Sage in WeBWorK: Difference between revisions

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  <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");
 
#######  Answers to check by WeBWorK go in the list below.
 
$ansList = List("(pi)");
 
#######  Possible Upper WeBWorK text
 
Context()->texStrings;
BEGIN_TEXT


$funct  = Compute("x**4");
This is where WeBWorK problem text above the sage cell goes.
$funct_diff = $funct->D('x');


TEXT(<<SAGE_CODE);
END_TEXT
<div id="singlecell-test">
Context()->normalStrings;
<script type="application/sage">


var('x')
####                  Sage Cell Server
~~@interact
####  Paste your code below fixing @ and $
def _(f = ($funct)):
####  Store any answers to send back as a list using the function below.
    df = diff(f,x,1)
####  making certain that is tabbed over correctly
    html('\( f \prime (x) = %s \)'%str(latex(df)) )


</script>
$SageCode = <<SAGE_CODE;
</div>
 
var('a')
a = pi
record_answer((a))


SAGE_CODE
SAGE_CODE


TEXT(<<'SAGE_SCRIPT');
Sage(
  SageCode=>$SageCode,
  AutoEvaluateCell=>'true'
);
 
TEXT($input_ref->{sageAnswer});


<script type="text/javascript" src="http://aleph.sagemath.org/static/jquery-1.5.min.js"></script>
#######  WeBWorK text display following the Sage cell
<script type="text/javascript" src="http://aleph.sagemath.org/embedded_singlecell.js"></script>
<script type="text/javascript">


$(function() { // load only when the page is loaded
Context()->texStrings;
  var makecells = function() {
BEGIN_TEXT
  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
                              // initialize Single Cell instances
  });
</script>


SAGE_SCRIPT
When you are comfortable with the coefficients that you have chosen, press
# Continue pg file as normal
the submit button below.


BEGIN_TEXT
$PAR
Using Sage above, determine the derivative of \[ f(x) = $funct \].
$PAR
\(f '(x) = \) \{ ans_rule(20) \}
END_TEXT
END_TEXT
Context()->normalStrings;


Context()->normalStrings;
#########  Answer Evaluation


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


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



Revision as of 15:33, 21 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://aleph.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'
);

TEXT($input_ref->{sageAnswer});

#######  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