SiMS
sims.geometry

class Vector2D
[source: sims/geometry/Vector2D.scala]
case class Vector2D(val x : Double, val y : Double)
extends scala.Product
Ein 2-dimensionaler Vektor.
Parameters
x - 1. Komponente
y - 2. Komponente
Value Summary
val length : Double
Norm dieses Vektors.
Method Summary
def * (n : Double) : Vector2D
Multiplikation mit einem Skalar.
def + (v : Vector2D) : Vector2D
Vektoraddition.
def - (v : Vector2D) : Vector2D
Vektorsubstraktion.
def / (n : Double) : Vector2D
Division durch ein Skalar.
def components : scala.List[Double]
Ergibt eine Liste der Komponenten dieses Vektors.
def cross (v : Vector2D) : Double
Kreuzprodukt. (Norm des Kreuzproduktes)
def dot (v : Vector2D) : Double
Skalarprodukt.
override def equals (arg0 : Any) : Boolean
This method is used to compare the receiver object (this) with the argument object (arg0) for equivalence.
override def hashCode : Int
Returns a hash code value for the object.
def isNull : Boolean
Ueberprueft, ob die Komponenten dieses Vektors gleich Null sind.
def leftNormal : Vector2D
Linker Normalenvektor. (-y, x)
override def productArity : Int
override def productElement (arg0 : Int) : Any
override def productPrefix : java.lang.String
def project (v : Vector2D) : Vector2D
Errechnet die Projektion dieses- auf einen anderen Vektor.
def rightNormal : Vector2D
Rechter Normalenvektor. (y, -x)
def rotate (angle : Double) : Vector2D
Errechnet eine Rotation dieses Vektors.
override def toString : java.lang.String
Returns a string representation of the object.
def unary_- : Vector2D
Minusvorzeichen.
def unit : Vector2D
Einheitsvektor dieses Vektors.
Methods inherited from AnyRef
getClass, clone, notify, notifyAll, wait, wait, wait, finalize, ==, !=, eq, ne, synchronized
Methods inherited from Any
==, !=, isInstanceOf, asInstanceOf
Value Details
val length : Double
Norm dieses Vektors.
Method Details
def +(v : Vector2D) : Vector2D
Vektoraddition.
Parameters
v - zu addierender Vektor
Returns
dieser Vektor addiert mit v
def -(v : Vector2D) : Vector2D
Vektorsubstraktion.
Parameters
v - zu substrahierender Vektor
Returns
dieser Vektor substrahiert mit v
def *(n : Double) : Vector2D
Multiplikation mit einem Skalar.
Parameters
n - Faktor
Returns
dieser Vektor multipliziert mit n
def /(n : Double) : Vector2D
Division durch ein Skalar.
Parameters
n - Nenner
Returns
dieser Vektor dividiert durch n
def unary_- : Vector2D
Minusvorzeichen.
def dot(v : Vector2D) : Double
Skalarprodukt.
Parameters
v - ein anderer Vektor
Returns
Skalarprodukt von diesem Vektor mit v
def cross(v : Vector2D) : Double
Kreuzprodukt. (Norm des Kreuzproduktes)
Parameters
v - ein anderer Vektor
Returns
Norm des Kreuzproduktes dieses Vektors mit v. Die Richtung wuerde der x3-Achse entsprechen.
def unit : Vector2D
Einheitsvektor dieses Vektors.
def project(v : Vector2D) : Vector2D
Errechnet die Projektion dieses- auf einen anderen Vektor.
Parameters
v - oben gennanter Vektor
Returns
Projektion dieses Vektors auf v
def rotate(angle : Double) : Vector2D
Errechnet eine Rotation dieses Vektors.
Parameters
angle - Winkel in Radian
Returns
der um angle rad rotierte Vektor
def leftNormal : Vector2D
Linker Normalenvektor. (-y, x)
def rightNormal : Vector2D
Rechter Normalenvektor. (y, -x)
def isNull : Boolean
Ueberprueft, ob die Komponenten dieses Vektors gleich Null sind.
def components : scala.List[Double]
Ergibt eine Liste der Komponenten dieses Vektors.
override def hashCode : Int
Returns a hash code value for the object.

The default hashing algorithm is platform dependent. Note that it is allowed for two objects to have identical hash codes (o1.hashCode.equals(o2.hashCode)) yet not be equal (o1.equals(o2) returns false). A degenerate implementation could always return 0. However, it is required that if two objects are equal (o1.equals(o2) returns true) that they have identical hash codes (o1.hashCode.equals(o2.hashCode)). Therefore, when overriding this method, be sure to verify that the behavior is consistent with the equals method.

Returns
the hash code value for the object.

override def toString : java.lang.String
Returns a string representation of the object.

The default representation is platform dependent.

Returns
a string representation of the object.

override def equals(arg0 : Any) : Boolean
This method is used to compare the receiver object (this) with the argument object (arg0) for equivalence.

The default implementations of this method is an equivalence relation:

  • It is reflexive: for any instance x of type Any, x.equals(x) should return true.
  • It is symmetric: for any instances x and y of type Any, x.equals(y) should return true if and only if y.equals(x) returns true.
  • It is transitive: for any instances x, y, and z of type AnyRef if x.equals(y) returns true and y.equals(z) returns true, then x.equals(z) should return true.

If you override this method, you should verify that your implementation remains an equivalence relation. Additionally, when overriding this method it is often necessary to override hashCode to ensure that objects that are "equal" (o1.equals(o2) returns true) hash to the same Int (o1.hashCode.equals(o2.hashCode)).

Parameters
arg0 - the object to compare against this object for equality.
Returns
true if the receiver object is equivalent to the argument; false otherwise.

override def productPrefix : java.lang.String
Overrides
scala.Product.scala.Product.productPrefix
override def productArity : Int
Overrides
scala.Product.scala.Product.productArity
override def productElement(arg0 : Int) : Any
Overrides
scala.Product.scala.Product.productElement
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