Fwd: Continued fractions in ConTeXt

Fwd: Continued fractions in ConTeXt

[Jairo A. del Rio]

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Hi list! I've tried adapting the following code for continued fractions:

%https://tex.stackexchange.com/questions/73195/how-to-typeset-a-continued-fraction-in-the-following-format
\documentclass{article}\usepackage{amsmath}
\begin{document}\newcommand*{\cofrac}[2]{%
  {%
    \rlap{$\dfrac{1}{\phantom{#1}}$}%
    \genfrac{}{}{0pt}{0}{}{#1+#2}%
  }%}\[
  a_0 +
  \cofrac{a_1}{
    \cofrac{a_2}{
      \cofrac{a_3}{
        \genfrac{}{}{0pt}{0}{}{\ddots}
  }}}\]\end{document}

As I could read from the mailing list, ConTeXt no longer supports
\genfrac, so I've tried

the following using \definemathfraction

\definemathfraction[gefrac][cfrac]
\setupmathfraction[gefrac][rule=no]
\def\cofrac#1#2{%
  {%
    \rlap{\cfrac{1}{\displaystyle\phantom{#1}}}%
    \gefrac{}{\displaystyle\gefrac{#1+}{}#2}%
  }%
}
\def\cofracnorule#1#2{%
	{%
		\rlap{\gefrac{\displaystyle\phantom{1}}{\displaystyle\phantom{#1}}}%
		\gefrac{}{\displaystyle\gefrac{#1}{}#2}%
	}%
}
\def\endfrac#1{\cofracnorule{#1}{\phantom{1}}}
\startTEXpage
\startplacefigure[location=force,number=no]
\externalfigure[cofrac.png]
\stopplacefigure
\startformula
\alpha +
\cofrac{\alpha'}{\cofrac{\alpha''}{\cofrac{\alpha'''}{{\endfrac{\ddots}}}}}
\frac{1}{\alpha'''}
\stopformula
\stopTEXpage

Mmm, superscripts and fraction rules superpose, so indeed something is
wrong. Any ideas or references to a better result?

I've attached the expected result (it's from Legendre's Théorie des
nombres) and a normal fraction for comparison.

Thank you very much.

Jairo :)

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Re: Fwd: Continued fractions in ConTeXt

[Hans Hagen]

On 6/28/2020 6:06 PM, Jairo A. del Rio wrote:
> |Hi list! I've tried adapting the following code for continued fractions:|
> ||
> 
> |%https://tex.stackexchange.com/questions/73195/how-to-typeset-a-continued-fraction-in-the-following-format
> \documentclass{article}\usepackage{amsmath}\begin{document}\newcommand*{\cofrac}[2]{%{%\rlap{$\dfrac{1}{\phantom{#1}}$}%\genfrac{}{}{0pt}{0}{}{#1+#2}%}%}\[a_0 
> + 
> \cofrac{a_1}{\cofrac{a_2}{\cofrac{a_3}{\genfrac{}{}{0pt}{0}{}{\ddots}}}}\]\end{document}
> 
> |
> 
> |As I could read from the mailing list, ConTeXt no longer supports 
> \genfrac, so I've tried
> |
> 
> |the following using \definemathfraction
> 
> \definemathfraction[gefrac][cfrac]
> \setupmathfraction[gefrac][rule=no]
> \def\cofrac#1#2{%
>    {%
>      \rlap{\cfrac{1}{\displaystyle\phantom{#1}}}%
>      \gefrac{}{\displaystyle\gefrac{#1+}{}#2}%
>    }%
> }
> \def\cofracnorule#1#2{%
> {%
> \rlap{\gefrac{\displaystyle\phantom{1}}{\displaystyle\phantom{#1}}}%
> \gefrac{}{\displaystyle\gefrac{#1}{}#2}%
> }%
> }
> \def\endfrac#1{\cofracnorule{#1}{\phantom{1}}}
> \startTEXpage
> \startplacefigure[location=force,number=no]
> \externalfigure[cofrac.png]
> \stopplacefigure
> \startformula
> \alpha +
> \cofrac{\alpha'}{\cofrac{\alpha''}{\cofrac{\alpha'''}{{\endfrac{\ddots}}}}} 
> \frac{1}{\alpha'''}
> \stopformula
> \stopTEXpage
> 
> |
> 
> |Mmm, superscripts and fraction rules superpose, so indeed something is 
> wrong. Any ideas or references to a better result?
> |
In the next version this will look okay:

\definemathfraction
   [gefrac]
   [d:frac]

\setupmathfraction
   [gefrac]
   [mathstyle=display,
    alternative=inner,
    rule=hidden]

\unexpanded\def\cofrac#1#2{%
     \rlap{\cfrac{1}{\phantom{#1}}}%
     \gefrac{}{\gefrac{#1+}{}#2}%
}

\unexpanded\def\endfrac#1{%
     \rlap{\phantom{\cfrac{1}{#1}}}%
     \gefrac{}{#1}%
}

\starttext

\startTEXpage
\startformula \showmakeup[kern]
         \alpha
         +
         \cofrac {\alpha'}
             {\cofrac {\alpha''}
                 {\cofrac {\alpha'''}
                     {\endfrac {\ddots}}}}
         +
         \frac{1}{\alpha'''}
     \stopformula
\stopTEXpage

\stoptext


-----------------------------------------------------------------
                                           Hans Hagen | PRAGMA ADE
               Ridderstraat 27 | 8061 GH Hasselt | The Netherlands
        tel: 038 477 53 69 | www.pragma-ade.nl | www.pragma-pod.nl
-----------------------------------------------------------------
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___________________________________________________________________________________

Re: Fwd: Continued fractions in ConTeXt

[Jairo A. del Rio]

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I've just tested it and it looks w a y better than before (thanks!). Btw,
where could I read about key-value pairs for ConTeXt fractions
(\definemathfraction)? I've seen keys like "threshold" and other weird ones
in the command list, so I ask about a reference (maybe somewhere in a
manual; the Garden doesn't say a lot about it). Thank you very much.

Sincerely,

Jairo :)

El lun., 29 de jun. de 2020 a la(s) 09:51, Hans Hagen (j.hagen@xs4all.nl)
escribió:

> On 6/28/2020 6:06 PM, Jairo A. del Rio wrote:
> > |Hi list! I've tried adapting the following code for continued
> fractions:|
> > ||
> >
> > |%
> https://tex.stackexchange.com/questions/73195/how-to-typeset-a-continued-fraction-in-the-following-format
> >
> \documentclass{article}\usepackage{amsmath}\begin{document}\newcommand*{\cofrac}[2]{%{%\rlap{$\dfrac{1}{\phantom{#1}}$}%\genfrac{}{}{0pt}{0}{}{#1+#2}%}%}\[a_0
>
> > +
> >
> \cofrac{a_1}{\cofrac{a_2}{\cofrac{a_3}{\genfrac{}{}{0pt}{0}{}{\ddots}}}}\]\end{document}
> >
> > |
> >
> > |As I could read from the mailing list, ConTeXt no longer supports
> > \genfrac, so I've tried
> > |
> >
> > |the following using \definemathfraction
> >
> > \definemathfraction[gefrac][cfrac]
> > \setupmathfraction[gefrac][rule=no]
> > \def\cofrac#1#2{%
> >    {%
> >      \rlap{\cfrac{1}{\displaystyle\phantom{#1}}}%
> >      \gefrac{}{\displaystyle\gefrac{#1+}{}#2}%
> >    }%
> > }
> > \def\cofracnorule#1#2{%
> > {%
> > \rlap{\gefrac{\displaystyle\phantom{1}}{\displaystyle\phantom{#1}}}%
> > \gefrac{}{\displaystyle\gefrac{#1}{}#2}%
> > }%
> > }
> > \def\endfrac#1{\cofracnorule{#1}{\phantom{1}}}
> > \startTEXpage
> > \startplacefigure[location=force,number=no]
> > \externalfigure[cofrac.png]
> > \stopplacefigure
> > \startformula
> > \alpha +
> >
> \cofrac{\alpha'}{\cofrac{\alpha''}{\cofrac{\alpha'''}{{\endfrac{\ddots}}}}}
> > \frac{1}{\alpha'''}
> > \stopformula
> > \stopTEXpage
> >
> > |
> >
> > |Mmm, superscripts and fraction rules superpose, so indeed something is
> > wrong. Any ideas or references to a better result?
> > |
> In the next version this will look okay:
>
> \definemathfraction
>    [gefrac]
>    [d:frac]
>
> \setupmathfraction
>    [gefrac]
>    [mathstyle=display,
>     alternative=inner,
>     rule=hidden]
>
> \unexpanded\def\cofrac#1#2{%
>      \rlap{\cfrac{1}{\phantom{#1}}}%
>      \gefrac{}{\gefrac{#1+}{}#2}%
> }
>
> \unexpanded\def\endfrac#1{%
>      \rlap{\phantom{\cfrac{1}{#1}}}%
>      \gefrac{}{#1}%
> }
>
> \starttext
>
> \startTEXpage
> \startformula \showmakeup[kern]
>          \alpha
>          +
>          \cofrac {\alpha'}
>              {\cofrac {\alpha''}
>                  {\cofrac {\alpha'''}
>                      {\endfrac {\ddots}}}}
>          +
>          \frac{1}{\alpha'''}
>      \stopformula
> \stopTEXpage
>
> \stoptext
>
>
> -----------------------------------------------------------------
>                                            Hans Hagen | PRAGMA ADE
>                Ridderstraat 27 | 8061 GH Hasselt | The Netherlands
>         tel: 038 477 53 69 | www.pragma-ade.nl | www.pragma-pod.nl
> -----------------------------------------------------------------
>

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___________________________________________________________________________________

Re: Fwd: Continued fractions in ConTeXt

[Hans Hagen]

On 6/30/2020 2:27 AM, Jairo A. del Rio wrote:
> I've just tested it and it looks w a y better than before (thanks!). 
> Btw, where could I read about key-value pairs for ConTeXt fractions 
> (\definemathfraction)? I've seen keys like "threshold" and other weird 
> ones in the command list, so I ask about a reference (maybe somewhere in 
> a manual; the Garden doesn't say a lot about it). Thank you very much.
There is a manual about math but it's not complete (of course, otherwise 
there's nothing to complain and we have to protect our reputation of not 
having manuals). But ... contributions (examples etc, as I can blabla 
the rest) are welcome.

Hans

-----------------------------------------------------------------
                                           Hans Hagen | PRAGMA ADE
               Ridderstraat 27 | 8061 GH Hasselt | The Netherlands
        tel: 038 477 53 69 | www.pragma-ade.nl | www.pragma-pod.nl
-----------------------------------------------------------------
___________________________________________________________________________________
If your question is of interest to others as well, please add an entry to the Wiki!

maillist : ntg-context@ntg.nl / http://www.ntg.nl/mailman/listinfo/ntg-context
webpage  : http://www.pragma-ade.nl / http://context.aanhet.net
archive  : https://bitbucket.org/phg/context-mirror/commits/
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___________________________________________________________________________________

Re: Fwd: Continued fractions in ConTeXt

[Jairo A. del Rio]

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> There is a manual about math but it's not complete
>

If you mean math-mkiv, it doesn't shed lights about fractions. I'm seeing
it's more illustrating about subjects as integrals and other stuff, tho.
Reading the mailing list, I realized there's a simplecommand key for
matrices, among other nice things which maybe should be... if not
documented, at least mentioned.


> we have to protect our reputation of not
> having manuals


lmao

But ... contributions (examples etc, as I can blabla
> the rest) are welcome.
>

I'll take note of that. Thank you very much, Hans.

Jairo :)

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___________________________________________________________________________________