Ejemplo n.º 1
0
    def schnittgerade(self, plane1: Plane, plane2: Plane):
        """Calculates and Returns the schnittgerade of two Planes.
           Returns a Line instance."""
        pla1 = plane1.convertToHessianNormalForm()
        pla2 = plane2.convertToHessianNormalForm()

        normvec1 = pla1.normVec
        normvec2 = pla2.normVec

        posnum1 = pla1.posVec.scalarProduct(normvec1)
        posnum2 = pla2.posVec.scalarProduct(normvec2)

        schnittgerade = not Solvers.checkLinearAbhaengig(
            normvec1, normvec2)  # Testing if the Planes are not Parallel

        if schnittgerade:
            dirVec = normvec1.vectorProduct(normvec2)
            posVecScalar1 = ((posnum1 * normvec2.square()) -
                             (posnum2 * normvec1.scalarProduct(normvec2))) / (
                                 (normvec1.square() * normvec2.square()) -
                                 normvec1.scalarProduct(normvec2)**2)
            posVecScalar2 = ((posnum2 * normvec1.square()) -
                             (posnum1 * normvec1.scalarProduct(normvec2))) / (
                                 (normvec1.square() * normvec2.square()) -
                                 normvec1.scalarProduct(normvec2)**2)
            normvec1 = normvec1.scalarMultiplication(posVecScalar1)
            normvec2 = normvec2.scalarMultiplication(posVecScalar2)
            posVec = normvec1.add(normvec2)
            schnittgerade = Line(posVec,
                                 dirVec,
                                 name=("Schnittgerade von " + pla1.name +
                                       " und " + pla2.name))
        return schnittgerade
Ejemplo n.º 2
0
def main():
    pygame.init()
    screen = pygame.display.set_mode((640,480))
    pygame.display.set_caption("Animated Line")
    line = Line(screen)
    clock = pygame.time.Clock()
    while 1:
        clock.tick(30)
        screen.fill((50, 50, 100))
        line.update()
        line.draw()
        pygame.display.flip()
        for event in pygame.event.get():
            if event.type == QUIT:
                pygame.quit()
                return
            elif event.type == KEYDOWN and event.key == K_ESCAPE:
                pygame.quit()
                return
Ejemplo n.º 3
0
     Vec2 = Vector3D(input("x = "),input("y = "),input("z = "),input("Name = "))
     print("Ergebnis: " + str(Vec1.scalarProduct(Vec2)))
 elif UserInput == "VecMultVecCro":
     Vec1 = Vector3D(input("x = "),input("y = "),input("z = "),input("Name = "))
     Vec2 = Vector3D(input("x = "),input("y = "),input("z = "),input("Name = "))
     print("Ergebnis: " + str(Vec1.vectorProduct(Vec2)))
 elif UserInput == "NewPoi":
     PoiList.append(Point(input("x = "),input("y = "),input("z = "),input("Name = ")))
     print(str(PoiList[-1]))
 elif UserInput == "NewLin":
     print("Position Vector: ")
     Vec1 = Vector3D(input("x = "),input("y = "),input("z = "),input("Name = "))
     print("Direction Vector: ")
     Vec2 = Vector3D(input("x = "),input("y = "),input("z = "),input("Name = "))
     name = input("Name: ")
     LinList.append(Line(Vec1, Vec2, name, (0, 0, 0)))
     print(str(LinList[-1]))
 elif UserInput == "NewPla":
     print("Position Vector: ")
     Vec1 = Vector3D(input("x = "),input("y = "),input("z = "),input("Name = "))
     print("Direction Vector One: ")
     Vec2 = Vector3D(input("x = "),input("y = "),input("z = "),input("Name = "))
     print("Direction Vector Two: ")
     Vec3 = Vector3D(input("x = "),input("y = "),input("z = "),input("Name = "))
     name = input("Name: ")
     PlaList.append(Plane.parameterForm(Vec1, Vec2, Vec3, name, (0, 0, 0)))
     print(str(PlaList[-1]))
 elif UserInput == "ConvertPlaToHess":
     print("Position Vector: ")
     Vec1 = Vector3D(input("x = "),input("y = "),input("z = "),input("Name = "))
     print("Direction Vector One: ")