--- loncom/homework/default_homework.lcpm 2001/05/28 21:47:48 1.21
+++ loncom/homework/default_homework.lcpm 2011/08/03 03:14:29 1.160
@@ -1,162 +1,831 @@
-# file name (temp): default_homework
+# The LearningOnline Network with CAPA
# used by lonxml::xmlparse() as input variable $safeinit to Apache::run::run()
-#
#
-#init some globals
-#use Math::Trig;
+# $Id: default_homework.lcpm,v 1.160 2011/08/03 03:14:29 raeburn 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
#
-# Guy Albertelli
+# http://www.lon-capa.org/
#
-# 05/25/2001 H. K. Ng
#
-$RANDOMINIT=0;
-#$pi=atan2(1,1)*4;
+
+#init some globals
+$hidden::RANDOMINIT=0;
+$pi=atan2(1,1)*4;
+$rad2deg=180.0/$pi;
+$deg2rad=$pi/180.0;
+$"=' ';
+use strict;
+{
+ my $n = 0;
+ my $total = 0;
+ my $num_left = 0;
+ my @order;
+ my $type;
+
+ sub init_permutation {
+ my ($size,$requested_type) = @_;
+ @order = (0..$size-1);
+ $n = $size;
+ $type = $requested_type;
+ if ($type eq 'ordered') {
+ $total = $num_left = 1;
+ } elsif ($type eq 'unordered') {
+ $total = $num_left = &factorial($size);
+ } else {
+ die("Unkown type: $type");
+ }
+ }
+
+ sub get_next_permutation {
+ if ($num_left == $total) {
+ $num_left--;
+ return \@order;
+ }
+
+ # Find largest index j with a[j] < a[j+1]
+
+ my $j = scalar(@order) - 2;
+ while ($order[$j] > $order[$j+1]) {
+ $j--;
+ }
+
+ # Find index k such that a[k] is smallest integer
+ # greater than a[j] to the right of a[j]
+
+ my $k = scalar(@order) - 1;
+ while ($order[$j] > $order[$k]) {
+ $k--;
+ }
+
+ # Interchange a[j] and a[k]
+
+ @order[($k,$j)] = @order[($j,$k)];
+
+ # Put tail end of permutation after jth position in increasing order
+
+ my $r = scalar(@order) - 1;
+ my $s = $j + 1;
+
+ while ($r > $s) {
+ @order[($s,$r)]=@order[($r,$s)];
+ $r--;
+ $s++;
+ }
+
+ $num_left--;
+ return(\@order);
+ }
+
+ sub get_permutations_left {
+ return $num_left;
+ }
+}
+
+sub check_commas {
+ my ($response)=@_;
+ #print("$response ");
+ my @numbers=split(',',$response);
+ #print(" numbers ".join('-',@numbers)." ");
+ if (scalar(@numbers) > 1) {
+ #print(" numbers[0] ".$numbers[0]." ");
+ if (length($numbers[0]) > 3 || length($numbers[0]) == 0) { return -1; }
+ shift(@numbers);
+ #print(" numbers ".scalar(@numbers)." ");
+ while (scalar(@numbers) > 1) {
+ #print(" numbers ".join('-',@numbers)." ");
+ if (length($numbers[0]) != 3) { return -2; }
+ shift(@numbers);
+ }
+ my ($number)=split('\.',$numbers[0]);
+ #print(" number ".$number." ");
+ #print(" numbers[0] ".$numbers[0]." ");
+ if (length($number) != 3) { return -3; }
+ } else {
+ my ($number)=split('\.',$numbers[0]);
+ if (length($number) > 3) { return -4; }
+ }
+ return 1;
+}
+
sub caparesponse_check {
- my $answer=''; #done
- my $type=''; #done
- my $tol_type=''; # gets it's value from whether tol has a % or not done
- my $tol=''; #done
- my $sig=''; #done lowerbnd,upperbnd
- my $sig_lbound=''; #done
- my $sig_ubound=''; #done
- my $ans_fmt='';
- my $units=''; #done
- my $calc='';
- my ($response,$expr)=@_;
-
- ($answer,$type,$tol,$sig,$ans_fmt,
- $units,$calc) = eval $expr.';return $answer,$type,$tol,$sig,$ans_fmt,$units,$calc';
- #type's definitons come from capaParser.h
- if ($type eq '' ) {
- 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;
- } else { return "ERROR: Unknown type of answer: $type" }
- }
-
- if ($tol eq '') {
- $tol=0.0;
- $tol_type=1; #TOL_ABSOLUTE
- } else {
- if ($tol =~ /%$/) {
- chop $tol;
- $tol_type=2; #TOL_PERCENTAGE
- } else {
- $tol_type=1; #TOL_ABSOLUTE
- }
- }
-
- if ($sig eq '') {
- $sig_lbound = 0; #SIG_LB_DEFAULT
- $sig_ubound =15; #SIG_UB_DEFAULT
- } else {
- ($sig_lbound,$sig_ubound) = split /,/,$sig;
- }
- my $result = &caparesponse_capa_check_answer($response,$answer,$type,
- $tol_type,$tol,
- $sig_lbound,$sig_ubound,
- $ans_fmt,$units,$calc);
-
- if ($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 =='12') { $result='WANTED_NUMERIC'; }
- else {$result = "ERROR: Unknown Result:$result:$@:";}
+ 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{'format'};
+ 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 $sig_ubound=''; #done
+
+ #type's definitons come from capaParser.h
+
+ #remove leading and trailing whitespace
+ if (!defined($response)) {
+ $response='';
+ }
+ if ($response=~ /^\s|\s$/) {
+ $response=~ s:^\s+|\s+$::g;
+ }
+
+ if ($type eq 'cs' || $type eq 'ci') {
+ #for string answers make sure all places spaces occur, there is
+ #really only 1 space, in both the answer and the response
+ $answer=~s/ +/ /g;
+ $response=~s/ +/ /g;
+ } elsif ($type eq 'mc') {
+ $answer=~s/[\s,]//g;
+ $response=~s/[\s,]//g;
+ }
+ if ($type eq 'float' && $unit=~/\$/) {
+ if ($response!~/^\$|\$$/) { return ('NO_UNIT', undef); }
+ $response=~s/\$//g;
+ }
+ if ($type eq 'float' && $unit=~/\,/ && (&check_commas($response)<0)) {
+ return "COMMA_FAIL:";
+ }
+ $ans_fmt=~s/\W//g;
+ $unit=~s/[\$,]//g;
+ if ($type eq 'float') { $response=~s/,//g; }
+
+ if (length($response) > 500) { return ('TOO_LONG',undef); }
+
+ if ($type eq '' ) {
+ 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 'math') { $type = 9; }
+ elsif ($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(/@/,$samples);
+ }
+ if ($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);
- return "$result:
Error $error:
Answer $answer:
Response $response:
$type|$tol|$tol_type|$sig:$sig_lbound:$sig_ubound|$units
";
+ my $reterror="";
+ my $result;
+ if (($type eq '9') || ($type eq '8')) {
+ if ($response=~/\=/) {
+ return ('BAD_FORMULA','Please submit just an expression, not an equation.');
+ } elsif ($response =~ /\,/ and $response !~ /^\s*\{.*\}\s*$/) {
+ return ('BAD_FORMULA');
+ }
+ }
+ if ($type eq '9') {
+ $result = &maxima_check(&maxima_cas_formula_fix($response),&maxima_cas_formula_fix($answer),\$reterror);
+ } else {
+ if ($type eq '8') { # fml type
+ $response = &capa_formula_fix($response);
+ $answer = &capa_formula_fix($answer);
+ }
+ $result = &caparesponse_capa_check_answer($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 =='12' && !$response) { $result='MISSING_ANSWER'; }
+ elsif ($result =='12') { $result='WANTED_NUMERIC'; }
+ elsif ($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 ($result,$reterror);
}
+
sub caparesponse_check_list {
- my ($response,$expr)=@_;
- my $result='';
- my $aresult='';
- my $current_answer;
- my $answer = eval $expr.';return $answer';
- my (@list) = eval $answer;
- my (@responselist)=split /,/,$response;
- my $unit='';
- $result.="Final response :$responselist['-1']:
";
- if ( $responselist['-1']=~ /(.*[^\s])\s+([^\s]+)/ ) {
- $responselist['-1']=$1;
- $unit=$2;
- }
- $result.="Final response :$responselist['-1']:
";
- $unit=~s/\s//;
- my $i=0;
- my $awards='';
- for ($i=0; $i<@list;$i++) {
- if ($unit eq '') {
- $aresult=&caparesponse_check($responselist[$i],
- $expr.';my $answer='.$list[$i].';');
- } else {
- $aresult=&caparesponse_check($responselist[$i]." $unit",
- $expr.';my $answer='.$list[$i].';');
- }
- my ($temp)=split /:/, $aresult;
- $awards.="$temp,";
- $result.=$aresult;
- }
- chop $awards;
- return "$awards:
$result";
+ my $responses=$LONCAPA::CAPAresponse_args{'response'};
+ &LONCAPA_INTERNAL_DEBUG("args ".join(':',%LONCAPA::CAPAresponse_args));
+ my $type = $LONCAPA::CAPAresponse_args{'type'};
+ my $answerunit=$LONCAPA::CAPAresponse_args{'unit'};
+ &LONCAPA_INTERNAL_DEBUG("Got type :$type: answer unit :$answerunit:\n");
+
+ my $preprocess=$LONCAPA::CAPAresponse_args{'preprocess'};
+ $preprocess=~s/^\&//;
+
+ my $num_input_lines =
+ scalar(@{$LONCAPA::CAPAresponse_answer->{'answers'}});
+
+ if ($type ne '' ) {
+ if (scalar(@$responses) < $num_input_lines) {
+ return 'MISSING_ANSWER';
+ }
+ if (scalar(@$responses) > $num_input_lines) {
+ return 'EXTRA_ANSWER';
+ }
+
+ }
+
+ foreach my $which (0..($num_input_lines-1)) {
+ my $answer_size =
+ scalar(@{$LONCAPA::CAPAresponse_answer->{'answers'}[$which]});
+ if ($type ne ''
+ && $answer_size > 1) {
+ $responses->[$which]=[split(/,/,$responses->[$which])];
+ } else {
+ $responses->[$which]=[$responses->[$which]];
+ }
+ }
+ foreach my $which (0..($num_input_lines-1)) {
+ my $answer_size =
+ scalar(@{$LONCAPA::CAPAresponse_answer->{'answers'}[$which]});
+ my $response_size =
+ scalar(@{$responses->[$which]});
+ if ($answer_size > $response_size) {
+ return 'MISSING_ANSWER';
+ }
+ if ($answer_size < $response_size) {
+ return 'EXTRA_ANSWER';
+ }
+ }
+
+ my $unit;
+ my ($allowalgebra)=($LONCAPA::CAPAresponse_args{'allowalgebra'}=~/^(yes|1|on)$/i);
+ if ($type eq 'float' || $type eq '') {
+ #for numerical problems split off the unit
+ my $part1;
+ my $part2;
+ if ($allowalgebra) {
+ ($part1,$part2)=($responses->[0][-1]=~ /^(.*[^\s])\s+([^\s]+)$/);
+ } else {
+ ($part1,$part2)=($responses->[0][-1]=~ /^([\d\.\,\s\$]*(?:(?:[xX\*]10[\^\*]*|[eE]*)[\+\-]*\d*)*(?:^|\S)\d+)([\$\s\w\^\*\/\(\)\+\-]*[^\d\.\s\,][\$\s\w\^\*\/\(\)\+\-]*)$/);
+ }
+ if (defined($part1) && defined($part2)) {
+ $responses->[0][-1]=$part1;
+ $unit=&capa_formula_fix($part2);
+ my $customunits=$LONCAPA::CAPAresponse_args{'customunits'};
+ foreach my $replacement (split(/\s*\,\s*/,$customunits)) {
+ my ($which,$what)=split(/\s*\=\s*/,$replacement);
+ if ((defined($which)) && (defined($what))) {
+ $what=&capa_formula_fix($what);
+ $unit=~s/$which/\($what\)/g;
+ }
+ }
+ }
+ }
+ $unit=~s/\s//;
+ my $error;
+ foreach my $response (@$responses) {
+ foreach my $element (@$response) {
+ # See if we have preprocessor
+ if ($preprocess=~/\S/) {
+ if (defined(&$preprocess)) {
+ no strict 'refs';
+ $element=&$preprocess($element,$unit);
+ use strict 'refs';
+ }
+ }
+ if (($type eq 'float') || (($type eq '') && ($unit ne ''))) {
+ $element =~ s/\s//g;
+ }
+ my $appendunit=$unit;
+# Deal with percentages
+# unit is unit entered by student, answerunit is unit by author
+# Deprecated: divide answer by 100 if student entered percent,
+# but author did not. Too much confusion
+# if (($unit=~/\%/) && ($answerunit ne '%')) {
+# $element=$element/100;
+# $appendunit=~s/\%//;
+# }
+# Author entered percent, student did not
+ if (($unit!~/\%/) && ($answerunit=~/\%/)) {
+ $element=$element*100;
+ $appendunit='%'.$appendunit;
+ }
+# Zero does not need a dimension
+ if (($element =~ /^[0\.]+$/) && ($unit!~/\w/) && ($answerunit=~/\w/)) {
+ $appendunit=$answerunit;
+ }
+# Do the math for the student if allowed
+ if ($allowalgebra) {
+ $element=&cas('maxima',$element);
+ }
+ if ($appendunit ne '') {
+ $element .= " $appendunit";
+ }
+ &LONCAPA_INTERNAL_DEBUG("Made response element :$element:");
+ }
+ }
+
+ foreach my $thisanswer (@{ $LONCAPA::CAPAresponse_answer->{'answers'} }) {
+ if (!defined($thisanswer)) {
+ return ('ERROR','answer was undefined');
+ }
+ }
+
+ my $allow_control_char = 0;
+ my $control_chars_removed = 0;
+ my $ansstring;
+ if ($type eq 'cs' || $type eq 'ci') {
+ if (ref($LONCAPA::CAPAresponse_answer->{'answers'}) eq 'ARRAY') {
+ foreach my $strans (@{$LONCAPA::CAPAresponse_answer->{'answers'}}) {
+ if (ref($strans) eq 'ARRAY') {
+ $ansstring = join("\0",@{$strans});
+ foreach my $item (@{$strans}) {
+ if ($item =~ /[\000-\037]/) {
+ $allow_control_char = 1;
+ }
+ }
+ }
+ }
+ }
+ }
+
+# &LONCAPA_INTERNAL_DEBUG(&LONCAPA_INTERNAL_Dumper($responses));
+ my %memoized;
+ if ($LONCAPA::CAPAresponse_answer->{'type'} eq 'ordered') {
+ for (my $i=0; $i{'answers'}[$i];
+ my $response = $responses->[$i];
+ my $key = "$answer\0$response";
+ my (@awards,@msgs);
+ for (my $j=0; $j[$j] =~ /[\000-\037]/) {
+ $response->[$j] =~ s/[\000-\037]//g;
+ $control_chars_removed = 1;
+ }
+ }
+ }
+ # See if we have preprocessor for string responses
+ if (($preprocess=~/\S/) && ($type eq 'cs' || $type eq 'ci')) {
+ if (defined(&$preprocess)) {
+ no strict 'refs';
+ $response->[$j]=&$preprocess($response->[$j]);
+ use strict 'refs';
+ }
+ }
+
+ my ($award,$msg) = &caparesponse_check($answer->[$j],
+ $response->[$j]);
+ if ($type eq 'cs' || $type eq 'ci') {
+ $error = &verify_stringresponse($type,$award,$response->[$j],
+ $answer->[$j]);
+ }
+ push(@awards,$award);
+ push(@msgs, $msg);
+ }
+ my ($award,$msg) =
+ &LONCAPA_INTERNAL_FINALIZEAWARDS(\@awards,\@msgs);
+ $memoized{$key} = [$award,$msg];
+ }
+ } else {
+ #FIXME broken with unorder responses where one is a
+ # and the other is a (need to delay parse til
+ # inside the loop?)
+ foreach my $response (@$responses) {
+ my $response_size = scalar(@{$response});
+ foreach my $answer (@{ $LONCAPA::CAPAresponse_answer->{'answers'} }) {
+ my $key = "$answer\0$response";
+ my $answer_size = scalar(@{$answer});
+ my ($award,$msg);
+ if ($answer_size > $response_size) {
+ $award = 'MISSING_ANSWER';
+ } elsif ($answer_size < $response_size) {
+ $award = 'EXTRA_ANSWER';
+ } else {
+ my (@awards,@msgs);
+ for (my $j=0; $j[$j] =~ /[\000-\037]/) {
+ $response->[$j] =~ s/[\000-\037]//g;
+ $control_chars_removed = 1;
+ }
+ }
+ }
+ # See if we have preprocessor
+ if (($preprocess=~/\S/) && ($type eq 'cs' || $type eq 'ci')) {
+ if (defined(&$preprocess)) {
+ no strict 'refs';
+ $response->[$j]=&$preprocess($response->[$j]);
+ use strict 'refs';
+ }
+ }
+
+ my ($award,$msg) = &caparesponse_check($answer->[$j],
+ $response->[$j]);
+ if ($type eq 'cs' || $type eq 'ci') {
+ $error = &verify_stringresponse($type,$award,$response->[$j],
+ $answer->[$j]);
+ }
+ push(@awards,$award);
+ push(@msgs, $msg);
+ }
+ ($award,$msg) =
+ &LONCAPA_INTERNAL_FINALIZEAWARDS(\@awards,\@msgs);
+ }
+ $memoized{$key} = [$award,$msg];
+ }
+ }
+ }
+
+ my ($final_award,$final_msg);
+ &init_permutation(scalar(@$responses),
+ $LONCAPA::CAPAresponse_answer->{'type'});
+
+ # possible FIXMEs
+ # - 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]);
+ $i++;
+
+ }
+ &LONCAPA_INTERNAL_DEBUG(" all awards ".join(':',@awards));
+
+ my ($possible_award,$possible_msg) =
+ &LONCAPA_INTERNAL_FINALIZEAWARDS(\@awards,\@msgs);
+ &LONCAPA_INTERNAL_DEBUG(" pos awards ".$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';
+ }
+}
+
+#
+# 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 {
- if ( $external::target eq "tex" ) {
- return @_[0];
- } else {
- return @_[1];
- }
+ 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") {
- return @_[0];
+ if ( $external::target eq "tex" ) {
+ return $_[1];
} else {
- return @_[2];
+ if ( $external::target eq "web" || $external::target eq "answer") {
+ return $_[2];
+ } else {
+ return $_[0];
+ }
}
- }
}
-sub problem {
- return '1';
+sub html {
+ if ( $external::target eq "web" ) {
+ return shift;
+ }
}
sub hinton {
- return 0;
+ return 0;
}
sub random {
- my ($start,$end,$step)=@_;
- if ( ! $RANDOMINIT ) { srand($external::randomseed); $RANDOMINIT=1; }
- my $num=1+int(($end-$start)/$step);
- my $result=$start + int(rand() * $num)*$step;
- return $result;
+ my ($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);
+ my @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);
+ my @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,$p);
+ &random_set_seed(@oldseed);
+ return @retArray;
}
-sub tan { sin($_[0]) / cos($_[0]) }
+sub abs { CORE::abs(shift) }
+sub sin { CORE::sin(shift) }
+sub cos { CORE::cos(shift) }
+sub exp { CORE::exp(shift) }
+sub int { CORE::int(shift) }
+sub log { CORE::log(shift) }
+sub atan2 { CORE::atan2($_[0],$_[1]) }
+sub sqrt { CORE::sqrt(shift) }
+
+sub tan { CORE::sin($_[0]) / CORE::cos($_[0]) }
#sub atan { atan2($_[0], 1); }
#sub acos { atan2(sqrt(1 - $_[0] * $_[0]), $_[0] ); }
#sub asin { atan2($_[0], sqrt(1- $_[0] * $_[0]) ); }
-sub log10 { log($_[0])/log(10); }
+
+sub log10 { CORE::log($_[0])/CORE::log(10); }
+
sub factorial {
- my $input = int(shift);
+ my $input = CORE::int(shift);
return "Error - unable to take factorial of an negative number ($input)" if $input < 0;
return "Error - factorial result is greater than system limit ($input)" if $input > 170;
return 1 if $input == 0;
@@ -181,12 +850,6 @@ sub max {
return pop @sorted;
}
-sub html {
- if ( $external::target eq "web" ) {
- return @_[0];
- }
-}
-
sub roundto {
my ($input,$n) = @_;
return sprintf('%.'.$n.'f',$input);
@@ -194,8 +857,9 @@ sub roundto {
sub to_string {
my ($input,$n) = @_;
- return sprintf('%'.$n,$input) if $n ne "";
return sprintf($input) if $n eq "";
+ $n = '.'.$n if $n !~ /^\./;
+ return sprintf('%'.$n,$input) if $n ne "";
}
sub sub_string {
@@ -204,39 +868,492 @@ sub sub_string {
}
sub pow {return $_[0] ** $_[1]; }
-sub ceil {return (($_[0]-int($_[0]))== 0.0) ? $_[0] : (int($_[0])+ 1); }
-sub floor {return int($_[0]); }
+sub ceil {return (($_[0]-CORE::int($_[0]))== 0.0) ? $_[0] : (($_[0] > 0) ? (CORE::int($_[0])+ 1) : CORE::int($_[0])); }
+sub floor {return (($_[0]-CORE::int($_[0]))== 0.0) ? $_[0] : (($_[0] > 0) ? CORE::int($_[0]) : (CORE::int($_[0])-1)); }
+#sub floor {return int($_[0]); }
sub format {
- my ($value,$fmt)=@_;
- return sprintf('%.'.$fmt,$value);
+ my ($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; }
+ my $result;
+ if ($fmt=~/s$/i) {
+ $result=&format_significant_figures($value,$fmt);
+ } else {
+ $fmt=~s/e/E/g;
+ $result=sprintf('%.'.$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 '<-' ) {
+ $formula .= '\ensuremath{\leftarrow} ';
+ next;
+ }
+ if ($token eq '<=>') {
+ if ($external::target eq 'web' &&
+ &EXT('request.browser.unicode')) {
+ $formula .= '⇌ ';
+ } else {
+ $formula .= &web('<=> ','\ensuremath{\rightleftharpoons} ',
+ '<=> ');
+ }
+ next;
+ }
+ if ($token eq '.') {
+ $formula =~ s/(\ \;| )$//;
+ $formula .= '·';
+ 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+)|$1|g;
+ # superscripts
+ $molecule =~ s|\^(\d*[+\-]*)|$1|g;
+ # strip whitespace
+ $molecule =~ s/\s*//g;
+ # forced space
+ $molecule =~ s/_/ /g;
+ $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=~/s$/i) {
+ $value=&format_significant_figures($value,$fmt);
+ } elsif ($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,$target); }
+ elsif ($commamode) { $result=&commaformat($result,$target); }
+ }
+ return $result;
+}
+
+sub commaformat {
+ my ($number,$target) = @_;
+ if ($number =~ /\./) {
+ while ($number =~ /([^0-9]*)([0-9]+)([^\.,][^\.,][^\.,])([,0-9]*\.[0-9]*)$/) {
+ $number = $1.$2.','.$3.$4;
+ }
+ } else {
+ while ($number =~ /^([^0-9]*)([0-9]+)([^,][^,][^,])([,0-9]*)$/) {
+ $number = $1.$2.','.$3.$4;
+ }
+ }
+ 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 $number;
+}
+
+# format of form ns or nS where n is an integer
+sub format_significant_figures {
+ my ($number,$format) = @_;
+ return '0' if ($number == 0);
+ # extract number of significant figures needed
+ my ($sig) = ($format =~ /(\d+)s/i);
+ # arbitrary choice - suggestions ?? or throw error message?
+ $sig = 3 if ($sig eq '');
+ # save the minus sign
+ my $sign = ($number < 0) ? '-' : '';
+ $number = abs($number);
+ # needed to correct for a number greater than 1 (or
+ my $power = ($number < 1) ? 0 : 1;
+ # could round up. Take the integer part of log10.
+ my $x10 = int(log($number)/log(10));
+ # find number with values left of decimal pt = # of sign figs.
+ my $xsig = $number*10**($sig-$x10-$power);
+ # get just digits left of decimal pt - also rounds off correctly
+ my $xint = sprintf('%.0f',$xsig);
+ # save any trailing zero's
+ my ($zeros) = ($xint =~ /(0+)$/);
+ # return number to original magnitude
+ my $numSig = $xint*10**($x10-$sig+$power);
+ # insert trailing zero's if have decimal point
+ $numSig =~ s/^(\d+)\.(\d+)(\e?(.*)?)$/$1\.$2$zeros$3/;
+ # put a decimal pt for number ending with 0 and length = # of sig fig
+ $numSig.='.' if (length($numSig) == $sig && $numSig =~ /0$/);
+ if (length($numSig) < $sig) {
+ $numSig.='.'.substr($zeros,0,($sig-length($numSig)));
+ }
+ # return number with sign
+ return $sign.$numSig;
+
}
sub map {
- my $num = $#_/2;
- my $i;
- my @used;
- my @permutation;
- for ($i=0; $i < $num;) {
- $rand = &random(1,$num,1);
- if ( $used[$rand] == '0' ) {
- $i++;
- $used[$rand]='1';
- $permutation[$i]=$rand;
- }
- }
- for ( $i=1 ; $i<$num+1 ; $i++ ) {
- ${$_[$permutation[$i]]}=$_[$i+$num]
- }
+ my ($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 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 {
+ my $sec = &EXT('request.course.sec');
+ $sec = '' if $sec eq "";
+ return $sec;
+}
+
+sub submission {
+ my ($partid,$responseid,$subnumber)=@_;
+ my $sub='';
+ if ($subnumber) { $sub=$subnumber.':'; }
+ return &EXT('user.resource.'.$sub.'resource.'.$partid.'.'.$responseid.'.submission');
+}
+
+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 {
+ my ($partid)=@_;
+ unless ($partid) { $partid=0; }
+ return &eval_time(&EXT('resource.'.$partid.'.answerdate'));
+}
+
+sub open_date_epoch {
+ 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;
+ }
+ 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 {
+ 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];
+ my $num = $_[0];
+ 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 $sum
+#}
+
+# expiremental idea
+sub proper_path {
+ my ($path)=@_;
+ if ( $external::target eq "tex" ) {
+ return '/home/httpd/html'.$path;
+ } else {
+ return $path;
+ }
}
-#$external::randomseed=time;
-#$a=2;
-#$b=2;
-#$c=2;
-#&map(1,\$a,\$b,\$c,3,4,5);
-#print $a."\n".$b."\n";
+