# The LearningOnline Network with CAPA # used by lonxml::xmlparse() as input variable $safeinit to Apache::run::run() # # $Id: default_homework.lcpm,v 1.85 2004/06/04 22:56:46 albertel Exp $ # # Copyright Michigan State University Board of Trustees # # This file is part of the LearningOnline Network with CAPA (LON-CAPA). # # LON-CAPA is free software; you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation; either version 2 of the License, or # (at your option) any later version. # # LON-CAPA is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with LON-CAPA; if not, write to the Free Software # Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA # # /home/httpd/html/adm/gpl.txt # # http://www.lon-capa.org/ # # #init some globals $hidden::RANDOMINIT=0; $pi=atan2(1,1)*4; $rad2deg=180.0/$pi; $deg2rad=$pi/180.0; $"=' '; sub caparesponse_check { my ($answer,$response)=@_; #not properly used yet: calc #not to be used: $ans_fmt my $type=$LONCAPA::CAPAresponse_args{'type'}; my $tol=$LONCAPA::CAPAresponse_args{'tol'}; my $sig=$LONCAPA::CAPAresponse_args{'sig'}; my $ans_fmt=$LONCAPA::CAPAresponse_args{'ans_fmt'}; my $unit=$LONCAPA::CAPAresponse_args{'unit'}; my $calc=$LONCAPA::CAPAresponse_args{'calc'}; my $samples=$LONCAPA::CAPAresponse_args{'samples'}; my $tol_type=''; # gets it's value from whether tol has a % or not done my $sig_lbound=''; #done my $sig_ubound=''; #done #type's definitons come from capaParser.h my $message=''; #remove leading and trailing whitespace if (!defined($response)) { $response=''; } if ($response=~ /^\s|\s$/) { $response=~ s:^\s+|\s+$::g; $message .="Removed ws now :$response:\n"; } else { $message .="no ws in :$response:\n"; } if ($type eq 'cs' || $type eq 'ci' || $type eq 'mc') { #for string answers make surec all places spaces occur, there is #really only 1 space, in both the answer and the response $answer=~s/ +/ /g; $response=~s/ +/ /g; } if ($type eq 'float') { $response=~s/,//g; } if (length($response) > 500) { return "TOO_LONG: Answer too long"; } if ($type eq '' ) { $message .= "Didn't find a type :$type: defaulting\n"; if ( $answer eq ($answer *1.0)) { $type = 2; } else { $type = 3; } } else { if ($type eq 'cs') { $type = 4; } elsif ($type eq 'ci') { $type = 3 } elsif ($type eq 'mc') { $type = 5; } elsif ($type eq 'fml') { $type = 8; } elsif ($type eq 'subj') { $type = 7; } elsif ($type eq 'float') { $type = 2; } elsif ($type eq 'int') { $type = 1; } else { return "ERROR: Unknown type of answer: $type" } } my $points; my $id_list; #formula type setup the sample points if ($type eq '8') { ($id_list,$points)=split(/@/,$samples); $message.="Found :$id_list:$points: points in $samples\n"; } if ($tol eq '') { $tol=0.0; $tol_type=1; #TOL_ABSOLUTE } else { if ($tol =~ /%$/) { chop $tol; $tol_type=2; #TOL_PERCENTAGE } else { $tol_type=1; #TOL_ABSOLUTE } } ($sig_ubound,$sig_lbound)=&LONCAPA_INTERNAL_get_sigrange($sig); my $reterror=""; my $result = &caparesponse_capa_check_answer($response,$answer,$type, $tol_type,$tol, $sig_lbound,$sig_ubound, $ans_fmt,$unit,$calc,$id_list, $points,$external::randomseed, \$reterror); if ($result == '1') { $result='EXACT_ANS'; } elsif ($result == '2') { $result='APPROX_ANS'; } elsif ($result == '3') { $result='SIG_FAIL'; } elsif ($result == '4') { $result='UNIT_FAIL'; } elsif ($result == '5') { $result='NO_UNIT'; } elsif ($result == '6') { $result='UNIT_OK'; } elsif ($result == '7') { $result='INCORRECT'; } elsif ($result == '8') { $result='UNIT_NOTNEEDED'; } elsif ($result == '9') { $result='ANS_CNT_NOT_MATCH'; } elsif ($result =='10') { $result='SUB_RECORDED'; } elsif ($result =='11') { $result='BAD_FORMULA'; } elsif ($result =='13') { $result='UNIT_INVALID_INSTRUCTOR'; } elsif ($result =='141') { $result='UNIT_INVALID_STUDENT'; } elsif ($result =='142') { $result='UNIT_INVALID_STUDENT'; } elsif ($result =='143') { $result='UNIT_INVALID_STUDENT'; } elsif ($result =='15') { $result='UNIT_IRRECONCIBLE'; } else {$result = "ERROR: Unknown Result:$result:$@:";} return ("$result:\nRetError $reterror:\nAnswer $answer:\nResponse $response:\n type-$type|$tol|$tol_type|$sig:$sig_lbound:$sig_ubound|$unit|\n$message",$reterror); } sub caparesponse_check_list { my $response=$LONCAPA::CAPAresponse_args{'response'}; my ($result,@list); @list=@LONCAPA::CAPAresponse_answer; my $aresult=''; my $current_answer; my $answers=join(':',@list); $result.="Got response :$answers:\n"; &LONCAPA_INTERNAL_DEBUG("Yo! got ".join(':',%LONCAPA::CAPAresponse_args)); my @responselist; my $type = $LONCAPA::CAPAresponse_args{'type'}; $result.="Got type :$type:\n"; if ($type ne '' && $#list > 0) { (@responselist)=split /,/,$response; } else { (@responselist)=($response); } my $unit=''; $result.="Initial final response :$responselist['-1']:\n"; if ($type eq '' || $type eq 'float') { #for numerical problems split off the unit if ( $responselist['-1']=~ /(.*[^\s])\s+([^\s]+)/ ) { $responselist['-1']=$1; $unit=$2; } } $result.="Final final response :$responselist['-1']:$unit:\n"; $result.=":$#list: answers\n"; $unit=~s/\s//; my $i=0; my $awards=''; my @msgs; for ($i=0; $i<@list;$i++) { my $msg; $result.="trying answer :$list[$i]:\n"; my $thisanswer=$list[$i]; $result.="trying answer :$thisanswer:\n"; if ($unit eq '') { ($aresult,$msg)=&caparesponse_check($thisanswer,$responselist[$i]); } else { ($aresult,$msg)=&caparesponse_check($thisanswer, $responselist[$i]." $unit"); } my ($temp)=split /:/, $aresult; $awards.="$temp,"; $result.=$aresult; push(@msgs,$msg); } chop $awards; return ("$awards:\n$result",@msgs); } sub tex { if ( $external::target eq "tex" ) { return $_[0]; } else { return $_[1]; } } sub var_in_tex { if ( $external::target eq "tex" ) { return $_[0]; } else { return ""; } } sub web { if ( $external::target eq "tex" ) { return $_[1]; } else { if ( $external::target eq "web" || $external::target eq "answer") { return $_[2]; } else { return $_[0]; } } } sub html { if ( $external::target eq "web" ) { return shift; } } sub hinton { return 0; } sub random { my ($start,$end,$step)=@_; if ( ! $hidden::RANDOMINIT ) { if ($external::randomseed == 0) { $external::randomseed=1; } if ($external::randomseed =~/,/) { my ($num1,$num2)=split(/,/,$external::randomseed); &random_set_seed(1,abs($num1)); } elsif ($external::randomseed =~/:/) { my ($num1,$num2)=split(/:/,$external::randomseed); &random_set_seed(abs($num1),abs($num2)); } else { &random_set_seed(1,int(abs($external::randomseed))); } &math_random_uniform(); $hidden::RANDOMINIT=1; } if (!defined($step)) { $step=1; } my $num=1+int(($end-$start)/$step); my $result=$start + int(&math_random_uniform() * $num)*$step; return $result; } sub random_normal { my ($item_cnt,$seed,$av,$std_dev) = @_; my @oldseed=&random_get_seed(); my @retArray; &random_set_seed_from_phrase($seed); @retArray=&math_random_normal($item_cnt,$av,$std_dev); &random_set_seed(@oldseed); return @retArray; } sub random_beta { my ($item_cnt,$seed,$aa,$bb) = @_; my @oldseed=&random_get_seed(); my @retArray; &random_set_seed_from_phrase($seed); @retArray=&math_random_beta($item_cnt,$aa,$bb); &random_set_seed(@oldseed); return @retArray; } sub random_gamma { my ($item_cnt,$seed,$a,$r) = @_; my @oldseed=&random_get_seed(); my @retArray; &random_set_seed_from_phrase($seed); @retArray=&math_random_gamma($item_cnt,$a,$r); &random_set_seed(@oldseed); return @retArray; } sub random_exponential { my ($item_cnt,$seed,$av) = @_; my @oldseed=&random_get_seed(); my @retArray; &random_set_seed_from_phrase($seed); @retArray=&math_random_exponential($item_cnt,$av); &random_set_seed(@oldseed); return @retArray; } sub random_poisson { my ($item_cnt,$seed,$mu) = @_; my @oldseed=&random_get_seed(); my @retArray; &random_set_seed_from_phrase($seed); @retArray=&math_random_poisson($item_cnt,$mu); &random_set_seed(@oldseed); return @retArray; } sub random_chi { my ($item_cnt,$seed,$df) = @_; my @oldseed=&random_get_seed(); my @retArray; &random_set_seed_from_phrase($seed); @retArray=&math_random_chi_square($item_cnt,$df); &random_set_seed(@oldseed); return @retArray; } sub random_noncentral_chi { my ($item_cnt,$seed,$df,$nonc) = @_; my @oldseed=&random_get_seed(); my @retArray; &random_set_seed_from_phrase($seed); @retArray=&math_random_noncentral_chi_square($item_cnt,$df,$nonc); &random_set_seed(@oldseed); return @retArray; } sub random_f { my ($item_cnt,$seed,$dfn,$dfd) = @_; my @oldseed=&random_get_seed(); my @retArray; &random_set_seed_from_phrase($seed); @retArray=&math_random_f($item_cnt,$dfn,$dfd); &random_set_seed(@oldseed); return @retArray; } sub random_noncentral_f { my ($item_cnt,$seed,$dfn,$dfd,$nonc) = @_; my @oldseed=&random_get_seed(); my @retArray; &random_set_seed_from_phrase($seed); @retArray=&math_random_noncentral_f($item_cnt,$dfn,$dfd,$nonc); &random_set_seed(@oldseed); return @retArray; } sub random_multivariate_normal { my ($item_cnt,$seed,$mean,$covar) = @_; my @oldseed=&random_get_seed(); &random_set_seed_from_phrase($seed); @retArray=&math_random_multivariate_normal($item_cnt,@$mean,@$covar); &random_set_seed(@oldseed); return @retArray; } sub random_multinomial { my ($item_cnt,$seed,@p) = @_; my @oldseed=&random_get_seed(); my @retArray; &random_set_seed_from_phrase($seed); @retArray=&math_random_multinomial($item_cnt,@p); &random_set_seed(@oldseed); return @retArray; } sub random_permutation { my ($seed,@inArray) = @_; my @oldseed=&random_get_seed(); my @retArray; &random_set_seed_from_phrase($seed); @retArray=&math_random_permutation(@inArray); &random_set_seed(@oldseed); return @retArray; } sub random_uniform { my ($item_cnt,$seed,$low,$high) = @_; my @oldseed=&random_get_seed(); my @retArray; &random_set_seed_from_phrase($seed); @retArray=&math_random_uniform($item_cnt,$low,$high); &random_set_seed(@oldseed); return @retArray; } sub random_uniform_integer { my ($item_cnt,$seed,$low,$high) = @_; my @oldseed=&random_get_seed(); my @retArray; &random_set_seed_from_phrase($seed); @retArray=&math_random_uniform_integer($item_cnt,$low,$high); &random_set_seed(@oldseed); return @retArray; } sub random_binomial { my ($item_cnt,$seed,$nt,$p) = @_; my @oldseed=&random_get_seed(); my @retArray; &random_set_seed_from_phrase($seed); @retArray=&math_random_binomial($item_cnt,$nt,$p); &random_set_seed(@oldseed); return @retArray; } sub random_negative_binomial { my ($item_cnt,$seed,$ne,$p) = @_; my @oldseed=&random_get_seed(); my @retArray; &random_set_seed_from_phrase($seed); @retArray=&math_random_negative_binomial($item_cnt,$ne,$p); &random_set_seed(@oldseed); return @retArray; } sub abs { abs(shift) } sub sin { sin(shift) } sub cos { cos(shift) } sub exp { exp(shift) } sub int { int(shift) } sub log { log(shift) } sub atan2 { atan2($_[0],$_[1]) } sub sqrt { sqrt(shift) } sub tan { CORE::sin($_[0]) / CORE::cos($_[0]) } #sub atan { atan2($_[0], 1); } #sub acos { atan2(sqrt(1 - $_[0] * $_[0]), $_[0] ); } #sub asin { atan2($_[0], sqrt(1- $_[0] * $_[0]) ); } sub log10 { CORE::log($_[0])/CORE::log(10); } sub factorial { my $input = CORE::int(shift); return "Error - unable to take factorial of an negative number ($input)" if $input < 0; return "Error - factorial result is greater than system limit ($input)" if $input > 170; return 1 if $input == 0; my $result = 1; for (my $i=2; $i<=$input; $i++) { $result *= $i } return $result; } sub sgn { return -1 if $_[0] < 0; return 0 if $_[0] == 0; return 1 if $_[0] > 0; } sub min { my @sorted = sort { $a <=> $b || $a cmp $b } @_; return shift @sorted; } sub max { my @sorted = sort { $a <=> $b || $a cmp $b } @_; return pop @sorted; } sub roundto { my ($input,$n) = @_; return sprintf('%.'.$n.'f',$input); } sub to_string { my ($input,$n) = @_; return sprintf($input) if $n eq ""; $n = '.'.$n if $n !~ /^\./; return sprintf('%'.$n,$input) if $n ne ""; } sub sub_string { my ($str,$start,$len) = @_; return substr($str,$start-1,$len); } sub pow {return $_[0] ** $_[1]; } sub ceil {return (($_[0]-CORE::int($_[0]))== 0.0) ? $_[0] : (($_[0] > 0) ? (CORE::int($_[0])+ 1) : CORE::int($_[0])); } sub floor {return (($_[0]-CORE::int($_[0]))== 0.0) ? $_[0] : (($_[0] > 0) ? CORE::int($_[0]) : (CORE::int($_[0])-1)); } #sub floor {return int($_[0]); } sub format { my ($value,$fmt)=@_; my ($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 '->' ) { $formula .= '\ensuremath{\rightarrow} '; next; } if ($token eq '<=>') { if ($external::target eq 'web' && &EXT('request.browser.unicode')) { $formula .= '⇌ '; } else { $formula .= &web('<=> ','\ensuremath{\rightleftharpoons} ', '<=$gt; '); } next; } $token =~ /^\s*(\d*)(.*)/; $formula .= $1 if ($1 > 1); # stoichiometric coefficient my $molecule = $2; # subscripts $molecule =~ s|(?<=[a-zA-Z\)\]\s])(\d+)|$1|g; # superscripts $molecule =~ s|\^(\d*[+\-]*)|$1|g; # strip whitespace $molecule =~ s/\s*//g; # forced space $molecule =~ s/_/ /g; $formula .= $molecule.' '; } # get rid of trailing space $formula =~ s/(\Q${nbsp}\E| )$//; return &xmlparse($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 =~ /\$/) { $dollamode=1; } if ($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'.$exponent.''; } elsif ($target eq 'tex') { $result='\ensuremath{'.$frac.'\times 10^{'.$exponent.'}}'; } else { $result=$value; } } else { $result=$frac; } } else { $result=$value; if ($dollarmode) { $result=&dollarformat($result,$target); } if ($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 $number; } sub map { my ($phrase,$dest,$source)=@_; my @oldseed=&random_get_seed(); my @seed = &random_seed_from_phrase($phrase); &random_set_seed(@seed); my $destct = scalar(@$dest); if (!$source) { my @output; my @idx = &math_random_permuted_index($destct); my $ctr = 0; while ($ctr < $destct) { $output[$ctr] = $$dest[$idx[$ctr]]; $ctr++; } &random_set_seed(@oldseed); return @output; } else { my $num = scalar(@$source); my @idx = &math_random_permuted_index($num); my $ctr = 0; my $tot = $num; $tot = $destct if $destct < $num; if (ref($$dest[0])) { while ($ctr < $tot) { ${$$dest[$ctr]} = $$source[$idx[$ctr]]; $ctr++; } } else { while ($ctr < $tot) { $$dest[$ctr] = $$source[$idx[$ctr]]; $ctr++; } } } &random_set_seed(@oldseed); return ''; } sub rmap { my ($phrase,$dest,$source)=@_; my @oldseed=&random_get_seed(); my @seed = &random_seed_from_phrase($phrase); &random_set_seed(@seed); my $destct = scalar(@$dest); if (!$source) { my @idx = &math_random_permuted_index($destct); my $ctr = 0; my @r_idx; while ($ctr < $destct) { $r_idx[$idx[$ctr]] = $ctr; $ctr++; } my @output; $ctr = 0; while ($ctr < $destct) { $output[$ctr] = $$dest[$r_idx[$ctr]]; $ctr++; } &random_set_seed(@oldseed); return @output; } else { my $num = scalar(@$source); my @idx = &math_random_permuted_index($num); my $ctr = 0; my $tot = $num; $tot = $destct if $destct < $num; my @r_idx; while ($ctr < $tot) { $r_idx[$idx[$ctr]] = $ctr; $ctr++; } $ctr = 0; if (ref($$dest[0])) { while ($ctr < $tot) { ${$$dest[$ctr]} = $$source[$r_idx[$ctr]]; $ctr++; } } else { while ($ctr < $tot) { $$dest[$ctr] = $$source[$r_idx[$ctr]]; $ctr++; } } } &random_set_seed(@oldseed); return ''; } sub capa_id { return } sub problem { return } sub name{ my $fullname = &EXT('environment.lastname').', '.&EXT('environment.firstname').' '.&EXT('environment.middlename'); $fullname = "" if $fullname eq ", "; $fullname =~ s/\%2d/-/g; return $fullname; } sub student_number { my $id = &EXT('environment.id'); $id = '' if $id eq ""; return $id; } sub class { my $course = &EXT('course.description'); $course = '' if $course eq ""; return $course; } sub sec { my $sec = &EXT('request.course.sec'); $sec = '' if $sec eq ""; return $sec; } sub open_date { my @dc = split(/\s+/,localtime(&EXT('resource.0.opendate'))); return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969); my @hm = split(/:/,$dc[3]); my $ampm = " am"; if ($hm[0] > 12) { $hm[0]-=12; $ampm = " pm"; } return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm; } sub due_date { my @dc = split(/\s+/,localtime(&EXT('resource.0.duedate'))); return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969); my @hm = split(/:/,$dc[3]); my $ampm = " am"; if ($hm[0] > 12) { $hm[0]-=12; $ampm = " pm"; } return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm; } sub answer_date { my @dc = split(/\s+/,localtime(&EXT('resource.0.answerdate'))); return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969); my @hm = split(/:/,$dc[3]); my $ampm = " am"; if ($hm[0] > 12) { $hm[0]-=12; $ampm = " pm"; } return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm; } sub array_moments { my @input=@_; my (@output,$N); $N=scalar (@input); $output[0]=$N; if ($N <= 1) { $output[1]=$input[0]; $output[1]="Input array not defined" if ($N == 0); $output[2]="variance undefined for N<=1"; $output[3]="skewness 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; } sub choose { my $num = $_[0]; return $_[$num]; } # expiremental idea sub proper_path { my ($path)=@_; if ( $external::target eq "tex" ) { return '/home/httpd/html'.$path; } else { return $path; } }