Sage Embedding
Using the Sage Cell Server
This PG code shows how to embed a call to the Sage Cell Server from within a problem.
PG problem file | Explanation |
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loadMacros("PGstandard.pl", "MathObjects.pl", "sage.pl", ); |
The sage.pl macro is not yet part of the standard WeBWorK distribution. You will need to download the macro file sage.pl and place it in your local macros directory for this to work. |
############################################### ## ## pg initializations and regular WeBWorK code $a = random(2,5,1); |
The WeBWorK set up for the problem is the same, but in addition you have
to consider how you will pass the problem parameters into Sage. For example,
if you want to pass
|
$SageCode = <<SAGE_CODE; Area = integrate(sin($a*x),x,0,pi) print Area sageAnswer = (Area) SAGE_CODE |
$SageCode = <<SAGE_CODE; denotes the beginning of the Sage Python code to be inserted into the WeBWorK problem. This will be paired at the end with and ending SAGE_CODE which must be left-justified. This portion will create a perl variable $SageCode which is the complete Python text. To share values computed inside the Sage cell back to the WeBWorK problem, create a single Sage list named "sageAnswer" (which is configurable). |
Sage( SageCode=>$SageCode, ButtonText=>'Click Here to Evaluate/Reload', CellServer=>'http://sagecell.sagemath.org', AutoEvaluateCell=>'true', ShowAnswerBlank=>'hidden' ); |
Main sage script:
Working Sage code will work verbatim except for a couple of notational changes caused by conflicting syntax between perl and sage. In particular, since "@" is used for tables in perl and for interacts in sage, one will need to replace "@" with "~~@".
Further, WeBWorK uses The defaults for several of the customizable options: SageCode => 'print 1+2', ButtonText => 'Start/Restart the Interactive Cell', CellServer => 'http://sagecell.sagemath.org', SageAnswerName => 'sageAnswer', SageAnswerValue => 'ansList', AutoEvaluateCell => 'true', Some options include:
- if you want to see the Sage computed answer list from within the Sage cell
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TEXT($input_ref->{sageAnswer}); |
Answers are passed back to the WeBWorK problem through the variable sageAnswer. (This name is configurable.) |
## Lower WeBWorK text ## ## Problem display following the Sage cell ## Context()->texStrings; BEGIN_TEXT Determine the definite integral of \( sin($ax) \) from \(a=0\) to \(b=\pi\). END_TEXT Context()->normalStrings; # Answer Evaluation $showPartialCorrectAnswers = 1; NAMED_ANS( sageAnswer => $ansList->cmp ); ENDDOCUMENT(); |
The list of values computed inside the Sage cell are sageAnswer => $ansList. |