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| 1 |  |  |  |  |  |  | # Copyrights 2023 by [Mark Overmeer <markov@cpan.org>]. | 
| 2 |  |  |  |  |  |  | #  For other contributors see ChangeLog. | 
| 3 |  |  |  |  |  |  | # See the manual pages for details on the licensing terms. | 
| 4 |  |  |  |  |  |  | # Pod stripped from pm file by OODoc 2.03. | 
| 5 |  |  |  |  |  |  | #!/usr/bin/env perl | 
| 6 |  |  |  |  |  |  | # | 
| 7 |  |  |  |  |  |  | # This code will be run incredabily fast, hence is tries to avoid copying etc.  It | 
| 8 |  |  |  |  |  |  | # is not always optimally readible when your Perl skills are poor. | 
| 9 |  |  |  |  |  |  |  | 
| 10 |  |  |  |  |  |  | package Math::Formula; | 
| 11 | 28 |  |  | 28 |  | 1269287 | use vars '$VERSION'; | 
|  | 28 |  |  |  |  | 178 |  | 
|  | 28 |  |  |  |  | 1569 |  | 
| 12 |  |  |  |  |  |  | $VERSION = '0.16'; | 
| 13 |  |  |  |  |  |  |  | 
| 14 |  |  |  |  |  |  |  | 
| 15 | 28 |  |  | 28 |  | 147 | use warnings; | 
|  | 28 |  |  |  |  | 45 |  | 
|  | 28 |  |  |  |  | 602 |  | 
| 16 | 28 |  |  | 28 |  | 148 | use strict; | 
|  | 28 |  |  |  |  | 72 |  | 
|  | 28 |  |  |  |  | 571 |  | 
| 17 | 28 |  |  | 28 |  | 145 | use utf8; | 
|  | 28 |  |  |  |  | 53 |  | 
|  | 28 |  |  |  |  | 150 |  | 
| 18 |  |  |  |  |  |  |  | 
| 19 | 28 |  |  | 28 |  | 11505 | use Log::Report 'math-formula'; | 
|  | 28 |  |  |  |  | 2496002 |  | 
|  | 28 |  |  |  |  | 158 |  | 
| 20 | 28 |  |  | 28 |  | 6669 | use Scalar::Util qw/blessed/; | 
|  | 28 |  |  |  |  | 69 |  | 
|  | 28 |  |  |  |  | 1124 |  | 
| 21 |  |  |  |  |  |  |  | 
| 22 | 28 |  |  | 28 |  | 10143 | use Math::Formula::Token; | 
|  | 28 |  |  |  |  | 286 |  | 
|  | 28 |  |  |  |  | 681 |  | 
| 23 | 28 |  |  | 28 |  | 10822 | use Math::Formula::Type; | 
|  | 28 |  |  |  |  | 85 |  | 
|  | 28 |  |  |  |  | 14557 |  | 
| 24 |  |  |  |  |  |  |  | 
| 25 |  |  |  |  |  |  |  | 
| 26 |  |  |  |  |  |  | #-------------------------- | 
| 27 |  |  |  |  |  |  |  | 
| 28 |  |  |  |  |  |  | sub new(%) | 
| 29 | 68 |  |  | 68 | 1 | 3596 | {	my ($class, $name, $expr, %self) = @_; | 
| 30 | 68 |  |  |  |  | 147 | $self{_name} = $name; | 
| 31 | 68 |  |  |  |  | 115 | $self{_expr} = $expr; | 
| 32 | 68 |  |  |  |  | 233 | (bless {}, $class)->init(\%self); | 
| 33 |  |  |  |  |  |  | } | 
| 34 |  |  |  |  |  |  |  | 
| 35 |  |  |  |  |  |  | sub init($) | 
| 36 | 68 |  |  | 68 | 0 | 137 | {	my ($self, $args) = @_; | 
| 37 | 68 | 50 |  |  |  | 283 | my $name    = $self->{MSBE_name} = $args->{_name} or panic "every formular requires a name"; | 
| 38 | 68 | 50 |  |  |  | 180 | my $expr    = $args->{_expr} or panic "every formular requires an expression"; | 
| 39 | 68 |  |  |  |  | 174 | my $returns = $self->{MSBE_returns} = $args->{returns}; | 
| 40 |  |  |  |  |  |  |  | 
| 41 | 68 | 100 | 100 |  |  | 433 | if(ref $expr eq 'SCALAR') | 
|  |  | 50 | 66 |  |  |  |  | 
| 42 | 2 |  |  |  |  | 8 | {	$expr = MF::STRING->new(undef, $$expr); | 
| 43 |  |  |  |  |  |  | } | 
| 44 |  |  |  |  |  |  | elsif(! ref $expr && $returns && $returns->isa('MF::STRING')) | 
| 45 | 0 |  |  |  |  | 0 | {	$expr = MF::STRING->new(undef, $expr); | 
| 46 |  |  |  |  |  |  | } | 
| 47 |  |  |  |  |  |  |  | 
| 48 | 68 |  |  |  |  | 129 | $self->{MSBE_expr} = $expr; | 
| 49 | 68 |  |  |  |  | 250 | $self; | 
| 50 |  |  |  |  |  |  | } | 
| 51 |  |  |  |  |  |  |  | 
| 52 |  |  |  |  |  |  | #-------------------------- | 
| 53 |  |  |  |  |  |  |  | 
| 54 | 23 |  |  | 23 | 1 | 5197 | sub name()       { $_[0]->{MSBE_name} } | 
| 55 | 284 |  |  | 284 | 1 | 733 | sub expression() { $_[0]->{MSBE_expr} } | 
| 56 | 260 |  |  | 260 | 1 | 593 | sub returns()    { $_[0]->{MSBE_returns} } | 
| 57 |  |  |  |  |  |  |  | 
| 58 |  |  |  |  |  |  |  | 
| 59 |  |  |  |  |  |  | sub tree($) | 
| 60 | 264 |  |  | 264 | 1 | 411 | {	my ($self, $expression) = @_; | 
| 61 | 264 |  | 66 |  |  | 842 | $self->{MSBE_ast} ||= $self->_build_ast($self->_tokenize($expression), 0); | 
| 62 |  |  |  |  |  |  | } | 
| 63 |  |  |  |  |  |  |  | 
| 64 |  |  |  |  |  |  | # For testing only: to load a new expression without the need to create | 
| 65 |  |  |  |  |  |  | # a new object. | 
| 66 |  |  |  |  |  |  | sub _test($$) | 
| 67 | 214 |  |  | 214 |  | 98170 | {	my ($self, $expr) = @_; | 
| 68 | 214 |  |  |  |  | 378 | $self->{MSBE_expr} = $expr; | 
| 69 | 214 |  |  |  |  | 959 | delete $self->{MSBE_ast}; | 
| 70 |  |  |  |  |  |  | } | 
| 71 |  |  |  |  |  |  |  | 
| 72 |  |  |  |  |  |  | ### | 
| 73 |  |  |  |  |  |  | ### PARSER | 
| 74 |  |  |  |  |  |  | ### | 
| 75 |  |  |  |  |  |  |  | 
| 76 |  |  |  |  |  |  | my $match_int   = MF::INTEGER->_match; | 
| 77 |  |  |  |  |  |  | my $match_float = MF::FLOAT->_match; | 
| 78 |  |  |  |  |  |  | my $match_name  = MF::NAME->_match; | 
| 79 |  |  |  |  |  |  | my $match_date  = MF::DATE->_match; | 
| 80 |  |  |  |  |  |  | my $match_time  = MF::TIME->_match; | 
| 81 |  |  |  |  |  |  | my $match_tz    = MF::TIMEZONE->_match; | 
| 82 |  |  |  |  |  |  | my $match_dt    = MF::DATETIME->_match; | 
| 83 |  |  |  |  |  |  | my $match_dur   = MF::DURATION->_match; | 
| 84 |  |  |  |  |  |  |  | 
| 85 |  |  |  |  |  |  | my $match_op    = join '|', | 
| 86 |  |  |  |  |  |  | qw{ // -> }, '[?*\/+\-#~.%]', | 
| 87 |  |  |  |  |  |  | qw{ =~ !~ <=> <= >= == != < > },  # order is important | 
| 88 |  |  |  |  |  |  | qw{ :(?![0-9][0-9]) (?<![0-9][0-9]): }, | 
| 89 |  |  |  |  |  |  | ( map "$_\\b", qw/ and or not xor exists like unlike cmp lt le eq ne ge gt/ | 
| 90 |  |  |  |  |  |  | ); | 
| 91 |  |  |  |  |  |  |  | 
| 92 |  |  |  |  |  |  | sub _tokenize($) | 
| 93 | 297 |  |  | 297 |  | 7510 | {	my ($self, $s) = @_; | 
| 94 | 297 |  |  |  |  | 438 | our @t = (); | 
| 95 | 297 |  |  |  |  | 375 | my $parens_open = 0; | 
| 96 |  |  |  |  |  |  |  | 
| 97 | 28 |  |  | 28 |  | 235 | use re 'eval';  #XXX needed with newer than 5.16 perls? | 
|  | 28 |  |  |  |  | 54 |  | 
|  | 28 |  |  |  |  | 36464 |  | 
| 98 |  |  |  |  |  |  |  | 
| 99 | 297 |  |  |  |  | 4866 | $s =~ m/ ^ | 
| 100 |  |  |  |  |  |  | (?: \s* | 
| 101 |  |  |  |  |  |  | (?| \# (?: \s [^\n\r]+ | $ ) \ | 
| 102 | 47 |  |  |  |  | 1172 | | ( true\b | false\b )	(?{ push @t, MF::BOOLEAN->new($+) }) | 
| 103 |  |  |  |  |  |  | | ( \" (?: \\\" | [^"] )* \" ) | 
| 104 | 100 |  |  |  |  | 3303 | (?{ push @t, MF::STRING->new($+) }) | 
| 105 |  |  |  |  |  |  | | ( \' (?: \\\' | [^'] )* \' ) | 
| 106 | 5 |  |  |  |  | 21 | (?{ push @t, MF::STRING->new($+) }) | 
| 107 | 39 |  |  |  |  | 1170 | | ( $match_dur )	(?{ push @t, MF::DURATION->new($+) }) | 
| 108 | 13 |  |  |  |  | 1002 | | ( $match_tz )		(?{ push @t, MF::TIMEZONE->new($+) }) | 
| 109 | 311 |  |  |  |  | 2812 | | ( $match_op )		(?{ push @t, MF::OPERATOR->new($+) }) | 
| 110 | 79 |  |  |  |  | 2233 | | ( $match_name )	(?{ push @t, MF::NAME->new($+) }) | 
| 111 | 31 |  |  |  |  | 1061 | | ( $match_dt )		(?{ push @t, MF::DATETIME->new($+) }) | 
| 112 | 23 |  |  |  |  | 1036 | | ( $match_date )	(?{ push @t, MF::DATE->new($+) }) | 
| 113 | 21 |  |  |  |  | 3124 | | ( $match_time )	(?{ push @t, MF::TIME->new($+) }) | 
| 114 | 42 |  |  |  |  | 1110 | | ( $match_float )	(?{ push @t, MF::FLOAT->new($+) }) | 
| 115 | 163 |  |  |  |  | 5542 | | ( $match_int )	(?{ push @t, MF::INTEGER->new($+) }) | 
| 116 | 5 |  |  |  |  | 997 | | \(				(?{ push @t, MF::PARENS->new('(', ++$parens_open) }) | 
| 117 | 5 |  |  |  |  | 17 | | \)				(?{ push @t, MF::PARENS->new(')', $parens_open--) }) | 
| 118 | 4 |  |  |  |  | 16 | | \$ ([1-9][0-9]*)	(?{ push @t, MF::CAPTURE->new($+) }) | 
| 119 |  |  |  |  |  |  | | $ | 
| 120 | 0 |  |  |  |  | 0 | | (.+)				(?{ error __x"expression '{name}', failed at '{where}'", | 
| 121 |  |  |  |  |  |  | name => $self->name, where => $+ }) | 
| 122 |  |  |  |  |  |  | ) | 
| 123 |  |  |  |  |  |  | )+ \z /sxo; | 
| 124 |  |  |  |  |  |  |  | 
| 125 | 297 | 50 |  |  |  | 862 | ! $parens_open | 
| 126 |  |  |  |  |  |  | or error __x"expression '{name}', parenthesis do not match", name => $self->name; | 
| 127 |  |  |  |  |  |  |  | 
| 128 | 297 |  |  |  |  | 895 | \@t; | 
| 129 |  |  |  |  |  |  | } | 
| 130 |  |  |  |  |  |  |  | 
| 131 |  |  |  |  |  |  | sub _build_ast($$) | 
| 132 | 560 |  |  | 560 |  | 881 | {	my ($self, $t, $prio) = @_; | 
| 133 | 560 | 100 |  |  |  | 1477 | return shift @$t if @$t < 2; | 
| 134 |  |  |  |  |  |  |  | 
| 135 |  |  |  |  |  |  | PROGRESS: | 
| 136 | 297 |  |  |  |  | 821 | while(my $first = shift @$t) | 
| 137 |  |  |  |  |  |  | { | 
| 138 | 597 | 100 |  |  |  | 1945 | if($first->isa('MF::PARENS')) | 
| 139 | 5 |  |  |  |  | 14 | {	my $level = $first->level; | 
| 140 |  |  |  |  |  |  |  | 
| 141 | 5 |  |  |  |  | 8 | my @nodes; | 
| 142 | 5 |  |  |  |  | 12 | while(my $node = shift @$t) | 
| 143 | 25 | 100 | 100 |  |  | 71 | {	last if $node->isa('MF::PARENS') && $node->level==$level; | 
| 144 | 20 |  |  |  |  | 40 | push @nodes, $node; | 
| 145 |  |  |  |  |  |  | } | 
| 146 | 5 |  |  |  |  | 23 | $first = $self->_build_ast(\@nodes, 0); | 
| 147 | 5 |  |  |  |  | 10 | redo PROGRESS; | 
| 148 |  |  |  |  |  |  | } | 
| 149 |  |  |  |  |  |  |  | 
| 150 | 592 | 100 |  |  |  | 1081 | if(ref $first eq 'MF::OPERATOR')  # unresolved operator | 
| 151 | 38 |  |  |  |  | 89 | {	my $op = $first->token; | 
| 152 |  |  |  |  |  |  |  | 
| 153 | 38 | 100 | 100 |  |  | 135 | if($op eq '#' || $op eq '.') | 
| 154 |  |  |  |  |  |  | {	# Fragments and Methods are always infix, but their left-side arg | 
| 155 |  |  |  |  |  |  | # can be left-out.  As PREFIX, they would be RTL but we need LTR | 
| 156 | 6 |  |  |  |  | 11 | unshift @$t, $first; | 
| 157 | 6 |  |  |  |  | 14 | $first = MF::NAME->new(''); | 
| 158 | 6 |  |  |  |  | 13 | redo PROGRESS; | 
| 159 |  |  |  |  |  |  | } | 
| 160 |  |  |  |  |  |  |  | 
| 161 | 32 | 50 |  |  |  | 136 | my $next  = $self->_build_ast($t, $prio) | 
| 162 |  |  |  |  |  |  | or error __x"expression '{name}', monadic '{op}' not followed by anything useful", | 
| 163 |  |  |  |  |  |  | name => $self->name, op => $op; | 
| 164 |  |  |  |  |  |  |  | 
| 165 | 32 |  |  |  |  | 135 | $first = MF::PREFIX->new($op, $next); | 
| 166 | 32 |  |  |  |  | 87 | redo PROGRESS; | 
| 167 |  |  |  |  |  |  | } | 
| 168 |  |  |  |  |  |  |  | 
| 169 | 554 | 100 |  |  |  | 1795 | my $next = $t->[0] | 
| 170 |  |  |  |  |  |  | or return $first;   # end of expression | 
| 171 |  |  |  |  |  |  |  | 
| 172 | 288 | 100 |  |  |  | 512 | if(ref $next ne 'MF::OPERATOR') | 
| 173 | 2 | 50 |  |  |  | 7 | {	if($next->isa('MF::TIMEZONE')) | 
| 174 |  |  |  |  |  |  | {	# Oops, mis-parse | 
| 175 | 2 |  |  |  |  | 7 | unshift @$t, $next->cast('MF::INTEGER'); | 
| 176 | 2 |  |  |  |  | 6 | $next = MF::OPERATOR->new('+'); | 
| 177 |  |  |  |  |  |  | } | 
| 178 |  |  |  |  |  |  | else | 
| 179 | 0 |  |  |  |  | 0 | {	error __x"expression '{name}', expected infix operator but found '{type}'", | 
| 180 |  |  |  |  |  |  | name => $self->name, type => ref $next; | 
| 181 |  |  |  |  |  |  | } | 
| 182 |  |  |  |  |  |  | } | 
| 183 |  |  |  |  |  |  |  | 
| 184 | 288 |  |  |  |  | 616 | my $op = $next->token; | 
| 185 | 288 | 50 |  |  |  | 570 | @$t or error __x"expression '{name}', infix operator '{op}' requires right-hand argument", | 
| 186 |  |  |  |  |  |  | name => $self->name, op => $op; | 
| 187 |  |  |  |  |  |  |  | 
| 188 | 288 |  |  |  |  | 615 | my ($next_prio, $assoc) = MF::OPERATOR->find($op); | 
| 189 |  |  |  |  |  |  |  | 
| 190 | 288 | 100 | 66 |  |  | 930 | return $first | 
|  |  |  | 100 |  |  |  |  | 
| 191 |  |  |  |  |  |  | if $next_prio < $prio | 
| 192 |  |  |  |  |  |  | || ($next_prio==$prio && $assoc==MF::OPERATOR::LTR); | 
| 193 |  |  |  |  |  |  |  | 
| 194 | 264 | 100 |  |  |  | 439 | if($op eq ':') | 
| 195 | 7 |  |  |  |  | 14 | {	return $first; | 
| 196 |  |  |  |  |  |  | } | 
| 197 |  |  |  |  |  |  |  | 
| 198 | 257 |  |  |  |  | 312 | shift @$t;    # apply the operator | 
| 199 | 257 | 100 |  |  |  | 419 | if($op eq '?') | 
| 200 | 7 |  |  |  |  | 12 | {	my $then  = $self->_build_ast($t, 0); | 
| 201 | 7 |  |  |  |  | 9 | my $colon = shift @$t; | 
| 202 | 7 | 0 | 33 |  |  | 18 | $colon && $colon->token eq ':' | 
|  |  | 50 |  |  |  |  |  | 
| 203 |  |  |  |  |  |  | or error __x"expression '{name}', expected ':' in '?:', but got '{token}'", | 
| 204 |  |  |  |  |  |  | name => $self->name, token => ($next ? $colon->token : 'end-of-line'); | 
| 205 |  |  |  |  |  |  |  | 
| 206 | 7 |  |  |  |  | 11 | my $else = $self->_build_ast($t, $next_prio); | 
| 207 | 7 |  |  |  |  | 21 | $first = MF::TERNARY->new($op, $first, $then, $else); | 
| 208 | 7 |  |  |  |  | 17 | redo PROGRESS; | 
| 209 |  |  |  |  |  |  | } | 
| 210 |  |  |  |  |  |  |  | 
| 211 | 250 |  |  |  |  | 587 | $first = MF::INFIX->new($op, $first, $self->_build_ast($t, $next_prio)); | 
| 212 | 250 |  |  |  |  | 624 | redo PROGRESS; | 
| 213 |  |  |  |  |  |  | } | 
| 214 |  |  |  |  |  |  | } | 
| 215 |  |  |  |  |  |  |  | 
| 216 |  |  |  |  |  |  | #-------------------------- | 
| 217 |  |  |  |  |  |  |  | 
| 218 |  |  |  |  |  |  | sub evaluate($) | 
| 219 | 275 |  |  | 275 | 1 | 3571 | {	my ($self, $context, %args) = @_; | 
| 220 | 275 |  |  |  |  | 665 | my $expr   = $self->expression; | 
| 221 |  |  |  |  |  |  |  | 
| 222 | 275 | 50 |  |  |  | 1182 | my $result | 
|  |  | 100 |  |  |  |  |  | 
|  |  | 100 |  |  |  |  |  | 
| 223 |  |  |  |  |  |  | = ref $expr eq 'CODE' ? $self->toType($expr->($context, $self, %args)) | 
| 224 |  |  |  |  |  |  | : ! blessed $expr     ? $self->tree($expr)->compute($context) | 
| 225 |  |  |  |  |  |  | : $expr->isa('Math::Formula::Type') ? $expr | 
| 226 |  |  |  |  |  |  | : panic; | 
| 227 |  |  |  |  |  |  |  | 
| 228 |  |  |  |  |  |  | # For external evaluation calls, we must follow the request | 
| 229 | 275 |  | 100 |  |  | 881 | my $expect = $args{expect} || $self->returns; | 
| 230 | 275 | 100 | 100 |  |  | 1275 | $result && $expect && ! $result->isa($expect) ? $result->cast($expect, $context) : $result; | 
| 231 |  |  |  |  |  |  | } | 
| 232 |  |  |  |  |  |  |  | 
| 233 |  |  |  |  |  |  |  | 
| 234 |  |  |  |  |  |  | my %_match = map { my $match = $_->_match; ( $_ => qr/^$match$/x ) } | 
| 235 |  |  |  |  |  |  | qw/MF::DATETIME MF::TIME MF::DATE MF::DURATION/; | 
| 236 |  |  |  |  |  |  |  | 
| 237 |  |  |  |  |  |  | sub toType($) | 
| 238 | 22 |  |  | 22 | 1 | 10918 | {	my ($self, $data) = @_; | 
| 239 | 22 | 100 |  |  |  | 79 | if(blessed $data) | 
| 240 | 8 | 100 |  |  |  | 48 | {	return $data if $data->isa('Math::Formula::Type');  # explicit type | 
| 241 | 4 | 100 |  |  |  | 16 | return MF::DATETIME->new(undef, $data) if $data->isa('DateTime'); | 
| 242 | 3 | 100 |  |  |  | 18 | return MF::DURATION->new(undef, $data) if $data->isa('DateTime::Duration'); | 
| 243 | 2 | 100 |  |  |  | 10 | return MF::FRAGMENT->new($data->name, $data) if $data->isa('Math::Formula::Context'); | 
| 244 |  |  |  |  |  |  | } | 
| 245 |  |  |  |  |  |  |  | 
| 246 | 15 |  |  | 0 |  | 51 | my $match = sub { my $type = shift; my $match = $type->_match; qr/^$match$/ }; | 
|  | 0 |  |  |  |  | 0 |  | 
|  | 0 |  |  |  |  | 0 |  | 
|  | 0 |  |  |  |  | 0 |  | 
| 247 |  |  |  |  |  |  |  | 
| 248 |  |  |  |  |  |  | return | 
| 249 |  |  |  |  |  |  | ref $data eq 'SCALAR'            ? MF::STRING->new($data) | 
| 250 |  |  |  |  |  |  | : $data =~ /^[+-]?[0-9]+$/         ? MF::INTEGER->new(undef, $data) | 
| 251 |  |  |  |  |  |  | : $data =~ /^[+-]?[0-9]+\./        ? MF::FLOAT->new(undef, $data) | 
| 252 |  |  |  |  |  |  | : $data =~ /^(?:true|false)$/      ? MF::BOOLEAN->new($data) | 
| 253 |  |  |  |  |  |  | : ref $data eq 'Regexp'            ? MF::REGEXP->new(undef, $data) | 
| 254 |  |  |  |  |  |  | : $data =~ $_match{'MF::DATETIME'} ? MF::DATETIME->new($data) | 
| 255 |  |  |  |  |  |  | : $data =~ $_match{'MF::TIME'}     ? MF::TIME->new($data) | 
| 256 |  |  |  |  |  |  | : $data =~ $_match{'MF::DATE'}     ? MF::DATE->new($data) | 
| 257 | 15 | 50 |  |  |  | 250 | : $data =~ $_match{'MF::DURATION'} ? MF::DURATION->new($data) | 
|  |  | 100 |  |  |  |  |  | 
|  |  | 100 |  |  |  |  |  | 
|  |  | 100 |  |  |  |  |  | 
|  |  | 100 |  |  |  |  |  | 
|  |  | 100 |  |  |  |  |  | 
|  |  | 100 |  |  |  |  |  | 
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|  |  | 100 |  |  |  |  |  | 
|  |  | 100 |  |  |  |  |  | 
| 258 |  |  |  |  |  |  | : $data =~ /^(['"]).*\1$/          ? MF::STRING->new($data) | 
| 259 |  |  |  |  |  |  | : error __x"not an expression (string needs \\ ) for '{data}'", data => $data; | 
| 260 |  |  |  |  |  |  | } | 
| 261 |  |  |  |  |  |  |  | 
| 262 |  |  |  |  |  |  | #-------------------------- | 
| 263 |  |  |  |  |  |  |  | 
| 264 |  |  |  |  |  |  | 1; |