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author | Shashank | 2017-05-29 12:40:26 +0530 |
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committer | Shashank | 2017-05-29 12:40:26 +0530 |
commit | 0345245e860375a32c9a437c4a9d9cae807134e9 (patch) | |
tree | ad51ecbfa7bcd3cc5f09834f1bb8c08feaa526a4 /modules/polynomials/macros/derivat.sci | |
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CMSCOPE changed
Diffstat (limited to 'modules/polynomials/macros/derivat.sci')
-rwxr-xr-x | modules/polynomials/macros/derivat.sci | 63 |
1 files changed, 63 insertions, 0 deletions
diff --git a/modules/polynomials/macros/derivat.sci b/modules/polynomials/macros/derivat.sci new file mode 100755 index 000000000..56ca58a66 --- /dev/null +++ b/modules/polynomials/macros/derivat.sci @@ -0,0 +1,63 @@ +// 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 |