4 use Math::Vector::Real;
15 my $slope_angle = 45 * TAU/360;
21 my $sine_angle = 1.20 * TAU/8;
23 my $ballend_xr = $thick/2;
27 my @i_sections = qw(ball0 -6
38 my @j_sections = qw(lin0 2
49 my ($ip,$it, $jp,$jt) = @_;
54 ($ip =~ m/0$/ ? -1 : +1),
59 my $i_thickscale = 1.0;
60 my $sine_len = $sine_size * sin($sine_angle);
61 my $sine_height = $sine_size * (1 - cos($sine_angle));
63 if ($ip =~ m/^lin[01]$/) {
64 $i_offset = V( -$lin_len * $it,
67 } elsif ($ip =~ m/^circle$/) {
68 $i_offset = V( 0,0,0 );
69 $i_outward = V( sin($it * TAU/2),
72 } elsif ($ip =~ m/^sine[01]$/) {
73 my $angle = $it * $sine_angle;
74 $i_offset = V( -$lin_len -$sine_size * sin($angle),
76 +$sine_size * (1 - cos($angle))
78 $i_j_y_angle = $angle;
79 } elsif ($ip =~ m/^ball[02]$/) {
80 $i_j_y_angle = $sine_angle;
81 my $angle = $it * TAU/4;
82 my $dx = sin($angle) * $ballend_xr;
83 $i_offset = V( -$lin_len -$sine_len - $dx * cos($sine_angle),
85 +$sine_height + $dx * sin($sine_angle)
87 $i_thickscale = cos($angle);
92 my $i_j_y_vect = V( sin($i_j_y_angle),
96 my $j_plus_th = $jp =~ m/2$/ ? $thick : 0;
98 my $i_thick = $thick * $i_thickscale;
99 my $j_p_x = $small_dia/2 + $thick/2;
100 my $j_rs_x = $large_dia/2 + $thick/2;
101 my $j_dqr_x = (1-cos($slope_angle)) * $jcurverad;
102 my $j_q_x = $j_rs_x - $j_dqr_x;
103 my $j_dpq = ($j_q_x - $j_p_x) / asin($slope_angle);
104 #print STDERR "($j_q_x - $j_p_x) / asin($slope_angle); => $j_dpq\n";
106 my $j_q_y = $j_p_y + $j_dpq * cos($slope_angle);
107 my $j_r_y = $j_q_y + sin($slope_angle) * $jcurverad;
109 my $j_qrc_x = $j_rs_x - $jcurverad;
110 my $j_qrc_y = $j_r_y;
115 if ($jp =~ m/^curveE$/) {
116 my $angle = ($jt + 1) * TAU/2 - $slope_angle;
117 $j_x = $j_p_x + $i_thick/2 * cos($angle);
118 $j_y = $j_p_y + $i_thick/2 * sin($angle);
119 } elsif ($jp =~ m/^curve[12]$/) {
120 my $angle = $slope_angle * $jt;
121 my $outwards = $jp =~ m/1/ ? -1 : +1;
122 $j_x = $j_qrc_x + cos($angle) * ($jcurverad + $outwards * $i_thick/2);
123 $j_y = $j_qrc_y - sin($angle) * ($jcurverad + $outwards * $i_thick/2);
124 } elsif ($jp =~ m/^lin0$/) {
125 $j_x = $j_rs_x + $i_thick * (+0.5 - $jt);
135 $i_j_y_vect = V(0,0,1);
138 # print STDERR "@_ $j_x $j_y $i_offset $i_outward\n";
143 V(0,0,1) * $j_qrc_y +
147 sub get_sections_ptvals {
150 while (my $name = shift @_) {
152 push @out, $last_ptval;
154 my $count = shift @_;
155 my $neg = sub { $_[0] };
158 $neg = sub { 1- $_[0] };
160 foreach (my $ix = 0; $ix < $count; $ix++) {
161 push @out, [ $name, $neg->($ix/$count) ];
163 $last_ptval = [ $name, $neg->(1.0) ];
175 foreach my $pval (@_) {
176 my $pix = $point_indices{$pval}
177 //= ((push @points, $pval), $#points);
178 return if grep { $pix eq $_ } @pixs;
181 push @triangles, \@pixs;
185 my @ipts = get_sections_ptvals(@i_sections);
186 my @jpts = get_sections_ptvals(@j_sections);
188 foreach my $ipt (@ipts) {
190 foreach my $jpt (@jpts) {
191 push @row, &point(@$ipt, @$jpt);
195 foreach (my $qi=0; $qi<$#ipts; $qi++) { # i direction does not wrap
197 foreach (my $qj=0; $qj<@jpts; $qj++) { # j direction does wrap
198 my $qj2 = ($qj+1) % @jpts;
199 my $p0 = $sheet[$qi][$qj];
200 triangle($p0, $sheet[$qi2][$qj], $sheet[$qi2][$qj2]);
201 triangle($p0, $sheet[$qi2][$qj2], $sheet[$qi][$qj2]);
208 return "[".(join ',', @$v)."]";
212 print "module ImplHeadCup(){ polyhedron(points=[\n" or die $!;
213 print pv($_),",\n" or die $! foreach @points;
214 print "],faces=[\n" or die $!;
215 print pv($_),",\n" or die $! foreach @triangles;
216 print "],convexity=10); }\n" or die $!;
217 print <<END or die $!;
218 implheadcup_large_dia = $large_dia;
219 implheadcup_thick = $thick;