def checkPointInPlane(self, plane: Plane, point: Point):
vector = Vector3D(point.getX(), point.getY(), point.getZ())
typeOfPlane = plane.getType()
pointInPlane = False
if typeOfPlane == "normal":
result = vector.subtract(plane.getPositionVector())
answer = result.scalarProduct(plane.getNormalVector())
if answer == 0:
pointInPlane = True
else:
pointInPlane = False
elif typeOfPlane == "parameter":
dirVec1 = plane.getDirectionVectorOne()
dirVec2 = plane.getDirectionVectorTwo()
result = vector.subtract(plane.getPositionVector())
arrayOne = np.array([[dirVec1.getX(),
dirVec1.getY()],
[dirVec2.getX(),
dirVec2.getY()]])
arrayTwo = np.array([result.getX(), result.getY()])
solution = np.linalg.solve(arrayOne, arrayTwo)
if solution[0] * dirVec1.getZ() + solution[1] * dirVec2.getZ(
) == result.getZ():
pointInPlane = True
else:
pointInPlane = False
elif typeOfPlane == "coordinate":
normVec = plane.getNormalVector()
if point.getX() * normVec.getX() + point.getY() * normVec.getY(
) + point.getZ() * normVec.getZ() == plane.getScalarParameter():
pointInPlane = True
else:
pointInPlane = False
return pointInPlane
def solveForPointPlane(self, line: Line, plane: Plane):
if plane.getType() == "normal":
normVec = plane.getNormalVector()
posVecP = plane.getPositionVector()
scalarParam = posVecP.scalarProduct(normVec)
posVec = line.getPositionVector()
dirVec = line.getDirectionVector()
xValNoVar = normVec.getX() * posVec.getX()
yValNoVar = normVec.getY() * posVec.getY()
zValNoVar = normVec.getZ() * posVec.getZ()
xValVar = normVec.getX() * dirVec.getX()
yValVar = normVec.getY() * dirVec.getY()
zValVar = normVec.getZ() * dirVec.getZ()
ValVar = xValVar + yValVar + zValVar
ValNoVar = scalarParam - xValNoVar - yValNoVar - zValNoVar
Var = ValNoVar / ValVar
SchnittPoint = Point(posVec.getX() + Var * dirVec.getX(),
posVec.getY() + Var * dirVec.getY(),
posVec.getZ() + Var * dirVec.getZ())
return SchnittPoint
elif plane.getType() == "coordinate":
normVec = plane.getNormalVector()
scalarParam = plane.getScalarParameter()
posVec = line.getPositionVector()
dirVec = line.getDirectionVector()
xValNoVar = normVec.getX() * posVec.getX()
yValNoVar = normVec.getY() * posVec.getY()
zValNoVar = normVec.getZ() * posVec.getZ()
xValVar = normVec.getX() * dirVec.getX()
yValVar = normVec.getY() * dirVec.getY()
zValVar = normVec.getZ() * dirVec.getZ()
ValVar = xValVar + yValVar + zValVar
ValNoVar = scalarParam - xValNoVar - yValNoVar - zValNoVar
Var = ValNoVar / ValVar
SchnittPoint = Point(posVec.getX() + Var * dirVec.getX(),
posVec.getY() + Var * dirVec.getY(),
posVec.getZ() + Var * dirVec.getZ())
return SchnittPoint
elif plane.getType() == "parameter":
normVec = plane.getDirectionVectorOne().vectorProduct(
plane.getDirectionVectorTwo())
posVecP = plane.getPositionVector()
scalarParam = posVecP.scalarProduct(normVec)
posVec = line.getPositionVector()
dirVec = line.getDirectionVector()
xValNoVar = normVec.getX() * posVec.getX()
yValNoVar = normVec.getY() * posVec.getY()
zValNoVar = normVec.getZ() * posVec.getZ()
xValVar = normVec.getX() * dirVec.getX()
yValVar = normVec.getY() * dirVec.getY()
zValVar = normVec.getZ() * dirVec.getZ()
ValVar = xValVar + yValVar + zValVar
ValNoVar = scalarParam - xValNoVar - yValNoVar - zValNoVar
Var = ValNoVar / ValVar
SchnittPoint = Point(posVec.getX() + Var * dirVec.getX(),
posVec.getY() + Var * dirVec.getY(),
posVec.getZ() + Var * dirVec.getZ())
return SchnittPoint