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authorShashank2017-05-29 12:40:26 +0530
committerShashank2017-05-29 12:40:26 +0530
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+// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+// Copyright (C) ????-2008 - INRIA
+//
+// 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_V2.1-en.txt
+
+function [p] = derivat(p)
+ //pd=derivat(p) computes the derivative of the polynomial or rational
+ //function marix relative to the dummy variable
+ //
+
+ select typeof(p)
+
+ case "constant" then
+ p = 0*p; // includes case p == []
+
+ case "polynomial" then
+ var = varn(p); // dummy variable
+ [m,n]=size(p);
+ deg = degree(p);
+ degmax = max(deg);
+
+ if (degmax < n*m)
+ x = poly(0, var);
+ pd = zeros(p) * x;
+ for i = 1:degmax
+ pd = pd + coeff(p,i) * i * x^(i-1);
+ end
+ p = pd;
+ else
+ for i=1:m
+ for j=1:n
+ pij=p(i,j);
+ nij=deg(i,j);
+ if (nij==0) then
+ p(i,j)=0;
+ else
+ pij=coeff(pij).*(0:nij);
+ p(i,j)=poly(pij(2:nij+1),var,"c");
+ end
+ end
+ end
+ end
+
+ case "rational" then
+ num = p.num;
+ den = p.den;
+
+ num = derivat(num) .* den - num .* derivat(den);
+ den = den.^2;
+
+ p.num = num;
+ p.den = den;
+
+ else
+ error(msprintf(gettext("%s: Wrong type for input argument #%d: A floating point number or polynomial or rational fraction array expected.\n"),"derivat",1))
+
+ end
+
+endfunction