5 use Math::Vector::Real;
8 use constant tau => pi*2;
12 // *** AUTOGENERATED - DO NOT EDIT ***
19 my $N = 30; # around ellipse
20 my $M = 20; # around each circle
21 my @channeldistprops = (0, 1/3, 2/3);
24 my $theta = tau * $_ / $N;
25 V( cos($theta) * $ellipse * $xscale, sin($theta) * $ellipse, 0 )
28 #print Dumper(\@ellipse);
32 $ellipse[ ($i+1) % $N ] - $ellipse[ ($i-1) % $N];
37 my $centre = $ellipse[$i];
38 my $axis = $alongs[$i]->versor();
39 my $rad0 = $axis x V(0,0,1);
40 my $rad1 = $rad0 x $axis;
42 my $theta = tau * $_ / $M;
43 $centre + $circle * ($rad0 * cos($theta) + $rad1 * sin($theta));
49 return "[ ".(join ", ", @$v)." ]"
53 print "module Torusy(){ polyhedron(points=[";
56 foreach my $i (0..$N-1) {
57 foreach my $j (0..$M-1) {
60 print " ",(scadvec $circles[$i][$j]);
61 $cirpt[$i][$j] = $ptix++;
67 foreach my $i (0..$N-1) {
69 foreach my $j (0..$M-1) {
71 print "," if $i || $j;
73 print " [ ", (join ", ",
78 print " [ ", (join ", ",
93 foreach my $i (1..$N) {
94 my $dist = $distances[ $i-1 ];
95 $dist += abs($ellipse[$i % $N] - $ellipse[$i-1]);
96 $distances[$i] = $dist;
99 sub infodistprop ($) {
102 # ( $ellipse_centreline_point,
104 my $dist = $distprop * $distances[$N];
105 foreach my $i (0..$N-1) {
107 ($dist - $distances[$i]) /
108 ($distances[$i+1] - $distances[$i]);
109 next unless 0 <= $prorata && $prorata <= 1;
110 print "// infodistprop $distprop => #$i=$ellipse[$i] $prorata $ellipse[$i+1]\n";
112 (1-$prorata) * $ellipse[$i] + ($prorata) * $ellipse[$i+1],
120 print "module Channels(){\n";
123 (map { 0.5 * $_ } @channeldistprops),
124 (map { 0.5 * ($_+1) } @channeldistprops),
126 my ($ctr, $along) = infodistprop($cdp);
127 my $angle = atan2(-$along->[0], $along->[1]);
128 print " translate(",scadvec($ctr),")\n";
129 print " rotate([0,0,$angle*360/",tau,"])\n";
130 print " rotate([0,90,0])\n";
131 print " translate([0,0, -2*$circle])\n";
132 print " cylinder(r=$channel, h=4*$circle, \$fn=$M);\n";
139 while (<DATA>) { print };
141 STDOUT->error and die $!;
142 STDOUT->flush or die $!;