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package geo::ecef; |
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=head1 NAME |
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geo::ecef - Functions for calculating ecef coordinates from lla |
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=head1 SYNOPSIS |
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10
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use geo::ecef; |
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11
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($lat,$lon,height)=(60,45,0); # Decimal degrees and height in meters |
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$x=X($lat,$lon,height); |
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$y=Y($lat,$lon,height); |
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$z=Z($lat,$lon,height); |
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15
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16
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# proj4 output |
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@p4=split/\s/,'30d44\'15.43"N 55d16\'12.33"E'; |
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$lat=p2dd($p4[0]); |
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$lon=p2dd($p4[1]); |
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=head1 DESCRIPTION |
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25
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geo::ecef contains functions for calculating the X,Y and Z coordinates in the |
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26
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ecef (earth centered earth fixed) coordinate system from latitude, longitude |
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and height information. The wgs84 ellepsoide is used as a basis for the |
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calculation. |
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30
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In addition, geo::ecef contains an utilty function to read output from the |
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31
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proj4 projection utility |
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33
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The formulaes were found at http://www.u-blox.ch. |
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35
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=head2 Methods |
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37
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38
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=cut |
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40
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41
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42
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4
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101016
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use strict; |
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11
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201
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43
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our $VERSION='1.0.0'; |
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4
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21
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use Exporter; |
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4
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6
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171
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45
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4
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4
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3987
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use Math::Big qw/sin cos pi/; |
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4
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335298
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4
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339
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46
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4
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4
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45
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use Math::BigFloat; |
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4
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10
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4
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20
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47
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#Math::BigFloat->precision(20); |
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48
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# This causes the checking modules to fail, why? |
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49
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our @ISA = qw/ Exporter /; |
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50
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our @EXPORT = qw / X Y Z p2dd/; |
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51
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our @EXPORTOK = qw /$A $B/; |
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52
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4
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4
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2549
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use Carp; |
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4
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8
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4
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282
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53
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4
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23
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use warnings; |
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7
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4
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3156
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54
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my($PI,$F,$E,$E2); |
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55
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$PI=pi(20); |
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56
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# WGS84: |
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57
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our($A,$B); |
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58
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our($ellps)="WGS84"; |
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59
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if ($ellps eq "WGS84"){ |
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60
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$A =new Math::BigFloat '6378137.00000'; |
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61
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$B =new Math::BigFloat '6356752.31424518'; |
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62
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$F =new Math::BigFloat 1/'298.257223563'; |
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63
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64
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} |
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65
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if ($ellps eq "NAD83"){ |
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66
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$A =new Math::BigFloat '6378137.00000'; |
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67
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$B =new Math::BigFloat '6356752.0000'; |
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68
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$F =new Math::BigFloat 1/'298.57'; |
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69
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} |
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70
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71
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if ($ellps eq "TEST"){ |
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72
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$A =2; |
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73
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$B =1.5; |
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74
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$F = 1-(1.5/2); |
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75
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} |
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76
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# http://www.ga.gov.au/nmd/geodesy/datums/wgs.jsp |
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77
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$E = sqrt(($A**2 - $B**2)/$A**2); |
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78
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$E2= sqrt(($A**2 - $B**2)/$B**2); |
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79
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80
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# This program converts LLA (latitude, longitude, altitude) locations |
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81
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# into the ECEF (Earth Centered Earth Fixed) coordinate system |
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82
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# The formulaes were found at http://www.u-blox.ch. |
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83
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84
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# Morten Sickel, |
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85
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# Norwegian Radiation Protection Authority |
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86
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87
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# parameters from WGS84 |
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88
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89
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sub _checkdeg{ |
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90
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29
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29
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61
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my ($lat,$lon)=@_; |
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91
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29
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100
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217
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return('invalid latitude (outside [-90,90])') if abs($lat) > $PI; |
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92
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25
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100
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3597
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return('invalid longitude (outside [-180,180]') if abs($lon) > 2*$PI; |
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93
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21
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9592
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return(undef); |
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94
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} |
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95
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96
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sub _dtr{ |
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97
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40
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40
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274
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return $_[0]/180.0*$PI |
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98
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} |
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99
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100
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sub _N{ |
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101
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20
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20
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13312
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my $lat=shift; |
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102
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20
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81
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my $n= $A / sqrt(1-(($E**2)*(sin($lat)**2))); |
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103
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20
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392658
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return($n); |
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104
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} |
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105
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106
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107
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108
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=head3 X |
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109
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110
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X($lat,$lon,$height,$rad) |
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111
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112
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calculates the ecef X-coordinate from the latitude, longitude and height. |
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113
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The lat and lon is considered beeing degrees, unless $rad is set to a true |
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114
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value, in which case they are considered to be radianes. |
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115
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116
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117
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=cut |
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118
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119
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120
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sub X{ |
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121
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5
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5
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1
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76444
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my ($lat,$lon,$h,$rad)=@_; |
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122
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5
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50
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29
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$lat=_dtr($lat) unless $rad; |
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123
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5
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50
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2559
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$lon=_dtr($lon) unless $rad; |
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124
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5
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50
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2224
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carp(_checkdeg($lat,$lon)) if _checkdeg($lat,$lon); |
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125
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5
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15
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return (_N($lat)+$h)*cos($lat)*cos($lon); |
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126
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} |
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127
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128
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=head3 Y |
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129
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130
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calculates the Y-coordinate, else similiar to X() |
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131
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132
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=cut |
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133
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134
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sub Y{ |
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135
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7
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7
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1
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426730
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my ($lat,$lon,$h,$rad)=@_; |
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136
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7
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50
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55
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$lat=_dtr($lat) unless $rad; |
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137
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7
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50
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3385
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$lon=_dtr($lon) unless $rad; |
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138
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7
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50
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3108
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carp(_checkdeg($lat,$lon)) if _checkdeg($lat,$lon); |
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139
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7
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65
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return (_N($lat)+$h)*cos($lat)*sin($lon); |
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140
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} |
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141
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142
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=head3 Z |
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143
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144
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calculates the Z-coordinate, else similiar to X() |
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145
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146
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=cut |
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147
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148
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sub Z{ |
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149
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8
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8
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1
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239575
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my ($lat,$lon,$h,$rad)=@_; |
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150
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8
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50
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59
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$lat=_dtr($lat) unless $rad; |
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151
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8
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50
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4141
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$lon=_dtr($lon) unless $rad; |
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152
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8
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50
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3543
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carp(_checkdeg($lat,$lon)) if _checkdeg($lat,$lon); |
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153
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8
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41
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return((( $B**2/ $A**2 * _N($lat))+$h)*sin($lat)); |
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154
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} |
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155
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156
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=head3 p2dd() |
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157
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158
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p2dd takes a latitude or longitude as output by proj4 and converts it to |
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159
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decimal degrees. The input format is on the form 71d3'56.623"N. undef is |
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160
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returned for invalid values, i.e. min or sec >= 60. |
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161
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162
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=cut |
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163
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164
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#' |
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165
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166
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sub p2dd{ |
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167
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# DMS Coordinates as given out by proj V4 |
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168
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# eg 71d3'56.623"N |
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169
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# or 71d3'N |
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170
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# or 71dN |
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171
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# May use NSEW, S and W coordinates should be negative |
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172
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17
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17
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1
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52
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my $coord=shift; |
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173
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17
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127
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$coord=~/(\d+)d(\d+\'(\d+\.?\d*\")?)?(E|W|N|S)/; |
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174
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4
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4
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23
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no warnings; |
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4
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7
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4
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503
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175
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# May get some undefined value varnings. |
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176
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17
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47
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my $deg= $1; |
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177
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17
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100
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100
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my $min= $2 if $2*1; |
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178
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17
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100
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61
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my $sek= $3 if $3*1; |
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179
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17
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33
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67
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my $quad= $4 || $3 || $2; |
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180
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17
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47
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my $sign= 2*($quad =~tr/NE/NE/)-1; |
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181
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# Sign is 1 for N or E, -1 for others i.e S or W |
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182
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17
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100
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100
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130
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return undef if ($min>=60 || $sek >= 60); |
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183
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# This should not happen when reading proj4 data, but just in case |
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184
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13
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165
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$deg=$sign*($deg+$min/60+$sek/3600); |
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185
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4
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4
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18
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use warnings; |
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4
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6
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4
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257
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186
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} |
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187
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188
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1; |
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189
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190
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=head1 LICENCE |
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191
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192
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This program is free software; you may redistribute it and/or modify it |
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193
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under the same terms as Perl itself. |
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194
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195
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=head1 AUTHORS |
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196
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197
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(c) by Morten Sickel http://sickel.net/ 2005 |
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198
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199
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=cut |