4 use Math::Vector::Real;
15 my $slope_angle = 45 * TAU/360;
24 my $ballend_xr = $thick/2;
26 my @i_sections = qw(ball0 6
37 my @j_sections = qw(lin0 2
48 my ($ip,$it, $jp,$jt) = @_;
50 my ($i_offset, $i_outward);
53 ($ip =~ m/0$/ ? -1 : +1),
56 my $i_thickscale = 1.0;
58 if ($ip =~ m/^lin[01]$/) {
59 $i_offset = V( $lin_len * ($ip =~ m/1/ ? $it : 1-$it),
62 } elsif ($ip =~ m/^circle$/) {
63 $i_offset = V( 0,0,0 );
64 $i_outward = V( sin($it * TAU/2),
67 } elsif ($ip =~ m/^lin2$/) {
68 $i_offset = V( -$lin_len -$sine_len + $it*$lin2_len,
71 } elsif ($ip =~ m/^sine[01]$/) {
72 $i_offset = V( -$lin_len -$it*$sine_len,
74 $sine_height * ( 0.5 - 0.5*cos( $it*TAU/2 ) )
76 } elsif ($ip =~ m/^ball[02]$/) {
77 my $angle = ($ip =~ m/0/ ? (1-$it) : $it) * TAU/4;
78 $i_offset = V( -$lin_len -$sine_len
79 -($ip =~ m/2/ ? $lin2_len : 0)
80 -sin($angle) * $ballend_xr,
88 my $j_plus_th = $jp =~ m/2$/ ? $thick : 0;
90 my $i_thick = $thick * $i_thickscale;
91 my $j_p_x = $small_dia/2 + $thick;
92 my $j_rs_x = $large_dia/2 + $thick;
93 my $j_dqr_x = (1-cos($slope_angle)) * $jcurverad;
94 my $j_q_x = $j_rs_x - $j_dqr_x;
95 my $j_dpq = ($j_q_x - $j_p_x) / asin($slope_angle);
96 #print STDERR "($j_q_x - $j_p_x) / asin($slope_angle); => $j_dpq\n";
98 my $j_q_y = $j_p_y + $j_dpq * cos($slope_angle);
99 my $j_r_y = $j_q_y + sin($slope_angle) * $jcurverad;
101 my $j_qrc_x = $j_rs_x - $jcurverad;
102 my $j_qrc_y = $j_r_y;
107 if ($jp =~ m/^curveE$/) {
108 my $angle = ($jt + 1) * TAU/2 - $slope_angle;
109 $j_x = $j_p_x + $i_thick * cos($angle);
110 $j_y = $j_p_y + $i_thick * sin($angle);
111 } elsif ($jp =~ m/^curve[12]$/) {
112 my $angle = $slope_angle * ($jp =~ m/1/ ? $jt : (1-$jt));
113 my $outwards = $jp =~ m/1/ ? -1 : +1;
114 $j_x = $j_qrc_x + cos($angle) * ($jcurverad + $outwards * $i_thick);
115 $j_y = $j_qrc_y + sin($angle) * ($jcurverad + $outwards * $i_thick);
116 } elsif ($jp =~ m/^lin0$/) {
117 $j_x = $j_rs_x + $i_thick * (-0.5 + 0.5 * $jt);
123 # print STDERR "@_ $j_x $j_y $i_offset $i_outward\n";
130 sub get_sections_ptvals {
133 while (my $name = shift @_) {
135 push @out, [ $last_name, 1.0 ];
137 my $count = shift @_;
138 foreach (my $ix = 0; $ix < $count; $ix++) {
139 push @out, [ $name, $ix/$count ];
153 foreach my $pval (@_) {
154 my $pix = $point_indices{$pval}
155 //= ((push @points, $pval), $#points);
156 return if grep { $pix eq $_ } @pixs;
159 push @triangles, \@pixs;
163 my @ipts = get_sections_ptvals(@i_sections);
164 my @jpts = get_sections_ptvals(@j_sections);
166 foreach my $ipt (@ipts) {
168 foreach my $jpt (@jpts) {
169 push @row, &point(@$ipt, @$jpt);
173 foreach (my $qi=0; $qi<$#ipts; $qi++) { # i direction does not wrap
175 foreach (my $qj=0; $qj<@jpts; $qj++) { # j direction does wrap
176 my $qj2 = ($qj+1) % @jpts;
177 my $p0 = $sheet[$qi][$qj];
178 triangle($p0, $sheet[$qi2][$qj], $sheet[$qi2][$qj2]);
179 triangle($p0, $sheet[$qi2][$qj2], $sheet[$qi2][$qj2]);
186 return "[".(join ',', @$v)."]";
190 print "polyhedron(points=[\n" or die $!;
191 print pv($_),",\n" or die $! foreach @points;
192 print "],triangles=[\n" or die $!;
193 print pv($_),",\n" or die $! foreach @triangles;
194 print "],convexity=10);\n" or die $!;