From 9210fd8cb6694f7478f9122efdf105470e2680b2 Mon Sep 17 00:00:00 2001
From: Ian Jackson <ijackson@chiark.greenend.org.uk>
Date: Thu, 28 Feb 2019 18:40:14 +0000
Subject: [PATCH] wip

---
 generate-board | 65 ++++++++++++++++++++++++++++++++++++++++++++++++--
 misc-data.pl   |  7 ++++--
 2 files changed, 68 insertions(+), 4 deletions(-)

diff --git a/generate-board b/generate-board
index d9e83e2..08208cb 100755
--- a/generate-board
+++ b/generate-board
@@ -4,10 +4,16 @@ use strict;
 use Carp;
 use Data::Dumper;
 use Math::GSL::Vector;
-use Math::GSL::Matrix;
+use Math::GSL::Matrix qw/:all/;
+use Math::GSL::Const;
+use Math::GSL::CBLAS qw/:all/;
+use Math::GSL::Machine qw/:all/;
+
+use POSIX qw(M_PI);
 
 BEGIN { unshift @INC, qw(.); }
 
+our %c;
 require 'misc-data.pl';
 
 use Parse;
@@ -15,6 +21,9 @@ use Parse;
 our $facesf;
 our %vxname2pos; # $vxname2pos{VXNAME} = Math::GSL::Vector
 
+sub TAU { M_PI * 2.0; }
+sub MM2PT { 72.0 / 25.4; }
+
 # ----- region names from plag, incl. reverse mapping -----
 
 our %prs2region;
@@ -131,7 +140,58 @@ sub calculate_centres () {
     $sum += $_->{Pos} foreach @$poly;
     $rr->{Centre} = $sum * (1.0 / @$poly);
   }
-  #  my $cnortn = 
+}
+
+sub for_each_pos ($) {
+  my ($f) = @_;
+  foreach my $rr (values %region) {
+    $f->( \ $rr->{Centre} );
+    foreach my $vertex (@{ $rr->{Polygon} }) {
+      $f->( \ $vertex->{Pos} );
+    }
+  }
+}
+
+sub transform_coordinates () {
+  # Adjusts coordinates in graph to be [0,0] .. top right (scaled)
+  # until it's all in PostScript points
+  my @or = map { $region{$_}{Centre} } $c{OrientRegions};
+  my $dir = $or[1] - $or[0];
+  my $theta = atan2 $dir->[1], $dir->[0];
+  my $rotateby = (90 - $c{OrientBearing}) * TAU - $theta;
+  $rotateby += TAU*2;
+  $rotateby %= TAU;
+  my $s = sin($rotateby);
+  my $c = cos($rotateby);
+  my $transform = Math::GSL::Matrix->new([[  $c,  $s ],
+					  [ -$s,  $c ]]);
+  my @lims;
+  foreach my $topend (qw(0 1)) {
+    my $v = $topend ? $GSL_DBL_MAX : $GSL_DBL_MIN;
+    push @lims, Math::GSL::new([$v,$v]);
+  }
+  for_each_pos(sub {
+    my ($pr) = @_;
+    my $y = Math::GSL::Vector->new(2);
+    gsl_blas_dgemv($CblasNoTrans, 1.0, $transform, $$pr, 0., $y) or confess;
+    gsl_blas_dcopy($$pr, $y) or confess;
+    foreach my $topend (qw(0 1)) {
+      foreach my $xy (qw(0 1)) {
+	my $now = $y->get($xy);
+	my $lim = $lims[$topend]->get($xy);
+	next if $topend ? ($now <= $lim) : ($now >= $lim);
+	$lims[$topend]->set($xy, $now);
+      }
+    }
+  });
+  my $translate = -$lims[0];
+  print STDERR "translate $translate\n";
+  my $scale = $c{GraphScale} * MM2PT;
+  for_each_pos(sub {
+    my ($pr) = @_;
+    gsl_vector_add($$pr, $translate) or confess;
+    gsl_vector_scale($$pr, $scale) or confess;
+  });
 }
 
 #----- main program -----
@@ -141,6 +201,7 @@ parse_input_graph();
 prep_region_rmap();
 read_faces();
 calculate_centres();
+transform_coordinates();
 
 print Dumper(\%region);
 
diff --git a/misc-data.pl b/misc-data.pl
index ef042a6..66a20a1 100644
--- a/misc-data.pl
+++ b/misc-data.pl
@@ -1,3 +1,6 @@
-our %c = (
-  OrientRegions => [ 'Roer en Overmaas', 'Noorderzijlvest' ],
+our %c =
+(
+ OrientRegions => [ 'Roer en Overmaas', 'Noorderzijlvest' ],
+ OrientBearing => 0,
+ GraphScale => 25,
 );
-- 
2.30.2