AskSage

Using the Sage Cell Server

This PG code shows how to embed a call to the Sage Cell Server from within a problem.

Problem Techniques Index

PG problem file	Explanation
loadMacros( "PGstandard.pl", "MathObjects.pl", );	No additional macros are needed to use the AskSage() function, but as of now it is part of the development version of pg and not part of the current WeBWorK release.
############################################### ## ## pg initializations and regular WeBWorK code Context("Matrix"); my $rows = random(3,4); my $columns = random(4,5); my $rank = random(2,3);	The WeBWorK set up for the problem is the same.
$SageCode1=<<END; print random_matrix(QQ,$rows,$columns,algorithm='echelonizable',rank=$rank).rows() END $SageCode2 =<<END; print matrix(QQ,$sageReply1).rref().rows() END	$SageCode = <<END; denotes the beginning of a block of Sage python code. This will be paired at the end with and ending END which must be left-justified. This portion will create a perl scalar variable $SageCode which contains the sage code.
$sageReply1 = AskSage($SageCode1,{seed=>$problemSeed}); $M = Matrix($sageReply1); $sageReply2 = AskSage($SageCode2); $ans = Matrix($sageReply2);	Calling AskSage(): The first argument to AskSage() must be sage code. After that, you may optionally send a seed value to sage's set_random_seed() function and/or send a url pointing to a sage cell web-service handler. If no url is sent, then AskSage() uses as a default url => 'https://sagecell.sagemath.org/service'. Notice that we convert sage's replies to a MathObjects so that we can take advantage of WeBWorK's built in answer checking, display capbilities, etc.
Context()->texStrings; BEGIN_TEXT Row reduce \( $M \) $BR \{ $ans->ans_array\} END_TEXT Context()->normalStrings; ANS($ans->cmp()); ENDDOCUMENT();	Now we display the problem and check the answer as in a typical WeBWorK problem.

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