--- loncom/homework/default_homework.lcpm 2000/10/13 14:58:49 1.6
+++ loncom/homework/default_homework.lcpm 2005/03/31 17:12:37 1.98
@@ -1,97 +1,897 @@
-# file name (temp): default_homework
+# The LearningOnline Network with CAPA
# used by lonxml::xmlparse() as input variable $safeinit to Apache::run::run()
-#
#
-$RANDOMINIT=0;
+# $Id: default_homework.lcpm,v 1.98 2005/03/31 17:12:37 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;
+$"=' ';
+
+sub check_commas {
+ my ($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 ($answer,$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
+ 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' && $unit=~/\$/) {
+ if ($response!~/^\$/) { return "NO_UNIT: Missing \$ "; }
+ $response=~s/\$//g;
+ }
+ if ($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: 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 =='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:\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(" 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 ( $external::target eq "tex" ) {
- #$SCRIPT_RESULT.=@_[0];
- return @_[0];
- } else {
- #$SCRIPT_RESULT.=@_[1];
- 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 ( $external::target eq "tex" ) {
- #$SCRIPT_RESULT.=@_[1];
- return @_[1];
- } else {
- if ( $external::target eq "web") {
- #$SCRIPT_RESULT.=@_[0];
- return @_[0];
- } else {
- #$SCRIPT_RESULT.=@_[2];
- return @_[2];
- }
- }
-}
-
-sub problem {
- $SCRIPT_RESULT.='1';
- return '';
+ 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 ( $external::target eq "web" ) {
+ return shift;
+ }
}
sub hinton {
- return 0;
+ return 0;
}
sub random {
- my ($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 $result;
}
-sub tan { sin($_[0]) / cos($_[0]) }
-sub acos { atan2(sqrt(1 - $_[0] * $_[0]), $_[0] ); }
-sub asin { atan2($_[0], sqrt(1- $_[0] * $_[0]) ); }
+sub random_normal {
+ my ($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 html {
- if ( $external::target eq "web" ) {
- #$SCRIPT_RESULT.=@_[0];
- return @_[0];
- }
+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 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]-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)=@_;
- $SCRIPT_RESULT.=sprintf('%.'.$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 =~ /\./) { $alwaysperiod=1; }
+ if ($fmt=~/s$/i) {
+ $result=&format_significant_figures($value,$fmt);
+ } else {
+ $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 '<-' ) {
+ $formula .= '\ensuremath{\leftarrow} ';
+ next;
+ }
+ if ($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 ($number =~ /([^\.,]+)([^\.,][^\.,][^\.,])([,0-9]*\.[0-9]*)$/) {
+ $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 $number;
+}
+
+# format of form ns or nS where n is an integer
+sub format_significant_figures {
+ my ($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 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];
+ my $num = $_[0];
+ return $_[$num];
}
-#$external::randomseed=time;
-#$a=2;
-#$b=2;
-#$c=2;
-#&map(1,\$a,\$b,\$c,3,4,5);
-#print $a."\n".$b."\n";
+
+# expiremental idea
+sub proper_path {
+ my ($path)=@_;
+ if ( $external::target eq "tex" ) {
+ return '/home/httpd/html'.$path;
+ } else {
+ return $path;
+ }
+}
+
500 Internal Server Error
Internal Server Error
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misconfiguration and was unable to complete
your request.
Please contact the server administrator at
root@localhost to inform them of the time this error occurred,
and the actions you performed just before this error.
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in the server error log.