Biblatex: Two bibliographies with different styles and sortings II

Question

The answer of moewe to the question Biblatex: Two bibliographies with different styles and sortings is almost what I want to achieve. Because of the large number of entries in my document, I would prefer to use the style numeric-comp instead of just numeric. How can I get this?
Extended MWE:

\documentclass{article}

\usepackage{filecontents}

\begin{filecontents}{biblatextest1.bib}
@BOOK{BookA03,
  author    = {Author Aaa},
  title     = {Some Title},
  publisher = {Some Publisher},
  year      = 2003,
}
@BOOK{BookB02,
  author    = {Author Bbb},
  title     = {Some Title},
  publisher = {Some Publisher},
  year      = 2002,
}
@BOOK{BookB09,
    author    = {Author Jjj},
    title     = {Some Title},
    publisher = {Some Publisher},
    year      = 2002,
}
@BOOK{BookB10,
    author    = {Author Kkk},
    title     = {Some Title},
    publisher = {Some Publisher},
    year      = 2002,
}
@BOOK{BookB11,
    author    = {Author Lll},
    title     = {Some Title},
    publisher = {Some Publisher},
    year      = 2002,
}
\end{filecontents}

\begin{filecontents}{biblatextest2.bib}
@MISC{LinkC04,
  author  = {Author Ccc},  
  title   = {Some Title},
  year    = 2004,
  url     = {www.test1.com/bild.jpg},
}
@MISC{LinkD01,
  author  = {Author Ddd},
  title   = {Some Title},
  year    = 2001,
  url     = {www.test2.com/bild.jpg},
}
@MISC{LinkD05,
    author  = {Author Eee},  
    title   = {Some Title},
    year    = 2004,
    url     = {www.test3.com/bild.jpg},
}
@MISC{LinkD06,
    author  = {Author Fff},
    title   = {Some Title},
    year    = 2001,
    url     = {www.test4.com/bild.jpg},
}
@MISC{LinkD07,
    author  = {Author Ggg},  
    title   = {Some Title},
    year    = 2004,
    url     = {www.test5.com/bild.jpg},
}
@MISC{LinkD08,
    author  = {Author Hhh},
    title   = {Some Title},
    year    = 2001,
    url     = {www.test6.com/bild.jpg},
}
\end{filecontents}

\usepackage[style = alphabetic, labelnumber, defernumbers = true,  backend = biber]{biblatex}
\addbibresource{biblatextest1.bib}
\addbibresource{biblatextest2.bib}

\usepackage{hyperref}

%Append keywords to identify different bibliography entries.
\DeclareSourcemap{
    \maps[datatype=bibtex, overwrite]{
        \map{
            \perdatasource{biblatextest1.bib}
            \step[fieldset=KEYWORDS, fieldvalue=primary, append]
        }
        \map{
            \perdatasource{biblatextest2.bib}
            \step[fieldset=KEYWORDS, fieldvalue=secondary, append]
        }
    }
}

\DeclareFieldFormat{labelnumberwidth}{\mkbibbrackets{#1}}
\renewbibmacro*{cite}{%
    \printtext[bibhyperref]{%
        \printfield{labelprefix}%
        \ifkeyword{secondary}
        {\printfield{labelnumber}}
        {\printfield{labelalpha}%
            \printfield{extraalpha}}}}


\defbibenvironment{bibliographyNUM}
{\list
    {\printtext[labelnumberwidth]{%
            \printfield{prefixnumber}%
            \printfield{labelnumber}}}
    {\setlength{\labelwidth}{\labelnumberwidth}%
        \setlength{\leftmargin}{\labelwidth}%
        \setlength{\labelsep}{\biblabelsep}%
        \addtolength{\leftmargin}{\labelsep}%
        \setlength{\itemsep}{\bibitemsep}%
        \setlength{\parsep}{\bibparsep}}%
    \renewcommand*{\makelabel}[1]{\hss##1}}
{\endlist}
{\item}

\assignrefcontextkeyws[sorting=none]{secondary}
\begin{document}

    The first two citations \cite{LinkD07,LinkC04} and \cite{BookB10,BookB11,BookB02,BookB09}. 
    The others are \cite{LinkD08,LinkD01,LinkD05,LinkD06} and \cite{BookA03}.

    \printbibliography[title=Bibliography, keyword=primary]

    \newrefcontext[sorting=none]
    \printbibliography[env=bibliographyNUM,title=References, keyword=secondary, resetnumbers]
\end{document}

Thank you for your help in advance.

Answer 1

I think I managed to get somewhere based on the numeric-comp and than trying to bring labelalpha information to the shorthand field, which is dealt with natively by the numeric-comp, so you don't need to redefine the cite macros/commands.

I initially tried to do this in the source map, but somehow it didn't work, so I ended up using \AtEveryCitekey for that.

You will probably still have to tune sorting. And you will also notice that the mixed citation of primary and secondary references is less than ideal (I couldn't find out what was determining the sortcite in this case). But the overall result looks reasonable.

\documentclass{article}

\usepackage{filecontents}

\begin{filecontents}{biblatextest1.bib}
@BOOK{BookA03,
  author    = {Author Aaa},
  title     = {Some Title},
  publisher = {Some Publisher},
  year      = 2003,
}
@BOOK{BookB02,
  author    = {Author Bbb},
  title     = {Some Title},
  publisher = {Some Publisher},
  year      = 2002,
}
@BOOK{BookB09,
    author    = {Author Jjj},
    title     = {Some Title},
    publisher = {Some Publisher},
    year      = 2002,
}
@BOOK{BookB10,
    author    = {Author Kkk},
    title     = {Some Title},
    publisher = {Some Publisher},
    year      = 2002,
}
@BOOK{BookB11,
    author    = {Author Lll},
    title     = {Some Title},
    publisher = {Some Publisher},
    year      = 2002,
}
\end{filecontents}

\begin{filecontents}{biblatextest2.bib}
@MISC{LinkC04,
  author  = {Author Ccc},  
  title   = {Some Title},
  year    = 2004,
  url     = {www.test1.com/bild.jpg},
}
@MISC{LinkD01,
  author  = {Author Ddd},
  title   = {Some Title},
  year    = 2001,
  url     = {www.test2.com/bild.jpg},
}
@MISC{LinkD05,
    author  = {Author Eee},  
    title   = {Some Title},
    year    = 2004,
    url     = {www.test3.com/bild.jpg},
}
@MISC{LinkD06,
    author  = {Author Fff},
    title   = {Some Title},
    year    = 2001,
    url     = {www.test4.com/bild.jpg},
}
@MISC{LinkD07,
    author  = {Author Ggg},  
    title   = {Some Title},
    year    = 2004,
    url     = {www.test5.com/bild.jpg},
}
@MISC{LinkD08,
    author  = {Author Hhh},
    title   = {Some Title},
    year    = 2001,
    url     = {www.test6.com/bild.jpg},
}
\end{filecontents}

\usepackage[style = numeric-comp, labelalpha, defernumbers]{biblatex}
\addbibresource{biblatextest1.bib}
\addbibresource{biblatextest2.bib}

\usepackage{hyperref}

%Append keywords to identify different bibliography entries.
\DeclareSourcemap{
    \maps[datatype=bibtex, overwrite]{
        \map{
            \perdatasource{biblatextest1.bib}
            \step[fieldset=KEYWORDS, fieldvalue=primary]
        }
        \map{
            \perdatasource{biblatextest2.bib}
            \step[fieldset=KEYWORDS, fieldvalue=secondary]
        }
    }
}

\makeatletter
\newcommand*{\labelalphatoshorthand}{\csdef{abx@field@shorthand}{\strfield{labelprefix}\strfield{labelalpha}\strfield{extraalpha}}}
\makeatother

\AtEveryCitekey{\ifkeyword{primary}{\labelalphatoshorthand}{}}

\DeclareFieldFormat{labelalphawidth}{\mkbibbrackets{#1}}

\defbibenvironment{bibliographyALPHA}
  {\list
     {\printtext[labelalphawidth]{%
        \printfield{labelprefix}%
        \printfield{labelalpha}%
        \printfield{extraalpha}}}
     {\setlength{\labelwidth}{\labelalphawidth}%
      \setlength{\leftmargin}{\labelwidth}%
      \setlength{\labelsep}{\biblabelsep}%
      \addtolength{\leftmargin}{\labelsep}%
      \setlength{\itemsep}{\bibitemsep}%
      \setlength{\parsep}{\bibparsep}}%
      \renewcommand*{\makelabel}[1]{##1\hss}}
  {\endlist}
  {\item}

\begin{document}

The first two citations \cite{LinkD07,LinkC04} and
\cite{BookB10,BookB11,BookB02,BookB09}.

Mixing both primary and secondary
\cite{LinkD08,LinkD01,LinkD05,LinkD06,BookB10,BookB11,BookB02,BookB09}.

The others are \cite{LinkD08,LinkD01,LinkD05,LinkD06,LinkD07}
and \cite{BookA03}.

\printbibliography[env=bibliographyALPHA, title=Bibliography, keyword=primary]

\newrefcontext
\printbibliography[title=References, keyword=secondary, resetnumbers]

\end{document}

Off-topic: notice I removed your append instructions from your DeclareSourcemap steps. The idea of appending is a good one. But suppose you have one field with a keyword mykeyword and append primary to it. You will get mykeywordprimary, which is neither mykeyword nor primary, and your keyword based mechanism for separating the bibliographies will fail (actually you will have missing bibliography entries). So to do that, you would have to include a comma between the keywords and handle the case of the field being empty or not, and so on.