Vector norm

Vector 2-norm of input (Pythagorean).

Collaboration diagram for Vector norm:

With input \(x\), the output is calculated as \(\|x\|_2 = \sqrt{x_{1}^{2} + x_{2}^{2} + ... + x_{N}^{2}}\), where N is the number of vector elements in \(x\).

Author

Jorgen Haavind Jensen

Date

Q3 2014: Initial version.

Example configuration excerpt

<Lib
  LibName   = "fhsim_base"
  SimObject = "Math/VectorNorm"
  Name      = "A"
  PortWidth = "2"
/>
...
<Connection
  A.In = "10,4"
/>

Input Ports

Name	Width	Description
In	<PortWidth>	The input port

Output Ports

Name	Width	Description
Out	<PortWidth>	The norm of "In".

Configuration parameters

Name	Width	Description
PortWidth	1	The number of elements in the signal.

Initial conditions

This SimObject contains no initial conditions.

Full example file

<Contents>
  <OBJECTS>
    <Lib
        LibName="base" 
        SimObject="Math/VectorNorm"  
        Name="Norm"
        PortWidth = "3"
    />
    
    </OBJECTS>
  
  <INTERCONNECTIONS>
    <Connection
    Norm.In="3,2,0"
    />
  </INTERCONNECTIONS>
 
  <INITIALIZATION>
    <InitialCondition
    />
  </INITIALIZATION>
 
  <INTEGRATION>
    <Engine
    IntegratorMethod="2"
    NumCores="1"
    TOutput="0, 3:1:5, 30"
    LogStates ="1"  
    stepsize ="0"
    HMax="0.002"
    HMin="0.00000001"
    AbsTol="1e-3" RelTol="1e-3"
    UseRSSNormInsteadOfInfNorm="0"
    FileOutput="objects:all"
    />
  </INTEGRATION>
</Contents>

This SimObject is referred to as Math/VectorNorm