Sage in WeBWorK: Difference between revisions

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.

@@ Line 1: / Line 1: @@
 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>
+## 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();
- loadMacros(
- "PGstandard.pl",
- "PGchoicemacros.pl",
- "MathObjects.pl",
- );
- Context()->strings->add(none=>{});
- TEXT(beginproblem());
- $x0 = non_zero_random(-2,2,1);
- $y0 = non_zero_random(-2,2,1);
- $f0 = ($x0**3-$y0**3)/($x0**2+$y0**2+1);
- TEXT(<<'EOF');
- <div id="singlecell-test">
- <script type="text/code">
- #########  Sage code pasted starting here ##########
- var('x,y,z')
+DOCUMENT();
- @interact(layout=dict(top=[['x0'],['y0']],
- bottom=[['N'],['zoom_in']]))
- def _(N=slider(5,100,1,10,label='Number of Contours'),
-         zoom_in=checkbox(false,label='Zoom in'),
-         x0=input_box(0,width=10,label='x coordinate of center'),
-         y0=input_box(0,width=10,label='y coordinate of center')):
-     f=(x^3-y^3)/(x^2+y^2+1)
-     offset = floor(10*random())/20
-     if zoom_in:
-         surface = contour_plot(f,(x,x0-offset-1/10,x0+1/10),(y,y0-1/10,y0+offset+1/10), cmap=True,colorbar=True,fill=False,contours=N)
-     else:
-         surface = contour_plot(f,(x,-3,3),(y,-3,3),cmap=True,colorbar=True,fill=False,contours=N)
-     limit_point = point((x0,y0),color='red',size=30)
-     html.table([[surface+limit_point]])
-     html('Contour Plot of $f(x,y)$ around $(%s'%str(x0)+',%s'%str(y0)+')$')
- ##############  End of Sage Code ######################
-  </script>
-  </div>
-  <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">
- $(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
-                               // initialize Single Cell instances
-   });
-   </script>
- EOF
- ############### Below is the normal WebWork pg stuff #####################
- 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) \}
- $PAR
- END_TEXT
- Context()->normalStrings;
- #  need to add reasonable approximation error of about 0.1 or so.
- ANS( Compute($f0)->cmp() );
- ENDDOCUMENT();        # This should be the last executable line in the problem.
-To pass perl variables to the sage block if you need to from the problem initialization use:
+loadMacros(
+"PGstandard.pl",
+"MathObjects.pl",
+"sage.pl"
+);
-:: TEXT(<<EOF);
+TEXT(beginproblem());
-where <<EOF allows interpolation
+Context("Numeric");
-otherwise use:
+#######   Answers to check by WeBWorK go in the list below.
-:: TEXT(<<'EOF');
+$ansList = List("(pi)");
-where 'EOF' tells perl not to interpolate variables
+#######   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.
+ </nowiki>
+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 ==
+* [[Sage Embedding]]
+[[Category:Developers]]

Sage in WeBWorK: Difference between revisions

Latest revision as of 15:42, 24 June 2013

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