version 1.97, 2005/03/31 14:43:13
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version 1.176, 2019/04/03 21:37:11
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Line 33 $pi=atan2(1,1)*4;
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Line 33 $pi=atan2(1,1)*4;
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$rad2deg=180.0/$pi; |
$rad2deg=180.0/$pi; |
$deg2rad=$pi/180.0; |
$deg2rad=$pi/180.0; |
$"=' '; |
$"=' '; |
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use strict; |
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{ |
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my $n = 0; |
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my $total = 0; |
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my $num_left = 0; |
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my @order; |
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my $type; |
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sub init_permutation { |
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my ($size,$requested_type) = @_; |
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@order = (0..$size-1); |
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$n = $size; |
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$type = $requested_type; |
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if ($type eq 'ordered') { |
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$total = $num_left = 1; |
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} elsif ($type eq 'unordered') { |
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$total = $num_left = &factorial($size); |
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} else { |
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die("Unkown type: $type"); |
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} |
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} |
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sub get_next_permutation { |
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if ($num_left == $total) { |
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$num_left--; |
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return \@order; |
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} |
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# Find largest index j with a[j] < a[j+1] |
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my $j = scalar(@order) - 2; |
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while ($order[$j] > $order[$j+1]) { |
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$j--; |
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} |
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# Find index k such that a[k] is smallest integer |
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# greater than a[j] to the right of a[j] |
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my $k = scalar(@order) - 1; |
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while ($order[$j] > $order[$k]) { |
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$k--; |
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} |
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# Interchange a[j] and a[k] |
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@order[($k,$j)] = @order[($j,$k)]; |
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# Put tail end of permutation after jth position in increasing order |
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my $r = scalar(@order) - 1; |
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my $s = $j + 1; |
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while ($r > $s) { |
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@order[($s,$r)]=@order[($r,$s)]; |
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$r--; |
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$s++; |
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} |
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$num_left--; |
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return(\@order); |
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} |
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sub get_permutations_left { |
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return $num_left; |
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} |
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} |
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sub check_commas { |
sub check_commas { |
my ($response)=@_; |
my ($response)=@_; |
Line 60 sub check_commas {
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Line 126 sub check_commas {
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return 1; |
return 1; |
} |
} |
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sub caparesponse_check { |
sub caparesponse_check { |
my ($answer,$response)=@_; |
my ($answer,$response)=@_; |
#not properly used yet: calc |
#not properly used yet: calc |
Line 76 sub caparesponse_check {
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Line 143 sub caparesponse_check {
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my $sig_lbound=''; #done |
my $sig_lbound=''; #done |
my $sig_ubound=''; #done |
my $sig_ubound=''; #done |
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#type's definitons come from capaParser.h |
#type's definitons come from capaParser.h |
my $message=''; |
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#remove leading and trailing whitespace |
#remove leading and trailing whitespace |
if (!defined($response)) { |
if (!defined($response)) { |
$response=''; |
$response=''; |
} |
} |
if ($response=~ /^\s|\s$/) { |
if ($response=~ /^\s|\s$/) { |
$response=~ s:^\s+|\s+$::g; |
$response=~ s:^\s+|\s+$::g; |
$message .="Removed ws now :$response:\n"; |
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} else { |
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$message .="no ws in :$response:\n"; |
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} |
} |
if ($type eq 'cs' || $type eq 'ci' || $type eq 'mc') { |
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#for string answers make surec all places spaces occur, there is |
if ($type eq 'cs' || $type eq 'ci') { |
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#for string answers make sure all places spaces occur, there is |
#really only 1 space, in both the answer and the response |
#really only 1 space, in both the answer and the response |
$answer=~s/ +/ /g; |
$answer=~s/ +/ /g; |
$response=~s/ +/ /g; |
$response=~s/ +/ /g; |
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} elsif ($type eq 'mc') { |
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$answer=~s/[\s,]//g; |
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$response=~s/[\s,]//g; |
} |
} |
if ($type eq 'float' && $unit=~/\$/) { |
if ($type eq 'float' && $unit=~/\$/) { |
if ($response!~/^\$/) { return "NO_UNIT: Missing \$ "; } |
if ($response!~/^\$|\$$/) { return ('NO_UNIT', undef); } |
$response=~s/\$//g; |
$response=~s/\$//g; |
} |
} |
if ($type eq 'float' && $unit=~/\,/ && (&check_commas($response)<0)) { |
if ($type eq 'float' && $unit=~/\,/ && (&check_commas($response)<0)) { |
Line 106 sub caparesponse_check {
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Line 173 sub caparesponse_check {
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$unit=~s/[\$,]//g; |
$unit=~s/[\$,]//g; |
if ($type eq 'float') { $response=~s/,//g; } |
if ($type eq 'float') { $response=~s/,//g; } |
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if (length($response) > 500) { return "TOO_LONG: Answer too long"; } |
if (length($response) > 500) { return ('TOO_LONG',undef); } |
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if ($type eq '' ) { |
if ($type eq '' ) { |
$message .= "Didn't find a type :$type: defaulting\n"; |
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if ( $answer eq ($answer *1.0)) { $type = 2; |
if ( $answer eq ($answer *1.0)) { $type = 2; |
} else { $type = 3; } |
} else { $type = 3; } |
} else { |
} else { |
if ($type eq 'cs') { $type = 4; } |
if ($type eq 'cs') { $type = 4; } |
elsif ($type eq 'ci') { $type = 3 } |
elsif ($type eq 'ci') { $type = 3 } |
elsif ($type eq 'mc') { $type = 5; } |
elsif ($type eq 'mc') { $type = 5; } |
elsif ($type eq 'fml') { $type = 8; } |
elsif ($type eq 'fml') { $type = 8; } |
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elsif ($type eq 'math') { $type = 9; } |
elsif ($type eq 'subj') { $type = 7; } |
elsif ($type eq 'subj') { $type = 7; } |
elsif ($type eq 'float') { $type = 2; } |
elsif ($type eq 'float') { $type = 2; } |
elsif ($type eq 'int') { $type = 1; } |
elsif ($type eq 'int') { $type = 1; } |
else { return "ERROR: Unknown type of answer: $type" } |
else { return ('ERROR', "Unknown type of answer: $type") } |
} |
} |
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my $points; |
my $points; |
Line 128 sub caparesponse_check {
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Line 195 sub caparesponse_check {
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#formula type setup the sample points |
#formula type setup the sample points |
if ($type eq '8') { |
if ($type eq '8') { |
($id_list,$points)=split(/@/,$samples); |
($id_list,$points)=split(/@/,$samples); |
$message.="Found :$id_list:$points: points in $samples\n"; |
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} |
} |
if ($tol eq '') { |
if ($tol eq '') { |
$tol=0.0; |
$tol=0.0; |
Line 145 sub caparesponse_check {
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Line 211 sub caparesponse_check {
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($sig_ubound,$sig_lbound)=&LONCAPA_INTERNAL_get_sigrange($sig); |
($sig_ubound,$sig_lbound)=&LONCAPA_INTERNAL_get_sigrange($sig); |
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my $reterror=""; |
my $reterror=""; |
my $result = &caparesponse_capa_check_answer($response,$answer,$type, |
my $result; |
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if (($type eq '9') || ($type eq '8')) { |
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if ($response=~/\=/) { |
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return ('BAD_FORMULA','Please submit just an expression, not an equation.'); |
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} elsif ($response =~ /\,/ and $response !~ /^\s*\{.*\}\s*$/) { |
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return ('BAD_FORMULA'); |
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} |
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} |
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if ($type eq '9') { |
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$result = &maxima_check(&maxima_cas_formula_fix($response),&maxima_cas_formula_fix($answer),\$reterror); |
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} else { |
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if ($type eq '8') { # fml type |
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$response = &capa_formula_fix($response); |
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$answer = &capa_formula_fix($answer); |
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} |
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$result = &caparesponse_capa_check_answer($response,$answer,$type, |
$tol_type,$tol, |
$tol_type,$tol, |
$sig_lbound,$sig_ubound, |
$sig_lbound,$sig_ubound, |
$ans_fmt,$unit,$calc,$id_list, |
$ans_fmt,$unit,$calc,$id_list, |
$points,$external::randomseed, |
$points,$external::randomseed, |
\$reterror); |
\$reterror); |
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} |
if ($result == '1') { $result='EXACT_ANS'; } |
if ($result == '1') { $result='EXACT_ANS'; } |
elsif ($result == '2') { $result='APPROX_ANS'; } |
elsif ($result == '2') { $result='APPROX_ANS'; } |
elsif ($result == '3') { $result='SIG_FAIL'; } |
elsif ($result == '3') { $result='SIG_FAIL'; } |
Line 172 sub caparesponse_check {
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Line 253 sub caparesponse_check {
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elsif ($result =='15') { $result='UNIT_IRRECONCIBLE'; } |
elsif ($result =='15') { $result='UNIT_IRRECONCIBLE'; } |
else {$result = "ERROR: Unknown Result:$result:$@:";} |
else {$result = "ERROR: Unknown Result:$result:$@:";} |
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return ("$result:\nRetError $reterror:\nAnswer $answer:\nResponse $response:\n type-$type|$tol|$tol_type|$sig:$sig_lbound:$sig_ubound|$unit|\n$message",$reterror); |
return ($result,$reterror); |
} |
} |
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sub caparesponse_check_list { |
sub caparesponse_check_list { |
my $response=$LONCAPA::CAPAresponse_args{'response'}; |
my $responses=$LONCAPA::CAPAresponse_args{'response'}; |
my ($result,@list); |
&LONCAPA_INTERNAL_DEBUG("args ".join(':',%LONCAPA::CAPAresponse_args)); |
@list=@LONCAPA::CAPAresponse_answer; |
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my $aresult=''; |
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my $current_answer; |
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my $answers=join(':',@list); |
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$result.="Got response :$answers:\n"; |
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&LONCAPA_INTERNAL_DEBUG("<blink>Yo!</blink> got ".join(':',%LONCAPA::CAPAresponse_args)); |
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my @responselist; |
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my $type = $LONCAPA::CAPAresponse_args{'type'}; |
my $type = $LONCAPA::CAPAresponse_args{'type'}; |
$result.="Got type :$type:\n"; |
my $answerunit=$LONCAPA::CAPAresponse_args{'unit'}; |
if ($type ne '' && $#list > 0) { |
&LONCAPA_INTERNAL_DEBUG("Got type :$type: answer unit :$answerunit:\n"); |
(@responselist)=split /,/,$response; |
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} else { |
my $preprocess=$LONCAPA::CAPAresponse_args{'preprocess'}; |
(@responselist)=($response); |
$preprocess=~s/^\&//; |
} |
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my $unit=''; |
my $num_input_lines = |
$result.="Initial final response :$responselist['-1']:\n"; |
scalar(@{$LONCAPA::CAPAresponse_answer->{'answers'}}); |
if ($type eq '' || $type eq 'float') { |
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if ($type ne '' ) { |
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if (scalar(@$responses) < $num_input_lines) { |
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return 'MISSING_ANSWER'; |
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} |
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if (scalar(@$responses) > $num_input_lines) { |
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return 'EXTRA_ANSWER'; |
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} |
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} |
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foreach my $which (0..($num_input_lines-1)) { |
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my $answer_size = |
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scalar(@{$LONCAPA::CAPAresponse_answer->{'answers'}[$which]}); |
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if ($type ne '' |
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&& $answer_size > 1) { |
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$responses->[$which]=[split(/,/,$responses->[$which])]; |
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} else { |
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$responses->[$which]=[$responses->[$which]]; |
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} |
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} |
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foreach my $which (0..($num_input_lines-1)) { |
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my $answer_size = |
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scalar(@{$LONCAPA::CAPAresponse_answer->{'answers'}[$which]}); |
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my $response_size = |
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scalar(@{$responses->[$which]}); |
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if ($answer_size > $response_size) { |
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return 'MISSING_ANSWER'; |
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} |
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if ($answer_size < $response_size) { |
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return 'EXTRA_ANSWER'; |
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} |
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} |
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my $unit; |
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my ($allowalgebra)=($LONCAPA::CAPAresponse_args{'allowalgebra'}=~/^(yes|1|on)$/i); |
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if ($type eq 'float' || $type eq '') { |
#for numerical problems split off the unit |
#for numerical problems split off the unit |
if ( $responselist['-1']=~ /(.*[^\s])\s+([^\s]+)/ ) { |
my $part1; |
$responselist['-1']=$1; |
my $part2; |
$unit=$2; |
my $match_algebra = qr{^(.*[^\s])\s+([^\s]+)$}; |
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# FIXME: with the above regexp, algebra with spaces will not be evaluated correctly |
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my $match_numerical_units = qr{^([\d\.\,\s\$]*(?:(?:[xX\*]10[\^\*]*|[eE]*)[\+\-]*\d*)*(?:^|\S)\d+)([\$\s\w\^\*\/\(\)\+\-]*[^\d\.\s\,][\$\s\w\^\*\/\(\)\+\-]*)$}; |
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if ($allowalgebra) { |
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($part1,$part2) = ($responses->[0][-1] =~ /$match_algebra/); |
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} else { |
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($part1,$part2) = ($responses->[0][-1] =~ /$match_numerical_units/); |
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} |
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if (defined($part1) && defined($part2)) { |
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$responses->[0][-1]=$part1; |
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$unit=&capa_formula_fix($part2); |
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my $customunits=$LONCAPA::CAPAresponse_args{'customunits'}; |
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if ($customunits =~ /\S/) { |
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foreach my $replacement (split(/\s*\,\s*/,$customunits)) { |
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my ($which,$what)=split(/\s*\=\s*/,$replacement); |
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if ((defined($which)) && (defined($what))) { |
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$what=&capa_formula_fix($what); |
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$unit=~s/$which/\($what\)/g; |
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} |
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} |
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} |
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if (scalar(@$responses) > 0 && defined $answerunit) { |
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# there are several response values, units should be the same for all |
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$part2 =~ s/^\s+|\s+$//g; |
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for (my $i=1; $i<scalar(@$responses); $i++) { |
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my $element = $responses->[$i][-1]; |
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my ($part1i, $part2i); |
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if ($allowalgebra) { |
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($part1i, $part2i) = ($element =~ /$match_algebra/); |
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} else { |
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($part1i, $part2i) = ($element =~ /$match_numerical_units/); |
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} |
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$part2i =~ s/^\s+|\s+$//g; |
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if (!defined $part2i) { |
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return 'NO_UNIT'; |
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} elsif ($part2i ne $part2) { |
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return ('UNIT_FAIL', "$part2 $part2i"); |
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} else { |
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$responses->[$i][-1] = $part1i; |
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} |
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} |
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} |
} |
} |
} |
} |
$result.="Final final response :$responselist['-1']:$unit:\n"; |
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$result.=":$#list: answers\n"; |
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$unit=~s/\s//; |
$unit=~s/\s//; |
my $i=0; |
my $error; |
my $awards=''; |
foreach my $response (@$responses) { |
my @msgs; |
foreach my $element (@$response) { |
for ($i=0; $i<@list;$i++) { |
# See if we have preprocessor |
my $msg; |
if ($preprocess=~/\S/) { |
$result.="trying answer :$list[$i]:\n"; |
if (defined(&$preprocess)) { |
my $thisanswer=$list[$i]; |
no strict 'refs'; |
$result.="trying answer :$thisanswer:\n"; |
$element=&$preprocess($element,$unit); |
if ($unit eq '') { |
use strict 'refs'; |
($aresult,$msg)=&caparesponse_check($thisanswer,$responselist[$i]); |
} |
} else { |
} |
($aresult,$msg)=&caparesponse_check($thisanswer, |
if (($type eq 'float') || (($type eq '') && ($unit ne ''))) { |
$responselist[$i]." $unit"); |
$element =~ s/\s//g; |
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} |
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my $appendunit=$unit; |
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# Deal with percentages |
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# unit is unit entered by student, answerunit is unit by author |
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# Deprecated: divide answer by 100 if student entered percent, |
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# but author did not. Too much confusion |
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# if (($unit=~/\%/) && ($answerunit ne '%')) { |
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# $element=$element/100; |
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# $appendunit=~s/\%//; |
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# } |
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# Author entered percent, student did not |
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if (($unit!~/\%/) && ($answerunit=~/\%/)) { |
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$element=$element*100; |
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$appendunit='%'.$appendunit; |
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} |
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# Zero does not need a dimension |
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if (($element =~ /^[0\.]+$/) && ($unit!~/\w/) && ($answerunit=~/\w/)) { |
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$appendunit=$answerunit; |
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} |
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# Do the math for the student if allowed |
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if ($allowalgebra) { |
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$element=&cas('maxima',$element); |
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} |
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if ($appendunit ne '') { |
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$element .= " $appendunit"; |
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} |
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&LONCAPA_INTERNAL_DEBUG("Made response element :$element:"); |
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} |
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} |
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foreach my $thisanswer (@{ $LONCAPA::CAPAresponse_answer->{'answers'} }) { |
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if (!defined($thisanswer)) { |
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return ('ERROR','answer was undefined'); |
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} |
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} |
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my $allow_control_char = 0; |
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my $control_chars_removed = 0; |
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my $ansstring; |
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if ($type eq 'cs' || $type eq 'ci') { |
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if (ref($LONCAPA::CAPAresponse_answer->{'answers'}) eq 'ARRAY') { |
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foreach my $strans (@{$LONCAPA::CAPAresponse_answer->{'answers'}}) { |
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if (ref($strans) eq 'ARRAY') { |
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$ansstring = join("\0",@{$strans}); |
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foreach my $item (@{$strans}) { |
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if ($item =~ /[\000-\037]/) { |
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$allow_control_char = 1; |
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} |
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} |
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} |
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} |
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} |
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} |
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# &LONCAPA_INTERNAL_DEBUG(&LONCAPA_INTERNAL_Dumper($responses)); |
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my %memoized; |
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if ($LONCAPA::CAPAresponse_answer->{'type'} eq 'ordered') { |
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for (my $i=0; $i<scalar(@$responses);$i++) { |
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my $answer = $LONCAPA::CAPAresponse_answer->{'answers'}[$i]; |
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my $response = $responses->[$i]; |
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my $key = "$answer\0$response"; |
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my (@awards,@msgs); |
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for (my $j=0; $j<scalar(@$response); $j++) { |
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if ($type eq 'cs' || $type eq 'ci') { |
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unless ($allow_control_char) { |
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if ($response->[$j] =~ /[\000-\037]/) { |
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$response->[$j] =~ s/[\000-\037]//g; |
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$control_chars_removed = 1; |
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} |
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} |
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} |
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# See if we have preprocessor for string responses |
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if (($preprocess=~/\S/) && ($type eq 'cs' || $type eq 'ci')) { |
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if (defined(&$preprocess)) { |
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no strict 'refs'; |
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$response->[$j]=&$preprocess($response->[$j]); |
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use strict 'refs'; |
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} |
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} |
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my ($award,$msg) = &caparesponse_check($answer->[$j], |
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$response->[$j]); |
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if ($type eq 'cs' || $type eq 'ci') { |
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$error = &verify_stringresponse($type,$award,$response->[$j], |
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$answer->[$j]); |
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} |
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push(@awards,$award); |
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push(@msgs, $msg); |
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} |
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my ($award,$msg) = |
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&LONCAPA_INTERNAL_FINALIZEAWARDS(\@awards,\@msgs); |
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$memoized{$key} = [$award,$msg]; |
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} |
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} else { |
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#FIXME broken with unorder responses where one is a <value> |
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# and the other is a <vector> (need to delay parse til |
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# inside the loop?) |
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foreach my $response (@$responses) { |
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my $response_size = scalar(@{$response}); |
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foreach my $answer (@{ $LONCAPA::CAPAresponse_answer->{'answers'} }) { |
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my $key = "$answer\0$response"; |
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my $answer_size = scalar(@{$answer}); |
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my ($award,$msg); |
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if ($answer_size > $response_size) { |
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$award = 'MISSING_ANSWER'; |
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} elsif ($answer_size < $response_size) { |
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$award = 'EXTRA_ANSWER'; |
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} else { |
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my (@awards,@msgs); |
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for (my $j=0; $j<scalar(@$response); $j++) { |
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if ($type eq 'cs' || $type eq 'ci') { |
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unless ($allow_control_char) { |
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if ($response->[$j] =~ /[\000-\037]/) { |
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$response->[$j] =~ s/[\000-\037]//g; |
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$control_chars_removed = 1; |
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} |
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} |
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} |
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# See if we have preprocessor |
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if (($preprocess=~/\S/) && ($type eq 'cs' || $type eq 'ci')) { |
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if (defined(&$preprocess)) { |
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no strict 'refs'; |
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$response->[$j]=&$preprocess($response->[$j]); |
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use strict 'refs'; |
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} |
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} |
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|
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my ($award,$msg) = &caparesponse_check($answer->[$j], |
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$response->[$j]); |
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if ($type eq 'cs' || $type eq 'ci') { |
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$error = &verify_stringresponse($type,$award,$response->[$j], |
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$answer->[$j]); |
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} |
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push(@awards,$award); |
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push(@msgs, $msg); |
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} |
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($award,$msg) = |
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&LONCAPA_INTERNAL_FINALIZEAWARDS(\@awards,\@msgs); |
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} |
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$memoized{$key} = [$award,$msg]; |
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} |
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} |
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} |
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|
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my ($final_award,$final_msg); |
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&init_permutation(scalar(@$responses), |
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$LONCAPA::CAPAresponse_answer->{'type'}); |
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|
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# possible FIXMEs |
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# - significant time is spent calling non-safe space routine |
|
# from safe space |
|
# - early outs could be possible with classifying awards is to stratas |
|
# and stopping as so as hitting the top strata |
|
# - some early outs also might be possible with check ing the |
|
# memoized hash of results (is correct even possible? etc.) |
|
|
|
my (@final_awards,@final_msg); |
|
while( &get_permutations_left() ) { |
|
my $order = &get_next_permutation(); |
|
my (@awards, @msgs, $i); |
|
foreach my $thisanswer (@{ $LONCAPA::CAPAresponse_answer->{'answers'} }) { |
|
my $key = "$thisanswer\0".$responses->[$order->[$i]]; |
|
push(@awards,$memoized{$key}[0]); |
|
push(@msgs,$memoized{$key}[1]); |
|
$i++; |
|
|
} |
} |
my ($temp)=split /:/, $aresult; |
&LONCAPA_INTERNAL_DEBUG(" all awards ".join(':',@awards)); |
$awards.="$temp,"; |
|
$result.=$aresult; |
my ($possible_award,$possible_msg) = |
push(@msgs,$msg); |
&LONCAPA_INTERNAL_FINALIZEAWARDS(\@awards,\@msgs); |
|
&LONCAPA_INTERNAL_DEBUG(" pos awards ".$possible_award); |
|
push(@final_awards,$possible_award); |
|
push(@final_msg,$possible_msg); |
|
} |
|
|
|
&LONCAPA_INTERNAL_DEBUG(" all final_awards ".join(':',@final_awards)); |
|
my ($final_award,$final_msg) = |
|
&LONCAPA_INTERNAL_FINALIZEAWARDS(\@final_awards,\@final_msg,undef,1); |
|
return ($final_award,$final_msg,$error,$control_chars_removed,$ansstring); |
|
} |
|
|
|
sub verify_stringresponse { |
|
my ($type,$award,$resp,$ans) = @_; |
|
return if ($award eq 'EXACT_ANS'); |
|
my $error; |
|
if ($resp =~ /^\s|\s$/) { |
|
$resp =~ s{^\s+|\s+$}{}g; |
|
} |
|
if ($ans =~ /^\s|\s$/) { |
|
$ans =~ s{^\s+|\s+$}{}g; |
|
} |
|
if ($type eq 'ci') { |
|
$resp = lc($resp); |
|
$ans = lc($ans); |
|
} |
|
if ($resp eq $ans) { |
|
if ($award eq 'INCORRECT') { |
|
$error = 'MISGRADED'; |
|
} |
|
} |
|
return $error; |
|
} |
|
|
|
sub cas { |
|
my ($system,$input,$library)=@_; |
|
my $output; |
|
my $dump; |
|
if ($system eq 'maxima') { |
|
$output=&maxima_eval($input,$library); |
|
} elsif ($system eq 'R') { |
|
($output,$dump)=&r_eval($input,$library,0); |
|
} else { |
|
$output='Error: unrecognized CAS'; |
|
} |
|
return $output; |
|
} |
|
|
|
sub cas_hashref { |
|
my ($system,$input,$library)=@_; |
|
if ($system eq 'maxima') { |
|
return 'Error: unsupported CAS'; |
|
} elsif ($system eq 'R') { |
|
return &r_eval($input,$library,1); |
|
} else { |
|
return 'Error: unrecognized CAS'; |
} |
} |
chop $awards; |
} |
return ("$awards:\n$result",@msgs); |
|
|
# |
|
# cas_hashref_entry takes a list of indices and gets the entry in a hash generated by Rreturn. |
|
# Call: cas_hashref_entry(Rvalue, index1, index2, ...) where Rvalue is a hash returned by Rreturn. |
|
# Rentry will return the first scalar value it encounters (ignoring excess indices). |
|
# If an invalid key is given, it returns undef. |
|
# |
|
sub cas_hashref_entry { |
|
return &Rentry(@_); |
|
} |
|
|
|
# |
|
# cas_hashref_array takes a list of indices and gets a column array from a hash generated by Rreturn. |
|
# Call: cas_hashref_array(Rvalue, index1, index2, ...) where Rvalue is a hash returned by Rreturn. |
|
# If an invalid key is given, it returns undef. |
|
# |
|
sub cas_hashref_array { |
|
return &Rarray(@_); |
} |
} |
|
|
sub tex { |
sub tex { |
Line 269 sub hinton {
|
Line 656 sub hinton {
|
sub random { |
sub random { |
my ($start,$end,$step)=@_; |
my ($start,$end,$step)=@_; |
if ( ! $hidden::RANDOMINIT ) { |
if ( ! $hidden::RANDOMINIT ) { |
if ($external::randomseed == 0) { $external::randomseed=1; } |
if ($external::randomseed == 0) { $external::randomseed=1; } |
if ($external::randomseed =~/,/) { |
if ($external::randomseed =~/,/) { |
my ($num1,$num2)=split(/,/,$external::randomseed); |
my ($num1,$num2) = map { abs($_); } split(/,/,$external::randomseed); |
&random_set_seed(1,abs($num1)); |
if ((!$num1) || ($num1 > 2147483398)) { |
} elsif ($external::randomseed =~/:/) { |
&random_set_seed_from_phrase($external::randomseed); |
my ($num1,$num2)=split(/:/,$external::randomseed); |
} else { |
&random_set_seed(abs($num1),abs($num2)); |
&random_set_seed(1,$num1); |
} else { |
} |
&random_set_seed(1,int(abs($external::randomseed))); |
} elsif ($external::randomseed =~/:/) { |
} |
my ($num1,$num2) = map { abs($_); } split(/:/,$external::randomseed); |
|
if ((!$num1) || (!$num2) || ($num1 > 2147483562) || ($num2 > 2147483398)) { |
|
&random_set_seed_from_phrase($external::randomseed); |
|
} else { |
|
&random_set_seed($num1,$num2); |
|
} |
|
} else { |
|
my $num1 = int(abs($external::randomseed)); |
|
if ((!$num1) || ($num1 > 2147483398)) { |
|
&random_set_seed_from_phrase($external::randomseed); |
|
} else { |
|
&random_set_seed(1,$num1); |
|
} |
|
} |
&math_random_uniform(); |
&math_random_uniform(); |
$hidden::RANDOMINIT=1; |
$hidden::RANDOMINIT=1; |
} |
} |
Line 447 sub random_negative_binomial {
|
Line 847 sub random_negative_binomial {
|
return @retArray; |
return @retArray; |
} |
} |
|
|
sub abs { abs(shift) } |
sub abs { CORE::abs(shift) } |
sub sin { sin(shift) } |
sub sin { CORE::sin(shift) } |
sub cos { cos(shift) } |
sub cos { CORE::cos(shift) } |
sub exp { exp(shift) } |
sub exp { CORE::exp(shift) } |
sub int { int(shift) } |
sub int { CORE::int(shift) } |
sub log { log(shift) } |
sub log { CORE::log(shift) } |
sub atan2 { atan2($_[0],$_[1]) } |
sub ln { CORE::log(shift) } |
sub sqrt { sqrt(shift) } |
sub atan2 { CORE::atan2($_[0],$_[1]) } |
|
sub sqrt { CORE::sqrt(shift) } |
|
|
sub tan { CORE::sin($_[0]) / CORE::cos($_[0]) } |
sub tan { CORE::sin($_[0]) / CORE::cos($_[0]) } |
#sub atan { atan2($_[0], 1); } |
#sub atan { atan2($_[0], 1); } |
Line 518 sub format {
|
Line 919 sub format {
|
#if ($options =~ /\$/) { $dollamode=1; } |
#if ($options =~ /\$/) { $dollamode=1; } |
#if ($options =~ /,/) { $commamode=1; } |
#if ($options =~ /,/) { $commamode=1; } |
if ($options =~ /\./) { $alwaysperiod=1; } |
if ($options =~ /\./) { $alwaysperiod=1; } |
|
my $result; |
if ($fmt=~/s$/i) { |
if ($fmt=~/s$/i) { |
$result=&format_significant_figures($value,$fmt); |
$result=&format_significant_figures($value,$fmt); |
} else { |
} else { |
$fmt=~s/e/E/g; |
$fmt=~s/e/E/g; |
my $result=sprintf('%.'.$fmt,$value); |
$result=sprintf('%.'.$fmt,$value); |
if ($alwaysperiod && $fmt eq '0f') { $result .='.'; } |
if ($alwaysperiod && $fmt eq '0f') { $result .='.'; } |
$result=~s/(E[+-]*)0/$1/; |
$result=~s/(E[+-]*)0/$1/; |
} |
} |
Line 537 sub chemparse {
|
Line 939 sub chemparse {
|
my $formula = ''; |
my $formula = ''; |
foreach my $token (@tokens) { |
foreach my $token (@tokens) { |
if ($token eq '->' ) { |
if ($token eq '->' ) { |
$formula .= '<m>\ensuremath{\rightarrow}</m> '; |
if ($external::target eq 'web') { |
|
$formula .= '→ '; |
|
} else { |
|
$formula .= '<m>\ensuremath{\rightarrow}</m> '; |
|
} |
next; |
next; |
} |
} |
if ($token eq '<-' ) { |
if ($token eq '<-' ) { |
$formula .= '<m>\ensuremath{\leftarrow}</m> '; |
if ($external::target eq 'web') { |
|
$formula .= '← '; |
|
} else { |
|
$formula .= '<m>\ensuremath{\leftarrow}</m> '; |
|
} |
next; |
next; |
} |
} |
if ($token eq '<=>') { |
if ($token eq '<=>') { |
Line 579 sub chemparse {
|
Line 989 sub chemparse {
|
return &xmlparse($formula); |
return &xmlparse($formula); |
} |
} |
|
|
|
sub conv_eng_format { |
|
my ($ans,$baseunit)=@_; |
|
my ($value,$answer,$unit); |
|
$baseunit =~ s{[^\w/\-\.]}{}g; |
|
eval { |
|
$value = &number_format_pref($ans); |
|
}; |
|
my ($answer,$prefix) = ($value=~ /^(.+)(\w)$/); |
|
my $unit = $prefix.$baseunit; |
|
return($answer,$unit); |
|
} |
|
|
sub prettyprint { |
sub prettyprint { |
my ($value,$fmt,$target)=@_; |
my ($value,$fmt,$target)=@_; |
my $result; |
my $result; |
Line 632 sub prettyprint {
|
Line 1054 sub prettyprint {
|
sub commaformat { |
sub commaformat { |
my ($number,$target) = @_; |
my ($number,$target) = @_; |
if ($number =~ /\./) { |
if ($number =~ /\./) { |
while ($number =~ /([^\.,]+)([^\.,][^\.,][^\.,])([,0-9]*\.[0-9]*)$/) { |
while ($number =~ /([^0-9]*)([0-9]+)([^\.,][^\.,][^\.,])([,0-9]*\.[0-9]*)$/) { |
$number = $1.','.$2.$3; |
$number = $1.$2.','.$3.$4; |
} |
} |
} else { |
} else { |
while ($number =~ /([^,]+)([^,][^,][^,])([,0-9]*)$/) { |
while ($number =~ /^([^0-9]*)([0-9]+)([^,][^,][^,])([,0-9]*)$/) { |
$number = $1.','.$2.$3; |
$number = $1.$2.','.$3.$4; |
} |
} |
} |
} |
return $number; |
return $number; |
Line 678 sub format_significant_figures {
|
Line 1100 sub format_significant_figures {
|
my ($zeros) = ($xint =~ /(0+)$/); |
my ($zeros) = ($xint =~ /(0+)$/); |
# return number to original magnitude |
# return number to original magnitude |
my $numSig = $xint*10**($x10-$sig+$power); |
my $numSig = $xint*10**($x10-$sig+$power); |
# insert trailing zero's if have decimal point |
if ($numSig =~ /^(\d+)\.(\d+)/) { |
$numSig =~ s/^(\d+)\.(\d+)(\e?(.*)?)$/$1\.$2$zeros$3/; |
# insert trailing zero's if have decimal point |
|
my @digarray = split('',$1.$2); |
|
my $sigcount; |
|
while (@digarray > 0) { |
|
my $item = shift(@digarray); |
|
if ($item) { |
|
$sigcount = 1 + @digarray; |
|
last; |
|
} |
|
} |
|
if (($sigcount) && ($sig >= $sigcount)) { |
|
$zeros = substr($zeros,0,($sig - $sigcount)); |
|
} |
|
$numSig =~ s/^(\d+)\.(\d+)(\e?(.*)?)$/$1\.$2$zeros$3/; |
|
} else { |
|
if ($numSig =~ /^(\d+)e([\+\-]\d+)$/i) { |
|
my $pre_exp = $1; |
|
my $exponent = $2; |
|
$numSig = $pre_exp.'.'.$zeros.'E'.$exponent; |
|
} elsif ($numSig =~ /0$/) { |
|
# add decimal pt for number ending with 0 and length == # of sig figs |
|
if (length($numSig) == $sig) { |
|
$numSig.='.'; |
|
} elsif (length($numSig) > $sig) { |
|
# exponential form for number ending with 0 and length > # of sig figs |
|
my $fmtsig = $sig-1; |
|
if ($fmtsig) { |
|
$numSig = sprintf('%.'.$fmtsig.'E',$numSig); |
|
} |
|
} elsif (length($numSig) < $sig) { |
|
$numSig.='.'.substr($zeros,0,($sig-length($numSig))); |
|
} |
|
} else { |
|
if (length($numSig) < $sig) { |
|
$numSig.='.'.substr($zeros,0,($sig-length($numSig))); |
|
} |
|
} |
|
} |
# return number with sign |
# return number with sign |
return $sign.$numSig; |
return $sign.$numSig; |
|
|
} |
} |
|
|
sub map { |
sub map { |
Line 796 sub class {
|
Line 1254 sub class {
|
return $course; |
return $course; |
} |
} |
|
|
|
sub classid { |
|
my $courseid = &EXT('request.course.id'); |
|
$courseid = '' if $courseid eq ""; |
|
return $courseid; |
|
} |
|
|
|
sub firstname { |
|
my $firstname = &EXT('environment.firstname'); |
|
$firstname = '' if $firstname eq ""; |
|
return $firstname; |
|
} |
|
|
|
sub middlename { |
|
my $middlename = &EXT('environment.middlename'); |
|
$middlename = '' if $middlename eq ""; |
|
return $middlename; |
|
} |
|
|
|
sub lastname { |
|
my $lastname = &EXT('environment.lastname'); |
|
$lastname = '' if $lastname eq ""; |
|
return $lastname; |
|
} |
|
|
sub sec { |
sub sec { |
my $sec = &EXT('request.course.sec'); |
my $sec = &EXT('request.course.sec'); |
$sec = '' if $sec eq ""; |
$sec = '' if $sec eq ""; |
return $sec; |
return $sec; |
} |
} |
|
|
sub open_date { |
sub submission { |
my @dc = split(/\s+/,localtime(&EXT('resource.0.opendate'))); |
my ($partid,$responseid,$subnumber,$encode,$cleanupnum,$mapalias)=@_; |
return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969); |
my $sub=''; |
my @hm = split(/:/,$dc[3]); |
if ($subnumber) { $sub=$subnumber.':'; } |
my $ampm = " am"; |
my $output = |
if ($hm[0] > 12) { |
&EXT('user.resource.'.$sub.'resource.'.$partid.'.'.$responseid.'.submission',$mapalias); |
$hm[0]-=12; |
if (ref($output) eq 'ARRAY') { |
$ampm = " pm"; |
my @items = @{$output}; |
} |
if ($encode) { |
return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm; |
@items = map { &encode_response($_); } @items; |
} |
} |
|
if (ref($cleanupnum) eq 'HASH') { |
sub due_date { |
@items = map { &cleanup_numerical_response($cleanupnum,$_); } @items; |
my @dc = split(/\s+/,localtime(&EXT('resource.0.duedate'))); |
} |
return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969); |
return \@items; |
my @hm = split(/:/,$dc[3]); |
} else { |
my $ampm = " am"; |
if ($encode) { |
if ($hm[0] > 12) { |
$output = &encode_response($output); |
$hm[0]-=12; |
} |
$ampm = " pm"; |
if (ref($cleanupnum) eq 'HASH') { |
|
$output = &cleanup_numerical_response($cleanupnum,$output); |
|
} |
|
return $output; |
|
} |
|
} |
|
|
|
sub encode_response { |
|
my ($value) = @_; |
|
$value =~ s/&/&/g; |
|
$value =~ s/</</g; |
|
$value =~ s/>/>/g; |
|
$value =~ s/"/"/g; |
|
return $value; |
|
} |
|
|
|
sub cleanup_numerical_response { |
|
my ($cleanupnum,$value) = @_; |
|
if (ref($cleanupnum) eq 'HASH') { |
|
if ($cleanupnum->{exponent}) { |
|
if ($value =~ m{^(.*)[\*xX]\s*10\s*\^\s*(\+|\-)?\s*(\d+)(.*)$}) { |
|
my $pre_exp = $1; |
|
my $sign = $2; |
|
my $exponent = $3; |
|
my $post_exp = $4; |
|
if ($pre_exp !~ /\./) { |
|
$pre_exp .= '.'; |
|
} |
|
if ($sign eq '') { |
|
$sign = '+'; |
|
} |
|
$value = $pre_exp.'E'.$sign.$exponent.$post_exp; |
|
} |
|
} |
|
if ($cleanupnum->{comma}) { |
|
$value =~ s{(\d+),(\d+)}{$1$2}; |
|
} |
|
if ($cleanupnum->{letterforzero}) { |
|
$value =~ s/^\s*o(\.\d+)/0$1/i; |
|
} |
|
if ($cleanupnum->{spaces}) { |
|
$value =~ s{^\s+|\s+$}{}g; |
|
if ($value =~ m{^(.*)\.\s+(\d+)(.*)$}) { |
|
my $pre_pt = $1; |
|
my $decimal = $2; |
|
my $post_dec = $3; |
|
$value = $pre_pt.'.'.$decimal.$post_dec; |
|
} |
|
} |
|
if ($cleanupnum->{format} =~ /^\d+s$/i) { |
|
$value = &format_significant_figures($value,$cleanupnum->{format}); |
|
} |
} |
} |
return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm; |
return $value; |
|
} |
|
|
|
sub currentpart { |
|
return $external::part; |
|
} |
|
|
|
sub eval_time { |
|
my ($timestamp)=@_; |
|
unless ($timestamp) { return ''; } |
|
return &locallocaltime($timestamp); |
|
} |
|
|
|
sub open_date { |
|
my ($partid)=@_; |
|
unless ($partid) { $partid=0; } |
|
return &eval_time(&EXT('resource.'.$partid.'.opendate')); |
|
} |
|
|
|
sub due_date { |
|
my ($partid)=@_; |
|
unless ($partid) { $partid=0; } |
|
return &eval_time(&EXT('resource.'.$partid.'.duedate')); |
} |
} |
|
|
sub answer_date { |
sub answer_date { |
my @dc = split(/\s+/,localtime(&EXT('resource.0.answerdate'))); |
my ($partid)=@_; |
return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969); |
unless ($partid) { $partid=0; } |
my @hm = split(/:/,$dc[3]); |
return &eval_time(&EXT('resource.'.$partid.'.answerdate')); |
my $ampm = " am"; |
} |
if ($hm[0] > 12) { |
|
$hm[0]-=12; |
sub open_date_epoch { |
$ampm = " pm"; |
my ($partid)=@_; |
|
unless ($partid) { $partid=0; } |
|
return &EXT('resource.'.$partid.'.opendate'); |
|
} |
|
|
|
sub due_date_epoch { |
|
my ($partid)=@_; |
|
unless ($partid) { $partid=0; } |
|
return &EXT('resource.'.$partid.'.duedate'); |
|
} |
|
|
|
sub answer_date_epoch { |
|
my ($partid)=@_; |
|
unless ($partid) { $partid=0; } |
|
return &EXT('resource.'.$partid.'.answerdate'); |
|
} |
|
|
|
sub parameter_setting { |
|
my ($which,$partid)=@_; |
|
unless ($partid) { $partid=0; } |
|
return &EXT('resource.'.$partid.'.'.$which); |
|
} |
|
|
|
sub stored_data { |
|
my ($which,$partid)=@_; |
|
unless ($partid) { $partid=0; } |
|
return &EXT('user.resource.resource.'.$partid.'.'.$which); |
|
} |
|
|
|
sub wrong_bubbles { |
|
my ($correct,$lower,$upper,$step,@given)=@_; |
|
my @array=(); |
|
my %hash=(); |
|
foreach my $new (@given) { |
|
$hash{$new}=1; |
} |
} |
return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm; |
my $num=int(¶meter_setting('numbubbles',¤tpart())); |
|
unless ($num) { $num=8; } |
|
if ($num>1) { |
|
for (my $i=0;$i<=500;$i++) { |
|
my $new=&random($lower,$upper,$step); |
|
if ($hash{$new}) { next; } |
|
if (abs($new-$correct)<$step) { next; } |
|
$hash{$new}=1; |
|
@array=keys(%hash); |
|
if ($#array+2>=$num) { last; } |
|
} |
|
} |
|
return @array; |
} |
} |
|
|
sub array_moments { |
sub array_moments { |
Line 880 sub choose {
|
Line 1481 sub choose {
|
return $_[$num]; |
return $_[$num]; |
} |
} |
|
|
|
#&sum1(1,$x,sub { &sum1($_[0],2*$_[0], sub { fact($_[0])**2 })}); |
|
#sub sum1 { |
|
# my ($start,$end,$sub)=@_; |
|
# my $sum=0; |
|
# for (my $i=$start;$i<=$end;$i++) { |
|
# $sum+=&$sub($i); |
|
# } |
|
# return $sum |
|
#} |
|
|
|
#&sum2('a',1,$x,'&sum2(\'b\',$a,2*$a, \'&factorial($b)**2\')'); |
|
#sub sum2 { |
|
# my ($varname,$start,$end,$line)=@_; |
|
# my $sum=0; |
|
# for (my $i=$start;$i<=$end;$i++) { |
|
# my $func=sub { |
|
# eval("\$".$varname."=$i"); |
|
# eval($line); |
|
# }; |
|
# $sum+=&$func($i); |
|
# } |
|
# return $sum |
|
#} |
|
|
# expiremental idea |
# expiremental idea |
sub proper_path { |
sub proper_path { |
my ($path)=@_; |
my ($path)=@_; |
Line 890 sub proper_path {
|
Line 1515 sub proper_path {
|
} |
} |
} |
} |
|
|
|
sub input_id { |
|
my ($part_id, $response_id, $textline_id) = @_; |
|
return 'HWVAL_'.$part_id.'_'.$response_id.'_'.$textline_id; |
|
} |
|
|