# file name (temp): default_homework
# used by lonxml::xmlparse() as input variable $safeinit to Apache::run::run()
#
# Guy Albertelli
#
# 05/25/2001 H. K. Ng
# 05/31/2001 H. K. Ng
#
#init some globals
$RANDOMINIT=0;
$pi=atan2(1,1)*4;
$rad2deg=180.0/$pi;
$deg2rad=$pi/180.0;
sub caparesponse_check {
#not properly used yet: calc
#not to be used: $ans_fmt
my ($answer,$type,$tol,$sig,$ans_fmt,$unit,$calc) =
eval $_[1].';return ($answer,$type,$tol,$sig,$ans_fmt,$unit,$calc);';
my $tol_type=''; # gets it's value from whether tol has a % or not done
my $sig_lbound=''; #done
my $sig_ubound=''; #done
my ($response,$expr)=@_;
#type's definitons come from capaParser.h
my $message='';
#remove leading and trailing whitespace
if ($response=~ /^\s|\s$/) {
$response=~ s:^\s+|\s+$::g;
$message .="Removed ws now :$response:<br />";
} else {
$message .="no ws in :$response:<br />";
}
if ($type eq '' ) {
$message .= "Didn't find a type :$type:$expr: defaulting<br />";
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,
$ans_fmt,$unit,$calc);
if ($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:$result:$@:";}
return "$result:<br />Error $error:<br />Answer $answer:<br />Response $response:<br /> type-$type|$tol|$tol_type|$sig:$sig_lbound:$sig_ubound|$unit|<br />$message$expr";
}
sub get_array_args {
my ($expr,$arg)=@_;
# do these first, because who knows what varname the instructor might have used
# but it probably isn't $CAPARESPONSE_CHECK_LIST_answer
my $CAPARESPONSE_CHECK_LIST_answer = eval $expr.';return $'.$arg; #'
my (@list) = eval $CAPARESPONSE_CHECK_LIST_answer;
my $result='';
$result.="error:$@:<br />";
# if the eval fails just use what is in the answer exactly
if (!defined(@list) || !defined($list[0])) {
$result.="list zero is undefined<br />";
$list[0]=$CAPARESPONSE_CHECK_LIST_answer;
}
return @list;
}
sub caparesponse_check_list {
my ($response,$expr)=@_;
my (@list) = &get_array_args($expr,'answer');
my $aresult='';
my $current_answer;
$result.="Got response :$CAPARESPONSE_CHECK_LIST_answer:$list[0]:<br />";
my @responselist;
my $type =eval $expr.';return $answer;';
if ($type ne '' && $#list > 0) {
(@responselist)=split /,/,$response;
} else {
(@responselist)=($response);
}
my $unit='';
$result.="Initial final response :$responselist['-1']:<br />";
if ($type eq '') {
#for numerical problems split off the unit
if ( $responselist['-1']=~ /(.*[^\s])\s+([^\s]+)/ ) {
$responselist['-1']=$1;
$unit=$2;
}
}
$result.="Final final response :$responselist['-1']:<br />";
$result.=":$#list: answers<br />";
$unit=~s/\s//;
my $i=0;
my $awards='';
for ($i=0; $i<@list;$i++) {
$result.="trying answer :$list[$i]:<br />";
if ($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:<br />$result";
}
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") {
return @_[2];
} else {
return @_[0];
}
}
}
sub html {
if ( $external::target eq "web" ) {
return shift;
}
}
sub problem {
return '1';
}
sub hinton {
return 0;
}
sub random {
my ($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 $result;
}
sub random_normal {
my ($item_cnt,$seed,$av,$std_dev) = @_;
my @retArray;
&random_set_seed_from_phrase($seed);
@retArray=&math_random_normal($item_cnt,$av,$std_dev);
return @retArray;
}
sub random_beta {
my ($item_cnt,$seed,$aa,$bb) = @_;
my @retArray;
&random_set_seed_from_phrase($seed);
@retArray=&math_random_beta($item_cnt,$aa,$bb);
return @retArray;
}
sub random_gamma {
my ($item_cnt,$seed,$a,$r) = @_;
my @retArray;
&random_set_seed_from_phrase($seed);
@retArray=&math_random_gamma($item_cnt,$a,$r);
return @retArray;
}
sub random_exponential {
my ($item_cnt,$seed,$av) = @_;
my @retArray;
&random_set_seed_from_phrase($seed);
@retArray=&math_random_exponential($item_cnt,$av);
return @retArray;
}
sub random_poisson {
my ($item_cnt,$seed,$mu) = @_;
my @retArray;
&random_set_seed_from_phrase($seed);
@retArray=&math_random_poisson($item_cnt,$mu);
return @retArray;
}
sub random_chi {
my ($item_cnt,$seed,$df) = @_;
my @retArray;
&random_set_seed_from_phrase($seed);
@retArray=&math_random_chi_square($item_cnt,$df);
return @retArray;
}
sub random_noncentral_chi {
my ($item_cnt,$seed,$df,$nonc) = @_;
my @retArray;
&random_set_seed_from_phrase($seed);
@retArray=&math_random_noncentral_chi_square($item_cnt,$df,$nonc);
return @retArray;
}
sub random_f {
my ($item_cnt,$seed,$dfn,$dfd) = @_;
my @retArray;
&random_set_seed_from_phrase($seed);
@retArray=&math_random_f($item_cnt,$dfn,$dfd);
return @retArray;
}
sub random_noncentral_f {
my ($item_cnt,$seed,$dfn,$dfd,$nonc) = @_;
my @retArray;
&random_set_seed_from_phrase($seed);
@retArray=&math_random_noncentral_f($item_cnt,$dfn,$dfd,$nonc);
return @retArray;
}
sub random_multivariate_normal {
my ($item_cnt,$seed,$mean,$covar) = @_;
&random_set_seed_from_phrase($seed);
@retArray=&math_random_multivariate_normal($item_cnt,@$mean,@$covar);
return @retArray;
}
sub random_multinomial {
my ($item_cnt,$seed,@p) = @_;
my @retArray;
&random_set_seed_from_phrase($seed);
@retArray=&math_random_multinomial($item_cnt,@p);
return @retArray;
}
sub random_permutation {
my ($seed,@inArray) = @_;
my @retArray;
&random_set_seed_from_phrase($seed);
@retArray=&math_random_permutation(@inArray);
return @retArray;
}
sub random_uniform {
my ($item_cnt,$seed,$low,$high) = @_;
my @retArray;
&random_set_seed_from_phrase($seed);
@retArray=&math_random_uniform($item_cnt,$low,$high);
return @retArray;
}
sub random_uniform_integer {
my ($item_cnt,$seed,$low,$high) = @_;
my @retArray;
&random_set_seed_from_phrase($seed);
@retArray=&math_random_uniform_integer($item_cnt,$low,$high);
return @retArray;
}
sub random_binomial {
my ($item_cnt,$seed,$nt,$p) = @_;
my @retArray;
&random_set_seed_from_phrase($seed);
@retArray=&math_random_binomial($item_cnt,$nt,$p);
return @retArray;
}
sub random_negative_binomial {
my ($item_cnt,$seed,$ne,$p) = @_;
my @retArray;
&random_set_seed_from_phrase($seed);
@retArray=&math_random_negative_binomial($item_cnt,$ne,$p);
return @retArray;
}
sub abs { abs(shift) }
sub sin { sin(shift) }
sub cos { cos(shift) }
sub exp { exp(shift) }
sub int { int(shift) }
sub log { log(shift) }
sub atan2 { atan2($_[0],$_[1]) }
sub sqrt { sqrt(shift) }
sub tan { sin($_[0]) / 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 factorial {
my $input = int(shift);
return "Error - unable to take factorial of an negative number ($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) ? $_[0] : (($_[0] > 0) ? (int($_[0])+ 1) : int($_[0])); }
sub floor {return (($_[0]-int($_[0]))== 0.0) ? $_[0] : (($_[0] > 0) ? int($_[0]) : (int($_[0])-1)); }
#sub floor {return int($_[0]); }
sub format {
my ($value,$fmt)=@_;
return sprintf('%.'.$fmt,$value);
}
sub map {
my ($phrase,$dest,$source)=@_;
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] = $$dest[$idx[$ctr]];
$ctr++;
}
return @output;
} else {
my $num = scalar(@$source);
my @idx = &math_random_permuted_index($num);
my $ctr = 0;
my $tot = $num;
$tot = $destct if $destct < $num;
if (ref($$dest[0])) {
while ($ctr < $tot) {
${$$dest[$ctr]} = $$source[$idx[$ctr]];
$ctr++;
}
} else {
while ($ctr < $tot) {
$$dest[$ctr] = $$source[$idx[$ctr]];
$ctr++;
}
}
}
}
sub rmap {
my ($phrase,$dest,$source)=@_;
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] = $$dest[$r_idx[$ctr]];
$ctr++;
}
return @output;
} else {
my $num = scalar(@$source);
my @idx = &math_random_permuted_index($num);
my $ctr = 0;
my $tot = $num;
$tot = $destct if $destct < $num;
my @r_idx;
while ($ctr < $tot) {
$r_idx[$idx[$ctr]] = $ctr;
$ctr++;
}
$ctr = 0;
if (ref($$dest[0])) {
while ($ctr < $tot) {
${$$dest[$ctr]} = $$source[$r_idx[$ctr]];
$ctr++;
}
} else {
while ($ctr < $tot) {
$$dest[$ctr] = $$source[$r_idx[$ctr]];
$ctr++;
}
}
}
}
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;
# return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$dc[3];
}
sub answer_date {
my @dc = split(/\s+/,localtime(&EXT('resource.0.answerdate')));
return '' if ($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;
# return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$dc[3];
}
sub array_moments {
my @input=@_;
my (@output,$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);
$sdev=sqrt($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];
}
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