File: factor.sci

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// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
// Copyright (C) INRIA - Farid BELAHCENE
//
// 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-en.txt

function y=factor(x)

// FACTOR function
// Given a real x , this function returns a vector whose the components are the primes factors of the x decompositon.
// Particular cases:
// if x=0, then returns 0
// if x=1, then return 1
// Inputs :
//  x : a real scalar (positive)
// output :
// y : a vector of primes numbers

if prod(size(x,"*"))<>1 then
	error(msprintf(gettext("%s: Wrong size for input argument #%d: An integer expected.\n"),"factor",1));

elseif(type(x)<>1) then
	error(msprintf(gettext("%s: Wrong type for input argument #%d: An integer expected.\n"),"factor",1));
	
elseif x<0 | x-floor(x)<>0
	error(msprintf(gettext("%s: Wrong value for input argument #%d: Scalar positive integer expected.\n"),"factor",1));

elseif or(x==[0 1 2 3])
	y=x
else
	xprimefact = primes(sqrt(x))
	y = []
	while x > 1
		xdiv = x ./ xprimefact
		xprimefact_ind = find(xdiv-floor(xdiv)==0)
		if xprimefact_ind <> []
			xprimefact = xprimefact(xprimefact_ind)
			y = [xprimefact y]
			x = x/prod(xprimefact)
		else
			y=[x y]
			break
		end
	end
end
y = gsort(y,'c','i')

endfunction