Difference between revisions of "Sage in WeBWorK"

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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();
  
  +
loadMacros(
−
 
  +
"PGstandard.pl",
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loadMacros(
  
  +
"MathObjects.pl",
−
"PGstandard.pl",
 +
"sage.pl"
−
"PGchoicemacros.pl",
 +
);
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"MathObjects.pl",
 +
−
);
 +
TEXT(beginproblem());
−
+
−
Context()->strings->add(none=>{});
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Context("Numeric");
−
+
−
TEXT(beginproblem());
+
####### Answers to check by WeBWorK go in the list below.
−
+
−
$x0 = non_zero_random(-2,2,1);
+
$ansList = List("(pi)");
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$y0 = non_zero_random(-2,2,1);
+
−
+
####### Possible Upper WeBWorK text
−
$f0 = ($x0**3-$y0**3)/($x0**2+$y0**2+1);
 +
−
+
Context()->texStrings;
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TEXT(<<EOF);
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BEGIN_TEXT
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<div id="singlecell-test"><script type="text/code">
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−
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This is where WeBWorK problem text above the sage cell goes.
−
+
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######### Sage code pasted starting here ##########
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END_TEXT
−
+
Context()->normalStrings;
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var('x,y,t,s')
 +
−
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#### Sage Cell Server
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#
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#### Paste your code below fixing @ and $
−
+
#### Store any answers to send back as a list using the function below.
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M=x*y
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#### making certain that is tabbed over correctly
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N=-y
 +
  +
$SageCode = <<SAGE_CODE;
  +
  +
var('a')
  +
a = pi
  +
record_answer((a))
  +
  +
SAGE_CODE
  +
  +
Sage(
  +
SageCode=>$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.
 
 
−
@interact(layout=dict(left= [['x0'],['y0'],['delx'],['dely']],
  
  +
</nowiki>
−
bottom=[['xx'],['yy']]))
  
  +
−
def _( x0 = input_box(0,width=5,label='$x_0$'),
  
  +
The example shows how to pass perl variables from the problem initialization into the sage block.
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y0 = input_box(0,width=5,label='$y_0$'),
  
  +
−
delx = input_box(1,width=5,label='$\Delta{x}$'),
  
  +
:: TEXT(<<SAGE_CODE);
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dely = input_box(1,width=5,label='$\Delta{y}$'),
  
−
xx = range_slider(-5, 5, 1, default=(-2,2), label='x Range'),
  
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yy = range_slider(-5, 5, 1, default=(-1,3), label='y Range')):
  
−
 
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G = plot_vector_field((M,N),(x,xx[0],xx[1]),(y,yy[0],yy[1]),aspect_ratio=true)
  
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G += arrow((x0,y0),(x0+delx,y0+dely))
  
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show(G)
  
−
 
−
 
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############## End of Sage Code ######################
 
−
 
−
 
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</script></div>
  
−
 
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<script type="text/javascript" src="http://sagemath.org:5467/static/jquery-1.5.min.js"></script>
  
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<script type="text/javascript" src="http://sagemath.org:5467/embedded_singlecell.js"></script>
 
−
 
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<script type="text/javascript">
  
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$(function() { // load only when the page is loaded
  
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var makecells = function() {
  
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singlecell.makeSinglecell({
  
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inputLocation: "#singlecell-test",
  
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editor: "codemirror",
  
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hide: ["editor","computationID","files","messages","sageMode"],
  
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evalButtonText: "Start/Restart",
  
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replaceOutput: true});
  
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}
  
−
 
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singlecell.init(makecells); // load Single Cell libraries and then
  
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// initialize Single Cell instances
  
−
 
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});
  
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</script>
  
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EOF
  
−
 
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############### Below is the normal WebWork pg stuff #####################
  
−
 
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Context()->texStrings;
  
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BEGIN_TEXT
  
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Using the contour plot below, determine the range value of the illustrated function at \( ($x0,$y0) \).
  
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$BR $BR
  
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\( f($x0,$y0) = \)\{ ans_rule(15) \}
 
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$PAR
  
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END_TEXT
  
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Context()->normalStrings;
  
−
 
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# need to add reasonable approximation error of about 0.1 or so.
  
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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:
  
  +
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');
   
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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.
   
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:: TEXT(<<'EOF');
  
  +
== See Also ==
  +
* [[Sage Embedding]]
   
−
where 'EOF' tells perl not to interpolate variables
  
  +
[[Category:Developers]]

Latest revision as of 10:42, 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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