# The LearningOnline Network with CAPA
# used by lonxml::xmlparse() as input variable $safeinit to Apache::run::run()
#
# $Id: default_homework.lcpm,v 1.106 2005/12/20 20:00:42 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";
}
&LONCAPA_INTERNAL_DEBUG(" type is $type ");
if ($type eq 'cs' || $type eq 'ci') {
#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;
$response=~s/ +/ /g;
} elsif ($type eq 'mc') {
$answer=~s/[\s,]//g;
$response=~s/[\s,]//g;
}
if ($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="Got response :".join(':',@LONCAPA::CAPAresponse_answer).":\n";
&LONCAPA_INTERNAL_DEBUG("args ".join(':',%LONCAPA::CAPAresponse_args));
my @responselist;
my $type = $LONCAPA::CAPAresponse_args{'type'};
$result.="Got type :$type:\n";
if ($type ne '' && $#LONCAPA::CAPAresponse_answer > 0) {
(@responselist)=split(/,/,$response);
if (@responselist < @LONCAPA::CAPAresponse_answer) {
return 'MISSING_ANSWER';
}
if (@responselist > @LONCAPA::CAPAresponse_answer) {
return 'EXTRA_ANSWER';
}
} else {
(@responselist)=($response);
}
$result.="Initial final response :$responselist['-1']:\n";
my $unit;
if ($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";
$unit=~s/\s//;
my ($awards, @msgs, $i);
foreach my $thisanswer (@LONCAPA::CAPAresponse_answer) {
my ($msg,$aresult);
$result.="trying answer :$thisanswer:\n";
if (defined($thisanswer)) {
if ($unit eq '') {
($aresult,$msg)=&caparesponse_check($thisanswer,
$responselist[$i]);
} else {
($aresult,$msg)=&caparesponse_check($thisanswer,
$responselist[$i]." $unit");
}
} else {
$aresult='ERROR';
$msg='answer was undefined';
}
&LONCAPA_INTERNAL_DEBUG("after if $aresult -- $msg");
my ($temp)=split(/:/, $aresult);
$awards.="$temp,";
$result.=$aresult;
push(@msgs,$msg);
$i++;
}
chop($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);
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,$p);
&random_set_seed(@oldseed);
return @retArray;
}
sub abs { CORE::abs(shift) }
sub sin { CORE::sin(shift) }
sub cos { CORE::cos(shift) }
sub exp { CORE::exp(shift) }
sub int { CORE::int(shift) }
sub log { CORE::log(shift) }
sub atan2 { CORE::atan2($_[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] * $_[0]) ); }
sub log10 { CORE::log($_[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; }
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 '->' ) {
$formula .= '<m>\ensuremath{\rightarrow}</m> ';
next;
}
if ($token eq '<-' ) {
$formula .= '<m>\ensuremath{\leftarrow}</m> ';
next;
}
if ($token eq '<=>') {
if ($external::target eq 'web' &&
&EXT('request.browser.unicode')) {
$formula .= '⇌ ';
} else {
$formula .= &web('<=> ','<m>\ensuremath{\rightleftharpoons}</m> ',
'<=> ');
}
next;
}
if ($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+)|<sub>$1</sub>|g;
# superscripts
$molecule =~ s|\^(\d*[+\-]*)|<sup>$1</sup>|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<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 ($number =~ /([^0-9]*)([0-9]+)([^\.,][^\.,][^\.,])([,0-9]*\.[0-9]*)$/) {
$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 ($phrase,$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];
}
#&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;
}
}
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