XMPlaneFromPoints method

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

Syntax


XMVECTOR XMPlaneFromPoints(
  [in] XMVECTOR Point1,
  [in] XMVECTOR Point2,
  [in] XMVECTOR Point3
);

Parameters

Point1 [in]: 3D vector describing a point in the plane.
Point2 [in]: 3D vector describing a point in the plane.
Point3 [in]: 3D vector describing a point in the plane.

Return value

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

Platform Requirements

Microsoft Visual Studio 2010 or Microsoft Visual Studio 2012 with the Windows SDK for Windows 8. Supported for Win32 desktop apps, Windows Store apps, and Windows Phone 8 apps.

Requirements

Namespace	Use DirectX.
Header	DirectXMath.h