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M_TRIANGLE(3)		 BSD Library Functions Manual		 M_TRIANGLE(3)

NAME
     M_Triangle	-- Agar-Math triangle structure

SYNOPSIS
     #include <agar/math.h>

DESCRIPTION
     The M_Triangle2 structure describes a triangle in R^2 in terms of three
     lines:

     typedef struct m_triangle2	{
	     M_Line2 a,	b, c;
     } M_Triangle2;

     Similarly,	M_Triangle3 describes a	triangle in R^3:

     typedef struct m_triangle3	{
	     M_Line3 a,	b, c;
     } M_Triangle3;

INITIALIZATION
     M_Triangle2 M_TriangleFromLines2(M_Line2 L1, M_Line2 L2, M_Line2 L3)

     M_Triangle3 M_TriangleFromLines3(M_Line3 L1, M_Line3 L2, M_Line3 L3)

     M_Triangle2 M_TriangleFromPts2(M_Vector2 a, M_Vector2 b, M_Vector2	c)

     M_Triangle3 M_TriangleFromPts3(M_Vector3 a, M_Vector3 b, M_Vector3	c)

     M_Triangle2 M_TriangleRead2(AG_DataSource *ds)

     M_Triangle3 M_TriangleRead3(AG_DataSource *ds)

     void M_TriangleWrite2(AG_DataSource *ds, M_Triangle2 *T)

     void M_TriangleWrite3(AG_DataSource *ds, M_Triangle3 *T)

     M_Triangle2 M_TRIANGLE2_INITIALIZER(M_Vector2 a, M_Vector2	b, M_Vector2
     c)

     M_Triangle3 M_TRIANGLE3_INITIALIZER(M_Vector3 a, M_Vector3	b, M_Vector3
     c)

     The functions M_TriangleFromLines2() and M_TriangleFromLines3() return an
     M_Triangle2 or M_Triangle3	describing a triangle in terms of three	lines
     L1, L2 and	L3.  The three lines must be non-colinear and their endpoints
     must coincide.

     M_TriangleFromPts2() and M_TriangleFromPts3() return a triangle in	terms
     of	three (non-colinear) points a, b, c.

     The M_TriangleRead[23]() and M_TriangleWrite[23]()	functions read or
     write a triangle structure	from/to	an AG_DataSource(3).

     The macros	M_TRIANGLE2_INITIALIZER() and M_TRIANGLE3_INITIALIZER()	expand
     to	static initializers for	M_Triangle2 and	M_Triangle3, respectively.

COMPUTATIONS
     int M_PointInTriangle2(M_Triangle2	T, M_Vector2 p)

     The M_PointInTriangle2() routine tests (using barycentric coordinates)
     whether point p lies within the triangle T	and returns 1 if it does, oth-
     erwise 0.

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_Triangle structure first appeared in	Agar 1.3.4.

BSD				 July 17, 2009				   BSD
NAME | SYNOPSIS | DESCRIPTION | INITIALIZATION | COMPUTATIONS | SEE ALSO | HISTORY

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