theme with variable image

Question

Please check this mwe.tex
documentclass[10pt,xcolor=dvipsnames,xcolor=table,handout]{beamer}
definecolor{dcol}{HTML}{034da1}
usetheme{Mwe}
title{mwe}
author{mwe}
institute{mwe}
begin{document}
maketitle
begin{frame}{Table of Contents}
    tableofcontents
end{frame}
section{Hello}
subsection{Hello}
begin{frame}{Hello Title}
    Hello text
    begin{itemize}
        item Hello
    end{itemize}
end{frame}
end{document}

and the corresponding beamerthemeMwe.sty:
mode<presentation>
usepackage[sfdefault]{roboto}
usecolortheme[named=dcol]{structure}
setbeamercolor*{palette primary}{use=structure,fg=white,bg=dcol}
setbeamercolor*{palette quaternary}{bg=dcol,fg=white}
setbeamercolor{normal text}{fg=dcol}

%%%%%%%%%%%%%%%%%%%%%
% FOOTLINE
%%%%%%%%%%%%%%%%%%%%%

defbeamertemplate*{footline}{mat theme}{%
    begin{beamercolorbox}[wd=paperwidth,ht=0.04paperheight,dp=2.25ex]{title in head/foot}%
        begin{minipage}[c]{0.25paperwidth}%
            hskip10ptinsertshortauthor%
        end{minipage}%
        begin{minipage}[c]{0.60paperwidth}%
            centering
            inserttitle%
        end{minipage}%
        begin{minipage}[t]{0.10paperwidth}%
            begin{flushright}
                ifnum insertpagenumber=1
                    includegraphics[width=.06pagewidth]{example-image-a}%hskip20pt
                else
                    insertframenumber{}hfillvfill%
                fi
            end{flushright}
        end{minipage}%
    end{beamercolorbox}%
    vfill%
}

AtBeginDocument{%
    pgfdeclareverticalshading{b@matshade}{thepaperwidth}
    {rgb(0pt)=(1,1,1); rgb(3pt)=(0.8,0.8,0.8);rgb(5pt)=(0.75,0.75,0.75)}
}

The problem is, I would like insert the image from preamble. At present, the logo is hard coded, as example-image-a:
  begin{flushright}
      ifnum insertpagenumber=1
         includegraphics[width=.06pagewidth]{example-image-a}%hskip20pt
       else
         insertframenumber{}hfillvfill%
      fi

I am trying to change it, with some option, so that I can change the image in preamble as
setlogo{example-image-b}

How I can do that?
I have asked this question before, in use variable image in setbeamertheme but the answer is not working, and I had got error (the exact output is not with me right now).

gernot · Answer

In your beamer style, define setlogo as follows.
newcommandsetlogo[1]{def@logo{#1}}

Moreover, change the part where you load the logo to the following code. If the logo hasn't been set, it will print the page number, otherwise the logo.
begin{minipage}[t]{0.10paperwidth}%
    begin{flushright}
        ifnum insertpagenumber=1
            ifcsname @logoendcsname
                includegraphics[width=.06paperwidth]{@logo}%
            else
                insertframenumber{}hfillvfill
            fi
        else
            insertframenumber{}hfillvfill
        fi
    end{flushright}
end{minipage}%

% main.tex
documentclass[10pt,xcolor=dvipsnames,xcolor=table,handout]{beamer}
definecolor{dcol}{HTML}{034da1}
usetheme{Mwe}
setlogo{example-image-a}
title{mwe}
author{mwe}
institute{mwe}
begin{document}
maketitle
begin{frame}{Table of Contents}
    tableofcontents
end{frame}
section{Hello}
subsection{Hello}
begin{frame}{Hello Title}
    Hello text
    begin{itemize}
        item Hello
    end{itemize}
end{frame}
end{document}

% beamerthemeMwe.sty
mode<presentation>
usepackage[sfdefault]{roboto}
usecolortheme[named=dcol]{structure}
setbeamercolor*{palette primary}{use=structure,fg=white,bg=dcol}
setbeamercolor*{palette quaternary}{bg=dcol,fg=white}
setbeamercolor{normal text}{fg=dcol}

newcommandsetlogo[1]{def@logo{#1}}
%%%%%%%%%%%%%%%%%%%%%
% FOOTLINE
%%%%%%%%%%%%%%%%%%%%%

defbeamertemplate*{footline}{mat theme}{%
    begin{beamercolorbox}[wd=paperwidth,ht=0.04paperheight,dp=2.25ex]{title in head/foot}%
        begin{minipage}[c]{0.25paperwidth}%
            hskip10ptinsertshortauthor%
        end{minipage}%
        begin{minipage}[c]{0.60paperwidth}%
            centering
            inserttitle%
        end{minipage}%
        begin{minipage}[t]{0.10paperwidth}%
            begin{flushright}
                ifnum insertpagenumber=1
                  ifcsname @logoendcsname
                    includegraphics[width=.06paperwidth]{@logo}%hskip20pt
                  else
                    insertframenumber{}hfillvfill
                  fi
                else
                    insertframenumber{}hfillvfill
                fi
            end{flushright}
        end{minipage}%
    end{beamercolorbox}%
    vfill%
}

AtBeginDocument{%
    pgfdeclareverticalshading{b@matshade}{thepaperwidth}
    {rgb(0pt)=(1,1,1); rgb(3pt)=(0.8,0.8,0.8);rgb(5pt)=(0.75,0.75,0.75)}
}

theme with variable image

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