Sage in WeBWorK: Difference between revisions

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Sage is an open source, online symbolic mathematical system.  Details on Sage can be found at http://www.sagemath.org .
Sage is an open source, online symbolic mathematical system.  Details on Sage can be found at http://www.sagemath.org .


For use within WebWork, a special "single-cell" version of Sage is located at http://sagemath.org:5467
For use within WebWork, a special "single-cell" version of Sage is located at http://sagecell.sagemath.org
  <nowiki>
  <nowiki>
## Template for calling Sage from within a WebWork pg file
## Template for calling Sage from within a WebWork pg file
## BEGIN_DESCRIPTION
## Sample problem embedding Sage in WW
## END_DESCRIPTION


DOCUMENT();
DOCUMENT();
Line 9: Line 13:
loadMacros(
loadMacros(
"PGstandard.pl",
"PGstandard.pl",
"PGchoicemacros.pl",
"MathObjects.pl",
"MathObjects.pl",
"sage.pl"
);
);


TEXT(beginproblem());
TEXT(beginproblem());


# Regular WebWork setup
Context("Numeric");


$funct  = Compute("x**4");
#######  Answers to check by WeBWorK go in the list below.
$funct_diff = $funct->D('x');


TEXT(<<'SAGE_CODE');
$ansList = List("(pi)");
<div id="singlecell-test"><script type="text/code">


# Example Sage Python
#######  Possible Upper WeBWorK text


var('x')
Context()->texStrings;
@interact
BEGIN_TEXT
def _(f = (x^2)):
    df = diff(f,x,1)
    html('$f \prime (x) = %s$'%str(latex(df)) )


# End of Sage code - Start of scripts that call the Sage single-cell server
This is where WeBWorK problem text above the sage cell goes.


</script></div>
END_TEXT
Context()->normalStrings;


  <script type="text/javascript" src="http://sagemath.org:5467/static/jquery-1.5.min.js"></script>
####                  Sage Cell Server
  <script type="text/javascript" src="http://sagemath.org:5467/embedded_singlecell.js"></script>
####  Paste your code below fixing @ and $
####  Store any answers to send back as a list using the function below.
####  making certain that is tabbed over correctly


  <script type="text/javascript">
$SageCode = <<SAGE_CODE;
$(function() { // load only when the page is loaded
  var makecells = function() {
  singlecell.makeSinglecell({
      inputLocation: "#singlecell-test",
      editor: "codemirror",
      hide: ["editor","computationID","files","messages","sageMode"],
      evalButtonText: "Start/Restart",
      replaceOutput: true});
  }


  singlecell.init(makecells); // load Single Cell libraries and then
var('a')
                              // initialize Single Cell instances
a = pi
record_answer((a))


  });
  </script>
SAGE_CODE
SAGE_CODE


# Continue pg file as normal
Sage(
  SageCode=>$SageCode,
  AutoEvaluateCell=>'true'
);
 
 
#######  WeBWorK text display following the Sage cell


Context()->texStrings;
BEGIN_TEXT
BEGIN_TEXT
$PAR
 
Using Sage above, determine the derivative of \[ f(x) = $funct \].
When you are comfortable with the coefficients that you have chosen, press
$PAR
the submit button below.
\(f '(x) = \) \{ ans_rule(20) \}
 
END_TEXT
END_TEXT
Context()->normalStrings;
Context()->normalStrings;


ANS($funct_diff->cmp() );
#########  Answer Evaluation
 


ENDDOCUMENT();      
$showPartialCorrectAnswers = 1;
NAMED_ANS( sageAnswer => $ansList->cmp  );


ENDDOCUMENT();        # This should be the last executable line in the problem.
     
  </nowiki>
  </nowiki>


To pass perl variables to the sage block if you need to from the problem initialization use:
The example shows how to pass perl variables from the problem initialization into the sage block.


:: TEXT(<<
:: TEXT(<<SAGE_CODE); 


SAGE_CODE
where << SAGE_CODE without single quotes is necessary.  However, the Sage code will not execute if no variables are actually passed in.  Since $ and @ within the Sage code are now interpreted by perl, all latex delimiters should be converted from $ signs to \ ( and \ ) pairs.  Additionally, any @interact needs to be escaped and written as ~~@interact


);  [[ Details on how to pass variables in to be added later ... under construction ]]
If you are not passing any variables, use:


where << SAGE_CODE allows interpolation
:: TEXT(<<'SAGE_CODE');


otherwise use:
where <<'SAGE_CODE' tells perl not to interpret variables.  Sage code can then be pasted in verbatim without any need to convert formatting or escaping other characters.
 
:: TEXT(<<'
 
SAGE_CODE


');
== See Also ==
* [[Sage Embedding]]


where 'SAGE_CODE' tells perl not to interpolate variables
[[Category:Developers]]
[[Category:Developers]]

Latest revision as of 15:42, 24 June 2013

Sage is an open source, online symbolic mathematical system. Details on Sage can be found at http://www.sagemath.org .

For use within WebWork, a special "single-cell" version of Sage is located at http://sagecell.sagemath.org 

## Template for calling Sage from within a WebWork pg file

## BEGIN_DESCRIPTION
## Sample problem embedding Sage in WW
## END_DESCRIPTION

DOCUMENT();

loadMacros(
"PGstandard.pl",
"MathObjects.pl",
"sage.pl"
);

TEXT(beginproblem());

Context("Numeric");

#######   Answers to check by WeBWorK go in the list below.

$ansList = List("(pi)");

#######   Possible Upper WeBWorK text

Context()->texStrings;
BEGIN_TEXT

This is where WeBWorK problem text above the sage cell goes.

END_TEXT
Context()->normalStrings;

####                   Sage Cell Server
####  Paste your code below fixing @ and $
####  Store any answers to send back as a list using the function below.
####  making certain that is tabbed over correctly

$SageCode = <<SAGE_CODE;

var('a')
a = pi
record_answer((a))

SAGE_CODE

Sage(
  SageCode=>$SageCode,
  AutoEvaluateCell=>'true'
);


#######  WeBWorK text display following the Sage cell

Context()->texStrings;
BEGIN_TEXT

When you are comfortable with the coefficients that you have chosen, press
the submit button below.

END_TEXT
Context()->normalStrings;

#########  Answer Evaluation

$showPartialCorrectAnswers = 1;
NAMED_ANS( sageAnswer => $ansList->cmp   );

ENDDOCUMENT();        # This should be the last executable line in the problem.

The example shows how to pass perl variables from the problem initialization into the sage block.

TEXT(<<SAGE_CODE);

where << SAGE_CODE without single quotes is necessary. However, the Sage code will not execute if no variables are actually passed in. Since $ and @ within the Sage code are now interpreted by perl, all latex delimiters should be converted from $ signs to \ ( and \ ) pairs. Additionally, any @interact needs to be escaped and written as ~~@interact

If you are not passing any variables, use:

TEXT(<<'SAGE_CODE');

where <<'SAGE_CODE' tells perl not to interpret variables. Sage code can then be pasted in verbatim without any need to convert formatting or escaping other characters.

See Also

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