#-------------------------------------------------------------
#
# Licensed to the Apache Software Foundation (ASF) under one
# or more contributor license agreements.  See the NOTICE file
# distributed with this work for additional information
# regarding copyright ownership.  The ASF licenses this file
# to you under the Apache License, Version 2.0 (the
# "License"); you may not use this file except in compliance
# with the License.  You may obtain a copy of the License at
# 
#   http://www.apache.org/licenses/LICENSE-2.0
# 
# Unless required by applicable law or agreed to in writing,
# software distributed under the License is distributed on an
# "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
# KIND, either express or implied.  See the License for the
# specific language governing permissions and limitations
# under the License.
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#-------------------------------------------------------------

V = read($1,rows=$2,cols=$3);
m = $2;
n = $3;
W = m;

R = matrix(0, rows=n,cols=n); 

parfor( i in 1:8, par=2, mode=LOCAL, opt=NONE )
{
   X = V[,i];                 
   m2X = moment(X,2);
   sigmaX = sqrt(m2X * (W/(W-1.0)) );
      
   parfor( j in (i+1):(i+9), par=2, mode=LOCAL, opt=NONE )  
   {  
      Y = V[,j];

      #corr computation    
      m2Y = moment(Y,2);
      sigmaY = sqrt(m2Y * (W/(W-1.0)) );      
      covXY = cov(X,Y);      
      rXY = covXY / (sigmaX*sigmaY); 
      
      #print("R[("+i+","+j+")]="+rXY); 
      R[i,j] = rXY; 
      
   }
}   

write(R, $4);       