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Find the intersection of a line with a plane: Difference between revisions
Find the intersection of a line with a plane (view source)
Revision as of 19:03, 11 June 2018
, 6 years agoScala contribution added.
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(Scala contribution added.) |
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Intersection: P(0.6,2.4,4.2)</pre>
=={{header|Scala}}==
<lang Scala>object LinePLaneIntersection extends App {
val (rv, rp, pn, pp) =
(Vector3D(0.0, -1.0, -1.0), Vector3D(0.0, 0.0, 10.0), Vector3D(0.0, 0.0, 1.0), Vector3D(0.0, 0.0, 5.0))
val ip = intersectPoint(rv, rp, pn, pp)
def intersectPoint(rayVector: Vector3D,
rayPoint: Vector3D,
planeNormal: Vector3D,
planePoint: Vector3D): Vector3D = {
val diff = rayPoint - planePoint
val prod1 = diff dot planeNormal
val prod2 = rayVector dot planeNormal
val prod3 = prod1 / prod2
rayPoint - rayVector * prod3
}
case class Vector3D(x: Double, y: Double, z: Double) {
def +(v: Vector3D) = Vector3D(x + v.x, y + v.y, z + v.z)
def -(v: Vector3D) = Vector3D(x - v.x, y - v.y, z - v.z)
def *(s: Double) = Vector3D(s * x, s * y, s * z)
def dot(v: Vector3D): Double = x * v.x + y * v.y + z * v.z
override def toString = s"($x, $y, $z)"
}
println(s"The ray intersects the plane at $ip")
}</lang>
{{Out}}See it in running in your browser by [https://scalafiddle.io/sf/oLTlNZk/0 ScalaFiddle (JavaScript)].
=={{header|Sidef}}==
{{trans|Perl 6}}
Line 680 ⟶ 708:
))</lang>
{{out}}
<pre>Intersection at point: [0, -5, 5]</pre>▼
▲Intersection at point: [0, -5, 5]
=={{header|zkl}}==
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