[NTG-context] Re: Combining python and lua
Hi,
Thanks for your inputs Aditya and Bruce.
I’m still having some issues when trying to include the output of the filter
module within lua.
MNWE:
\defineexternalfilter
[sympy]
[filtercommand={/Users/aleks/miniconda3/bin/python3
\externalfilterinputfile\space > \externalfilteroutputfile},
bufferbefore=init,
output={\externalfilterbasefile.out},
readcommand=\typefile,
read=no,]
\startbuffer[init]
from sympy import *
\stopbuffer
\starttext
\startluacode
local deg2rad = [[
%\startsympy
print(latex(rad(%angleVal%)))
%\stopsympy
]]
local calcTrigFunction = [[
\startsympy
from sympy import *
print(latex(%fname%(rad(%angleVal%
\stopsympy
]]
local angleList = {0, 30, 45, 60, 90, 120, 135, 150, 180, 210, 225,
240, 270, 300, 315, 330, 360}
for _, a in ipairs(angleList) do
context.templates[calcTrigFunction] {
fname = "sin",
angleVal = a
}
end
\stopluacode
\stoptext
In particular, it fails as soon as \startsympy and \stopsympy are part of the
template. Should I protect these?
A. Christe
Le 25 oct. 2023 à 21:56 +0200, Aditya Mahajan , a écrit :
> On Wed, 25 Oct 2023, Alexandre Christe wrote:
>
> > Dear list,
> >
> > I’d like to know the best approach to make this a bit more usable. I’m
> > trying to typeset a table with sin/cos/tan values. I’d like to be able to
> > convert the angles in degrees into radians (with math notation) and to
> > compute the trigonometric function leading to sin(pi/4) = 1/2, or cos(pi/6)
> > = sqrt(3)/2 and display it in math mode.
> >
> > Here’s my current MWE, where I fail to convert the angles in radians
>
> there is math.sind, cosd, etc. for computing sin for angle in degrees. The
> implementation is l-math.lua is:
>
> local pipi = 2*math.pi/360
>
> function math.sind(d) return sin(d*pipi) end
> function math.cosd(d) return cos(d*pipi) end
> function math.tand(d) return tan(d*pipi) end
>
> > and fail to display the result in symbolic form.
>
> Context doesn't do symbolic math. You can try checking if one of the symbolic
> math libraries in lua provides all the features that you want.
>
> > One possible way would be to use Python and the t-filter module, like this
>
> This can work as follows. Take the array of angles, and convert them to the
> desired format in python and write them to a temp file. Read that temp file
> in lua and typeset it as you want.
>
> Another option is an old proof of concept by Luigi:
> https://github.com/bastibe/lunatic-python which allowed two-way communication
> between python and luatex. Not sure if it still works.
>
> Aditya
>
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[NTG-context] Re: Combining python and lua
On Wed, 25 Oct 2023, Alexandre Christe wrote: > Dear list, > > I’d like to know the best approach to make this a bit more usable. I’m trying > to typeset a table with sin/cos/tan values. I’d like to be able to convert > the angles in degrees into radians (with math notation) and to compute the > trigonometric function leading to sin(pi/4) = 1/2, or cos(pi/6) = sqrt(3)/2 > and display it in math mode. > > Here’s my current MWE, where I fail to convert the angles in radians there is math.sind, cosd, etc. for computing sin for angle in degrees. The implementation is l-math.lua is: local pipi = 2*math.pi/360 function math.sind(d) return sin(d*pipi) end function math.cosd(d) return cos(d*pipi) end function math.tand(d) return tan(d*pipi) end > and fail to display the result in symbolic form. Context doesn't do symbolic math. You can try checking if one of the symbolic math libraries in lua provides all the features that you want. > One possible way would be to use Python and the t-filter module, like this This can work as follows. Take the array of angles, and convert them to the desired format in python and write them to a temp file. Read that temp file in lua and typeset it as you want. Another option is an old proof of concept by Luigi: https://github.com/bastibe/lunatic-python which allowed two-way communication between python and luatex. Not sure if it still works. Aditya ___ 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 ___
[NTG-context] Re: Combining python and lua
On 25 Oct 2023, at 16:45, Alexandre Christe wrote:
>
> Dear list,
>
> I’d like to know the best approach to make this a bit more usable. I’m trying
> to typeset a table with sin/cos/tan values. I’d like to be able to convert
> the angles in degrees into radians (with math notation) and to compute the
> trigonometric function leading to sin(pi/4) = 1/2, or cos(pi/6) = sqrt(3)/2
> and display it in math mode.
You can use templates to subtitute values into a string and then send that out
to be typeset.
For example: if you want to turn "sin(pi/4) = 1/2" to
\startformula
\sin{\frac{\pi}{4}} = \frac{1}{2}
\stopformula
Then use this Lua code:
local myTrigTemplate = [[
\startformula
\%fname%{\frac{\pi}{%divisor%}} = \frac{%numerator%}{%denominator%}
\stopformula
]]
context.templates[myTrigTemplate] {
fname = "sin",
divisor = 4,
numerator = 1,
denominator = 2
}
By combining them (using the result of a simple template as the parameter value
into a larger template) you can create a function similar to Python's latex()
that handles the trig functions you are using. That is the easy bit.
Converting the angle into radians and then getting the result as a fraction of
pi requires you to implement a continued fraction algorithm to determine
numerator and denominator.
Extending that to determine whether to use sqrt(3)/2 instead of some other
fractional approximation is another significant step up in complexity.
I can send you some code that does that - but it's written in HP-71 BASIC so
you'll have to adapt it. :-)
The real question is: do you really want to be able to generate an expression
from *any* initial angle value or just those in your table? If it's just those
in your table then I think it would be much, much less effort to extend
'angleList' with accompanying lists holding the values to substitute into the
template. Or even just typeset the whole table by hand (prepare a list of the
expressions and use editor macros to ConTeXtify them).
Regards,
—
Bruce Horrocks
Hampshire, UK
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