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Use Clipper for line clipping
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1d6a18071a
commit
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20 changed files with 202 additions and 211 deletions
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@ -11,9 +11,9 @@ our @EXPORT_OK = qw(
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point_in_polygon point_in_segment segment_in_segment
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point_is_on_left_of_segment polyline_lines polygon_lines
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point_along_segment polygon_segment_having_point polygon_has_subsegment
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polygon_has_vertex can_connect_points deg2rad rad2deg
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rotate_points move_points clip_segment_polygon
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sum_vectors multiply_vector subtract_vectors dot perp polygon_points_visibility
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deg2rad rad2deg
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rotate_points move_points
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dot perp polygon_points_visibility
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line_intersection bounding_box bounding_box_intersect
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angle3points three_points_aligned line_direction
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polyline_remove_parallel_continuous_edges polyline_remove_acute_vertices
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@ -229,14 +229,6 @@ sub polygon_has_subsegment {
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return 0;
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}
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sub polygon_has_vertex {
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my ($polygon, $point) = @_;
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foreach my $p (@$polygon) {
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return 1 if points_coincide($p, $point);
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}
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return 0;
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}
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# polygon must be simple (non complex) and ccw
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sub polygon_is_convex {
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my ($points) = @_;
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@ -247,29 +239,6 @@ sub polygon_is_convex {
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return 1;
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}
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sub can_connect_points {
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my ($p1, $p2, $polygons) = @_;
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# check that the two points are visible from each other
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return 0 if grep !polygon_points_visibility($_, $p1, $p2), @$polygons;
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# get segment where $p1 lies
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my $p1_segment;
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for (@$polygons) {
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$p1_segment = polygon_segment_having_point($_, $p1);
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last if $p1_segment;
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}
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# defensive programming, this shouldn't happen
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if (!$p1_segment) {
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die sprintf "Point %f,%f wasn't found in polygon contour or holes!", @$p1;
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}
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# check whether $p2 is internal or external (internal = on the left)
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return point_is_on_left_of_segment($p2, $p1_segment)
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|| point_in_segment($p2, $p1_segment);
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}
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sub deg2rad {
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my ($degrees) = @_;
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return PI() * $degrees / 180;
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@ -315,65 +284,6 @@ sub move_points_3D {
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], @points;
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}
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# implementation of Liang-Barsky algorithm
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# polygon must be convex and ccw
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sub clip_segment_polygon {
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my ($line, $polygon) = @_;
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if (@$line == 1) {
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# the segment is a point, check for inclusion
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return point_in_polygon($line, $polygon);
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}
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my @V = (@$polygon, $polygon->[0]);
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my $tE = 0; # the maximum entering segment parameter
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my $tL = 1; # the minimum entering segment parameter
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my $dS = subtract_vectors($line->[B], $line->[A]); # the segment direction vector
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for (my $i = 0; $i < $#V; $i++) { # process polygon edge V[i]V[Vi+1]
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my $e = subtract_vectors($V[$i+1], $V[$i]);
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my $N = perp($e, subtract_vectors($line->[A], $V[$i]));
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my $D = -perp($e, $dS);
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if (abs($D) < epsilon) { # $line is nearly parallel to this edge
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($N < 0) ? return : next; # P0 outside this edge ? $line is outside : $line cannot cross edge, thus ignoring
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}
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my $t = $N / $D;
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if ($D < 0) { # $line is entering across this edge
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if ($t > $tE) { # new max $tE
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$tE = $t;
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return if $tE > $tL; # $line enters after leaving polygon?
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}
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} else { # $line is leaving across this edge
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if ($t < $tL) { # new min $tL
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$tL = $t;
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return if $tL < $tE; # $line leaves before entering polygon?
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}
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}
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}
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# $tE <= $tL implies that there is a valid intersection subsegment
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return [
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sum_vectors($line->[A], multiply_vector($dS, $tE)), # = P(tE) = point where S enters polygon
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sum_vectors($line->[A], multiply_vector($dS, $tL)), # = P(tE) = point where S enters polygon
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];
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}
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sub sum_vectors {
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my ($v1, $v2) = @_;
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return [ $v1->[X] + $v2->[X], $v1->[Y] + $v2->[Y] ];
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}
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sub multiply_vector {
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my ($line, $scalar) = @_;
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return [ $line->[X] * $scalar, $line->[Y] * $scalar ];
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}
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sub subtract_vectors {
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my ($line2, $line1) = @_;
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return [ $line2->[X] - $line1->[X], $line2->[Y] - $line1->[Y] ];
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}
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sub normal {
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my ($line1, $line2) = @_;
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