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#=Copyright Infomation |
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#========================================================== |
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#Module Name : Religion::Islam::Qibla |
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#Program Author : Dr. Ahmed Amin Elsheshtawy, Ph.D. Physics, E.E. |
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#Home Page : http://www.islamware.com, http://www.mewsoft.com |
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#Contact Email : support@islamware.com, support@mewsoft.com |
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#Copyrights © 2006-2013 IslamWare. All rights reserved. |
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#========================================================== |
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package Religion::Islam::Qibla; |
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use Carp; |
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use strict; |
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use warnings; |
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our $VERSION = '2.0'; |
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use constant PI => 4 * atan2(1, 1); #3.1415926535897932 PI=22/7, Pi = Atn(1) * 4 |
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use constant DtoR => PI / 180; # Degree to Radians |
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use constant RtoD => 180 / PI; # Radians to Degrees |
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#========================================================== |
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#========================================================== |
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sub new { |
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my ($class, %args) = @_; |
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my $self = bless {}, $class; |
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# Default destination point is the Kabah Lat=21 Deg N, Long 40 Deg E |
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$self->{DestLat} = $args{DestLat}? $args{DestLat}: 21; |
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$self->{DestLong} = $args{DestLong}? $args{DestLong}: 40; |
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return $self; |
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} |
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#========================================================== |
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sub DestLat { |
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my ($self) = shift; |
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$self->{DestLat} = shift if @_; |
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return $self->{DestLat}; |
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} |
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#========================================================== |
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sub DestLong { |
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my ($self) = shift; |
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$self->{DestLong} = shift if @_; |
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return $self->{DestLong}; |
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} |
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#========================================================== |
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#Inverse Cosine, ArcCos |
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sub acos { |
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my ($self, $x) = @_; |
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return ($x<-1 or $x>1) ? undef : (atan2(sqrt(1-$x*$x),$x) ); |
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} |
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#========================================================== |
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#Converting from Degrees, Minutes and Seconds to Decimal Degrees |
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sub DegreeToDecimal { |
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my ($self, $degrees, $minutes, $seconds) = @_; |
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return $degrees + ($minutes / 60) + ($seconds / 3600); |
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} |
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#========================================================== |
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#Converting from Decimal Degrees to Degrees, Minutes and Seconds |
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sub DecimalToDegree { |
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my ($self, $decimal_degree) = @_; |
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my ($degrees, $minutes, $seconds, $ff); |
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$degrees = int($decimal_degree); |
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$ff = $decimal_degree - $degrees; |
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$minutes = int(60 * $ff); |
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$seconds = 60 * ((60 * $ff) - $minutes); |
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return ($degrees, $minutes, $seconds); |
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} |
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#========================================================== |
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# The shortest distance between points 1 and 2 on the earth's surface is |
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# d = arccos{cos(Dlat) - [1 - cos(Dlong)]cos(lat1)cos(lat2)} |
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# Dlat = lab - lat2 |
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# Dlong = 10ng• - long2 |
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# lati, = latitude of point i |
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# longi, = longitude of point i |
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75
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#Conversion of grad to degrees is as follows: |
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#Grad=400-degrees/0.9 or Degrees=0.9x(400-Grad) |
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#Latitude is determined by the earth's polar axis. Longitude is determined |
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#by the earth's rotation. If you can see the stars and have a sextant and |
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#a good clock set to Greenwich time, you can find your latitude and longitude. |
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82
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# one nautical mile equals to: |
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# 6076.10 feet |
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# 2027 yards |
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# 1.852 kilometers |
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# 1.151 statute mile |
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# Calculates the distance between any two points on the Earth |
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sub GreatCircleDistance { |
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my ($self, $orig_lat , $dest_lat, $orig_long, $dest_long) = @_; |
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my ($d, $l1, $l2, $i1, $i2); |
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93
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$l1 = $orig_lat * DtoR; |
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$l2 = $dest_lat * DtoR; |
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$i1 = $orig_long * DtoR; |
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$i2 = $dest_long * DtoR; |
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$d = $self->acos(cos($l1 - $l2) - (1 - cos($i1 - $i2)) * cos($l1) * cos($l2)); |
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# One degree of such an arc on the earth's surface is 60 international nautical miles NM |
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return $d * 60 * RtoD; |
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} |
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#========================================================== |
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#Calculates the direction from one point to another on the Earth |
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# a = arccos{[sin(lat2) - cos(d + lat1 - 1.5708)]/cos(lat1)/sin(d) + 1} |
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105
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# Great Circle Bearing |
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sub GreatCircleDirection { |
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my ($self, $orig_lat, $dest_lat, $orig_long, $dest_long, $distance) = @_; |
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my ($a, $b, $d, $l1, $l2, $i1, $i2, $result, $dlong); |
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110
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$l1 = $orig_lat * DtoR; |
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$l2 = $dest_lat * DtoR; |
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$d = ($distance / 60) * DtoR; # divide by 60 for nautical miles NM to degree |
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114
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$i1 = $orig_long * DtoR; |
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$i2 = $dest_long * DtoR; |
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$dlong = $i1 - $i2; |
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117
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118
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$a = sin($l2) - cos($d + $l1 - PI / 2); |
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$b = $self->acos($a / (cos($l1) * sin($d)) + 1); |
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120
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121
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#If (Abs(Dlong) < pi And Dlong < 0) Or (Abs(Dlong) > pi And Dlong > 0) Then |
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# Result = (2 * pi) - B |
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#Else |
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# Result = B |
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#End If |
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126
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127
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$result = $b; |
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return $result * RtoD; |
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} |
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#========================================================== |
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#The Equivalent Earth redius is 6,378.14 Kilometers. |
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# Calculates the direction of the Qibla from any point on |
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# the Earth From North Clocklwise |
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sub QiblaDirection { |
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135
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my ($self, $orig_lat, $orig_long) = @_; |
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136
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my ($distance, $bearing); |
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137
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138
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# Kabah Lat=21 Deg N, Long 40 Deg E |
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139
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$distance = $self->GreatCircleDistance($orig_lat, $self->{DestLat}, $orig_long, $self->{DestLong}); |
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0
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$bearing = $self->GreatCircleDirection($orig_lat, $self->{DestLat}, $orig_long, $self->{DestLong}, $distance); |
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0
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return $bearing; |
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142
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} |
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143
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#========================================================== |
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144
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#========================================================== |
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145
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146
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1; |
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147
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148
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=head1 NAME |
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149
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150
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Religion::Islam::Qibla - Calculates the Muslim Qiblah Direction, Great Circle Distance, and Great Circle Direction |
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151
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152
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=head1 SYNOPSIS |
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153
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154
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use Religion::Islam::Qibla; |
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155
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#create new object with default options, Destination point is Kabah Lat=21 Deg N, Long 40 Deg E |
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156
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my $qibla = Religion::Islam::Qibla->new(); |
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158
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# OR |
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#create new object and set your destination point Latitude and/or Longitude |
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my $qibla = Religion::Islam::Qibla->new(DestLat => 21, DestLong => 40); |
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161
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162
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# Calculate the Qibla direction From North Clocklwise for Cairo : Lat=30.1, Long=31.3 |
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163
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my $Latitude = 30.1; |
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164
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my $Longitude = 31.3; |
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165
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my $QiblaDirection = $qibla->QiblaDirection($Latitude, $Longitude); |
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166
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print "The Qibla Direction for $Latitude and $Longitude From North Clocklwise is: " . $QiblaDirection ."\n"; |
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167
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168
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# Calculates the distance between any two points on the Earth |
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169
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my $orig_lat = 31; my $dest_lat = 21; my $orig_long = 31.3; $dest_long = 40; |
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170
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my $distance = $qibla->GreatCircleDistance($orig_lat , $dest_lat, $orig_long, $dest_long); |
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171
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print "The distance is: $distance \n"; |
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172
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173
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# Calculates the direction from one point to another on the Earth. Great Circle Bearing |
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174
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my $direction = $qibla->GreatCircleDirection($orig_lat, $dest_lat, $orig_long, $dest_long, $distance); |
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175
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print "The direction is: $direction \n"; |
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176
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177
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# You can get and set the distination point Latitude and Longitude |
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# $qibla->DestLat(21); # set distination Latitude |
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179
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# $qibla->DestLong(40); # set distincatin Longitude |
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180
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print "Destination Latitude:" . $qibla->DestLat(); |
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181
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print "Destination Longitude:" . $qibla->DestLong(); |
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182
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183
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=head1 DESCRIPTION |
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184
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185
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This module calculates the Qibla direction where muslim prayers directs their face. It |
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186
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also calculates and uses the Great Circle Distance and Great Circle Direction. |
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187
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188
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=head1 SEE ALSO |
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189
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190
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191
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192
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193
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194
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195
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=head1 AUTHOR |
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196
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197
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Ahmed Amin Elsheshtawy, |
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198
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Website: http://www.islamware.com http://www.mewsoft.com |
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199
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200
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=head1 COPYRIGHT AND LICENSE |
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201
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202
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Copyright (C) 2006-2013 by Ahmed Amin Elsheshtawy support@islamware.com, support@mewsoft.com |
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L L |
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204
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205
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This library is free software; you can redistribute it and/or modify |
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it under the same terms as Perl itself. |
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208
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=cut |