You are an expert in writing code in many different languages. Your goal is to perform code completion for the following code, keeping in mind the rest of the code and the file meta data.
    Metadata details:
    filename: float2LogLuv.m
    path of file: ./repos/HDR_Toolbox/source_code/Formats
    
    the code of the file until where you have to start completion: function imgLogLuv = float2LogLuv(img)
%
%       imgLogLuv=float2LogLuv(img)
%
%
%        Input:
%           -img: a HDR image in RGB
%
%        Output:
%           -imgLogLuv: the HDR image in the 32-bit LogLuv format
%
%     Copyright (C) 2011  Francesco Banterle
% 
%     This program is free software: you can redistribute it and/or modify
%     it under the terms of the GNU General Public License as published by
%     the Free Software Foundation, either version 3 of the License, or
%     (at your option) any later version.
% 

    
function imgLogLuv = float2LogLuv(img)
%
%       imgLogLuv=float2LogLuv(img)
%
%
%        Input:
%           -img: a HDR image in RGB
%
%        Output:
%           -imgLogLuv: the HDR image in the 32-bit LogLuv format
%
%     Copyright (C) 2011  Francesco Banterle
% 
%     This program is free software: you can redistribute it and/or modify
%     it under the terms of the GNU General Public License as published by
%     the Free Software Foundation, either version 3 of the License, or
%     (at your option) any later version.
% 
%     This program is distributed in the hope that it will be useful,
%     but WITHOUT ANY WARRANTY; without even the implied warranty of
%     MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
%     GNU General Public License for more details.
% 
%     You should have received a copy of the GNU General Public License
%     along with this program.  If not, see <http://www.gnu.org/licenses/>.
%

%is it a three color channels image?
check3Color(img);

%Conversion from RGB to XYZ
imgXYZ = ConvertRGBtoXYZ(img, 0);

imgLogLuv = zeros(size(img));

%Encoding luminance Y
Le = floor(256*(log2(imgXYZ(:,:,2))+64));
imgLogLuv(:,:,1) = ClampImg(Le,0,65535);

%CIE (u,v) chromaticity values
norm = (imgXYZ(:,:,1)+imgXYZ(:,:,2)+imgXYZ(:,:,3));
x = imgXYZ(:,:,1)./ norm;
y = imgXYZ(:,:,2)./ norm;

%Encoding chromaticity
norm_uv = (-2*x+12*y+3);
u_prime = 4*x./norm_uv;
v_prime = 9*y./norm_uv;

Ue = floor(410*u_prime);
imgLogLuv(:,:,2) = ClampImg(Ue,0,255);

Ve = floor(410*v_prime);
imgLogLuv(:,:,3) = ClampImg(Ve,0,255);

end