version 1.12, 2000/11/29 00:51:57
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version 1.29, 2001/07/11 21:36:29
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Line 1
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Line 1
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# file name (temp): default_homework |
# file name (temp): default_homework |
# used by lonxml::xmlparse() as input variable $safeinit to Apache::run::run() |
# used by lonxml::xmlparse() as input variable $safeinit to Apache::run::run() |
# |
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# |
# |
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# Guy Albertelli |
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# |
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# 05/25/2001 H. K. Ng |
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# 05/31/2001 H. K. Ng |
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# |
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#init some globals |
$RANDOMINIT=0; |
$RANDOMINIT=0; |
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$pi=atan2(1,1)*4; |
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$rad2deg=180.0/$pi; |
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$deg2rad=$pi/180.0; |
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sub caparesponse_check { |
sub caparesponse_check { |
my $answer=''; #done |
my $answer=''; #done |
my $type=''; #done |
my $type=''; #done |
my $tol_type=''; # gets it's value from whether tol has a % or not done |
my $tol_type=''; # gets it's value from whether tol has a % or not done |
my $tol=''; #done |
my $tol=''; #done |
my $sig=''; |
my $sig=''; #done lowerbnd,upperbnd |
my $sig_lbound=''; |
my $sig_lbound=''; #done |
my $sig_ubound=''; |
my $sig_ubound=''; #done |
my $ans_fmt=''; |
my $ans_fmt=''; |
my $units=''; |
my $unit=''; #done |
my $calc=''; |
my $calc=''; |
my ($response,$expr)=@_; |
my ($response,$expr)=@_; |
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($answer,$type,$tol,$sig,$ans_fmt, |
($answer,$type,$tol,$sig,$ans_fmt, |
$units,$calc) = eval $expr.';return $answer,$type,$tol,$sig,$ans_fmt,$units,$calc'; |
$unit,$calc) = eval $expr.';return $answer,$type,$tol,$sig,$ans_fmt,$unit,$calc'; |
#type's definitons come from capaParser.h |
#type's definitons come from capaParser.h |
if ($type eq '' ) { |
if ($type eq '' ) { |
if ( $answer eq ($answer *1.0)) { $type = 2; |
if ( $answer eq ($answer *1.0)) { $type = 2; |
Line 53 sub caparesponse_check {
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Line 61 sub caparesponse_check {
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my $result = &caparesponse_capa_check_answer($response,$answer,$type, |
my $result = &caparesponse_capa_check_answer($response,$answer,$type, |
$tol_type,$tol, |
$tol_type,$tol, |
$sig_lbound,$sig_ubound, |
$sig_lbound,$sig_ubound, |
$ans_fmt,$units,$calc); |
$ans_fmt,$unit,$calc); |
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if ($result == '1') { $result='EXACT_ANS'; } |
if ($result == '1') { $result='EXACT_ANS'; } |
elsif ($result == '2') { $result='APPROX_ANS'; } |
elsif ($result == '2') { $result='APPROX_ANS'; } |
Line 67 sub caparesponse_check {
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Line 75 sub caparesponse_check {
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elsif ($result =='10') { $result='SUB_RECORDED'; } |
elsif ($result =='10') { $result='SUB_RECORDED'; } |
elsif ($result =='11') { $result='BAD_FORMULA'; } |
elsif ($result =='11') { $result='BAD_FORMULA'; } |
elsif ($result =='12') { $result='WANTED_NUMERIC'; } |
elsif ($result =='12') { $result='WANTED_NUMERIC'; } |
else {$result = "ERROR: Unknown Result: $result";} |
else {$result = "ERROR: Unknown Result:$result:$@:";} |
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return "$result:$error:$answer:$type|$tol|$tol_type|$sig:$sig_lbound:$sig_ubound|$units"; |
return "$result:<br />Error $error:<br />Answer $answer:<br />Response $response:<br />$type|$tol|$tol_type|$sig:$sig_lbound:$sig_ubound|$units<br />"; |
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} |
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sub caparesponse_check_list { |
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my ($response,$expr)=@_; |
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my $result=''; |
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my $aresult=''; |
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my $current_answer; |
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my $answer = eval $expr.';return $answer'; |
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my (@list) = eval $answer; |
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my (@responselist)=split /,/,$response; |
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my $unit=''; |
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$result.="Final response :$responselist['-1']:<br />"; |
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if ( $responselist['-1']=~ /(.*[^\s])\s+([^\s]+)/ ) { |
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$responselist['-1']=$1; |
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$unit=$2; |
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} |
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$result.="Final response :$responselist['-1']:<br />"; |
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$unit=~s/\s//; |
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my $i=0; |
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my $awards=''; |
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for ($i=0; $i<@list;$i++) { |
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if ($unit eq '') { |
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$aresult=&caparesponse_check($responselist[$i], |
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$expr.';my $answer='.$list[$i].';'); |
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} else { |
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$aresult=&caparesponse_check($responselist[$i]." $unit", |
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$expr.';my $answer='.$list[$i].';'); |
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} |
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my ($temp)=split /:/, $aresult; |
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$awards.="$temp,"; |
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$result.=$aresult; |
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} |
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chop $awards; |
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return "$awards:<br />$result"; |
} |
} |
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sub tex { |
sub tex { |
Line 80 sub tex {
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Line 122 sub tex {
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} |
} |
} |
} |
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sub var_in_tex { |
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if ( $external::target eq "tex" ) { |
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return @_[0]; |
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} else { |
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return ""; |
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} |
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} |
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sub web { |
sub web { |
if ( $external::target eq "tex" ) { |
if ( $external::target eq "tex" ) { |
return @_[1]; |
return @_[1]; |
} else { |
} else { |
if ( $external::target eq "web") { |
if ( $external::target eq "web") { |
return @_[0]; |
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} else { |
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return @_[2]; |
return @_[2]; |
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} else { |
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return @_[0]; |
} |
} |
} |
} |
} |
} |
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sub html { |
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if ( $external::target eq "web" ) { |
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return shift; |
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} |
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} |
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sub problem { |
sub problem { |
return '1'; |
return '1'; |
} |
} |
Line 108 sub random {
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Line 164 sub random {
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return $result; |
return $result; |
} |
} |
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sub tan { sin($_[0]) / cos($_[0]) } |
sub random_normal { |
sub acos { atan2(sqrt(1 - $_[0] * $_[0]), $_[0] ); } |
my ($item_cnt,$seed,$av,$std_dev) = @_; |
sub asin { atan2($_[0], sqrt(1- $_[0] * $_[0]) ); } |
my @retArray; |
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&random_set_seed_from_phrase($seed); |
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@retArray=&math_random_normal($item_cnt,$av,$std_dev); |
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return @retArray; |
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} |
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sub html { |
sub random_beta { |
if ( $external::target eq "web" ) { |
my ($item_cnt,$seed,$aa,$bb) = @_; |
return @_[0]; |
my @retArray; |
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&random_set_seed_from_phrase($seed); |
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@retArray=&math_random_beta($item_cnt,$aa,$bb); |
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return @retArray; |
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} |
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sub random_gamma { |
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my ($item_cnt,$seed,$a,$r) = @_; |
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my @retArray; |
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&random_set_seed_from_phrase($seed); |
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@retArray=&math_random_gamma($item_cnt,$a,$r); |
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return @retArray; |
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} |
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sub random_exponential { |
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my ($item_cnt,$seed,$av) = @_; |
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my @retArray; |
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&random_set_seed_from_phrase($seed); |
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@retArray=&math_random_exponential($item_cnt,$av); |
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return @retArray; |
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} |
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sub random_poisson { |
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my ($item_cnt,$seed,$mu) = @_; |
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my @retArray; |
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&random_set_seed_from_phrase($seed); |
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@retArray=&math_random_poisson($item_cnt,$mu); |
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return @retArray; |
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} |
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sub random_chi { |
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my ($item_cnt,$seed,$df) = @_; |
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my @retArray; |
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&random_set_seed_from_phrase($seed); |
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@retArray=&math_random_chi_square($item_cnt,$df); |
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return @retArray; |
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} |
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sub random_noncentral_chi { |
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my ($item_cnt,$seed,$df,$nonc) = @_; |
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my @retArray; |
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&random_set_seed_from_phrase($seed); |
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@retArray=&math_random_noncentral_chi_square($item_cnt,$df,$nonc); |
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return @retArray; |
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} |
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sub random_f { |
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my ($item_cnt,$seed,$dfn,$dfd) = @_; |
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my @retArray; |
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&random_set_seed_from_phrase($seed); |
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@retArray=&math_random_f($item_cnt,$dfn,$dfd); |
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return @retArray; |
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} |
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sub random_noncentral_f { |
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my ($item_cnt,$seed,$dfn,$dfd,$nonc) = @_; |
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my @retArray; |
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&random_set_seed_from_phrase($seed); |
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@retArray=&math_random_noncentral_f($item_cnt,$dfn,$dfd,$nonc); |
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return @retArray; |
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} |
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sub random_multivariate_normal { |
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my ($item_cnt,$seed,@mean) = @_; |
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return "Number of deviates must be greater than 0" if $item_cnt <= 0; |
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my (@covar,@retArray); |
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my $ind = 0; |
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while ($ind<$item_cnt) { |
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push @covar, pop (@mean); |
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$ind++; |
} |
} |
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&random_set_seed_from_phrase($seed); |
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@retArray=&math_random_multivariate_normal($item_cnt,@mean,@covar); |
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return @retArray; |
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} |
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sub random_multinomial { |
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my ($item_cnt,$seed,@p) = @_; |
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my @retArray; |
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&random_set_seed_from_phrase($seed); |
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@retArray=&math_random_multinomial($item_cnt,@p); |
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return @retArray; |
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} |
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sub random_permutation { |
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my ($seed,@inArray) = @_; |
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my @retArray; |
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&random_set_seed_from_phrase($seed); |
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@retArray=&math_random_permutation(@inArray); |
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return @retArray; |
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} |
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sub random_uniform { |
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my ($item_cnt,$seed,$low,$high) = @_; |
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my @retArray; |
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&random_set_seed_from_phrase($seed); |
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@retArray=&math_random_uniform($item_cnt,$low,$high); |
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return @retArray; |
} |
} |
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sub random_uniform_integer { |
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my ($item_cnt,$seed,$low,$high) = @_; |
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my @retArray; |
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&random_set_seed_from_phrase($seed); |
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@retArray=&math_random_uniform_integer($item_cnt,$low,$high); |
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return @retArray; |
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} |
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sub random_binomial { |
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my ($item_cnt,$seed,$nt,$p) = @_; |
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my @retArray; |
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&random_set_seed_from_phrase($seed); |
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@retArray=&math_random_binomial($item_cnt,$nt,$p); |
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return @retArray; |
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} |
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sub random_negative_binomial { |
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my ($item_cnt,$seed,$ne,$p) = @_; |
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my @retArray; |
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&random_set_seed_from_phrase($seed); |
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@retArray=&math_random_negative_binomial($item_cnt,$ne,$p); |
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return @retArray; |
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} |
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sub abs { abs(shift) } |
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sub sin { sin(shift) } |
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sub cos { cos(shift) } |
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sub exp { exp(shift) } |
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sub int { int(shift) } |
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sub log { log(shift) } |
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sub atan2 { atan2($_[0],$_[1]) } |
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sub sqrt { sqrt(shift) } |
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sub tan { sin($_[0]) / cos($_[0]) } |
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#sub atan { atan2($_[0], 1); } |
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#sub acos { atan2(sqrt(1 - $_[0] * $_[0]), $_[0] ); } |
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#sub asin { atan2($_[0], sqrt(1- $_[0] * $_[0]) ); } |
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sub log10 { log($_[0])/log(10); } |
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sub factorial { |
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my $input = int(shift); |
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return "Error - unable to take factorial of an negative number ($input)" if $input < 0; |
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return "Error - factorial result is greater than system limit ($input)" if $input > 170; |
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return 1 if $input == 0; |
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my $result = 1; |
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for (my $i=2; $i<=$input; $i++) { $result *= $i } |
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return $result; |
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} |
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sub sgn { |
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return -1 if $_[0] < 0; |
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return 0 if $_[0] == 0; |
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return 1 if $_[0] > 0; |
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} |
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sub min { |
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my @sorted = sort { $a <=> $b || $a cmp $b } @_; |
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return shift @sorted; |
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} |
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sub max { |
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my @sorted = sort { $a <=> $b || $a cmp $b } @_; |
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return pop @sorted; |
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} |
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sub roundto { |
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my ($input,$n) = @_; |
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return sprintf('%.'.$n.'f',$input); |
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} |
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sub to_string { |
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my ($input,$n) = @_; |
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return sprintf($input) if $n eq ""; |
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$n = '.'.$n if $n !~ /^\./; |
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return sprintf('%'.$n,$input) if $n ne ""; |
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} |
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sub sub_string { |
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my ($str,$start,$len) = @_; |
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return substr($str,$start-1,$len); |
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} |
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sub pow {return $_[0] ** $_[1]; } |
sub pow {return $_[0] ** $_[1]; } |
sub ceil {return (($_[0]-int($_[0]))== 0.0) ? $_[0] : (int($_[0])+ 1); } |
sub ceil {return (($_[0]-int($_[0]))== 0.0) ? $_[0] : (($_[0] > 0) ? (int($_[0])+ 1) : int($_[0])); } |
sub floor {return int($_[0]); } |
sub floor {return (($_[0]-int($_[0]))== 0.0) ? $_[0] : (($_[0] > 0) ? int($_[0]) : (int($_[0])-1)); } |
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#sub floor {return int($_[0]); } |
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sub format { |
sub format { |
my ($value,$fmt)=@_; |
my ($value,$fmt)=@_; |
Line 129 sub format {
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Line 368 sub format {
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} |
} |
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sub map { |
sub map { |
my $num = $#_/2; |
my ($phrase,$dest,$source)=@_; |
my $i; |
my @seed = &random_seed_from_phrase($phrase); |
my @used; |
&random_set_seed(@seed); |
my @permutation; |
my $destct = scalar(@$dest); |
for ($i=0; $i < $num;) { |
if (!$source) { |
$rand = &random(1,$num,1); |
my @output; |
if ( $used[$rand] == '0' ) { |
my @idx = &math_random_permuted_index($destct); |
$i++; |
my $ctr = 0; |
$used[$rand]='1'; |
while ($ctr < $destct) { |
$permutation[$i]=$rand; |
$output[$ctr] = $$dest[$idx[$ctr]]; |
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$ctr++; |
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} |
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return @output; |
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} else { |
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my $num = scalar(@$source); |
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my @idx = &math_random_permuted_index($num); |
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my $ctr = 0; |
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my $tot = $num; |
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$tot = $destct if $destct < $num; |
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if (ref($$dest[0])) { |
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while ($ctr < $tot) { |
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${$$dest[$ctr]} = $$source[$idx[$ctr]]; |
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$ctr++; |
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} |
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} else { |
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while ($ctr < $tot) { |
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$$dest[$ctr] = $$source[$idx[$ctr]]; |
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$ctr++; |
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} |
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} |
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} |
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} |
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sub rmap { |
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my ($phrase,$dest,$source)=@_; |
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my @seed = &random_seed_from_phrase($phrase); |
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&random_set_seed(@seed); |
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my $destct = scalar(@$dest); |
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if (!$source) { |
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my @idx = &math_random_permuted_index($destct); |
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my $ctr = 0; |
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my @r_idx; |
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while ($ctr < $destct) { |
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$r_idx[$idx[$ctr]] = $ctr; |
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$ctr++; |
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} |
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my @output; |
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$ctr = 0; |
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while ($ctr < $destct) { |
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$output[$ctr] = $$dest[$r_idx[$ctr]]; |
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$ctr++; |
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} |
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return @output; |
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} else { |
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my $num = scalar(@$source); |
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my @idx = &math_random_permuted_index($num); |
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my $ctr = 0; |
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my $tot = $num; |
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$tot = $destct if $destct < $num; |
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my @r_idx; |
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while ($ctr < $tot) { |
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$r_idx[$idx[$ctr]] = $ctr; |
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$ctr++; |
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} |
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$ctr = 0; |
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if (ref($$dest[0])) { |
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while ($ctr < $tot) { |
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${$$dest[$ctr]} = $$source[$r_idx[$ctr]]; |
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$ctr++; |
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} |
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} else { |
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while ($ctr < $tot) { |
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$$dest[$ctr] = $$source[$r_idx[$ctr]]; |
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$ctr++; |
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} |
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} |
} |
} |
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} |
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sub capa_id { return } |
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sub problem { return } |
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sub name{ |
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my $fullname = &EXT('environment.lastname').', '.&EXT('environment.firstname').' '.&EXT('environment.middlename'); |
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$fullname = "" if $fullname eq ", "; |
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$fullname =~ s/\%2d/-/g; |
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return $fullname; |
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} |
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sub student_number { |
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my $id = &EXT('environment.id'); |
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$id = '' if $id eq ""; |
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return $id; |
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} |
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sub class { |
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my $course = &EXT('course.description'); |
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$course = '' if $course eq ""; |
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return $course; |
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} |
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sub sec { |
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my $sec = &EXT('request.course.sec'); |
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$sec = '' if $sec eq ""; |
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return $sec; |
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} |
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sub open_date { |
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my @dc = split(/\s+/,localtime(&EXT('resource.0.opendate'))); |
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return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969); |
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my @hm = split(/:/,$dc[3]); |
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my $ampm = " am"; |
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if ($hm[0] > 12) { |
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$hm[0]-=12; |
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$ampm = " pm"; |
} |
} |
for ( $i=1 ; $i<$num+1 ; $i++ ) { |
return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm; |
${$_[$permutation[$i]]}=$_[$i+$num] |
} |
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sub due_date { |
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my @dc = split(/\s+/,localtime(&EXT('resource.0.duedate'))); |
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return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969); |
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my @hm = split(/:/,$dc[3]); |
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my $ampm = " am"; |
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if ($hm[0] > 12) { |
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$hm[0]-=12; |
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$ampm = " pm"; |
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} |
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return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm; |
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# return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$dc[3]; |
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} |
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sub answer_date { |
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my @dc = split(/\s+/,localtime(&EXT('resource.0.answerdate'))); |
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return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969); |
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my @hm = split(/:/,$dc[3]); |
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my $ampm = " am"; |
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if ($hm[0] > 12) { |
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$hm[0]-=12; |
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$ampm = " pm"; |
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} |
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return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm; |
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# return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$dc[3]; |
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} |
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sub array_moments { |
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my @input=@_; |
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my (@output,$N); |
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$N=scalar (@input); |
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$output[0]=$N; |
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if ($N <= 1) { |
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$output[1]=$input[0]; |
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$output[1]="Input array not defined" if ($N == 0); |
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$output[2]="variance undefined for N<=1"; |
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$output[3]="skewness undefined for N<=1"; |
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$output[4]="kurtosis undefined for N<=1"; |
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return @output; |
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} |
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my $sum=0; |
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foreach my $line (@input) { |
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$sum+=$line; |
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} |
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$output[1] = $sum/$N; |
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my ($x,$sdev,$var,$skew,$kurt) = 0; |
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foreach my $line (@input) { |
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$x=$line-$output[1]; |
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$var+=$x**2; |
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$skew+=$x**3; |
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$kurt+=$x**4; |
} |
} |
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$output[2]=$var/($N-1); |
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$sdev=sqrt($output[2]); |
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if ($sdev == 0) { |
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$output[3]="inf-variance=0"; |
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$output[4]="inf-variance=0"; |
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return @output; |
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} |
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$output[3]=$skew/($sdev**3*$N); |
|
$output[4]=$kurt/($sdev**4*$N)-3; |
|
return @output; |
} |
} |
|
|
sub choose { |
sub choose { |
my $num = $_[0]; |
my $num = $_[0]; |
return $_[$num]; |
return $_[$num]; |
} |
} |
#$external::randomseed=time; |
|
#$a=2; |
|
#$b=2; |
|
#$c=2; |
|
#&map(1,\$a,\$b,\$c,3,4,5); |
|
#print $a."\n".$b."\n"; |
|