7.6 KiB
Functions for Working with Geographical Coordinates
greatCircleDistance
Calculate the distance between two points on the Earth's surface using the great-circle formula.
greatCircleDistance(lon1Deg, lat1Deg, lon2Deg, lat2Deg)
Input parameters
lon1Deg
— Longitude of the first point in degrees. Range:[-180°, 180°]
.lat1Deg
— Latitude of the first point in degrees. Range:[-90°, 90°]
.lon2Deg
— Longitude of the second point in degrees. Range:[-180°, 180°]
.lat2Deg
— Latitude of the second point in degrees. Range:[-90°, 90°]
.
Positive values correspond to North latitude and East longitude, and negative values correspond to South latitude and West longitude.
Returned value
The distance between two points on the Earth's surface, in meters.
Generates an exception when the input parameter values fall outside of the range.
Example
SELECT greatCircleDistance(55.755831, 37.617673, -55.755831, -37.617673)
┌─greatCircleDistance(55.755831, 37.617673, -55.755831, -37.617673)─┐
│ 14132374.194975413 │
└───────────────────────────────────────────────────────────────────┘
pointInEllipses
Checks whether the point belongs to at least one of the ellipses. Coordinates are geometric in the Cartesian coordinate system.
pointInEllipses(x, y, x₀, y₀, a₀, b₀,...,xₙ, yₙ, aₙ, bₙ)
Input parameters
x, y
— Coordinates of a point on the plane.xᵢ, yᵢ
— Coordinates of the center of thei
-th ellipsis.aᵢ, bᵢ
— Axes of thei
-th ellipsis in units of x, y coordinates.
The input parameters must be 2+4⋅n
, where n
is the number of ellipses.
Returned values
1
if the point is inside at least one of the ellipses; 0
if it is not.
Example
SELECT pointInEllipses(10., 10., 10., 9.1, 1., 0.9999)
┌─pointInEllipses(10., 10., 10., 9.1, 1., 0.9999)─┐
│ 1 │
└─────────────────────────────────────────────────┘
pointInPolygon
Checks whether the point belongs to the polygon on the plane.
pointInPolygon((x, y), [(a, b), (c, d) ...], ...)
Input values
(x, y)
— Coordinates of a point on the plane. Data type — Tuple — A tuple of two numbers.[(a, b), (c, d) ...]
— Polygon vertices. Data type — Array. Each vertex is represented by a pair of coordinates(a, b)
. Vertices should be specified in a clockwise or counterclockwise order. The minimum number of vertices is 3. The polygon must be constant.- The function also supports polygons with holes (cut out sections). In this case, add polygons that define the cut out sections using additional arguments of the function. The function does not support non-simply-connected polygons.
Returned values
1
if the point is inside the polygon, 0
if it is not.
If the point is on the polygon boundary, the function may return either 0 or 1.
Example
SELECT pointInPolygon((3., 3.), [(6, 0), (8, 4), (5, 8), (0, 2)]) AS res
┌─res─┐
│ 1 │
└─────┘
geohashEncode
Encodes latitude and longitude as a geohash-string, please see (http://geohash.org/, https://en.wikipedia.org/wiki/Geohash).
geohashEncode(longitude, latitude, [precision])
Input values
- longitude - longitude part of the coordinate you want to encode. Floating in range
[-180°, 180°]
- latitude - latitude part of the coordinate you want to encode. Floating in range
[-90°, 90°]
- precision - Optional, length of the resulting encoded string, defaults to
12
. Integer in range[1, 12]
. Any value less than1
or greater than12
is silently converted to12
.
Returned values
- alphanumeric
String
of encoded coordinate (modified version of the base32-encoding alphabet is used).
Example
SELECT geohashEncode(-5.60302734375, 42.593994140625, 0) AS res
┌─res──────────┐
│ ezs42d000000 │
└──────────────┘
geohashDecode
Decodes any geohash-encoded string into longitude and latitude.
Input values
- encoded string - geohash-encoded string.
Returned values
- (longitude, latitude) - 2-tuple of
Float64
values of longitude and latitude.
Example
SELECT geohashDecode('ezs42') AS res
┌─res─────────────────────────────┐
│ (-5.60302734375,42.60498046875) │
└─────────────────────────────────┘
geoToH3
Returns H3 point index (lon, lat)
with specified resolution.
H3 is a geographical indexing system where Earth's surface divided into even hexagonal tiles. This system is hierarchical, i. e. each hexagon on the top level can be splitted into seven even but smaller ones and so on.
This index is used primarily for bucketing locations and other geospatial manipulations.
Syntax
geoToH3(lon, lat, resolution)
Parameters
lon
— Longitude. Type: Float64.lat
— Latitude. Type: Float64.resolution
— Index resolution. Range:[0, 15]
. Type: UInt8.
Returned values
- Hexagon index number.
- 0 in case of error.
Type: UInt64
.
Example
Query:
SELECT geoToH3(37.79506683, 55.71290588, 15) as h3Index
Result:
┌────────────h3Index─┐
│ 644325524701193974 │
└────────────────────┘
geohashesInBox
Returns an array of geohash-encoded strings of given precision that fall inside and intersect boundaries of given box, basically a 2D grid flattened into array.
Input values
- longitude_min - min longitude, floating value in range
[-180°, 180°]
- latitude_min - min latitude, floating value in range
[-90°, 90°]
- longitude_max - max longitude, floating value in range
[-180°, 180°]
- latitude_max - max latitude, floating value in range
[-90°, 90°]
- precision - geohash precision,
UInt8
in range[1, 12]
Please note that all coordinate parameters should be of the same type: either Float32
or Float64
.
Returned values
- array of precision-long strings of geohash-boxes covering provided area, you should not rely on order of items.
- [] - empty array if min values of latitude and longitude aren't less than corresponding max values.
Please note that function will throw an exception if resulting array is over 10'000'000 items long.
Example
SELECT geohashesInBox(24.48, 40.56, 24.785, 40.81, 4) AS thasos
┌─thasos──────────────────────────────────────┐
│ ['sx1q','sx1r','sx32','sx1w','sx1x','sx38'] │
└─────────────────────────────────────────────┘