Function directx_math::XMPlaneFromPoints

pub fn XMPlaneFromPoints(
    Point1: FXMVECTOR, 
    Point2: FXMVECTOR, 
    Point3: FXMVECTOR
) -> XMVECTOR

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

Parameters

Point1 3D vector describing a point in the plane.

Point2 3D vector describing a point in the plane.

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 Ax+By+Cz+D=0.

Remarks

The following pseudocode demonstrates the operation of the function:

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;

Reference

https://docs.microsoft.com/en-us/windows/win32/api/directxmath/nf-directxmath-XMPlaneFromPoints