--- loncom/homework/default_homework.lcpm 2001/01/03 00:14:47 1.14 +++ loncom/homework/default_homework.lcpm 2001/05/31 20:47:50 1.24 @@ -2,18 +2,28 @@ # used by lonxml::xmlparse() as input variable $safeinit to Apache::run::run() # # +#init some globals +# +# Guy Albertelli +# +# 05/25/2001 H. K. Ng +# 05/31/2001 H. K. Ng +# $RANDOMINIT=0; +$pi=atan2(1,1)*4; +$rad2deg=180.0/$pi; +$deg2rad=$pi/180.0; 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=''; - 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,$expr)=@_; @@ -69,28 +79,41 @@ sub caparesponse_check { elsif ($result =='12') { $result='WANTED_NUMERIC'; } else {$result = "ERROR: Unknown Result:$result:$@:";} - return "$result:$error:$answer:$response:$type|$tol|$tol_type|$sig:$sig_lbound:$sig_ubound|$units"; + return "$result:
Error $error:
Answer $answer:
Response $response:
$type|$tol|$tol_type|$sig:$sig_lbound:$sig_ubound|$units
"; } sub caparesponse_check_list { my ($response,$expr)=@_; my $result=''; + my $aresult=''; my $current_answer; my $answer = eval $expr.';return $answer'; my (@list) = eval $answer; my (@responselist)=split /,/,$response; - ($responselist['-1'],my $unit)= split /\s/, $responselist['-1'], 2; + my $unit=''; + $result.="Final response :$responselist['-1']:
"; + if ( $responselist['-1']=~ /(.*[^\s])\s+([^\s]+)/ ) { + $responselist['-1']=$1; + $unit=$2; + } + $result.="Final response :$responselist['-1']:
"; $unit=~s/\s//; my $i=0; my $awards=''; for ($i=0; $i<@list;$i++) { - $result.=&caparesponse_check($responselist[$i]." $unit", - $expr.';my $answer='.$list[$i].';'); - my ($temp)=split /:/, $result; + if ($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:$result"; + return "$awards:
$result"; } sub tex { @@ -101,6 +124,14 @@ sub tex { } } +sub var_in_tex { + if ( $external::target eq "tex" ) { + return @_[0]; + } else { + return ""; + } +} + sub web { if ( $external::target eq "tex" ) { return @_[1]; @@ -113,6 +144,12 @@ sub web { } } +sub html { + if ( $external::target eq "web" ) { + return @_[0]; + } +} + sub problem { return '1'; } @@ -129,16 +166,63 @@ sub random { return $result; } +sub abs { abs(shift) } +sub sin { sin(shift) } +sub cos { cos(shift) } +sub exp { exp(shift) } +sub int { int(shift) } +sub log { log(shift) } +sub atan2 { atan2($_[0],$_[1]) } +sub sqrt { sqrt(shift) } + sub tan { sin($_[0]) / cos($_[0]) } -sub 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 html { - if ( $external::target eq "web" ) { - return @_[0]; - } +sub log10 { log($_[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,$n) = @_; + return sprintf('%'.$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); } @@ -167,13 +251,120 @@ sub map { } } +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/-/; + 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]; } + #$external::randomseed=time; #$a=2; #$b=2; #$c=2; #&map(1,\$a,\$b,\$c,3,4,5); #print $a."\n".$b."\n"; + +