4 use Math::Vector::Real;
15 my $slope_angle = 45 * TAU/360;
21 my $sine_angle = 1.2 * TAU/8;
23 my $ballend_xr = $thick/2;
27 my @i_sections = qw(ball0 -6
39 my @j_sections = qw(lin0 2
50 my ($ip,$it, $jp,$jt) = @_;
55 ($ip =~ m/0$/ ? -1 : +1),
60 my $i_thickscale = 1.0;
61 my $sine_len = $sine_size * sin($sine_angle);
62 my $sine_height = $sine_size * (1 - cos($sine_angle));
64 if ($ip =~ m/^lin[01]$/) {
65 $i_offset = V( -$lin_len * $it,
68 } elsif ($ip =~ m/^circle$/) {
69 $i_offset = V( 0,0,0 );
70 $i_outward = V( sin($it * TAU/2),
73 } elsif ($ip =~ m/^sine[01]$/) {
74 my $angle = $it * $sine_angle;
75 $i_offset = V( -$lin_len -$sine_size * sin($angle),
77 +$sine_size * (1 - cos($angle))
79 $i_j_y_angle = $angle;
80 } elsif ($ip =~ m/^ball[02]$/) {
81 $i_j_y_angle = $sine_angle;
82 my $angle = $it * TAU/4;
83 my $dx = sin($angle) * $ballend_xr;
84 $i_offset = V( -$lin_len -$sine_len - $dx,
88 $i_thickscale = cos($angle);
93 $i_j_y_vect = V( sin($i_j_y_angle),
97 my $j_plus_th = $jp =~ m/2$/ ? $thick : 0;
99 my $i_thick = $thick * $i_thickscale;
100 my $j_p_x = $small_dia/2 + $thick/2;
101 my $j_rs_x = $large_dia/2 + $thick/2;
102 my $j_dqr_x = (1-cos($slope_angle)) * $jcurverad;
103 my $j_q_x = $j_rs_x - $j_dqr_x;
104 my $j_dpq = ($j_q_x - $j_p_x) / asin($slope_angle);
105 #print STDERR "($j_q_x - $j_p_x) / asin($slope_angle); => $j_dpq\n";
107 my $j_q_y = $j_p_y + $j_dpq * cos($slope_angle);
108 my $j_r_y = $j_q_y + sin($slope_angle) * $jcurverad;
110 my $j_qrc_x = $j_rs_x - $jcurverad;
111 my $j_qrc_y = $j_r_y;
116 if ($jp =~ m/^curveE$/) {
117 my $angle = ($jt + 1) * TAU/2 - $slope_angle;
118 $j_x = $j_p_x + $i_thick/2 * cos($angle);
119 $j_y = $j_p_y + $i_thick/2 * sin($angle);
120 } elsif ($jp =~ m/^curve[12]$/) {
121 my $angle = $slope_angle * $jt;
122 my $outwards = $jp =~ m/1/ ? -1 : +1;
123 $j_x = $j_qrc_x + cos($angle) * ($jcurverad + $outwards * $i_thick/2);
124 $j_y = $j_qrc_y - sin($angle) * ($jcurverad + $outwards * $i_thick/2);
125 } elsif ($jp =~ m/^lin0$/) {
126 $j_x = $j_rs_x + $i_thick * (+0.5 - $jt);
136 $i_j_y_vect = V(0,0,1);
139 # print STDERR "@_ $j_x $j_y $i_offset $i_outward\n";
144 V(0,0,1) * $j_qrc_y +
148 sub get_sections_ptvals {
151 while (my $name = shift @_) {
153 push @out, $last_ptval;
155 my $count = shift @_;
156 my $neg = sub { $_[0] };
159 $neg = sub { 1- $_[0] };
161 foreach (my $ix = 0; $ix < $count; $ix++) {
162 push @out, [ $name, $neg->($ix/$count) ];
164 $last_ptval = [ $name, $neg->(1.0) ];
176 foreach my $pval (@_) {
177 my $pix = $point_indices{$pval}
178 //= ((push @points, $pval), $#points);
179 return if grep { $pix eq $_ } @pixs;
182 push @triangles, \@pixs;
186 my @ipts = get_sections_ptvals(@i_sections);
187 my @jpts = get_sections_ptvals(@j_sections);
189 foreach my $ipt (@ipts) {
191 foreach my $jpt (@jpts) {
192 push @row, &point(@$ipt, @$jpt);
196 foreach (my $qi=0; $qi<$#ipts; $qi++) { # i direction does not wrap
198 foreach (my $qj=0; $qj<@jpts; $qj++) { # j direction does wrap
199 my $qj2 = ($qj+1) % @jpts;
200 my $p0 = $sheet[$qi][$qj];
201 triangle($p0, $sheet[$qi2][$qj], $sheet[$qi2][$qj2]);
202 triangle($p0, $sheet[$qi2][$qj2], $sheet[$qi][$qj2]);
209 return "[".(join ',', @$v)."]";
213 print "module ImplHeadCup(){ polyhedron(points=[\n" or die $!;
214 print pv($_),",\n" or die $! foreach @points;
215 print "],faces=[\n" or die $!;
216 print pv($_),",\n" or die $! foreach @triangles;
217 print "],convexity=10); }\n" or die $!;
218 print <<END or die $!;
219 implheadcup_large_dia = $large_dia;
220 implheadcup_thick = $thick;