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 http://sagemath.org:5467
 +
For use within WebWork, a special "single-cell" version of Sage is located at http://sagecell.sagemath.org
 
<nowiki>
  
<nowiki>
−
## First Homework Problem File for
  
  +
## Template for calling Sage from within a WebWork pg file
−
## Calculus
  
  +
−
## Partial Derivatives
  
  +
## BEGIN_DESCRIPTION
−
## Unit 1
  
  +
## Sample problem embedding Sage in WW
−
##
 
  +
## END_DESCRIPTION
   
 
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.
   
  +
$ansList = List("(pi)");
   
−
######### Here is where special coding for Sage starts ########
  
  +
####### Possible Upper WeBWorK text
−
TEXT(<<'EOF');
  
   
  +
Context()->texStrings;
  +
BEGIN_TEXT
   
−
<div id="singlecell-test">
  
  +
This is where WeBWorK problem text above the sage cell goes.
−
<script type="text/code">
  
−
 
−
######### Actual Sage code pasted starting here ##########
  
−
######### This code should work in regular Sage ##########
  
   
  +
END_TEXT
  +
Context()->normalStrings;
   
−
var('x,y,z')
  
  +
#### 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
   
−
@interact(layout=dict(top=[['x0'],['y0']],
 
  +
$SageCode = <<SAGE_CODE;
−
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')):
  
   
  +
var('a')
  +
a = pi
  +
record_answer((a))
   
−
f=(x^3-y^3)/(x^2+y^2+1)
  
  +
SAGE_CODE
−
offset = floor(10*random())/20
  
   
−
if zoom_in:
  
  +
Sage(
−
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)
 
  +
SageCode=>$SageCode,
−
else:
  
  +
AutoEvaluateCell=>'true'
−
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 $(%s'%str(x0)+',%s'%str(y0)+')$')
  
   
  +
####### WeBWorK text display following the Sage cell
   
−
############## End of Sage Code ######################
 
−  
−  
−
############## More stuff to make sage work ##########
  
−  
−
</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
  
−  
−  
−
############### End of the Sage specific code #######################
 
−  
−
############### Below is the normal WebWork pg stuff ################
  
−
 
 
Context()->texStrings;
  
Context()->texStrings;
 
BEGIN_TEXT
  
BEGIN_TEXT
−
Using the contour plot below, determine the range value of the illustrated function at \( ($x0,$y0) \).
  
  +
−
$BR $BR
  
  +
When you are comfortable with the coefficients that you have chosen, press
−
\( f($x0,$y0) = \)\{ ans_rule(15) \}
 
  +
the submit button below.
−
$PAR
  
  +
 
END_TEXT
  
END_TEXT
 
Context()->normalStrings;
  
Context()->normalStrings;
   
−
# need to add reasonable approximation error of about 0.1 or so.
  
  +
######### Answer Evaluation
−
ANS( Compute($f0)->cmp() );
  
  +
  +
$showPartialCorrectAnswers = 1;
  +
NAMED_ANS( sageAnswer => $ansList->cmp );
   
 
ENDDOCUMENT(); # This should be the last executable line in the problem.
  
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);
  +
  +
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 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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