Class: Geospatial::Location

Inherits:
Object
  • Object
show all
Includes:
Comparable
Defined in:
lib/geospatial/location.rb

Overview

This location is specifically relating to a WGS84 coordinate on Earth.

Constant Summary collapse

WGS84_A =

WGS 84 semi-major axis constant in meters

6378137.0
WGS84_B =

WGS 84 semi-minor axis constant in meters

6356752.3
R =

Earth Radius

(WGS84_A + WGS84_B) / 2.0
WGS84_E =

WGS 84 eccentricity

8.1819190842622e-2
R2D =

Radians to degrees multiplier

(180.0 / Math::PI)
D2R =
(Math::PI / 180.0)
MIN_LONGITUDE =
-180 * D2R
MAX_LONGITUDE =
180 * D2R
VALID_LONGITUDE =
MIN_LONGITUDE...MAX_LONGITUDE
MIN_LATITUDE =
-90.0 * D2R
MAX_LATITUDE =
90 * D2R
VALID_LATITUDE =
MIN_LATITUDE...MAX_LATITUDE

Instance Attribute Summary collapse

Class Method Summary collapse

Instance Method Summary collapse

Constructor Details

#initialize(longitude, latitude) ⇒ Location

Returns a new instance of Location.



73
74
75
76
# File 'lib/geospatial/location.rb', line 73

def initialize(longitude, latitude)
  @longitude = longitude
  @latitude = latitude
end

Instance Attribute Details

#latitudeObject (readonly)

-90 -> 90 (equivalent to y)



107
108
109
# File 'lib/geospatial/location.rb', line 107

def latitude
  @latitude
end

#longitudeObject (readonly)

-180 -> 180 (equivalent to x)



106
107
108
# File 'lib/geospatial/location.rb', line 106

def longitude
  @longitude
end

Class Method Details

.from_ecef(x, y, z) ⇒ Object



50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
# File 'lib/geospatial/location.rb', line 50

def from_ecef(x, y, z)
  # Constants (WGS ellipsoid)
  a = WGS84_A
  e = WGS84_E
    
  b = Math::sqrt((a*a) * (1.0-(e*e)))
  ep = Math::sqrt(((a*a)-(b*b))/(b*b))
  
  p = Math::sqrt((x*x)+(y*y))
  th = Math::atan2(a*z, b*p)
  
  lon = Math::atan2(y, x)
  lat = Math::atan2((z+ep*ep*b*(Math::sin(th) ** 3)), (p-e*e*a*(Math::cos(th)**3)))
  
  # n = a / Math::sqrt(1.0-e*e*(Math::sin(lat) ** 2))
  # alt = p / Math::cos(lat)-n
  
  return self.new(lat*R2D, lon*R2D)
end

Instance Method Details

#-(other) ⇒ Object



199
200
201
# File 'lib/geospatial/location.rb', line 199

def - other
  Distance.new(self.distance_from(other))
end

#<=>(other) ⇒ Object



100
101
102
# File 'lib/geospatial/location.rb', line 100

def <=> other
  to_a <=> other.to_a
end

#bearing_from(other) ⇒ Object



176
177
178
179
180
181
182
183
184
185
186
# File 'lib/geospatial/location.rb', line 176

def bearing_from(other)
  lon1 = other.longitude * D2R 
  lat1 = other.latitude * D2R 
  lon2 = self.longitude * D2R 
  lat2 = self.latitude * D2R 
  
  return Math::atan2(
    Math::sin(lon2 - lon1) * Math::cos(lat2),
    Math::cos(lat1) * Math::sin(lat2) - Math::sin(lat1) * Math::cos(lat2) * Math::cos(lon2-lon1)
  ) * R2D
end

#bounding_box(distance, radius = R) ⇒ Object

Raises:

  • (ArgumentError)


110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
# File 'lib/geospatial/location.rb', line 110

def bounding_box(distance, radius = R)
  raise ArgumentError.new("Invalid distance or radius") if distance < 0 or radius < 0

  # angular distance in radians on a great circle
  angular_distance = distance / radius

  min_latitude = (self.latitude * D2R) - angular_distance
  max_latitude = (self.latitude * D2R) + angular_distance

  if min_latitude > MIN_LATITUDE and max_latitude < MAX_LATITUDE
    longitude_delta = Math::asin(Math::sin(angular_distance) / Math::cos(self.latitude * D2R))
    
    min_longitude = (self.longitude * D2R) - longitude_delta
    min_longitude += 2.0 * Math::PI if (min_longitude < MIN_LONGITUDE)
    
    max_longitude = (self.longitude * D2R) + longitude_delta;
    max_longitude -= 2.0 * Math::PI if (max_longitude > MAX_LONGITUDE)
  else
    # a pole is within the distance
    min_latitude = [min_latitude, MIN_LATITUDE].max
    max_latitude = [max_latitude, MAX_LATITUDE].min
    
    min_longitude = MIN_LONGITUDE
    max_longitude = MAX_LONGITUDE
  end
  
  return {
    :latitude => Range.new(min_latitude * R2D, max_latitude * R2D),
    :longitude => Range.new(min_longitude * R2D, max_longitude * R2D),
  }
end

#distance_from(other) ⇒ Object

calculate distance in metres between us and something else ref: codingandweb.blogspot.co.nz/2012/04/calculating-distance-between-two-points.html



160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
# File 'lib/geospatial/location.rb', line 160

def distance_from(other)
  rlong1 = self.longitude * D2R
  rlat1 = self.latitude * D2R
  rlong2 = other.longitude * D2R
  rlat2 = other.latitude * D2R
  
  dlon = rlong1 - rlong2
  dlat = rlat1 - rlat2
  
  a = Math::sin(dlat/2) ** 2 + Math::cos(rlat1) * Math::cos(rlat2) * Math::sin(dlon/2) ** 2
  c = 2 * Math::atan2(Math::sqrt(a), Math::sqrt(1-a))
  d = R * c
  
  return d
end

#location_by(bearing, distance) ⇒ Object



188
189
190
191
192
193
194
195
196
197
# File 'lib/geospatial/location.rb', line 188

def location_by(bearing, distance)
  lon1 = self.longitude * D2R
  lat1 = self.latitude * D2R
  
  lat2 = Math::asin(Math::sin(lat1)*Math::cos(distance/R) + Math::cos(lat1)*Math::sin(distance/R)*Math::cos(bearing * D2R))
  
  lon2 = lon1 + Math::atan2(Math::sin(bearing * D2R)*Math::sin(distance/R)*Math::cos(lat1), Math::cos(distance/R)-Math::sin(lat1)*Math::sin(lat2))
  
  return self.class.new(lon2 * R2D, lat2 * R2D)
end

#to_aObject



82
83
84
# File 'lib/geospatial/location.rb', line 82

def to_a
  [@longitude, @latitude]
end

#to_aryObject



86
87
88
# File 'lib/geospatial/location.rb', line 86

def to_ary
  to_a
end

#to_ecefObject

Converts latitude, longitude to ECEF coordinate system



143
144
145
146
147
148
149
150
151
152
153
154
155
156
# File 'lib/geospatial/location.rb', line 143

def to_ecef
  clon = Math::cos(lon * D2R)
  slon = Math::sin(lon * D2R)
  clat = Math::cos(lat * D2R)
  slat = Math::sin(lat * D2R)

  n = WGS84_A / Math::sqrt(1.0 - WGS84_E * WGS84_E * slat * slat)

  x = n * clat * clon
  y = n * clat * slon
  z = n * (1.0 - WGS84_E * WGS84_E) * slat
  
  return x, y, z
end

#to_hObject



90
91
92
# File 'lib/geospatial/location.rb', line 90

def to_h
  {latitude: @latitude, longitude: @longitude}
end

#to_sObject Also known as: inspect



94
95
96
# File 'lib/geospatial/location.rb', line 94

def to_s
  "#{self.class}[#{self.longitude.to_f}, #{self.latitude.to_f}]"
end

#valid?Boolean

Returns:

  • (Boolean)


78
79
80
# File 'lib/geospatial/location.rb', line 78

def valid?
  VALID_LONGITUDE.include?(longitude) and VALID_LATITUDE.include?(latitude)
end