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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 20:19, 7 May 2022
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"no intersection"
</pre>
=={{header|Picat}}==
{{trans|Java}}
{{works with|Picat}}
<lang Picat>
plus(U, V) = {U[1] + V[1], U[2] + V[2], U[3] + V[3]}.
minus(U, V) = {U[1] - V[1], U[2] - V[2], U[3] - V[3]}.
times(U, S) = {U[1] * S, U[2] * S, U[3] * S}.
dot(U, V) = U[1] * V[1] + U[2] * V[2] + U[3] * V[3].
intersect_point(RayVector, RayPoint, PlaneNormal, PlanePoint) = IntersectPoint =>
Diff = minus(RayPoint, PlanePoint),
Prod1 = dot(Diff, PlaneNormal),
Prod2 = dot(RayVector, PlaneNormal),
Prod3 = Prod1 / Prod2,
IntersectPoint = minus(RayPoint, times(RayVector, Prod3)).
main =>
RayVector = {0.0, -1.0, -1.0},
RayPoint = {0.0, 0.0, 10.0},
PlaneNormal = {0.0, 0.0, 1.0},
PlanePoint = {0.0, 0.0, 5.0},
IntersectPoint = intersect_point(RayVector, RayPoint, PlaneNormal, PlanePoint),
printf("The ray intersects the plane at (%f, %f, %f)\n",
IntersectPoint[1],
IntersectPoint[2],
IntersectPoint[3]
).
</lang>
{{out}}
<pre>
The ray intersects the plane at (0.000000, -5.000000, 5.000000)
</pre>
=={{header|Python}}==
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