--- loncom/homework/default_homework.lcpm	2000/11/21 18:36:37	1.10
+++ loncom/homework/default_homework.lcpm	2001/05/28 21:47:48	1.21
@@ -2,23 +2,31 @@
 # used by lonxml::xmlparse() as input variable $safeinit to Apache::run::run()
 # 
 #
+#init some globals
+#use Math::Trig;
+#
+# Guy Albertelli
+#
+# 05/25/2001 H. K. Ng
+#
 $RANDOMINIT=0;
+#$pi=atan2(1,1)*4;
 
 sub caparesponse_check {
   my $answer='';  #done
   my $type='';    #done
   my $tol_type=''; # gets it's value from whether tol has a % or not done
   my $tol='';     #done
-  my $sig_lbound='';
-  my $sig_ubound='';
+  my $sig='';     #done lowerbnd,upperbnd
+  my $sig_lbound=''; #done
+  my $sig_ubound=''; #done
   my $ans_fmt='';
-  my $units='';
+  my $units='';     #done
   my $calc='';
   my ($response,$expr)=@_;
   
-  ($answer,$type,$tol,$sig_lbound,$sig_ubound,$ans_fmt,
-   $units,$calc) = eval $expr.'return $answer,$type,$tol,$sig_lbound,$sig_ubound,$ans_fmt,$units,$calc';
-
+  ($answer,$type,$tol,$sig,$ans_fmt,
+   $units,$calc) = eval $expr.';return $answer,$type,$tol,$sig,$ans_fmt,$units,$calc';
   #type's definitons come from capaParser.h
   if ($type eq '' ) {
     if ( $answer eq ($answer *1.0)) { $type = 2;
@@ -37,16 +45,23 @@ sub caparesponse_check {
     $tol_type=1; #TOL_ABSOLUTE
   } else {
     if ($tol =~ /%$/) {
-      $tol=chop($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, $units,$calc);
+					       $ans_fmt,$units,$calc);
 
   if    ($result == '1') { $result='EXACT_ANS'; } 
   elsif ($result == '2') { $result='APPROX_ANS'; }
@@ -60,39 +75,67 @@ sub caparesponse_check {
   elsif ($result =='10') { $result='SUB_RECORDED'; }
   elsif ($result =='11') { $result='BAD_FORMULA'; }
   elsif ($result =='12') { $result='WANTED_NUMERIC'; }
-  else  {$result = "ERROR: Unknown Result: $result";}
+  else  {$result = "ERROR: Unknown Result:$result:$@:";}
 
-  return "$result:$tol:$tol_type";
+  return "$result:<br />Error $error:<br />Answer $answer:<br />Response $response:<br />$type|$tol|$tol_type|$sig:$sig_lbound:$sig_ubound|$units<br />";
+}
+
+sub caparesponse_check_list {
+  my ($response,$expr)=@_;
+  my $result='';
+  my $aresult='';
+  my $current_answer;
+  my $answer = eval $expr.';return $answer';
+  my (@list) = eval $answer;
+  my (@responselist)=split /,/,$response;
+  my $unit='';
+  $result.="Final response :$responselist['-1']:<br />";
+  if ( $responselist['-1']=~ /(.*[^\s])\s+([^\s]+)/ ) {
+    $responselist['-1']=$1;
+    $unit=$2;
+  }
+  $result.="Final response :$responselist['-1']:<br />";
+  $unit=~s/\s//;
+  my $i=0;
+  my $awards='';
+  for ($i=0; $i<@list;$i++) {
+    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 ( $external::target eq "tex" ) {
-    #$SCRIPT_RESULT.=@_[0];
     return @_[0];
   } else {
-    #$SCRIPT_RESULT.=@_[1];
     return @_[1];
   }
 }
 
 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 '';
+  return '1';
 }
 
 sub hinton {
@@ -108,16 +151,57 @@ sub random {
 }
 
 sub tan  { sin($_[0]) / cos($_[0]) }
-sub acos { atan2(sqrt(1 - $_[0] * $_[0]), $_[0] ); }
-sub asin { atan2($_[0], sqrt(1- $_[0] * $_[0]) );  }
+#sub atan { atan2($_[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 html {
   if ( $external::target eq "web" ) {
-    #$SCRIPT_RESULT.=@_[0];
     return @_[0];
   }
 }
 
+sub roundto {
+    my ($input,$n) = @_;
+    return sprintf('%.'.$n.'f',$input);
+}
+
+sub to_string {
+    my ($input,$n) = @_;
+    return sprintf('%'.$n,$input) if $n ne "";
+    return sprintf($input) if $n eq "";
+}
+
+sub sub_string {
+    my ($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); }
@@ -125,8 +209,7 @@ sub floor {return int($_[0]);  }
 
 sub format {
   my ($value,$fmt)=@_;
-  $SCRIPT_RESULT.=sprintf('%.'.$fmt,$value);
-  return $SCRIPT_RESULT;
+  return sprintf('%.'.$fmt,$value);
 }
 
 sub map {