File: samplef.sci

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// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
// Copyright (C) 2003 - INRIA - Carlos Klimann
// 
// This file must be used under the terms of the CeCILL.
// This source file is licensed as described in the file COPYING, which
// you should have received as part of this distribution.  The terms
// are also available at
// http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
// 

function s=samplef(n,X,f,orient)
// 
//This function gives s, a  vector of lenght n.  It contains
//a  sample of  n  extractions, with  replacement, from  the
//vector  (or  matrix)  X,  each element  counted  with  the
//frequence given by the corresponding value in vector f.
//
//s=samplef(n,X,f)   (or  s=samplef(n,X,f,'*'))   returns  a
//vector s whose values are a random sample of n values from
//X,   each  value   with  a   probability  to   be  sampled
//proportional  to the corresponding  value of  f, extracted
//with replacement, from X.  f must have same lenght than X.
//
//s=samplef(n,X,f,'r')           (or,          equivalently,
//s=samplef(n,X,f,1))    returns    a    matrix   of    type
//size(X,'r')xn.  It contains a random sample of n rows from
//X, each row with  a probability to be sampled proportional
//to   the  corresponding   value  of   f,   extracted  with
//replacement, from the  rows of X. The lenght  of f must be
//equal to the number of rows of X.
//
//s=samplef(n,X,f,'c')           (or,          equivalently,
//s=samplef(n,X,f,2))    returns    a    matrix   of    type
//nxsize(X,'c').  It  contains a random sample  of n columns
//from  X, each  column  with a  probability  to be  sampled
//proportional  to the corresponding  value of  f, extracted
//with replacement, from the columns  of X.  The lenght of f
//must be equal to the number of columns of X.
//
  [lhs,rhs]=argn(0)
  if rhs<3 | rhs>4 then error(msprintf(gettext("%s: Wrong number of input arguments: %d to %d expected.\n"),"samplef",3,4)), end
  if X==[]| (or(f==0)) then s=[]; return;end
  sizx=size(X)
  val=cumsum([0;f(:)])
  y=grand(n,1,'uin',1,val($))
  ind=dsearch(y,val,'c')
  if rhs==3 then 
    orient='*'
  end
  if orient=='*' then
    if size(f,'*')<>prod(sizx) then
      error(msprintf(gettext("%s: Wrong size for input argument #%d and #%d: Same size expected.\n"), "samplef",2,3)),
    end
    s=X(ind)
    return
  end
  if orient=='r'|orient==1 then
    if size(f,'*')<>sizx(1) then
	  error(msprintf(gettext("%s: Wrong size for input argument #%d: Same number of rows of the second input argument expected.\n"), "samplef",3)),
    end
    s=X(ind,:)
    return
  end
  if orient=='c'|orient==2 then
    if size(f,'*')<>sizx(2) then
	  	  error(msprintf(gettext("%s: Wrong size for input argument #%d: Same number of columns of the second input argument expected.\n"), "samplef",3)),
    end
    s=X(:,ind)
    return
  end
  error(msprintf(gettext("%s: Wrong value for input argument #%d: ''%s'', ''%s'', ''%s'', %d or %d expected.\n"),"orient",4,"*","r","c",1,2))
endfunction