--- loncom/homework/imageresponse.pm 2003/10/27 19:27:09 1.37
+++ loncom/homework/imageresponse.pm 2005/06/22 12:03:23 1.72
@@ -1,7 +1,8 @@
+
# The LearningOnline Network with CAPA
# image click response style
#
-# $Id: imageresponse.pm,v 1.37 2003/10/27 19:27:09 albertel Exp $
+# $Id: imageresponse.pm,v 1.72 2005/06/22 12:03:23 albertel Exp $
#
# Copyright Michigan State University Board of Trustees
#
@@ -29,10 +30,13 @@
#currently
package Apache::imageresponse;
-use Apache::randomlylabel;
use strict;
-use Image::Magick;
-use GD;
+use Image::Magick();
+use Apache::randomlylabel();
+use Apache::londefdef();
+use Apache::Constants qw(:common :http);
+use Apache::lonlocal;
+use Apache::lonnet;
BEGIN {
&Apache::lonxml::register('Apache::imageresponse',('imageresponse'));
@@ -42,9 +46,12 @@ sub start_imageresponse {
my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
my $result;
#when in a radiobutton response use these
- &Apache::lonxml::register('Apache::imageresponse',('foilgroup','foil','text','image','rectangle','conceptgroup'));
+ &Apache::lonxml::register('Apache::imageresponse',
+ ('foilgroup','foil','text','image','rectangle',
+ 'polygon','conceptgroup'));
push (@Apache::lonxml::namespace,'imageresponse');
my $id = &Apache::response::start_response($parstack,$safeeval);
+ undef(%Apache::response::foilnames);
if ($target eq 'meta') {
$result=&Apache::response::meta_package_write('imageresponse');
} elsif ($target eq 'analyze') {
@@ -61,6 +68,7 @@ sub end_imageresponse {
&Apache::lonxml::deregister('Apache::imageresponse',('foilgroup','foil','text','image','rectangle','conceptgroup'));
my $result;
if ($target eq 'edit') { $result=&Apache::edit::end_table(); }
+ undef(%Apache::response::foilnames);
return $result;
}
@@ -68,7 +76,7 @@ sub end_imageresponse {
sub start_foilgroup {
%Apache::response::foilgroup=();
$Apache::imageresponse::conceptgroup=0;
- &Apache::response::setrandomnumber();
+ &Apache::response::pushrandomnumber();
return '';
}
@@ -78,7 +86,7 @@ sub getfoilcounts {
my $max = &Apache::lonxml::get_param('max',$parstack,$safeeval,'-2');
# +1 since instructors will count from 1
my $count = $#{ $Apache::response::foilgroup{'names'} }+1;
- if (&Apache::response::showallfoils()) { $max=$count; }
+ #if (&Apache::response::showallfoils()) { $max=$count; }
return ($count,$max);
}
@@ -90,11 +98,11 @@ sub whichfoils {
while ((($#whichopt+1) < $max) && ($#names > -1)) {
&Apache::lonxml::debug("Have $#whichopt max is $max");
my $aopt;
- if (&Apache::response::showallfoils()) {
- $aopt=0;
- } else {
+# if (&Apache::response::showallfoils()) {
+# $aopt=0;
+# } else {
$aopt=int(&Math::Random::random_uniform() * ($#names+1));
- }
+# }
&Apache::lonxml::debug("From $#names elms, picking $aopt");
$aopt=splice(@names,$aopt,1);
&Apache::lonxml::debug("Picked $aopt");
@@ -103,6 +111,73 @@ sub whichfoils {
return @whichopt;
}
+sub prep_image {
+ my ($image,$mode,$name)=@_;
+ my $part=$Apache::inputtags::part;
+ my $respid=$Apache::inputtags::response['-1'];
+ my $id=&Apache::loncommon::get_cgi_id();
+ my (%x,$i);
+ $x{"cgi.$id.BGIMG"}=&Apache::lonnet::escape($image);
+ my ($x,$y)=split(/:/,$Apache::lonhomework::history{"resource.$part.$respid.submission"});
+ #draws 2 xs on the image at the clicked location
+ #one in white and then one in red on top of the one in white
+ if (defined($x) && $x=~/\S/ && defined($y) && $y =~/\S/ && !&Apache::response::show_answer()) {
+ my $length = 6;
+ my $width = 1;
+ my $extrawidth = 2;
+ my $xmin=($x-$length);
+ my $xmax=($x+$length);
+ my $ymin=($y-$length);
+ my $ymax=($y+$length);
+
+ $x{"cgi.$id.OBJTYPE"}.='LINE:';
+ $i=$x{"cgi.$id.OBJCOUNT"}++;
+ $x{"cgi.$id.OBJ$i"}=join(':',(($xmin),($ymin),($xmax),($ymax),
+ "FFFFFF",($width+$extrawidth)));
+ $x{"cgi.$id.OBJTYPE"}.='LINE:';
+ $i=$x{"cgi.$id.OBJCOUNT"}++;
+ $x{"cgi.$id.OBJ$i"}=join(':',(($xmin),($ymax),($xmax),($ymin),
+ "FFFFFF",($width+$extrawidth)));
+ $x{"cgi.$id.OBJTYPE"}.='LINE:';
+ $i=$x{"cgi.$id.OBJCOUNT"}++;
+ $x{"cgi.$id.OBJ$i"}=join(':',(($xmin),($ymin),($xmax),($ymax),
+ "FF0000",($width)));
+ $x{"cgi.$id.OBJTYPE"}.='LINE:';
+ $i=$x{"cgi.$id.OBJCOUNT"}++;
+ $x{"cgi.$id.OBJ$i"}=join(':',(($xmin),($ymax),($xmax),($ymin),
+ "FF0000",($width)));
+ }
+ if ($mode eq 'answer') {
+ my $width = 1;
+ my $extrawidth = 2;
+ my @areas = @{ $Apache::response::foilgroup{"$name.area"} };
+ foreach my $area (@areas) {
+ if ($area=~/^rectangle:/) {
+ $x{"cgi.$id.OBJTYPE"}.='RECTANGLE:';
+ $i=$x{"cgi.$id.OBJCOUNT"}++;
+ my ($x1,$y1,$x2,$y2)=
+ ($area=~m/rectangle:\(([0-9]+),([0-9]+)\)\-\(([0-9]+),([0-9]+)\)/);
+ $x{"cgi.$id.OBJ$i"}=join(':',($x1,$y1,$x2,$y2,"FFFFFF",
+ ($width+$extrawidth)));
+ $x{"cgi.$id.OBJTYPE"}.='RECTANGLE:';
+ $i=$x{"cgi.$id.OBJCOUNT"}++;
+ $x{"cgi.$id.OBJ$i"}=join(':',($x1,$y1,$x2,$y2,"00FF00",$width));
+ } elsif ($area=~/^polygon:(.*)/) {
+ $x{"cgi.$id.OBJTYPE"}.='POLYGON:';
+ $i=$x{"cgi.$id.OBJCOUNT"}++;
+ $x{"cgi.$id.OBJ$i"}=join(':',("FFFFFF",($width+$extrawidth)));
+ $x{"cgi.$id.OBJEXTRA$i"}=$1;
+ $x{"cgi.$id.OBJTYPE"}.='POLYGON:';
+ $i=$x{"cgi.$id.OBJCOUNT"}++;
+ $x{"cgi.$id.OBJ$i"}=join(':',("00FF00",$width));
+ $x{"cgi.$id.OBJEXTRA$i"}=$1;
+ }
+ }
+ }
+ &Apache::lonnet::appenv(%x);
+ return $id;
+}
+
sub displayfoils {
my ($target,@whichopt) = @_;
my $result ='';
@@ -114,17 +189,26 @@ sub displayfoils {
if ($target eq 'tex') {$result.="\\vskip 0 mm \n";} else {$result.="
\n";}
my $image=$Apache::response::foilgroup{"$name.image"};
&Apache::lonxml::debug("image is $image");
+ if ( $target eq 'web' && $image !~ /^http:/ ) {
+ $image=&clean_up_image($image);
+ }
+ &Apache::lonxml::debug("image is $image");
if ( &Apache::response::show_answer() ) {
if ($target eq 'tex') {
$result.=$Apache::response::foilgroup{"$name.image"}."\\vskip 0 mm \n";
} else {
- $result.="
\n";
+ my $token=&prep_image($image,'answer',$name);
+ $result.="
\n";
}
} else {
if ($target eq 'tex') {
$result.=$Apache::response::foilgroup{"$name.image"}."\\vskip 0 mm \n";
} else {
- $result.="
\n";
+ my $id=$Apache::inputtags::response['-1'];
+ my $token=&prep_image($image);
+ my $temp=1;
+ $result.="
\n";
}
}
$temp++;
@@ -132,6 +216,26 @@ sub displayfoils {
return $result;
}
+sub clean_up_image {
+ my ($image)=@_;
+ if ($image =~ /\s*$max) { $count=$max }
&Apache::lonxml::debug("Count is $count from $max");
@@ -183,7 +296,7 @@ sub end_foilgroup {
if ($target eq 'web' || $target eq 'tex') {
$result=&displayfoils($target,@whichopt);
} elsif ($target eq 'grade') {
- if ( defined $ENV{'form.submitted'}) { &gradefoils(@whichopt); }
+ if ( defined $env{'form.submitted'}) { &gradefoils(@whichopt); }
} elsif ( $target eq 'analyze') {
&Apache::response::analyze_store_foilgroup(\@whichopt,
['text','image','area']);
@@ -191,6 +304,7 @@ sub end_foilgroup {
} elsif ($target eq 'edit') {
$result=&Apache::edit::end_table();
}
+ &Apache::response::poprandomnumber();
return $result;
}
@@ -229,19 +343,37 @@ sub insert_foil {
$Apache::imageresponse::curname='';
sub start_foil {
my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
+ my $result;
if ($target eq 'web' || $target eq 'grade' || $target eq 'tex' ||
$target eq 'analyze') {
my $name = &Apache::lonxml::get_param('name',$parstack,$safeeval);
- if ($name eq '') { $name=$Apache::lonxml::curdepth; }
+ if ($name eq "") {
+ &Apache::lonxml::warning("Foils without names exist. This can cause problems to malfunction.");
+ $name=$Apache::lonxml::curdepth;
+ }
+ if (defined($Apache::response::foilnames{$name})) {
+ &Apache::lonxml::error(&mt("Foil name [_1] appears more than once. Foil names need to be unique.",$name));
+ }
+ $Apache::response::foilnames{$name}++;
if ( $Apache::imageresponse::conceptgroup
- && !&Apache::response::showallfoils()) {
+ #&& !&Apache::response::showallfoils()
+ ) {
push(@{ $Apache::response::conceptgroup{'names'} }, $name);
} else {
push(@{ $Apache::response::foilgroup{'names'} }, $name);
}
$Apache::imageresponse::curname=$name;
- }
- return '';
+ } elsif ($target eq 'edit') {
+ $result = &Apache::edit::tag_start($target,$token);
+ $result .= &Apache::edit::text_arg('Name:','name',$token);
+ $result .= &Apache::edit::end_row().
+ &Apache::edit::start_spanning_row();
+ } elsif ($target eq 'modified') {
+ my $constructtag=&Apache::edit::get_new_args($token,$parstack,
+ $safeeval,'name');
+ if ($constructtag) { $result = &Apache::edit::rebuild_tag($token); }
+ }
+ return $result;;
}
sub end_foil {
@@ -264,9 +396,7 @@ sub start_text {
&Apache::edit::editfield($token->[1],$descr,'Text',60,2).
&Apache::edit::end_row();
} elsif ($target eq "modified") {
- my $descr=&Apache::lonxml::get_all_text('/text',$parser);
- $result=$token->[4].&Apache::edit::modifiedfield($token);
- &Apache::lonxml::debug($result);
+ $result=$token->[4].&Apache::edit::modifiedfield('/text',$parser);
}
return $result;
}
@@ -277,7 +407,8 @@ sub end_text {
if ($target eq 'web' || $target eq 'tex' || $target eq 'analyze') {
my $name = $Apache::imageresponse::curname;
if ( $Apache::imageresponse::conceptgroup
- && !&Apache::response::showallfoils() ) {
+ #&& !&Apache::response::showallfoils()
+ ) {
$Apache::response::conceptgroup{"$name.text"} = &Apache::lonxml::endredirection;
} else {
$Apache::response::foilgroup{"$name.text"} = &Apache::lonxml::endredirection;
@@ -304,9 +435,7 @@ sub start_image {
$result.=&Apache::edit::search(undef,'textnode').
&Apache::edit::end_row();
} elsif ($target eq "modified") {
- my $bgimg=&Apache::lonxml::get_all_text('/image',$parser);
- $result=$token->[4].&Apache::edit::modifiedfield($token);
- &Apache::lonxml::debug($result);
+ $result=$token->[4].&Apache::edit::modifiedfield('/image',$parser);
}
return $result;
}
@@ -316,48 +445,20 @@ sub end_image {
my $result;
my $name = $Apache::imageresponse::curname;
if ($target eq 'web') {
- my $image = &Apache::lonxml::endredirection;
+ my $image = &Apache::lonxml::endredirection();
&Apache::lonxml::debug("original image is $image");
- my $id=$Apache::inputtags::response['-1'];
- my $temp=1;
- my $x=$ENV{"form.HWVAL_$id:$temp.x"};
- my $y=$ENV{"form.HWVAL_$id:$temp.y"};
- if (defined ($x) && defined ($y)) {
- &Apache::lonxml::debug("x and y defined as $x,$y");
- my $currentImage = &Apache::randomlylabel::get_image('/home/httpd/html'.$image,1);
- if (! defined($currentImage)) {
- &Apache::lonnet::logthis('Unable to create image object for '.$image);
- return '';
- }
- my $red;
- if (!($red = $currentImage->colorResolve(255,0,0))) {
- $red = $currentImage->colorClosestHWB(255,0,0);
- }
- my $length = 6;
- $currentImage->line($x-$length,$y-$length,$x+$length,$y+$length,$red);
- $currentImage->line($x-$length,$y+$length,$x+$length,$y-$length,$red);
-
- my ($nameWOext) = ($image =~ /^.*\/(.*)\..*$/);
- &Apache::lonxml::debug("graph name $nameWOext");
- my $webImageName = "/prtspool/$ENV{'user.name'}_$ENV{'user.domain'}_".
- $nameWOext.'.png'; #needs to be more random or specific
- my $newImageName = '/home/httpd'.$webImageName;
-
- my $imgfh = Apache::File->new('>'.$newImageName);
- print $imgfh $currentImage->png;
- $image = $webImageName;
- }
- &Apache::lonxml::debug("out image is $image");
if ( $Apache::imageresponse::conceptgroup
- && !&Apache::response::showallfoils()) {
+ #&& !&Apache::response::showallfoils()
+ ) {
$Apache::response::conceptgroup{"$name.image"} = $image;
} else {
$Apache::response::foilgroup{"$name.image"} = $image;
}
} elsif ($target eq 'analyze') {
- my $image = &Apache::lonxml::endredirection;
+ my $image = &Apache::lonxml::endredirection();
if ( $Apache::imageresponse::conceptgroup
- && !&Apache::response::showallfoils()) {
+ #&& !&Apache::response::showallfoils()
+ ) {
$Apache::response::conceptgroup{"$name.image"} = $image;
} else {
$Apache::response::foilgroup{"$name.image"} = $image;
@@ -365,77 +466,31 @@ sub end_image {
} elsif ($target eq 'edit') {
$result=&Apache::edit::end_table();
} elsif ($target eq 'tex') {
- my $src = &Apache::lonxml::endredirection;
- $src=&Apache::lonnet::filelocation($Apache::lonxml::pwd[-1],$src);
- my $width_param = '';
- my $height_param = '';
- my $scaling = .3;
- my $image = Image::Magick->new;
- my $current_figure = $image->Read($src);
- $width_param = $image->Get('width') * $scaling;;
- $height_param = $image->Get('height') * $scaling;;
- undef $image;
- my $epssrc = $src;
- $epssrc =~ s/(\.gif|\.jpg)$/\.eps/i;
- if (not -e $epssrc) {
- my $localfile = $epssrc;
- $localfile =~ s/.*(\/res)/$1/;
- my $file;
- my $path;
- if ($localfile =~ m!(.*)/([^/]*)$!) {
- $file = $2;
- $path = $1.'/';
- }
- my $signal_eps = 0;
- my @content_directory = &Apache::lonnet::dirlist($path);
- for (my $iy=0;$iy<=$#content_directory;$iy++) {
- my @tempo_array = split(/&/,$content_directory[$iy]);
- $content_directory[$iy] = $tempo_array[0];
- if ($file eq $tempo_array[0]) {
- $signal_eps = 1;
- last;
- }
- }
- if ($signal_eps) {
- my $eps_file = &Apache::lonnet::getfile($localfile);
- } else {
- $localfile = $src;
- $localfile =~ s/.*(\/res)/$1/;
- my $as = &Apache::lonnet::getfile($src);
- }
- }
- my $file;
- my $path;
- if ($src =~ m!(.*)/([^/]*)$!) {
- $file = $2;
- $path = $1.'/';
- }
- my $newsrc = $src;
- $newsrc =~ s/(\.gif|\.jpg|\.jpeg)$/\.eps/i;
- $file=~s/(\.gif|\.jpg|\.jpeg)$/\.eps/i;
- #do we have any specified size of the picture?
- my $TeXwidth = &Apache::lonxml::get_param('TeXwidth',$parstack,$safeeval);
- my $TeXheight = &Apache::lonxml::get_param('TeXheight',$parstack,$safeeval);
- my $width = &Apache::lonxml::get_param('width',$parstack,$safeeval);
- if ($TeXwidth ne '') {
- $width_param = $TeXwidth;
- } elsif ($TeXheight ne '') {
- $width_param = $TeXheight/$height_param*$width_param;
- } elsif ($width ne '') {
- $width_param = $width*$scaling;
- }
- #where can we find the picture?
- if (-e $newsrc) {
- if ($path) {
- $Apache::response::foilgroup{"$name.image"} ='\vskip 0 mm \noindent\graphicspath{{'.$path.'}}\includegraphics[width='.$width_param.' mm]{'.$file.'} ';
- }
+ my $src = &Apache::lonxml::endredirection();
+
+ # There may be all sorts of whitespace on fore and aft:
+
+ $src =~ s/\s+$//s;
+ $src =~ s/^\s+//s;
+
+ #
+ # Gnuplot e.g. just generates the latex to put inplace.
+ #
+ my $graphinclude;
+ if ($src =~ /^%DYNAMICIMAGE/) {
+ # This is needed because the newline is not always passed -> tex.
+ # At present we don't care about the sizing info.
+
+ my ($commentline, $restofstuff) = split(/\n/, $src);
+ $graphinclude = $src;
+ $graphinclude =~ s/^$commentline//;
} else {
- my $temp_file;
- my $filename = "/home/httpd/prtspool/$ENV{'user.name'}_$ENV{'user.domain'}_printout.dat";
- $temp_file = Apache::File->new('>>'.$filename);
- print $temp_file "$src\n";
- $Apache::response::foilgroup{"$name.image"} ='\vskip 0 mm \graphicspath{{/home/httpd/prtspool/}}\includegraphics[width='.$width_param.' mm]{'.$file.'} ';
+ my ($path,$file) = &Apache::londefdef::get_eps_image($src);
+ my ($height_param,$width_param)=
+ &Apache::londefdef::image_size($src,0.3,$parstack,$safeeval);
+ $graphinclude = '\graphicspath{{'.$path.'}}\includegraphics[width='.$width_param.' mm]{'.$file.'}';
}
+ $Apache::response::foilgroup{"$name.image"} ='\vskip 0 mm \noindent '.$graphinclude;
}
return $result;
}
@@ -443,18 +498,18 @@ sub end_image {
sub start_rectangle {
my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
my $result='';
- if ($target eq 'web' || $target eq 'grade' || $target eq 'tex') {
+ if ($target eq 'web' || $target eq 'grade' || $target eq 'tex' ||
+ $target eq 'analyze') {
&Apache::lonxml::startredirection;
} elsif ($target eq 'edit') {
my $coords=&Apache::lonxml::get_all_text('/rectangle',$parser);
$result=&Apache::edit::tag_start($target,$token,'Rectangle').
&Apache::edit::editline($token->[1],$coords,'Coordinate Pairs',40).
- &Apache::edit::entercoordpair(undef,'textnode').
+ &Apache::edit::entercoord(undef,'textnode',undef,undef,'box').
&Apache::edit::end_row();
} elsif ($target eq "modified") {
- my $coords=&Apache::lonxml::get_all_text('/rectangle',$parser);
- $result=$token->[4].&Apache::edit::modifiedfield($token);
- &Apache::lonxml::debug($result);
+ &Apache::edit::deletecoorddata();
+ $result=$token->[4].&Apache::edit::modifiedfield('/rectangle',$parser);
}
return $result;
}
@@ -462,11 +517,7 @@ sub start_rectangle {
sub grade_rectangle {
my ($spec,$x,$y) = @_;
&Apache::lonxml::debug("Spec is $spec");
- $spec=~m/rectangle:\(([0-9]+),([0-9]+)\)\-\(([0-9]+),([0-9]+)\)/;
- my $x1=$1;
- my $y1=$2;
- my $x2=$3;
- my $y2=$4;
+ my ($x1,$y1,$x2,$y2)=($spec=~m/rectangle:\(([0-9]+),([0-9]+)\)\-\(([0-9]+),([0-9]+)\)/);
&Apache::lonxml::debug("Point $x1,$y1,$x2,$y2");
if ($x1 > $x2) { my $temp=$x1;$x1=$x2;$x2=$temp; }
if ($y1 > $y2) { my $temp=$y1;$y1=$y2;$y2=$temp; }
@@ -479,18 +530,102 @@ sub grade_rectangle {
sub end_rectangle {
my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
my $result;
- if ($target eq 'web' || $target eq 'grade' || $target eq 'tex') {
+ if ($target eq 'web' || $target eq 'grade' || $target eq 'tex' ||
+ $target eq 'analyze') {
my $name = $Apache::imageresponse::curname;
my $area = &Apache::lonxml::endredirection;
+ $area=~s/\s//g;
&Apache::lonxml::debug("out is $area for $name");
if ( $Apache::imageresponse::conceptgroup
- && !&Apache::response::showallfoils()) {
+ #&& !&Apache::response::showallfoils()
+ ) {
push @{ $Apache::response::conceptgroup{"$name.area"} },"rectangle:$area";
} else {
push @{ $Apache::response::foilgroup{"$name.area"} },"rectangle:$area";
}
} elsif ($target eq 'edit') {
$result=&Apache::edit::end_table();
+ }
+ return $result;
+}
+
+sub start_polygon {
+ my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
+ my $result='';
+ if ($target eq 'web' || $target eq 'grade' || $target eq 'tex' ||
+ $target eq 'analyze') {
+ &Apache::lonxml::startredirection;
+ } elsif ($target eq 'edit') {
+ my $coords=&Apache::lonxml::get_all_text('/polygon',$parser);
+ $result=&Apache::edit::tag_start($target,$token,'Polygon').
+ &Apache::edit::editline($token->[1],$coords,'Coordinate list',40).
+ &Apache::edit::entercoord(undef,'textnode',undef,undef,'polygon').
+ &Apache::edit::end_row();
+ } elsif ($target eq "modified") {
+ $result=$token->[4].&Apache::edit::modifiedfield('/polygon',$parser);
+ }
+ return $result;
+}
+
+sub grade_polygon {
+ my ($spec,$x,$y) = @_;
+ &Apache::lonxml::debug("Spec is $spec");
+ $spec=~s/^polygon://;
+ my @polygon;
+ foreach my $coord (split('-',$spec)) {
+ my ($x,$y)=($coord=~m/\(([0-9]+),([0-9]+)\)/);
+ &Apache::lonxml::debug("x $x y $y");
+ push @polygon, {'x'=>$x,'y'=>$y};
+ }
+ #make end point start point
+ push @polygon, $polygon[0];
+ # cribbed from
+ # http://geometryalgorithms.com/Archive/algorithm_0103/algorithm_0103.htm
+ my $crossing = 0; # the crossing number counter
+
+ # loop through all edges of the polygon
+ for (my $i=0; $i<$#polygon; $i++) { # edge from V[i] to V[i+1]
+ if ((($polygon[$i]->{'y'} <= $y)
+ && ($polygon[$i+1]->{'y'} > $y)) # an upward crossing
+ ||
+ (($polygon[$i]->{'y'} > $y)
+ && ($polygon[$i+1]->{'y'} <= $y))) { # a downward crossing
+ # compute the actual edge-ray intersect x-coordinate
+ my $vt = ($y - $polygon[$i]->{'y'})
+ / ($polygon[$i+1]->{'y'} - $polygon[$i]->{'y'});
+ if ($x < $polygon[$i]->{'x'} + $vt *
+ ($polygon[$i+1]->{'x'} - $polygon[$i]->{'x'})) { # x