[4] | 1 | # Various utilities
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| 2 |
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[89] | 3 | import math
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| 4 |
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| 5 | #------------------------------------------------------------------------------
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| 6 |
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| 7 | # The average of the radius at the poles and a the equator, in metres
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| 8 | #EARTH_RADIUS=6367467.4
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| 9 | EARTH_RADIUS=6371000
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| 10 | #EARTH_RADIUS=6378137
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| 11 |
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| 12 | #------------------------------------------------------------------------------
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| 13 |
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| 14 | def getDegMinSec(degrees):
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| 15 | """Break up the given floating point degrees value into a tuple.
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| 16 |
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| 17 | The tuple contains 4 items:
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| 18 | - the degrees as an integer
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| 19 | - the minutes as an integer
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| 20 | - the seconds as an integer
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| 21 | - 1.0 if the value was non-negative, -1.0 if it was negative."""
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| 22 |
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| 23 | if degrees<0:
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| 24 | degrees = -degrees
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| 25 | mul = -1.0
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| 26 | else:
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| 27 | mul = 1.0
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| 28 |
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| 29 | deg = int(degrees)
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| 30 | min = int((degrees*60.0)%60.0)
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| 31 | sec = int((degrees*3600.0)%60.0)
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| 32 |
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| 33 | return (deg, min, sec, mul)
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| 34 |
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| 35 | #------------------------------------------------------------------------------
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| 36 |
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| 37 | def getCoordinateString((latitude, longitude)):
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| 38 | """Get the string representation of the given coordinate pair."""
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| 39 |
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| 40 | latitude_str = getLatitudeString(latitude)
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| 41 | longitude_str = getLongitudeString(longitude)
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| 42 |
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| 43 | return latitude_str + " " + longitude_str
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| 44 |
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| 45 | #------------------------------------------------------------------------------
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| 46 |
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| 47 | def getLatitudeString(latitude):
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| 48 | """Get a string representation of the given latitude."""
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| 49 | return getDegreeString(latitude, ["N", "S"])
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| 50 |
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| 51 | #------------------------------------------------------------------------------
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| 52 |
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| 53 | def getLongitudeString(longitude):
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| 54 | """Get a string representation of the given longitude."""
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| 55 |
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| 56 | return getDegreeString(longitude, ["E", "W"])
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| 57 |
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| 58 | #------------------------------------------------------------------------------
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| 59 |
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| 60 | def getDegreeString(degree, prefixes):
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| 61 | """Get a string representation of the given degree.
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| 62 |
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| 63 | If the sign is positive, prefixes[0], otherwise prefixes[1] will be
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| 64 | prepended to the string."""
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| 65 |
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| 66 | if degree<0:
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| 67 | prefix = prefixes[1]
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| 68 | else:
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| 69 | prefix = prefixes[0]
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| 70 |
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| 71 | (deg, min, sec, _sign) = getDegMinSec(degree)
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| 72 |
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| 73 | return u"%s%d\u00b0%02d\u2032%02d\u2033" % (prefix, deg, min, sec)
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| 74 |
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| 75 | #------------------------------------------------------------------------------
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| 76 |
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| 77 | def getTimeIntervalString(seconds):
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| 78 | """Get a more human-friendly representation of the given time interval
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| 79 | expressed in seconds."""
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| 80 | hours = int(seconds / 3600)
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| 81 | minutes = int((seconds / 60) % 60)
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| 82 | seconds = int(seconds % 60)
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| 83 | return "%d:%02d:%02d" % (hours, minutes, seconds)
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| 84 |
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| 85 | #------------------------------------------------------------------------------
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| 86 |
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| 87 | def km2nm(km):
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| 88 | """Convert the given kilometres into nautical miles."""
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| 89 | return km/1.852
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| 90 |
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| 91 | #------------------------------------------------------------------------------
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| 92 |
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| 93 | def nm2km(nm):
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| 94 | """Convert the given nautical miles into kilometres."""
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| 95 | return nm*1.852
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| 96 |
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| 97 | #------------------------------------------------------------------------------
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| 98 |
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| 99 | def radians2km(radians):
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| 100 | """Convert the given radians into kilometres"""
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| 101 | return radians * EARTH_RADIUS / 1000.0
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| 102 |
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| 103 | #------------------------------------------------------------------------------
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| 104 |
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| 105 | def radians2nm(radians):
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| 106 | """Convert the given radians into nautical miles."""
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| 107 | return km2nm(radians2km(radians))
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| 108 |
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| 109 | #------------------------------------------------------------------------------
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| 110 |
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| 111 | def getDistCourse(latitude1, longitude1, latitude2, longitude2):
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| 112 | """Get the distance and course between the two geographical coordinates.
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| 113 |
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| 114 | This function calculates the rhumb distance."""
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| 115 |
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| 116 | latitude1 = math.radians(latitude1)
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| 117 | longitude1 = math.radians(longitude1)
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| 118 |
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| 119 | latitude2 = math.radians(latitude2)
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| 120 | longitude2 = math.radians(longitude2)
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| 121 |
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| 122 | dlon_W = (longitude1 - longitude2) % (math.pi*2)
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| 123 | dlon_E = (longitude2 - longitude1) % (math.pi*2)
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| 124 |
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| 125 | dphi = math.log(math.tan(latitude2/2 + math.pi/4)/
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| 126 | math.tan(latitude1/2 + math.pi/4))
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| 127 |
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| 128 | if abs(latitude1-latitude2) < math.sqrt(1e-15):
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| 129 | q = math.cos(latitude1)
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| 130 | else:
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| 131 | q = (latitude1-latitude2)/dphi
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| 132 |
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| 133 | if dlon_W < dlon_E:
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| 134 | tc = math.atan2(-dlon_W, dphi) % (math.pi*2)
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| 135 | d = math.sqrt(math.pow(q*dlon_W, 2) +
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| 136 | math.pow(latitude1-latitude2, 2))
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| 137 | else:
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| 138 | tc = math.atan2(dlon_E, dphi) % (math.pi*2)
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| 139 | d = math.sqrt(math.pow(q*dlon_E, 2) +
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| 140 | math.pow(latitude1-latitude2, 2))
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| 141 |
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| 142 | return (radians2nm(d), math.degrees(tc))
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| 143 |
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