--- /dev/null
+#!/usr/bin/perl -w
+use strict;
+
+use Math::Vector::Real;
+use Math::Trig qw(pi);
+use POSIX;
+use Data::Dumper;
+
+sub TAU () { pi*2; }
+
+my $thick = 4;
+
+my $small_dia = 20;
+my $large_dia = 30;
+my $slope_angle = 45 * TAU/360;
+my $jcurverad = 5;
+my $tall = 50;
+
+my $lin_len = 10;
+my $lin2_len = 9;
+my $sine_len = 8;
+my $sine_height = 6;
+
+my $ballend_xr = $thick/2;
+
+my @i_sections = qw(ball0 -6
+ sine0 -10
+ -
+ lin0 2
+ circle 20
+ lin1 2
+ sine1 10
+ -
+ lin2 -2
+ ball2 6
+ -
+ );
+
+my @j_sections = qw(lin0 2
+ -
+ curve1 10
+ -
+ curveE 20
+ -
+ curve2 -10
+ -
+ );
+
+sub point ($$$$) {
+ my ($ip,$it, $jp,$jt) = @_;
+
+ my ($i_offset, $i_outward);
+
+ $i_outward = V( 0,
+ ($ip =~ m/0$/ ? -1 : +1),
+ 0 );
+
+ my $i_thickscale = 1.0;
+
+ if ($ip =~ m/^lin[01]$/) {
+ $i_offset = V( -$lin_len * $it,
+ 0,
+ 0 );
+ } elsif ($ip =~ m/^circle$/) {
+ $i_offset = V( 0,0,0 );
+ $i_outward = V( sin($it * TAU/2),
+ -cos($it * TAU/2),
+ 0 );
+ } elsif ($ip =~ m/^lin2$/) {
+ $i_offset = V( -$lin_len -$sine_len - $it*$lin2_len,
+ 0,
+ +$sine_height );
+ } elsif ($ip =~ m/^sine[01]$/) {
+ $i_offset = V( -$lin_len -$it*$sine_len,
+ 0,
+ $sine_height * ( 0.5 - 0.5*cos( $it*TAU/2 ) )
+ );
+ } elsif ($ip =~ m/^ball[02]$/) {
+ my $angle = $it * TAU/4;
+ $i_offset = V( -$lin_len -$sine_len
+ -($ip =~ m/2/ ? $lin2_len : 0)
+ -sin($angle) * $ballend_xr,
+ 0,
+ +$sine_height
+ );
+ $i_thickscale = cos($angle);
+ } else {
+ die "$ip ?";
+ }
+
+ my $j_plus_th = $jp =~ m/2$/ ? $thick : 0;
+
+ my $i_thick = $thick * $i_thickscale;
+ my $j_p_x = $small_dia/2 + $thick/2;
+ my $j_rs_x = $large_dia/2 + $thick/2;
+ my $j_dqr_x = (1-cos($slope_angle)) * $jcurverad;
+ my $j_q_x = $j_rs_x - $j_dqr_x;
+ my $j_dpq = ($j_q_x - $j_p_x) / asin($slope_angle);
+ #print STDERR "($j_q_x - $j_p_x) / asin($slope_angle); => $j_dpq\n";
+ my $j_p_y = 0;
+ my $j_q_y = $j_p_y + $j_dpq * cos($slope_angle);
+ my $j_r_y = $j_q_y + sin($slope_angle) * $jcurverad;
+ my $j_s_y = $tall;
+ my $j_qrc_x = $j_rs_x - $jcurverad;
+ my $j_qrc_y = $j_r_y;
+
+ my $j_x;
+ my $j_y;
+
+ if ($jp =~ m/^curveE$/) {
+ my $angle = ($jt + 1) * TAU/2 - $slope_angle;
+ $j_x = $j_p_x + $i_thick/2 * cos($angle);
+ $j_y = $j_p_y + $i_thick/2 * sin($angle);
+ } elsif ($jp =~ m/^curve[12]$/) {
+ my $angle = $slope_angle * $jt;
+ my $outwards = $jp =~ m/1/ ? -1 : +1;
+ $j_x = $j_qrc_x + cos($angle) * ($jcurverad + $outwards * $i_thick/2);
+ $j_y = $j_qrc_y - sin($angle) * ($jcurverad + $outwards * $i_thick/2);
+ } elsif ($jp =~ m/^lin0$/) {
+ $j_x = $j_rs_x + $i_thick * (+0.5 - $jt);
+ $j_y = $j_s_y;
+ $i_offset->[2] = 0;
+ } else {
+ die "$jp ?";
+ }
+
+# print STDERR "@_ $j_x $j_y $i_offset $i_outward\n";
+ return
+ $i_offset +
+ $j_x * $i_outward +
+ V(0,0,1) * $j_y +
+ V(0,0,-$tall) ;
+}
+
+sub get_sections_ptvals {
+ my $last_ptval;
+ my @out;
+ while (my $name = shift @_) {
+ if ($name eq '-') {
+ push @out, $last_ptval;
+ } else {
+ my $count = shift @_;
+ my $neg = sub { $_[0] };
+ if ($count < 0) {
+ $count = -$count;
+ $neg = sub { 1- $_[0] };
+ }
+ foreach (my $ix = 0; $ix < $count; $ix++) {
+ push @out, [ $name, $neg->($ix/$count) ];
+ }
+ $last_ptval = [ $name, $neg->(1.0) ];
+ }
+ }
+ return @out;
+}
+
+our @points;
+our %point_indices;
+our @triangles;
+
+sub triangle {
+ my @pixs;
+ foreach my $pval (@_) {
+ my $pix = $point_indices{$pval}
+ //= ((push @points, $pval), $#points);
+ return if grep { $pix eq $_ } @pixs;
+ push @pixs, $pix;
+ }
+ push @triangles, \@pixs;
+}
+
+sub make_sheet () {
+ my @ipts = get_sections_ptvals(@i_sections);
+ my @jpts = get_sections_ptvals(@j_sections);
+ my @sheet;
+ foreach my $ipt (@ipts) {
+ my @row = ();
+ foreach my $jpt (@jpts) {
+ push @row, &point(@$ipt, @$jpt);
+ }
+ push @sheet, \@row;
+ }
+ foreach (my $qi=0; $qi<$#ipts; $qi++) { # i direction does not wrap
+ my $qi2 = $qi+1;
+ foreach (my $qj=0; $qj<@jpts; $qj++) { # j direction does wrap
+ my $qj2 = ($qj+1) % @jpts;
+ my $p0 = $sheet[$qi][$qj];
+ triangle($p0, $sheet[$qi2][$qj], $sheet[$qi2][$qj2]);
+ triangle($p0, $sheet[$qi2][$qj2], $sheet[$qi][$qj2]);
+ }
+ }
+}
+
+sub pv ($) {
+ my $v = shift @_;
+ return "[".(join ',', @$v)."]";
+}
+
+sub write_out () {
+ print "module ImplHeadCup(){ polyhedron(points=[\n" or die $!;
+ print pv($_),",\n" or die $! foreach @points;
+ print "],faces=[\n" or die $!;
+ print pv($_),",\n" or die $! foreach @triangles;
+ print "],convexity=10); }\n" or die $!;
+}
+
+make_sheet();
+write_out();