SiMS
sims.math

class Matrix22
[source: sims/math/Matrix22.scala]
case class Matrix22(val c11 : Double, val c12 : Double, val c21 : Double, val c22 : Double)
extends scala.Product
Eine 2x2, quadratische Matrix.
Parameters
c11 - Komponente 1,1
c12 - Komponente 1,2
c21 - Komponente 2,1
c22 - Komponente 2,2
Additional Constructor Summary
def this (c1 : Vector2D, c2 : Vector2D) : Matrix22
Eine 2x2-dimensionale, quadratische Matrix kann auch mit zwei 2-dimensionalen Vektoren erstellt werden. In diesem Fall repraesentiert jeder Vektor eine Spalte.
Method Summary
def * (v : Vector2D) : Vector2D
Multiplikation mit einer 2x1-Matrix (2-dimensionaler Vektor).
def * (n : Double) : Matrix22
Multiplikation mit einem Skalar.
def * (m : Matrix22) : Matrix22
Multiplikation mit einer anderen 2x2-Matrix.
def + (m : Matrix22) : Matrix22
Addition.
def det : Double
Ergibt die Determinante dieser Matrix.
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 invert : Matrix22
Inverse.
override def productArity : Int
override def productElement (arg0 : Int) : Any
override def productPrefix : java.lang.String
override def toString : java.lang.String
Returns a string representation of the object.
Methods inherited from AnyRef
getClass, clone, notify, notifyAll, wait, wait, wait, finalize, ==, !=, eq, ne, synchronized
Methods inherited from Any
==, !=, isInstanceOf, asInstanceOf
Additional Constructor Details
def this(c1 : Vector2D, c2 : Vector2D) : Matrix22
Eine 2x2-dimensionale, quadratische Matrix kann auch mit zwei 2-dimensionalen Vektoren erstellt werden. In diesem Fall repraesentiert jeder Vektor eine Spalte.
Parameters
c1 - erste Spalte
c2 - zweite Spalte
Method Details
def det : Double
Ergibt die Determinante dieser Matrix.
Returns
Determinante dieser Matrix
def +(m : Matrix22) : Matrix22
Addition.
def *(n : Double) : Matrix22
Multiplikation mit einem Skalar.
def *(m : Matrix22) : Matrix22
Multiplikation mit einer anderen 2x2-Matrix.
def *(v : Vector2D) : Vector2D
Multiplikation mit einer 2x1-Matrix (2-dimensionaler Vektor).
def invert : Matrix22
Inverse.
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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