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(<<SAGE_CODE);   
:: TEXT(<<SAGE_CODE);   


where << SAGE_CODE without single quotes allows interpolation.   
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
This will not work correctly if no variables are actually passed in.  Since perl variables within the Sage code are not interpreted as perl variables, all latex delimiters need to be converted from $ signs to \( and \) pairs.
Also, any @interact needs to be escaped and written as ~~@interact


If you are not passing any variables in use:
If you are not passing any variables, use:


:: TEXT(<<'SAGE_CODE');
:: TEXT(<<'SAGE_CODE');


where <<'SAGE_CODE' tells perl not to interpret variables.  This way Sage code and be pasted in verbatim without any need to convert formatting or other characters.
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 ==
* [[Sage Embedding]]
 
[[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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