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// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
// Copyright (C) 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 f=%p_j_s(p,s)
// %p_j_s(p,s) computes p.^s for p polynomial matrix in special cases
//!
if s==[] then f=[],return,end
if or(imag(s)<>0)|or(int(s)<>s) then error(msprintf(_("%s: Wrong type for input argument #%d: An integer matrix expected.\n"),"%p_j_s",2)),end
[m,n]=size(p)
[ms,ns]=size(s)
if ms==1&ns==1 then
if s<0 then
if or(abs(coeff(p(:)))*ones(max(degree(p))+1,1)==0) then
error(27)
end
f=rlist(ones(p),p.^(-s),[])
else // this case is in fact hard coded
f=p.^s
end
elseif m==1&n==1 then // Element wise exponentiation p.^s with p "scalar"
kp=find(s>=0)
kn=find(s<0)
num=ones(s)
den=ones(s)
num(kp)=p.^s(kp)
p=1/p
num(kn)=p(2).^(-s(kn))
den(kn)=p(3).^(-s(kn))
f=rlist(num,den,[])
elseif ms==m&ns==n then // Element wise exponentiation
p=p(:);s=s(:);
kp=find(s>=0)
kn=find(s<0)
num=p
den=ones(s)
num(kp)=num(kp).^s(kp)
if or(abs(coeff(p(kn)))*ones(max(degree(p(kn)))+1,1)==0) then
error(27)
end
num(kn)=ones(p(kn))
den(kn)=p(kn).^(-s(kn))
f = rlist(matrix(num,n,m),matrix(den,n,m),[])
else
error(30)
end
endfunction
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