Documentation of objridge

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Function Synopsis

ObjVal = objridge(Chrom, P1, P2)

Help text

 OBJective function RIDGE

 This function implements the coninuous and discrete variant of the
 Ridge function. The global minimum is a narrow ridge along the axis
 of the first variable. 

 This function was defined as stepfun5 function in:
   Jain, Clusterbasierte Abbruchkriterien fuer den Evolutionaeren Test. 
     Diploma-thesis, Technical University of Berlin, Department of 
     Computer Science, chapter 5.1, 1999.
 in order to investigate the behaviour of clusterbased termination 
 criteria in narrow ridges.

 Syntax: ObjVal = objridge(Chrom, P1, P2)

 Input parameters:
    Chrom     - Matrix containing the chromosomes of the current
                population. Each row corresponds to one individual's
                string representation.
                If Chrom == [NaN xxx]  or 
                   Chrom == [NaN xxx yyy], 
               then special values will be returned, see Output parameters
                   xxx == 1 (or []) return boundaries
                   xxx == 2 return title 
                      yyy == 0 return title of continuous variant
                      yyy == 1 return title of discrete variant
                   xxx == 3 return value of global minimum
    P1        - (Optional) Number indicating which variant is used,
                if Chrom is not NaN or []. 
                   P1 = 1  use discrete version
                   P1 = 0  use continuous version
                If P1 is omitted or P1 = [] the discrete version 
                   is used (P1 = 1).
    P2        - Additional parameter

 Output parameters:
    ObjVal    - Column vector containing the objective values of the
                individuals in the current population.
                if called with 
                   Chrom == [NaN xxx] or Chrom == [NaN xxx yyy], 
                then ObjVal contains
                   xxx == 1 (or []), matrix with the boundaries of 
                                     the varaibles
                   xxx == 2, text with the title of the function
                      yyy omitted: title of continuous variant
                      yyy = 0      title of continuous variant
                      yyy = 1      title of discrete variant
                   xxx == 3, value of global minimum

 Examples:

  % continuous variant of the Four-Wings function
  >> objridge(Chrom)

  % discrete variant of the Four-Wings function
  >> objridge(Chrom, 1)