Plane3d
A plane represented by a (possibly) normalized normal vector and the distance to the origin. Note that the plane does not enforce the normalized normal vector. Equation for points p on the plane: Normal dot p == Distance
Constructors
| Constructor | Description |
new(normalizedNormal, distance)
Signature: (normalizedNormal:V3d * distance:float) -> unit
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Creates plane from normal vector and constant. IMPORTANT: The supplied vector has to be normalized in order for all methods to work correctly, however if only relative height computations using the method are necessary, the normal vector need not be normalized. |
new(normalizedNormal, point)
Signature: (normalizedNormal:V3d * point:V3d) -> unit
|
Creates plane from point and normal vector. IMPORTANT: The supplied vector has to be normalized in order for all methods to work correctly, however if only relative height computations using the method are necessary, the normal vector need not be normalized. |
new(p0, p1, p2)
Signature: (p0:V3d * p1:V3d * p2:V3d) -> unit
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Creates a plane from 3 independent points. A normalized normal vector is computed and stored. |
Instance members
| Instance member | Description |
BoundingBox3d
Signature: Box3d
Modifiers: abstract |
Gets entire double space as bounding box. |
Coefficients
Signature: V4d
|
Returns the coefficients (a, b, c, d) of the normal equation. |
Equals(other)
Signature: other:obj -> bool
Modifiers: abstract |
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GetHashCode()
Signature: unit -> int
Modifiers: abstract |
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Height(p)
Signature: p:V3d -> float
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The signed height of the supplied point over the plane. |
IsInvalid
Signature: bool
Modifiers: abstract |
Returns true if the normal of the plane is the zero-vector. |
IsValid
Signature: bool
Modifiers: abstract |
Returns true if the normal of the plane is not the zero-vector. |
NearestPoint(x)
Signature: x:V3d -> V3d
|
Projets the given point x perpendicular on the plane and returns the nearest point on the plane. |
Normalize()
Signature: unit -> unit
|
Calculates the nomalized plane of this . |
Normalized
Signature: Plane3d
|
Returns the normalized as new . |
Point()
Signature: unit -> unit
|
The point on the plane which is closest to the origin. |
Reverse()
Signature: unit -> unit
|
Changes sign of normal vector |
Reversed
Signature: Plane3d
|
Returns with normal vector in opposing direction. |
Sign(p)
Signature: p:V3d -> int
|
The sign of the height of the point over the plane. |
ToString()
Signature: unit -> string
Modifiers: abstract |
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Transformed(trafo)
Signature: trafo:Trafo3d -> Plane3d
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Transforms the plane with a given trafo using the inverse transposed matrix. |
Transformed(trafo)
Signature: trafo:M44d -> Plane3d
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Transforms the plane with a given matrix. The matrix is assumed to be the inverse transpose of the transformation. The returned plane also gets normalized. |
Static members
| Static member | Description |
op_Equality(a, b)
Signature: (a:Plane3d * b:Plane3d) -> bool
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op_Inequality(a, b)
Signature: (a:Plane3d * b:Plane3d) -> bool
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Parse(s)
Signature: s:string -> Plane3d
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