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Calculating equations without duplication using LuaTeX or similar
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If I have a numerical equation (i.e. no unknowns) in LaTeX is it possible to have the equation parsed and evaluated somehow?
I know calculations can be done relatively easily by embedding Lua code using LuaTeX, but these require re-writing the equation. A solution would also have to cope with very small and large numbers, so I believe this is outside the scope of normal TeX.
It just seems silly to define an equation in LaTeX then have to write it again in a linear format in order to be computed.
Thanks in advance.
equations luatex
asked 6 hours ago
O.MS
234
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O.MS is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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up vote
4
down vote
favorite
If I have a numerical equation (i.e. no unknowns) in LaTeX is it possible to have the equation parsed and evaluated somehow?
I know calculations can be done relatively easily by embedding Lua code using LuaTeX, but these require re-writing the equation. A solution would also have to cope with very small and large numbers, so I believe this is outside the scope of normal TeX.
It just seems silly to define an equation in LaTeX then have to write it again in a linear format in order to be computed.
Thanks in advance.
equations luatex
asked 6 hours ago
O.MS
234
New contributor
O.MS is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
add a comment |Â
up vote
4
down vote
favorite
up vote
4
down vote
favorite
If I have a numerical equation (i.e. no unknowns) in LaTeX is it possible to have the equation parsed and evaluated somehow?
I know calculations can be done relatively easily by embedding Lua code using LuaTeX, but these require re-writing the equation. A solution would also have to cope with very small and large numbers, so I believe this is outside the scope of normal TeX.
It just seems silly to define an equation in LaTeX then have to write it again in a linear format in order to be computed.
Thanks in advance.
equations luatex
asked 6 hours ago
O.MS
234
New contributor
O.MS is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
If I have a numerical equation (i.e. no unknowns) in LaTeX is it possible to have the equation parsed and evaluated somehow?
I know calculations can be done relatively easily by embedding Lua code using LuaTeX, but these require re-writing the equation. A solution would also have to cope with very small and large numbers, so I believe this is outside the scope of normal TeX.
It just seems silly to define an equation in LaTeX then have to write it again in a linear format in order to be computed.
Thanks in advance.
equations luatex
equations luatex
asked 6 hours ago
O.MS
234
New contributor
O.MS is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 6 hours ago
O.MS
234
New contributor
O.MS is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 6 hours ago
O.MS
234
New contributor
O.MS is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 6 hours ago
O.MS
234
asked 6 hours ago
O.MS
234
234
New contributor
O.MS is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
O.MS is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
O.MS is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
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2 Answers
2
active
oldest
votes
up vote
3
down vote
accepted
This answer is merely an extension of @marmot's answer. It uses (a) the luacode environment to define a Lua function in a way that allows the use of the % "magic" character and (b) the num macro of the siunitx package, to prettify the output of the Lua calculations.
It's definitely possible to create a preprocessor-type function that captures and modifies all instances of frac......, log, sin, pi, etc. so that the code can be parsed by Lua. (It has to be at the preprocessor stage, so that TeX will not try to act on frac, ^, etc.) One very important consideration is that TeX's grouping characters, and , will have to be replaced with ( and ). Unless you need to perform lots and lots of formula evaluations in your document, it's almost certainly much quicker to perform the simplifications and adjustments "by hand".
documentclassarticle
usepackageluacode,siunitx
%% Lua-side code:
beginluacode
function luaprint ( n )
return tex.sprint ( string.format ( "%.3e" , n ) )
end
endluacode
%% LaTeX-side code:
defluaprint#1numdirectlualuaprint(#1)
begindocument
[
N = frac19.32times1times10^6times6.023times10^23197
=luaprint(19.32*1*10^6*6.023*10^(23))/197
]
enddocument
answered 30 mins ago
Mico
266k30359743
The best cannot remain without a vote. Congratulations on your detailed answer. My best regards.
– Sebastiano
17 mins ago
add a comment |Â
up vote
4
down vote
Welcome to TeX.SE! There is whole discussion on doing serious computations in LaTeX. My answer is based on this answer and at best a starting point, which shows that it is indeed possible to do something along those lines.
documentclassarticle
usepackage[fleqn]amsmath
usepackageluacode
% from https://tex.stackexchange.com/a/294465/121799
defluaprint#1directluatex.print(#1)
begindocument
beginequation*
N = frac6.022cdot10^231.2cdot10^19
=luaprint(1.932*10^6)*6.022*10^(23)/(197)
endequation*
enddocument
Notice also that there are various possibilities to print these numbers in LateX. Unfortunately, I do not know too much on luacode but what I do know is that section 92 of the pgfmanual lists several possibilities to do that in TikZ/pgf.
answered 5 hours ago
marmot
64.9k471139
add a comment |Â
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
3
down vote
accepted
This answer is merely an extension of @marmot's answer. It uses (a) the luacode environment to define a Lua function in a way that allows the use of the % "magic" character and (b) the num macro of the siunitx package, to prettify the output of the Lua calculations.
It's definitely possible to create a preprocessor-type function that captures and modifies all instances of frac......, log, sin, pi, etc. so that the code can be parsed by Lua. (It has to be at the preprocessor stage, so that TeX will not try to act on frac, ^, etc.) One very important consideration is that TeX's grouping characters, and , will have to be replaced with ( and ). Unless you need to perform lots and lots of formula evaluations in your document, it's almost certainly much quicker to perform the simplifications and adjustments "by hand".
documentclassarticle
usepackageluacode,siunitx
%% Lua-side code:
beginluacode
function luaprint ( n )
return tex.sprint ( string.format ( "%.3e" , n ) )
end
endluacode
%% LaTeX-side code:
defluaprint#1numdirectlualuaprint(#1)
begindocument
[
N = frac19.32times1times10^6times6.023times10^23197
=luaprint(19.32*1*10^6*6.023*10^(23))/197
]
enddocument
answered 30 mins ago
Mico
266k30359743
The best cannot remain without a vote. Congratulations on your detailed answer. My best regards.
– Sebastiano
17 mins ago
add a comment |Â
up vote
3
down vote
accepted
This answer is merely an extension of @marmot's answer. It uses (a) the luacode environment to define a Lua function in a way that allows the use of the % "magic" character and (b) the num macro of the siunitx package, to prettify the output of the Lua calculations.
It's definitely possible to create a preprocessor-type function that captures and modifies all instances of frac......, log, sin, pi, etc. so that the code can be parsed by Lua. (It has to be at the preprocessor stage, so that TeX will not try to act on frac, ^, etc.) One very important consideration is that TeX's grouping characters, and , will have to be replaced with ( and ). Unless you need to perform lots and lots of formula evaluations in your document, it's almost certainly much quicker to perform the simplifications and adjustments "by hand".
documentclassarticle
usepackageluacode,siunitx
%% Lua-side code:
beginluacode
function luaprint ( n )
return tex.sprint ( string.format ( "%.3e" , n ) )
end
endluacode
%% LaTeX-side code:
defluaprint#1numdirectlualuaprint(#1)
begindocument
[
N = frac19.32times1times10^6times6.023times10^23197
=luaprint(19.32*1*10^6*6.023*10^(23))/197
]
enddocument
answered 30 mins ago
Mico
266k30359743
The best cannot remain without a vote. Congratulations on your detailed answer. My best regards.
– Sebastiano
17 mins ago
add a comment |Â
up vote
3
down vote
accepted
up vote
3
down vote
accepted
This answer is merely an extension of @marmot's answer. It uses (a) the luacode environment to define a Lua function in a way that allows the use of the % "magic" character and (b) the num macro of the siunitx package, to prettify the output of the Lua calculations.
It's definitely possible to create a preprocessor-type function that captures and modifies all instances of frac......, log, sin, pi, etc. so that the code can be parsed by Lua. (It has to be at the preprocessor stage, so that TeX will not try to act on frac, ^, etc.) One very important consideration is that TeX's grouping characters, and , will have to be replaced with ( and ). Unless you need to perform lots and lots of formula evaluations in your document, it's almost certainly much quicker to perform the simplifications and adjustments "by hand".
documentclassarticle
usepackageluacode,siunitx
%% Lua-side code:
beginluacode
function luaprint ( n )
return tex.sprint ( string.format ( "%.3e" , n ) )
end
endluacode
%% LaTeX-side code:
defluaprint#1numdirectlualuaprint(#1)
begindocument
[
N = frac19.32times1times10^6times6.023times10^23197
=luaprint(19.32*1*10^6*6.023*10^(23))/197
]
enddocument
answered 30 mins ago
Mico
266k30359743
This answer is merely an extension of @marmot's answer. It uses (a) the luacode environment to define a Lua function in a way that allows the use of the % "magic" character and (b) the num macro of the siunitx package, to prettify the output of the Lua calculations.
It's definitely possible to create a preprocessor-type function that captures and modifies all instances of frac......, log, sin, pi, etc. so that the code can be parsed by Lua. (It has to be at the preprocessor stage, so that TeX will not try to act on frac, ^, etc.) One very important consideration is that TeX's grouping characters, and , will have to be replaced with ( and ). Unless you need to perform lots and lots of formula evaluations in your document, it's almost certainly much quicker to perform the simplifications and adjustments "by hand".
documentclassarticle
usepackageluacode,siunitx
%% Lua-side code:
beginluacode
function luaprint ( n )
return tex.sprint ( string.format ( "%.3e" , n ) )
end
endluacode
%% LaTeX-side code:
defluaprint#1numdirectlualuaprint(#1)
begindocument
[
N = frac19.32times1times10^6times6.023times10^23197
=luaprint(19.32*1*10^6*6.023*10^(23))/197
]
enddocument
answered 30 mins ago
Mico
266k30359743
answered 30 mins ago
Mico
266k30359743
answered 30 mins ago
Mico
266k30359743
answered 30 mins ago
Mico
266k30359743
266k30359743
The best cannot remain without a vote. Congratulations on your detailed answer. My best regards.
– Sebastiano
17 mins ago
add a comment |Â
The best cannot remain without a vote. Congratulations on your detailed answer. My best regards.
– Sebastiano
17 mins ago
The best cannot remain without a vote. Congratulations on your detailed answer. My best regards.
– Sebastiano
17 mins ago
The best cannot remain without a vote. Congratulations on your detailed answer. My best regards.
– Sebastiano
17 mins ago
add a comment |Â
up vote
4
down vote
Welcome to TeX.SE! There is whole discussion on doing serious computations in LaTeX. My answer is based on this answer and at best a starting point, which shows that it is indeed possible to do something along those lines.
documentclassarticle
usepackage[fleqn]amsmath
usepackageluacode
% from https://tex.stackexchange.com/a/294465/121799
defluaprint#1directluatex.print(#1)
begindocument
beginequation*
N = frac6.022cdot10^231.2cdot10^19
=luaprint(1.932*10^6)*6.022*10^(23)/(197)
endequation*
enddocument
Notice also that there are various possibilities to print these numbers in LateX. Unfortunately, I do not know too much on luacode but what I do know is that section 92 of the pgfmanual lists several possibilities to do that in TikZ/pgf.
answered 5 hours ago
marmot
64.9k471139
add a comment |Â
up vote
4
down vote
Welcome to TeX.SE! There is whole discussion on doing serious computations in LaTeX. My answer is based on this answer and at best a starting point, which shows that it is indeed possible to do something along those lines.
documentclassarticle
usepackage[fleqn]amsmath
usepackageluacode
% from https://tex.stackexchange.com/a/294465/121799
defluaprint#1directluatex.print(#1)
begindocument
beginequation*
N = frac6.022cdot10^231.2cdot10^19
=luaprint(1.932*10^6)*6.022*10^(23)/(197)
endequation*
enddocument
Notice also that there are various possibilities to print these numbers in LateX. Unfortunately, I do not know too much on luacode but what I do know is that section 92 of the pgfmanual lists several possibilities to do that in TikZ/pgf.
answered 5 hours ago
marmot
64.9k471139
add a comment |Â
up vote
4
down vote
up vote
4
down vote
Welcome to TeX.SE! There is whole discussion on doing serious computations in LaTeX. My answer is based on this answer and at best a starting point, which shows that it is indeed possible to do something along those lines.
documentclassarticle
usepackage[fleqn]amsmath
usepackageluacode
% from https://tex.stackexchange.com/a/294465/121799
defluaprint#1directluatex.print(#1)
begindocument
beginequation*
N = frac6.022cdot10^231.2cdot10^19
=luaprint(1.932*10^6)*6.022*10^(23)/(197)
endequation*
enddocument
Notice also that there are various possibilities to print these numbers in LateX. Unfortunately, I do not know too much on luacode but what I do know is that section 92 of the pgfmanual lists several possibilities to do that in TikZ/pgf.
answered 5 hours ago
marmot
64.9k471139
Welcome to TeX.SE! There is whole discussion on doing serious computations in LaTeX. My answer is based on this answer and at best a starting point, which shows that it is indeed possible to do something along those lines.
documentclassarticle
usepackage[fleqn]amsmath
usepackageluacode
% from https://tex.stackexchange.com/a/294465/121799
defluaprint#1directluatex.print(#1)
begindocument
beginequation*
N = frac6.022cdot10^231.2cdot10^19
=luaprint(1.932*10^6)*6.022*10^(23)/(197)
endequation*
enddocument
Notice also that there are various possibilities to print these numbers in LateX. Unfortunately, I do not know too much on luacode but what I do know is that section 92 of the pgfmanual lists several possibilities to do that in TikZ/pgf.
answered 5 hours ago
marmot
64.9k471139
answered 5 hours ago
marmot
64.9k471139
answered 5 hours ago
marmot
64.9k471139
answered 5 hours ago
marmot
64.9k471139
64.9k471139
add a comment |Â
add a comment |Â
O.MS is a new contributor. Be nice, and check out our Code of Conduct.
O.MS is a new contributor. Be nice, and check out our Code of Conduct.
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