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 CAD / Development / 7454
7453  |  7455
Subject: 
Re: Spheroid Generator (Perl) makes DAT
Newsgroups: 
lugnet.cad.dev
Date: 
Mon, 15 Jul 2002 02:37:19 GMT
Viewed: 
593 times
  
#!perl5

# Spheroid.pl

# This program generates 1/4 of a dome or other shape

# Written by Erik Olson

# You will need to edit this sample code to get what you want:

$s = SpheroidSection::Sample(1);

# Add your desired shapes to the Sample() function or do it here like so:
# $s = new SpheroidSection(1, 4, 4, 10); # makes a 4x4 sphere section

$wantldraw = 1;

if ($wantldraw)
{
    print $s->Ldraw(4);
    # (black is 0, blue is 1, green is 2, red is 4, grey is 7, yellow is 14,
    # white is 15)
    # sand green might be 378 (dithered)
}
else
{
    print $s->TextInstructions();
}

exit;


package SpheroidSection;

# Make a sample spheroid, your choices are 1 through 6
sub Sample
{
    my ($x) = @_;
    my ($s);

    if      ($x == 1)  {
        $s = new SpheroidSection(1, 8, 8, 20); # Sphere variation 1
    } elsif ($x == 2) {
        $s = new SpheroidSection(1, 8, 8, 10); # a squashed Sphere
    } elsif ($x == 3) {
        $s = new SpheroidSection(5, 8, 8, 20); # Cone variation 1
    } elsif ($x == 4) {
        $s = new SpheroidSection(5, 8, 8, 10); # low Cone
    } elsif ($x == 5) {
        $s = new SpheroidSection(9, 8, 8, 20); # Tent variation 1
    } elsif ($x == 6) {
        $s = new SpheroidSection(9, 8, 8, 10); # low tent
    } else {
        die "Sample object number $x not known, try 1 through 6\n";
    }
    return $s;
}

# For a good sphere, give height as 2.5 times width
# (Height is measured in plates)

sub new
{
    my ($that, $rule, $xradius, $yradius, $height) = @_;
    my $class = ref($that) || $that;
    my ($self) = {};
    bless $self, $class;

    $self->{rule} = $rule;
    $self->{xradius} = $xradius;
    $self->{yradius} = $yradius;
    $self->{height} = $height;

    $self->Generate();

    return $self;
}

# Calculate all the positions in steps[] that should be occupied by a plate
sub Generate
{
    my ($self) = @_;

    my ($grid, $x, $y, $z, $h);
    # steps indexed by z, y, x. 0,0,0 is innermost stud of spheroid section.
    my $steps = $self->{steps} = [];

    for ($z = 0; $z < $self->{height}; $z++)
    {
        $steps->[$z] = [];    # initialize array
        for ($y = 0; $y<$self->{yradius}; $y++)
        {
            $steps->[$z]->[$y] = [];    # initialize array
            for ($x = 0; $x<$self->{xradius}; $x++)
            {
                $steps->[$z]->[$y]->[$x] = 0;    # initialize cell

                # determine if point is inside, using stud center
                if ($self->InsideTest($self->{rule}, $x, $y, $z, $radius,
$radius, $height))
                {
                    $steps->[$z]->[$y]->[$x] = 1;
                }
            }
        }
    }
}

# Printable ASCII instructions
# Subroutine returns a big string
# "O" marks a piece
# "*" marks a piece from previous step for guidance
# "." is no piece
sub TextInstructions
{
    my ($self) = @_;
    my ($a, $b) = (0,0);
    my ($c);
    my ($text);
    # print step by step picture
    for ($z = 0; $z < $self->{height}; $z++)
    {
        $text .= sprintf( "Step %d\n",$z+1);
        for ($y = 0; $y<$self->{yradius}; $y++)
        {
            for ($x = 0; $x<$self->{xradius}; $x++)
            {
                $a = $self->{steps}->[$z]->[$y]->[$x];
                $b = $self->{steps}->[$z-1]->[$y]->[$x] unless $z==0;
                $c = $a ? "O" : $b ? "*" : ".";
                $text .= $c;
            }
            $text .= "\n";
        }
        $text .= "\n";
    }
    return $text;
}

# LDRAW instruction or model file using 1x1 plates, part 3024
# Subroutine returns a big string
sub Ldraw
{
    my ($self, $color) = @_;
    my ($a, $b) = (0,0);
    my ($c);
    my ($text);
    my ($imatrix) = "1 0 0 0 1 0 0 0 1";
    my ($part) = "3024.DAT";

    for ($z = 0; $z < $self->{height}; $z++)
    {
        $text .= sprintf( "0 STEP %d\n",$z+1);
        for ($y = 0; $y<$self->{yradius}; $y++)
        {
            for ($x = 0; $x<$self->{xradius}; $x++)
            {
                $a = $self->{steps}->[$z]->[$y]->[$x];
                if ($a)
                {
                    $text .= sprintf("1 $color %d %d %d $imatrix $part\n",
$x*20, -$z*8, $y*20);
                }
            }
        }
    }
    return $text;
}

# Various point-in-sphere rules selected by $rule parameter
#
# Rule 0 makes a spheroid
# Rule 4 makes a cone
# Rule 8 makes a "tentoid"

# The last few bits of the rule number are the stud inclusion rule
# +1 test center base of plate for inclusion
# +2 test center base of stud (top of plate) for inclusion
# +3 test center top of stud for inclusion
# +0 is the same as +1

sub InsideTest
{
    my ($self, $rule, $x, $y, $z) = @_;
    my ($v);
    # exponent functions:
    sub sq { return $_[0] * $_[0]; }
    sub hy { return $_[0] ^ 0.50; }

    my $zrule = ($rule & 0x3);
    my $mainrule = $rule - $zrule;

    my $zadd = [ 0, 0, 1, 1.64 ] -> [$zrule];

    # rule 0: spheroid
    if ($mainrule == 0)
    {
        $v = sq(($x+0.5)/$self->{xradius}) + sq(($y+0.5)/$self->{yradius}) +
sq(($z+$zadd)/$self->{height});
        return $v < 1.0;
    }
    # rule 4: cone
    elsif ($mainrule == 4)
    {
        $v = sq(($x+0.5)/$self->{xradius}) + sq(($y+0.5)/$self->{yradius});
        return $v < sq(1.0 - ($z+$zadd)/$self->{height});
    }
    # rule 8: tent
    elsif ($mainrule == 8)
    {
        $v = sq(($x+0.5)/$self->{xradius}) + sq(($y+0.5)/$self->{yradius});
        return $v < sq(1.0 - sqrt( ($z+$zadd)/$self->{height}) );
    }
    else { die "InsideTest rule $rule not a known rule"; }

}



Message is in Reply To:
  Spheroid Generator (Perl) makes DAT
 
Hi all, I've got a Perl program to generate spheres and other shapes in LDRAW format, or as crude ASCII instruction steps. I wrote this to assist in creating my 16x16 dome out of plates. The program is free. You will need to have beginner Perl (...) (22 years ago, 15-Jul-02, to lugnet.cad.dev)

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