XMPlaneFromPoints

Computes the equation of a plane constructed from three points in the plane.

Syntax

XMVECTOR XMPlaneFromPoints(
         XMVECTOR Point1,
         XMVECTOR Point2,
         XMVECTOR Point3
)  

Parameters

Point1
Type: XMVECTOR 

3D vector describing a point in the plane.

Point2
Type: XMVECTOR 

3D vector describing a point in the plane.

Point3
Type: XMVECTOR 

3D vector describing a point in the plane.

Return value

Type: XMVECTOR 

Returns a vector whose components are the coefficients of the plane (A, B, C, D) for the plane equation

XMVECTOR Result;
XMVECTOR N;
XMVECTOR D;

XMVECTOR V21 = XMVectorSubtract(Point1, Point2);
XMVECTOR V31 = XMVectorSubtract(Point1, Point3);

N = XMVector3Cross(V21, V31);
N = XMVector3Normalize(N);

D = XMPlaneDotNormal(N, Point1);

Result.x = N.x;
Result.y = N.y;
Result.z = N.z;
Result.w = -D.w;

return Result;  

.

Remarks

The following pseudocode demonstrates the operation of the function:
Ax+By+Cz+D=0

Requirements

Header: Declared in directxmath.h.