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pygeodesy
Package pygeodesy :: Package rhumb :: Module bases :: Class RhumbLineBase
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Class RhumbLineBase

  object --+            
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named._Named --+        
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named._NamedBase --+    
                   |    
    karney._CapsBase --+
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                      RhumbLineBase
Known Subclasses:

(INTERNAL) Base class for rhumb.aux_.RhumbLineAux and rhumb.ekx.RhumbLine.

Instance Methods
 
ArcPosition(self, a12, outmask=392)
Compute a point at a given angular distance on this rhumb line.
 
Intersecant2(self, lat0, lon0, radius, napier=True, **tol_eps)
Compute the intersection(s) of this rhumb line and a circle.
 
Intersection(self, other, tol=1.4901161193847656e-08, **eps)
Iteratively find the intersection of this and an other rhumb line.
 
Inverse(self, lat2, lon2, wrap=False, **outmask)
Return the rhumb angle, distance, azimuth, reverse azimuth, etc.
 
NearestOn(self, lat0, lon0, **exact_eps_est_tol)
DEPRECATED on 23.10.30, use method PlumbTo.
 
PlumbTo(self, lat0, lon0, exact=None, eps=2.220446049250313e-16, est=None, tol=1.4901161193847656e-08)
Compute the perpendicular intersection of this rhumb line with a geodesic from the given point (transcoded from Karney's C++ rhumb-intercept).
 
Position(self, s12, outmask=392)
Compute a point at a given distance on this rhumb line.
 
__del__(self)
 
__init__(self, rhumb, lat1, lon1, azi12, caps=1929, name='')
New RhumbLine or RhumbLineAux.
 
degrees2m(self, angle)
Convert an angular distance along this rhumb line to meter.
 
distance2(self, lat, lon)
DEPRECATED on 23.09.23, use method RhumbLineAux.Inverse or RhumbLine.Inverse.
 
intersection2(self, other, **tol_eps)
DEPRECATED on 23.10.10, use method Intersection.
 
m2degrees(self, distance)
Convert a distance along this rhumb line to an angular distance.
 
nearestOn4(self, lat0, lon0, **exact_eps_est_tol)
DEPRECATED on 23.10.10, use method PlumbTo.
 
toStr(self, prec=6, sep=', ', **unused)
Return this RhumbLine as string.

Inherited from karney._CapsBase: caps_

Inherited from named._NamedBase: __repr__, __str__, others, toRepr

Inherited from named._Named: __format__, __imatmul__, __matmul__, __rmatmul__, attrs, classof, copy, dup, methodname, rename, renamed, toStr2

Inherited from object: __delattr__, __getattribute__, __hash__, __new__, __reduce__, __reduce_ex__, __setattr__, __sizeof__, __subclasshook__

Class Variables

Inherited from karney._CapsBase: ALL, AREA, AZIMUTH, DISTANCE, DISTANCE_IN, EMPTY, GEODESICSCALE, LATITUDE, LINE_CAPS, LINE_OFF, LONGITUDE, LONG_UNROLL, REDUCEDLENGTH, STANDARD

Properties
  TMorder
Get this rhumb line's Transverse Mercator order (int, 4, 5, 6, 7 or 8).
  azi12
Get this rhumb line's azimuth (compass degrees).
  azi12_sincos2
Get the sine and cosine of this rhumb line's azimuth (2-tuple (sin, cos)).
  datum
Get this rhumb line's datum (Datum).
  ellipsoid
Get this rhumb line's ellipsoid (Ellipsoid).
  exact
Get this rhumb line's exact option (bool).
  isLoxodrome
Is this rhumb line a meridional (None), a parallel (False) or a True loxodrome?
  lat1
Get this rhumb line's latitude (degrees90).
  latlon1
Get this rhumb line's lat- and longitude (LatLon2Tuple(lat, lon)).
  lon1
Get this rhumb line's longitude (degrees180).
  rhumb
Get this rhumb line's rhumb (RhumbAux or Rhumb).
  xTM
Get this rhumb line's Transverse Mercator projection (ExactTransverseMercator if exact and ellipsoidal, otherwise KTransverseMercator for TMorder).

Inherited from karney._CapsBase: caps, debug

Inherited from named._Named: classname, classnaming, iteration, name, named, named2, named3, named4, sizeof

Inherited from object: __class__

Method Details

ArcPosition (self, a12, outmask=392)

 

Compute a point at a given angular distance on this rhumb line.

Arguments:
  • a12 - The angle along this rhumb line from its origin to the point (degrees), can be negative.
  • outmask - Bit-or'ed combination of Caps values specifying the quantities to be returned.
Returns:
GDict with 4 to 8 items azi12, a12, s12, S12, lat2, lon2, lat1, lon1 with latitude lat2 and longitude lon2 of the point in degrees, the rhumb distance s12 in meter from the start point of and the area S12 under this rhumb line in meter squared.
Raises:
  • ImportError - Package numpy not found or not installed, only required for RhumbLineAux area S12 when exact is True.

Note: If a12 is large enough that the rhumb line crosses a pole, the longitude of the second point is indeterminate and NAN is returned for lon2 and area S12.

If the first point is a pole, the cosine of its latitude is taken to be sqrt(EPS). This position is extremely close to the actual pole and allows the calculation to be carried out in finite terms.

Intersecant2 (self, lat0, lon0, radius, napier=True, **tol_eps)

 

Compute the intersection(s) of this rhumb line and a circle.

Arguments:
  • lat0 - Latitude of the circle center (degrees).
  • lon0 - Longitude of the circle center (degrees).
  • radius - Radius of the circle (meter, conventionally).
  • napier - If True, apply Napier's spherical triangle instead of planar trigonometry (bool).
  • tol_eps - Optional keyword arguments, see method method Intersection for further details.
Returns:
2-Tuple (P, Q) with both intersections (representing a rhumb chord), each a GDict from method Intersection extended to 18 items by lat3, lon3, azi03, a03, s03 with azimuth azi03 of, distance a03 in degrees and s03 in meter along the rhumb line from the circle lat0, lon0 to the chord center lat3, lon3. If this rhumb line is tangential to the circle, both points are the same GDict instance with distances s02 and s03 near-equal to the radius.
Raises:

Intersection (self, other, tol=1.4901161193847656e-08, **eps)

 

Iteratively find the intersection of this and an other rhumb line.

Arguments:
  • other - The other rhumb line (RhumbLine).
  • tol - Tolerance for longitudinal convergence and parallel error (degrees).
  • eps - Tolerance for pygeodesy.intersection3d3 (EPS).
Returns:
The intersection point, a Position-like GDict with 13 items lat1, lon1, azi12, a12, s12, lat2, lon2, lat0, lon0, azi02, a02, s02, at with the rhumb angle a02 and rhumb distance s02 between the start point lat0, lon0 of the other rhumb line and the intersection lat2, lon2, the azimuth azi02 of the other rhumb line and the angle at between both rhumb lines. See method Position for further details.
Raises:
  • IntersectionError - No convergence for this tol or no intersection for an other reason.

See Also: Methods distance2 and PlumbTo and function pygeodesy.intersection3d3.

Note: Each iteration involves a round trip to this rhumb line's ExactTransverseMercator or KTransverseMercator projection and function pygeodesy.intersection3d3 in that domain.

Inverse (self, lat2, lon2, wrap=False, **outmask)

 

Return the rhumb angle, distance, azimuth, reverse azimuth, etc. of a rhumb line between the given point and this rhumb line's start point.

Arguments:
  • lat2 - Latitude of the point (degrees).
  • lon2 - Longitude of the points (degrees).
  • wrap - If True, wrap or normalize and unroll lat2 and lon2 (bool).
Returns:
GDict with 8 items a12, s12, azi12, azi21, lat1, lon1, lat2, lon2, the rhumb angle a12 and rhumb distance s12 between both points in degrees respectively meter, the rhumb line's azimuth azi12 and reverse azimuth azi21 both in compass degrees between -180 and +180.

NearestOn (self, lat0, lon0, **exact_eps_est_tol)

 

DEPRECATED on 23.10.30, use method PlumbTo.

Decorators:
  • @deprecated_method

PlumbTo (self, lat0, lon0, exact=None, eps=2.220446049250313e-16, est=None, tol=1.4901161193847656e-08)

 

Compute the perpendicular intersection of this rhumb line with a geodesic from the given point (transcoded from Karney's C++ rhumb-intercept).

Arguments:
  • lat0 - Latitude of the point on the geodesic (degrees).
  • lon0 - Longitude of the point on the geodesic (degrees).
  • exact - If None, use a rhumb line perpendicular to this rhumb line, otherwise use an exact Geodesic... from the given point perpendicular to this rhumb line (bool or Geodesic...), see method geodesic_.
  • eps - Optional tolerance (EPS), used only if exact is None, see function intersection3d3.
  • est - Optionally, an initial estimate for the distance s12 of the intersection along this rhumb line (meter), used only if exact is not None.
  • tol - Longitudinal convergence tolerance (degrees) or distance tolerance (C(meter)) when exact is None, respectively not None.
Returns:
The intersection point on this rhumb line, a GDict from method Intersection if exact=None. If exact is not None, a Position-like GDict of 13 items azi12, a12, s12, lat2, lat1, lat0, lon2, lon1, lon0, azi0, a02, s02, at with distance a02 in degrees and s02 in meter between the given point lat0, lon0 and the intersection lat2, lon2, geodesic azimuth azi0 at the given point and the (perpendicular) angle at between the geodesic and this rhumb line at the intersection. The geodesic azimuth at the intersection is (at + azi12). See method Position for further details.
Raises:
  • ImportError - Karney's geographiclib package not found or not installed.
  • IntersectionError - No convergence for this eps or tol or no intersection for some other reason.

See Also: Methods distance2, Intersecant2 and Intersection and function intersection3d3.

Position (self, s12, outmask=392)

 

Compute a point at a given distance on this rhumb line.

Arguments:
  • s12 - The distance along this rhumb line from its origin to the point (meters), can be negative.
  • outmask - Bit-or'ed combination of Caps values specifying the quantities to be returned.
Returns:
GDict with 4 to 8 items azi12, a12, s12, S12, lat2, lat1, lon2, lon1 with latitude lat2 and longitude lon2 of the point in degrees, the rhumb angle a12 in degrees from the start point of and the area S12 under this rhumb line in meter squared.
Raises:
  • ImportError - Package numpy not found or not installed, required only for RhumbLineAux area S12 when exact is True.

Note: If s12 is large enough that the rhumb line crosses a pole, the longitude of the second point is indeterminate and NAN is returned for lon2 and area S12.

If the first point is a pole, the cosine of its latitude is taken to be sqrt(EPS). This position is extremely close to the actual pole and allows the calculation to be carried out in finite terms.

__init__ (self, rhumb, lat1, lon1, azi12, caps=1929, name='')
(Constructor)

 

New RhumbLine or RhumbLineAux.

Overrides: object.__init__

degrees2m (self, angle)

 

Convert an angular distance along this rhumb line to meter.

Arguments:
  • angle - Angular distance (degrees).
Returns:
Distance (meter).

distance2 (self, lat, lon)

 

DEPRECATED on 23.09.23, use method RhumbLineAux.Inverse or RhumbLine.Inverse.

Returns:
A Distance2Tuple(distance, initial) with the distance in meter and initial bearing (azimuth) in degrees.
Decorators:
  • @deprecated_method

intersection2 (self, other, **tol_eps)

 

DEPRECATED on 23.10.10, use method Intersection.

Decorators:
  • @deprecated_method

m2degrees (self, distance)

 

Convert a distance along this rhumb line to an angular distance.

Arguments:
  • distance - Distance (meter).
Returns:
Angular distance (degrees).

nearestOn4 (self, lat0, lon0, **exact_eps_est_tol)

 

DEPRECATED on 23.10.10, use method PlumbTo.

Decorators:
  • @deprecated_method

toStr (self, prec=6, sep=', ', **unused)

 

Return this RhumbLine as string.

Arguments:
  • prec - The float precision, number of decimal digits (0..9). Trailing zero decimals are stripped for prec values of 1 and above, but kept for negative prec values.
  • sep - Separator to join (str).
Returns:
RhumbLine (str).
Overrides: named._Named.toStr

Property Details

TMorder

Get this rhumb line's Transverse Mercator order (int, 4, 5, 6, 7 or 8).

Get method:
TMorder(self) - Get this rhumb line's Transverse Mercator order (int, 4, 5, 6, 7 or 8).
Set method:
_fset_error(inst, val) - Throws an AttributeError, always.
Delete Method:
_fdel(inst) - Zap the cached/memoized property value.

azi12

Get this rhumb line's azimuth (compass degrees).

Get method:
azi12(self) - Get this rhumb line's azimuth (compass degrees).
Set method:
azi12(self, azi12) - Set this rhumb line's azimuth (compass degrees).
Delete Method:
_fdel(inst) - Zap the cached/memoized property value.

azi12_sincos2

Get the sine and cosine of this rhumb line's azimuth (2-tuple (sin, cos)).

Get method:
azi12_sincos2(self) - Get the sine and cosine of this rhumb line's azimuth (2-tuple (sin, cos)).
Set method:
_fset_error(inst, val) - Throws an AttributeError, always.
Delete Method:
_fdel(inst) - Zap the cached/memoized property value.

datum

Get this rhumb line's datum (Datum).

Get method:
datum(self) - Get this rhumb line's datum (Datum).
Set method:
_fset_error(inst, val) - Throws an AttributeError, always.
Delete Method:
_fdel(inst) - Zap the cached/memoized property value.

ellipsoid

Get this rhumb line's ellipsoid (Ellipsoid).

Get method:
ellipsoid(self) - Get this rhumb line's ellipsoid (Ellipsoid).
Set method:
_fset_error(inst, val) - Throws an AttributeError, always.
Delete Method:
_fdel(inst) - Zap the cached/memoized property value.

exact

Get this rhumb line's exact option (bool).

Get method:
exact(self) - Get this rhumb line's exact option (bool).
Set method:
_fset_error(inst, val) - Throws an AttributeError, always.
Delete Method:
_fdel(inst) - Zap the cached/memoized property value.

isLoxodrome

Is this rhumb line a meridional (None), a parallel (False) or a True loxodrome?

Get method:
isLoxodrome(self) - Is this rhumb line a meridional (None), a parallel (False) or a True loxodrome?
Set method:
_fset_error(inst, val) - Throws an AttributeError, always.
Delete Method:
_fdel(inst) - Zap the cached/memoized property value.

See Also: Osborne's 2.5 Rumb lines and loxodromes, page 37.

lat1

Get this rhumb line's latitude (degrees90).

Get method:
lat1(self) - Get this rhumb line's latitude (degrees90).
Set method:
_fset_error(inst, val) - Throws an AttributeError, always.
Delete Method:
_fdel(inst) - Zap the cached/memoized property value.

latlon1

Get this rhumb line's lat- and longitude (LatLon2Tuple(lat, lon)).

Get method:
latlon1(self) - Get this rhumb line's lat- and longitude (LatLon2Tuple(lat, lon)).
Set method:
_fset_error(inst, val) - Throws an AttributeError, always.
Delete Method:
_fdel(inst) - Zap the cached/memoized property value.

lon1

Get this rhumb line's longitude (degrees180).

Get method:
lon1(self) - Get this rhumb line's longitude (degrees180).
Set method:
_fset_error(inst, val) - Throws an AttributeError, always.
Delete Method:
_fdel(inst) - Zap the cached/memoized property value.

rhumb

Get this rhumb line's rhumb (RhumbAux or Rhumb).

Get method:
rhumb(self) - Get this rhumb line's rhumb (RhumbAux or Rhumb).
Set method:
_fset_error(inst, val) - Throws an AttributeError, always.
Delete Method:
_fdel(inst) - Zap the cached/memoized property value.

xTM

Get this rhumb line's Transverse Mercator projection (ExactTransverseMercator if exact and ellipsoidal, otherwise KTransverseMercator for TMorder).

Get method:
xTM(self) - Get this rhumb line's Transverse Mercator projection (ExactTransverseMercator if exact and ellipsoidal, otherwise KTransverseMercator for TMorder).
Set method:
_fset_error(inst, val) - Throws an AttributeError, always.
Delete Method:
_fdel(inst) - Zap the cached/memoized property value.

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