/usr/games/xracer-mktrack is in xracer-tools 0.96.9.1-9.
This file is owned by root:root, with mode 0o755.
The actual contents of the file can be viewed below.
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# XRACER (C) 1999-2000 Richard W.M. Jones <rich@annexia.org> and other AUTHORS
#
# This program is free software; you can redistribute it and/or
# modify it under the terms of the GNU General Public License
# as published by the Free Software Foundation; either version 2
# of the License, or (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with this program; if not, write to the Free Software
# Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
#
# $Id: xracer-mktrack.pl,v 1.9 2000/01/01 15:51:41 rich Exp $
# You have created the basic track shape in Blender and saved it
# as a VideoScape file. This file defines the basic shape of the
# track. This basic shape defines the surfaces which exert their
# levitation effect on the craft. At this stage, we are NOT talking
# about what the track actually looks like, or any textures, etc.
# (Although in the common case, these two things can be the same).
# This script takes this information and builds the C file necessary
# for XRacer to work out what forces are exerted on the craft at
# each point on the track.
use strict;
use Getopt::Long;
use lib '../../XRacer/blib/lib'; # So you can run this without installing it.
use XRacer::Math;
# Read command line arguments.
my $nr_steps;
my $tubefilename;
my $coutputfilename;
my $verbose;
my $help;
GetOptions ("steps=i" => \$nr_steps,
"tubefile=s" => \$tubefilename,
"outputc=s" => \$coutputfilename,
"verbose" => \$verbose,
"help|?" => \$help);
if ($help)
{
print STDERR "$0 --steps STEPS [--outputc OUTPUTFILE] [--verbose] --tubefile TUBEFILE [INPUTFILE]\n";
print STDERR "where: STEPS is the number of vertices in each segment\n";
print STDERR " OUTPUTFILE is the C file to write\n";
print STDERR " TUBEFILE is the tube file generated by mktube prog\n";
print STDERR " INPUTFILE is the input VideoScape file\n";
exit 1;
}
die "--steps argument is required" if !$nr_steps;
die "--tubefile argument is required" if !$tubefilename;
# Read the segments from the tubefile.
my $segmentsref = do $tubefilename
or die "$tubefilename: $!";
my @segments = @$segmentsref;
print "number of segments in tube file: ", scalar (@segments), "\n"
if $verbose;
# Read input lines.
my $state = "expect 3DG1";
my $vcount;
my $nr_segments;
my @vertices = ();
my @faces = ();
while (<>)
{
s/[\n\r]+$//g; # Removes trailing CR, LF.
if ($state eq "expect 3DG1")
{
die "expecting first line to be 3DG1" if $_ ne "3DG1";
$state = "expect vcount";
}
elsif ($state eq "expect vcount")
{
die "expecting vertex count" if $_ !~ m/^[1-9][0-9]*$/;
$vcount = $_;
# Check that steps divides number of vertices.
die "number of steps must divide number of vertices ($vcount)"
if ($vcount / $nr_steps != int ($vcount / $nr_steps));
$nr_segments = $vcount / $nr_steps;
die "number of segments found does not match tube file"
if $nr_segments != @segments;
$state = "reading vertices";
}
elsif ($state eq "reading vertices")
{
my @vs = split /[ \t]+/, $_;
push @vertices, \@vs;
$vcount--;
$state = "reading faces" if $vcount == 0;
}
elsif ($state eq "reading faces")
{
my @fs = split /[ \t]+/, $_;
die "oops - expecting only four-sided faces"
if $fs[0] != 4;
push @faces, { 'vertices' => [ $fs[1], $fs[2], $fs[3], $fs[4] ] };
}
}
# Print a summary of the file.
print "number of vertices: ", scalar (@vertices), "\n" if $verbose;
print "number of segments: $nr_segments\n" if $verbose;
print "number of faces: ", scalar (@faces), "\n" if $verbose;
# For convenience, number each face and also convert it to
# a set of plane coefficients.
for (my $i = 0; $i < @faces; ++$i)
{
$faces[$i]->{n} = $i;
$faces[$i]->{faceplane}
= plane_coefficients ($vertices[$faces[$i]->{vertices}->[0]],
$vertices[$faces[$i]->{vertices}->[1]],
$vertices[$faces[$i]->{vertices}->[2]]);
}
# Map faces into segments.
foreach (@segments) { $_->{faces} = [] };
my $face;
foreach $face (@faces)
{
# Map vertex numbers to segment numbers.
my @sns = map { int ($_ / $nr_steps) } @{$face->{vertices}};
#print "segments: ", join (" ", @sns), "\n" if $verbose;
# Take the minimum and maximum segment numbers.
my $min_seg = $nr_segments+1;
foreach (@sns) { $min_seg = $_ if $_ < $min_seg }
my $max_seg = -1;
foreach (@sns) { $max_seg = $_ if $_ > $max_seg }
# The minimum segment number must be max segment number - 1 (but
# take into account the wrap-around case ...)
my $segnum;
if ($min_seg == $max_seg) # Equal is OK too.
{
$segnum = $min_seg;
}
elsif ($min_seg == $max_seg-1)
{
$segnum = $min_seg;
}
elsif ($min_seg == 0 && $max_seg == $nr_segments-1) # wraparound case
{
$segnum = $nr_segments-1;
}
else
{
die "oops - track face covers more than 1 segment";
}
#print "putting it into segment: $segnum\n" if $verbose;
# Put the face into the segment.
my $facesref = $segments[$segnum]->{faces};
push @$facesref, $face;
}
# Examine each face in turn and create the list of planes.
foreach $face (@faces)
{
# Get the four vertices from the face.
my $v0 = $vertices[$face->{vertices}->[0]];
my $v1 = $vertices[$face->{vertices}->[1]];
my $v2 = $vertices[$face->{vertices}->[2]];
my $v3 = $vertices[$face->{vertices}->[3]];
# Construct the midpoint of the face (point MP in diagram).
my $mp = midpoint ($v0, $v1, $v2, $v3);
# Construct a plane from the face.
my $faceplane = plane_coefficients ($v2, $v1, $v0);
# Construct a unit normal vector to the face (vector MQ-MP in diagram).
my $n = unit_normal ($faceplane);
# Construct midpoint of plane one unit normal from face (point MQ).
my $mq = sum_vectors ($mp, $n);
# Construct points V4, ..., V7 (see diagram).
my $v4 = sum_vectors ($v0, $n);
my $v5 = sum_vectors ($v1, $n);
my $v6 = sum_vectors ($v2, $n);
my $v7 = sum_vectors ($v3, $n);
# Points V8, ..., V11 are just points V4, ..., V7 extended
# outwards by a small percentage. So, for example,
# V8 = MQ + (V4 - MQ) * (expansion_percentage / 100)
# where expansion_percentage is, perhaps, 110.
# XXX Constant!
my $expansion = 1.1;
my $v8 = sum_vectors ($mq,
multiply_scalar_vector ($expansion,
subtract_vectors ($v4, $mq)));
my $v9 = sum_vectors ($mq,
multiply_scalar_vector ($expansion,
subtract_vectors ($v5, $mq)));
my $v10 = sum_vectors ($mq,
multiply_scalar_vector ($expansion,
subtract_vectors ($v6, $mq)));
my $v11 = sum_vectors ($mq,
multiply_scalar_vector ($expansion,
subtract_vectors ($v7, $mq)));
if ($verbose)
{
print "face: ", cinitializer ($v0, $v1, $v2, $v3), "\n";
print "inner: ", cinitializer ($v4, $v5, $v6, $v7), "\n";
print "outer: ", cinitializer ($v8, $v9, $v10, $v11), "\n";
}
# Now we can construct the planes for real (see right
# hand side of diagram). For example, one plane is
# V0, V1, V9, V8
my $plane0 = plane_coefficients ($v8, $v0, $v1);
my $plane1 = plane_coefficients ($v9, $v1, $v2);
my $plane2 = plane_coefficients ($v10, $v2, $v3);
my $plane3 = plane_coefficients ($v11, $v3, $v0);
# Assertion: Check that the midpoints $mp and $mq are both
# inside all of the planes. This is just a sanity check
# on the above calculations.
die "assertion failed: midpoints not inside planes"
if distance_point_to_plane ($plane0, $mp) < 0 ||
distance_point_to_plane ($plane0, $mq) < 0 ||
distance_point_to_plane ($plane1, $mp) < 0 ||
distance_point_to_plane ($plane1, $mq) < 0 ||
distance_point_to_plane ($plane2, $mp) < 0 ||
distance_point_to_plane ($plane2, $mq) < 0 ||
distance_point_to_plane ($plane3, $mp) < 0 ||
distance_point_to_plane ($plane3, $mq) < 0;
# Store these planes in the face description.
$face->{planes} = [ $plane0, $plane1, $plane2, $plane3 ];
}
# Save what we have to the C output file.
if ($coutputfilename)
{
open C, ">$coutputfilename"
or die "$coutputfilename: $!";
print C "/* This file describes the shape of the track itself.\n * It is automatically generated.\n */\n\n#include \"common.h\"\n\n";
# Save a list of vertices.
print C "int nr_face_vertices = ", scalar (@vertices), ";\n";
print C "GLfloat face_vertices[][3] = ",
cinitializer (@vertices), ";\n";
# Construct the list of faces.
print C "int nr_faces = ", scalar (@faces), ";\n";
print C "struct xrFace faces[] = {\n";
print C join (",\n",
map ({
my $faceplane = $_->{faceplane};
my $planes = $_->{planes};
my $vertices = $_->{vertices};
"{ " . cinitializer (@$faceplane) . ", " .
cinitializer (@$planes) . ", " .
cinitializer (@$vertices) . " }"
} @faces));
print C "};\n";
# Construct the mapping of segments onto faces.
for (my $i = 0; $i < @segments; ++$i)
{
print C "static int _faces$i [] = ",
cinitializer (map { $_->{n} } @{$segments[$i]->{faces}}), ";\n";
}
print C "struct xrSegmentFaces segment_to_faces[] = {\n";
my $i = 0;
print C join (",\n",
map ({
my $faces = $_->{faces};
my $nr_faces = @$faces;
"{ " . $nr_faces . ", _faces" . $i++ . " }"
} @segments));
print C "};\n";
print C "/* End of file. */\n";
close C;
}
exit 0;
#----------------------------------------------------------------------
# This small helper function takes a list of either numbers of
# array refs, and returns an equivalent C string for initializing
# a C multi-dimensional array or structure.
sub cinitializer
{
return "{ " . join (", ",
map ({ ref ($_) eq 'ARRAY' ? cinitializer (@$_) : $_ }
@_)) . " }";
}
#----------------------------------------------------------------------
sub is_cbc
{
my $plane0 = shift;
my $plane1 = shift;
my $cylinder = shift;
# Calculate line of intersection of the two planes.
my $intersection = intersection_of_two_planes ($plane0,
$plane1);
return line_intersects_cylinder ($intersection, $cylinder);
}
# Return true if $plane1 is inside $plane0. Both planes are
# CBC-related.
#
# Since the planes are CBC-related, we know that they do
# not intersect at any points within the cylinder. Therefore
# we can simply pick any point on $plane1 which is inside
# the cylinder and test that point for insidedness with
# respect to $plane0. The problem is to find a point inside
# the cylinder on $plane1.
sub is_inside
{
my $plane0 = shift;
my $plane1 = shift;
my $cylinder = shift;
# XXXXXXXXXXXXXXXXXXX
}
# Build a decision tree, recursively. This function takes the
# following arguments:
# $current_depth
# $max_depthref (reference to $max_depth variable)
# $nr_nodesref (reference to $nr_nodes variable)
# $planesref (reference to list of planes left -- DO NOT CHANGE THIS!)
# $insideref (references to inside planes -- DO NOT CHANGE THIS!)
# $cylinder (bounding cylinder)
# It returns a tree.
sub build_decision_tree
{
my $current_depth = shift;
my $max_depthref = shift;
my $nr_nodesref = shift;
my $planesref = shift;
my $insideref = shift;
my $cylinder = shift;
# Update global $max_depth variable.
$$max_depthref = $current_depth if $$max_depthref < $current_depth;
# Update global $nr_nodes variable.
$$nr_nodesref++;
my %node = ();
# Base case: no planes left: build the list of faces now.
if (@$planesref == 0)
{
$node{type} = "base";
# Find out which faces are fully inside (all four planes inside).
my %inside_count = ();
my @faces_inside = ();
foreach (@$insideref)
{
if (exists $inside_count{$_->{face}})
{
$inside_count{$_->{face}}++;
}
else
{
$inside_count{$_->{face}} = 0;
}
}
foreach (keys %inside_count)
{
if ($inside_count{$_} == 4)
{
push @faces_inside, $_;
}
elsif ($inside_count{$_} > 4)
{
die "oops: face $_ has inside_count == ",
$inside_count{$_};
}
}
# Construct the base node.
$node{faces} = \@faces_inside;
print "constructing base node, faces == { ",
join (", ", @faces_inside), " }\n" if $verbose;
}
# Recursive case: pick a plane and build an interior node.
else
{
$node{type} = "interior";
# Pick a plane at random. Well, OK, pick the first plane.
my $plane = $planesref->[0];
# Here we build up:
# (1) a list of CBC-related planes inside $plane.
# (2) a list of CBC-related planes outside $plane.
# (3) a list of non-CBC-related planes.
my @cbc_related_inside = ();
my @cbc_related_outside = ();
my @not_cbc_related = ();
for (my $i = 1; $i < @$planesref; $i++)
{
if (is_cbc ($plane->{plane}, $planesref->[$i]->{plane},
$cylinder))
{
if (is_inside ($plane->{plane}, $planesref->[$i]->{plane},
$cylinder))
{
push @cbc_related_inside, $planesref->[$i];
}
else
{
push @cbc_related_outside, $planesref->[$i];
}
}
else
{
push @not_cbc_related, $planesref->[$i];
}
}
# Build the inside tree.
my @remaining_planes = ();
push @remaining_planes, @not_cbc_related;
my @inside_planes = ();
push @inside_planes, @$insideref, @cbc_related_inside;
my $inside_tree = build_decision_tree ($current_depth+1,
$max_depthref,
\@remaining_planes,
\@inside_planes,
$cylinder);
# Build the outside tree.
@remaining_planes = ();
push @remaining_planes, @not_cbc_related, @cbc_related_outside;
@inside_planes = ();
push @inside_planes, @$insideref;
my $outside_tree = build_decision_tree ($current_depth+1,
$max_depthref,
\@remaining_planes,
\@inside_planes,
$cylinder);
$node{inside} = $inside_tree;
$node{outside} = $outside_tree;
}
return \%node;
}
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