How can I add the value of `a, b, c, m, n, p` into this tabularray? - TeX

Skillmon replying to Anonymous 8965

Even though I came across another question which would profit from it (on TeX.SX), I can't find the time to implement something like this currently, I'm sorry. And I'd like to first take a look at some other implementations (obviously in other languages), to see which would be good approaches on the underlying data structures. After some time thinking about this, I guess that having a (very stripped down) minimal CAS in TeX written in TeX will count in the years range as well...

Anonymous 8965 replying to Skillmon

How about your plan?

निरंजन replying to Skillmon

:O

Skillmon replying to निरंजन

no, those won't happen, I'm afraid, at least not within the next month, that counts in years, and I don't even have a PoC yet. I meant to write a symbolic parser that can turn input like `\symornum[a=1,b=2,c=3]{abcx+(ab+c)x^2+axb}` into `6x+5x^2+2x` automatically (and maybe a few other niceties).

निरंजन replying to Skillmon

Your implementation of LaTeX tables, right? Can't wait to see them :)

Laurenso replying to Skillmon

Maybe I give up the idea of using`tabularray`.

Skillmon

So all the niceties and flexibility of `tblr` comes at a cost... And I'm not well versed enough with `tabularray` to know any better option.

Skillmon replying to Laurenso

Is it even worth? I think if you just change your input scheme (like in the answers on SX) you'll have an easier life in the long run. And I'd require a change in input scheme as well. The issue is that in `tblr` you need to have the final columns and lines already placed (so nothing can expand to more than a single cell's contents). That way I can't really inject code that evaluates the numeric stuff and expands to two cells with the `-` aligned correctly. And just expanding everything might break other stuff...

Laurenso replying to Skillmon

Yes. I'll wait for you. There are some updates at [here](https://tex.stackexchange.com/questions/219621/how-can-i-make-a-scheme-to-multiply-polynomials/689360?noredirect=1#comment1710684_689360)

Skillmon

Or you wait like a month or so and hope that I finished my latest idea until then (and didn't give up on it in the meantime)...

Skillmon

Also: If that's an option you can use one of the CAS-packages (though they need either LuaTeX or shell-escape, and I can't recall their names)

Skillmon

If using a more simple construct like `tabular` would be an option, you could use the above with just a small change.

Skillmon replying to Laurenso

And the other rabbit is here: Unfortunately, one can't input a `&` by code after `tblr` did start :( I just tried some code which could solve this, but it doesn't work...

Laurenso replying to AnonymousRabbit

I understand. Thanks.

AnonymousRabbit replying to Laurenso

you entered the `+` as part of another column.... Backtracking to the last column is not possible while executing code. The other rabbit can build something, I'm sure of that, but I don't think it's worth the hassle...

Laurenso replying to Skillmon

I see here https://tex.stackexchange.com/questions/219621/how-can-i-make-a-scheme-to-multiply-polynomials

Laurenso replying to Skillmon

Wonderfull. Thank you very much. `a = 2, b=3, c=4, m=5, n=6, p=9` in better than `a = 1; b=1; c=-1; m=2; n=-7; p=9 in to this tabularray by using declare function={a = 1; b=1; c=-1; m=2; n=-7; p=9;` The sign minus make table not perfect.

Skillmon replying to Laurenso

let's say, yes, but not easy... Maybe with a regular expression (but [now you got two problems](https://softwareengineering.stackexchange.com/questions/223634/what-is-meant-by-now-you-have-two-problems))... The following isn't perfect (and I doubt you can make it perfect, regular expressions are evil):  
  
```  
\documentclass[border=3.14mm,preview]{standalone}
\usepackage{tabularray}
\usepackage{ninecolors}
\usepackage{caption}
\usepackage{float}
\usepackage{tikz}
\usetikzlibrary{calc}
\UseTblrLibrary{amsmath,
	booktabs,
	counter,
	diagbox,
	siunitx,
	varwidth}

\ExplSyntaxOn
\tl_new:N \l__usermmcccxcviii_tablebody_tl
\tl_new:N \l__usermmcccxcviii_replaced_tl
\NewDocumentCommand \setuptablebody { m }
  { \tl_set:Nn \l__usermmcccxcviii_tablebody_tl {#1} }
\NewDocumentCommand \usetable { s O{} m }
  {
    \group_begin:
      \IfBooleanTF {#1}
        {
          \__usermmcccxcviii_regex_magic:n {#2}
          \keyval_parse:NNn
            \__usermmcccxcviii_err:n
            \__usermmcccxcviii_replace_p:nn
            {#2}
        }
        {
          \keyval_parse:NNn
            \__usermmcccxcviii_err:n
            \__usermmcccxcviii_replace:nn
            {#2}
        }
      \use:e
        {
          \exp_not:n { \begin{tblr}{#3} }
          \exp_not:o { \l__usermmcccxcviii_tablebody_tl }
        }
      \end{tblr}
    \group_end:
  }
\cs_new_protected:Npn \__usermmcccxcviii_regex_magic:n #1
  {
    \tl_if_empty:nF {#1}
      {
        % keyval_parse:NNn needs one full expansion, then another for the
        % \use_none:n and \use_ii:nn to be expanded
        \exp_args:NNe \exp_args:Ne \__usermmcccxcviii_regex_magic_aux:n
          { \keyval_parse:NNn \use_none:n \use_i:nn {#1} }
      }
  }
\cs_new_protected:Npn \__usermmcccxcviii_regex_magic_aux:n #1
  {
    \regex_replace_all:nnN
      { ([#1]|\(?(?:[#1]\s*[\+\-\*\/]\s*)+[#1]\)?)\s*(\*?x|\c{\\}) }
      { \c{__usermmcccxcviii_eval:w} \1 \c{__usermmcccxcviii_eval_end:} \2 }
      \l__usermmcccxcviii_tablebody_tl
  }
\cs_new:Npn \__usermmcccxcviii_eval:w #1 \__usermmcccxcviii_eval_end:
  { \fp_eval:n {#1} }
\cs_new_protected:Npn \__usermmcccxcviii_err:n
  { \msg_error:nnn { usermmcccxcviii } { missing-replacement } }
\msg_new:nnn  { usermmcccxcviii } { missing-replacement }
  { Missing~ replacement~ rule~ for~ input~ #1 }
\cs_new_protected:Npn \__usermmcccxcviii_replace:nn #1#2
  { \tl_replace_all:Nnn \l__usermmcccxcviii_tablebody_tl {#1} {#2} }
\cs_new_protected:Npn \__usermmcccxcviii_replace_p:nn #1#2
  { \tl_replace_all:Nnn \l__usermmcccxcviii_tablebody_tl {#1} { (#2) } }
\ExplSyntaxOff

\begin{document}
\setuptablebody
  {%
    \SetCell[r=2]{fg=orange}\times 
		&  &  &  &  & a*x^2 & + & b*x & + & c \\
		&  &  &  &  & m*x^2 & + & n*x & + & p \\ \hline
		\SetCell[r=3]{fg=orange}+ 
		&  &  &  & + & p*a*x^2 & + & p*b*x & + & p*c \\
		&  & + & n*a*x^3 & + & n*b*x^2 & + & n*c*x &  &  \\
		& m*a*x^4 & + & m*b*x^3 & + & m*c*x^2 &  &  &  &  \\
		& m*a*x^4 & + & (n*a+m*b)x^3 & + & (p*a+n*b+m*c)x^2 & + & (p*b+n*c)x & + & p*c \\	
  }
\usetable
  {
    cells={mode=dmath,halign=r},
    hline{Y} = {solid}, 
    colsep = .3mm
  }
\usetable
  [ a = 1, b=1, c=-1, m=2, n=-7, p=9, ]
  {
    cells={mode=dmath,halign=r},
    hline{Y} = {solid}, 
    colsep = .3mm
  }
\usetable*
  [ a = 1, b=1, c=-1, m=2, n=-7, p=9, ]
  {
    cells={mode=dmath,halign=r},
    hline{Y} = {solid}, 
    colsep = .3mm
  }
\end{document}
```

Laurenso replying to Skillmon

But, It is really usefull in some cases. Thank you very much.

Laurenso replying to Skillmon

Can I get like this?  
  
![blob](/image?hash=6dd5a2f000a671c177958c7a0bded433c51ed80eba347e764f6ee58670742422)

Skillmon

@Anonymous I realised I forgot to ping you. ^^^

Skillmon

Though this doesn't feature numerical evaluation...

Skillmon

Instead of using your stuff directly inside of `tblr` you could do the following:

```
\documentclass[border=3.14mm,preview]{standalone}
\usepackage{tabularray}
\usepackage{ninecolors}
\usepackage{caption}
\usepackage{float}
\usepackage{tikz}
\usetikzlibrary{calc}
\UseTblrLibrary{amsmath,
	booktabs,
	counter,
	diagbox,
	siunitx,
	varwidth}

\ExplSyntaxOn
\tl_new:N \l__usermmcccxcviii_tablebody_tl
\NewDocumentCommand \setuptablebody { m }
  { \tl_set:Nn \l__usermmcccxcviii_tablebody_tl {#1} }
\NewDocumentCommand \usetable { O{} m }
  {
    \group_begin:
      \keyval_parse:NNn \__usermmcccxcviii_err:n \__usermmcccxcviii_replace:nn
        {#1}
      \use:e
        {
          \exp_not:n { \begin{tblr}{#2} }
          \exp_not:o { \l__usermmcccxcviii_tablebody_tl }
        }
      \end{tblr}
    \group_end:
  }
\cs_new_protected:Npn \__usermmcccxcviii_err:n
  { \msg_error:nnn { usermmcccxcviii } { missing-replacement } }
\msg_new:nnn  { usermmcccxcviii } { missing-replacement }
  { Missing~ replacement~ rule~ for~ input~ #1 }
\cs_new_protected:Npn \__usermmcccxcviii_replace:nn #1#2
  { \tl_replace_all:Nnn \l__usermmcccxcviii_tablebody_tl {#1} {#2} }
\ExplSyntaxOff
\begin{document}

\setuptablebody
  {%
    \SetCell[r=2]{fg=orange}\times 
		&  &  &  &  & a*x^2 & + & b*x & + & c \\
		&  &  &  &  & m*x^2 & + & n*x & + & p \\ \hline
		\SetCell[r=3]{fg=orange}+ 
		&  &  &  & + & p*a*x^2 & + & p*b*x & + & p*c \\
		&  & + & n*a*x^3 & + & n*b*x^2 & + & n*c*x &  &  \\
		& m*a*x^4 & + & m*b*x^3 & + & m*c*x^2 &  &  &  &  \\
		& m*a*x^4 & + & (n*a+m*b)x^3 & + & (p*a+n*b+m*c)x^2 & + & (p*b+n*c)x & + & p*c \\	
  }
\usetable
  {
    cells={mode=dmath,halign=r},
    hline{Y} = {solid}, 
    colsep = .3mm
  }
\usetable
  [ a = 1, b=1, c=-1, m=2, n=-7, p=9, ]
  {
    cells={mode=dmath,halign=r},
    hline{Y} = {solid}, 
    colsep = .3mm
  }
\end{document}
```

Laurenso replying to samcarter

I will try.

Laurenso replying to samcarter

Yes. Thank you very much.

samcarter replying to Laurenso

I don't fancy editing 40 variables

Laurenso replying to samcarter

Can you give me a complete code?

samcarter

If you actually need to calculate the product and sum of your indices, have a look at section "5.5.2 Inner key process in action" of the tabularray doc

samcarter replying to Laurenso

So you want to replace your variables with their values? I suggest to use macros:  
```  
\documentclass[border=3.14mm]{standalone}
\usepackage{tabularray}

\newcommand{\varp}{9}

\begin{document}

	\begin{tblr}{
cells={mode=dmath,halign=r},
hline{Y} = {solid}, 
colsep = .3mm} 
\varp x\\
	\end{tblr}  
\end{document}
```

Laurenso replying to samcarter

See my edit.

samcarter

@Anonymous, re: [your question](#question), Can you make a sketch how the result should look like?

0 Answers