XMPlaneFromPoints function (directxmath.h)
Computes the equation of a plane constructed from three points in the plane.
Syntax
XMVECTOR XM_CALLCONV XMPlaneFromPoints(
[in] FXMVECTOR Point1,
[in] FXMVECTOR Point2,
[in] FXMVECTOR Point3
) noexcept;
Parameters
[in] Point1
3D vector describing a point in the plane.
[in] Point2
3D vector describing a point in the plane.
[in] Point3
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
| Requirement | Value |
|---|---|
| Target Platform | Windows |
| Header | directxmath.h |