use Math::Vector::Real;
+my $thick = 4;
+
+my $small_dia = 20;
+my $large_dia = 30;
+my $slope_angle = 45;
+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
lin2 2
ball2 6);
+my @j_sections = qw(lin0 2
+ !
+ curve1 10
+ |
+ curveE 5
+ |
+ curve2 10
+ |
+ );
+
sub point ($$) {
my ($ip,$it, $jp,$jt) = @_;
($ip =~ m/0$/ ? -1 : +1),
0 );
+ $i_thickscale = 1.0;
+
if ($ip =~ m/^lin[01]$/) {
$i_offset = V( $lin_len * ($ip =~ m/1/ ? $it : 1-$it),
0,
0 );
} elsif ($ip =~ m/^circle$/) {
$i_offset = V( 0,0,0 );
- $i_outward = V( sin($ip / PI),
- -cos($ip / PI),
+ $i_outward = V( sin($it * TAU/2),
+ -cos($ip * TAU/2),
0 );
} elsif ($ip =~ m/^lin2$/) {
- $i_offset = V( -$lin_len -$sine_len,
+ $i_offset = V( -$lin_len -$sine_len + $it*$lin2_len,
0,
+1 );
} elsif ($ip =~ m/^sine[01]$/) {
$i_offset = V( -$lin_len -$it*$sine_len,
0,
- $sine_height * ( 0.5 - 0.5*cos( $it*PI ) )
+ $sine_height * ( 0.5 - 0.5*cos( $it*TAU/2 ) )
+ );
+ } elsif ($ip =~ m/^ball[02]$/) {
+ my $angle = ($ip =~ m/0/ ? (1-$it) : $it) * TAU/4;
+ $i_offset = V( -$lin_len -$sine_len
+ -($ip =~ m/2/ ? $lin2_len : 0)
+ -sin($angle) * $ballend_xr,
+ 0,
+ +$sine_height;
);
} 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;
+ my $j_rs_x = $large_dia/2 + $thick;
+ 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);
+ 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 = $j_r_y;
+
+ if ($jp =~ m/^curveE$/) {
+ my $angle = ($jt + 1) * TAU/2 - $slope_angle;
+ $j_x = $j_p_x + $i_thick * cos($angle);
+ $j_y = $j_p_y + $i_thick * sin($angle);
+ } elsif ($jp =~ m/^curve[12]E$/) {
+ my $angle = $slope_angle * ($jp =~ m/1/ ? $jt : (1-$jt));
+ my $outwards = $jp =~ m/1/ ? -1 : +1;
+ $j_x = $j_qrc_x + cos($angle) * ($jcurverad + $outwards * $i_thick);
+ $j_y = $j_qrc_y + sin($angle) * ($jcurverad + $outwards * $i_thick);
+ } elsif ($jp =~ m/^lin0$/) {
+ $j_x = $j_rs_x + $i_thick * (-0.5 + 0.5 * jt);
+ $j_y = $j_s_y;
+ } else {
+ die "$jp ?";
+ }
+
+ return
+ $i_offset +
+ $i_outward * $j_x +
+ [0,0,1] * $j_y;
+}