Geo-Distance

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lib/Geo/Distance.pm  view on Meta::CPAN

package Geo::Distance;
use 5.008001;
use strict;
use warnings;
our $VERSION = '0.25';

use GIS::Distance;
use GIS::Distance::Constants qw( :all );
use Carp qw( croak );
use Const::Fast;

const our %GEO_TO_GIS_FORMULA_MAP => (qw(
    alt   ALT
    cos   Cosine
    gcd   GreatCircle
    hsin  Haversine
    mt    MathTrig
    null  Null
    polar Polar
    tv    Vincenty
));

const our @FORMULAS => (keys %GEO_TO_GIS_FORMULA_MAP);

sub new {
    my $class = shift;
    my $self = bless {}, $class;
    my %args = @_;

    $self->{formula} = 'hsin';
    $self->{units} = {};
    if(!$args{no_units}){
        $self->reg_unit( $KILOMETER_RHO, 'kilometer' );
        $self->reg_unit( 1000, 'meter', => 'kilometer' );
        $self->reg_unit( 100, 'centimeter' => 'meter' );
        $self->reg_unit( 10, 'millimeter' => 'centimeter' );

        $self->reg_unit( 'kilometre' => 'kilometer' );
        $self->reg_unit( 'metre' => 'meter' );
        $self->reg_unit( 'centimetre' => 'centimeter' );
        $self->reg_unit( 'millimetre' => 'millimeter' );

        $self->reg_unit( 'mile' => 1609.344, 'meter' );
        $self->reg_unit( 'nautical mile' => 1852, 'meter' );
        $self->reg_unit( 'yard' => 0.9144, 'meter' );
        $self->reg_unit( 3, 'foot' => 'yard' );
        $self->reg_unit( 12, 'inch' => 'foot' );
        $self->reg_unit( 'light second' => 299792458, 'meter' );

        $self->reg_unit( 'poppy seed' => 2.11, 'millimeter' );
        $self->reg_unit( 'barleycorn' => 8.467, 'millimeter' );
        $self->reg_unit( 'rod' => 5.0292, 'meter' );
        $self->reg_unit( 'pole' => 'rod' );
        $self->reg_unit( 'perch' => 'rod' );
        $self->reg_unit( 'chain' => 20.1168, 'meter' );
        $self->reg_unit( 'furlong' => 201.168, 'meter' );
        $self->reg_unit( 'league' => 4.828032, 'kilometer' );
        $self->reg_unit( 1.8288, 'fathom' => 'meter' );
    }

    return $self;
}

sub formula {
    my $self = shift;

    return $self->{formula} if !$_[0];
    my $formula = shift;

    my $gis_formula = $GEO_TO_GIS_FORMULA_MAP{ $formula };

    croak(
        'Unknown formula (available formulas are ',
        join(', ', sort @FORMULAS),
        ')',
    ) if !$gis_formula;

    $self->{formula} = $formula;
    $self->{gis_formula} = $gis_formula;

    return $formula;
}

sub distance {
    my ($self, $unit, $lon1, $lat1, $lon2, $lat2) = @_;

    my $unit_rho = $self->{units}->{$unit};
    croak('Unkown unit type "' . $unit . '"') if !$unit_rho;

    my $gis = GIS::Distance->new( $self->{gis_formula} );

    # Reverse lon/lat to lat/lon, the way GIS::Distance wants it.
    my $km = $gis->{code}->( $lat1, $lon1, $lat2, $lon2 );

    return $km * ($unit_rho / $KILOMETER_RHO);
}

use Math::Trig qw( acos asin atan deg2rad great_circle_distance pi tan );

sub old_distance {
    my($self,$unit,$lon1,$lat1,$lon2,$lat2) = @_;
    croak('Unkown unit type "'.$unit.'"') unless($unit = $self->{units}->{$unit});

    return 0 if $self->{formula} eq 'null';
    return 0 if $self->{formula} eq 'alt';

    if($self->{formula} eq 'mt'){
        return great_circle_distance(
            deg2rad($lon1),
            deg2rad(90 - $lat1),
            deg2rad($lon2),
            deg2rad(90 - $lat2),
            $unit
        );
    }

    $lon1 = deg2rad($lon1); $lat1 = deg2rad($lat1);
    $lon2 = deg2rad($lon2); $lat2 = deg2rad($lat2);
    my $c;
    if($self->{formula} eq 'cos'){
        my $a = sin($lat1) * sin($lat2);
        my $b = cos($lat1) * cos($lat2) * cos($lon2 - $lon1);
        $c = acos($a + $b);
    }
    elsif($self->{formula} eq 'hsin'){
        my $dlon = $lon2 - $lon1;
        my $dlat = $lat2 - $lat1;
        my $a = (sin($dlat/2)) ** 2 + cos($lat1) * cos($lat2) * (sin($dlon/2)) ** 2;
        $c = 2 * atan2(sqrt($a), sqrt(abs(1-$a)));
    }
    elsif($self->{formula} eq 'polar'){
        my $a = pi/2 - $lat1;
        my $b = pi/2 - $lat2;
        $c = sqrt( $a ** 2 + $b ** 2 - 2 * $a * $b * cos($lon2 - $lon1) );
    }
    elsif($self->{formula} eq 'gcd'){
        $c = 2*asin( sqrt(
            ( sin(($lat1-$lat2)/2) )**2 +
            cos($lat1) * cos($lat2) *
            ( sin(($lon1-$lon2)/2) )**2
        ) );

        # Eric Samuelson recommended this formula.
        # http://forums.devshed.com/t54655/sc3d021a264676b9b440ea7cbe1f775a1.html
        # http://williams.best.vwh.net/avform.htm
        # It seems to produce the same results at the hsin formula, so...

        #my $dlon = $lon2 - $lon1;
        #my $dlat = $lat2 - $lat1;
        #my $a = (sin($dlat / 2)) ** 2
        #    + cos($lat1) * cos($lat2) * (sin($dlon / 2)) ** 2;
        #$c = 2 * atan2(sqrt($a), sqrt(1 - $a));
    }
    elsif($self->{formula} eq 'tv'){
        my($a,$b,$f) = (6378137,6356752.3142,1/298.257223563);
        my $l = $lon2 - $lon1;
        my $u1 = atan((1-$f) * tan($lat1));
        my $u2 = atan((1-$f) * tan($lat2));
        my $sin_u1 = sin($u1); my $cos_u1 = cos($u1);
        my $sin_u2 = sin($u2); my $cos_u2 = cos($u2);
        my $lambda = $l;
        my $lambda_pi = 2 * pi;
        my $iter_limit = 20;
        my($cos_sq_alpha,$sin_sigma,$cos2sigma_m,$cos_sigma,$sigma);
        while( abs($lambda-$lambda_pi) > 1e-12 && --$iter_limit>0 ){
            my $sin_lambda = sin($lambda); my $cos_lambda = cos($lambda);
            $sin_sigma = sqrt(($cos_u2*$sin_lambda) * ($cos_u2*$sin_lambda) +
                ($cos_u1*$sin_u2-$sin_u1*$cos_u2*$cos_lambda) * ($cos_u1*$sin_u2-$sin_u1*$cos_u2*$cos_lambda));
            $cos_sigma = $sin_u1*$sin_u2 + $cos_u1*$cos_u2*$cos_lambda;
            $sigma = atan2($sin_sigma, $cos_sigma);
            my $alpha = asin($cos_u1 * $cos_u2 * $sin_lambda / $sin_sigma);
            $cos_sq_alpha = cos($alpha) * cos($alpha);
            $cos2sigma_m = $cos_sigma - 2*$sin_u1*$sin_u2/$cos_sq_alpha;
            my $cc = $f/16*$cos_sq_alpha*(4+$f*(4-3*$cos_sq_alpha));
            $lambda_pi = $lambda;
            $lambda = $l + (1-$cc) * $f * sin($alpha) *
                ($sigma + $cc*$sin_sigma*($cos2sigma_m+$cc*$cos_sigma*(-1+2*$cos2sigma_m*$cos2sigma_m)));
        }
        undef if( $iter_limit==0 );
        my $usq = $cos_sq_alpha*($a*$a-$b*$b)/($b*$b);
        my $aa = 1 + $usq/16384*(4096+$usq*(-768+$usq*(320-175*$usq)));
        my $bb = $usq/1024 * (256+$usq*(-128+$usq*(74-47*$usq)));
        my $delta_sigma = $bb*$sin_sigma*($cos2sigma_m+$bb/4*($cos_sigma*(-1+2*$cos2sigma_m*$cos2sigma_m)-
            $bb/6*$cos2sigma_m*(-3+4*$sin_sigma*$sin_sigma)*(-3+4*$cos2sigma_m*$cos2sigma_m)));
        $c = ( $b*$aa*($sigma-$delta_sigma) ) / $self->{units}->{meter};
    }
    else{
        croak('Unkown distance formula "'.$self->{formula}.'"');
    }

    return $unit * $c;
}

sub closest {
    my $self  = shift;
    my %args = @_;

    # Set defaults and prepare.
    my $dbh = $args{dbh} || croak('You must supply a database handle');
    $dbh->isa('DBI::db') || croak('The dbh must be a DBI database handle');
    my $table = $args{table} || croak('You must supply a table name');
    my $lon = $args{lon} || croak('You must supply a longitude');
    my $lat = $args{lat} || croak('You must supply a latitude');
    my $distance = $args{distance} || croak('You must supply a distance');
    my $unit = $args{unit} || croak('You must specify a unit type');
    my $unit_size = $self->{units}->{$unit} || croak('This unit type is not known');
    my $degrees = $distance / ( $DEG_RATIO * $unit_size );
    my $lon_field = $args{lon_field} || 'lon';
    my $lat_field = $args{lat_field} || 'lat';
    my $fields = $args{fields} || [];

    unshift @$fields, $lon_field, $lat_field;
    $fields = join( ',', @$fields );
    my $count = $args{count} || 0;
    my $sort = $args{sort} || ( $count ? 1 : 0 );
    my $where = qq{$lon_field >= ? AND $lat_field >= ? AND $lon_field <= ? AND $lat_field <= ?};
    $where .= ( $args{where} ? " AND ($args{where})" : '' );

    my @bind = (
        $lon-$degrees, $lat-$degrees,
        $lon+$degrees, $lat+$degrees,
        ( $args{bind} ? @{$args{bind}} : () )
    );

    # Retrieve locations.
    my $sth = $dbh->prepare(qq{
        SELECT $fields 
        FROM $table
        WHERE $where
    });
    $sth->execute( @bind );
    my $locations = [];
    while(my $location = $sth->fetchrow_hashref){
        push @$locations, $location;
    }

    # Calculate distances.
    my $closest = [];
    foreach my $location (@$locations){
        $location->{distance} = $self->distance(
            $unit, $lon, $lat, 
            $location->{$lon_field}, 
            $location->{$lat_field}
        );
        if( $location->{distance} <= $distance ){
            push @$closest, $location;
        }
    }
    $locations = $closest;

    # Sort.
    if( $sort ){
        @$locations = sort { $a->{distance} <=> $b->{distance} } @$locations;
    }

    # Split for count.
    if( $count and $count < @$locations ){
        splice @$locations, $count;
    }

    return $locations;
}

sub reg_unit {
    my $self = shift;
    my $units = $self->{units};
    my($count1,$key1,$count2,$key2);
    $count1 = shift;
    if($count1=~/[^\.0-9]/ or !@_){ $key1=$count1; $count1=1; }
    else{ $key1 = shift; }
    if(!@_){
        $units->{$key1} = $count1;
    }else{
        $count2 = shift;
        if($count2=~/[^\.0-9]/ or !@_){ $key2=$count2; $count2=1; }
        else{ $key2 = shift; }
        ($key1,$key2) = ($key2,$key1) if( defined $units->{$key1} );
        $units->{$key1} = ($units->{$key2}*$count1) / $count2;
    }
}

1;
__END__

=encoding utf8

=head1 NAME

Geo::Distance - Calculate distances and closest locations. (DEPRECATED)

=head1 SYNOPSIS

    use Geo::Distance;
    
    my $geo = new Geo::Distance;
    $geo->formula('hsin');
    
    $geo->reg_unit( 'toad_hop', 200120 );
    $geo->reg_unit( 'frog_hop' => 6 => 'toad_hop' );
    
    my $distance = $geo->distance( 'unit_type', $lon1,$lat1 => $lon2,$lat2 );
    
    my $locations = $geo->closest(
        dbh => $dbh,
        table => $table,
        lon => $lon,
        lat => $lat,
        unit => $unit_type,
        distance => $dist_in_unit
    );

=head1 DESCRIPTION

This perl library aims to provide as many tools to make it as simple as possible to calculate
distances between geographic points, and anything that can be derived from that.  Currently
there is support for finding the closest locations within a specified distance, to find the
closest number of points to a specified point, and to do basic point-to-point distance
calculations.

=head1 DEPRECATED

This module has been gutted and is now a wrapper around L<GIS::Distance>, please
use that module instead.

When switching from this module to L<GIS::Distance> make sure you reverse the
coordinates when passing them to L<GIS::Distance/distance>.  GIS::Distance takes
lat/lon pairs while Geo::Distance takes lon/lat pairs.

=head1 ARGUMENTS

=head2 no_units

Set this to disable the loading of the default units as described in L</UNITS>.

=head1 ACCESSORS

=head2 formula

    if ($geo->formula() eq 'hsin') { ... }
    $geo->formula('cos');

Set and get the formula that is currently being used to calculate distances.
See the available L</FORMULAS>.

C<hsin> is the default.

=head1 METHODS

=head2 distance

    my $distance = $geo->distance( 'unit_type', $lon1,$lat1 => $lon2,$lat2 );

Calculates the distance between two lon/lat points.

=head2 closest

    my $locations = $geo->closest(
        dbh => $dbh,
        table => $table,
        lon => $lon,
        lat => $lat,
        unit => $unit_type,
        distance => $dist_in_unit
    );

This method finds the closest locations within a certain distance and returns an 
array reference with a hash for each location matched.

The closest method requires the following arguments:

    dbh - a DBI database handle
    table - a table within dbh that contains the locations to search
    lon - the longitude of the center point
    lat - the latitude of the center point
    unit - the unit of measurement to use, such as "meter"
    distance - the distance, in units, from the center point to find locations

The following arguments are optional:

    lon_field - the name of the field in the table that contains the longitude, defaults to "lon"
    lat_field - the name of the field in the table that contains the latitude, defaults to "lat"
    fields - an array reference of extra field names that you would like returned with each location
    where - additional rules for the where clause of the sql
    bind - an array reference of bind variables to go with the placeholders in where
    sort - whether to sort the locations by their distance, making the closest location the first returned
    count - return at most these number of locations (implies sort => 1)

This method uses some very simplistic calculations to SQL select out of the dbh.  This 
means that the SQL should work fine on almost any database (only tested on MySQL and SQLite so far) and 
this also means that it is fast.  Once this sub set of locations has been retrieved 
then more precise calculations are made to narrow down the result set.  Remember, though, that 
the farther out your distance is, and the more locations in the table, the slower your searches will be.

=head2 reg_unit

    $geo->reg_unit( $radius, $key );
    $geo->reg_unit( $key1 => $key2 );
    $geo->reg_unit( $count1, $key1 => $key2 );
    $geo->reg_unit( $key1 => $count2, $key2 );
    $geo->reg_unit( $count1, $key1 => $count2, $key2 );

This method is used to create custom unit types.  There are several ways of calling it,



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