common: generate optimised css file for light

[sheet.git] / base.plp

diff --git a/base.plp b/base.plp
index ad6961b456436719fe6816e1a589bb6db14a2f14..f1ed06cfa42265c32a2719ae78819896a7e4a55e 100644 (file)
--- a/base.plp
+++ b/base.plp
@@ -1,8 +1,8 @@
 <(common.inc.plp)><:
 
 Html({
-       title => 'fractions',
-       version => 'v1.0',
+       title => 'number bases',
+       version => '1.1',
        description => [
                "Cheat sheets summarising various software programs and standards.",
        ],
@@ -12,48 +12,129 @@ Html({
        stylesheet => [qw'light dark circus mono red'],
 });
 
+my @cols = (2, 6, 8, 9, 10, 12, 16, 18, 20);
+my @morecols = (2 .. 6, 8, 9, 10, 12, 16, 18, 20, 24, 32, 36, 64);
+my @char = (0..9, 'A'..'Z', 'a'..'z');
 :>
-<h1>Fractions</h1>
+<h1>Number bases</h1>
 
+<h2>Radix economy</h2>
 <table>
 <:
-use Math::BigFloat;
+sub radix_economy {
+       my ($val, $radix) = @_;
+       return $radix * int(log($val) / log($radix) + 1);
+}
 
-my @cols = (2, 6, 8, 9, 10, 12, 16, 18, 60);
+use List::Util 'sum';
+print '<tr><th>';
+print '<th>', $_ for @morecols;
+for my $max (100, 255, 1024) {
+       print '<tr><th>⍳', $max;
+       for my $radix (@morecols) {
+               printf '<td style="text-align:right">%.1f',
+                       sum(map { radix_economy($_, $radix) } 1 .. $max) / $max;
+       }
+}
+:></table>
+
+<h2>Reciprocal fractions (n⁻¹)</h2>
+<table>
+<:
 print '<tr><th>';
 print '<th>', $_ for @cols;
 
-my @char = (0..9, 'A'..'Z', 'a'..'z');
-my $places = 48;
+use Math::BigFloat;
+
+my $count = 40;
+my $places = $count<<1;
+
+sub showfrac {
+       my ($num, $radix) = @_;
+
+       my $out = '';
+       my $class = '';
+       my $zeros = 0;
+
+ADD_DIGITS:
+       for my $place (1 .. $places) {
+               # add a digit in requested base (left shift)
+               $out .= $char[ $num->blsft(1, $radix) ];
+               $num->bmod(1) or do {
+                       # no remaining fractional part
+                       $class = $out eq '1' ? 'l5' : $place == 1 ? 'l4' : 'l3';
+                       last;
+               };
+               $zeros++ if $out =~ /^0+$/;
+
+               for my $check ($zeros .. length($out)>>1) {
+                       if (substr($out, -$check) eq substr($out, -$check*2, $check)) {
+                               $class = $check == 1 ? 'l2' : 'l1';
+                               substr($out, -$check) = '';
+                               substr($out, -$check, 0) = '<span style="text-decoration:overline">';
+                               $check .= '</span>';
+                               last ADD_DIGITS;
+                       }
+               }
+       }
+       printf '<td%s style="text-align:left">%s', $class && qq( class="$class"), $out;
+}
 
-for my $n (2 .. 25) {
+for my $n (2 .. $count) {
        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"), $out;
+               showfrac(scalar Math::BigFloat->new(1)->bdiv($n, $accuracy+1), $radix);
        }
-#      \x{305}
 }
+
 :></table>
 
+<hr>
+
+<h2>Duplication (2ⁿ)</h2>
+<table>
+<:
+sub showint {
+       my ($int, $radix) = @_;
+       my @digits;
+       while ($int >= 1) {
+               push @digits, $char[$int % $radix];
+               $int /= $radix;
+       }
+       splice @digits, 3 * $_, 0, '&nbsp;' for reverse 1 .. @digits/3;
+       return join '', reverse @digits;
+}
+
+@cols = grep { not $_ ~~ [2,8,16] } @cols, 36;
+print '<tr><th>';
+print '<th>', $_ for @cols;
+
+for my $n (3 .. 16, 18, 20, 24, 30, 32, 36, 40, 48, 50, 60, 64) {
+       print '<tr>';
+       print '<th>', $n;
+       for my $radix (@cols) {
+               print '<td style="text-align:right">', showint(2 ** $n, $radix);
+       }
+       print '<th>', {
+                4 => 'nibble',
+                8 => 'octet',
+               16 => '2o',
+               24 => '3o',
+               32 => '4o',
+               40 => '5o, Tebi',
+               48 => '6o',
+               64 => 'o²',
+               10 => 'kibi',
+               20 => 'Mebi',
+               30 => 'Gibi',
+               50 => 'Pebi',
+               60 => 'Exbi',
+               70 => 'Zebi',
+               80 => 'Yobi',
+       }->{$n} // '';
+}
+
+:></table>