Geography::NationalGrid::TW - Module to convert Taiwan Datum (TWD67/TM2, TWD97/TM2) to/from Latitude and Longitude


Geography-NationalGrid-TW documentation Contained in the Geography-NationalGrid-TW distribution.

Index


Code Index:

NAME

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Geography::NationalGrid::TW - Module to convert Taiwan Datum (TWD67/TM2, TWD97/TM2) to/from Latitude and Longitude

SYNOPSIS

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You should _create_ the object using the Geography::NationalGrid factory class, but you still need to know the object interface, given below.

	use Geography::NationalGrid;
	use Geography::NationalGrid::TW;
	# default TWD97
	my $point97 = new Geography::NationalGrid::TW(
		'Easting' => 302721.36,
		'Northing' => 2768851.3995,
	);
	printf("Point 97 is %f X and %f Y\n", $point97->easting, $point97->northing);
	printf("Point 97 is %f N and %f E\n", $point97->latitude, $point97->longitude);
	# transform to TWD67
	my $point67 = $point97->transform('TWD67');

DESCRIPTION

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Once created, the object allows you to retrieve information about the point that the object represents. For example you can create an object using easting / northing and the retrieve the latitude / longitude.

OPTIONS

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These are the options accepted in the constructor. You MUST provide either Latitude and Longitude, or Easting and Northing.

Projection

Default is 'TWD97', the "TAIWAN DATUM 97". Another projection recognized is 'TWD67', but only 'TWD97' is tested.

GridReference

There is no grid reference in Taiwan datum. Grid related functions are disabled.

Latitude

The latitude of the point. Actually should be the latitude using the spheroid related to the grid projection but for most purposes the difference is not too great. Specify the amount in any of these ways: as a decimal number of degrees, a reference to an array of three values (i.e. [ $degrees, $minutes, $seconds ]), or as a string of the form '52d 13m 12s'. North is positive degrees, south is negative degrees.

Longitude

As for latitude, except that east is positive degrees, west is negative degrees.

Easting

The number of metres east of the grid origin, using grid east.

Northing

The number of metres north of the grid origin, using grid north.

Userdata

The value of this option is a hash-reference, which you can fill with whatever you want - typical usage might be to specify Userdata = { Name => 'Dublin Observatory' }> but add whatever you want. Access using the data() method.

METHODS

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Most of these methods take no arguments. Some are inherited from Geography::NationalGrid

latitude

Returns the latitude of the point in a floating point number of degrees, north being positive.

longitude

As latitude, but east is positive degrees.

easting

How many metres east of the origin the point is. The precision of this value depends on how it was derived, but is truncated to an integer number of metres.

northing

How many metres north of the origin the point is. The precision of this value depends on how it was derived, but is truncated to an integer number of metres.

deg2string( DEGREES )

Given a floating point number of degrees, returns a string of the form '51d 38m 34.34s'. Intended for formatting, like: $self->deg2string( $self->latitude );

data( PARAMETER_NAME )

Returns the item from the Userdata hash whose key is the PARAMETER_NAME.

transform( PROJECTION )

Transform the point to the new projection, i.e. TWD67 to TWD97 or reverse. Return the point after transformation and keep original point intact. Uses the formula proposed by John Hsieh which is supposed to provide 2 meter accuracy conversions.

ACCURACY AND PRECISION

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The routines used in this code may not give you completely accurate results for various mathematical and theoretical reasons. In tests the results appeared to be correct, but it may be that under certain conditions the output could be highly inaccurate. It is likely that output accuracy decreases further from the datum, and behaviour is probably divergent outside the intended area of the grid.

This module has been coded in good faith but it may still get things wrong. Hence, it is recommended that this module is used for preliminary calculations only, and that it is NOT used under any circumstance where its lack of accuracy could cause any harm, loss or other problems of any kind. Beware!

REFERENCES

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http://wiki.osgeo.org/wiki/Taiwan_datums

John Hsieh - http://gis.thl.ncku.edu.tw/coordtrans/coordtrans.aspx

AUTHOR AND COPYRIGHT

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Geography-NationalGrid-TW documentation Contained in the Geography-NationalGrid-TW distribution.

package Geography::NationalGrid::TW;
use Exporter;
use strict;
use vars qw(@ISA $VERSION %ellipsoids %mercators);
($VERSION) = 0.08;

use constant DEFAULT_PROJECTION => 'TWD97';

use constant MIN_LATI => Geography::NationalGrid->deg2rad(21.5);
use constant MAX_LATI => Geography::NationalGrid->deg2rad(25.5);
use constant MIN_LONG => Geography::NationalGrid->deg2rad(118.75);
use constant MAX_LONG => Geography::NationalGrid->deg2rad(122.5);

@ISA = qw( Exporter Geography::NationalGrid );

%ellipsoids = (
	'int1967' => {
		'a' => 6378160.000,
		'b' => 6356774.719,
		'info' => 'Australian National',
	}, # same as grs67
	'int1924' => {
		'a' => 6378388.000,
		'b' => 6356911.946,
		'info' => 'ED50, UTM',
	}, # same as hayford1909
	'wgs84' => {
		'a' => 6378137.000,
		'b' => 6356752.3141,
		'info' => 'WGS84, ITRS, ETRS89',
	}, # same as grs80
);
$ellipsoids{'grs67'}  = $ellipsoids{'int1967'};
$ellipsoids{'grs80'}  = $ellipsoids{'wgs84'};
$ellipsoids{'hayford1909'}  = $ellipsoids{'int1924'};

%mercators = (
	'TWD67' => {
		'scalefactor' => 0.9999,
		'phio' => 0,
		'lambdao' => Geography::NationalGrid->deg2rad(121),
		'Eo' => 250000,
		'No' => 0,
		'ellipsoid' => 'int1967',
	},
	'TWD97' => {
		'scalefactor' => 0.9999,
		'phio' => 0,
		'lambdao' => Geography::NationalGrid->deg2rad(121),
		'Eo' => 250000,
		'No' => 0,
		'ellipsoid' => 'grs80',
	},
);

### PUBLIC INTERFACE

# new() does most of the work - we regularize the input to create a fully-populated object
sub new {
	my $class = shift;
	my %options = @_;

	unless ((exists $options{'Latitude'} && exists $options{'Longitude'}) ||
		(exists $options{'Easting'} && exists $options{'Northing'})
	) {
		die __PACKAGE__ . ": You must supply lat/long, or easting/northing";
	}

	my $self = bless({
		Userdata => $options{'Userdata'},
	}, $class);

	# keep constructor options
	delete $options{'Userdata'};
	while (my ($k, $v) = each %options) { $self->{'_constructor_'.$k} = $v; }

	$self->{'Projection'} = $options{'Projection'} || DEFAULT_PROJECTION;

	# gather information that will be needed in lat/long <-> east/north method
	my $mercatordata = $mercators{ $self->{'Projection'} } || die "Couldn't find Mercator projection data for $self->{'Projection'}";
	my $ellipsoiddata = $ellipsoids{ $mercatordata->{'ellipsoid'} } || die "Couldn't find ellipsoid data for $self->{'Projection'}";
	$self->{'MercatorData'} = $mercatordata;
	$self->{'EllipsoidData'} = $ellipsoiddata;

	$self->{'DefaultResolution'} = 0;

	my $flagTodo = 1;

	# if given lat/long, first make that into easting/northing
	if (exists $options{'Latitude'} && exists $options{'Longitude'}) {
		$self->{'Latitude'} = $self->deg2rad( $options{'Latitude'} );
		$self->{'Longitude'} = $self->deg2rad( $options{'Longitude'} );
		$self->_latlong2mercator;
		$flagTodo = 0;
	}

	# if got absolute northing and easting, convert that into a lat/long
	if ($flagTodo && exists $options{'Easting'} && exists $options{'Northing'}) {
		($self->{'Easting'}, $self->{'Northing'}) = ($options{'Easting'}, $options{'Northing'});
		$self->_mercator2latlong;
		$flagTodo = 0;
	}

	$self->_boundscheck;

	return $self;
}

### Main conversion methods (to transform lat/long to/from a transverse mercator projection) are inherited from the NationaGrid module

sub transform {
	my $self = shift;
	my $Projection = shift;
	return $self if $Projection eq $self->{'Projection'};
	my $a = 0.00001549;
	my $b = 0.000006521;
	my $c = 807.8;
	my $d = -248.6;
	my $e = $self->{'Easting'};
	my $n = $self->{'Northing'};
	my ($_e, $_n);
	if ($Projection eq 'TWD97') { # TWD67 -> TWD97
		$_e = $e + $c + $a * $e + $b * $n;
		$_n = $n + $d + $a * $n + $b * $e;
	} else { # TWD97 -> TWD67
		$_e = $e - $c - $a * $e - $b * $n;
		$_n = $n - $d - $a * $n - $b * $e;
	}
	return new Geography::NationalGrid::TW('Projection' => $Projection,
		'Easting' => $_e, 'Northing' => $_n);
}

### PRIVATE ROUTINES

sub _boundscheck {
	my $self = shift;

	if ($self->{'Longitude'} < MIN_LONG) { die "Point is out of the area covered by this module - too far east"; }
	if ($self->{'Longitude'} > MAX_LONG) { die "Point is out of the area covered by this module - too far west"; }
	if ($self->{'Latitude'} < MIN_LATI) { die "Point is out of the area covered by this module - too far south"; }
	if ($self->{'Latitude'} > MAX_LATI) { die "Point is out of the area covered by this module - too far north"; }
}

1;

__END__