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* [NTG-context] Luametatex: nesting alignments in display math formulas
@ 2024-11-10  1:36 ntg-contextmailingli.expedited080--- via ntg-context
  2024-11-10  8:20 ` [NTG-context] " Mikael Sundqvist
  0 siblings, 1 reply; 3+ messages in thread
From: ntg-contextmailingli.expedited080--- via ntg-context @ 2024-11-10  1:36 UTC (permalink / raw)
  To: mailing list for ConTeXt users; +Cc: ntg-contextmailingli.expedited080

I'm test driving luametatex. My needs usually extend to expressing formulas in TLA+ using nested display math formulas. Although I have suitable templates for doing this in Mark IV, I can't reproduce these satisfactorily in luametatex. For example, here's a formula from Leslie Lamport's 2006 "Lower Bounds for Asynchronous Consensus":

~~~~~~~~~~~ transitive_reduction.tex ~~~~~~~~~~~~~

\define\lbr {\lbrace \mkern 0.9mu}
\define\rbr {{}\mkern 0.9mu \rbrace}
\define\∀ {∀\mkern1mu}
\define\∃ {∃\mkern2mu}

\startdocument

\startplaceformula
\startformula [split=yes, align=flushleft, margin=standard, interlinespace=1ex]
\bgroup \setupinterlinespace [line=1ex]
\startalign [n=1, align={left,left}]

    \NC \text{\it TransitiveClosure}(R) ≜ 
    \NR

    \NC \quad
    \bgroup \setupinterlinespace [line=1ex]
    \startalign [n=2, align={left,left,left}, location=top]
    
        \NC \text{\sc let} \quad
        \NC \bgroup \setupinterlinespace [line=1ex]
        \startalign [n=1, align={left,left}, location=top]
        
            \NC \text{\it Dom} ≜ \lbr r[1]: r ∈ R \rbr
            \NR
        
            \NC \text{\it Rng} ≜ \lbr r[2]: r ∈ R \rbr
            \NR

            \NC \text{\it TC}[i ∈ ℕ] ≜ 
            \NR

            \NC \quad 
            \bgroup \setupinterlinespace [line=1ex]
            \startalign [n=1, align={left,left}, location=top]
            
                \NC \text{\sc if}\ i = 0\ 
                \bgroup \setupinterlinespace [line=1ex]
                \startalign [n=2, align={left,left,left}, location=top]
                
                    \NC \text{\sc then}\ 
                    \NC R
                    \NR
                
                    \NC \text{\sc else}\ 
                    \NC 
                    \bgroup \setupinterlinespace [line=1ex]
                    \startalign [n=1, align={left,left}, location=top]
                    
                        \NC \lbr
                            〈d, e 〉∈ \text{\it Dom} × \text{\it Rng}:
                        \NR
                    
                        \NC \quad \∃ c ∈ \text{\it Dom} ∩ \text{\it Rng}: 
                        \bgroup \setupinterlinespace [line=1ex]
                        \startalign [n=1, align={left,left}, location=top]
                        
                            \NC ∧ 〈d, c〉∈ \text{\it TC}[i-1]
                            \NR
                        
                            \NC ∧ 〈c, e〉∈ R \,\rbr
                            \NR
                        \stopalign \egroup
                        \NR
                    \stopalign \egroup
                    \NR
                \stopalign \egroup
                \NR
            \stopalign \egroup
            \NR
        \stopalign \egroup
        \NR
    
        \NC \text{\sc in}\ 
        \NC \text{\sc union}\ \lbr \text{\it TC}[i] : i ∈ ℕ \rbr
        \NR
    \stopalign \egroup
    \NR
\stopalign \egroup \stopformula \stopplaceformula

\stopdocument

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The command

    $ context --luatex transitive_reduction.tex

produces the desired result, but 

    $ context transitive_reduction.tex

rejects the alignments and centers the lines instead. Can anyone suggest how I might adapt such nesting of alignments to luametatex?

___________________________________________________________________________________
If your question is of interest to others as well, please add an entry to the Wiki!

maillist : ntg-context@ntg.nl / https://mailman.ntg.nl/mailman3/lists/ntg-context.ntg.nl
webpage  : https://www.pragma-ade.nl / https://context.aanhet.net (mirror)
archive  : https://github.com/contextgarden/context
wiki     : https://wiki.contextgarden.net
___________________________________________________________________________________

^ permalink raw reply	[flat|nested] 3+ messages in thread

* [NTG-context] Re: Luametatex: nesting alignments in display math formulas
  2024-11-10  1:36 [NTG-context] Luametatex: nesting alignments in display math formulas ntg-contextmailingli.expedited080--- via ntg-context
@ 2024-11-10  8:20 ` Mikael Sundqvist
  2024-11-10 15:24   ` ntg-contextmailingli.expedited080--- via ntg-context
  0 siblings, 1 reply; 3+ messages in thread
From: Mikael Sundqvist @ 2024-11-10  8:20 UTC (permalink / raw)
  To: mailing list for ConTeXt users

Hi,

On Sun, Nov 10, 2024 at 2:45 AM ntg-contextmailingli.expedited080---
via ntg-context <ntg-context@ntg.nl> wrote:
>
> I'm test driving luametatex. My needs usually extend to expressing formulas in TLA+ using nested display math formulas. Although I have suitable templates for doing this in Mark IV, I can't reproduce these satisfactorily in luametatex. For example, here's a formula from Leslie Lamport's 2006 "Lower Bounds for Asynchronous Consensus":
>
> ~~~~~~~~~~~ transitive_reduction.tex ~~~~~~~~~~~~~
>
> \define\lbr {\lbrace \mkern 0.9mu}
> \define\rbr {{}\mkern 0.9mu \rbrace}
> \define\∀ {∀\mkern1mu}
> \define\∃ {∃\mkern2mu}
>
> \startdocument
>
> \startplaceformula
> \startformula [split=yes, align=flushleft, margin=standard, interlinespace=1ex]
> \bgroup \setupinterlinespace [line=1ex]
> \startalign [n=1, align={left,left}]
>
>     \NC \text{\it TransitiveClosure}(R) ≜
>     \NR
>
>     \NC \quad
>     \bgroup \setupinterlinespace [line=1ex]
>     \startalign [n=2, align={left,left,left}, location=top]
>
>         \NC \text{\sc let} \quad
>         \NC \bgroup \setupinterlinespace [line=1ex]
>         \startalign [n=1, align={left,left}, location=top]
>
>             \NC \text{\it Dom} ≜ \lbr r[1]: r ∈ R \rbr
>             \NR
>
>             \NC \text{\it Rng} ≜ \lbr r[2]: r ∈ R \rbr
>             \NR
>
>             \NC \text{\it TC}[i ∈ ℕ] ≜
>             \NR
>
>             \NC \quad
>             \bgroup \setupinterlinespace [line=1ex]
>             \startalign [n=1, align={left,left}, location=top]
>
>                 \NC \text{\sc if}\ i = 0\
>                 \bgroup \setupinterlinespace [line=1ex]
>                 \startalign [n=2, align={left,left,left}, location=top]
>
>                     \NC \text{\sc then}\
>                     \NC R
>                     \NR
>
>                     \NC \text{\sc else}\
>                     \NC
>                     \bgroup \setupinterlinespace [line=1ex]
>                     \startalign [n=1, align={left,left}, location=top]
>
>                         \NC \lbr
>                             〈d, e 〉∈ \text{\it Dom} × \text{\it Rng}:
>                         \NR
>
>                         \NC \quad \∃ c ∈ \text{\it Dom} ∩ \text{\it Rng}:
>                         \bgroup \setupinterlinespace [line=1ex]
>                         \startalign [n=1, align={left,left}, location=top]
>
>                             \NC ∧ 〈d, c〉∈ \text{\it TC}[i-1]
>                             \NR
>
>                             \NC ∧ 〈c, e〉∈ R \,\rbr
>                             \NR
>                         \stopalign \egroup
>                         \NR
>                     \stopalign \egroup
>                     \NR
>                 \stopalign \egroup
>                 \NR
>             \stopalign \egroup
>             \NR
>         \stopalign \egroup
>         \NR
>
>         \NC \text{\sc in}\
>         \NC \text{\sc union}\ \lbr \text{\it TC}[i] : i ∈ ℕ \rbr
>         \NR
>     \stopalign \egroup
>     \NR
> \stopalign \egroup \stopformula \stopplaceformula
>
> \stopdocument
>
> ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
>
> The command
>
>     $ context --luatex transitive_reduction.tex
>
> produces the desired result, but
>
>     $ context transitive_reduction.tex
>
> rejects the alignments and centers the lines instead. Can anyone suggest how I might adapt such nesting of alignments to luametatex?
>

I must admit that I don't know what is the expected output and if I
did break any of the rules or missed what you want, but the following
could hopefully work as a start for you:

\define\lbr {\lbrace \mkern 0.9mu}
\define\rbr {{}\mkern 0.9mu \rbrace}
\define\∀ {∀\mkern1mu}
\define\∃ {∃\mkern2mu}

\definemathsimplealign
  [myalign]
  [align=left,
   location=top]

\definemathsimplealign
  [myouteralign]
  [align=left,
   location=center]

\definemathsimplealign
  [mydistancedalign]
  [align=left,
   distance=1em,
   leftmargin=1em]

\definemathsimplealign
  [mymarginedalign]
  [align=left,
   leftmargin=1em]

\startdocument

\startplaceformula
\startformula [align=flushleft]
\startmyouteralign
    \NC \mathtextit{TransitiveClosure}(R) ≜
    \NR

    \NC
    \startmydistancedalign
        \NC \mtext{\sc let}
        \NC
        \startmyalign
            \NC \mathtextit {Dom} ≜ \lbr r[1]: r ∈ R \rbr
            \NR
            \NC \mathtextit {Rng} ≜ \lbr r[2]: r ∈ R \rbr
            \NR
            \NC \mathtextit {TC\/}[i ∈ ℕ] ≜
            \NR
            \NC
            \startmymarginedalign
                \NC \text{\sc if } i = 0\
                \startmyalign
                    \NC \text{\sc then}\
                    \NC R
                    \NR

                    \NC \text{\sc else}\
                    \NC
                    \startmyalign
                        \NC \lbr
                            〈d, e 〉 ∈ \text{\it Dom} × \text{\it Rng}:
                        \NR

                        \NC \quad \∃ c ∈ \text{\it Dom} ∩ \text{\it Rng}:
                        \startmyalign

                            \NC ∧ 〈d, c〉 ∈ \mathtextit {TC\/}[i-1]
                            \NR

                            \NC ∧ 〈c, e〉 ∈ R \rbr
                            \NR
                        \stopmyalign
                        \NR
                    \stopmyalign
                    \NR
                \stopmyalign
                \NR
            \stopmymarginedalign
            \NR
        \stopmyalign
        \NR
        \NC \mtext{\sc in}
        \NC \mtext{\sc union } \lbr \mathtextit {TC\/}[i] : i ∈ ℕ \rbr
        \NR
    \stopmydistancedalign
    \NR
\stopmyouteralign
\stopformula \stopplaceformula

\stopdocument

/Mikael
___________________________________________________________________________________
If your question is of interest to others as well, please add an entry to the Wiki!

maillist : ntg-context@ntg.nl / https://mailman.ntg.nl/mailman3/lists/ntg-context.ntg.nl
webpage  : https://www.pragma-ade.nl / https://context.aanhet.net (mirror)
archive  : https://github.com/contextgarden/context
wiki     : https://wiki.contextgarden.net
___________________________________________________________________________________

^ permalink raw reply	[flat|nested] 3+ messages in thread

* [NTG-context] Re: Luametatex: nesting alignments in display math formulas
  2024-11-10  8:20 ` [NTG-context] " Mikael Sundqvist
@ 2024-11-10 15:24   ` ntg-contextmailingli.expedited080--- via ntg-context
  0 siblings, 0 replies; 3+ messages in thread
From: ntg-contextmailingli.expedited080--- via ntg-context @ 2024-11-10 15:24 UTC (permalink / raw)
  To: mailing list for ConTeXt users; +Cc: ntg-contextmailingli.expedited080

On Sunday, November 10th, 2024 at 08:20, Mikael Sundqvist <mickep@gmail.com> wrote:

The output for this is perfect, Mikael. Your edit has a few surprises for me. I'll study it today.

Clearly a slog for anyone to go through. I appreciate it very much. Thank you!

> ------------------------------
> Hi,
> 
> On Sun, Nov 10, 2024 at 2:45 AM ntg-contextmailingli.expedited080---
> via ntg-context ntg-context@ntg.nl wrote:
> 
> > I'm test driving luametatex. My needs usually extend to expressing formulas in TLA+ using nested display math formulas. Although I have suitable templates for doing this in Mark IV, I can't reproduce these satisfactorily in luametatex. For example, here's a formula from Leslie Lamport's 2006 "Lower Bounds for Asynchronous Consensus":
> > 
> > ~~~~~~~~~~~ transitive_reduction.tex ~~~~~~~~~~~~~
> > 
> > \define\lbr {\lbrace \mkern 0.9mu}
> > \define\rbr {{}\mkern 0.9mu \rbrace}
> > \define\∀ {∀\mkern1mu}
> > \define\∃ {∃\mkern2mu}
> > 
> > \startdocument
> > 
> > \startplaceformula
> > \startformula [split=yes, align=flushleft, margin=standard, interlinespace=1ex]
> > \bgroup \setupinterlinespace [line=1ex]
> > \startalign [n=1, align={left,left}]
> > 
> > \NC \text{\it TransitiveClosure}(R) ≜
> > \NR
> > 
> > \NC \quad
> > \bgroup \setupinterlinespace [line=1ex]
> > \startalign [n=2, align={left,left,left}, location=top]
> > 
> > \NC \text{\sc let} \quad
> > \NC \bgroup \setupinterlinespace [line=1ex]
> > \startalign [n=1, align={left,left}, location=top]
> > 
> > \NC \text{\it Dom} ≜ \lbr r[1]: r ∈ R \rbr
> > \NR
> > 
> > \NC \text{\it Rng} ≜ \lbr r[2]: r ∈ R \rbr
> > \NR
> > 
> > \NC \text{\it TC}[i ∈ ℕ] ≜
> > \NR
> > 
> > \NC \quad
> > \bgroup \setupinterlinespace [line=1ex]
> > \startalign [n=1, align={left,left}, location=top]
> > 
> > \NC \text{\sc if}\ i = 0\
> > \bgroup \setupinterlinespace [line=1ex]
> > \startalign [n=2, align={left,left,left}, location=top]
> > 
> > \NC \text{\sc then}\
> > \NC R
> > \NR
> > 
> > \NC \text{\sc else}\
> > \NC
> > \bgroup \setupinterlinespace [line=1ex]
> > \startalign [n=1, align={left,left}, location=top]
> > 
> > \NC \lbr
> > 〈d, e 〉∈ \text{\it Dom} × \text{\it Rng}:
> > \NR
> > 
> > \NC \quad \∃ c ∈ \text{\it Dom} ∩ \text{\it Rng}:
> > \bgroup \setupinterlinespace [line=1ex]
> > \startalign [n=1, align={left,left}, location=top]
> > 
> > \NC ∧ 〈d, c〉∈ \text{\it TC}[i-1]
> > \NR
> > 
> > \NC ∧ 〈c, e〉∈ R \,\rbr
> > \NR
> > \stopalign \egroup
> > \NR
> > \stopalign \egroup
> > \NR
> > \stopalign \egroup
> > \NR
> > \stopalign \egroup
> > \NR
> > \stopalign \egroup
> > \NR
> > 
> > \NC \text{\sc in}\
> > \NC \text{\sc union}\ \lbr \text{\it TC}[i] : i ∈ ℕ \rbr
> > \NR
> > \stopalign \egroup
> > \NR
> > \stopalign \egroup \stopformula \stopplaceformula
> > 
> > \stopdocument
> > 
> > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
> > 
> > The command
> > 
> > $ context --luatex transitive_reduction.tex
> > 
> > produces the desired result, but
> > 
> > $ context transitive_reduction.tex
> > 
> > rejects the alignments and centers the lines instead. Can anyone suggest how I might adapt such nesting of alignments to luametatex?
> 
> 
> I must admit that I don't know what is the expected output and if I
> did break any of the rules or missed what you want, but the following
> could hopefully work as a start for you:
> 
> \define\lbr {\lbrace \mkern 0.9mu}
> \define\rbr {{}\mkern 0.9mu \rbrace}
> \define\∀ {∀\mkern1mu}
> \define\∃ {∃\mkern2mu}
> 
> \definemathsimplealign
> [myalign]
> [align=left,
> location=top]
> 
> \definemathsimplealign
> [myouteralign]
> [align=left,
> location=center]
> 
> \definemathsimplealign
> [mydistancedalign]
> [align=left,
> distance=1em,
> leftmargin=1em]
> 
> \definemathsimplealign
> [mymarginedalign]
> [align=left,
> leftmargin=1em]
> 
> \startdocument
> 
> \startplaceformula
> \startformula [align=flushleft]
> \startmyouteralign
> \NC \mathtextit{TransitiveClosure}(R) ≜
> \NR
> 
> \NC
> \startmydistancedalign
> \NC \mtext{\sc let}
> \NC
> \startmyalign
> \NC \mathtextit {Dom} ≜ \lbr r[1]: r ∈ R \rbr
> \NR
> \NC \mathtextit {Rng} ≜ \lbr r[2]: r ∈ R \rbr
> \NR
> \NC \mathtextit {TC\/}[i ∈ ℕ] ≜
> \NR
> \NC
> \startmymarginedalign
> \NC \text{\sc if } i = 0\
> \startmyalign
> \NC \text{\sc then}\
> \NC R
> \NR
> 
> \NC \text{\sc else}\
> \NC
> \startmyalign
> \NC \lbr
> 〈d, e 〉 ∈ \text{\it Dom} × \text{\it Rng}:
> \NR
> 
> \NC \quad \∃ c ∈ \text{\it Dom} ∩ \text{\it Rng}:
> \startmyalign
> 
> \NC ∧ 〈d, c〉 ∈ \mathtextit {TC\/}[i-1]
> \NR
> 
> \NC ∧ 〈c, e〉 ∈ R \rbr
> \NR
> \stopmyalign
> \NR
> \stopmyalign
> \NR
> \stopmyalign
> \NR
> \stopmymarginedalign
> \NR
> \stopmyalign
> \NR
> \NC \mtext{\sc in}
> \NC \mtext{\sc union } \lbr \mathtextit {TC\/}[i] : i ∈ ℕ \rbr
> \NR
> \stopmydistancedalign
> \NR
> \stopmyouteralign
> \stopformula \stopplaceformula
> 
> \stopdocument
> 
> /Mikael
> ___________________________________________________________________________________
> If your question is of interest to others as well, please add an entry to the Wiki!
> 
> maillist : ntg-context@ntg.nl / https://mailman.ntg.nl/mailman3/lists/ntg-context.ntg.nl
> webpage : https://www.pragma-ade.nl / https://context.aanhet.net (mirror)
> archive : https://github.com/contextgarden/context
> wiki : https://wiki.contextgarden.net
> ___________________________________________________________________________________

___________________________________________________________________________________
If your question is of interest to others as well, please add an entry to the Wiki!

maillist : ntg-context@ntg.nl / https://mailman.ntg.nl/mailman3/lists/ntg-context.ntg.nl
webpage  : https://www.pragma-ade.nl / https://context.aanhet.net (mirror)
archive  : https://github.com/contextgarden/context
wiki     : https://wiki.contextgarden.net
___________________________________________________________________________________

^ permalink raw reply	[flat|nested] 3+ messages in thread

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2024-11-10  1:36 [NTG-context] Luametatex: nesting alignments in display math formulas ntg-contextmailingli.expedited080--- via ntg-context
2024-11-10  8:20 ` [NTG-context] " Mikael Sundqvist
2024-11-10 15:24   ` ntg-contextmailingli.expedited080--- via ntg-context

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