X-Git-Url: http://www.chiark.greenend.org.uk/ucgi/~ian/git?p=appendix-a6.git;a=blobdiff_plain;f=compute-scottish-stv;h=12645fd4d64da0ce5b13aea6f435afc48c8935d9;hp=d92db96382bddeac989202ad6e937ca8f52f6ce6;hb=af19a4306f157650f182d15cf4e02325f372b2d7;hpb=5fc4bc0993f2f2dc97c43217b3c0bfc51cdf9415 diff --git a/compute-scottish-stv b/compute-scottish-stv index d92db96..12645fd 100755 --- a/compute-scottish-stv +++ b/compute-scottish-stv @@ -31,6 +31,10 @@ our %cands; our $stage=0; our $quota; our %tie; +our @elected; + +our $DIGS = 5; +our $F = (new Math::BigRat 10)->bpow($DIGS); open DEBUG, ">.compute.log" or die $!; DEBUG->autoflush(1); @@ -54,6 +58,8 @@ $SIG{__DIE__} = sub { die $_[0]; }; +sub total_history_cmp (); + sub unkopt ($$) { my ($what,$opt) = @_; if ($opt =~ m/^[A-Z]/) { @@ -63,6 +69,23 @@ sub unkopt ($$) { } } +my $display_cmp = \&total_history_cmp; +my $for_compare = 0; + +while (@ARGV && $ARGV[0] =~ m/^\-/) { + $_ = shift @ARGV; + if (m/^--$/) { + last; + } elsif (m/^--sort=alpha$/) { + $display_cmp = sub { $b->{Cand} cmp $a->{Cand} }; + } elsif (m/^--for-compare$/) { + $for_compare = 1; + unshift @ARGV, '--sort=alpha'; + } else { + die; + } +} + for (;;) { $_ = <>; if (m/^\| /) { @@ -156,9 +179,33 @@ sub sortballots (@) { } } +sub floor ($) { + my ($v) = @_; + $v = new Math::BigRat $v; # we need a copy + return $v->bfloor(); +} + +sub sv ($) { + my ($in) = @_; + my $v = new Math::BigRat $in; # just in case + my $intpart = floor($v); + my $frac = $v - $intpart; + my $good = floor($frac * $F); + my $bad = $frac * $F - $good; + my $s = sprintf "%7d", $intpart; + if ($frac) { + $s .= sprintf ".%0${DIGS}d", $good; + $s .= sprintf "%-4s", ($bad ? "+$bad" : ""); + } else { + $s .= sprintf " %${DIGS}s%4s", '', ''; + } +#print STDERR "# $in => $s # (intpart=$intpart frac=$frac)\n"; + return $s; +} + sub prf { my $fmt = shift; - printf "stage %d: ".$fmt, $stage, @_; + printf " ".$fmt, @_; } sub countballots () { @@ -170,17 +217,18 @@ sub countballots () { $c->{History}[$stage-1] = $c->{Total}; } - foreach my $c (reverse sort total_history_cmp + foreach my $c (reverse sort $display_cmp grep { !$_->{NonCont} } values %cands) { - prf "candidate %-10s: %10s votes\n", $c->{Cand}, $c->{Total}; + prf "candidate %-10s: %s votes\n", $c->{Cand}, sv $c->{Total}; } } sub computequota () { my $totalvalid = 0/1; $totalvalid += $_->{Total} foreach values %cands; - $quota = ($totalvalid / (1 + $seats)) -> bfloor(); - prf "quota %10s\n", $quota; + $quota = floor($totalvalid / (1 + $seats) + 1); + prf "total valid %s\n", sv $totalvalid; + prf "quota %s\n", sv $quota; } sub total_history_cmp () { @@ -261,22 +309,29 @@ sub elect_core ($) { my ($c) = @_; prf "*** ELECT %s \`%s' ***\n", $c->{Cand}, $c->{Desc}; $c->{NonCont} = 'Elected'; + push @elected, $c; } $stage = 0; for (;;) { $stage++; + printf "stage %3d:\n", $stage; sortballots @allvotes if $stage == 1; - my $seats_remain = $seats - - grep { ($_->{NonCont} // '') eq 'Elected' } values %cands; + my $seats_remain = $seats - @elected; + + prf "seats remaining %d\n", $seats_remain; + + last unless $seats_remain; + if (continuing() <= $seats_remain) { foreach my $c (continuing()) { prf "electing %s to fill remaining place(s)\n", $c->{Cand}; elect_core $c; } + countballots() if $for_compare; last; } @@ -301,18 +356,19 @@ for (;;) { next; } + last if $seats_remain == 1; # don't bother doing more transfers + my $B = $c->{Total}; my %tspr; - prf "surplus %10s\n", $surplus; + prf "surplus %s\n", sv $surplus; foreach my $v (@{ $c->{Votes} }) { my $previously = $v->{TransferredSurplus}; push @$previously, $c->{Cand}; my $A = $surplus * $v->{Weight}; - my $F = 100000; - my $xfervalue = ((($A * $F) / $B) -> bfloor() ) / $F; + my $xfervalue = floor(($A * $F) / $B) / $F; # SLGEO 48(3): we do arithmetic to 5 d3ecimal places, # but always rounding down votelog $v, "transferring with value $xfervalue (A=$A B=$B)"; @@ -322,8 +378,8 @@ for (;;) { die unless $tspr{"@$previously"} == $xfervalue; } else { $tspr{"@$previously"} = $xfervalue; - prf "transfer value of ballots %s: %10s\n", - "@$previously", $xfervalue; + prf "transfer value of ballots %20s: %s\n", + "@$previously", sv $xfervalue; } } sortballots @{ $c->{Votes} }; @@ -349,4 +405,17 @@ for (;;) { die; } -print "done.\n"; +print "Winners:\n"; + +if ($for_compare) { + foreach my $c (sort { $a->{Cand} cmp $b->{Cand} } @elected) { + printf " %s\n", $c->{Cand}; + } +} else { + foreach my $i (0..$#elected) { + my $c = $elected[$i]; + printf " %3d. %-10s %s\n", $i+1, $c->{Cand}, $c->{Desc}; + } +} + +print "done.\n";