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time |
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package DateTime::Event::Jewish::Sunrise; |
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1
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4291
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use strict; |
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3
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1
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42
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3
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5
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use warnings; |
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33
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4
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1
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6
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use base qw(Exporter); |
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3
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1
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98
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5
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1
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1
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5
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use vars qw(@EXPORT_OK); |
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2
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1
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47
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6
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1
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1
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1242
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use DateTime; |
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1
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170237
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1
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37
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7
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1
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1
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13
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use DateTime::Duration; |
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2
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1
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33
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1
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1
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1027
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use Math::Trig; |
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1
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21063
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1
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287
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9
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1
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1
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890
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use DateTime::Event::Jewish::Declination qw(declination %Declination); |
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1
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4
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1
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159
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10
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1
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1
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3332
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use DateTime::Event::Jewish::ZoneLocation; |
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1
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7
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1
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56
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11
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1
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1
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720
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use DateTime::Event::Jewish::Eqt qw(eqt ); |
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1
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4
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1
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1398
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12
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our $VERSION = '0.01'; |
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14
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our @months=("Jan", "Feb", "Mar", "Apr", "May", "Jun", |
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"Jul", "Aug", "Sep", "Oct", "Nov", "Dec"); |
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17
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@EXPORT_OK = qw(@months); |
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19
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=head1 NAME |
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20
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21
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DateTime::Event::Jewish::Sunrise - Calculate halachically |
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interesting times |
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24
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=head1 SYNOPSIS |
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26
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use DateTime::Event::Jewish::Sunrise ; |
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27
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28
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my $jerusalem = DateTime::Event::Jewish::Sunrise->new([31,34,57], [35,13,0]), 'Asia/Jerusalem'; |
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29
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my $date = DateTime->new(year=>2010, month=>3, day=>30); |
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30
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31
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my $shkia = $jerusalem->shkia($date); |
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32
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my $shabbat = $jerusalem->kabbalatShabbat($date); |
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33
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my $netz = $jerusalem->netzHachama($date); |
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34
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my $night = $jerusalem->motzeiShabbat($date); |
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35
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36
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=head1 DESCRIPTION |
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37
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38
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This module assumes that the earth is a smooth sphere. No |
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39
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allowance is made for atmospheric refraction or diffraction of |
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40
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light passing close to the earth's surface. To allow for |
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41
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refraction one uses a depression of 0.833 degrees (50' arc). As, |
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42
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by default, we use 1 degree of depression this is more than adequate. |
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43
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44
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The methods that return times actually return a DateTime |
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45
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object in the correct timezone as specified in the constructor. |
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46
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If an evaluation fails, e.g. no sunrise inside the Arctic cirle, |
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47
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undef is returned. |
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48
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49
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All times are corrected for the equation of time: the variation |
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50
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between sundial time and clock time. |
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51
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52
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If you call this module for a high latitude in the height of |
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53
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summer or the depth of winter it will return nonsense. Ask a silly |
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54
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question and you will get a very silly answer. |
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55
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56
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Calculations are done using the spherical cosine rule. |
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57
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58
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=head3 new($latitude, $longitude, $timeZone) |
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59
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60
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Constructs a new object. |
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61
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62
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=over |
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63
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64
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=item $latitude |
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65
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66
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An arrayref of three numbers representing degrees, minutes and |
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67
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seconds of latitude. North latitudes are positive, south |
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68
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latitudes are negative. |
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69
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70
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=item $Longitude |
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71
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72
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An arrayref of three numbers representing degrees, minutes and |
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73
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seconds of longitude. East longitudes are positive, west |
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74
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longitudes are negative. |
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75
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76
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=item $timeZone |
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77
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78
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A time-zone name as stored in the time-zone database, e.g. |
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79
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"Europe/London". |
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80
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81
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=back |
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82
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83
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=cut |
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84
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85
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sub new { |
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86
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0
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0
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1
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my $class = shift; |
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87
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0
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my ($lat, $long, $zone) = @_; |
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88
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0
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my $self = {lat=>$lat, long=>$long, zone=>$zone}; |
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89
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0
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bless $self, $class; |
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90
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} |
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91
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92
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93
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=head3 halachicHalfDay($date, [$extra]) |
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94
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95
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Calculates the length of the halachic half day in minutes. This |
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96
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is half the time between sunrise and sunset. |
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97
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98
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If you call this method for a high latitude in the height of |
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99
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summer or the depth of winter it will return 0. Ask a silly |
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100
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question and you will get a very silly answer. |
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101
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102
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=over |
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103
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104
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105
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=item $date |
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106
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107
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A DateTime object, either a Gregoorian or a Hebrew date. |
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108
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Only the day and month are relevant. |
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109
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110
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=item $extra |
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111
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112
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The number of degrees below the tangent plane that the sun |
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113
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should be at halachic sunrise/set. Default 1. |
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114
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115
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=item returns |
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116
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117
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The length of the half-day in minutes. Returns 0 if there is no |
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118
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sensible answer, e.g. inside the Arctic circle in summer. |
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119
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120
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=back |
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121
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122
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=cut |
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123
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124
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sub halachicHalfDay { |
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125
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0
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0
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1
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my ($self, $hdate) = @_; |
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126
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0
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shift;shift; |
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0
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127
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# Ensure that we have a Gregorian date |
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128
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0
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my $date = DateTime->from_object(object=>$hdate); |
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129
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0
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0
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my $extra= shift || 1; |
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130
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0
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my $delta = cos(deg2rad(90.0+$extra)); |
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131
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# Convert the location to radians. |
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132
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0
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my $phi = recalculate_coordinate($self->{lat},"rad"); |
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133
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134
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0
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my ($day, $month) = ($date->day, $date->month); |
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135
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136
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0
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my $decl = declination($date); # Radians |
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137
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138
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#Protect against stupidity - works for both summer and winter. |
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139
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0
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0
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return 0 if abs($phi)+ abs($decl) +abs(deg2rad($extra)) > pi/2.0; |
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140
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141
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# Find the longitude difference between the base point and the sun |
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142
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0
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my $dlong = acos(($delta - sin($phi)*sin($decl))/(cos($phi)*cos($decl))); |
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143
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# Each degree of longitude represents 4 minutes of time |
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144
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0
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my $minutes_offset= rad2deg($dlong)*4.0; |
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145
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0
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return $minutes_offset; |
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146
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} |
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147
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148
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=head3 localnoon($date) |
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149
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150
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Returns a DateTime object of the local time of local noon. |
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151
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152
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=over |
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153
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154
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=item $date |
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155
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156
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A DateTime object, either a Gregorian or a Hebrew date. |
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157
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Only the day and month are relevant. |
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158
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159
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=back |
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160
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161
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=cut |
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162
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163
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sub localnoon { |
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164
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0
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0
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1
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my $self = shift; |
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165
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0
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my $hdate = shift; |
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166
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0
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my $date = DateTime->from_object(object=>$hdate); |
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167
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# Extract the longitude so that we can do the correct shift |
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168
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0
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my $longref = $self->{long}; |
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169
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0
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my $long = $longref->[0] + $longref->[1]/60.0 + $longref->[2]/3600.0; |
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170
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0
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$date->set_time_zone("UTC"); |
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171
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0
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$date->set_hour(12); |
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172
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0
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$date->set_minute(0); |
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173
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0
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$date->set_second(0); |
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174
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0
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my $res = $date - DateTime::Duration->new(minutes=>eqt($date)+4*$long); |
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175
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# We now have the correct time, but expressed in UTC |
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176
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# So change the time-zone to what the user expects. |
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177
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0
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$res->set_time_zone($self->{zone}); |
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178
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0
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return $res; |
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179
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} |
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180
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181
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=head3 halfday($date, [$as]) |
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182
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183
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Calculates the offset in minutes from local noon of sunrise/sunset at |
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184
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the given location on the specified day of the year. |
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185
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i.e. the time when the sun is 90 degrees from the zenith. |
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186
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187
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=over |
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188
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189
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=item $date |
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190
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191
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A DateTime object. Only the day and month are relevant. |
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192
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N.B. This is a Gregorian date. |
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193
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194
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=item Returns |
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195
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196
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The length of the ahlf day in minutes. Returns 0 if there is no |
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197
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sensible answer, e.g. inside the ARctic circle in summer. |
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198
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199
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=back |
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200
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201
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=cut |
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202
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203
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sub halfday { |
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204
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0
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0
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1
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my ($self, $date) = @_; |
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205
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0
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shift;shift; |
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0
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206
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0
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my $_as= shift; |
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207
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# Convert the location to radians. |
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208
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0
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my $phi = recalculate_coordinate($self->{lat},"rad"); |
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209
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210
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0
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my ($day, $month) = ($date->day, $date->month); |
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211
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212
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0
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my $decl = declination($date); |
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213
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#Protect against stupidity |
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214
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0
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0
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return 0 if abs($phi)+ abs($decl) > pi/2.0; |
|
215
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216
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# Find the longitude difference between the base point and the sun |
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217
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0
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my $dlong = rad2deg(acos(-tan($phi)*tan($decl))); |
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218
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# Each degree of longitude represents 4 minutes of time |
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219
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0
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my $minutes_offset= $dlong*4.0; |
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220
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0
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return $minutes_offset; |
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221
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} |
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222
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223
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224
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=head3 sunset($date) |
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225
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226
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Calculates the time of sunset, i.e. when the mid-line of the |
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227
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sun is 90degs from the zenith. The result returned has to be |
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228
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corrected for your distance from the standard meridian. |
|
229
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230
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=over |
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231
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232
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=item $date |
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233
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234
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A DateTime object. Only the day and month are relevant. |
|
235
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236
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=item Returns |
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237
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238
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A DateTime object. |
|
239
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240
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=back |
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241
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242
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=cut |
|
243
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244
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sub sunset { |
|
245
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0
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0
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1
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|
my ($self, $date) = @_; |
|
246
|
0
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|
my $res = $self->localnoon($date) + |
|
247
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DateTime::Duration->new(minutes=>$self->halfday($date)); |
|
248
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0
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$res->set_time_zone($self->{zone}); |
|
249
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} |
|
250
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251
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=head3 sunrise($date) |
|
252
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253
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|
Calculates the time of sunrise, i.e. when the mid-line of the |
|
254
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|
sun is 90degs from the zenith. The result returned has to be |
|
255
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|
corrected for your distance from the standard meridian. |
|
256
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257
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=over |
|
258
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259
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=item $date |
|
260
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|
261
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|
A DateTime object. Only the day and month are relevant. |
|
262
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|
263
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=back |
|
264
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265
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266
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=cut |
|
267
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268
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|
sub sunrise { |
|
269
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0
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0
|
1
|
|
my ($self, $date) = @_; |
|
270
|
0
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|
|
my $res = $self->localnoon($date) - |
|
271
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|
DateTime::Duration->new(minutes=>$self->halfday($date)); |
|
272
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0
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|
|
$res->set_time_zone($self->{zone}); |
|
273
|
|
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|
|
} |
|
274
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275
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|
=head3 shkia($date, [$extra]) |
|
276
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|
277
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|
|
Kabbalat Shabbat is 15 minutes before shkia, though some people |
|
278
|
|
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|
|
use 18 minutes; |
|
279
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|
|
Motzei Shabbat is 72 minutes after shkia (R Tam) |
|
280
|
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|
281
|
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|
|
Other values for 'extra' give the times of Motzei Shabbat. |
|
282
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|
|
Pre 1977 7.5 degs |
|
283
|
|
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|
Post 1977 8 degs or 8.5 |
|
284
|
|
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|
|
Fast end 6 degs |
|
285
|
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|
286
|
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|
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|
|
=over |
|
287
|
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|
288
|
|
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|
|
|
|
=item $date |
|
289
|
|
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|
|
290
|
|
|
|
|
|
|
A DateTime object specifying the Gregorian date that we are interested in. |
|
291
|
|
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|
292
|
|
|
|
|
|
|
=item $extra |
|
293
|
|
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|
|
294
|
|
|
|
|
|
|
The number of degrees below the tangent plane that the sun |
|
295
|
|
|
|
|
|
|
should be at halachic sunrise/set. Default 1. |
|
296
|
|
|
|
|
|
|
|
|
297
|
|
|
|
|
|
|
=back |
|
298
|
|
|
|
|
|
|
|
|
299
|
|
|
|
|
|
|
=cut |
|
300
|
|
|
|
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|
|
|
|
301
|
|
|
|
|
|
|
sub shkia { |
|
302
|
0
|
|
|
0
|
1
|
|
my($self, $date) = @_; |
|
303
|
0
|
|
|
|
|
|
shift;shift; |
|
|
0
|
|
|
|
|
|
|
|
304
|
0
|
|
0
|
|
|
|
my $extra=shift ||1; |
|
305
|
|
|
|
|
|
|
|
|
306
|
|
|
|
|
|
|
# $offset is a number of minutes |
|
307
|
0
|
|
|
|
|
|
my $res = $self->localnoon($date) |
|
308
|
|
|
|
|
|
|
+DateTime::Duration->new(minutes=>$self->halachicHalfDay( $date, $extra)); |
|
309
|
0
|
|
|
|
|
|
$res->set_time_zone($self->{zone}); |
|
310
|
|
|
|
|
|
|
} |
|
311
|
|
|
|
|
|
|
|
|
312
|
|
|
|
|
|
|
=head3 netzHachama($date, [$extra]) |
|
313
|
|
|
|
|
|
|
|
|
314
|
|
|
|
|
|
|
Calculates the time of halachic sunrise. This is usually when the sun |
|
315
|
|
|
|
|
|
|
is 1 degree below the tangent plane, though some people use other values. |
|
316
|
|
|
|
|
|
|
|
|
317
|
|
|
|
|
|
|
=over |
|
318
|
|
|
|
|
|
|
|
|
319
|
|
|
|
|
|
|
=item $date |
|
320
|
|
|
|
|
|
|
|
|
321
|
|
|
|
|
|
|
A DateTime object specifying the Gregorian date that we are interested in. |
|
322
|
|
|
|
|
|
|
|
|
323
|
|
|
|
|
|
|
=item $extra |
|
324
|
|
|
|
|
|
|
|
|
325
|
|
|
|
|
|
|
The number of degrees below the tangent plane that the sun |
|
326
|
|
|
|
|
|
|
should be at halachic sunrise/set. Default 1. |
|
327
|
|
|
|
|
|
|
|
|
328
|
|
|
|
|
|
|
=back |
|
329
|
|
|
|
|
|
|
|
|
330
|
|
|
|
|
|
|
=cut |
|
331
|
|
|
|
|
|
|
|
|
332
|
|
|
|
|
|
|
sub netzHachama { |
|
333
|
0
|
|
|
0
|
1
|
|
my ($self, $date) = @_; |
|
334
|
0
|
|
|
|
|
|
my $res = $self->localnoon($date) |
|
335
|
|
|
|
|
|
|
- DateTime::Duration->new(minutes=>$self->halachicHalfDay( $date)); |
|
336
|
0
|
|
|
|
|
|
$res->set_time_zone($self->{zone}); |
|
337
|
|
|
|
|
|
|
} |
|
338
|
|
|
|
|
|
|
|
|
339
|
|
|
|
|
|
|
|
|
340
|
|
|
|
|
|
|
=head3 kabbalatShabbat($date, [$extra]) |
|
341
|
|
|
|
|
|
|
|
|
342
|
|
|
|
|
|
|
Calculates the time of kabbalat Shabbat. This is usually 15 minutes |
|
343
|
|
|
|
|
|
|
before shkia, though some people use 18 minutes. |
|
344
|
|
|
|
|
|
|
|
|
345
|
|
|
|
|
|
|
=over |
|
346
|
|
|
|
|
|
|
|
|
347
|
|
|
|
|
|
|
=item $date |
|
348
|
|
|
|
|
|
|
|
|
349
|
|
|
|
|
|
|
A DateTime object specifying the Gregorian date that we are interested in. |
|
350
|
|
|
|
|
|
|
|
|
351
|
|
|
|
|
|
|
=item $extra |
|
352
|
|
|
|
|
|
|
|
|
353
|
|
|
|
|
|
|
The number of minutes before shkia that one should use for kabbalat |
|
354
|
|
|
|
|
|
|
Shabbat. Default 15. |
|
355
|
|
|
|
|
|
|
|
|
356
|
|
|
|
|
|
|
=back |
|
357
|
|
|
|
|
|
|
|
|
358
|
|
|
|
|
|
|
=cut |
|
359
|
|
|
|
|
|
|
|
|
360
|
|
|
|
|
|
|
sub kabbalatShabbat { |
|
361
|
0
|
|
|
0
|
1
|
|
my ($self, $date) = @_; |
|
362
|
0
|
|
|
|
|
|
shift; shift; |
|
|
0
|
|
|
|
|
|
|
|
363
|
0
|
|
0
|
|
|
|
my $extra = shift|| 15; |
|
364
|
0
|
|
|
|
|
|
my $res = $self->shkia($date) |
|
365
|
|
|
|
|
|
|
- DateTime::Duration->new(minutes=>$extra); |
|
366
|
0
|
|
|
|
|
|
return $res; |
|
367
|
|
|
|
|
|
|
} |
|
368
|
|
|
|
|
|
|
|
|
369
|
|
|
|
|
|
|
=head3 motzeiShabbat($date, [$extra]) |
|
370
|
|
|
|
|
|
|
|
|
371
|
|
|
|
|
|
|
Motzei Shabbat according to R Tam is 72 mins after shkia. |
|
372
|
|
|
|
|
|
|
More conventionally we use the time when the sun is |
|
373
|
|
|
|
|
|
|
either 7degs or 8 degs or 8.5 degs below the horizon. |
|
374
|
|
|
|
|
|
|
Some people even use 11 or 14 degrees, but this quickly becomes |
|
375
|
|
|
|
|
|
|
ridiculous in even moderate latitudes. |
|
376
|
|
|
|
|
|
|
|
|
377
|
|
|
|
|
|
|
For fast ends we use 6 degs (R Schneur Zalman). |
|
378
|
|
|
|
|
|
|
|
|
379
|
|
|
|
|
|
|
=over |
|
380
|
|
|
|
|
|
|
|
|
381
|
|
|
|
|
|
|
=item $date |
|
382
|
|
|
|
|
|
|
|
|
383
|
|
|
|
|
|
|
A DateTime object. Only the day and month are relevant. |
|
384
|
|
|
|
|
|
|
|
|
385
|
|
|
|
|
|
|
=item $extra |
|
386
|
|
|
|
|
|
|
|
|
387
|
|
|
|
|
|
|
The number of degrees below the tangent plane that the sun |
|
388
|
|
|
|
|
|
|
should be at motzei Shabbat. Default 8. |
|
389
|
|
|
|
|
|
|
|
|
390
|
|
|
|
|
|
|
=back |
|
391
|
|
|
|
|
|
|
|
|
392
|
|
|
|
|
|
|
=cut |
|
393
|
|
|
|
|
|
|
|
|
394
|
|
|
|
|
|
|
sub motzeiShabbat { |
|
395
|
0
|
|
|
0
|
1
|
|
my ($self, $date) = @_; |
|
396
|
0
|
|
|
|
|
|
shift; shift; |
|
|
0
|
|
|
|
|
|
|
|
397
|
0
|
|
0
|
|
|
|
my $extra= shift||8.0; |
|
398
|
|
|
|
|
|
|
|
|
399
|
0
|
|
|
|
|
|
return $self->shkia($date, $extra) ; |
|
400
|
|
|
|
|
|
|
} |
|
401
|
|
|
|
|
|
|
|
|
402
|
|
|
|
|
|
|
=head3 recalculate_coordinate($location, $as) |
|
403
|
|
|
|
|
|
|
|
|
404
|
|
|
|
|
|
|
Convert a tupe of (degrees, minutes, seconds) to a normal form. |
|
405
|
|
|
|
|
|
|
|
|
406
|
|
|
|
|
|
|
=over |
|
407
|
|
|
|
|
|
|
|
|
408
|
|
|
|
|
|
|
=item $location |
|
409
|
|
|
|
|
|
|
|
|
410
|
|
|
|
|
|
|
An arrayref of three components: degrees, minutes, seconds. |
|
411
|
|
|
|
|
|
|
|
|
412
|
|
|
|
|
|
|
=item $as |
|
413
|
|
|
|
|
|
|
|
|
414
|
|
|
|
|
|
|
Return value type. Can be specified as 'deg', 'min', 'sec' or 'rad'; default |
|
415
|
|
|
|
|
|
|
return value is a proper coordinate tuple. |
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416
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417
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=back |
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418
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419
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=cut |
|
420
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421
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sub recalculate_coordinate { |
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422
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0
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0
|
1
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|
my $val = shift; |
|
423
|
0
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|
my $_as = shift; |
|
424
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425
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# Accepts a coordinate as a tuple (degree, minutes, seconds) |
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426
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# You can give only one of them (e.g. only minutes as a floating point number) and it will be duly |
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427
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|
# recalculated into degrees, minutes and seconds. |
|
428
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429
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430
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0
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my ($deg, $min, $sec) = @$val; |
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431
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# pass outstanding values from right to left |
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432
|
0
|
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0
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|
$min = ($min or 0) + int($sec) / 60; |
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433
|
0
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|
$sec = $sec % 60; |
|
434
|
0
|
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0
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|
$deg = ($deg or 0) + int($min) / 60; |
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435
|
0
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$min = $min % 60; |
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436
|
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|
# pass decimal part from left to right |
|
437
|
0
|
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|
my $dint = int($deg); |
|
438
|
0
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|
my $dfrac = $deg - $dint; |
|
439
|
0
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$min = $min + $dfrac * 60; |
|
440
|
0
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|
$deg = $dint; |
|
441
|
0
|
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my $mint = int($min); |
|
442
|
0
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|
my $mfrac = $min - $mint; |
|
443
|
0
|
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|
$sec = $sec + $mfrac * 60; |
|
444
|
0
|
|
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|
$min = $mint; |
|
445
|
0
|
0
|
|
|
|
|
if ($_as) { |
|
446
|
0
|
|
|
|
|
|
$sec = $sec + $min * 60 + $deg * 3600; |
|
447
|
0
|
0
|
|
|
|
|
if ($_as eq 'sec') { return $sec;} |
|
|
0
|
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|
|
448
|
0
|
0
|
|
|
|
|
if ($_as eq 'min') { return $sec / 60;} |
|
|
0
|
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|
449
|
0
|
0
|
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|
|
if ($_as eq 'deg') { return $sec / 3600;} |
|
|
0
|
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|
|
|
|
|
|
450
|
0
|
0
|
|
|
|
|
if ($_as eq 'rad') { return deg2rad($sec / 3600);} |
|
|
0
|
|
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|
|
|
|
451
|
|
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|
|
} |
|
452
|
0
|
|
|
|
|
|
return [$deg, $min, $sec]; |
|
453
|
|
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|
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|
|
} |
|
454
|
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|
455
|
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|
|
=head1 AUTHOR |
|
456
|
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|
457
|
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|
|
|
Raphael Mankin, C<< >> |
|
458
|
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|
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|
|
459
|
|
|
|
|
|
|
=head1 BUGS |
|
460
|
|
|
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|
|
|
461
|
|
|
|
|
|
|
Please report any bugs or feature requests to C, or through |
|
462
|
|
|
|
|
|
|
the web interface at L. I will be notified, and then you'll |
|
463
|
|
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|
|
|
|
automatically be notified of progress on your bug as I make changes. |
|
464
|
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|
465
|
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|
466
|
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|
467
|
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|
468
|
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|
|
=head1 SUPPORT |
|
469
|
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|
|
470
|
|
|
|
|
|
|
You can find documentation for this module with the perldoc command. |
|
471
|
|
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|
|
|
|
472
|
|
|
|
|
|
|
perldoc DateTime::Event::Jewish |
|
473
|
|
|
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|
|
|
|
474
|
|
|
|
|
|
|
|
|
475
|
|
|
|
|
|
|
You can also look for information at: |
|
476
|
|
|
|
|
|
|
|
|
477
|
|
|
|
|
|
|
=over 4 |
|
478
|
|
|
|
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|
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|
|
479
|
|
|
|
|
|
|
=item * RT: CPAN's request tracker |
|
480
|
|
|
|
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|
|
|
481
|
|
|
|
|
|
|
L |
|
482
|
|
|
|
|
|
|
|
|
483
|
|
|
|
|
|
|
=item * AnnoCPAN: Annotated CPAN documentation |
|
484
|
|
|
|
|
|
|
|
|
485
|
|
|
|
|
|
|
L |
|
486
|
|
|
|
|
|
|
|
|
487
|
|
|
|
|
|
|
=item * CPAN Ratings |
|
488
|
|
|
|
|
|
|
|
|
489
|
|
|
|
|
|
|
L |
|
490
|
|
|
|
|
|
|
|
|
491
|
|
|
|
|
|
|
=item * Search CPAN |
|
492
|
|
|
|
|
|
|
|
|
493
|
|
|
|
|
|
|
L |
|
494
|
|
|
|
|
|
|
|
|
495
|
|
|
|
|
|
|
=back |
|
496
|
|
|
|
|
|
|
|
|
497
|
|
|
|
|
|
|
|
|
498
|
|
|
|
|
|
|
=head1 ACKNOWLEDGEMENTS |
|
499
|
|
|
|
|
|
|
|
|
500
|
|
|
|
|
|
|
|
|
501
|
|
|
|
|
|
|
=head1 LICENSE AND COPYRIGHT |
|
502
|
|
|
|
|
|
|
|
|
503
|
|
|
|
|
|
|
Copyright 2010 Raphael Mankin. |
|
504
|
|
|
|
|
|
|
|
|
505
|
|
|
|
|
|
|
This program is free software; you can redistribute it and/or modify it |
|
506
|
|
|
|
|
|
|
under the terms of either: the GNU General Public License as published |
|
507
|
|
|
|
|
|
|
by the Free Software Foundation; or the Artistic License. |
|
508
|
|
|
|
|
|
|
|
|
509
|
|
|
|
|
|
|
See http://dev.perl.org/licenses/ for more information. |
|
510
|
|
|
|
|
|
|
|
|
511
|
|
|
|
|
|
|
|
|
512
|
|
|
|
|
|
|
=cut |
|
513
|
|
|
|
|
|
|
|
|
514
|
|
|
|
|
|
|
1; # End of DateTime::Event::Sunrise |