+<(common.inc.plp)><:
+
+Html({
+ title => 'fractions',
+ version => 'v1.0',
+ description => [
+ "Cheat sheets summarising various software programs and standards.",
+ ],
+ keywords => [qw'
+ sheet cheat reference software overview summary help keyboard map unicode
+ '],
+ stylesheet => [qw'light dark circus mono red'],
+});
+
+:>
+<h1>Fractions</h1>
+
+<table>
+<:
+use Math::BigFloat;
+
+my @cols = (2, 6, 8, 9, 10, 12, 16, 18, 60);
+print '<tr><th>';
+print '<th>', $_ for @cols;
+
+my @char = (0..9, 'A'..'Z', 'a'..'z');
+my $places = 48;
+
+for my $n (2 .. 25) {
+ print '<tr>';
+ print '<th>', $n;
+ for my $radix (@cols) {
+ my $accuracy = int($places * log($radix) / log(10));
+ Math::BigFloat->accuracy($accuracy);
+ my $frac = Math::BigFloat->new(1)->bdiv($n, $accuracy+1);
+ my $out = '';
+ my $class = '';
+ADD_DIGITS:
+ for my $place (1 .. $places) {
+ $out .= $char[ $frac->blsft(1, $radix) ];
+ $frac->bmod(1) or do {
+ $class = $n == $radix ? 'l5' : $place == 1 ? 'l4' : 'l3';
+ last;
+ };
+ for my $check (log($n)/log($radix) .. length($out)>>1) {
+ if ($out =~ /[^0]/ and substr($out, -$check) eq substr($out, -$check*2, $check)) {
+ $class = $check == 1 ? 'l2' : 'l1';
+ substr($out, -$check) = '';
+ substr($out, -$check, 0) = '(';
+ last ADD_DIGITS;
+ }
+ }
+ }
+ printf '<td%s>%s', $class && qq( class="$class"), $out;
+ }
+# \x{305}
+}
+:></table>
+