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Diff for /loncom/homework/default_homework.lcpm between versions 1.100 and 1.132

version 1.100, 2005/06/17 20:24:56 version 1.132, 2008/03/06 14:04:09
Line 33  $pi=atan2(1,1)*4; Line 33  $pi=atan2(1,1)*4;
 $rad2deg=180.0/$pi;  $rad2deg=180.0/$pi;
 $deg2rad=$pi/180.0;  $deg2rad=$pi/180.0;
 $"=' ';  $"=' ';
   use strict;
   {
       my $n = 0;
       my $total = 0;
       my $num_left = 0;
       my @order;
       my $type;
   
       sub init_permutation {
    my ($size,$requested_type) = @_;
    @order = (0..$size-1);
    $n = $size;
    $type = $requested_type;
    if ($type eq 'ordered') {
       $total = $num_left = 1;
    } elsif ($type eq 'unordered') {
       $total = $num_left = &factorial($size);
    } else {
       die("Unkown type: $type");
    }
       }
   
       sub get_next_permutation {
    if ($num_left == $total) {
       $num_left--;
       return \@order;
    }
   
    # Find largest index j with a[j] < a[j+1]
   
    my $j = scalar(@order) - 2;
    while ($order[$j] > $order[$j+1]) {
       $j--;
    }
   
    # Find index k such that a[k] is smallest integer
    # greater than a[j] to the right of a[j]
   
    my $k = scalar(@order) - 1;
    while ($order[$j] > $order[$k]) {
       $k--;
    }
   
    # Interchange a[j] and a[k]
   
    @order[($k,$j)] = @order[($j,$k)];
   
    # Put tail end of permutation after jth position in increasing order
   
    my $r = scalar(@order) - 1;
    my $s = $j + 1;
   
    while ($r > $s) {
       @order[($s,$r)]=@order[($r,$s)];
       $r--;
       $s++;
    }
   
    $num_left--;
    return(\@order);
       }
       
       sub get_permutations_left {
    return $num_left;
       }
   }
   
 sub check_commas {  sub check_commas {
     my ($response)=@_;      my ($response)=@_;
Line 60  sub check_commas { Line 126  sub check_commas {
     return 1;      return 1;
 }  }
   
   
 sub caparesponse_check {  sub caparesponse_check {
     my ($answer,$response)=@_;      my ($answer,$response)=@_;
     #not properly used yet: calc      #not properly used yet: calc
Line 78  sub caparesponse_check { Line 145  sub caparesponse_check {
   
   
     #type's definitons come from capaParser.h      #type's definitons come from capaParser.h
     my $message='';  
     #remove leading and trailing whitespace      #remove leading and trailing whitespace
     if (!defined($response)) {      if (!defined($response)) {
  $response='';   $response='';
     }      }
     if ($response=~ /^\s|\s$/) {      if ($response=~ /^\s|\s$/) {
  $response=~ s:^\s+|\s+$::g;   $response=~ s:^\s+|\s+$::g;
  $message .="Removed ws now :$response:\n";   &LONCAPA_INTERNAL_DEBUG("Removed ws now :$response:");
     } else {  
  $message .="no ws in :$response:\n";  
     }      }
     &LONCAPA_INTERNAL_DEBUG(" type is $type ");  
       #&LONCAPA_INTERNAL_DEBUG(" type is $type ");
     if ($type eq 'cs' || $type eq 'ci') {      if ($type eq 'cs' || $type eq 'ci') {
  #for string answers make surec all places spaces occur, there is    #for string answers make sure all places spaces occur, there is 
         #really only 1 space, in both the answer and the response          #really only 1 space, in both the answer and the response
  $answer=~s/ +/ /g;   $answer=~s/ +/ /g;
  $response=~s/ +/ /g;   $response=~s/ +/ /g;
Line 100  sub caparesponse_check { Line 166  sub caparesponse_check {
  $response=~s/[\s,]//g;   $response=~s/[\s,]//g;
     }      }
     if ($type eq 'float' && $unit=~/\$/) {      if ($type eq 'float' && $unit=~/\$/) {
  if ($response!~/^\$/)  { return "NO_UNIT: Missing \$ "; }   if ($response!~/^\$|\$$/)  { return ('NO_UNIT', undef); }
  $response=~s/\$//g;   $response=~s/\$//g;
     }      }
     if ($type eq 'float' && $unit=~/\,/ && (&check_commas($response)<0)) {      if ($type eq 'float' && $unit=~/\,/ && (&check_commas($response)<0)) {
Line 110  sub caparesponse_check { Line 176  sub caparesponse_check {
     $unit=~s/[\$,]//g;      $unit=~s/[\$,]//g;
     if ($type eq 'float') { $response=~s/,//g; }      if ($type eq 'float') { $response=~s/,//g; }
   
     if (length($response) > 500) { return "TOO_LONG: Answer too long"; }      if (length($response) > 500) { return ('TOO_LONG',undef); }
   
     if ($type eq '' ) {      if ($type eq '' ) {
  $message .= "Didn't find a type :$type: defaulting\n";   &LONCAPA_INTERNAL_DEBUG("Didn't find a type :$type: defaulting");
  if ( $answer eq ($answer *1.0)) { $type = 2;   if ( $answer eq ($answer *1.0)) { $type = 2;
       } else { $type = 3; }        } else { $type = 3; }
     } else {      } else {
  if ($type eq 'cs')    { $type = 4; }   if    ($type eq 'cs')    { $type = 4; }
  elsif ($type eq 'ci')    { $type = 3 }   elsif ($type eq 'ci')    { $type = 3 }
  elsif ($type eq 'mc')    { $type = 5; }   elsif ($type eq 'mc')    { $type = 5; }
  elsif ($type eq 'fml')   { $type = 8; }   elsif ($type eq 'fml')   { $type = 8; }
           elsif ($type eq 'math')  { $type = 9; }
  elsif ($type eq 'subj')  { $type = 7; }   elsif ($type eq 'subj')  { $type = 7; }
  elsif ($type eq 'float') { $type = 2; }   elsif ($type eq 'float') { $type = 2; }
  elsif ($type eq 'int')   { $type = 1; }   elsif ($type eq 'int')   { $type = 1; }
  else { return "ERROR: Unknown type of answer: $type" }   else { return ('ERROR', "Unknown type of answer: $type") }
     }      }
   
     my $points;      my $points;
Line 132  sub caparesponse_check { Line 199  sub caparesponse_check {
     #formula type setup the sample points      #formula type setup the sample points
     if ($type eq '8') {      if ($type eq '8') {
  ($id_list,$points)=split(/@/,$samples);   ($id_list,$points)=split(/@/,$samples);
  $message.="Found :$id_list:$points: points in $samples\n";   &LONCAPA_INTERNAL_DEBUG("Found :$id_list:$points: points in $samples");
     }      }
     if ($tol eq '') {      if ($tol eq '') {
  $tol=0.0;   $tol=0.0;
Line 149  sub caparesponse_check { Line 216  sub caparesponse_check {
     ($sig_ubound,$sig_lbound)=&LONCAPA_INTERNAL_get_sigrange($sig);      ($sig_ubound,$sig_lbound)=&LONCAPA_INTERNAL_get_sigrange($sig);
   
     my $reterror="";      my $reterror="";
     my $result = &caparesponse_capa_check_answer($response,$answer,$type,      my $result;
       if ((($type eq '9') || ($type eq '8')) && ($response=~/\=/)) { return ('BAD_FORMULA','Please submit just an expression, not an equation.'); }
       if ($type eq '9') {
         $result = &maxima_check(&maxima_cas_formula_fix($response),&maxima_cas_formula_fix($answer),\$reterror);
       } else {
    if ($type eq '8') { # fml type
       $response = &capa_formula_fix($response);
       $answer   = &capa_formula_fix($answer);
    }
          $result = &caparesponse_capa_check_answer($response,$answer,$type,
  $tol_type,$tol,   $tol_type,$tol,
  $sig_lbound,$sig_ubound,   $sig_lbound,$sig_ubound,
  $ans_fmt,$unit,$calc,$id_list,   $ans_fmt,$unit,$calc,$id_list,
  $points,$external::randomseed,   $points,$external::randomseed,
  \$reterror);   \$reterror);
       }
     if    ($result == '1') { $result='EXACT_ANS'; }       if    ($result == '1') { $result='EXACT_ANS'; } 
     elsif ($result == '2') { $result='APPROX_ANS'; }      elsif ($result == '2') { $result='APPROX_ANS'; }
     elsif ($result == '3') { $result='SIG_FAIL'; }      elsif ($result == '3') { $result='SIG_FAIL'; }
Line 176  sub caparesponse_check { Line 252  sub caparesponse_check {
     elsif ($result =='15') { $result='UNIT_IRRECONCIBLE'; }      elsif ($result =='15') { $result='UNIT_IRRECONCIBLE'; }
     else  {$result = "ERROR: Unknown Result:$result:$@:";}      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);      &LONCAPA_INTERNAL_DEBUG("RetError $reterror: Answer $answer: Response $response:  type-$type|$tol|$tol_type|$sig:$sig_lbound:$sig_ubound|$unit|");
       &LONCAPA_INTERNAL_DEBUG(" $answer $response $result ");
       return ($result,$reterror)
 }  }
   
   
 sub caparesponse_check_list {  sub caparesponse_check_list {
     my $response=$LONCAPA::CAPAresponse_args{'response'};      my $responses=$LONCAPA::CAPAresponse_args{'response'};
     my ($result,@list);  #    &LONCAPA_INTERNAL_DEBUG(" answer is ".
     @list=@LONCAPA::CAPAresponse_answer;  #    &LONCAPA_INTERNAL_Dumper($LONCAPA::CAPAresponse_answer).":\n");
     my $aresult='';  #    &LONCAPA_INTERNAL_DEBUG(" respons is ".
     my $current_answer;  #    &LONCAPA_INTERNAL_Dumper($responses).":\n");
     my $answers=join(':',@list);      &LONCAPA_INTERNAL_DEBUG("args ".join(':',%LONCAPA::CAPAresponse_args));
     $result.="Got response :$answers:\n";  
     &LONCAPA_INTERNAL_DEBUG("<blink>Yo!</blink> got ".join(':',%LONCAPA::CAPAresponse_args));  
     my @responselist;  
     my $type = $LONCAPA::CAPAresponse_args{'type'};      my $type = $LONCAPA::CAPAresponse_args{'type'};
     $result.="Got type :$type:\n";      &LONCAPA_INTERNAL_DEBUG("Got type :$type:\n");
     if ($type ne '' && $#list > 0) {      
  (@responselist)=split /,/,$response;      my $num_input_lines =
     } else {   scalar(@{$LONCAPA::CAPAresponse_answer->{'answers'}});
  (@responselist)=($response);      
       if ($type ne '' ) {
    if (scalar(@$responses) < $num_input_lines) {
       return 'MISSING_ANSWER';
    }
    if (scalar(@$responses) > $num_input_lines) {
       return 'EXTRA_ANSWER';
    }
   
       }
   
       foreach my $which (0..($num_input_lines-1)) {
    my $answer_size = 
       scalar(@{$LONCAPA::CAPAresponse_answer->{'answers'}[$which]});
    if ($type ne '' 
       && $answer_size > 1) {
       $responses->[$which]=[split(/,/,$responses->[$which])];
    } else {
       $responses->[$which]=[$responses->[$which]];
    }
       }
   #    &LONCAPA_INTERNAL_DEBUG(" parsed response is ".
   #    &LONCAPA_INTERNAL_Dumper($responses).":\n");
       foreach my $which (0..($num_input_lines-1)) {
    my $answer_size = 
       scalar(@{$LONCAPA::CAPAresponse_answer->{'answers'}[$which]});
    my $response_size = 
       scalar(@{$responses->[$which]});
    if ($answer_size > $response_size) {
       return 'MISSING_ANSWER';
    }
    if ($answer_size < $response_size) {
       return 'EXTRA_ANSWER';
    }
     }      }
     my $unit='';  
     $result.="Initial final response :$responselist['-1']:\n";      &LONCAPA_INTERNAL_DEBUG("Initial final response :$responses->[0][-1]:");
       my $unit;
     if ($type eq '' || $type eq 'float') {      if ($type eq '' || $type eq 'float') {
  #for numerical problems split off the unit   #for numerical problems split off the unit
  if ( $responselist['-1']=~ /(.*[^\s])\s+([^\s]+)/ ) {  # if ( $responses->[0][-1]=~ /(.*[^\s])\s+([^\s]+)/ ) {
     $responselist['-1']=$1;          if ( $responses->[0][-1]=~ /^([\d\.\,\s\$]*(?:(?:[xX\*]10[\^\*]*|[eE]*)[\+\-]*\d*)*(?:^|\S)\d+)([\$\s\w\^\*\/\(\)\+\-]*[^\d\.\s\,][\$\s\w\^\*\/\(\)\+\-]*)$/ ) {
     $unit=$2;      $responses->[0][-1]=$1;
       $unit=&capa_formula_fix($2);
               &LONCAPA_INTERNAL_DEBUG("Found unit :$unit:");
  }   }
     }      }
     $result.="Final final response :$responselist['-1']:$unit:\n";      &LONCAPA_INTERNAL_DEBUG("Final final response :$responses->[0][-1]:$unit:");
     $result.=":$#list: answers\n";  
     $unit=~s/\s//;      $unit=~s/\s//;
     my $i=0;      if ($unit ne '') {
     my $awards='';   foreach my $response (@$responses) {
     my @msgs;      foreach my $element (@$response) {
     for ($i=0; $i<@list;$i++) {                  $element =~ s/\s//g;
  my $msg;                  my $appendunit=$unit;
  $result.="trying answer :$list[$i]:\n";                  if ($unit=~/\%/) {
  my $thisanswer=$list[$i];                     $element=$element/100;
  $result.="trying answer :$thisanswer:\n";                     $appendunit=~s/\%//;
  if ($unit eq '') {                  }    
     ($aresult,$msg)=&caparesponse_check($thisanswer,$responselist[$i]);   $element .= " $appendunit";
  } else {                  &LONCAPA_INTERNAL_DEBUG("Made response element :$element:");
     ($aresult,$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);      foreach my $thisanswer (@{ $LONCAPA::CAPAresponse_answer->{'answers'} }) {
    if (!defined($thisanswer)) {
       return ('ERROR','answer was undefined');
    }
       }
   
   
   #    &LONCAPA_INTERNAL_DEBUG(&LONCAPA_INTERNAL_Dumper($responses));
       my %memoized;
       if ($LONCAPA::CAPAresponse_answer->{'type'}  eq 'ordered') {
    for (my $i=0; $i<scalar(@$responses);$i++) {
       my $answer   = $LONCAPA::CAPAresponse_answer->{'answers'}[$i];
       my $response = $responses->[$i];
       my $key = "$answer\0$response";
       my (@awards,@msgs);
       for (my $j=0; $j<scalar(@$response); $j++) { 
    my ($award,$msg) = &caparesponse_check($answer->[$j],
          $response->[$j]);
    push(@awards,$award);
    push(@msgs,  $msg);
       }
       my ($award,$msg) = 
    &LONCAPA_INTERNAL_FINALIZEAWARDS(\@awards,\@msgs);
       $memoized{$key} = [$award,$msg];
    }
       } else {
    #FIXME broken with unorder responses where one is a <value>
           #      and the other is a <vector> (need to delay parse til
           #      inside the loop?)
    foreach my $response (@$responses) {
       my $response_size = scalar(@{$response});
       foreach my $answer (@{ $LONCAPA::CAPAresponse_answer->{'answers'} }) {
    my $key = "$answer\0$response";
    my $answer_size =  scalar(@{$answer});
    my ($award,$msg);
    if ($answer_size > $response_size) {
       $award = 'MISSING_ANSWER';
    } elsif ($answer_size < $response_size) {
       $award = 'EXTRA_ANSWER';
    } else {
       my (@awards,@msgs);
       for (my $j=0; $j<scalar(@$response); $j++) {
    my ($award,$msg) = &caparesponse_check($answer->[$j],
          $response->[$j]);
    push(@awards,$award);
    push(@msgs,  $msg);
       }
       ($award,$msg) = 
    &LONCAPA_INTERNAL_FINALIZEAWARDS(\@awards,\@msgs);
    }
    $memoized{$key} = [$award,$msg];
       }
    }
       }
   
       my ($final_award,$final_msg);
       &init_permutation(scalar(@$responses),
         $LONCAPA::CAPAresponse_answer->{'type'});
   
       # possible FIXMEs
       # - significant time is spent calling non-safe space routine
       #   from safe space
       # - early outs could be possible with classifying awards is to stratas
       #   and stopping as so as hitting the top strata 
       # - some early outs also might be possible with check ing the 
       #   memoized hash of results (is correct even possible? etc.)
   
       my (@final_awards,@final_msg);
       while( &get_permutations_left() ) {
    my $order = &get_next_permutation();
    my (@awards, @msgs, $i);
    foreach my $thisanswer (@{ $LONCAPA::CAPAresponse_answer->{'answers'} }) {
       my $key = "$thisanswer\0".$responses->[$order->[$i]];
       push(@awards,$memoized{$key}[0]);
       push(@msgs,$memoized{$key}[1]);
       $i++;
   
    }
    &LONCAPA_INTERNAL_DEBUG(" all awards ".join(':',@awards));
   
    my ($possible_award,$possible_msg) = 
       &LONCAPA_INTERNAL_FINALIZEAWARDS(\@awards,\@msgs);
    &LONCAPA_INTERNAL_DEBUG(" pos awards ".$possible_award);
    push(@final_awards,$possible_award);
    push(@final_msg,$possible_msg);
       }
   
       &LONCAPA_INTERNAL_DEBUG(" all final_awards ".join(':',@final_awards));
       my ($final_award,$final_msg) = 
    &LONCAPA_INTERNAL_FINALIZEAWARDS(\@final_awards,\@final_msg,undef,1);
       return ($final_award,$final_msg);
   }
   
   sub cas {
       my ($system,$input)=@_;
       my $output;
       if ($system eq 'maxima') {
          $output=&maxima_eval($input);
       }
       return $output;
 }  }
   
 sub tex {  sub tex {
Line 451  sub random_negative_binomial { Line 655  sub random_negative_binomial {
     return @retArray;      return @retArray;
 }  }
   
 sub abs { abs(shift) }  sub abs { CORE::abs(shift) }
 sub sin { sin(shift) }  sub sin { CORE::sin(shift) }
 sub cos { cos(shift) }  sub cos { CORE::cos(shift) }
 sub exp { exp(shift) }  sub exp { CORE::exp(shift) }
 sub int { int(shift) }  sub int { CORE::int(shift) }
 sub log { log(shift) }  sub log { CORE::log(shift) }
 sub atan2 { atan2($_[0],$_[1]) }  sub atan2 { CORE::atan2($_[0],$_[1]) }
 sub sqrt { sqrt(shift) }  sub sqrt { CORE::sqrt(shift) }
   
 sub tan  { CORE::sin($_[0]) / CORE::cos($_[0]) }  sub tan  { CORE::sin($_[0]) / CORE::cos($_[0]) }
 #sub atan { atan2($_[0], 1); }  #sub atan { atan2($_[0], 1); }
Line 637  sub prettyprint { Line 841  sub prettyprint {
 sub commaformat {  sub commaformat {
     my ($number,$target) = @_;      my ($number,$target) = @_;
     if ($number =~ /\./) {      if ($number =~ /\./) {
  while ($number =~ /([^\.,]+)([^\.,][^\.,][^\.,])([,0-9]*\.[0-9]*)$/) {   while ($number =~ /([^0-9]*)([0-9]+)([^\.,][^\.,][^\.,])([,0-9]*\.[0-9]*)$/) {
     $number = $1.','.$2.$3;      $number = $1.$2.','.$3.$4;
  }   }
     } else {      } else {
  while ($number =~ /([^,]+)([^,][^,][^,])([,0-9]*)$/) {   while ($number =~ /^([^0-9]*)([0-9]+)([^,][^,][^,])([,0-9]*)$/) {
     $number = $1.','.$2.$3;      $number = $1.$2.','.$3.$4;
  }   }
     }      }
     return $number;      return $number;
Line 806  sub class { Line 1010  sub class {
     return $course;      return $course;
 }  }
   
   sub firstname {
       my $firstname = &EXT('environment.firstname');
       $firstname = '' if $firstname eq "";
       return $firstname;
   }
                                                                                   
   sub lastname {
       my $lastname = &EXT('environment.lastname');
       $lastname = '' if $lastname eq "";
       return $lastname;
   }
   
 sub sec {   sub sec { 
     my $sec = &EXT('request.course.sec');      my $sec = &EXT('request.course.sec');
     $sec = '' if $sec eq "";      $sec = '' if $sec eq "";
Line 890  sub choose { Line 1106  sub choose {
     return $_[$num];      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  # expiremental idea
 sub proper_path {  sub proper_path {
     my ($path)=@_;      my ($path)=@_;
Removed from v.1.100  
changed lines
  Added in v.1.132

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