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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 [N,D]=lcmdiag(H,flag)
//returns N and diagonal D
//such that:
// flag='row' => H=D^(-1)*N and D(k,k)=lcm of kth row of H('den')
// flag='col' => H=N*D^(-1) and D(k,k)=lcm of kth col of H('den')
// default flag = 'col'
if (type(H)<>2 & type(H)<>16) then
error(msprintf(_("%s: Wrong type for argument #%d: Real Matrix of Polynomials expected.\n"), "lcmdiag", 1));
end
Num = H("num");
Den = H("den");
[m, n] = size(H);
D = []; N = [];
[lhs, rhs] = argn(0);
if rhs==1 then
flag = "col";
elseif type(flag)<>10 then
error(msprintf(_("%s: Wrong type for argument #%d: String expected.\n"), "lcmdiag", 2));
end
select flag
case "row"
for k = 1:m
[pgcd, fact] = lcm(Den(k, :)); //H(k,:)=(Num(k,:).*fact)/pgcd
D = diag([diag(D); pgcd]);
N = [N; Num(k, :).*fact];
end
case "col"
for k = 1:n
[pgcd, fact] = lcm(Den(:, k));
D = diag([diag(D); pgcd]);
N = [N, Num(:, k).*fact];
end
else
error(msprintf(_("%s: Wrong value for argument #%d: %s or %s expected.\n"), "lcmdiag", 2, "row", "col"));
end
endfunction
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