|  line  | 
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 # $Id: /local/datetime/modules/DateTime-Util-Calc/trunk/lib/DateTime/Util/Calc.pm 11779 2007-05-29T22:12:48.788920Z daisuke  $  | 
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 # Copyright (c) 2004-2015 Daisuke Maki   | 
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 package DateTime::Util::Calc;  | 
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115669
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 use strict;  | 
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 use warnings;  | 
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 use Exporter;  | 
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 use DateTime;  | 
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 use Math::BigInt   ('lib' => 'GMP,Pari,FastCalc');  | 
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 use Math::BigFloat ('lib' => 'GMP,Pari,FastCalc');  | 
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124127
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15840
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 use Math::Trig ();  | 
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111888
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 use POSIX();  | 
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 use constant RATA_DIE => DateTime->new(year => 1, time_zone => 'UTC');  | 
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2979
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 use vars qw($VERSION @EXPORT_OK);  | 
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 use vars qw($DOWNGRADE_ACCURACY);  | 
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 {  | 
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     *import = \&Exporter::import;  | 
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     $VERSION = '0.13003';  | 
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     @EXPORT_OK = qw(  | 
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         bf_downgrade  | 
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         bi_downgrade  | 
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         binary_search  | 
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         search_next  | 
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         angle  | 
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         polynomial  | 
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         sin_deg  | 
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32
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         cos_deg  | 
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         tan_deg  | 
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         asin_deg acos_deg mod amod min  | 
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         max bigfloat bigint moment dt_from_moment rata_die  | 
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         truncate_to_midday  | 
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         revolution  | 
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         rev180  | 
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     );  | 
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7349
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     $DOWNGRADE_ACCURACY = 32;  | 
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 }  | 
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10
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10
  
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1
  
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34
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 sub rata_die { RATA_DIE->clone }  | 
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 sub bigfloat  | 
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 {  | 
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     return  | 
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  0
  
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0
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         UNIVERSAL::isa($_[0], 'Math::BigFloat') ? $_[0] :  | 
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50
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             Math::BigFloat->new($_[0]);  | 
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51
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    | 
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 sub bigint  | 
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 {  | 
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0
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  0
  
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0
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     return UNIVERSAL::isa($_[0], 'Math::BigInt') ? $_[0] : Math::BigInt->new($_[0]);  | 
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56
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 my $warn_bf_downgrade = 0;  | 
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 my $warn_bi_downgrade = 0;  | 
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 sub bf_downgrade  | 
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 {  | 
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0
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  0
  
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0
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     $warn_bf_downgrade++ or carp "DateTime::Util::Calc::bf_downgrade has been deprecated, and will be removed in future versions.";  | 
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63
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0
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0
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     return $_[0];  | 
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 sub bi_downgrade  | 
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67
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 {  | 
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68
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0
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  0
  
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0
  
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1
  
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0
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     $warn_bi_downgrade++ or carp "DateTime::Util::Calc::bi_downgrade has been deprecated, and will be removed in future versions.";  | 
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69
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0
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0
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     return $_[0];  | 
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 }     | 
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71
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72
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 sub angle  | 
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73
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 {  | 
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74
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0
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0
  
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1
  
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0
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     Math::BigFloat->new($_[0]) + (Math::BigFloat->new($_[1]) + (Math::BigFloat->new($_[2]) / 60)) / 60;  | 
| 
75
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 }  | 
| 
76
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    | 
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77
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 # polynomial($x, $a(0) ... $a(n))  | 
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78
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 sub polynomial  | 
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79
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 {  | 
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80
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3
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 50
  
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3
  
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1
  
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1661
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     if (@_ == 1) {  | 
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81
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0
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0
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         require Carp;  | 
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82
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0
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0
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         Carp::croak('polynomial requires at least two arguments: polynomial($x, @coeffients)');  | 
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83
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     }  | 
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84
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    | 
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85
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     # XXX - There seems to be a bug in adding BigInt and BigFloat  | 
| 
86
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     # Math::BigFloat->bzero must be used  | 
| 
87
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3
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22
 | 
     my $x   = Math::BigFloat->new(shift @_);  | 
| 
88
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3
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 | 
382
 | 
     my $v   = Math::BigFloat->bzero();  | 
| 
89
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3
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 | 
114
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     my $ret = Math::BigFloat->new(shift @_);  | 
| 
90
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    | 
| 
91
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     # reuse $v for sake of efficiency. we just want to check if $x  | 
| 
92
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     # is zero or not  | 
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93
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3
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100
  
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162
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     if ($x == $v) {  | 
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94
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1
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112
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         return $ret;  | 
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95
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     }  | 
| 
96
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    | 
| 
97
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2
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 | 
151
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     while (@_) {  | 
| 
98
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5
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 | 
869
 | 
         $v = $x * ($v + pop @_);  | 
| 
99
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     }  | 
| 
100
 | 
2
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595
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     return $ret + $v;  | 
| 
101
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 }  | 
| 
102
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    | 
| 
103
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 sub deg2rad  | 
| 
104
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 {  | 
| 
105
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5
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 50
  
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5
  
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1
  
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19
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     my $deg = ref($_[0]) ? $_[0]->bstr() : $_[0];  | 
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106
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5
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 50
  
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31
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     return Math::Trig::deg2rad($deg > 360 ? $deg % 360 : $deg);  | 
| 
107
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 }  | 
| 
108
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    | 
| 
109
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2
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2
  
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1
  
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716
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 sub sin_deg  { CORE::sin(deg2rad($_[0])) }  | 
| 
110
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2
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2
  
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1
  
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14961
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 sub cos_deg  { CORE::cos(deg2rad($_[0])) }  | 
| 
111
 | 
1
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1
  
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1
  
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665
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 sub tan_deg  { Math::Trig::tan(deg2rad($_[0])) }  | 
| 
112
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 sub asin_deg  | 
| 
113
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 {  | 
| 
114
 | 
1
 | 
  
 50
  
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1
  
 | 
  
1
  
 | 
17
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     my $v = ref($_[0]) ? $_[0]->bstr() : $_[0];  | 
| 
115
 | 
1
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7
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     return Math::Trig::rad2deg(Math::Trig::asin($v));  | 
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116
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 }  | 
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117
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    | 
| 
118
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 sub acos_deg  | 
| 
119
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 | 
 {  | 
| 
120
 | 
1
 | 
  
 50
  
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 | 
  
1
  
 | 
  
1
  
 | 
16
 | 
     my $v = ref($_[0]) ? $_[0]->bstr() : $_[0];  | 
| 
121
 | 
1
 | 
 
 | 
 
 | 
 
 | 
 
 | 
4
 | 
     Math::Trig::rad2deg(Math::Trig::acos($v));  | 
| 
122
 | 
 
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 }  | 
| 
123
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    | 
| 
124
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 sub mod  | 
| 
125
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 {  | 
| 
126
 | 
17
 | 
 
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 | 
  
17
  
 | 
  
1
  
 | 
4454
 | 
     my ($x, $y) = @_;  | 
| 
127
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 | 
    | 
| 
128
 | 
 
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     # x mod y = x - y * (floor(x/y));  | 
| 
129
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    | 
| 
130
 | 
17
 | 
  
100
  
 | 
  
 66
  
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 | 
73
 | 
     if (ref($x) || ref($y)) {  | 
| 
131
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         # Make sure both are M::BF  | 
| 
132
 | 
2
 | 
  
 50
  
 | 
 
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 | 
9
 | 
         $x = Math::BigFloat->new($x) if ! ref ($x);  | 
| 
133
 | 
2
 | 
  
 50
  
 | 
 
 | 
 
 | 
 
 | 
8
 | 
         $y = Math::BigFloat->new($y) if ! ref ($y);  | 
| 
134
 | 
 
 | 
 
 | 
 
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 | 
 
 | 
 
 | 
    | 
| 
135
 | 
2
 | 
 
 | 
 
 | 
 
 | 
 
 | 
112
 | 
         return $x - $y * ( ($x / $y)->bfloor );  | 
| 
136
 | 
 
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 | 
 
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 | 
     } else {  | 
| 
137
 | 
15
 | 
 
 | 
 
 | 
 
 | 
 
 | 
151
 | 
         return $x - $y * ( POSIX::floor($x / $y) );  | 
| 
138
 | 
 
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 | 
 
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 | 
 
 | 
     }  | 
| 
139
 | 
 
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 | 
 
 | 
 
 | 
 }  | 
| 
140
 | 
 
 | 
 
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    | 
| 
141
 | 
3
 | 
  
100
  
 | 
 
 | 
  
3
  
 | 
  
1
  
 | 
12
 | 
 sub amod { mod($_[0], $_[1]) || $_[1]; }  | 
| 
142
 | 
3
 | 
  
 50
  
 | 
 
 | 
  
3
  
 | 
  
1
  
 | 
25
 | 
 sub min  { $_[0] > $_[1] ? $_[1] : $_[0] }  | 
| 
143
 | 
3
 | 
  
100
  
 | 
 
 | 
  
3
  
 | 
  
1
  
 | 
15
 | 
 sub max  { $_[0] < $_[1] ? $_[1] : $_[0] }  | 
| 
144
 | 
 
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    | 
| 
145
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub moment  | 
| 
146
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 {  | 
| 
147
 | 
10
 | 
 
 | 
 
 | 
  
10
  
 | 
  
1
  
 | 
27652
 | 
     my $dt = shift;  | 
| 
148
 | 
10
 | 
 
 | 
 
 | 
 
 | 
 
 | 
28
 | 
     my($rd, $seconds) = $dt->utc_rd_values;  | 
| 
149
 | 
10
 | 
 
 | 
 
 | 
 
 | 
 
 | 
171
 | 
     return $rd + $seconds / (24 * 3600);  | 
| 
150
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
151
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
152
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub dt_from_moment  | 
| 
153
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 {  | 
| 
154
 | 
10
 | 
 
 | 
 
 | 
  
10
  
 | 
  
1
  
 | 
3886
 | 
     my $moment  = Math::BigFloat->new('' . shift);  | 
| 
155
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
156
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     # Truncate the moment down to an int  | 
| 
157
 | 
10
 | 
 
 | 
 
 | 
 
 | 
 
 | 
1493
 | 
     my $rd_days = $moment->as_int();  | 
| 
158
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
159
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     # Upgrade here to BigFloat to maintain accuracy to the second  | 
| 
160
 | 
10
 | 
 
 | 
 
 | 
 
 | 
 
 | 
1160
 | 
     my $time    = ($moment - $rd_days) * 24 * 3600;  | 
| 
161
 | 
10
 | 
 
 | 
 
 | 
 
 | 
 
 | 
6580
 | 
     my $dt      = rata_die();  | 
| 
162
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
163
 | 
10
 | 
  
 50
  
 | 
  
 33
  
 | 
 
 | 
 
 | 
127
 | 
     if ($rd_days || $time) {  | 
| 
164
 | 
10
 | 
 
 | 
 
 | 
 
 | 
 
 | 
210
 | 
         $dt->add(  | 
| 
165
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
             days    => ($rd_days - 1)->bstr(),  | 
| 
166
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
             seconds => $time->as_int()->bstr(),  | 
| 
167
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
         );  | 
| 
168
 | 
10
 | 
 
 | 
 
 | 
 
 | 
 
 | 
7199
 | 
         $dt->truncate(to => 'second');  | 
| 
169
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     }  | 
| 
170
 | 
10
 | 
 
 | 
 
 | 
 
 | 
 
 | 
2650
 | 
     return $dt;  | 
| 
171
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
172
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
173
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
       | 
| 
174
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub binary_search  | 
| 
175
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 {  | 
| 
176
 | 
0
 | 
 
 | 
 
 | 
  
0
  
 | 
  
1
  
 | 
0
 | 
     my ($lo, $hi, $mu, $phi) = @_;  | 
| 
177
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
178
 | 
0
 | 
 
 | 
 
 | 
 
 | 
 
 | 
0
 | 
     $lo = Math::BigFloat->new($lo);  | 
| 
179
 | 
0
 | 
 
 | 
 
 | 
 
 | 
 
 | 
0
 | 
     $hi = Math::BigFloat->new($hi);  | 
| 
180
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
181
 | 
0
 | 
 
 | 
 
 | 
 
 | 
 
 | 
0
 | 
     while (1) {  | 
| 
182
 | 
0
 | 
 
 | 
 
 | 
 
 | 
 
 | 
0
 | 
         my $x = ($lo + $hi) / 2;  | 
| 
183
 | 
0
 | 
  
  0
  
 | 
 
 | 
 
 | 
 
 | 
0
 | 
         if ($mu->($lo, $hi)) {  | 
| 
 
 | 
 
 | 
  
  0
  
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
184
 | 
0
 | 
 
 | 
 
 | 
 
 | 
 
 | 
0
 | 
             return $x;  | 
| 
185
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
         } elsif ($phi->($x)) {  | 
| 
186
 | 
0
 | 
 
 | 
 
 | 
 
 | 
 
 | 
0
 | 
             $hi = $x;  | 
| 
187
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
         } else {  | 
| 
188
 | 
0
 | 
 
 | 
 
 | 
 
 | 
 
 | 
0
 | 
             $lo = $x;  | 
| 
189
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
         }  | 
| 
190
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     }  | 
| 
191
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
192
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
193
 | 
0
 | 
 
 | 
 
 | 
  
0
  
 | 
 
 | 
0
 | 
 sub __increment_one { $_[0] + 1 }  | 
| 
194
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub search_next  | 
| 
195
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 {  | 
| 
196
 | 
1
 | 
 
 | 
 
 | 
  
1
  
 | 
  
1
  
 | 
16
 | 
     my %args = @_;  | 
| 
197
 | 
1
 | 
 
 | 
 
 | 
 
 | 
 
 | 
2
 | 
     my $x     = $args{base};  | 
| 
198
 | 
1
 | 
 
 | 
 
 | 
 
 | 
 
 | 
3
 | 
     my $check = $args{check};  | 
| 
199
 | 
1
 | 
 
 | 
  
 50
  
 | 
 
 | 
 
 | 
4
 | 
     my $next  = $args{next} || \&__increment_one;  | 
| 
200
 | 
1
 | 
 
 | 
 
 | 
 
 | 
 
 | 
3
 | 
     while (! $check->($x) ) {  | 
| 
201
 | 
6
 | 
 
 | 
 
 | 
 
 | 
 
 | 
24
 | 
         $x = $next->($x);  | 
| 
202
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     }  | 
| 
203
 | 
1
 | 
 
 | 
 
 | 
 
 | 
 
 | 
6
 | 
     return $x;  | 
| 
204
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
205
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
206
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub truncate_to_midday  | 
| 
207
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 {  | 
| 
208
 | 
1
 | 
 
 | 
 
 | 
  
1
  
 | 
  
1
  
 | 
320
 | 
     $_[0]->truncate(to => 'hour');  | 
| 
209
 | 
1
 | 
 
 | 
 
 | 
 
 | 
 
 | 
192
 | 
     $_[0]->set( hour => 12 );  | 
| 
210
 | 
1
 | 
 
 | 
 
 | 
 
 | 
 
 | 
247
 | 
     $_[0];  | 
| 
211
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
212
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
213
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub revolution  | 
| 
214
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 {  | 
| 
215
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     #  | 
| 
216
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     #  | 
| 
217
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     # FUNCTIONAL SEQUENCE for revolution  | 
| 
218
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     #  | 
| 
219
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     # _GIVEN  | 
| 
220
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     # any angle  | 
| 
221
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     #  | 
| 
222
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     # _THEN  | 
| 
223
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     #  | 
| 
224
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     # reduces any angle to within the first revolution   | 
| 
225
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     # by subtracting or adding even multiples of 360.0  | 
| 
226
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     #   | 
| 
227
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     #  | 
| 
228
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     # _RETURN  | 
| 
229
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     #  | 
| 
230
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     # the value of the input is >= 0.0 and < 360.0  | 
| 
231
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     #  | 
| 
232
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
233
 | 
0
 | 
 
 | 
 
 | 
  
0
  
 | 
  
1
  
 | 
 
 | 
     my $x = $_[0];  | 
| 
234
 | 
0
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     return ( $x - 360.0 * POSIX::floor( $x * ( 1.0 / 360.0 ) ) );  | 
| 
235
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
236
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
237
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub rev180  | 
| 
238
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 {  | 
| 
239
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     #  | 
| 
240
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     #  | 
| 
241
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     # FUNCTIONAL SEQUENCE for rev180  | 
| 
242
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     #  | 
| 
243
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     # _GIVEN  | 
| 
244
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     #   | 
| 
245
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     # any angle  | 
| 
246
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     #  | 
| 
247
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     # _THEN  | 
| 
248
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     #  | 
| 
249
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     # Reduce input to within +180..+180 degrees  | 
| 
250
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     #   | 
| 
251
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     #  | 
| 
252
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     # _RETURN  | 
| 
253
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     #  | 
| 
254
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     # angle that was reduced  | 
| 
255
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     #  | 
| 
256
 | 
0
 | 
 
 | 
 
 | 
  
0
  
 | 
  
1
  
 | 
 
 | 
     my ($x) = @_;  | 
| 
257
 | 
0
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     return ( $x - 360.0 * POSIX::floor( $x * ( 1.0 / 360.0 ) + 0.5 ) );  | 
| 
258
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
259
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
260
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
261
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 1;  | 
| 
262
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
263
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 __END__  |