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M_TRIANGLE(3)		    Library Functions Manual		 M_TRIANGLE(3)

NAME
       M_Triangle -- Agar-Math triangle	structure

SYNOPSIS
       #include	<agar/core.h>
       #include	<agar/gui.h>
       #include	<agar/math/m.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()  ex-
       pand  to	 static	 initializers for M_Triangle2 and M_Triangle3, respec-
       tively.

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,
       otherwise 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.

Agar 1.7		       December	21, 2022		 M_TRIANGLE(3)

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