Package pygeodesy :: Package triaxials :: Module conformal3 :: Class Conformal3

Class Conformal3

      object --+                        
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    named._Named --+                    
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    named._NamedBase --+                
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    named._NamedEnumItem --+            
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bases._UnOrderedTriaxialBase --+        
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      bases._OrderedTriaxialBase --+    
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                bases._Triaxial3Base --+
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                                      Conformal3

Known Subclasses:

Conformal3B

Jacobi Conformal projection of triaxial ellipsoid using class Ang lat- and longitudes.

See Also: Triaxial for details.

Instance Methods

equi3Sphere(self, x, y, **name)
Get this projection's equivalent Conformal Sphere.

forwardBetOmg(self, bet, omg, M=False, **unit_name)
Compute the projection to this conformal triaxial.

forwardOther(self, other, bet, omg, M=False, **unit_name)
Compute the projection to an other conformal triaxial.

forwardSphere3(self, bet, omg, M=False, **unit_name)
Compute the projection to and direction on the equivalent Conformal Sphere.

reverseBetOmg(self, x_cf, y=None, M=False, **unit_name)
Reverse a projection from this conformal triaxial.

reverseOther(self, other, beto, omgo, M=False, **unit_name)
Reverse a projection from an other conformal triaxial.

reverseSphere(self, x_ct, y=None, z=None, dir3d=None, M=False, **unit_name)
Reverse a projection from this Conformal Sphere to this triaxial.

Inherited from bases._OrderedTriaxialBase: __init__

Inherited from bases._UnOrderedTriaxialBase: __str__, area_p, hartzell4, height4, normal3d, normal4, sideOf, toBiaxial, toEllipsoid, toStr

Inherited from named._NamedEnumItem: unregister

Inherited from named._NamedBase: __repr__, 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__

Properties

xyQ2
Get the quadrant length in x and y direction (Vector2Tuple{x, y}).

Inherited from bases._Triaxial3Base: Lon0, e2, isBiaxial, isOblate, isProlate, k2, kp2

Inherited from bases._OrderedTriaxialBase: area

Inherited from bases._UnOrderedTriaxialBase: a, a2, b, b2, c, c2, e2ab, e2ac, e2bc, isOrdered, isSpherical, unOrdered, volume

Inherited from named._NamedEnumItem: name

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

Inherited from object: __class__

Method Details

equi3Sphere (self, x, y, **name)

Get this projection's equivalent Conformal Sphere.

Arguments:

x - Quadrant x length, easting (meter).
y - Quadrant y length, northing (meter).

Returns:

The Comformal3Sphere of this projection.

See Also: Classes Conformal3Sphere and ConformalSphere and Karney's GeographicLib 2.7 C++ Triaxial::Conformal3 for more information.

forwardBetOmg (self, bet, omg, M=False, **unit_name)

Compute the projection to this conformal triaxial.

Arguments:

bet - Ellipsoidal latitude (Ang or unit).
omg - Ellipsoidal longitude (Ang or unit)..
M - If True, compute and include the scale (bool).
unit_name - Optional unit=Radians and name=NN (str).

Returns:

A Conformal5Tuple

(x, y, z, 
          scale, llk)

with z = INT0 always and scale if M=True, otherwise scale = NAN.

forwardOther (self, other, bet, omg, M=False, **unit_name)

Compute the projection to an other conformal triaxial.

Arguments:

other - A conformal triaxial (Conformal3).
bet - Ellipsoidal latitude (Ang or unit).
omg - Ellipsoidal longitude (Ang or unit).
M - If True, compute and include the scale (bool).
unit_name - Optional unit=Radians and name=NN (str).

Returns:

A BetOmgGam5Tuple

(bet, omg, gam, scale, 
          llk)

with scale if M=True, otherwise scale = NAN.

forwardSphere3 (self, bet, omg, M=False, **unit_name)

Compute the projection to and direction on the equivalent Conformal Sphere.

Arguments:

bet - Ellipsoidal latitude (Ang or unit).
omg - Ellipsoidal longitude (Ang or unit).
M - If True, compute and include the scale (bool).
unit_name - Optional unit=Radians and name=NN (str).

Returns:

3-Tuple (cartesian, direction, scale) with a cartesian Cartesian5Tuple(x, y, z, h, llk) on and direction a Vector3d due North and tangent to the Conformal Sphere and scale if M=True, otherwise scale = NAN.

reverseBetOmg (self, x_cf, y=None, M=False, **unit_name)

Reverse a projection from this conformal triaxial.

Arguments:

x_cf - Easting (scalar) or a conformal projection (Conformal5Tuple).
y - Northing (scalar), required if x_cf is scalar, ignored otherwise.
M - If True, compute and include the scale (bool).
unit_name - Optional unit=Radians and name=NN (str).

Returns:

A BetOmgGam5Tuple

(bet, omg, gam, scale, 
          llk)

with gam set to None and scale only if M=True, otherwise scale is NAN.

reverseOther (self, other, beto, omgo, M=False, **unit_name)

Reverse a projection from an other conformal triaxial.

Arguments:

other - A conformal triaxial (Conformal3).
beto - Ellipsoidal latitude on the other triaxial (Ang or unit).
omgo - Ellipsoidal longitude on the other triaxial (Ang or unit).
M - If True, compute and include the scale (bool).
unit_name - Optional unit=Radians and name=NN (str).

Returns:

A BetOmgGam5Tuple

(bet, omg, gam, scale, 
          llk)

with scale if M=True, otherwise scale = NAN.

reverseSphere (self, x_ct, y=None, z=None, dir3d=None, M=False, **unit_name)

Reverse a projection from this Conformal Sphere to this triaxial.

Arguments:

x_ct - X component (scalar) of or a cartesian on the Conformal Sphere (Cartesian5Tuple).
y - Y component (scalar), required if x_ct is scalar, ignored otherwise.
z - Z component (scalar), like y.
dir3d - The direction (Vector3d or None), reference.
M - If True, compute and include the scale (bool).
unit_name - Optional unit=Radians and name=NN (str).

Returns:

A BetOmgGam5Tuple

(bet, omg, gam, scale, 
          llk)

with scale only if M=True, otherwise scale = NAN.

Property Details

xyQ2

Get the quadrant length in x and y direction (Vector2Tuple{x, y}).

Get method:: xyQ2(self) - Get the quadrant length in x and y direction (Vector2Tuple{x, y}).
Set method:: _fset_error(inst, val) - Throws an AttributeError, always.
Delete Method:: _fdel(inst) - Zap the cached/memoized property value.