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M_POINT_SET(3)		     Library Functions Manual		  M_POINT_SET(3)

NAME
     M_PointSet -- Agar-Math point set structures

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

DESCRIPTION
     The  M_PointSet  family  of structures describe arbitrary sets of points in
     space.  They are defined as follows:

     /* Points in R^2 */
     typedef struct m_point_set2 {
	     M_Vector2 *p;
	     Uint n, nMax;
     } M_PointSet2;

     /* Points in Z^2 */
     typedef struct m_point_set2i {
	     M_Real w, h;
	     int *x, *y;
	     Uint n, nMax;
     } M_PointSet2i;

     /* Points in R^3 */
     typedef struct m_point_set3 {
	     M_Vector3 *p;
	     Uint n, nMax;
     } M_PointSet3;

     /* Points in Z^3 */
     typedef struct m_point_set3i {
	     M_Real w, h, d;		     /* Scaling factor */
	     int *x, *y, *z;
	     Uint n, nMax;
     } M_PointSet3i;

     The points in a M_PointSet[23] are stored under the p array of vectors (see
     M_Vector(3)).

     The points in M_PointSet[23]i are stored as separate arrays of integers  x,
     y,  z.  The w, h and d members specify scaling factors to use when convert-
     ing from an integer set to a real set.

INITIALIZATION
     void M_PointSetInit2(M_PointSet2 *S)

     void M_PointSetInit3(M_PointSet3 *S)

     void M_PointSetInit2i(M_PointSet2i *S, M_Real w, M_Real h)

     void M_PointSetInit3i(M_PointSet3i *S, M_Real w, M_Real h, M_Real d)

     int M_PointSetAlloc2(M_PointSet2 *S, Uint n)

     int M_PointSetAlloc3(M_PointSet3 *S, Uint n)

     int M_PointSetAlloc2i(M_PointSet2i *S, Uint n)

     int M_PointSetAlloc3i(M_PointSet3i *S, Uint n)

     void M_PointSetFree2(M_PointSet2 *S)

     void M_PointSetFree3(M_PointSet3 *S)

     void M_PointSetFree2i(M_PointSet2i *S)

     void M_PointSetFree3i(M_PointSet2i *S)

     M_PointSet2 M_PointSetRead2(AG_DataSource *ds)

     void M_PointSetWrite2(AG_DataSource *ds, const M_PointSet2 *S)

     M_PointSet3 M_PointSetRead3(AG_DataSource *ds)

     void M_PointSetWrite3(AG_DataSource *ds, const M_PointSet3 *S)

     M_PointSet2i M_PointSetRead2i(AG_DataSource *ds)

     void M_PointSetWrite2i(AG_DataSource *ds, const M_PointSet2i *S)

     M_PointSet3i M_PointSetRead3i(AG_DataSource *ds)

     void M_PointSetWrite3i(AG_DataSource *ds, const M_PointSet3i *S)

     M_PointSet2 M_POINT_SET2_EMPTY(void)

     M_PointSet3 M_POINT_SET3_EMPTY(void)

     M_PointSet2i M_POINT_SET2I_EMPTY(void)

     M_PointSet3i M_POINT_SET3I_EMPTY(void)

     The M_PointSetInit[23]() functions initialize a point set in R^2 or R^3  to
     the null set.

     The M_PointSetInit[23]i() functions initialize a point set in Z^3 or Z^3 to
     the null set.  The w, h, d arguments specify the scaling factor to use when
     converting from an integer to a real point set.

     The  M_PointSetAlloc*() functions allocates memory for the specified number
     of points, returning 0 on success or -1 if insufficient  memory  is  avail-
     able.

     The  M_PointSetFree*()  functions	free the point sets, clearing the arrays
     and reinitializing the point count to 0.

     The M_PointSetRead*() and M_TriangleWrite*() functions read or write a tri-
     angle structure from/to an AG_DataSource(3).

     The macros M_POINT_SET*_EMPTY() expand to static initializers  for  any  of
     the M_PointSet structures.

OPERATIONS
     int M_PointSetAdd2(M_PointSet2 *S, M_Vector2 v)

     int M_PointSetAdd3(M_PointSet3 *S, M_Vector3 v)

     int M_PointSetAdd2i(M_PointSet2 *S, int x, int y)

     int M_PointSetAdd3i(M_PointSet3i *S, int x, int y, int z)

     int M_PointSetCopy2(M_PointSet2 *D, const M_PointSet2 *S)

     int M_PointSetCopy3(M_PointSet3 *D, const M_PointSet3 *S)

     int M_PointSetCopy2i(M_PointSet2i *D, const M_PointSet2i *S)

     int M_PointSetCopy3i(M_PointSet3i *D, const M_PointSet3i *S)

     void M_PointSetSort2(M_PointSet2 *S, enum m_point_set_sort_mode2)

     void M_PointSetSort3(M_PointSet3 *S, enum m_point_set_sort_mode3)

     The  M_PointSetAdd*() functions insert a new point at the end of the set S.
     On success, the index of the new point is returned.  If insufficient memory
     is available, -1 is returned.

     The M_PointSetCopy*() functions copy the contents of source set S into des-
     tination set D, returning 0 on success or	-1  if	insufficient  memory  is
     available.

     The M_PointSetSort[23]() functions sort the point sets by point coordinate.
     The mode arguments specify the sorting mode:

     enum m_point_set_sort_mode2 {
	     M_POINT_SET_SORT_XY,
	     M_POINT_SET_SORT_YX,
     };
     enum m_point_set_sort_mode3 {
	     M_POINT_SET_SORT_XYZ,
	     M_POINT_SET_SORT_XZY,
	     M_POINT_SET_SORT_YXZ,
	     M_POINT_SET_SORT_YZX,
	     M_POINT_SET_SORT_ZXY,
	     M_POINT_SET_SORT_ZYX,
     };

SEE ALSO
     AG_DataSource(3),	 AG_Intro(3),  M_Circle(3),  M_Geometry(3),  M_Plane(3),
     M_Polygon(3), M_Rectangle(3), M_Sphere(3), M_Triangle(3), M_Vector(3)

HISTORY
     The M_PointSet family of structures first appeared in Agar 1.4.2.

Agar 1.7			December 21, 2022		  M_POINT_SET(3)

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