| line | stmt | bran | cond | sub | pod | time | code | 
| 1 |  |  |  |  |  |  | package Astro::Montenbruck::CoCo; | 
| 2 |  |  |  |  |  |  |  | 
| 3 | 1 |  |  | 1 |  | 171984 | use strict; | 
|  | 1 |  |  |  |  | 7 |  | 
|  | 1 |  |  |  |  | 30 |  | 
| 4 | 1 |  |  | 1 |  | 6 | use warnings; | 
|  | 1 |  |  |  |  | 2 |  | 
|  | 1 |  |  |  |  | 30 |  | 
| 5 | 1 |  |  | 1 |  | 5 | use Exporter qw/import/; | 
|  | 1 |  |  |  |  | 2 |  | 
|  | 1 |  |  |  |  | 32 |  | 
| 6 | 1 |  |  | 1 |  | 5 | use POSIX qw /tan atan2 asin acos/; | 
|  | 1 |  |  |  |  | 2 |  | 
|  | 1 |  |  |  |  | 19 |  | 
| 7 | 1 |  |  | 1 |  | 1946 | use Astro::Montenbruck::MathUtils qw/reduce_rad/; | 
|  | 1 |  |  |  |  | 2 |  | 
|  | 1 |  |  |  |  | 81 |  | 
| 8 | 1 |  |  | 1 |  | 7 | use Math::Trig qw/:pi deg2rad rad2deg/; | 
|  | 1 |  |  |  |  | 3 |  | 
|  | 1 |  |  |  |  | 115 |  | 
| 9 | 1 |  |  | 1 |  | 550 | use Readonly; | 
|  | 1 |  |  |  |  | 3947 |  | 
|  | 1 |  |  |  |  | 586 |  | 
| 10 |  |  |  |  |  |  |  | 
| 11 |  |  |  |  |  |  | Readonly::Scalar our $ECL => 1; | 
| 12 |  |  |  |  |  |  | Readonly::Scalar our $EQU => 2; | 
| 13 |  |  |  |  |  |  |  | 
| 14 |  |  |  |  |  |  | our %EXPORT_TAGS = ( | 
| 15 |  |  |  |  |  |  | all => [ qw/ecl2equ equ2ecl equ2hor hor2equ/ ], | 
| 16 |  |  |  |  |  |  | ); | 
| 17 |  |  |  |  |  |  |  | 
| 18 |  |  |  |  |  |  | our @EXPORT_OK = ( @{ $EXPORT_TAGS{'all'} }, qw/$ECL $EQU/ ); | 
| 19 |  |  |  |  |  |  |  | 
| 20 |  |  |  |  |  |  | our $VERSION = 0.01; | 
| 21 |  |  |  |  |  |  |  | 
| 22 |  |  |  |  |  |  | # Common routine for coordinate conversion | 
| 23 |  |  |  |  |  |  | # $target = $ECL (1) for equator -> ecliptic | 
| 24 |  |  |  |  |  |  | # $target = $EQU (2) for ecliptic -> equator | 
| 25 |  |  |  |  |  |  | sub _equecl { | 
| 26 | 2 |  |  | 2 |  | 20 | my ( $x, $y, $e, $target ) = @_; | 
| 27 | 2 | 50 |  |  |  | 9 | my $k = $target == $ECL ? 1 | 
|  |  | 100 |  |  |  |  |  | 
| 28 |  |  |  |  |  |  | : $target == $EQU ? -1 : 0; | 
| 29 | 2 |  |  |  |  | 8 | die "Unknown target: '$target'! \n" until $k; | 
| 30 |  |  |  |  |  |  |  | 
| 31 | 2 |  |  |  |  | 27 | my $sin_a = sin($x); | 
| 32 | 2 |  |  |  |  | 11 | my $cos_e = cos($e); | 
| 33 | 2 |  |  |  |  | 5 | my $sin_e = sin($e); | 
| 34 | 2 |  |  |  |  | 48 | reduce_rad(atan2( $sin_a * $cos_e + $k * ( tan($y) * $sin_e ), cos($x) )), | 
| 35 |  |  |  |  |  |  | asin( sin($y) * $cos_e - $k * ( cos($y) * $sin_e * $sin_a ) ); | 
| 36 |  |  |  |  |  |  | } | 
| 37 |  |  |  |  |  |  |  | 
| 38 |  |  |  |  |  |  |  | 
| 39 |  |  |  |  |  |  | sub equ2ecl { | 
| 40 | 1 |  |  | 1 | 1 | 4348 | map { rad2deg $_ } _equecl( ( map { deg2rad $_ } @_ ), $ECL ); | 
|  | 2 |  |  |  |  | 22 |  | 
|  | 3 |  |  |  |  | 33 |  | 
| 41 |  |  |  |  |  |  | } | 
| 42 |  |  |  |  |  |  |  | 
| 43 |  |  |  |  |  |  | sub ecl2equ { | 
| 44 | 1 |  |  | 1 | 1 | 4912 | map { rad2deg $_ } _equecl( ( map { deg2rad $_ } @_ ), $EQU ); | 
|  | 2 |  |  |  |  | 13 |  | 
|  | 3 |  |  |  |  | 24 |  | 
| 45 |  |  |  |  |  |  | } | 
| 46 |  |  |  |  |  |  |  | 
| 47 |  |  |  |  |  |  |  | 
| 48 |  |  |  |  |  |  | # Converts between azimuth/altitude and hour-angle/declination. | 
| 49 |  |  |  |  |  |  | # The equations are symmetrical in the two pairs of coordinates so that exactly | 
| 50 |  |  |  |  |  |  | # the same code may be used to convert in either direction, there is no need | 
| 51 |  |  |  |  |  |  | # to specify direction with a swich. | 
| 52 |  |  |  |  |  |  | sub _equhor { | 
| 53 | 2 |  |  | 2 |  | 17 | my ($x, $y, $phi) = @_; | 
| 54 | 2 |  |  |  |  | 4 | my ($sx, $sy, $sphi) = map{ sin } ($x, $y, $phi); | 
|  | 6 |  |  |  |  | 15 |  | 
| 55 | 2 |  |  |  |  | 5 | my ($cx, $cy, $cphi) = map{ cos } ($x, $y, $phi); | 
|  | 6 |  |  |  |  | 13 |  | 
| 56 |  |  |  |  |  |  |  | 
| 57 | 2 |  |  |  |  | 6 | my $sq = ($sy * $sphi) + ($cy * $cphi * $cx); | 
| 58 | 2 |  |  |  |  | 8 | my $q = asin($sq); | 
| 59 | 2 |  |  |  |  | 5 | my $cp = ($sy - ($sphi * $sq)) / ($cphi * cos($q)); | 
| 60 | 2 |  |  |  |  | 8 | my $p = acos($cp); | 
| 61 | 2 | 100 |  |  |  | 8 | if ($sx > 0) { | 
| 62 | 1 |  |  |  |  | 2 | $p = pi2 - $p; | 
| 63 |  |  |  |  |  |  | } | 
| 64 | 2 |  |  |  |  | 5 | ($p, $q) | 
| 65 |  |  |  |  |  |  | } | 
| 66 |  |  |  |  |  |  |  | 
| 67 |  |  |  |  |  |  | sub equ2hor { | 
| 68 | 2 |  |  | 2 | 1 | 7446 | map {rad2deg $_} _equhor( map { deg2rad $_ } @_ ) | 
|  | 4 |  |  |  |  | 23 |  | 
|  | 6 |  |  |  |  | 43 |  | 
| 69 |  |  |  |  |  |  | } | 
| 70 |  |  |  |  |  |  |  | 
| 71 |  |  |  |  |  |  | sub hor2equ { | 
| 72 | 1 |  |  | 1 | 1 | 4108 | equ2hor(@_) | 
| 73 |  |  |  |  |  |  | } | 
| 74 |  |  |  |  |  |  |  | 
| 75 |  |  |  |  |  |  |  | 
| 76 |  |  |  |  |  |  | 1; | 
| 77 |  |  |  |  |  |  |  | 
| 78 |  |  |  |  |  |  | __END__ | 
| 79 |  |  |  |  |  |  |  | 
| 80 |  |  |  |  |  |  | =pod | 
| 81 |  |  |  |  |  |  |  | 
| 82 |  |  |  |  |  |  | =encoding UTF-8 | 
| 83 |  |  |  |  |  |  |  | 
| 84 |  |  |  |  |  |  | =head1 NAME | 
| 85 |  |  |  |  |  |  |  | 
| 86 |  |  |  |  |  |  | Astro::Montenbruck::CoCo - Coordinates conversions. | 
| 87 |  |  |  |  |  |  |  | 
| 88 |  |  |  |  |  |  | =head1 VERSION | 
| 89 |  |  |  |  |  |  |  | 
| 90 |  |  |  |  |  |  | Version 0.01 | 
| 91 |  |  |  |  |  |  |  | 
| 92 |  |  |  |  |  |  | =head1 DESCRIPTION | 
| 93 |  |  |  |  |  |  |  | 
| 94 |  |  |  |  |  |  | Celestial sphera related calculations used by AstroScript modules. | 
| 95 |  |  |  |  |  |  |  | 
| 96 |  |  |  |  |  |  | =head1 EXPORT | 
| 97 |  |  |  |  |  |  |  | 
| 98 |  |  |  |  |  |  | =over | 
| 99 |  |  |  |  |  |  |  | 
| 100 |  |  |  |  |  |  | =item * L</equ2ecl($alpha, $delta, $epsilon)> | 
| 101 |  |  |  |  |  |  |  | 
| 102 |  |  |  |  |  |  | =item * L</ecl2equ($lambda, $beta, $epsilon)> | 
| 103 |  |  |  |  |  |  |  | 
| 104 |  |  |  |  |  |  | =back | 
| 105 |  |  |  |  |  |  |  | 
| 106 |  |  |  |  |  |  | =head1 FUNCTIONS | 
| 107 |  |  |  |  |  |  |  | 
| 108 |  |  |  |  |  |  | =head2 equ2ecl($alpha, $delta, $epsilon) | 
| 109 |  |  |  |  |  |  |  | 
| 110 |  |  |  |  |  |  | Conversion of equatorial into ecliptic coordinates | 
| 111 |  |  |  |  |  |  |  | 
| 112 |  |  |  |  |  |  | =head3 Arguments | 
| 113 |  |  |  |  |  |  |  | 
| 114 |  |  |  |  |  |  | =over | 
| 115 |  |  |  |  |  |  |  | 
| 116 |  |  |  |  |  |  | =item * B<$alpha> â right ascension | 
| 117 |  |  |  |  |  |  |  | 
| 118 |  |  |  |  |  |  | =item * B<$delta> â declination | 
| 119 |  |  |  |  |  |  |  | 
| 120 |  |  |  |  |  |  | =item * B<$epsilon> â ecliptic obliquity | 
| 121 |  |  |  |  |  |  |  | 
| 122 |  |  |  |  |  |  | =back | 
| 123 |  |  |  |  |  |  |  | 
| 124 |  |  |  |  |  |  | =head3 Returns | 
| 125 |  |  |  |  |  |  |  | 
| 126 |  |  |  |  |  |  | Ecliptic coordinates: | 
| 127 |  |  |  |  |  |  |  | 
| 128 |  |  |  |  |  |  | =over | 
| 129 |  |  |  |  |  |  |  | 
| 130 |  |  |  |  |  |  | =item * B<$lambda> | 
| 131 |  |  |  |  |  |  |  | 
| 132 |  |  |  |  |  |  | =item * B<$beta> | 
| 133 |  |  |  |  |  |  |  | 
| 134 |  |  |  |  |  |  | =back | 
| 135 |  |  |  |  |  |  |  | 
| 136 |  |  |  |  |  |  | All arguments and return values are in degrees. | 
| 137 |  |  |  |  |  |  |  | 
| 138 |  |  |  |  |  |  | =head2 ecl2equ($lambda, $beta, $epsilon) | 
| 139 |  |  |  |  |  |  |  | 
| 140 |  |  |  |  |  |  | Conversion of ecliptic into equatorial coordinates | 
| 141 |  |  |  |  |  |  |  | 
| 142 |  |  |  |  |  |  | =head3 Arguments | 
| 143 |  |  |  |  |  |  |  | 
| 144 |  |  |  |  |  |  | =over | 
| 145 |  |  |  |  |  |  |  | 
| 146 |  |  |  |  |  |  | =item * B<$lambda> â celestial longitude | 
| 147 |  |  |  |  |  |  |  | 
| 148 |  |  |  |  |  |  | =item * B<$beta> â celestial latitude | 
| 149 |  |  |  |  |  |  |  | 
| 150 |  |  |  |  |  |  | =item * B<$epsilon> â ecliptic obliquity | 
| 151 |  |  |  |  |  |  |  | 
| 152 |  |  |  |  |  |  | =back | 
| 153 |  |  |  |  |  |  |  | 
| 154 |  |  |  |  |  |  | =head3 Returns | 
| 155 |  |  |  |  |  |  |  | 
| 156 |  |  |  |  |  |  | Equatorial coordinates: | 
| 157 |  |  |  |  |  |  |  | 
| 158 |  |  |  |  |  |  | =over | 
| 159 |  |  |  |  |  |  |  | 
| 160 |  |  |  |  |  |  | =item * B<$alpha> â right ascension | 
| 161 |  |  |  |  |  |  |  | 
| 162 |  |  |  |  |  |  | =item * B<$delta> â declination | 
| 163 |  |  |  |  |  |  |  | 
| 164 |  |  |  |  |  |  | =back | 
| 165 |  |  |  |  |  |  |  | 
| 166 |  |  |  |  |  |  | All arguments and return values are in degrees. | 
| 167 |  |  |  |  |  |  |  | 
| 168 |  |  |  |  |  |  |  | 
| 169 |  |  |  |  |  |  | =head2 equ2hor($h, $delta, $phi) | 
| 170 |  |  |  |  |  |  |  | 
| 171 |  |  |  |  |  |  | Conversion of equatorial into horizontal coordinates | 
| 172 |  |  |  |  |  |  |  | 
| 173 |  |  |  |  |  |  | =head3 Arguments | 
| 174 |  |  |  |  |  |  |  | 
| 175 |  |  |  |  |  |  | =over | 
| 176 |  |  |  |  |  |  |  | 
| 177 |  |  |  |  |  |  | =item * | 
| 178 |  |  |  |  |  |  |  | 
| 179 |  |  |  |  |  |  | B<$h> â the local hour angle, in degrees, measured westwards from the South. | 
| 180 |  |  |  |  |  |  | C<h = Local Sidereal Time - Right Ascension> | 
| 181 |  |  |  |  |  |  |  | 
| 182 |  |  |  |  |  |  | =item * | 
| 183 |  |  |  |  |  |  |  | 
| 184 |  |  |  |  |  |  | B<$delta> â declination, in arc-degrees | 
| 185 |  |  |  |  |  |  |  | 
| 186 |  |  |  |  |  |  | =item * | 
| 187 |  |  |  |  |  |  |  | 
| 188 |  |  |  |  |  |  | B<$phi> â the observer's latitude, in arc-degrees, positive in the nothern | 
| 189 |  |  |  |  |  |  | hemisphere, negative in the southern hemisphere. | 
| 190 |  |  |  |  |  |  |  | 
| 191 |  |  |  |  |  |  | =back | 
| 192 |  |  |  |  |  |  |  | 
| 193 |  |  |  |  |  |  | =head3 Returns | 
| 194 |  |  |  |  |  |  |  | 
| 195 |  |  |  |  |  |  | Horizontal coordinates: | 
| 196 |  |  |  |  |  |  |  | 
| 197 |  |  |  |  |  |  | =over | 
| 198 |  |  |  |  |  |  |  | 
| 199 |  |  |  |  |  |  | =item * B<azimuth>, in degrees, measured westward from the South | 
| 200 |  |  |  |  |  |  |  | 
| 201 |  |  |  |  |  |  | =item * B<altitude>, in degrees, positive above the horizon | 
| 202 |  |  |  |  |  |  |  | 
| 203 |  |  |  |  |  |  | =back | 
| 204 |  |  |  |  |  |  |  | 
| 205 |  |  |  |  |  |  | =head2 hor2equ($az, $alt, $phi) | 
| 206 |  |  |  |  |  |  |  | 
| 207 |  |  |  |  |  |  | Convert horizontal to equatorial coordinates. | 
| 208 |  |  |  |  |  |  |  | 
| 209 |  |  |  |  |  |  | =head3 Arguments | 
| 210 |  |  |  |  |  |  |  | 
| 211 |  |  |  |  |  |  | =over | 
| 212 |  |  |  |  |  |  |  | 
| 213 |  |  |  |  |  |  | =item * | 
| 214 |  |  |  |  |  |  |  | 
| 215 |  |  |  |  |  |  | B<$az> â azimuth, in degrees, measured westward from the South | 
| 216 |  |  |  |  |  |  |  | 
| 217 |  |  |  |  |  |  | =item * | 
| 218 |  |  |  |  |  |  |  | 
| 219 |  |  |  |  |  |  | B<$alt> â altitude, in degrees, positive above the horizon | 
| 220 |  |  |  |  |  |  |  | 
| 221 |  |  |  |  |  |  | =item * | 
| 222 |  |  |  |  |  |  |  | 
| 223 |  |  |  |  |  |  | B<$phi> â the observer's latitude, in arc-degrees, positive in the nothern | 
| 224 |  |  |  |  |  |  | hemisphere, negative in the southern hemisphere. | 
| 225 |  |  |  |  |  |  |  | 
| 226 |  |  |  |  |  |  | =back | 
| 227 |  |  |  |  |  |  |  | 
| 228 |  |  |  |  |  |  | =head3 Returns | 
| 229 |  |  |  |  |  |  |  | 
| 230 |  |  |  |  |  |  | Horizontal coordinates: | 
| 231 |  |  |  |  |  |  |  | 
| 232 |  |  |  |  |  |  | =over | 
| 233 |  |  |  |  |  |  |  | 
| 234 |  |  |  |  |  |  | =item * hour angle, in arc-degrees | 
| 235 |  |  |  |  |  |  |  | 
| 236 |  |  |  |  |  |  | =item * declination, in arc-degrees | 
| 237 |  |  |  |  |  |  |  | 
| 238 |  |  |  |  |  |  | =back | 
| 239 |  |  |  |  |  |  |  | 
| 240 |  |  |  |  |  |  |  | 
| 241 |  |  |  |  |  |  | =head1 SUPPORT | 
| 242 |  |  |  |  |  |  |  | 
| 243 |  |  |  |  |  |  | You can find documentation for this module with the perldoc command. | 
| 244 |  |  |  |  |  |  |  | 
| 245 |  |  |  |  |  |  | perldoc Astro::Montenbruck::CoCo | 
| 246 |  |  |  |  |  |  |  | 
| 247 |  |  |  |  |  |  | =head1 AUTHOR | 
| 248 |  |  |  |  |  |  |  | 
| 249 |  |  |  |  |  |  | Sergey Krushinsky, C<< <krushi at cpan.org> >> | 
| 250 |  |  |  |  |  |  |  | 
| 251 |  |  |  |  |  |  | =head1 COPYRIGHT AND LICENSE | 
| 252 |  |  |  |  |  |  |  | 
| 253 |  |  |  |  |  |  | Copyright (C) 2009-2019 by Sergey Krushinsky | 
| 254 |  |  |  |  |  |  |  | 
| 255 |  |  |  |  |  |  | This library is free software; you can redistribute it and/or modify | 
| 256 |  |  |  |  |  |  | it under the same terms as Perl itself. | 
| 257 |  |  |  |  |  |  |  | 
| 258 |  |  |  |  |  |  | =cut |