Package pygeodesy :: Package rhumb :: Module aux_ :: Class RhumbAux

Class RhumbAux

  object --+                
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named._Named --+            
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named._NamedBase --+        
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    karney._CapsBase --+    
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         bases.RhumbBase --+
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                          RhumbAux

Class to solve the direct and inverse rhumb problems, based on Auxiliary Latitudes for accuracy near the poles.

Note: Package numpy must be installed, version 1.16 or later.

Instance Methods

__init__(self, a_earth=Datum(name='WGS84', ellipsoid=Ellipsoids.WGS84, transform=Tran..., f=None, exact=True, **TMorder_name)
New RhumbAux.

areaux(self, **exact)
Get this ellipsoid's exact surface area (meter squared).

Inherited from bases.RhumbBase: ArcDirect, Direct, Direct8, DirectLine, Inverse, Inverse8, InverseLine, Line, toStr

Inherited from karney._CapsBase: caps_

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

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

Inherited from object: __delattr__, __format__, __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

Inherited from bases.RhumbBase: RAorder, TMorder, a, b, datum, ellipsoid, equatoradius, exact, f, f_max, flattening, polaradius

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

init (self, a_earth=Datum(name='WGS84', ellipsoid=Ellipsoids.WGS84, transform=Tran`...`, f=None, exact=True, **TMorder_name)
(Constructor)

New RhumbAux.

Arguments:

a_earth - This rhumb's earth model (Datum, Ellipsoid, Ellipsoid2, a_f2Tuple, 2-tuple (a, f)) or the (equatorial) radius (meter, conventionally).
f - The ellipsoid's flattening (scalar), required if a_earth is scalar, ignored otherwise.
exact - If True, use the exact expressions for the Auxiliary Latitudes, otherwise use the Fourier series expansion (bool), see also property exact.
TMorder_name - Optional name=NN (str) and optional keyword argument TMorder=6, the order of the KTransverseMercator, see property TMorder.

Raises:

ImportError - Package numpy not found or not installed, only required for area S12 when exact is True.
RhumbError - Invalid a_earth, f or TMorder.

Overrides: object.__init__

areaux (self, **exact)

Get this ellipsoid's exact surface area (meter squared).

Arguments:

exact - Optional exact (bool), overriding this rhumb's exact setting, if True, use the exact expression for the authalic radius otherwise the Taylor series.

Returns:

The (signed?) surface area (meter squared).

Raises:

AuxError - If exact=False and abs(flattening) exceeds property f_max.

Note: The area of a polygon encircling a pole can be found by adding areaux / 2 to the sum of S12 for each side of the polygon.

See Also: The area of rhumb polygons and method auxilats.AuxLat.AuthalicRadius2.

Class RhumbAux

__init__ (self, a_earth=Datum(name='WGS84', ellipsoid=Ellipsoids.WGS84, transform=Tran..., f=None, exact=True, **TMorder_name) (Constructor)

areaux (self, **exact)

init (self, a_earth=Datum(name='WGS84', ellipsoid=Ellipsoids.WGS84, transform=Tran`...`, f=None, exact=True, **TMorder_name)
(Constructor)