Building Latex/Tex arguments in lua (2) - lua

The same question as Building Lates/Tex arguments in lua with a more complex case :
Part II
A more adequate model :
I try to replace the plot arguments by a lua production:
Original:
\begin{tikzpicture}[line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm]
\draw[smooth,samples=100,domain=-3.0:2.0] plot(\x,{(\x-1.0)^2.0*(\x+3.0)});
\end{tikzpicture}%
Replacement by a "manual" macro : works fine
\def\tempD{(\x-1)*(\x-1)*(\x+3)}
\begin{tikzpicture}[line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm]
\draw[smooth,samples=100,domain=-3.0:2.0] plot(\x,{\tempD}); % works fine
\end{tikzpicture}%
Trials to use a string produced by lua to replace the manual macro : still to be found
\begin{tikzpicture}[line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm]
%\draw[smooth,samples=100,domain=-3.0:2.0] plot(\x,{\strfunc??????}); % the correct \strfuncXX is still to be found !
\end{tikzpicture}%
Trials to find the correct \strfuncXX, taking account egreg's infos :
\def\strfuncA{\luaexec{tex.write("(\\x-1)*(\\x-1)*(\\x+3)")}} % fails in draw, probably because it is not expanded enough as an argument of draw
%\edef\strfuncAA{\luaexec{tex.write("(\\x-1)*(\\x-1)*(\\x+3)")}} % fails because \luaexec non expandable
\def\strfuncB{\directlua{tex.write("(\\x-1)*(\\x-1)*(\\x+3)")}} % fails because \directlua has a problem managing the "\\"
\def\strfuncC{\directlua{tex.write("(x-1)*(x-1)*(x+3)")}}
\edef\strfuncCC{\directlua{tex.write("(x-1)*(x-1)*(x+3)")}} % works fine ... except that we get an expression with xs instead of \xs
\def\strfuncD{\directlua{tex.write("(\string\ x-1)*(\string\ x-1)*(\string\ x+3)")}} % \strfuncD fails (why ?)
%\edef\strfuncDD{\directlua{tex.write("(\string\ x-1)*(\string\ x-1)*(\string\ x+3)")}} % \strfuncD fails so \edef will fail
Moving from \luaexec to \luadirect (or \directlua) created a problem with the compulsory \x I have to produce that I cannot solve.

Related

Maxima greek symbols display but dont work?

I am trying to calculate the energy of a photon in (wx)Maxima, using physical_constants and ezunits:
|lambda| : 800 * 10^-9 ` m;
Where | denotes Escape... which displays correctly as a greek lambda, but wxMaxima does not confirm the value as it does usually.
So next I try to use E = h*c/lambda
constvalue (%h * %c / |lambda|) `` J;
But again wxMaxima does not show any result.
Everything works fine if I use lambda spelled in full instead of a greek symbol...
Is the |greek| only good for text inputs?
It's fairly simple: lambda denotes the anonymous lambda function and that one can not be used as a symbol. Use %lambda instead.
A similar thing applies to phi: phi can be used as a symbol, but %phi is a constant with the value 1.61... (golden ratio).
Taking a derivative with respect to %phi instead of phi will for that reason always result in 0 ;-)

Matrix calculator - pascal program - command line

I would like to make matrix calculator, but I struggle a little bit, how to make an input of the program. I have commands that user can use in calculator. Some takes 1 argument, 2 arguments or 3 arguments. I was inspired by program on this website http://www.ivank.net/blogspot/matrix_pascal/matrices.pas
But I don't really understand, how the input is made. Program from the website use parse, split procedures, but I don't know, how does it work. Does it exists some website, where it is good explained (Parse in Pascal)? I would like to really understand it.
This is, how it should looks like:
command: sum X Y
command: multiply X
command: transpose X
In the sample which inspired you, all the calculation is realized by the 'procedure parse(command:String);'.
The first step consists to extract the command and all parameters by:
com := Split(command, ' ');
In your case, you will obtain for 'command: sum X Y':
Length(com) = 3
com[0] = 'sum'; com[1] = 'X'; com[2] = 'Y';
But, be carefull, the 'X' and 'Y' parameters shall not have characters between numbers.

script-fu multiplication : not enought argument

simple multiplication is failling in my script-fu.
the folowing code
(print "hello")
(print (/ 4 3))
(print (* 3 4))
(print "world")
Gives :
"hello"
1,333333333.0
Error: ( : 1) not enough arguments
Any idea ?
Thanks
I ran into a similar problem when trying to add new functionality to someone else's script. I wanted to provide my solution in case anyone else runs into a similar issue.
In this case, there was a '(let* (...))' statement that was being used to initialize some variables. The original author of the script wrote '(let * (...))' - with a space between let and star - which means every vector in the 'let' statement becomes the expected arguments for the '*' statement.
More info: http://docs.racket-lang.org/reference/let.html
Please excuse (and correct if necessary) any incorrect nomenclature regarding Scheme. I have barely just been exposed to it.

Why F# compiler gets into twist with seq{0L..-5L..-10L}?

I'm having a bit of trouble declaring a descending sequence of int64.
What I want is this:
seq{0L..-5L..-10L};;
However, I get an error:
seq{0L..-5L..-10L};;
---^^^^^^^^^^^^^^^
stdin(5,4): error FS0739: Invalid object, sequence or record expression
Interestingly, it works with plain int:
> seq{0..-5..-10};;
val it : seq<int> = seq [0; -5; -10]
Even more interestingly, if I put spaces between .., it starts working with int64 too:
> seq{0L .. -5L .. -10L};;
val it : seq<int64> = seq [0L; -5L; -10L]
Can someone explain why the compiler gets into the twist with seq{0L..-5L..-10L}?
I agree that this is a bit odd behavior. It is generally recommended (although this is not strictly required by the specification) to write spaces around .. and it works correctly in that case. So I'd recommend using:
seq { 0 .. -5 .. -10 }
seq { 0L .. -5L .. -10L }
Why is this behaving differently for int and int64? You may notice that when you write 1..-2 and 1L..-2, Visual Studio colorizes the text differently (in the first case .. has the same color as numbers, in the other case, it has the same color as .. with spaces).
The problem is that when the compiler sees 1., it may mean a floating point value (1.0) or it may be a start of 1.., so this case is handled specially. For 1L., this is not a problem - 1L. has to be the beginning of 1L...
So, if you write 1..-5..-10, the compiler uses the special handling and generates a sequence. If you write 1L..-5..-10, then the compiler parses ..- as a unary operator that is applied to 5L. Writing the spaces resolves the ambiguity between unary operator and .. followed by a negative number.
For reference, here is a screenshot from my Visual Studio (which shows 10.. in green, but .. on the second line in yellow - not particularly noticeable difference, but they are different :-))

How do I format a PRINT or WRITE statement to overwrite the current line on the console screen?

I want to display the progress of a calculation done with a DO-loop, on the console screen. I can print out the progress variable to the terminal like this:
PROGRAM TextOverWrite_WithLoop
IMPLICIT NONE
INTEGER :: Number, Maximum = 10
DO Number = 1, MAXIMUM
WRITE(*, 100, ADVANCE='NO') REAL(Number)/REAL(Maximum)*100
100 FORMAT(TL10, F10.2)
! Calcultations on Number
END DO
END PROGRAM TextOverWrite_WithLoop
The output of the above code on the console screen is:
10.00 20.00 30.00 40.00 50.00 60.00 70.00 80.00
90.00 100.00
All on the same line, wrapped only by the console window.
The ADVANCE='No' argument and the TL10 (tab left so many spaces) edit descriptor works well to overwrite text on the same line, e.g. the output of the following code:
WRITE(*, 100, ADVANCE='NO') 100, 500
100 FORMAT(I3, 1X, TL4, I3)
Is:
500
Instead of:
100 500
Because of the TL4 edit descriptor.
From these two instances one can conclude that the WRITE statement cannot overwrite what has been written by another WRITE statement or by a previous execution of the same WRITE satement (as in a DO-loop).
Can this be overcome somehow?
I am using the FTN95 compiler on Windows 7 RC1. (The setup program of the G95 compiler bluescreens Windows 7 RC1, even thought it works fine on Vista.)
I know about the question Supressing line breaks in Fortran 95 write statements, but it does not work for me, because the answer to that question means new ouput is added to the previous output on the same line; instead of new output overwriting the previous output.
Thanks in advance.
The following should be portable across systems by use of ACHAR(13) to encode the carriage return.
character*1 creturn
! CODE::
creturn = achar(13) ! generate carriage return
! other code ...
WRITE( * , 101 , ADVANCE='NO' ) creturn , i , npoint
101 FORMAT( a , 'Point number : ',i7,' out of a total of ',i7)
There is no solution to this question within the scope of the Fortran standards. However, if your compiler understand backslash in Fortran strings (GNU Fortran does if you use the option -fbackslash), you can write
write (*,"(A)",advance="no") "foo"
call sleep(1)
write (*,"(A)",advance="no") "\b\b\bbar"
call sleep(1)
write (*,"(A)",advance="no") "\b\b\bgee"
call sleep(1)
write (*,*)
end
This uses the backslash character (\b) to erase previously written characters on that line.
NB: if your compiler does not understand advance="no", you can use related non-standard tricks, such as using the $ specifier in the format string.
The following worked perfectly using g95 fortran:
NF = NF + 1
IF(MOD(NF,5).EQ.0) WRITE(6,42,ADVANCE='NO') NF, ' PDFs'//CHAR(13)
42 FORMAT(I6,A)
gave:
5 PDFs
leaving the cursor at the #1 position on the same line. On the next update,
the 5 turned into a 10. ASCII 13 (decimal) is a carriage return.
OPEN(6,CARRIAGECONTROL ='FORTRAN')
DO I=1,5
WRITE(6,'(1H+" ",I)') I
ENDDO

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