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    • JeremyAnsel.DirectX.D2D1
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    • JeremyAnsel.DirectX.D3D10
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    • JeremyAnsel.DirectX.D3DCompiler
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    • JeremyAnsel.DirectX.DXMath
      • XMColor
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      • XMPlane
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    • JeremyAnsel.DirectX.DXMath.Collision
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      • Half
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    • JeremyAnsel.DirectX.Dxgi
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    Class XMPlane

    The plane functions provided by DirectXMath.

    Inheritance
    object
    XMPlane
    Inherited Members
    object.Equals(object)
    object.Equals(object, object)
    object.GetHashCode()
    object.GetType()
    object.MemberwiseClone()
    object.ReferenceEquals(object, object)
    object.ToString()
    Namespace: JeremyAnsel.DirectX.DXMath
    Assembly: JeremyAnsel.DirectX.DXMath.dll
    Syntax
    public static class XMPlane
    Remarks

    These functions use an XMVector 4-vector to represent the coefficients of the plane equation, Ax+By+Cz+D = 0, where the X-component is A, the Y-component is B, the Z-component is C, and the W-component is D.

    Methods

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    Dot(XMVector, XMVector)

    Calculates the dot product between an input plane and a 4D vector.

    Declaration
    public static XMVector Dot(XMVector p, XMVector v)
    Parameters
    Type Name Description
    XMVector p

    The plane.

    XMVector v

    The 4D vector to use in the dot product.

    Returns
    Type Description
    XMVector

    Returns the dot product of P and V replicated into each of the four components of the returned XMVector.

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    DotCoord(XMVector, XMVector)

    Calculates the dot product between an input plane and a 3D vector.

    Declaration
    public static XMVector DotCoord(XMVector p, XMVector v)
    Parameters
    Type Name Description
    XMVector p

    The plane.

    XMVector v

    3D vector to use in the dot product. The w component of V is always treated as if is 1.0f.

    Returns
    Type Description
    XMVector

    Returns the dot product between P and V replicated into each of the four components of the returned XMVector.

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    DotNormal(XMVector, XMVector)

    Calculates the dot product between the normal vector of a plane and a 3D vector.

    Declaration
    public static XMVector DotNormal(XMVector p, XMVector v)
    Parameters
    Type Name Description
    XMVector p

    The plane.

    XMVector v

    3D vector to use in the dot product. The w component of V is always treated as if is 0.0f.

    Returns
    Type Description
    XMVector

    Returns the dot product between the normal vector of the plane and V replicated into each of the four components of the returned XMVector.

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    Equal(XMVector, XMVector)

    Determines if two planes are equal.

    Declaration
    public static bool Equal(XMVector p1, XMVector p2)
    Parameters
    Type Name Description
    XMVector p1

    The first plane.

    XMVector p2

    The second plane.

    Returns
    Type Description
    bool

    Returns true if the two planes are equal and false otherwise.

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    FromPointNormal(XMVector, XMVector)

    Computes the equation of a plane constructed from a point in the plane and a normal vector.

    Declaration
    public static XMVector FromPointNormal(XMVector point, XMVector normal)
    Parameters
    Type Name Description
    XMVector point

    A point in the plane.

    XMVector normal

    The normal to the plane.

    Returns
    Type Description
    XMVector

    Returns a vector whose components are the coefficients of the plane.

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    FromPoints(XMVector, XMVector, XMVector)

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

    Declaration
    public static XMVector FromPoints(XMVector point1, XMVector point2, XMVector point3)
    Parameters
    Type Name Description
    XMVector point1

    A first point in the plane.

    XMVector point2

    A second point in the plane.

    XMVector point3

    A third point in the plane.

    Returns
    Type Description
    XMVector

    Returns a vector whose components are the coefficients of the plane.

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    IntersectLine(XMVector, XMVector, XMVector)

    Finds the intersection between a plane and a line.

    Declaration
    public static XMVector IntersectLine(XMVector p, XMVector linePoint1, XMVector linePoint2)
    Parameters
    Type Name Description
    XMVector p

    The plane

    XMVector linePoint1

    The first point on the line.

    XMVector linePoint2

    The second point on the line.

    Returns
    Type Description
    XMVector

    Returns the intersection of the plane P and the line defined by LinePoint1 and LinePoint2. If the line is parallel to the plane, all components of the returned vector are equal to QNaN.

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    IntersectPlane(out XMVector, out XMVector, XMVector, XMVector)

    Finds the intersection of two planes.

    Declaration
    public static void IntersectPlane(out XMVector linePoint1, out XMVector linePoint2, XMVector p1, XMVector p2)
    Parameters
    Type Name Description
    XMVector linePoint1

    One point on the line of intersection.

    XMVector linePoint2

    A second point on the line of intersection.

    XMVector p1

    The first plane.

    XMVector p2

    The second plane.

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    IsInfinite(XMVector)

    Tests whether any of the coefficients of a plane is positive or negative infinity.

    Declaration
    public static bool IsInfinite(XMVector p)
    Parameters
    Type Name Description
    XMVector p

    The plane.

    Returns
    Type Description
    bool

    Returns true if any of the coefficients of the plane is positive or negative infinity, and false otherwise.

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    IsNaN(XMVector)

    Tests whether any of the coefficients of a plane is a NaN.

    Declaration
    public static bool IsNaN(XMVector p)
    Parameters
    Type Name Description
    XMVector p

    The plane.

    Returns
    Type Description
    bool

    Returns true if any of the coefficients of the plane is a NaN, and false otherwise.

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    NearEqual(XMVector, XMVector, XMVector)

    Determines whether two planes are nearly equal.

    Declaration
    public static bool NearEqual(XMVector p1, XMVector p2, XMVector epsilon)
    Parameters
    Type Name Description
    XMVector p1

    The first plane.

    XMVector p2

    The second plane.

    XMVector epsilon

    the component-wise tolerance to use.

    Returns
    Type Description
    bool

    Returns true if P1 is nearly equal to P2 and false otherwise.

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    Normalize(XMVector)

    Normalizes the coefficients of a plane so that coefficients of x, y, and z form a unit normal vector.

    Declaration
    public static XMVector Normalize(XMVector p)
    Parameters
    Type Name Description
    XMVector p

    The plane.

    Returns
    Type Description
    XMVector

    Returns the normalized plane.

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    NormalizeEst(XMVector)

    Estimates the coefficients of a plane so that coefficients of x, y, and z form a unit normal vector.

    Declaration
    public static XMVector NormalizeEst(XMVector p)
    Parameters
    Type Name Description
    XMVector p

    The plane.

    Returns
    Type Description
    XMVector

    Returns an estimation of the normalized plane.

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    NotEqual(XMVector, XMVector)

    Determines if two planes are unequal.

    Declaration
    public static bool NotEqual(XMVector p1, XMVector p2)
    Parameters
    Type Name Description
    XMVector p1

    The first plane.

    XMVector p2

    The second plane.

    Returns
    Type Description
    bool

    Returns true if the two planes are unequal and false otherwise.

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    Transform(XMVector, XMMatrix)

    Transforms a plane by a given matrix.

    Declaration
    public static XMVector Transform(XMVector p, XMMatrix m)
    Parameters
    Type Name Description
    XMVector p

    The plane.

    XMMatrix m

    The transformation matrix.

    Returns
    Type Description
    XMVector

    Returns the transformed plane.

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