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


## First Homework Problem File for
## BEGIN_DESCRIPTION
:## Calculus
## Sample problem embedding Sage in WW
:##  Partial Derivatives
## END_DESCRIPTION
:##  Unit 1
:##  


DOCUMENT();
DOCUMENT();
Line 13: Line 13:
loadMacros(
loadMacros(
"PGstandard.pl",
"PGstandard.pl",
"PGchoicemacros.pl",
"MathObjects.pl",
"MathObjects.pl",
"sage.pl"
);
);
Context()->strings->add(none=>{});


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


$x0 = non_zero_random(-2,2,1);
Context("Numeric");
$y0 = non_zero_random(-2,2,1); 


$f0 = ($x0**3-$y0**3)/($x0**2+$y0**2+1);
#######  Answers to check by WeBWorK go in the list below.


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


#######  Possible Upper WeBWorK text


#########  Sage code pasted starting here ##########
Context()->texStrings;
BEGIN_TEXT


var('x,y,t,s')
This is where WeBWorK problem text above the sage cell goes.


#
END_TEXT
Context()->normalStrings;


M=x*y
####                  Sage Cell Server
N=-y
####  Paste your code below fixing @ and $
     
####  Store any answers to send back as a list using the function below.
@interact(layout=dict(left= [['x0'],['y0'],['delx'],['dely']],
#### making certain that is tabbed over correctly
bottom=[['xx'],['yy']]))
def _( x0 = input_box(0,width=5,label='$x_0$'),
        y0 = input_box(0,width=5,label='$y_0$'),
        delx = input_box(1,width=5,label='$\Delta{x}$'),
        dely = input_box(1,width=5,label='$\Delta{y}$'),
        xx = range_slider(-5, 5, 1, default=(-2,2), label='x Range'),
        yy = range_slider(-5, 5, 1, default=(-1,3), label='y Range')):
           
    G = plot_vector_field((M,N),(x,xx[0],xx[1]),(y,yy[0],yy[1]),aspect_ratio=true)
    G += arrow((x0,y0),(x0+delx,y0+dely))
    show(G)


$SageCode = <<SAGE_CODE;


##############  End of Sage Code ######################
var('a')
a = pi
record_answer((a))


SAGE_CODE


</script></div>
Sage(
  SageCode=>$SageCode,
  AutoEvaluateCell=>'true'
);


  <script type="text/javascript" src="http://sagemath.org:5467/static/jquery-1.5.min.js"></script>
  <script type="text/javascript" src="http://sagemath.org:5467/embedded_singlecell.js"></script>


  <script type="text/javascript">
#######  WeBWorK text display following the Sage cell
$(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
Context()->texStrings;
                              // initialize Single Cell instances
BEGIN_TEXT
 
  });
  </script>
EOF


############### Below is the normal WebWork pg stuff #####################
When you are comfortable with the coefficients that you have chosen, press
the submit button below.


Context()->texStrings;
BEGIN_TEXT
Using the contour plot below, determine the range value of the illustrated function at \( ($x0,$y0) \).
$BR $BR
\( f($x0,$y0) = \)\{ ans_rule(15) \}
$PAR
END_TEXT
END_TEXT
Context()->normalStrings;
Context()->normalStrings;


#########  Answer Evaluation


#  need to add reasonable approximation error of about 0.1 or so.
$showPartialCorrectAnswers = 1;
ANS( Compute($f0)->cmp() );
NAMED_ANS( sageAnswer => $ansList->cmp   );


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


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


ENDDOCUMENT();       # This should be the last executable line in the problem.
:: TEXT(<<SAGE_CODE);   
    
 


To pass perl variables to the sage block if you need to from the problem initialization use:
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


:: TEXT(<<EOF);
If you are not passing any variables, use:


where <<EOF 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(<<'EOF');
== See Also ==
* [[Sage Embedding]]


where 'EOF' tells perl not to interpolate variables
[[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