Agar

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SYNOPSIS

#include <agar/math.h>

DESCRIPTION

The M_Triangle2 structure describes a triangle in R2 in terms of three lines: 
typedef struct m_triangle2 {
	M_Line2 a, b, c;
} M_Triangle2;

Similarly, M_Triangle3 describes a triangle in R3: 
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, 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.
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