// Function nest
//
// Same functionality as to the code that is in the your text, page 3.
//
// Brooke Beardsley, coded for NEIU Math304
// 8/10/2009
//
// Instructions to Load this:
// 1 - Install SCILAB (go to www.scilab.org)
// 2 - Open this file (using scilab)
// 3 - "Execute"->"Load into Scilab"
// 4 - on the Scilab console, type in the following commands:
//      nest(4,[-1, 5, -3, 3, 2], 1/2, [0,0,0,0,0])
//      nest(4,[-1, 5, -3, 3, 2], 1/2)

function nest_out=nest(d, c, x, b)
[LHS,RHS]=argn(0)
 if RHS<4 then
   b=zeros(d,1) 
 end
  y=c(d+1)
  for i=d:-1:1
    y=y.*(x-b(i))+c(i);
  end
  nest_out=y
endfunction

// once you have completed this, please do the following:
// 1 - Comment each line of code, and describe what it does
// 2 - update this code so that the 'd' variable is no longer required, 
//     and have scilab auto-determine what d should be given the size of 'c'
// 
// Please print / handwrite your solutions so that it may be turned in.