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# -*- encoding: utf-8; indent-tabs-mode: nil -*- |
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# |
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# Perl extension for computing the sunrise/sunset on a given day |
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# Copyright (C) 1999-2003, 2013, 2015, 2017, 2019 Ron Hill and Jean Forget |
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# |
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# See the license in the embedded documentation below. |
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# |
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package Astro::Sunrise; |
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1135605
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use strict; |
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122
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331
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59
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use warnings; |
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330
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1074
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use POSIX qw(floor); |
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16649
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76
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14086
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use Math::Trig; |
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171234
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1571
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99
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use Carp; |
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11
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694
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11
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80
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use vars qw( $VERSION @ISA @EXPORT @EXPORT_OK %EXPORT_TAGS $RADEG $DEGRAD ); |
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13611
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require Exporter; |
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@ISA = qw( Exporter ); |
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@EXPORT = qw( sunrise sun_rise sun_set ); |
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@EXPORT_OK = qw( DEFAULT CIVIL NAUTICAL AMATEUR ASTRONOMICAL sind cosd tand asind acosd atand atan2d equal ); |
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%EXPORT_TAGS = ( |
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constants => [ qw/DEFAULT CIVIL NAUTICAL AMATEUR ASTRONOMICAL/ ], |
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trig => [ qw/sind cosd tand asind acosd atand atan2d equal/ ], |
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); |
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27
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$VERSION = '0.98'; |
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$RADEG = ( 180 / pi ); |
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$DEGRAD = ( pi / 180 ); |
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my $INV360 = ( 1.0 / 360.0 ); |
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31
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32
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sub sun_rise { |
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11
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11
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1
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4693
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my ($sun_rise, undef) = sun_rise_sun_set(@_); |
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8
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32
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return $sun_rise; |
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35
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} |
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36
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sub sun_set { |
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37
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8
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8
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1
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2353
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my (undef, $sun_set) = sun_rise_sun_set(@_); |
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38
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8
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30
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return $sun_set; |
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39
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} |
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40
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41
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sub sun_rise_sun_set { |
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19
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19
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0
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52
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my %arg; |
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43
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19
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100
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54
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if (ref($_[0]) eq 'HASH') { |
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44
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11
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19
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%arg = %{$_[0]}; |
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11
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48
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45
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} |
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46
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else { |
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47
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8
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27
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@arg{ qw/lon lat alt offset/ } = @_; |
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48
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} |
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49
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50
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# This trick aims to fulfill two antagonistic purposes: |
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51
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# -- do not load DateTime if the only function called is "sunrise" |
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52
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# -- load DateTime implicitly if the user calls "sun_rise" or "sun_set". This is to be backward |
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53
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# compatible with 0.92 or earlier, when Astro::Sunrise would load DateTime and thus, allow |
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54
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# the user to remove this line from his script. |
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55
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19
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50
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55
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unless ($INC{DateTime}) { |
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56
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19
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3
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1288
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eval "use DateTime"; |
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3
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3
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28
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3
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3
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5
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1
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1
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25
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39
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14
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14
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57
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50
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64
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croak $@ |
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58
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if $@; |
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59
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} |
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60
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61
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19
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59
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my ($longitude, $latitude) = @arg{ qw/lon lat/ }; |
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62
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19
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100
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53
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my $alt = defined($arg{alt} ) ? $arg{alt} : -0.833; |
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63
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19
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100
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45
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my $offset = defined($arg{offset} ) ? int($arg{offset}) : 0 ; |
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64
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19
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100
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48
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my $tz = defined($arg{time_zone}) ? $arg{time_zone} : 'local'; |
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65
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19
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50
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90
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$arg{precise} ||= 0; |
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66
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19
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50
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75
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$arg{upper_limb} ||= 0; |
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67
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19
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100
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76
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$arg{polar} ||= 'warn'; |
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68
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19
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50
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85
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$arg{trace} ||= 0; |
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69
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19
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100
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139
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croak "Longitude parameter (keyword: 'lon') is mandatory" |
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70
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unless defined $longitude; |
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71
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18
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100
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146
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croak "Latitude parameter (keyword: 'lat') is mandatory" |
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72
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unless defined $latitude; |
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73
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croak "Wrong value of the 'polar' argument: should be either 'warn' or 'retval'" |
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74
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17
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100
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66
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156
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if $arg{polar} ne 'warn' and $arg{polar} ne 'retval'; |
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75
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76
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16
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61
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my $today = DateTime->today(time_zone => $tz); |
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77
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16
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40703
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$today->set( hour => 12 ); |
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78
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16
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8834
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$today->add( days => $offset ); |
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79
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80
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my( $sun_rise, $sun_set ) = sunrise( { year => $today->year, |
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81
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month => $today->mon, |
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82
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day => $today->mday, |
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83
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lon => $longitude, |
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84
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lat => $latitude, |
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85
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tz => ( $today->offset / 3600 ), |
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86
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# |
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87
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# DST is always 0 because DateTime |
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88
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# currently (v 0.16) adds one to the |
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89
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# offset during DST hours |
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90
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isdst => 0, |
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91
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alt => $alt, |
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92
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precise => $arg{precise}, |
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93
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upper_limb => $arg{upper_limb}, |
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94
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polar => $arg{polar}, |
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95
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trace => $arg{trace}, |
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96
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16
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2753
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} ); |
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97
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16
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146
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return ($sun_rise, $sun_set); |
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98
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} |
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99
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100
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sub sunrise { |
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101
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790
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790
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1
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734906
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my %arg; |
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102
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790
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100
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2207
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if (ref($_[0]) eq 'HASH') { |
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103
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672
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979
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%arg = %{$_[0]}; |
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672
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3992
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104
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} |
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105
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else { |
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106
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118
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607
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@arg{ qw/year month day lon lat tz isdst alt precise/ } = @_; |
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107
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} |
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108
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my ( $year, $month, $day, $lon, $lat, $TZ, $isdst, $trace) |
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109
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790
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2958
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= @arg{ qw/year month day lon lat tz isdst trace/ }; |
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110
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790
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100
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1947
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my $altit = defined($arg{alt} ) ? $arg{alt} : -0.833; |
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111
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790
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100
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3252
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$arg{precise} ||= 0; |
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112
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790
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100
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2495
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$arg{upper_limb} ||= 0; |
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113
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790
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100
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2183
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$arg{polar} ||= 'warn'; |
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114
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790
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50
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2642
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$trace ||= 0; |
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115
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790
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100
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1533
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croak "Year parameter is mandatory" |
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116
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unless defined $year; |
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117
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789
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100
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1541
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croak "Month parameter is mandatory" |
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118
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unless defined $month; |
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119
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788
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100
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1444
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croak "Day parameter is mandatory" |
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120
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unless defined $day; |
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121
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787
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100
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1434
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croak "Longitude parameter (keyword: 'lon') is mandatory" |
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122
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unless defined $lon; |
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123
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786
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100
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1445
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croak "Latitude parameter (keyword: 'lat') is mandatory" |
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124
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unless defined $lat; |
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125
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croak "Wrong value of the 'polar' argument: should be either 'warn' or 'retval'" |
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126
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785
|
100
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100
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2511
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if $arg{polar} ne 'warn' and $arg{polar} ne 'retval'; |
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127
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128
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784
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100
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1485
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if ($arg{precise}) { |
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129
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# This is the initial start |
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130
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182
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413
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my $d = days_since_2000_Jan_0($year, $month, $day) - $lon / 360.0; |
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131
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132
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182
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50
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388
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if ($trace) { |
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133
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0
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0
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print $trace "Precise computation of sunrise for $year-$month-$day, lon $lon, lat $lat, altitude $altit, upper limb $arg{upper_limb}\n"; |
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134
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} |
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135
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182
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276
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my $h1 = 12; # noon, then sunrise |
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136
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182
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362
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for my $counter (1..9) { |
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137
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# 9 is a failsafe precaution against a possibly runaway loop |
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138
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# but hopefully, we will leave the loop long before, with "last" |
|
139
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267
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338
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my $h2; |
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140
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267
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|
819
|
($h2, undef) = sun_rise_set($d + $h1 / 24, $lon, $lat, $altit, 15.04107, $arg{upper_limb}, $arg{polar}, $trace); |
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141
|
267
|
100
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100
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1202
|
if ($h2 eq 'day' or $h2 eq 'night') { |
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142
|
150
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210
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$h1 = $h2; |
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143
|
150
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240
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last; |
|
144
|
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} |
|
145
|
117
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100
|
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|
258
|
if (equal($h1, $h2, 5)) { |
|
146
|
|
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|
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# equal within 1e-5 hour, a little less than a second |
|
147
|
31
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49
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$h1 = $h2; |
|
148
|
31
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53
|
last; |
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149
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|
|
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|
|
} |
|
150
|
86
|
|
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|
|
217
|
$h1 = $h2; |
|
151
|
|
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|
|
} |
|
152
|
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|
153
|
182
|
50
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|
327
|
if ($trace) { |
|
154
|
0
|
|
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|
|
0
|
print $trace "Precise computation of sunset for $year-$month-$day, lon $lon, lat $lat, altitude $altit, upper limb $arg{upper_limb}\n"; |
|
155
|
|
|
|
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|
|
} |
|
156
|
182
|
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|
237
|
my $h3 = 12; # noon at first, then sunset |
|
157
|
182
|
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|
|
|
337
|
for my $counter (1..9) { |
|
158
|
|
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|
|
|
|
# 9 is a failsafe precaution against a possibly runaway loop |
|
159
|
|
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|
|
|
# but hopefully, we will leave the loop long before, with "last" |
|
160
|
256
|
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|
|
|
382
|
my $h4; |
|
161
|
256
|
|
|
|
|
656
|
(undef, $h4) = sun_rise_set($d + $h3 / 24, $lon, $lat, $altit, 15.04107, $arg{upper_limb}, $arg{polar}, $trace); |
|
162
|
256
|
100
|
100
|
|
|
1274
|
if ($h4 eq 'day' or $h4 eq 'night') { |
|
163
|
150
|
|
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|
209
|
$h3 = $h4; |
|
164
|
150
|
|
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|
|
223
|
last; |
|
165
|
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|
|
} |
|
166
|
106
|
100
|
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|
230
|
if (equal($h3, $h4, 5)) { |
|
167
|
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|
|
# equal within 1e-5 hour, a little less than a second |
|
168
|
31
|
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|
50
|
$h3 = $h4; |
|
169
|
31
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52
|
last; |
|
170
|
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} |
|
171
|
75
|
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|
207
|
$h3 = $h4; |
|
172
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|
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} |
|
173
|
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|
174
|
182
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|
373
|
return convert_hour($h1, $h3, $TZ, $isdst); |
|
175
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|
176
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} |
|
177
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|
|
else { |
|
178
|
602
|
50
|
|
|
|
1052
|
if ($trace) { |
|
179
|
0
|
|
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|
|
0
|
print $trace "Basic computation of sunrise and sunset for $year-$month-$day, lon $lon, lat $lat, altitude $altit, upper limb $arg{upper_limb}\n"; |
|
180
|
|
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|
|
} |
|
181
|
602
|
|
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|
1224
|
my $d = days_since_2000_Jan_0( $year, $month, $day ) + 0.5 - $lon / 360.0; |
|
182
|
602
|
|
|
|
|
1560
|
my ($h1, $h2) = sun_rise_set($d, $lon, $lat, $altit, 15.0, $arg{upper_limb}, $arg{polar}, $trace); |
|
183
|
602
|
50
|
100
|
|
|
6045
|
if ($h1 eq 'day' or $h1 eq 'night' or $h2 eq 'day' or $h2 eq 'night') { |
|
|
|
|
66
|
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|
66
|
|
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|
184
|
150
|
|
|
|
|
766
|
return ($h1, $h2); |
|
185
|
|
|
|
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|
|
} |
|
186
|
452
|
|
|
|
|
1039
|
return convert_hour($h1, $h2, $TZ, $isdst); |
|
187
|
|
|
|
|
|
|
} |
|
188
|
|
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|
|
} |
|
189
|
|
|
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|
|
|
####################################################################################### |
|
190
|
|
|
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|
|
|
# end sunrise |
|
191
|
|
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|
|
|
|
################################################################################### |
|
192
|
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|
193
|
|
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|
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|
|
# |
|
194
|
|
|
|
|
|
|
# |
|
195
|
|
|
|
|
|
|
# FUNCTIONAL SEQUENCE for days_since_2000_Jan_0 |
|
196
|
|
|
|
|
|
|
# |
|
197
|
|
|
|
|
|
|
# _GIVEN |
|
198
|
|
|
|
|
|
|
# year, month, day |
|
199
|
|
|
|
|
|
|
# |
|
200
|
|
|
|
|
|
|
# _THEN |
|
201
|
|
|
|
|
|
|
# |
|
202
|
|
|
|
|
|
|
# process the year month and day (counted in days) |
|
203
|
|
|
|
|
|
|
# Day 0.0 is at Jan 1 2000 0.0 UT |
|
204
|
|
|
|
|
|
|
# Note that ALL divisions here should be INTEGER divisions |
|
205
|
|
|
|
|
|
|
# |
|
206
|
|
|
|
|
|
|
# _RETURN |
|
207
|
|
|
|
|
|
|
# |
|
208
|
|
|
|
|
|
|
# day number |
|
209
|
|
|
|
|
|
|
# |
|
210
|
|
|
|
|
|
|
sub days_since_2000_Jan_0 { |
|
211
|
11
|
|
|
11
|
|
6082
|
use integer; |
|
|
11
|
|
|
|
|
166
|
|
|
|
11
|
|
|
|
|
64
|
|
|
212
|
784
|
|
|
784
|
0
|
1500
|
my ( $year, $month, $day ) = @_; |
|
213
|
|
|
|
|
|
|
|
|
214
|
784
|
|
|
|
|
2593
|
my $d = 367 * $year |
|
215
|
|
|
|
|
|
|
- int( ( 7 * ( $year + ( ($month + 9) / 12 ) ) ) / 4 ) |
|
216
|
|
|
|
|
|
|
+ int( (275 * $month) / 9 ) |
|
217
|
|
|
|
|
|
|
+ $day - 730530; |
|
218
|
|
|
|
|
|
|
|
|
219
|
784
|
|
|
|
|
2106
|
return $d; |
|
220
|
|
|
|
|
|
|
|
|
221
|
|
|
|
|
|
|
} |
|
222
|
|
|
|
|
|
|
|
|
223
|
|
|
|
|
|
|
# |
|
224
|
|
|
|
|
|
|
# |
|
225
|
|
|
|
|
|
|
# FUNCTIONAL SEQUENCE for convert_hour |
|
226
|
|
|
|
|
|
|
# |
|
227
|
|
|
|
|
|
|
# _GIVEN |
|
228
|
|
|
|
|
|
|
# Hour_rise, Hour_set, Time zone offset, DST setting |
|
229
|
|
|
|
|
|
|
# hours are in UT |
|
230
|
|
|
|
|
|
|
# |
|
231
|
|
|
|
|
|
|
# _THEN |
|
232
|
|
|
|
|
|
|
# |
|
233
|
|
|
|
|
|
|
# convert to local time |
|
234
|
|
|
|
|
|
|
# |
|
235
|
|
|
|
|
|
|
# |
|
236
|
|
|
|
|
|
|
# _RETURN |
|
237
|
|
|
|
|
|
|
# |
|
238
|
|
|
|
|
|
|
# hour:min rise and set |
|
239
|
|
|
|
|
|
|
# |
|
240
|
|
|
|
|
|
|
|
|
241
|
|
|
|
|
|
|
sub convert_hour { |
|
242
|
634
|
|
|
634
|
0
|
1218
|
my ($hour_rise_ut, $hour_set_ut, $TZ, $isdst) = @_; |
|
243
|
634
|
|
|
|
|
1124
|
return (convert_1_hour($hour_rise_ut, $TZ, $isdst), |
|
244
|
|
|
|
|
|
|
convert_1_hour($hour_set_ut, $TZ, $isdst)); |
|
245
|
|
|
|
|
|
|
} |
|
246
|
|
|
|
|
|
|
# |
|
247
|
|
|
|
|
|
|
# |
|
248
|
|
|
|
|
|
|
# FUNCTIONAL SEQUENCE for convert_1_hour |
|
249
|
|
|
|
|
|
|
# |
|
250
|
|
|
|
|
|
|
# _GIVEN |
|
251
|
|
|
|
|
|
|
# Hour, Time zone offset, DST setting |
|
252
|
|
|
|
|
|
|
# hours are in UT |
|
253
|
|
|
|
|
|
|
# |
|
254
|
|
|
|
|
|
|
# _THEN |
|
255
|
|
|
|
|
|
|
# |
|
256
|
|
|
|
|
|
|
# convert to local time |
|
257
|
|
|
|
|
|
|
# |
|
258
|
|
|
|
|
|
|
# |
|
259
|
|
|
|
|
|
|
# _RETURN |
|
260
|
|
|
|
|
|
|
# |
|
261
|
|
|
|
|
|
|
# hour:min |
|
262
|
|
|
|
|
|
|
# |
|
263
|
|
|
|
|
|
|
|
|
264
|
|
|
|
|
|
|
sub convert_1_hour { |
|
265
|
1268
|
|
|
1268
|
0
|
2114
|
my ($hour_ut, $TZ, $isdst) = @_; |
|
266
|
|
|
|
|
|
|
|
|
267
|
1268
|
100
|
100
|
|
|
5893
|
if ($hour_ut eq 'day' or $hour_ut eq 'night') { |
|
268
|
300
|
|
|
|
|
1111
|
return $hour_ut; |
|
269
|
|
|
|
|
|
|
} |
|
270
|
|
|
|
|
|
|
|
|
271
|
968
|
|
|
|
|
1531
|
my $hour_local = $hour_ut + $TZ; |
|
272
|
968
|
50
|
|
|
|
1574
|
if ($isdst) { |
|
273
|
0
|
|
|
|
|
0
|
$hour_local ++; |
|
274
|
|
|
|
|
|
|
} |
|
275
|
|
|
|
|
|
|
|
|
276
|
|
|
|
|
|
|
# The hour should be between 0 and 24; |
|
277
|
968
|
100
|
|
|
|
2067
|
if ($hour_local < 0) { |
|
|
|
100
|
|
|
|
|
|
|
278
|
1
|
|
|
|
|
3
|
$hour_local += 24; |
|
279
|
|
|
|
|
|
|
} |
|
280
|
|
|
|
|
|
|
elsif ($hour_local > 24) { |
|
281
|
21
|
|
|
|
|
39
|
$hour_local -= 24; |
|
282
|
|
|
|
|
|
|
} |
|
283
|
|
|
|
|
|
|
|
|
284
|
968
|
|
|
|
|
1424
|
my $hour = int ($hour_local); |
|
285
|
|
|
|
|
|
|
|
|
286
|
968
|
|
|
|
|
2154
|
my $min = floor(($hour_local - $hour) * 60 + 0.5); |
|
287
|
|
|
|
|
|
|
|
|
288
|
968
|
100
|
|
|
|
1939
|
if ($min >= 60) { |
|
289
|
7
|
|
|
|
|
18
|
$min -= 60; |
|
290
|
7
|
|
|
|
|
14
|
$hour++; |
|
291
|
7
|
50
|
|
|
|
18
|
$hour -= 24 if $hour >= 24; |
|
292
|
|
|
|
|
|
|
} |
|
293
|
|
|
|
|
|
|
|
|
294
|
968
|
|
|
|
|
5070
|
return sprintf("%02d:%02d", $hour, $min); |
|
295
|
|
|
|
|
|
|
} |
|
296
|
|
|
|
|
|
|
|
|
297
|
|
|
|
|
|
|
|
|
298
|
|
|
|
|
|
|
sub sun_rise_set { |
|
299
|
1125
|
|
|
1125
|
0
|
2719
|
my ($d, $lon, $lat,$altit, $h, $upper_limb, $polar, $trace) = @_; |
|
300
|
|
|
|
|
|
|
|
|
301
|
|
|
|
|
|
|
# Compute local sidereal time of this moment |
|
302
|
1125
|
|
|
|
|
1928
|
my $sidtime = revolution( GMST0($d) + 180.0 + $lon ); |
|
303
|
|
|
|
|
|
|
|
|
304
|
|
|
|
|
|
|
# Compute Sun's RA + Decl + distance at this moment |
|
305
|
1125
|
|
|
|
|
2188
|
my ( $sRA, $sdec, $sr ) = sun_RA_dec($d, $lon, $trace); |
|
306
|
|
|
|
|
|
|
|
|
307
|
|
|
|
|
|
|
# Compute time when Sun is at south - in hours UT |
|
308
|
1125
|
|
|
|
|
2224
|
my $tsouth = 12.0 - rev180( $sidtime - $sRA ) / 15.0; |
|
309
|
1125
|
50
|
|
|
|
2232
|
if ($trace) { |
|
310
|
0
|
|
|
|
|
0
|
printf $trace "For day $d (%s), sidereal time $sidtime, right asc $sRA\n", _fmt_hr(24 * ($d - int($d)), $lon); |
|
311
|
0
|
|
|
|
|
0
|
printf $trace "For day $d (%s), solar noon at $tsouth (%s)\n", _fmt_hr(24 * ($d - int($d)), $lon), _fmt_hr($tsouth, $lon); |
|
312
|
|
|
|
|
|
|
} |
|
313
|
|
|
|
|
|
|
|
|
314
|
1125
|
100
|
|
|
|
1892
|
if ($upper_limb) { |
|
315
|
|
|
|
|
|
|
# Compute the Sun's apparent radius, degrees |
|
316
|
486
|
|
|
|
|
702
|
my $sradius = 0.2666 / $sr; |
|
317
|
486
|
|
|
|
|
1081
|
$altit -= $sradius; |
|
318
|
|
|
|
|
|
|
} |
|
319
|
|
|
|
|
|
|
|
|
320
|
|
|
|
|
|
|
# Compute the diurnal arc that the Sun traverses to reach |
|
321
|
|
|
|
|
|
|
# the specified altitude altit: |
|
322
|
1125
|
|
|
|
|
1751
|
my $cost = ( sind($altit) - sind($lat) * sind($sdec) ) |
|
323
|
|
|
|
|
|
|
/ ( cosd($lat) * cosd($sdec) ); |
|
324
|
|
|
|
|
|
|
|
|
325
|
1125
|
|
|
|
|
1629
|
my $t; |
|
326
|
1125
|
100
|
|
|
|
2648
|
if ( $cost >= 1.0 ) { |
|
|
|
100
|
|
|
|
|
|
|
327
|
142
|
100
|
|
|
|
289
|
if ($polar eq 'retval') { |
|
328
|
138
|
|
|
|
|
398
|
return ('night', 'night'); |
|
329
|
|
|
|
|
|
|
} |
|
330
|
4
|
|
|
|
|
744
|
carp "Sun never rises!!\n"; |
|
331
|
4
|
|
|
|
|
303
|
$t = 0.0; # Sun always below altit |
|
332
|
|
|
|
|
|
|
} |
|
333
|
|
|
|
|
|
|
elsif ( $cost <= -1.0 ) { |
|
334
|
320
|
100
|
|
|
|
697
|
if ($polar eq 'retval') { |
|
335
|
312
|
|
|
|
|
896
|
return ('day', 'day'); |
|
336
|
|
|
|
|
|
|
} |
|
337
|
8
|
|
|
|
|
1099
|
carp "Sun never sets!!\n"; |
|
338
|
8
|
|
|
|
|
487
|
$t = 12.0; # Sun always above altit |
|
339
|
|
|
|
|
|
|
} |
|
340
|
|
|
|
|
|
|
else { |
|
341
|
663
|
|
|
|
|
1151
|
my $arc = acosd($cost); # The diurnal arc |
|
342
|
663
|
|
|
|
|
4249
|
$t = $arc / $h; # Time to traverse the diurnal arc, hours |
|
343
|
663
|
50
|
|
|
|
1314
|
if ($trace) { |
|
344
|
0
|
|
|
|
|
0
|
printf $trace "Diurnal arc $arc -> $t hours (%s)\n", _fmt_dur($t); |
|
345
|
|
|
|
|
|
|
} |
|
346
|
|
|
|
|
|
|
} |
|
347
|
|
|
|
|
|
|
|
|
348
|
|
|
|
|
|
|
# Store rise and set times - in hours UT |
|
349
|
|
|
|
|
|
|
|
|
350
|
675
|
|
|
|
|
975
|
my $hour_rise_ut = $tsouth - $t; |
|
351
|
675
|
|
|
|
|
931
|
my $hour_set_ut = $tsouth + $t; |
|
352
|
675
|
50
|
|
|
|
1537
|
if ($trace) { |
|
353
|
0
|
|
|
|
|
0
|
printf $trace "For day $d (%s), sunrise at $hour_rise_ut (%s)\n", _fmt_hr(24 * ($d - int($d)), $lon), |
|
354
|
|
|
|
|
|
|
_fmt_hr($hour_rise_ut, $lon); |
|
355
|
0
|
|
|
|
|
0
|
printf $trace "For day $d (%s), sunset at $hour_set_ut (%s)\n", _fmt_hr(24 * ($d - int($d)), $lon), |
|
356
|
|
|
|
|
|
|
_fmt_hr($hour_set_ut , $lon); |
|
357
|
|
|
|
|
|
|
} |
|
358
|
675
|
|
|
|
|
1528
|
return($hour_rise_ut, $hour_set_ut); |
|
359
|
|
|
|
|
|
|
} |
|
360
|
|
|
|
|
|
|
|
|
361
|
|
|
|
|
|
|
######################################################################################################### |
|
362
|
|
|
|
|
|
|
# |
|
363
|
|
|
|
|
|
|
# |
|
364
|
|
|
|
|
|
|
# FUNCTIONAL SEQUENCE for GMST0 |
|
365
|
|
|
|
|
|
|
# |
|
366
|
|
|
|
|
|
|
# _GIVEN |
|
367
|
|
|
|
|
|
|
# Day number |
|
368
|
|
|
|
|
|
|
# |
|
369
|
|
|
|
|
|
|
# _THEN |
|
370
|
|
|
|
|
|
|
# |
|
371
|
|
|
|
|
|
|
# computes GMST0, the Greenwich Mean Sidereal Time |
|
372
|
|
|
|
|
|
|
# at 0h UT (i.e. the sidereal time at the Greenwich meridian at |
|
373
|
|
|
|
|
|
|
# 0h UT). GMST is then the sidereal time at Greenwich at any |
|
374
|
|
|
|
|
|
|
# time of the day.. |
|
375
|
|
|
|
|
|
|
# |
|
376
|
|
|
|
|
|
|
# |
|
377
|
|
|
|
|
|
|
# _RETURN |
|
378
|
|
|
|
|
|
|
# |
|
379
|
|
|
|
|
|
|
# Sidtime |
|
380
|
|
|
|
|
|
|
# |
|
381
|
|
|
|
|
|
|
sub GMST0 { |
|
382
|
1125
|
|
|
1125
|
0
|
1767
|
my ($d) = @_; |
|
383
|
|
|
|
|
|
|
|
|
384
|
1125
|
|
|
|
|
2308
|
my $sidtim0 = revolution( ( 180.0 + 356.0470 + 282.9404 ) |
|
385
|
|
|
|
|
|
|
+ ( 0.9856002585 + 4.70935E-5 ) * $d ); |
|
386
|
1125
|
|
|
|
|
2327
|
return $sidtim0; |
|
387
|
|
|
|
|
|
|
|
|
388
|
|
|
|
|
|
|
} |
|
389
|
|
|
|
|
|
|
|
|
390
|
|
|
|
|
|
|
# |
|
391
|
|
|
|
|
|
|
# |
|
392
|
|
|
|
|
|
|
# FUNCTIONAL SEQUENCE for sun_RA_dec |
|
393
|
|
|
|
|
|
|
# |
|
394
|
|
|
|
|
|
|
# _GIVEN |
|
395
|
|
|
|
|
|
|
# day number, $r and $lon (from sunpos) |
|
396
|
|
|
|
|
|
|
# |
|
397
|
|
|
|
|
|
|
# _THEN |
|
398
|
|
|
|
|
|
|
# |
|
399
|
|
|
|
|
|
|
# compute RA and dec |
|
400
|
|
|
|
|
|
|
# |
|
401
|
|
|
|
|
|
|
# |
|
402
|
|
|
|
|
|
|
# _RETURN |
|
403
|
|
|
|
|
|
|
# |
|
404
|
|
|
|
|
|
|
# Sun's Right Ascension (RA), Declination (dec) and distance (r) |
|
405
|
|
|
|
|
|
|
# |
|
406
|
|
|
|
|
|
|
# |
|
407
|
|
|
|
|
|
|
sub sun_RA_dec { |
|
408
|
1125
|
|
|
1125
|
0
|
1892
|
my ($d, $lon_noon, $trace) = @_; |
|
409
|
|
|
|
|
|
|
|
|
410
|
|
|
|
|
|
|
# Compute Sun's ecliptical coordinates |
|
411
|
1125
|
|
|
|
|
1853
|
my ( $r, $lon ) = sunpos($d); |
|
412
|
1125
|
50
|
|
|
|
2095
|
if ($trace) { |
|
413
|
0
|
|
|
|
|
0
|
printf $trace "For day $d (%s), solar noon at ecliptic longitude $lon\n", _fmt_hr(24 * ($d - int($d)), $lon_noon),; |
|
414
|
|
|
|
|
|
|
} |
|
415
|
|
|
|
|
|
|
|
|
416
|
|
|
|
|
|
|
# Compute ecliptic rectangular coordinates (z=0) |
|
417
|
1125
|
|
|
|
|
1774
|
my $x = $r * cosd($lon); |
|
418
|
1125
|
|
|
|
|
1768
|
my $y = $r * sind($lon); |
|
419
|
|
|
|
|
|
|
|
|
420
|
|
|
|
|
|
|
# Compute obliquity of ecliptic (inclination of Earth's axis) |
|
421
|
1125
|
|
|
|
|
1743
|
my $obl_ecl = 23.4393 - 3.563E-7 * $d; |
|
422
|
|
|
|
|
|
|
|
|
423
|
|
|
|
|
|
|
# Convert to equatorial rectangular coordinates - x is unchanged |
|
424
|
1125
|
|
|
|
|
1555
|
my $z = $y * sind($obl_ecl); |
|
425
|
1125
|
|
|
|
|
1684
|
$y = $y * cosd($obl_ecl); |
|
426
|
|
|
|
|
|
|
|
|
427
|
|
|
|
|
|
|
# Convert to spherical coordinates |
|
428
|
1125
|
|
|
|
|
1752
|
my $RA = atan2d( $y, $x ); |
|
429
|
1125
|
|
|
|
|
2058
|
my $dec = atan2d( $z, sqrt( $x * $x + $y * $y ) ); |
|
430
|
|
|
|
|
|
|
|
|
431
|
1125
|
|
|
|
|
2580
|
return ( $RA, $dec, $r ); |
|
432
|
|
|
|
|
|
|
|
|
433
|
|
|
|
|
|
|
} # sun_RA_dec |
|
434
|
|
|
|
|
|
|
|
|
435
|
|
|
|
|
|
|
|
|
436
|
|
|
|
|
|
|
# |
|
437
|
|
|
|
|
|
|
# |
|
438
|
|
|
|
|
|
|
# FUNCTIONAL SEQUENCE for sunpos |
|
439
|
|
|
|
|
|
|
# |
|
440
|
|
|
|
|
|
|
# _GIVEN |
|
441
|
|
|
|
|
|
|
# day number |
|
442
|
|
|
|
|
|
|
# |
|
443
|
|
|
|
|
|
|
# _THEN |
|
444
|
|
|
|
|
|
|
# |
|
445
|
|
|
|
|
|
|
# Computes the Sun's ecliptic longitude and distance |
|
446
|
|
|
|
|
|
|
# at an instant given in d, number of days since |
|
447
|
|
|
|
|
|
|
# 2000 Jan 0.0. |
|
448
|
|
|
|
|
|
|
# |
|
449
|
|
|
|
|
|
|
# |
|
450
|
|
|
|
|
|
|
# _RETURN |
|
451
|
|
|
|
|
|
|
# |
|
452
|
|
|
|
|
|
|
# ecliptic longitude and distance |
|
453
|
|
|
|
|
|
|
# ie. $True_solar_longitude, $Solar_distance |
|
454
|
|
|
|
|
|
|
# |
|
455
|
|
|
|
|
|
|
sub sunpos { |
|
456
|
1125
|
|
|
1125
|
0
|
1680
|
my ($d) = @_; |
|
457
|
|
|
|
|
|
|
|
|
458
|
|
|
|
|
|
|
# Mean anomaly of the Sun |
|
459
|
|
|
|
|
|
|
# Mean longitude of perihelion |
|
460
|
|
|
|
|
|
|
# Note: Sun's mean longitude = M + w |
|
461
|
|
|
|
|
|
|
# Eccentricity of Earth's orbit |
|
462
|
|
|
|
|
|
|
# Eccentric anomaly |
|
463
|
|
|
|
|
|
|
# x, y coordinates in orbit |
|
464
|
|
|
|
|
|
|
# True anomaly |
|
465
|
|
|
|
|
|
|
|
|
466
|
|
|
|
|
|
|
# Compute mean elements |
|
467
|
1125
|
|
|
|
|
1907
|
my $Mean_anomaly_of_sun = revolution( 356.0470 + 0.9856002585 * $d ); |
|
468
|
1125
|
|
|
|
|
1833
|
my $Mean_longitude_of_perihelion = 282.9404 + 4.70935E-5 * $d; |
|
469
|
1125
|
|
|
|
|
1615
|
my $Eccentricity_of_Earth_orbit = 0.016709 - 1.151E-9 * $d; |
|
470
|
|
|
|
|
|
|
|
|
471
|
|
|
|
|
|
|
# Compute true longitude and radius vector |
|
472
|
1125
|
|
|
|
|
1980
|
my $Eccentric_anomaly = $Mean_anomaly_of_sun |
|
473
|
|
|
|
|
|
|
+ $Eccentricity_of_Earth_orbit * $RADEG |
|
474
|
|
|
|
|
|
|
* sind($Mean_anomaly_of_sun) |
|
475
|
|
|
|
|
|
|
* ( 1.0 + $Eccentricity_of_Earth_orbit * cosd($Mean_anomaly_of_sun) ); |
|
476
|
|
|
|
|
|
|
|
|
477
|
1125
|
|
|
|
|
1840
|
my $x = cosd($Eccentric_anomaly) - $Eccentricity_of_Earth_orbit; |
|
478
|
|
|
|
|
|
|
|
|
479
|
1125
|
|
|
|
|
2071
|
my $y = sqrt( 1.0 - $Eccentricity_of_Earth_orbit * $Eccentricity_of_Earth_orbit ) |
|
480
|
|
|
|
|
|
|
* sind($Eccentric_anomaly); |
|
481
|
|
|
|
|
|
|
|
|
482
|
1125
|
|
|
|
|
1823
|
my $Solar_distance = sqrt( $x * $x + $y * $y ); # Solar distance |
|
483
|
1125
|
|
|
|
|
1762
|
my $True_anomaly = atan2d( $y, $x ); # True anomaly |
|
484
|
|
|
|
|
|
|
|
|
485
|
1125
|
|
|
|
|
1659
|
my $True_solar_longitude = $True_anomaly + $Mean_longitude_of_perihelion; # True solar longitude |
|
486
|
|
|
|
|
|
|
|
|
487
|
1125
|
100
|
|
|
|
2394
|
if ( $True_solar_longitude >= 360.0 ) { |
|
488
|
447
|
|
|
|
|
632
|
$True_solar_longitude -= 360.0; # Make it 0..360 degrees |
|
489
|
|
|
|
|
|
|
} |
|
490
|
|
|
|
|
|
|
|
|
491
|
1125
|
|
|
|
|
2476
|
return ( $Solar_distance, $True_solar_longitude ); |
|
492
|
|
|
|
|
|
|
} |
|
493
|
|
|
|
|
|
|
|
|
494
|
|
|
|
|
|
|
|
|
495
|
|
|
|
|
|
|
|
|
496
|
|
|
|
|
|
|
sub sind { |
|
497
|
7881
|
|
|
7881
|
1
|
18103
|
sin( ( $_[0] ) * $DEGRAD ); |
|
498
|
|
|
|
|
|
|
} |
|
499
|
|
|
|
|
|
|
|
|
500
|
|
|
|
|
|
|
sub cosd { |
|
501
|
6756
|
|
|
6756
|
1
|
11370
|
cos( ( $_[0] ) * $DEGRAD ); |
|
502
|
|
|
|
|
|
|
} |
|
503
|
|
|
|
|
|
|
|
|
504
|
|
|
|
|
|
|
sub tand { |
|
505
|
6
|
|
|
6
|
1
|
47
|
tan( ( $_[0] ) * $DEGRAD ); |
|
506
|
|
|
|
|
|
|
} |
|
507
|
|
|
|
|
|
|
|
|
508
|
|
|
|
|
|
|
sub atand { |
|
509
|
6
|
|
|
6
|
1
|
19
|
( $RADEG * atan( $_[0] ) ); |
|
510
|
|
|
|
|
|
|
} |
|
511
|
|
|
|
|
|
|
|
|
512
|
|
|
|
|
|
|
sub asind { |
|
513
|
6
|
|
|
6
|
1
|
20
|
( $RADEG * asin( $_[0] ) ); |
|
514
|
|
|
|
|
|
|
} |
|
515
|
|
|
|
|
|
|
|
|
516
|
|
|
|
|
|
|
sub acosd { |
|
517
|
669
|
|
|
669
|
1
|
1786
|
( $RADEG * acos( $_[0] ) ); |
|
518
|
|
|
|
|
|
|
} |
|
519
|
|
|
|
|
|
|
|
|
520
|
|
|
|
|
|
|
sub atan2d { |
|
521
|
3382
|
|
|
3382
|
1
|
8420
|
( $RADEG * atan2( $_[0], $_[1] ) ); |
|
522
|
|
|
|
|
|
|
} |
|
523
|
|
|
|
|
|
|
|
|
524
|
|
|
|
|
|
|
# |
|
525
|
|
|
|
|
|
|
# |
|
526
|
|
|
|
|
|
|
# FUNCTIONAL SEQUENCE for revolution |
|
527
|
|
|
|
|
|
|
# |
|
528
|
|
|
|
|
|
|
# _GIVEN |
|
529
|
|
|
|
|
|
|
# any angle |
|
530
|
|
|
|
|
|
|
# |
|
531
|
|
|
|
|
|
|
# _THEN |
|
532
|
|
|
|
|
|
|
# |
|
533
|
|
|
|
|
|
|
# reduces any angle to within the first revolution |
|
534
|
|
|
|
|
|
|
# by subtracting or adding even multiples of 360.0 |
|
535
|
|
|
|
|
|
|
# |
|
536
|
|
|
|
|
|
|
# |
|
537
|
|
|
|
|
|
|
# _RETURN |
|
538
|
|
|
|
|
|
|
# |
|
539
|
|
|
|
|
|
|
# the value of the input is >= 0.0 and < 360.0 |
|
540
|
|
|
|
|
|
|
# |
|
541
|
|
|
|
|
|
|
|
|
542
|
|
|
|
|
|
|
sub revolution { |
|
543
|
3375
|
|
|
3375
|
0
|
4389
|
my $x = $_[0]; |
|
544
|
3375
|
|
|
|
|
7572
|
return ( $x - 360.0 * floor( $x * $INV360 ) ); |
|
545
|
|
|
|
|
|
|
} |
|
546
|
|
|
|
|
|
|
|
|
547
|
|
|
|
|
|
|
# |
|
548
|
|
|
|
|
|
|
# |
|
549
|
|
|
|
|
|
|
# FUNCTIONAL SEQUENCE for rev180 |
|
550
|
|
|
|
|
|
|
# |
|
551
|
|
|
|
|
|
|
# _GIVEN |
|
552
|
|
|
|
|
|
|
# |
|
553
|
|
|
|
|
|
|
# any angle |
|
554
|
|
|
|
|
|
|
# |
|
555
|
|
|
|
|
|
|
# _THEN |
|
556
|
|
|
|
|
|
|
# |
|
557
|
|
|
|
|
|
|
# Reduce input to within -180..+180 degrees |
|
558
|
|
|
|
|
|
|
# |
|
559
|
|
|
|
|
|
|
# |
|
560
|
|
|
|
|
|
|
# _RETURN |
|
561
|
|
|
|
|
|
|
# |
|
562
|
|
|
|
|
|
|
# angle that was reduced |
|
563
|
|
|
|
|
|
|
# |
|
564
|
|
|
|
|
|
|
sub rev180 { |
|
565
|
1125
|
|
|
1125
|
0
|
1626
|
my ($x) = @_; |
|
566
|
|
|
|
|
|
|
|
|
567
|
1125
|
|
|
|
|
3145
|
return ( $x - 360.0 * floor( $x * $INV360 + 0.5 ) ); |
|
568
|
|
|
|
|
|
|
} |
|
569
|
|
|
|
|
|
|
|
|
570
|
|
|
|
|
|
|
sub equal { |
|
571
|
266
|
|
|
266
|
1
|
682
|
my ($A, $B, $dp) = @_; |
|
572
|
|
|
|
|
|
|
|
|
573
|
266
|
|
|
|
|
1626
|
return sprintf("%.${dp}g", $A) eq sprintf("%.${dp}g", $B); |
|
574
|
|
|
|
|
|
|
} |
|
575
|
|
|
|
|
|
|
|
|
576
|
|
|
|
|
|
|
sub _fmt_hr { |
|
577
|
0
|
|
|
0
|
|
0
|
my ($utc, $lon) = @_; |
|
578
|
0
|
|
|
|
|
0
|
my $lmt = $utc + $lon / 15; |
|
579
|
0
|
|
|
|
|
0
|
my $hr_utc = floor($utc); |
|
580
|
0
|
|
|
|
|
0
|
$utc -= $hr_utc; |
|
581
|
0
|
|
|
|
|
0
|
$utc *= 60; |
|
582
|
0
|
|
|
|
|
0
|
my $mn_utc = floor($utc); |
|
583
|
0
|
|
|
|
|
0
|
$utc -= $mn_utc; |
|
584
|
0
|
|
|
|
|
0
|
$utc *= 60; |
|
585
|
0
|
|
|
|
|
0
|
my $sc_utc = floor($utc); |
|
586
|
0
|
|
|
|
|
0
|
my $hr_lmt = floor($lmt); |
|
587
|
0
|
|
|
|
|
0
|
$lmt -= $hr_lmt; |
|
588
|
0
|
|
|
|
|
0
|
$lmt *= 60; |
|
589
|
0
|
|
|
|
|
0
|
my $mn_lmt = floor($lmt); |
|
590
|
0
|
|
|
|
|
0
|
$lmt -= $mn_lmt; |
|
591
|
0
|
|
|
|
|
0
|
$lmt *= 60; |
|
592
|
0
|
|
|
|
|
0
|
my $sc_lmt = floor($lmt); |
|
593
|
0
|
|
|
|
|
0
|
return sprintf("%02d:%02d:%02d UTC %02d:%02d:%02d LMT", $hr_utc, $mn_utc, $sc_utc, $hr_lmt, $mn_lmt, $sc_lmt); |
|
594
|
|
|
|
|
|
|
} |
|
595
|
|
|
|
|
|
|
|
|
596
|
|
|
|
|
|
|
sub _fmt_dur { |
|
597
|
0
|
|
|
0
|
|
0
|
my ($dur) = @_; |
|
598
|
0
|
|
|
|
|
0
|
my $hr = floor($dur); |
|
599
|
0
|
|
|
|
|
0
|
$dur -= $hr; |
|
600
|
0
|
|
|
|
|
0
|
$dur *= 60; |
|
601
|
0
|
|
|
|
|
0
|
my $mn = floor($dur); |
|
602
|
0
|
|
|
|
|
0
|
$dur -= $mn; |
|
603
|
0
|
|
|
|
|
0
|
$dur *= 60; |
|
604
|
0
|
|
|
|
|
0
|
my $sc = floor($dur); |
|
605
|
0
|
|
|
|
|
0
|
return sprintf("%02d h %02d mn %02d s", $hr, $mn, $sc); |
|
606
|
|
|
|
|
|
|
} |
|
607
|
|
|
|
|
|
|
|
|
608
|
|
|
|
|
|
|
|
|
609
|
|
|
|
|
|
|
sub DEFAULT () { -0.833 } |
|
610
|
|
|
|
|
|
|
sub CIVIL () { - 6 } |
|
611
|
|
|
|
|
|
|
sub NAUTICAL () { -12 } |
|
612
|
|
|
|
|
|
|
sub AMATEUR () { -15 } |
|
613
|
|
|
|
|
|
|
sub ASTRONOMICAL () { -18 } |
|
614
|
|
|
|
|
|
|
|
|
615
|
|
|
|
|
|
|
# Ending a module with whatever, which risks to be zero, is wrong. |
|
616
|
|
|
|
|
|
|
# Ending a module with 1 is boring. So, let us end it with: |
|
617
|
|
|
|
|
|
|
1950; |
|
618
|
|
|
|
|
|
|
# Hint: directed by BW, with GS, WH and EVS |
|
619
|
|
|
|
|
|
|
|
|
620
|
|
|
|
|
|
|
__END__ |
|
621
|
|
|
|
|
|
|
|
|
622
|
|
|
|
|
|
|
=encoding utf8 |
|
623
|
|
|
|
|
|
|
|
|
624
|
|
|
|
|
|
|
=head1 NAME |
|
625
|
|
|
|
|
|
|
|
|
626
|
|
|
|
|
|
|
Astro::Sunrise - Perl extension for computing the sunrise/sunset on a given day |
|
627
|
|
|
|
|
|
|
|
|
628
|
|
|
|
|
|
|
=head1 VERSION |
|
629
|
|
|
|
|
|
|
|
|
630
|
|
|
|
|
|
|
This documentation refers to C<Astro::Sunrise> version 0.98. |
|
631
|
|
|
|
|
|
|
|
|
632
|
|
|
|
|
|
|
=head1 SYNOPSIS |
|
633
|
|
|
|
|
|
|
|
|
634
|
|
|
|
|
|
|
# When did the sun rise on YAPC::Europe 2015? |
|
635
|
|
|
|
|
|
|
use Astro::Sunrise; |
|
636
|
|
|
|
|
|
|
my ($sunrise, $sunset) = sunrise( { year => 2015, month => 9, day => 2, # YAPC::EU starts on 2nd September 2015 |
|
637
|
|
|
|
|
|
|
lon => -3.6, lat => 37.17, # Granada is 37°10'N, 3°36'W |
|
638
|
|
|
|
|
|
|
tz => 1, isdst => 1 } ); # This is still summer, therefore DST |
|
639
|
|
|
|
|
|
|
|
|
640
|
|
|
|
|
|
|
# When does the sun rise today in Salt Lake City (home to YAPC::NA 2015)? |
|
641
|
|
|
|
|
|
|
use Astro::Sunrise; |
|
642
|
|
|
|
|
|
|
use DateTime; |
|
643
|
|
|
|
|
|
|
$sunrise_today = sun_rise( { lon => -111.88, lat => 40.75 } ); # 40°45'N, 111°53'W |
|
644
|
|
|
|
|
|
|
|
|
645
|
|
|
|
|
|
|
# And when does it set tomorrow at Salt Lake City? |
|
646
|
|
|
|
|
|
|
use Astro::Sunrise; |
|
647
|
|
|
|
|
|
|
use DateTime; |
|
648
|
|
|
|
|
|
|
$sunset_tomorrow = sun_set( { lat => 40.75, # 40°45'N, |
|
649
|
|
|
|
|
|
|
lon => -111.88, # 111°53'W |
|
650
|
|
|
|
|
|
|
alt => -0.833, # standard value for the sun altitude at sunset |
|
651
|
|
|
|
|
|
|
offset => 1 } ); # day offset up to tomorrow |
|
652
|
|
|
|
|
|
|
|
|
653
|
|
|
|
|
|
|
=head1 DESCRIPTION |
|
654
|
|
|
|
|
|
|
|
|
655
|
|
|
|
|
|
|
This module will return the sunrise and sunset for a given day. |
|
656
|
|
|
|
|
|
|
|
|
657
|
|
|
|
|
|
|
Months are numbered 1 to 12, in the usual way, not 0 to 11 as in |
|
658
|
|
|
|
|
|
|
C and in Perl's localtime. |
|
659
|
|
|
|
|
|
|
|
|
660
|
|
|
|
|
|
|
Eastern longitude is entered as a positive number |
|
661
|
|
|
|
|
|
|
Western longitude is entered as a negative number |
|
662
|
|
|
|
|
|
|
Northern latitude is entered as a positive number |
|
663
|
|
|
|
|
|
|
Southern latitude is entered as a negative number |
|
664
|
|
|
|
|
|
|
|
|
665
|
|
|
|
|
|
|
Please note that, when given as positional parameters, the longitude is specified before the |
|
666
|
|
|
|
|
|
|
latitude. |
|
667
|
|
|
|
|
|
|
|
|
668
|
|
|
|
|
|
|
The time zone is given as the numeric value of the offset from UTC. |
|
669
|
|
|
|
|
|
|
|
|
670
|
|
|
|
|
|
|
The C<precise> parameter is set to either 0 or 1. |
|
671
|
|
|
|
|
|
|
If set to 0 no Iteration will occur. |
|
672
|
|
|
|
|
|
|
If set to 1 Iteration will occur, which will give a more precise result. |
|
673
|
|
|
|
|
|
|
Default is 0. |
|
674
|
|
|
|
|
|
|
|
|
675
|
|
|
|
|
|
|
There are a number of sun altitudes to chose from. The default is |
|
676
|
|
|
|
|
|
|
-0.833 because this is what most countries use. Feel free to |
|
677
|
|
|
|
|
|
|
specify it if you need to. Here is the list of values to specify |
|
678
|
|
|
|
|
|
|
altitude (ALT) with, including symbolic constants for each. |
|
679
|
|
|
|
|
|
|
|
|
680
|
|
|
|
|
|
|
=over |
|
681
|
|
|
|
|
|
|
|
|
682
|
|
|
|
|
|
|
=item B<0> degrees |
|
683
|
|
|
|
|
|
|
|
|
684
|
|
|
|
|
|
|
Center of Sun's disk touches a mathematical horizon |
|
685
|
|
|
|
|
|
|
|
|
686
|
|
|
|
|
|
|
=item B<-0.25> degrees |
|
687
|
|
|
|
|
|
|
|
|
688
|
|
|
|
|
|
|
Sun's upper limb touches a mathematical horizon |
|
689
|
|
|
|
|
|
|
|
|
690
|
|
|
|
|
|
|
=item B<-0.583> degrees |
|
691
|
|
|
|
|
|
|
|
|
692
|
|
|
|
|
|
|
Center of Sun's disk touches the horizon; atmospheric refraction accounted for |
|
693
|
|
|
|
|
|
|
|
|
694
|
|
|
|
|
|
|
=item B<-0.833> degrees, DEFAULT |
|
695
|
|
|
|
|
|
|
|
|
696
|
|
|
|
|
|
|
Sun's upper limb touches the horizon; atmospheric refraction accounted for |
|
697
|
|
|
|
|
|
|
|
|
698
|
|
|
|
|
|
|
=item B<-6> degrees, CIVIL |
|
699
|
|
|
|
|
|
|
|
|
700
|
|
|
|
|
|
|
Civil twilight (one can no longer read outside without artificial illumination) |
|
701
|
|
|
|
|
|
|
|
|
702
|
|
|
|
|
|
|
=item B<-12> degrees, NAUTICAL |
|
703
|
|
|
|
|
|
|
|
|
704
|
|
|
|
|
|
|
Nautical twilight (navigation using a sea horizon no longer possible) |
|
705
|
|
|
|
|
|
|
|
|
706
|
|
|
|
|
|
|
=item B<-15> degrees, AMATEUR |
|
707
|
|
|
|
|
|
|
|
|
708
|
|
|
|
|
|
|
Amateur astronomical twilight (the sky is dark enough for most astronomical observations) |
|
709
|
|
|
|
|
|
|
|
|
710
|
|
|
|
|
|
|
=item B<-18> degrees, ASTRONOMICAL |
|
711
|
|
|
|
|
|
|
|
|
712
|
|
|
|
|
|
|
Astronomical twilight (the sky is completely dark) |
|
713
|
|
|
|
|
|
|
|
|
714
|
|
|
|
|
|
|
=back |
|
715
|
|
|
|
|
|
|
|
|
716
|
|
|
|
|
|
|
=head1 USAGE |
|
717
|
|
|
|
|
|
|
|
|
718
|
|
|
|
|
|
|
=head2 B<sunrise> |
|
719
|
|
|
|
|
|
|
|
|
720
|
|
|
|
|
|
|
($sunrise, $sunset) = sunrise( { year => $year, month => $month, |
|
721
|
|
|
|
|
|
|
day => $day, |
|
722
|
|
|
|
|
|
|
lon => $longitude, lat => $latitude, |
|
723
|
|
|
|
|
|
|
tz => $tz_offset, isdst => $is_dst, |
|
724
|
|
|
|
|
|
|
alt => $altitude, upper_limb => $upper_limb, |
|
725
|
|
|
|
|
|
|
precise => $precise, polar => $action, |
|
726
|
|
|
|
|
|
|
trace => $fh } ); |
|
727
|
|
|
|
|
|
|
|
|
728
|
|
|
|
|
|
|
($sunrise, $sunset) = sunrise(YYYY,MM,DD,longitude,latitude,Time Zone,DST); |
|
729
|
|
|
|
|
|
|
|
|
730
|
|
|
|
|
|
|
($sunrise, $sunset) = sunrise(YYYY,MM,DD,longitude,latitude,Time Zone,DST,ALT); |
|
731
|
|
|
|
|
|
|
|
|
732
|
|
|
|
|
|
|
($sunrise, $sunset) = sunrise(YYYY,MM,DD,longitude,latitude,Time Zone,DST,ALT,precise); |
|
733
|
|
|
|
|
|
|
|
|
734
|
|
|
|
|
|
|
Returns the sunrise and sunset times, in HH:MM format. |
|
735
|
|
|
|
|
|
|
|
|
736
|
|
|
|
|
|
|
The first form uses a hash reference to pass arguments by name. |
|
737
|
|
|
|
|
|
|
The other forms are kept for backward compatibility. The arguments are: |
|
738
|
|
|
|
|
|
|
|
|
739
|
|
|
|
|
|
|
=over 4 |
|
740
|
|
|
|
|
|
|
|
|
741
|
|
|
|
|
|
|
=item year, month, day |
|
742
|
|
|
|
|
|
|
|
|
743
|
|
|
|
|
|
|
The three elements of the date for which you want to compute the sunrise and sunset. |
|
744
|
|
|
|
|
|
|
Months are numbered 1 to 12, in the usual way, not 0 to 11 as in C and in Perl's localtime. |
|
745
|
|
|
|
|
|
|
|
|
746
|
|
|
|
|
|
|
Mandatory, can be positional (#1, #2 and #3). |
|
747
|
|
|
|
|
|
|
|
|
748
|
|
|
|
|
|
|
=item lon, lat |
|
749
|
|
|
|
|
|
|
|
|
750
|
|
|
|
|
|
|
The longitude and latitude of the place for which you want to compute the sunrise and sunset. |
|
751
|
|
|
|
|
|
|
They are given in decimal degrees. For example: |
|
752
|
|
|
|
|
|
|
|
|
753
|
|
|
|
|
|
|
lon => -3.6, # 3° 36' W |
|
754
|
|
|
|
|
|
|
lat => 37.17, # 37° 10' N |
|
755
|
|
|
|
|
|
|
|
|
756
|
|
|
|
|
|
|
Eastern longitude is entered as a positive number |
|
757
|
|
|
|
|
|
|
Western longitude is entered as a negative number |
|
758
|
|
|
|
|
|
|
Northern latitude is entered as a positive number |
|
759
|
|
|
|
|
|
|
Southern latitude is entered as a negative number |
|
760
|
|
|
|
|
|
|
|
|
761
|
|
|
|
|
|
|
Mandatory, can be positional (#4 and #5). |
|
762
|
|
|
|
|
|
|
|
|
763
|
|
|
|
|
|
|
=item tz |
|
764
|
|
|
|
|
|
|
|
|
765
|
|
|
|
|
|
|
Time Zone is the offset from GMT |
|
766
|
|
|
|
|
|
|
|
|
767
|
|
|
|
|
|
|
Mandatory, can be positional (#6). |
|
768
|
|
|
|
|
|
|
|
|
769
|
|
|
|
|
|
|
=item isdst |
|
770
|
|
|
|
|
|
|
|
|
771
|
|
|
|
|
|
|
1 if daylight saving time is in effect, 0 if not. |
|
772
|
|
|
|
|
|
|
|
|
773
|
|
|
|
|
|
|
Mandatory, can be positional (#7). |
|
774
|
|
|
|
|
|
|
|
|
775
|
|
|
|
|
|
|
=item alt |
|
776
|
|
|
|
|
|
|
|
|
777
|
|
|
|
|
|
|
Altitude of the sun, in decimal degrees. Usually a negative number, |
|
778
|
|
|
|
|
|
|
because the sun should be I<under> the mathematical horizon. |
|
779
|
|
|
|
|
|
|
But if there is a high mountain range sunward (that is, southward if you |
|
780
|
|
|
|
|
|
|
live in the Northern hemisphere), you may need to enter a positive altitude. |
|
781
|
|
|
|
|
|
|
|
|
782
|
|
|
|
|
|
|
This parameter is optional. Its default value is -0.833. It can be positional (#8). |
|
783
|
|
|
|
|
|
|
|
|
784
|
|
|
|
|
|
|
=item upper_limb |
|
785
|
|
|
|
|
|
|
|
|
786
|
|
|
|
|
|
|
If this parameter set to a true value (usually 1), the algorithm computes |
|
787
|
|
|
|
|
|
|
the sun apparent radius and takes it into account when computing the sun |
|
788
|
|
|
|
|
|
|
altitude. This parameter is useful only when the C<alt> parameter is set |
|
789
|
|
|
|
|
|
|
to C<0> or C<-0.583> degrees. When using C<-0.25> or C<-0.833> degrees, |
|
790
|
|
|
|
|
|
|
the sun radius is already taken into account. When computing twilights |
|
791
|
|
|
|
|
|
|
(C<-6> to C<-18>), the sun radius is irrelevant. |
|
792
|
|
|
|
|
|
|
|
|
793
|
|
|
|
|
|
|
Since the default value for the C<alt> parameter is -0.833, the |
|
794
|
|
|
|
|
|
|
default value for C<upper_limb> is 0. |
|
795
|
|
|
|
|
|
|
|
|
796
|
|
|
|
|
|
|
This parameter is optional and it can be specified only by keyword. |
|
797
|
|
|
|
|
|
|
|
|
798
|
|
|
|
|
|
|
=item polar |
|
799
|
|
|
|
|
|
|
|
|
800
|
|
|
|
|
|
|
When dealing with a polar location, there may be dates where there is |
|
801
|
|
|
|
|
|
|
a polar night (sun never rises) or a polar day. The default behaviour of |
|
802
|
|
|
|
|
|
|
the module is to emit a warning in these cases ("Sun never rises!!" |
|
803
|
|
|
|
|
|
|
or "Sun never sets!!"). But some programmers may find this inconvenient. |
|
804
|
|
|
|
|
|
|
An alternate behaviour is to return special values reflecting the |
|
805
|
|
|
|
|
|
|
situation. |
|
806
|
|
|
|
|
|
|
|
|
807
|
|
|
|
|
|
|
So, if the C<polar> parameter is set to C<'warn'>, the module emits |
|
808
|
|
|
|
|
|
|
a warning. If the C<polar> parameter is set to C<'retval'>, the |
|
809
|
|
|
|
|
|
|
module emits no warning, but it returns either C<'day'> or C<'night'>. |
|
810
|
|
|
|
|
|
|
|
|
811
|
|
|
|
|
|
|
Example: |
|
812
|
|
|
|
|
|
|
|
|
813
|
|
|
|
|
|
|
# Loosely based on Alex Gough's activities: scientist and Perl programmer, who spent a year |
|
814
|
|
|
|
|
|
|
# in Halley Base in 2006. Let us suppose he arrived there on 15th January 2006. |
|
815
|
|
|
|
|
|
|
my ($sunrise, $sunset) = sunrise( { year => 2006, month => 1, day => 15, |
|
816
|
|
|
|
|
|
|
lon => -26.65, lat => -75.58, # Halley Base: 75°35'S 26°39'W |
|
817
|
|
|
|
|
|
|
tz => 3, polar => 'retval' } ); |
|
818
|
|
|
|
|
|
|
if ($sunrise eq 'day') { |
|
819
|
|
|
|
|
|
|
say "Alex Gough saw the midnight sun the first day he arrived at Halley Base"; |
|
820
|
|
|
|
|
|
|
} |
|
821
|
|
|
|
|
|
|
elsif ($sunrise eq 'night') { |
|
822
|
|
|
|
|
|
|
say "It would be days, maybe weeks, before the sun would rise."; |
|
823
|
|
|
|
|
|
|
} |
|
824
|
|
|
|
|
|
|
else { |
|
825
|
|
|
|
|
|
|
say "Alex saw his first antarctic sunset at $sunset"; |
|
826
|
|
|
|
|
|
|
} |
|
827
|
|
|
|
|
|
|
|
|
828
|
|
|
|
|
|
|
This parameter is optional and it can be specified only by keyword. |
|
829
|
|
|
|
|
|
|
|
|
830
|
|
|
|
|
|
|
=item trace |
|
831
|
|
|
|
|
|
|
|
|
832
|
|
|
|
|
|
|
This parameter should either be a false value or a filehandle opened for output. |
|
833
|
|
|
|
|
|
|
In the latter case, a few messages are printed to the filehandle, which allows |
|
834
|
|
|
|
|
|
|
the programmer to see step by step how the sunrise and the sunset are computed. |
|
835
|
|
|
|
|
|
|
|
|
836
|
|
|
|
|
|
|
Used for analysis and debugging purposes. You need to read the text |
|
837
|
|
|
|
|
|
|
F<doc/astronomical-notes.pod> to understand what the traced values |
|
838
|
|
|
|
|
|
|
represent. |
|
839
|
|
|
|
|
|
|
|
|
840
|
|
|
|
|
|
|
This parameter is optional and it can be specified only by keyword. |
|
841
|
|
|
|
|
|
|
|
|
842
|
|
|
|
|
|
|
=item precise |
|
843
|
|
|
|
|
|
|
|
|
844
|
|
|
|
|
|
|
Choice between a precise algorithm and a simpler algorithm. |
|
845
|
|
|
|
|
|
|
The default value is 0, that is, the simpler algorithm. |
|
846
|
|
|
|
|
|
|
Any true value switches to the precise algorithm. |
|
847
|
|
|
|
|
|
|
|
|
848
|
|
|
|
|
|
|
The original method only gives an approximate value of the Sun's rise/set times. |
|
849
|
|
|
|
|
|
|
The error rarely exceeds one or two minutes, but at high latitudes, when the Midnight Sun |
|
850
|
|
|
|
|
|
|
soon will start or just has ended, the errors may be much larger. If you want higher accuracy, |
|
851
|
|
|
|
|
|
|
you must then use the precise algorithm. This feature is new as of version 0.7. Here is |
|
852
|
|
|
|
|
|
|
what I have tried to accomplish with this. |
|
853
|
|
|
|
|
|
|
|
|
854
|
|
|
|
|
|
|
a) Compute sunrise or sunset as always, with one exception: to convert LHA from degrees to hours, |
|
855
|
|
|
|
|
|
|
divide by 15.04107 instead of 15.0 (this accounts for the difference between the solar day |
|
856
|
|
|
|
|
|
|
and the sidereal day). |
|
857
|
|
|
|
|
|
|
|
|
858
|
|
|
|
|
|
|
b) Re-do the computation but compute the Sun's RA and Decl, and also GMST0, for the moment |
|
859
|
|
|
|
|
|
|
of sunrise or sunset last computed. |
|
860
|
|
|
|
|
|
|
|
|
861
|
|
|
|
|
|
|
c) Iterate b) until the computed sunrise or sunset no longer changes significantly. |
|
862
|
|
|
|
|
|
|
Usually 2 iterations are enough, in rare cases 3 or 4 iterations may be needed. |
|
863
|
|
|
|
|
|
|
|
|
864
|
|
|
|
|
|
|
This parameter is optional. It can be positional (#9). |
|
865
|
|
|
|
|
|
|
|
|
866
|
|
|
|
|
|
|
=back |
|
867
|
|
|
|
|
|
|
|
|
868
|
|
|
|
|
|
|
=head3 I<For Example> |
|
869
|
|
|
|
|
|
|
|
|
870
|
|
|
|
|
|
|
($sunrise, $sunset) = sunrise( 2001, 3, 10, 17.384, 98.625, -5, 0 ); |
|
871
|
|
|
|
|
|
|
($sunrise, $sunset) = sunrise( 2002, 10, 14, -105.181, 41.324, -7, 1, -18); |
|
872
|
|
|
|
|
|
|
($sunrise, $sunset) = sunrise( 2002, 10, 14, -105.181, 41.324, -7, 1, -18, 1); |
|
873
|
|
|
|
|
|
|
|
|
874
|
|
|
|
|
|
|
=head2 B<sun_rise>, B<sun_set> |
|
875
|
|
|
|
|
|
|
|
|
876
|
|
|
|
|
|
|
$sun_rise = sun_rise( { lon => $longitude, lat => $latitude, |
|
877
|
|
|
|
|
|
|
alt => $altitude, upper_limb => $bool, |
|
878
|
|
|
|
|
|
|
offset => $day_offset, |
|
879
|
|
|
|
|
|
|
precise => $bool_precise, polar => $action } ); |
|
880
|
|
|
|
|
|
|
$sun_set = sun_set ( { lon => $longitude, lat => $latitude, |
|
881
|
|
|
|
|
|
|
alt => $altitude, upper_limb => $bool, |
|
882
|
|
|
|
|
|
|
offset => $day_offset, |
|
883
|
|
|
|
|
|
|
precise => $bool_precise, polar => $action } ); |
|
884
|
|
|
|
|
|
|
$sun_rise = sun_rise( $longitude, $latitude ); |
|
885
|
|
|
|
|
|
|
$sun_rise = sun_rise( $longitude, $latitude, $alt ); |
|
886
|
|
|
|
|
|
|
$sun_rise = sun_rise( $longitude, $latitude, $alt, $day_offset ); |
|
887
|
|
|
|
|
|
|
|
|
888
|
|
|
|
|
|
|
Returns the sun rise time (resp. the sun set time) for the given location |
|
889
|
|
|
|
|
|
|
and for today's date (as given by DateTime), plus or minus some offset in days. |
|
890
|
|
|
|
|
|
|
The first form use all parameters and transmit them by name. The second form |
|
891
|
|
|
|
|
|
|
uses today's date (from DateTime) and the default altitude. The third |
|
892
|
|
|
|
|
|
|
form adds specifying a custom altitude. The fourth form allows for specifying |
|
893
|
|
|
|
|
|
|
an integer day offset from today, either positive or negative. |
|
894
|
|
|
|
|
|
|
|
|
895
|
|
|
|
|
|
|
The parameters are the same as the parameters for C<sunrise>. There is an additional |
|
896
|
|
|
|
|
|
|
parameter, C<offset>, which allows using a date other than today: C<+1> for |
|
897
|
|
|
|
|
|
|
to-morrow, C<-7> for one week ago, etc. |
|
898
|
|
|
|
|
|
|
|
|
899
|
|
|
|
|
|
|
The arguments are: |
|
900
|
|
|
|
|
|
|
|
|
901
|
|
|
|
|
|
|
=over 4 |
|
902
|
|
|
|
|
|
|
|
|
903
|
|
|
|
|
|
|
=item lon, lat |
|
904
|
|
|
|
|
|
|
|
|
905
|
|
|
|
|
|
|
The longitude and latitude of the place for which you want to compute the sunrise and sunset. |
|
906
|
|
|
|
|
|
|
They are given in decimal degrees. For example: |
|
907
|
|
|
|
|
|
|
|
|
908
|
|
|
|
|
|
|
lon => -3.6, # 3° 36' W |
|
909
|
|
|
|
|
|
|
lat => 37.17, # 37° 10' N |
|
910
|
|
|
|
|
|
|
|
|
911
|
|
|
|
|
|
|
Eastern longitude is entered as a positive number |
|
912
|
|
|
|
|
|
|
Western longitude is entered as a negative number |
|
913
|
|
|
|
|
|
|
Northern latitude is entered as a positive number |
|
914
|
|
|
|
|
|
|
Southern latitude is entered as a negative number |
|
915
|
|
|
|
|
|
|
|
|
916
|
|
|
|
|
|
|
Mandatory, can be positional (#1 and #2). |
|
917
|
|
|
|
|
|
|
|
|
918
|
|
|
|
|
|
|
=item alt |
|
919
|
|
|
|
|
|
|
|
|
920
|
|
|
|
|
|
|
Altitude of the sun, in decimal degrees. Usually a negative number, |
|
921
|
|
|
|
|
|
|
because the sun should be I<under> the mathematical horizon. |
|
922
|
|
|
|
|
|
|
But if there is a high mountain range sunward (that is, southward if you |
|
923
|
|
|
|
|
|
|
live in the Northern hemisphere), you may need to enter a positive altitude. |
|
924
|
|
|
|
|
|
|
|
|
925
|
|
|
|
|
|
|
This parameter is optional. Its default value is -0.833. It can be positional (#3). |
|
926
|
|
|
|
|
|
|
|
|
927
|
|
|
|
|
|
|
=item offset |
|
928
|
|
|
|
|
|
|
|
|
929
|
|
|
|
|
|
|
By default, C<sun_rise> and C<sun_set> use the current day. If you need another |
|
930
|
|
|
|
|
|
|
day, you give an offset relative to the current day. For example, C<+7> means |
|
931
|
|
|
|
|
|
|
next week, while C<-365> means last year. |
|
932
|
|
|
|
|
|
|
|
|
933
|
|
|
|
|
|
|
This parameter has nothing to do with timezones. |
|
934
|
|
|
|
|
|
|
|
|
935
|
|
|
|
|
|
|
Optional, 0 by default, can be positional (#4). |
|
936
|
|
|
|
|
|
|
|
|
937
|
|
|
|
|
|
|
=item time_zone |
|
938
|
|
|
|
|
|
|
|
|
939
|
|
|
|
|
|
|
Time Zone is the Olson name for a timezone. By default, the functions |
|
940
|
|
|
|
|
|
|
C<sun_rise> and C<sun_set> will try to use the C<local> timezone. |
|
941
|
|
|
|
|
|
|
|
|
942
|
|
|
|
|
|
|
This parameter is optional and it can be specified only by keyword. |
|
943
|
|
|
|
|
|
|
|
|
944
|
|
|
|
|
|
|
=item upper_limb |
|
945
|
|
|
|
|
|
|
|
|
946
|
|
|
|
|
|
|
If this parameter set to a true value (usually 1), the algorithm computes |
|
947
|
|
|
|
|
|
|
the sun apparent radius and takes it into account when computing the sun |
|
948
|
|
|
|
|
|
|
altitude. This parameter is useful only when the C<alt> parameter is set |
|
949
|
|
|
|
|
|
|
to C<0> or C<-0.583> degrees. When using C<-0.25> or C<-0.833> degrees, |
|
950
|
|
|
|
|
|
|
the sun radius is already taken into account. When computing twilights |
|
951
|
|
|
|
|
|
|
(C<-6> to C<-18>), the sun radius is irrelevant. |
|
952
|
|
|
|
|
|
|
|
|
953
|
|
|
|
|
|
|
Since the default value for the C<alt> parameter is -0.833, the |
|
954
|
|
|
|
|
|
|
default value for C<upper_limb> is 0. |
|
955
|
|
|
|
|
|
|
|
|
956
|
|
|
|
|
|
|
This parameter is optional and it can be specified only by keyword. |
|
957
|
|
|
|
|
|
|
|
|
958
|
|
|
|
|
|
|
=item polar |
|
959
|
|
|
|
|
|
|
|
|
960
|
|
|
|
|
|
|
When dealing with a polar location, there may be dates where there is |
|
961
|
|
|
|
|
|
|
a polar night (sun never rises) or a polar day. The default behaviour of |
|
962
|
|
|
|
|
|
|
the module is to emit a warning in these cases ("Sun never rises!!" |
|
963
|
|
|
|
|
|
|
or "Sun never sets!!"). But some programmers may find this inconvenient. |
|
964
|
|
|
|
|
|
|
An alternate behaviour is to return special values reflecting the |
|
965
|
|
|
|
|
|
|
situation. |
|
966
|
|
|
|
|
|
|
|
|
967
|
|
|
|
|
|
|
So, if the C<polar> parameter is set to C<'warn'>, the module emits |
|
968
|
|
|
|
|
|
|
a warning. If the C<polar> parameter is set to C<'retval'>, the |
|
969
|
|
|
|
|
|
|
module emits no warning, but it returns either C<'day'> or C<'night'>. |
|
970
|
|
|
|
|
|
|
|
|
971
|
|
|
|
|
|
|
This parameter is optional and it can be specified only by keyword. |
|
972
|
|
|
|
|
|
|
|
|
973
|
|
|
|
|
|
|
=item trace |
|
974
|
|
|
|
|
|
|
|
|
975
|
|
|
|
|
|
|
This parameter should either be a false value or a filehandle opened for output. |
|
976
|
|
|
|
|
|
|
In the latter case, a few messages are printed to the filehandle, which allows |
|
977
|
|
|
|
|
|
|
the programmer to see step by step how the sunrise and the sunset are computed. |
|
978
|
|
|
|
|
|
|
|
|
979
|
|
|
|
|
|
|
Used for analysis and debugging purposes. |
|
980
|
|
|
|
|
|
|
|
|
981
|
|
|
|
|
|
|
This parameter is optional and it can be specified only by keyword. |
|
982
|
|
|
|
|
|
|
|
|
983
|
|
|
|
|
|
|
=item precise |
|
984
|
|
|
|
|
|
|
|
|
985
|
|
|
|
|
|
|
Choice between a precise algorithm and a simpler algorithm. |
|
986
|
|
|
|
|
|
|
The default value is 0, that is, the simpler algorithm. |
|
987
|
|
|
|
|
|
|
Any true value switches to the precise algorithm. |
|
988
|
|
|
|
|
|
|
|
|
989
|
|
|
|
|
|
|
For more documentation, see the corresponding parameter |
|
990
|
|
|
|
|
|
|
for the C<sunrise> function. |
|
991
|
|
|
|
|
|
|
|
|
992
|
|
|
|
|
|
|
This parameter is optional and it can be specified only by keyword. |
|
993
|
|
|
|
|
|
|
|
|
994
|
|
|
|
|
|
|
=back |
|
995
|
|
|
|
|
|
|
|
|
996
|
|
|
|
|
|
|
=head3 For Example |
|
997
|
|
|
|
|
|
|
|
|
998
|
|
|
|
|
|
|
$sunrise = sun_rise( -105.181, 41.324 ); |
|
999
|
|
|
|
|
|
|
$sunrise = sun_rise( -105.181, 41.324, -15 ); |
|
1000
|
|
|
|
|
|
|
$sunrise = sun_rise( -105.181, 41.324, -12, +3 ); |
|
1001
|
|
|
|
|
|
|
$sunrise = sun_rise( -105.181, 41.324, undef, -12); |
|
1002
|
|
|
|
|
|
|
|
|
1003
|
|
|
|
|
|
|
=head2 Trigonometric functions using degrees |
|
1004
|
|
|
|
|
|
|
|
|
1005
|
|
|
|
|
|
|
Since the module use trigonometry with degrees, the corresponding functions |
|
1006
|
|
|
|
|
|
|
are available to the module user, free of charge. Just mention the |
|
1007
|
|
|
|
|
|
|
tag C<:trig> in the C<use> statement. These functions are: |
|
1008
|
|
|
|
|
|
|
|
|
1009
|
|
|
|
|
|
|
=over 4 |
|
1010
|
|
|
|
|
|
|
|
|
1011
|
|
|
|
|
|
|
=item sind, cosd, tand |
|
1012
|
|
|
|
|
|
|
|
|
1013
|
|
|
|
|
|
|
The direct functions, that is, sine, cosine and tangent functions, respectively. |
|
1014
|
|
|
|
|
|
|
Each one receives one parameter, in degrees, and returns the trigonometric value. |
|
1015
|
|
|
|
|
|
|
|
|
1016
|
|
|
|
|
|
|
=item asind, acosd, atand |
|
1017
|
|
|
|
|
|
|
|
|
1018
|
|
|
|
|
|
|
The reverse functions, that is, arc-sine, arc-cosine, and arc-tangent. |
|
1019
|
|
|
|
|
|
|
Each one receives one parameter, the trigonometric value, and returns the corresponding |
|
1020
|
|
|
|
|
|
|
angle in degrees. |
|
1021
|
|
|
|
|
|
|
|
|
1022
|
|
|
|
|
|
|
=item atan2d |
|
1023
|
|
|
|
|
|
|
|
|
1024
|
|
|
|
|
|
|
Arc-tangent. This function receives two parameters: the numerator and the denominator |
|
1025
|
|
|
|
|
|
|
of a fraction equal to the tangent. Use this function instead of C<atand> when you |
|
1026
|
|
|
|
|
|
|
are not sure the denominator is not zero. E.g.: |
|
1027
|
|
|
|
|
|
|
|
|
1028
|
|
|
|
|
|
|
use Astro::Sunrise qw(:trig); |
|
1029
|
|
|
|
|
|
|
say atan2d(1, 2) # prints 26,5 |
|
1030
|
|
|
|
|
|
|
say atan2d(1, 0) # prints 90, without triggering a "division by zero" error |
|
1031
|
|
|
|
|
|
|
|
|
1032
|
|
|
|
|
|
|
=item equal |
|
1033
|
|
|
|
|
|
|
|
|
1034
|
|
|
|
|
|
|
Not really a trigonometrical function, but still useful at some times. This function |
|
1035
|
|
|
|
|
|
|
receives two floating values and an integer value. It compares the floating numbers, |
|
1036
|
|
|
|
|
|
|
and returns "1" if their most significant digits are equal. The integer value |
|
1037
|
|
|
|
|
|
|
specifies how many digits are kept. E.g. |
|
1038
|
|
|
|
|
|
|
|
|
1039
|
|
|
|
|
|
|
say equal(22/7, 355/113, 3) # prints 1, because : 22/7 = 3.14285715286 rounded to 3.14 |
|
1040
|
|
|
|
|
|
|
# 355/113 = 3.14159292035 rounded to 3.14 |
|
1041
|
|
|
|
|
|
|
say equal(22/7, 355/113, 4) # prints 0, because : 22/7 = 3.14285715286 rounded to 3.143 |
|
1042
|
|
|
|
|
|
|
# 355/113 = 3.14159292035 rounded to 3.142 |
|
1043
|
|
|
|
|
|
|
|
|
1044
|
|
|
|
|
|
|
=back |
|
1045
|
|
|
|
|
|
|
|
|
1046
|
|
|
|
|
|
|
=head1 EXPORTS |
|
1047
|
|
|
|
|
|
|
|
|
1048
|
|
|
|
|
|
|
By default, the functions C<sunrise>, C<sun_rise> and C<sun_set> are exported. |
|
1049
|
|
|
|
|
|
|
|
|
1050
|
|
|
|
|
|
|
The constants C<DEFAULT>, C<CIVIL>, C<NAUTICAL>, C<AMATEUR> and C<ASTRONOMICAL> are |
|
1051
|
|
|
|
|
|
|
exported on request with the tag C<:constants>. |
|
1052
|
|
|
|
|
|
|
|
|
1053
|
|
|
|
|
|
|
The functions C<sind>, C<cosd>, C<tand>, C<asind>, C<acosd>, C<atand>, C<atan2d> and C<equal> |
|
1054
|
|
|
|
|
|
|
exported on request with the tag C<:trig>. |
|
1055
|
|
|
|
|
|
|
|
|
1056
|
|
|
|
|
|
|
=head1 DEPENDENCIES |
|
1057
|
|
|
|
|
|
|
|
|
1058
|
|
|
|
|
|
|
This module requires only core modules: L<POSIX>, L<Math::Trig> and L<Carp>. |
|
1059
|
|
|
|
|
|
|
|
|
1060
|
|
|
|
|
|
|
If you use the C<sun_rise> and C<sun_set> functions, you will need also L<DateTime>. |
|
1061
|
|
|
|
|
|
|
|
|
1062
|
|
|
|
|
|
|
=head1 AUTHOR |
|
1063
|
|
|
|
|
|
|
|
|
1064
|
|
|
|
|
|
|
Ron Hill |
|
1065
|
|
|
|
|
|
|
rkhill@firstlight.net |
|
1066
|
|
|
|
|
|
|
|
|
1067
|
|
|
|
|
|
|
Co-maintainer: Jean Forget (JFORGET at cpan dot org) |
|
1068
|
|
|
|
|
|
|
|
|
1069
|
|
|
|
|
|
|
=head1 SPECIAL THANKS |
|
1070
|
|
|
|
|
|
|
|
|
1071
|
|
|
|
|
|
|
Robert Creager [Astro-Sunrise@LogicalChaos.org] |
|
1072
|
|
|
|
|
|
|
for providing help with converting Paul's C code to Perl, |
|
1073
|
|
|
|
|
|
|
for providing code for sun_rise, sun_set subs. |
|
1074
|
|
|
|
|
|
|
Also adding options for different altitudes. |
|
1075
|
|
|
|
|
|
|
|
|
1076
|
|
|
|
|
|
|
Joshua Hoblitt [jhoblitt@ifa.hawaii.edu] |
|
1077
|
|
|
|
|
|
|
for providing the patch to convert to DateTime. |
|
1078
|
|
|
|
|
|
|
|
|
1079
|
|
|
|
|
|
|
Chris Phillips for providing patch for conversion to |
|
1080
|
|
|
|
|
|
|
local time. |
|
1081
|
|
|
|
|
|
|
|
|
1082
|
|
|
|
|
|
|
Brian D Foy for providing patch for constants :) |
|
1083
|
|
|
|
|
|
|
|
|
1084
|
|
|
|
|
|
|
Gabor Szabo for pointing POD mistakes. |
|
1085
|
|
|
|
|
|
|
|
|
1086
|
|
|
|
|
|
|
People at L<https://geocoder.opencagedata.com/> for noticing an endless |
|
1087
|
|
|
|
|
|
|
loop condition and for fixing it. |
|
1088
|
|
|
|
|
|
|
|
|
1089
|
|
|
|
|
|
|
=head1 CREDITS |
|
1090
|
|
|
|
|
|
|
|
|
1091
|
|
|
|
|
|
|
=over 4 |
|
1092
|
|
|
|
|
|
|
|
|
1093
|
|
|
|
|
|
|
=item Paul Schlyter, Stockholm, Sweden |
|
1094
|
|
|
|
|
|
|
|
|
1095
|
|
|
|
|
|
|
for his excellent web page on the subject. |
|
1096
|
|
|
|
|
|
|
|
|
1097
|
|
|
|
|
|
|
=item Rich Bowen (rbowen@rbowen.com) |
|
1098
|
|
|
|
|
|
|
|
|
1099
|
|
|
|
|
|
|
for suggestions. |
|
1100
|
|
|
|
|
|
|
|
|
1101
|
|
|
|
|
|
|
=item Adrian Blockley [adrian.blockley@environ.wa.gov.au] |
|
1102
|
|
|
|
|
|
|
|
|
1103
|
|
|
|
|
|
|
for finding a bug in the conversion to local time. |
|
1104
|
|
|
|
|
|
|
|
|
1105
|
|
|
|
|
|
|
=item Slaven ReziÄ |
|
1106
|
|
|
|
|
|
|
|
|
1107
|
|
|
|
|
|
|
for finding and fixing a bug with DST. |
|
1108
|
|
|
|
|
|
|
|
|
1109
|
|
|
|
|
|
|
=back |
|
1110
|
|
|
|
|
|
|
|
|
1111
|
|
|
|
|
|
|
Lightly verified against L<http://aa.usno.navy.mil/data/docs/RS_OneYear.html> |
|
1112
|
|
|
|
|
|
|
|
|
1113
|
|
|
|
|
|
|
In addition, checked to be compatible with a C implementation of Paul Schlyter's algorithm. |
|
1114
|
|
|
|
|
|
|
|
|
1115
|
|
|
|
|
|
|
=head1 COPYRIGHT and LICENSE |
|
1116
|
|
|
|
|
|
|
|
|
1117
|
|
|
|
|
|
|
=head2 Perl Module |
|
1118
|
|
|
|
|
|
|
|
|
1119
|
|
|
|
|
|
|
This program is distributed under the same terms as Perl 5.16.3: |
|
1120
|
|
|
|
|
|
|
GNU Public License version 1 or later and Perl Artistic License |
|
1121
|
|
|
|
|
|
|
|
|
1122
|
|
|
|
|
|
|
You can find the text of the licenses in the F<LICENSE> file or at |
|
1123
|
|
|
|
|
|
|
L<https://dev.perl.org/licenses/artistic.html> |
|
1124
|
|
|
|
|
|
|
and L<https://www.gnu.org/licenses/gpl-1.0.html>. |
|
1125
|
|
|
|
|
|
|
|
|
1126
|
|
|
|
|
|
|
Here is the summary of GPL: |
|
1127
|
|
|
|
|
|
|
|
|
1128
|
|
|
|
|
|
|
This program is free software; you can redistribute it and/or modify |
|
1129
|
|
|
|
|
|
|
it under the terms of the GNU General Public License as published by |
|
1130
|
|
|
|
|
|
|
the Free Software Foundation; either version 1, or (at your option) |
|
1131
|
|
|
|
|
|
|
any later version. |
|
1132
|
|
|
|
|
|
|
|
|
1133
|
|
|
|
|
|
|
This program is distributed in the hope that it will be useful, |
|
1134
|
|
|
|
|
|
|
but WITHOUT ANY WARRANTY; without even the implied warranty of |
|
1135
|
|
|
|
|
|
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
|
1136
|
|
|
|
|
|
|
GNU General Public License for more details. |
|
1137
|
|
|
|
|
|
|
|
|
1138
|
|
|
|
|
|
|
You should have received a copy of the GNU General Public License |
|
1139
|
|
|
|
|
|
|
along with this program; if not, write to the Free Software Foundation, |
|
1140
|
|
|
|
|
|
|
Inc., L<https://www.fsf.org/>. |
|
1141
|
|
|
|
|
|
|
|
|
1142
|
|
|
|
|
|
|
=head2 Original C program |
|
1143
|
|
|
|
|
|
|
|
|
1144
|
|
|
|
|
|
|
Here is the copyright information provided by Paul Schlyter: |
|
1145
|
|
|
|
|
|
|
|
|
1146
|
|
|
|
|
|
|
Written as DAYLEN.C, 1989-08-16 |
|
1147
|
|
|
|
|
|
|
|
|
1148
|
|
|
|
|
|
|
Modified to SUNRISET.C, 1992-12-01 |
|
1149
|
|
|
|
|
|
|
|
|
1150
|
|
|
|
|
|
|
(c) Paul Schlyter, 1989, 1992 |
|
1151
|
|
|
|
|
|
|
|
|
1152
|
|
|
|
|
|
|
Released to the public domain by Paul Schlyter, December 1992 |
|
1153
|
|
|
|
|
|
|
|
|
1154
|
|
|
|
|
|
|
Permission is hereby granted, free of charge, to any person obtaining a |
|
1155
|
|
|
|
|
|
|
copy of this software and associated documentation files (the "Software"), |
|
1156
|
|
|
|
|
|
|
to deal in the Software without restriction, including without limitation |
|
1157
|
|
|
|
|
|
|
the rights to use, copy, modify, merge, publish, distribute, sublicense, |
|
1158
|
|
|
|
|
|
|
and/or sell copies of the Software, and to permit persons to whom the |
|
1159
|
|
|
|
|
|
|
Software is furnished to do so, subject to the following conditions: |
|
1160
|
|
|
|
|
|
|
|
|
1161
|
|
|
|
|
|
|
The above copyright notice and this permission notice shall be included |
|
1162
|
|
|
|
|
|
|
in all copies or substantial portions of the Software. |
|
1163
|
|
|
|
|
|
|
|
|
1164
|
|
|
|
|
|
|
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR |
|
1165
|
|
|
|
|
|
|
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, |
|
1166
|
|
|
|
|
|
|
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL |
|
1167
|
|
|
|
|
|
|
THE AUTHOR BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, |
|
1168
|
|
|
|
|
|
|
WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT |
|
1169
|
|
|
|
|
|
|
OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN |
|
1170
|
|
|
|
|
|
|
THE SOFTWARE. |
|
1171
|
|
|
|
|
|
|
|
|
1172
|
|
|
|
|
|
|
=head1 BUGS |
|
1173
|
|
|
|
|
|
|
|
|
1174
|
|
|
|
|
|
|
Before reporting a bug, please read the text |
|
1175
|
|
|
|
|
|
|
F<doc/astronomical-notes.pod> because the strange behavior you observed |
|
1176
|
|
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|
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|
|
may be a correct one, or it may be a corner case already known and |
|
1177
|
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|
|
already mentioned in the text. |
|
1178
|
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|
|
1179
|
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|
Nevertheless, patches and (justified) bug reports are welcome. |
|
1180
|
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|
|
1181
|
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|
See L<https://rt.cpan.org/Public/Dist/Display.html?Name=Astro-Sunrise>. |
|
1182
|
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|
1183
|
|
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|
|
|
|
=head2 Astro::Sunrise Bug |
|
1184
|
|
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|
|
1185
|
|
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|
|
|
Ticket #109992 has not been solved properly. For some combinations |
|
1186
|
|
|
|
|
|
|
of longitude and date, the precise algorithm does not converge. |
|
1187
|
|
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|
|
|
|
As a stopgap measure, the loop is exited after 10 iterations, so |
|
1188
|
|
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|
|
|
|
your program will not run amok. But the bug will be considered as fixed |
|
1189
|
|
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|
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|
|
only when we find a way to converge toward a single value. |
|
1190
|
|
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|
1191
|
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|
|
|
|
=head2 Kwalitee |
|
1192
|
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|
1193
|
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|
|
The CPANTS tools do not recognize the LICENSE POD paragraph. But any |
|
1194
|
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|
|
human reader will admit that this LICENSE paragraph exists and is valid. |
|
1195
|
|
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|
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|
|
1196
|
|
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|
|
|
|
=head2 Haiku-OS CPAN Tester |
|
1197
|
|
|
|
|
|
|
|
|
1198
|
|
|
|
|
|
|
The built-in test F<t/06datetime.t> fails on Haiku-OS because there is no |
|
1199
|
|
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|
|
|
|
way to extract the timezone name from the system parameters. This failure does |
|
1200
|
|
|
|
|
|
|
not affect the core functions of L<Astro::Sunrise>. |
|
1201
|
|
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|
1202
|
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|
|
|
|
=head1 SEE ALSO |
|
1203
|
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|
1204
|
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|
|
|
perl(1). |
|
1205
|
|
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|
1206
|
|
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|
|
|
|
L<DateTime::Event::Sunrise> |
|
1207
|
|
|
|
|
|
|
|
|
1208
|
|
|
|
|
|
|
L<DateTime::Event::Jewish::Sunrise> |
|
1209
|
|
|
|
|
|
|
|
|
1210
|
|
|
|
|
|
|
The text F<doc/astronomical-notes.pod> (or its original French version |
|
1211
|
|
|
|
|
|
|
F<doc/notes-astronomiques>) in this distribution. |
|
1212
|
|
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|
|
|
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|
|
1213
|
|
|
|
|
|
|
L<https://stjarnhimlen.se/comp/riset.html> |
|
1214
|
|
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|
1215
|
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|
|
=cut |