version 1.20, 2001/05/25 21:20:19
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version 1.26, 2001/06/12 21:07:32
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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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#init some globals |
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#use Math::Trig; |
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# |
# |
# Guy Albertelli |
# Guy Albertelli |
# |
# |
# 05/25/2001 H. K. Ng |
# 05/25/2001 H. K. Ng |
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# 05/31/2001 H. K. Ng |
# |
# |
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#init some globals |
$RANDOMINIT=0; |
$RANDOMINIT=0; |
$pi=atan2(1,1)*4; |
$pi=atan2(1,1)*4; |
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$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 |
Line 122 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 150 sub random {
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Line 164 sub random {
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return $result; |
return $result; |
} |
} |
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sub random_normal { |
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my ($item_cnt,$seed,$av,$std_dev) = @_; |
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my @retArray; |
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&random_set_seed_from_phrase($seed); |
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@retArray=&math_random_normal($item_cnt,$av,$std_dev); |
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return @retArray; |
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} |
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sub random_beta { |
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my ($item_cnt,$seed,$aa,$bb) = @_; |
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my @retArray; |
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&random_set_seed_from_phrase($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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} |
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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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} |
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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]) } |
sub tan { sin($_[0]) / cos($_[0]) } |
sub atan { atan2($_[0], 1); } |
#sub atan { atan2($_[0], 1); } |
sub acos { atan2(sqrt(1 - $_[0] * $_[0]), $_[0] ); } |
#sub acos { atan2(sqrt(1 - $_[0] * $_[0]), $_[0] ); } |
sub asin { atan2($_[0], sqrt(1- $_[0] * $_[0]) ); } |
#sub asin { atan2($_[0], sqrt(1- $_[0] * $_[0]) ); } |
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sub log10 { log($_[0])/log(10); } |
sub log10 { log($_[0])/log(10); } |
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sub factorial { |
sub factorial { |
my $input = int(shift); |
my $input = int(shift); |
return "Error - unable to take factorial of an negative number ($input)" if $input < 0; |
return "Error - unable to take factorial of an negative number ($input)" if $input < 0; |
Line 181 sub max {
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Line 340 sub max {
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return pop @sorted; |
return pop @sorted; |
} |
} |
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sub html { |
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if ( $external::target eq "web" ) { |
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return @_[0]; |
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} |
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} |
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sub roundto { |
sub roundto { |
my ($input,$n) = @_; |
my ($input,$n) = @_; |
return sprintf('%.'.$n.'f',$input); |
return sprintf('%.'.$n.'f',$input); |
Line 194 sub roundto {
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Line 347 sub roundto {
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sub to_string { |
sub to_string { |
my ($input,$n) = @_; |
my ($input,$n) = @_; |
return sprintf('%'.$n,$input) if $n ne ""; |
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return sprintf($input) if $n eq ""; |
return sprintf($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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sub sub_string { |
sub sub_string { |
Line 230 sub map {
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Line 384 sub map {
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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"; |
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} |
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return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm; |
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} |
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sub due_date { |
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my @dc = split(/\s+/,localtime(&EXT('resource.0.duedate'))); |
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return '' if ($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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} |
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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); |
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$output[4]=$kurt/($sdev**4*$N)-3; |
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return @output; |
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} |
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sub choose { |
sub choose { |
my $num = $_[0]; |
my $num = $_[0]; |
return $_[$num]; |
return $_[$num]; |
} |
} |
#$external::randomseed=time; |
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#$a=2; |
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#$b=2; |
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#$c=2; |
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#&map(1,\$a,\$b,\$c,3,4,5); |
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#print $a."\n".$b."\n"; |
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