version 1.29, 2001/07/11 21:36:29
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version 1.90, 2004/10/11 16:31:34
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# file name (temp): default_homework |
# The LearningOnline Network with CAPA |
# used by lonxml::xmlparse() as input variable $safeinit to Apache::run::run() |
# used by lonxml::xmlparse() as input variable $safeinit to Apache::run::run() |
# |
# |
# Guy Albertelli |
# $Id$ |
# |
# |
# 05/25/2001 H. K. Ng |
# Copyright Michigan State University Board of Trustees |
# 05/31/2001 H. K. Ng |
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# |
# |
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# This file is part of the LearningOnline Network with CAPA (LON-CAPA). |
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# |
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# LON-CAPA is free software; you can redistribute it and/or modify |
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# it under the terms of the GNU General Public License as published by |
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# the Free Software Foundation; either version 2 of the License, or |
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# (at your option) any later version. |
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# |
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# LON-CAPA is distributed in the hope that it will be useful, |
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# but WITHOUT ANY WARRANTY; without even the implied warranty of |
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# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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# GNU General Public License for more details. |
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# |
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# You should have received a copy of the GNU General Public License |
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# along with LON-CAPA; if not, write to the Free Software |
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# Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA |
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# |
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# /home/httpd/html/adm/gpl.txt |
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# |
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# http://www.lon-capa.org/ |
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# |
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# |
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#init some globals |
#init some globals |
$RANDOMINIT=0; |
$hidden::RANDOMINIT=0; |
$pi=atan2(1,1)*4; |
$pi=atan2(1,1)*4; |
$rad2deg=180.0/$pi; |
$rad2deg=180.0/$pi; |
$deg2rad=$pi/180.0; |
$deg2rad=$pi/180.0; |
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$"=' '; |
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sub caparesponse_check { |
sub caparesponse_check { |
my $answer=''; #done |
my ($answer,$response)=@_; |
my $type=''; #done |
#not properly used yet: calc |
my $tol_type=''; # gets it's value from whether tol has a % or not done |
#not to be used: $ans_fmt |
my $tol=''; #done |
my $type=$LONCAPA::CAPAresponse_args{'type'}; |
my $sig=''; #done lowerbnd,upperbnd |
my $tol=$LONCAPA::CAPAresponse_args{'tol'}; |
my $sig_lbound=''; #done |
my $sig=$LONCAPA::CAPAresponse_args{'sig'}; |
my $sig_ubound=''; #done |
my $ans_fmt=$LONCAPA::CAPAresponse_args{'format'}; |
my $ans_fmt=''; |
my $unit=$LONCAPA::CAPAresponse_args{'unit'}; |
my $unit=''; #done |
my $calc=$LONCAPA::CAPAresponse_args{'calc'}; |
my $calc=''; |
my $samples=$LONCAPA::CAPAresponse_args{'samples'}; |
my ($response,$expr)=@_; |
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my $tol_type=''; # gets it's value from whether tol has a % or not done |
($answer,$type,$tol,$sig,$ans_fmt, |
my $sig_lbound=''; #done |
$unit,$calc) = eval $expr.';return $answer,$type,$tol,$sig,$ans_fmt,$unit,$calc'; |
my $sig_ubound=''; #done |
#type's definitons come from capaParser.h |
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if ($type eq '' ) { |
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if ( $answer eq ($answer *1.0)) { $type = 2; |
#type's definitons come from capaParser.h |
} else { $type = 3; } |
my $message=''; |
} else { |
#remove leading and trailing whitespace |
if ($type eq 'cs') { $type = 4; |
if (!defined($response)) { |
} elsif ($type eq 'ci') { $type = 3; |
$response=''; |
} elsif ($type eq 'mc') { $type = 5; |
} |
} elsif ($type eq 'fml') { $type = 8; |
if ($response=~ /^\s|\s$/) { |
} elsif ($type eq 'subj') { $type = 7; |
$response=~ s:^\s+|\s+$::g; |
} else { return "ERROR: Unknown type of answer: $type" } |
$message .="Removed ws now :$response:\n"; |
} |
} else { |
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$message .="no ws in :$response:\n"; |
if ($tol eq '') { |
} |
$tol=0.0; |
if ($type eq 'cs' || $type eq 'ci' || $type eq 'mc') { |
$tol_type=1; #TOL_ABSOLUTE |
#for string answers make surec all places spaces occur, there is |
} else { |
#really only 1 space, in both the answer and the response |
if ($tol =~ /%$/) { |
$answer=~s/ +/ /g; |
chop $tol; |
$response=~s/ +/ /g; |
$tol_type=2; #TOL_PERCENTAGE |
} |
} else { |
if ($type eq 'float') { $response=~s/,//g; } |
$tol_type=1; #TOL_ABSOLUTE |
if ($type eq 'float' && $ans_fmt=~/\$/) { |
} |
if ($response!~/^\$/) { return "NO_UNIT: Missing \$ "; } |
} |
$response=~s/\$//g; |
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} |
if ($sig eq '') { |
$ans_fmt=~s/\W//g; |
$sig_lbound = 0; #SIG_LB_DEFAULT |
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$sig_ubound =15; #SIG_UB_DEFAULT |
if (length($response) > 500) { return "TOO_LONG: Answer too long"; } |
} else { |
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($sig_lbound,$sig_ubound) = split /,/,$sig; |
if ($type eq '' ) { |
} |
$message .= "Didn't find a type :$type: defaulting\n"; |
my $result = &caparesponse_capa_check_answer($response,$answer,$type, |
if ( $answer eq ($answer *1.0)) { $type = 2; |
$tol_type,$tol, |
} else { $type = 3; } |
$sig_lbound,$sig_ubound, |
} else { |
$ans_fmt,$unit,$calc); |
if ($type eq 'cs') { $type = 4; } |
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elsif ($type eq 'ci') { $type = 3 } |
if ($result == '1') { $result='EXACT_ANS'; } |
elsif ($type eq 'mc') { $type = 5; } |
elsif ($result == '2') { $result='APPROX_ANS'; } |
elsif ($type eq 'fml') { $type = 8; } |
elsif ($result == '3') { $result='SIG_FAIL'; } |
elsif ($type eq 'subj') { $type = 7; } |
elsif ($result == '4') { $result='UNIT_FAIL'; } |
elsif ($type eq 'float') { $type = 2; } |
elsif ($result == '5') { $result='NO_UNIT'; } |
elsif ($type eq 'int') { $type = 1; } |
elsif ($result == '6') { $result='UNIT_OK'; } |
else { return "ERROR: Unknown type of answer: $type" } |
elsif ($result == '7') { $result='INCORRECT'; } |
} |
elsif ($result == '8') { $result='UNIT_NOTNEEDED'; } |
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elsif ($result == '9') { $result='ANS_CNT_NOT_MATCH'; } |
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elsif ($result =='10') { $result='SUB_RECORDED'; } |
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elsif ($result =='11') { $result='BAD_FORMULA'; } |
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elsif ($result =='12') { $result='WANTED_NUMERIC'; } |
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else {$result = "ERROR: Unknown Result:$result:$@:";} |
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return "$result:<br />Error $error:<br />Answer $answer:<br />Response $response:<br />$type|$tol|$tol_type|$sig:$sig_lbound:$sig_ubound|$units<br />"; |
my $points; |
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my $id_list; |
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#formula type setup the sample points |
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if ($type eq '8') { |
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($id_list,$points)=split(/@/,$samples); |
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$message.="Found :$id_list:$points: points in $samples\n"; |
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} |
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if ($tol eq '') { |
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$tol=0.0; |
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$tol_type=1; #TOL_ABSOLUTE |
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} else { |
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if ($tol =~ /%$/) { |
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chop $tol; |
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$tol_type=2; #TOL_PERCENTAGE |
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} else { |
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$tol_type=1; #TOL_ABSOLUTE |
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} |
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} |
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($sig_ubound,$sig_lbound)=&LONCAPA_INTERNAL_get_sigrange($sig); |
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my $reterror=""; |
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my $result = &caparesponse_capa_check_answer($response,$answer,$type, |
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$tol_type,$tol, |
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$sig_lbound,$sig_ubound, |
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$ans_fmt,$unit,$calc,$id_list, |
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$points,$external::randomseed, |
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\$reterror); |
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if ($result == '1') { $result='EXACT_ANS'; } |
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elsif ($result == '2') { $result='APPROX_ANS'; } |
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elsif ($result == '3') { $result='SIG_FAIL'; } |
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elsif ($result == '4') { $result='UNIT_FAIL'; } |
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elsif ($result == '5') { $result='NO_UNIT'; } |
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elsif ($result == '6') { $result='UNIT_OK'; } |
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elsif ($result == '7') { $result='INCORRECT'; } |
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elsif ($result == '8') { $result='UNIT_NOTNEEDED'; } |
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elsif ($result == '9') { $result='ANS_CNT_NOT_MATCH'; } |
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elsif ($result =='10') { $result='SUB_RECORDED'; } |
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elsif ($result =='11') { $result='BAD_FORMULA'; } |
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elsif ($result =='13') { $result='UNIT_INVALID_INSTRUCTOR'; } |
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elsif ($result =='141') { $result='UNIT_INVALID_STUDENT'; } |
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elsif ($result =='142') { $result='UNIT_INVALID_STUDENT'; } |
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elsif ($result =='143') { $result='UNIT_INVALID_STUDENT'; } |
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elsif ($result =='15') { $result='UNIT_IRRECONCIBLE'; } |
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else {$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); |
} |
} |
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sub caparesponse_check_list { |
sub caparesponse_check_list { |
my ($response,$expr)=@_; |
my $response=$LONCAPA::CAPAresponse_args{'response'}; |
my $result=''; |
my ($result,@list); |
my $aresult=''; |
@list=@LONCAPA::CAPAresponse_answer; |
my $current_answer; |
my $aresult=''; |
my $answer = eval $expr.';return $answer'; |
my $current_answer; |
my (@list) = eval $answer; |
my $answers=join(':',@list); |
my (@responselist)=split /,/,$response; |
$result.="Got response :$answers:\n"; |
my $unit=''; |
&LONCAPA_INTERNAL_DEBUG("<blink>Yo!</blink> got ".join(':',%LONCAPA::CAPAresponse_args)); |
$result.="Final response :$responselist['-1']:<br />"; |
my @responselist; |
if ( $responselist['-1']=~ /(.*[^\s])\s+([^\s]+)/ ) { |
my $type = $LONCAPA::CAPAresponse_args{'type'}; |
$responselist['-1']=$1; |
$result.="Got type :$type:\n"; |
$unit=$2; |
if ($type ne '' && $#list > 0) { |
} |
(@responselist)=split /,/,$response; |
$result.="Final response :$responselist['-1']:<br />"; |
} else { |
$unit=~s/\s//; |
(@responselist)=($response); |
my $i=0; |
} |
my $awards=''; |
my $unit=''; |
for ($i=0; $i<@list;$i++) { |
$result.="Initial final response :$responselist['-1']:\n"; |
if ($unit eq '') { |
if ($type eq '' || $type eq 'float') { |
$aresult=&caparesponse_check($responselist[$i], |
#for numerical problems split off the unit |
$expr.';my $answer='.$list[$i].';'); |
if ( $responselist['-1']=~ /(.*[^\s])\s+([^\s]+)/ ) { |
} else { |
$responselist['-1']=$1; |
$aresult=&caparesponse_check($responselist[$i]." $unit", |
$unit=$2; |
$expr.';my $answer='.$list[$i].';'); |
} |
} |
} |
my ($temp)=split /:/, $aresult; |
$result.="Final final response :$responselist['-1']:$unit:\n"; |
$awards.="$temp,"; |
$result.=":$#list: answers\n"; |
$result.=$aresult; |
$unit=~s/\s//; |
} |
my $i=0; |
chop $awards; |
my $awards=''; |
return "$awards:<br />$result"; |
my @msgs; |
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for ($i=0; $i<@list;$i++) { |
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my $msg; |
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$result.="trying answer :$list[$i]:\n"; |
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my $thisanswer=$list[$i]; |
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$result.="trying answer :$thisanswer:\n"; |
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if ($unit eq '') { |
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($aresult,$msg)=&caparesponse_check($thisanswer,$responselist[$i]); |
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} else { |
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($aresult,$msg)=&caparesponse_check($thisanswer, |
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$responselist[$i]." $unit"); |
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} |
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my ($temp)=split /:/, $aresult; |
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$awards.="$temp,"; |
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$result.=$aresult; |
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push(@msgs,$msg); |
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} |
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chop $awards; |
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return ("$awards:\n$result",@msgs); |
} |
} |
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sub tex { |
sub tex { |
if ( $external::target eq "tex" ) { |
if ( $external::target eq "tex" ) { |
return @_[0]; |
return $_[0]; |
} else { |
} else { |
return @_[1]; |
return $_[1]; |
} |
} |
} |
} |
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sub var_in_tex { |
sub var_in_tex { |
if ( $external::target eq "tex" ) { |
if ( $external::target eq "tex" ) { |
return @_[0]; |
return $_[0]; |
} else { |
} else { |
return ""; |
return ""; |
} |
} |
} |
} |
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sub web { |
sub web { |
if ( $external::target eq "tex" ) { |
if ( $external::target eq "tex" ) { |
return @_[1]; |
return $_[1]; |
} else { |
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if ( $external::target eq "web") { |
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return @_[2]; |
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} else { |
} else { |
return @_[0]; |
if ( $external::target eq "web" || $external::target eq "answer") { |
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return $_[2]; |
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} else { |
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return $_[0]; |
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} |
} |
} |
} |
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} |
} |
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sub html { |
sub html { |
if ( $external::target eq "web" ) { |
if ( $external::target eq "web" ) { |
return shift; |
return shift; |
} |
} |
} |
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sub problem { |
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return '1'; |
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} |
} |
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sub hinton { |
sub hinton { |
return 0; |
return 0; |
} |
} |
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sub random { |
sub random { |
my ($start,$end,$step)=@_; |
my ($start,$end,$step)=@_; |
if ( ! $RANDOMINIT ) { srand($external::randomseed); $RANDOMINIT=1; } |
if ( ! $hidden::RANDOMINIT ) { |
my $num=1+int(($end-$start)/$step); |
if ($external::randomseed == 0) { $external::randomseed=1; } |
my $result=$start + int(rand() * $num)*$step; |
if ($external::randomseed =~/,/) { |
return $result; |
my ($num1,$num2)=split(/,/,$external::randomseed); |
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&random_set_seed(1,abs($num1)); |
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} elsif ($external::randomseed =~/:/) { |
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my ($num1,$num2)=split(/:/,$external::randomseed); |
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&random_set_seed(abs($num1),abs($num2)); |
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} else { |
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&random_set_seed(1,int(abs($external::randomseed))); |
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} |
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&math_random_uniform(); |
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$hidden::RANDOMINIT=1; |
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} |
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if (!defined($step)) { $step=1; } |
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my $num=1+int(($end-$start)/$step); |
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my $result=$start + int(&math_random_uniform() * $num)*$step; |
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return $result; |
} |
} |
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sub random_normal { |
sub random_normal { |
my ($item_cnt,$seed,$av,$std_dev) = @_; |
my ($item_cnt,$seed,$av,$std_dev) = @_; |
my @retArray; |
my @oldseed=&random_get_seed(); |
&random_set_seed_from_phrase($seed); |
my @retArray; |
@retArray=&math_random_normal($item_cnt,$av,$std_dev); |
&random_set_seed_from_phrase($seed); |
return @retArray; |
@retArray=&math_random_normal($item_cnt,$av,$std_dev); |
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&random_set_seed(@oldseed); |
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return @retArray; |
} |
} |
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sub random_beta { |
sub random_beta { |
my ($item_cnt,$seed,$aa,$bb) = @_; |
my ($item_cnt,$seed,$aa,$bb) = @_; |
my @retArray; |
my @oldseed=&random_get_seed(); |
&random_set_seed_from_phrase($seed); |
my @retArray; |
@retArray=&math_random_beta($item_cnt,$aa,$bb); |
&random_set_seed_from_phrase($seed); |
return @retArray; |
@retArray=&math_random_beta($item_cnt,$aa,$bb); |
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&random_set_seed(@oldseed); |
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return @retArray; |
} |
} |
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sub random_gamma { |
sub random_gamma { |
my ($item_cnt,$seed,$a,$r) = @_; |
my ($item_cnt,$seed,$a,$r) = @_; |
my @retArray; |
my @oldseed=&random_get_seed(); |
&random_set_seed_from_phrase($seed); |
my @retArray; |
@retArray=&math_random_gamma($item_cnt,$a,$r); |
&random_set_seed_from_phrase($seed); |
return @retArray; |
@retArray=&math_random_gamma($item_cnt,$a,$r); |
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&random_set_seed(@oldseed); |
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return @retArray; |
} |
} |
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sub random_exponential { |
sub random_exponential { |
my ($item_cnt,$seed,$av) = @_; |
my ($item_cnt,$seed,$av) = @_; |
my @retArray; |
my @oldseed=&random_get_seed(); |
&random_set_seed_from_phrase($seed); |
my @retArray; |
@retArray=&math_random_exponential($item_cnt,$av); |
&random_set_seed_from_phrase($seed); |
return @retArray; |
@retArray=&math_random_exponential($item_cnt,$av); |
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&random_set_seed(@oldseed); |
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return @retArray; |
} |
} |
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sub random_poisson { |
sub random_poisson { |
my ($item_cnt,$seed,$mu) = @_; |
my ($item_cnt,$seed,$mu) = @_; |
my @retArray; |
my @oldseed=&random_get_seed(); |
&random_set_seed_from_phrase($seed); |
my @retArray; |
@retArray=&math_random_poisson($item_cnt,$mu); |
&random_set_seed_from_phrase($seed); |
return @retArray; |
@retArray=&math_random_poisson($item_cnt,$mu); |
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&random_set_seed(@oldseed); |
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return @retArray; |
} |
} |
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sub random_chi { |
sub random_chi { |
my ($item_cnt,$seed,$df) = @_; |
my ($item_cnt,$seed,$df) = @_; |
my @retArray; |
my @oldseed=&random_get_seed(); |
&random_set_seed_from_phrase($seed); |
my @retArray; |
@retArray=&math_random_chi_square($item_cnt,$df); |
&random_set_seed_from_phrase($seed); |
return @retArray; |
@retArray=&math_random_chi_square($item_cnt,$df); |
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&random_set_seed(@oldseed); |
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return @retArray; |
} |
} |
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sub random_noncentral_chi { |
sub random_noncentral_chi { |
my ($item_cnt,$seed,$df,$nonc) = @_; |
my ($item_cnt,$seed,$df,$nonc) = @_; |
my @retArray; |
my @oldseed=&random_get_seed(); |
&random_set_seed_from_phrase($seed); |
my @retArray; |
@retArray=&math_random_noncentral_chi_square($item_cnt,$df,$nonc); |
&random_set_seed_from_phrase($seed); |
return @retArray; |
@retArray=&math_random_noncentral_chi_square($item_cnt,$df,$nonc); |
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&random_set_seed(@oldseed); |
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return @retArray; |
} |
} |
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sub random_f { |
sub random_f { |
my ($item_cnt,$seed,$dfn,$dfd) = @_; |
my ($item_cnt,$seed,$dfn,$dfd) = @_; |
my @retArray; |
my @oldseed=&random_get_seed(); |
&random_set_seed_from_phrase($seed); |
my @retArray; |
@retArray=&math_random_f($item_cnt,$dfn,$dfd); |
&random_set_seed_from_phrase($seed); |
return @retArray; |
@retArray=&math_random_f($item_cnt,$dfn,$dfd); |
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&random_set_seed(@oldseed); |
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return @retArray; |
} |
} |
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sub random_noncentral_f { |
sub random_noncentral_f { |
my ($item_cnt,$seed,$dfn,$dfd,$nonc) = @_; |
my ($item_cnt,$seed,$dfn,$dfd,$nonc) = @_; |
my @retArray; |
my @oldseed=&random_get_seed(); |
&random_set_seed_from_phrase($seed); |
my @retArray; |
@retArray=&math_random_noncentral_f($item_cnt,$dfn,$dfd,$nonc); |
&random_set_seed_from_phrase($seed); |
return @retArray; |
@retArray=&math_random_noncentral_f($item_cnt,$dfn,$dfd,$nonc); |
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&random_set_seed(@oldseed); |
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return @retArray; |
} |
} |
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sub random_multivariate_normal { |
sub random_multivariate_normal { |
my ($item_cnt,$seed,@mean) = @_; |
my ($item_cnt,$seed,$mean,$covar) = @_; |
return "Number of deviates must be greater than 0" if $item_cnt <= 0; |
my @oldseed=&random_get_seed(); |
my (@covar,@retArray); |
&random_set_seed_from_phrase($seed); |
my $ind = 0; |
my @retArray=&math_random_multivariate_normal($item_cnt,@$mean,@$covar); |
while ($ind<$item_cnt) { |
&random_set_seed(@oldseed); |
push @covar, pop (@mean); |
return @retArray; |
$ind++; |
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} |
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&random_set_seed_from_phrase($seed); |
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@retArray=&math_random_multivariate_normal($item_cnt,@mean,@covar); |
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return @retArray; |
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} |
} |
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sub random_multinomial { |
sub random_multinomial { |
my ($item_cnt,$seed,@p) = @_; |
my ($item_cnt,$seed,@p) = @_; |
my @retArray; |
my @oldseed=&random_get_seed(); |
&random_set_seed_from_phrase($seed); |
my @retArray; |
@retArray=&math_random_multinomial($item_cnt,@p); |
&random_set_seed_from_phrase($seed); |
return @retArray; |
my @retArray=&math_random_multinomial($item_cnt,@p); |
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&random_set_seed(@oldseed); |
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return @retArray; |
} |
} |
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sub random_permutation { |
sub random_permutation { |
my ($seed,@inArray) = @_; |
my ($seed,@inArray) = @_; |
my @retArray; |
my @oldseed=&random_get_seed(); |
&random_set_seed_from_phrase($seed); |
my @retArray; |
@retArray=&math_random_permutation(@inArray); |
&random_set_seed_from_phrase($seed); |
return @retArray; |
@retArray=&math_random_permutation(@inArray); |
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&random_set_seed(@oldseed); |
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return @retArray; |
} |
} |
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|
sub random_uniform { |
sub random_uniform { |
my ($item_cnt,$seed,$low,$high) = @_; |
my ($item_cnt,$seed,$low,$high) = @_; |
my @retArray; |
my @oldseed=&random_get_seed(); |
&random_set_seed_from_phrase($seed); |
my @retArray; |
@retArray=&math_random_uniform($item_cnt,$low,$high); |
&random_set_seed_from_phrase($seed); |
return @retArray; |
@retArray=&math_random_uniform($item_cnt,$low,$high); |
|
&random_set_seed(@oldseed); |
|
return @retArray; |
} |
} |
|
|
sub random_uniform_integer { |
sub random_uniform_integer { |
my ($item_cnt,$seed,$low,$high) = @_; |
my ($item_cnt,$seed,$low,$high) = @_; |
my @retArray; |
my @oldseed=&random_get_seed(); |
&random_set_seed_from_phrase($seed); |
my @retArray; |
@retArray=&math_random_uniform_integer($item_cnt,$low,$high); |
&random_set_seed_from_phrase($seed); |
return @retArray; |
@retArray=&math_random_uniform_integer($item_cnt,$low,$high); |
|
&random_set_seed(@oldseed); |
|
return @retArray; |
} |
} |
|
|
sub random_binomial { |
sub random_binomial { |
my ($item_cnt,$seed,$nt,$p) = @_; |
my ($item_cnt,$seed,$nt,$p) = @_; |
my @retArray; |
my @oldseed=&random_get_seed(); |
&random_set_seed_from_phrase($seed); |
my @retArray; |
@retArray=&math_random_binomial($item_cnt,$nt,$p); |
&random_set_seed_from_phrase($seed); |
return @retArray; |
@retArray=&math_random_binomial($item_cnt,$nt,$p); |
|
&random_set_seed(@oldseed); |
|
return @retArray; |
} |
} |
|
|
sub random_negative_binomial { |
sub random_negative_binomial { |
my ($item_cnt,$seed,$ne,$p) = @_; |
my ($item_cnt,$seed,$ne,$p) = @_; |
my @retArray; |
my @oldseed=&random_get_seed(); |
&random_set_seed_from_phrase($seed); |
my @retArray; |
@retArray=&math_random_negative_binomial($item_cnt,$ne,$p); |
&random_set_seed_from_phrase($seed); |
return @retArray; |
@retArray=&math_random_negative_binomial($item_cnt,$ne,$p); |
|
&random_set_seed(@oldseed); |
|
return @retArray; |
} |
} |
|
|
sub abs { abs(shift) } |
sub abs { abs(shift) } |
Line 307 sub log { log(shift) }
|
Line 424 sub log { log(shift) }
|
sub atan2 { atan2($_[0],$_[1]) } |
sub atan2 { atan2($_[0],$_[1]) } |
sub sqrt { sqrt(shift) } |
sub sqrt { sqrt(shift) } |
|
|
sub tan { sin($_[0]) / cos($_[0]) } |
sub tan { CORE::sin($_[0]) / CORE::cos($_[0]) } |
#sub atan { atan2($_[0], 1); } |
#sub atan { atan2($_[0], 1); } |
#sub acos { atan2(sqrt(1 - $_[0] * $_[0]), $_[0] ); } |
#sub acos { atan2(sqrt(1 - $_[0] * $_[0]), $_[0] ); } |
#sub asin { atan2($_[0], sqrt(1- $_[0] * $_[0]) ); } |
#sub asin { atan2($_[0], sqrt(1- $_[0] * $_[0]) ); } |
|
|
sub log10 { log($_[0])/log(10); } |
sub log10 { CORE::log($_[0])/CORE::log(10); } |
|
|
sub factorial { |
sub factorial { |
my $input = int(shift); |
my $input = CORE::int(shift); |
return "Error - unable to take factorial of an negative number ($input)" if $input < 0; |
return "Error - unable to take factorial of an negative number ($input)" if $input < 0; |
return "Error - factorial result is greater than system limit ($input)" if $input > 170; |
return "Error - factorial result is greater than system limit ($input)" if $input > 170; |
return 1 if $input == 0; |
return 1 if $input == 0; |
Line 358 sub sub_string {
|
Line 475 sub sub_string {
|
} |
} |
|
|
sub pow {return $_[0] ** $_[1]; } |
sub pow {return $_[0] ** $_[1]; } |
sub ceil {return (($_[0]-int($_[0]))== 0.0) ? $_[0] : (($_[0] > 0) ? (int($_[0])+ 1) : int($_[0])); } |
sub ceil {return (($_[0]-CORE::int($_[0]))== 0.0) ? $_[0] : (($_[0] > 0) ? (CORE::int($_[0])+ 1) : CORE::int($_[0])); } |
sub floor {return (($_[0]-int($_[0]))== 0.0) ? $_[0] : (($_[0] > 0) ? int($_[0]) : (int($_[0])-1)); } |
sub floor {return (($_[0]-CORE::int($_[0]))== 0.0) ? $_[0] : (($_[0] > 0) ? CORE::int($_[0]) : (CORE::int($_[0])-1)); } |
#sub floor {return int($_[0]); } |
#sub floor {return int($_[0]); } |
|
|
sub format { |
sub format { |
my ($value,$fmt)=@_; |
my ($value,$fmt)=@_; |
return sprintf('%.'.$fmt,$value); |
my ($dollarmode,$commamode,$alwaysperiod,$options); |
|
if ($fmt =~ /^([^\d]*)(.*)/) { $options=$1; $fmt=$2; } |
|
#if ($options =~ /\$/) { $dollamode=1; } |
|
#if ($options =~ /,/) { $commamode=1; } |
|
if ($options =~ /\./) { $alwaysperiod=1; } |
|
$fmt=~s/e/E/g; |
|
my $result=sprintf('%.'.$fmt,$value); |
|
if ($alwaysperiod && $fmt eq '0f') { $result .='.'; } |
|
$result=~s/(E[+-]*)0/$1/; |
|
#if ($dollarmode) {$result=&dollarformat($result);} |
|
#if ($commamode) {$result=&commaformat($result);} |
|
return $result; |
|
} |
|
|
|
sub chemparse { |
|
my ($reaction) = @_; |
|
my @tokens = split(/(\s\+|\->|<=>)/,$reaction); |
|
my $formula = ''; |
|
foreach my $token (@tokens) { |
|
if ($token eq '->' ) { |
|
$formula .= '<m>\ensuremath{\rightarrow}</m> '; |
|
next; |
|
} |
|
if ($token eq '<=>') { |
|
if ($external::target eq 'web' && |
|
&EXT('request.browser.unicode')) { |
|
$formula .= '⇌ '; |
|
} else { |
|
$formula .= &web('<=> ','<m>\ensuremath{\rightleftharpoons}</m> ', |
|
'<=$gt; '); |
|
} |
|
next; |
|
} |
|
$token =~ /^\s*(\d*(?:&frac\d\d)?)(.*)/; |
|
$formula .= $1 if ($1 ne '1'); # stoichiometric coefficient |
|
|
|
my $molecule = $2; |
|
# subscripts |
|
$molecule =~ s|(?<=[a-zA-Z\)\]\s])(\d+)|<sub>$1</sub>|g; |
|
# superscripts |
|
$molecule =~ s|\^(\d*[+\-]*)|<sup>$1</sup>|g; |
|
# strip whitespace |
|
$molecule =~ s/\s*//g; |
|
# forced space |
|
$molecule =~ s/_/ /g; |
|
$formula .= $molecule.' '; |
|
} |
|
# get rid of trailing space |
|
$formula =~ s/(\ \;| )$//; |
|
|
|
return &xmlparse($formula); |
|
} |
|
|
|
sub prettyprint { |
|
my ($value,$fmt,$target)=@_; |
|
my $result; |
|
if (!$target) { $target = $external::target; } |
|
if ($fmt =~ /chem/i) { return(&chemparse($value)); } |
|
my ($dollarmode,$commamode,$alwaysperiod,$options); |
|
if ($fmt =~ /^([^\d]*)(.*)/) { $options=$1; $fmt=$2; } |
|
if ($options =~ /\$/) { $dollarmode=1; } |
|
if ($options =~ /,/) { $commamode=1; } |
|
if ($options =~ /\./) { $alwaysperiod=1; } |
|
if ($fmt) { $value=sprintf('%.'.$fmt,$value); } |
|
if ($alwaysperiod && $fmt eq '0f') { |
|
if ($target eq 'tex') { |
|
$value .='\\ensuremath{.}'; |
|
} else { |
|
$value .='.'; |
|
} |
|
} |
|
if ($value =~ /([0-9\.\-\+]+)E([0-9\-\+]+)/i ) { |
|
my $frac=$1; |
|
if ($dollarmode) { $frac=&dollarformat($frac); } |
|
if ($commamode) { $frac=&commaformat($frac); } |
|
my $exponent=$2; |
|
$exponent=~s/^\+0*//; |
|
$exponent=~s/^-0*/-/; |
|
$exponent=~s/^-0*/-/; |
|
if ($exponent eq '-') { undef($exponent); } |
|
if ($exponent) { |
|
if ($target eq 'web') { |
|
$result=$frac.'×10<sup>'.$exponent.'</sup>'; |
|
} elsif ($target eq 'tex') { |
|
$result='\ensuremath{'.$frac.'\times 10^{'.$exponent.'}}'; |
|
} else { |
|
$result=$value; |
|
} |
|
} else { |
|
$result=$frac; |
|
} |
|
} else { |
|
$result=$value; |
|
if ($dollarmode) { $result=&dollarformat($result,$target); } |
|
elsif ($commamode) { $result=&commaformat($result,$target); } |
|
} |
|
return $result; |
|
} |
|
|
|
sub commaformat { |
|
my ($number,$target) = @_; |
|
if ($number =~ /\./) { |
|
while ($number =~ /([^\.,]+)([^\.,][^\.,][^\.,])([,0-9]*\.[0-9]*)$/) { |
|
$number = $1.','.$2.$3; |
|
} |
|
} else { |
|
while ($number =~ /([^,]+)([^,][^,][^,])([,0-9]*)$/) { |
|
$number = $1.','.$2.$3; |
|
} |
|
} |
|
return $number; |
|
} |
|
|
|
sub dollarformat { |
|
my ($number,$target) = @_; |
|
if (!$target) { $target = $external::target; } |
|
$number=&commaformat($number,$target); |
|
if ($target eq 'tex') { |
|
$number='\$'.$number; #' stupid emacs |
|
} else { |
|
$number='$'.$number; #' stupid emacs |
|
} |
|
return $number; |
} |
} |
|
|
sub map { |
sub map { |
my ($phrase,$dest,$source)=@_; |
my ($phrase,$dest,$source)=@_; |
|
my @oldseed=&random_get_seed(); |
my @seed = &random_seed_from_phrase($phrase); |
my @seed = &random_seed_from_phrase($phrase); |
&random_set_seed(@seed); |
&random_set_seed(@seed); |
my $destct = scalar(@$dest); |
my $destct = scalar(@$dest); |
Line 380 sub map {
|
Line 620 sub map {
|
$output[$ctr] = $$dest[$idx[$ctr]]; |
$output[$ctr] = $$dest[$idx[$ctr]]; |
$ctr++; |
$ctr++; |
} |
} |
|
&random_set_seed(@oldseed); |
return @output; |
return @output; |
} else { |
} else { |
my $num = scalar(@$source); |
my $num = scalar(@$source); |
Line 399 sub map {
|
Line 640 sub map {
|
} |
} |
} |
} |
} |
} |
|
&random_set_seed(@oldseed); |
|
return ''; |
} |
} |
|
|
sub rmap { |
sub rmap { |
my ($phrase,$dest,$source)=@_; |
my ($phrase,$dest,$source)=@_; |
|
my @oldseed=&random_get_seed(); |
my @seed = &random_seed_from_phrase($phrase); |
my @seed = &random_seed_from_phrase($phrase); |
&random_set_seed(@seed); |
&random_set_seed(@seed); |
my $destct = scalar(@$dest); |
my $destct = scalar(@$dest); |
Line 420 sub rmap {
|
Line 664 sub rmap {
|
$output[$ctr] = $$dest[$r_idx[$ctr]]; |
$output[$ctr] = $$dest[$r_idx[$ctr]]; |
$ctr++; |
$ctr++; |
} |
} |
|
&random_set_seed(@oldseed); |
return @output; |
return @output; |
} else { |
} else { |
my $num = scalar(@$source); |
my $num = scalar(@$source); |
Line 445 sub rmap {
|
Line 690 sub rmap {
|
} |
} |
} |
} |
} |
} |
|
&random_set_seed(@oldseed); |
|
return ''; |
} |
} |
|
|
sub capa_id { return } |
sub capa_id { return } |
Line 452 sub capa_id { return }
|
Line 699 sub capa_id { return }
|
sub problem { return } |
sub problem { return } |
|
|
sub name{ |
sub name{ |
my $fullname = &EXT('environment.lastname').', '.&EXT('environment.firstname').' '.&EXT('environment.middlename'); |
my $fullname = &EXT('environment.lastname').', '.&EXT('environment.firstname').' '.&EXT('environment.middlename'); |
$fullname = "" if $fullname eq ", "; |
$fullname = "" if $fullname eq ", "; |
$fullname =~ s/\%2d/-/g; |
$fullname =~ s/\%2d/-/g; |
return $fullname; |
return $fullname; |
} |
} |
|
|
sub student_number { |
sub student_number { |
my $id = &EXT('environment.id'); |
my $id = &EXT('environment.id'); |
$id = '' if $id eq ""; |
$id = '' if $id eq ""; |
return $id; |
return $id; |
} |
} |
|
|
sub class { |
sub class { |
my $course = &EXT('course.description'); |
my $course = &EXT('course.description'); |
$course = '' if $course eq ""; |
$course = '' if $course eq ""; |
return $course; |
return $course; |
} |
} |
|
|
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 $sec; |
} |
} |
|
|
sub open_date { |
sub open_date { |
my @dc = split(/\s+/,localtime(&EXT('resource.0.opendate'))); |
my @dc = split(/\s+/,localtime(&EXT('resource.0.opendate'))); |
return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969); |
return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969); |
my @hm = split(/:/,$dc[3]); |
my @hm = split(/:/,$dc[3]); |
my $ampm = " am"; |
my $ampm = " am"; |
if ($hm[0] > 12) { |
if ($hm[0] > 12) { |
$hm[0]-=12; |
$hm[0]-=12; |
$ampm = " pm"; |
$ampm = " pm"; |
} |
} |
return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm; |
return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm; |
} |
} |
|
|
sub due_date { |
sub due_date { |
my @dc = split(/\s+/,localtime(&EXT('resource.0.duedate'))); |
my @dc = split(/\s+/,localtime(&EXT('resource.0.duedate'))); |
return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969); |
return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969); |
my @hm = split(/:/,$dc[3]); |
my @hm = split(/:/,$dc[3]); |
my $ampm = " am"; |
my $ampm = " am"; |
if ($hm[0] > 12) { |
if ($hm[0] > 12) { |
$hm[0]-=12; |
$hm[0]-=12; |
$ampm = " pm"; |
$ampm = " pm"; |
} |
} |
return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm; |
return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm; |
# return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$dc[3]; |
|
} |
} |
|
|
sub answer_date { |
sub answer_date { |
my @dc = split(/\s+/,localtime(&EXT('resource.0.answerdate'))); |
my @dc = split(/\s+/,localtime(&EXT('resource.0.answerdate'))); |
return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969); |
return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969); |
my @hm = split(/:/,$dc[3]); |
my @hm = split(/:/,$dc[3]); |
my $ampm = " am"; |
my $ampm = " am"; |
if ($hm[0] > 12) { |
if ($hm[0] > 12) { |
$hm[0]-=12; |
$hm[0]-=12; |
$ampm = " pm"; |
$ampm = " pm"; |
} |
} |
return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm; |
return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm; |
# return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$dc[3]; |
|
} |
} |
|
|
sub array_moments { |
sub array_moments { |
my @input=@_; |
my @input=@_; |
my (@output,$N); |
my (@output,$N); |
$N=scalar (@input); |
$N=scalar (@input); |
$output[0]=$N; |
$output[0]=$N; |
if ($N <= 1) { |
if ($N <= 1) { |
$output[1]=$input[0]; |
$output[1]=$input[0]; |
$output[1]="Input array not defined" if ($N == 0); |
$output[1]="Input array not defined" if ($N == 0); |
$output[2]="variance undefined for N<=1"; |
$output[2]="variance undefined for N<=1"; |
$output[3]="skewness undefined for N<=1"; |
$output[3]="skewness undefined for N<=1"; |
$output[4]="kurtosis undefined for N<=1"; |
$output[4]="kurtosis undefined for N<=1"; |
|
return @output; |
|
} |
|
my $sum=0; |
|
foreach my $line (@input) { |
|
$sum+=$line; |
|
} |
|
$output[1] = $sum/$N; |
|
my ($x,$sdev,$var,$skew,$kurt) = 0; |
|
foreach my $line (@input) { |
|
$x=$line-$output[1]; |
|
$var+=$x**2; |
|
$skew+=$x**3; |
|
$kurt+=$x**4; |
|
} |
|
$output[2]=$var/($N-1); |
|
$sdev=CORE::sqrt($output[2]); |
|
if ($sdev == 0) { |
|
$output[3]="inf-variance=0"; |
|
$output[4]="inf-variance=0"; |
|
return @output; |
|
} |
|
$output[3]=$skew/($sdev**3*$N); |
|
$output[4]=$kurt/($sdev**4*$N)-3; |
return @output; |
return @output; |
} |
|
my $sum=0; |
|
foreach my $line (@input) { |
|
$sum+=$line; |
|
} |
|
$output[1] = $sum/$N; |
|
my ($x,$sdev,$var,$skew,$kurt) = 0; |
|
foreach my $line (@input) { |
|
$x=$line-$output[1]; |
|
$var+=$x**2; |
|
$skew+=$x**3; |
|
$kurt+=$x**4; |
|
} |
|
$output[2]=$var/($N-1); |
|
$sdev=sqrt($output[2]); |
|
if ($sdev == 0) { |
|
$output[3]="inf-variance=0"; |
|
$output[4]="inf-variance=0"; |
|
return @output; |
|
} |
|
$output[3]=$skew/($sdev**3*$N); |
|
$output[4]=$kurt/($sdev**4*$N)-3; |
|
return @output; |
|
} |
} |
|
|
sub choose { |
sub choose { |
my $num = $_[0]; |
my $num = $_[0]; |
return $_[$num]; |
return $_[$num]; |
} |
} |
|
|
|
# expiremental idea |
|
sub proper_path { |
|
my ($path)=@_; |
|
if ( $external::target eq "tex" ) { |
|
return '/home/httpd/html'.$path; |
|
} else { |
|
return $path; |
|
} |
|
} |
|
|