Difference between revisions of "Sage in WeBWorK"
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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://sagemath.org:5467 |
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<nowiki> |
<nowiki> |
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− | ## |
+ | ## Template for calling Sage from within a WebWork pg file |
− | ## |
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DOCUMENT(); |
DOCUMENT(); |
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"MathObjects.pl", |
"MathObjects.pl", |
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); |
); |
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− | |||
− | Context()->strings->add(none=>{}); |
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− | TEXT(beginproblem()); |
+ | TEXT(beginproblem()); |
− | $x0 = non_zero_random(-2,2,1); |
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+ | # Regular WebWork setup |
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− | $y0 = non_zero_random(-2,2,1); |
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− | $f0 = ($x0**3-$y0**3)/($x0**2+$y0**2+1); |
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+ | $funct = Compute("x**4"); |
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+ | $funct_diff = $funct->D('x'); |
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+ | TEXT(<<'SAGE_CODE'); |
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+ | <div id="singlecell-test"><script type="text/code"> |
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− | ######### Here is where special coding for Sage starts ######## |
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+ | # Example Sage Python |
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− | TEXT(<<'EOF'); |
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+ | var('x') |
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+ | @interact |
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+ | def _(f = (x^2)): |
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+ | df = diff(f,x,1) |
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+ | html('$f \prime (x) = %s$'%str(latex(df)) ) |
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− | <div id="singlecell-test"> |
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+ | # End of Sage code - Start of scripts that call the Sage single-cell server |
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− | <script type="text/code"> |
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− | |||
− | ######### Actual Sage code pasted starting here ########## |
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− | ######### This code should work in regular Sage ########## |
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+ | </script></div> |
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− | var('x,y,z') |
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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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− | @interact(layout=dict(top=[['x0'],['y0']], |
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+ | <script type="text/javascript"> |
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− | bottom=[['N'],['zoom_in']])) |
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− | def _(N=slider(5,100,1,10,label='Number of Contours'), |
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− | zoom_in=checkbox(false,label='Zoom in'), |
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− | x0=input_box(0,width=10,label='x coordinate of center'), |
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− | y0=input_box(0,width=10,label='y coordinate of center')): |
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− | |||
− | |||
− | f=(x^3-y^3)/(x^2+y^2+1) |
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− | offset = floor(10*random())/20 |
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− | |||
− | if zoom_in: |
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− | 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) |
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− | else: |
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− | surface = contour_plot(f,(x,-3,3),(y,-3,3),cmap=True,colorbar=True,fill=False,contours=N) |
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− | limit_point = point((x0,y0),color='red',size=30) |
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− | |||
− | html.table([[surface+limit_point]]) |
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− | html('Contour Plot of $f(x,y)$ around $(%s'%str(x0)+',%s'%str(y0)+')$') |
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− | |||
− | |||
− | ############## End of Sage Code ###################### |
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− | |||
− | |||
− | ############## Necessary code for calling the single-cell server ########## |
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− | |||
− | </script> |
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− | </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 |
$(function() { // load only when the page is loaded |
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var makecells = function() { |
var makecells = function() { |
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hide: ["editor","computationID","files","messages","sageMode"], |
hide: ["editor","computationID","files","messages","sageMode"], |
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evalButtonText: "Start/Restart", |
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 |
singlecell.init(makecells); // load Single Cell libraries and then |
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}); |
}); |
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</script> |
</script> |
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− | EOF |
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+ | SAGE_CODE |
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+ | # Continue pg file as normal |
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− | ############### End of the Sage specific code ####################### |
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− | |||
− | ############### Below is normal WebWork pg stuff ################ |
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− | |||
− | Context()->texStrings; |
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BEGIN_TEXT |
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 |
$PAR |
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+ | Using Sage above, determine the derivative of \[ f(x) = $funct \]. |
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+ | $PAR |
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+ | \(f '(x) = \) \{ ans_rule(20) \} |
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END_TEXT |
END_TEXT |
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+ | |||
Context()->normalStrings; |
Context()->normalStrings; |
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− | # need to add reasonable approximation error of about 0.1 or so. |
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+ | ANS($funct_diff->cmp() ); |
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− | ANS( Compute($f0)->cmp() ); |
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+ | |||
+ | |||
+ | ENDDOCUMENT(); |
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− | ENDDOCUMENT(); # This should be the last executable line in the problem. |
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</nowiki> |
</nowiki> |
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Revision as of 21:49, 4 January 2012
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
## Template for calling Sage from within a WebWork pg file DOCUMENT(); loadMacros( "PGstandard.pl", "PGchoicemacros.pl", "MathObjects.pl", ); TEXT(beginproblem()); # Regular WebWork setup $funct = Compute("x**4"); $funct_diff = $funct->D('x'); TEXT(<<'SAGE_CODE'); <div id="singlecell-test"><script type="text/code"> # Example Sage Python var('x') @interact def _(f = (x^2)): df = diff(f,x,1) html('$f \prime (x) = %s$'%str(latex(df)) ) # End of Sage code - Start of scripts that call the Sage single-cell server </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> SAGE_CODE # Continue pg file as normal BEGIN_TEXT $PAR Using Sage above, determine the derivative of \[ f(x) = $funct \]. $PAR \(f '(x) = \) \{ ans_rule(20) \} END_TEXT Context()->normalStrings; ANS($funct_diff->cmp() ); ENDDOCUMENT();
To pass perl variables to the sage block if you need to from the problem initialization use:
- TEXT(<<EOF);
where <<EOF allows interpolation
otherwise use:
- TEXT(<<'EOF');
where 'EOF' tells perl not to interpolate variables