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# -*- coding: utf-8 -*- 

 

u'''Wrapper to invoke I{Karney}'s U{RhumbSolve 

<https://GeographicLib.SourceForge.io/C++/doc/RhumbSolve.1.html>} utility 

as an (exact) rhumb or rhumb line, but intended I{for testing purposes only}. 

 

Set env variable C{PYGEODESY_RHUMBSOLVE} to the (fully qualified) path 

of the C{RhumbSolve} executable. 

''' 

# from pygeodesy.basics import _xinstanceof # from .karney 

from pygeodesy.constants import _180_0, _N_180_0, _90_0 # PYCHOK used! 

from pygeodesy.interns import NN, _azi12_, _lat2_, _lon2_, _s12_, _S12_, _UNDER_ 

from pygeodesy.karney import GDict, _norm180, _sincos2d, _xinstanceof, wrap360 

from pygeodesy.lazily import _ALL_DOCS, _ALL_LAZY, _ALL_MODS as _MODS, _getenv, printf 

from pygeodesy.namedTuples import Destination3Tuple, Distance3Tuple 

from pygeodesy.props import deprecated_method, Property, Property_RO 

from pygeodesy.rhumbx import Caps, RhumbError, Rhumb8Tuple # PYCHOK used! 

from pygeodesy.solveBase import _LineSolveBase, _SolveBase 

# from pygeodesy.utily import wrap360 # from .karney 

 

__all__ = _ALL_LAZY.rhumbsolve 

__version__ = '22.09.12' 

 

_PYGEODESY_RHUMBSOLVE_ = 'PYGEODESY_RHUMBSOLVE' # PYCHOK used! 

 

 

class _RhumbSolveBase(_SolveBase): 

'''(INTERNAL) Base class for L{RhumbSolve} and L{RhumbLineSolve}. 

''' 

_Error = RhumbError 

_Names_Direct = _lat2_, _lon2_, _S12_ 

_Names_Inverse = _azi12_, _s12_, _S12_ 

_Solve_name = 'RhumbSolve' 

_Solve_path = _getenv(_PYGEODESY_RHUMBSOLVE_, _PYGEODESY_RHUMBSOLVE_) 

 

@Property_RO 

def _cmdBasic(self): 

'''(INTERNAL) Get the basic C{RhumbSolve} cmd (C{tuple}). 

''' 

return (self.RhumbSolve,) + self._e_option \ 

+ self._p_option \ 

+ self._s_option 

 

@Property 

def RhumbSolve(self): 

'''Get the U{RhumbSolve<https://GeographicLib.SourceForge.io/C++/doc/RhumbSolve.1.html>} 

executable (C{filename}). 

''' 

return self._Solve_path 

 

@RhumbSolve.setter # PYCHOK setter! 

def RhumbSolve(self, path): 

'''Set the U{RhumbSolve<https://GeographicLib.SourceForge.io/C++/doc/RhumbSolve.1.html>} 

executable (C{filename}), the (fully qualified) path to the C{RhumbSolve} executable. 

 

@raise RhumbError: Invalid B{C{path}}, B{C{path}} doesn't exist or isn't 

the C{RhumbSolve} executable. 

''' 

self._setSolve(path) 

 

@Property_RO 

def _s_option(self): # == not -E for GeodSolve 

return () if self.Exact else ('-s', ) 

 

def toStr(self, **prec_sep): # PYCHOK signature 

'''Return this C{RhumbSolve} as string. 

 

@kwarg prec_sep: Keyword argumens C{B{prec}=6} and C{B{sep}=', '} 

for the C{float} C{prec}ision, number of decimal digits 

(0..9) and the C{sep}arator string to join. Trailing 

zero decimals are stripped for B{C{prec}} values of 

1 and above, but kept for negative B{C{prec}} values. 

 

@return: RhumbSolve items (C{str}). 

''' 

return self._toStr(RhumbSolve=self.RhumbSolve, **prec_sep) 

 

# @Property_RO 

# def _u_option(self): 

# return '-u' if self.unroll else () 

 

 

class RhumbSolve(_RhumbSolveBase): 

'''Wrapper to invoke I{Karney}'s U{RhumbSolve<https://GeographicLib.SourceForge.io/C++/doc/RhumbSolve.1.html>}, 

the C{Exact} version of class L{pygeodesy.Rhumb}. 

 

@note: Use property C{RhumbSolve} or env variable C{PYGEODESY_RHUMBSOLVE} to specify the (fully 

qualified) path to the C{RhumbSolve} executable. 

 

@note: This C{rhumb} is intended I{for testing purposes only}, it invokes the C{RhumbSolve} 

executable for I{every} method call. 

''' 

# def Area(self, polyline=False, name=NN): 

# '''Set up an L{RhumbArea} to compute area and 

# perimeter of a polygon. 

# 

# @kwarg polyline: If C{True} perimeter only, otherwise 

# area and perimeter (C{bool}). 

# @kwarg name: Optional name (C{str}). 

# 

# @return: A L{RhumbArea} instance. 

# 

# @note: The B{C{debug}} setting is passed as C{verbose} 

# to the returned L{RhumbAreaExact} instance. 

# ''' 

# rA = _MODS.rhumbx.RhumbArea(self, polyline=polyline, 

# name=name or self.name) 

# if self.verbose or self.debug: # PYCHOK no cover 

# rA.verbose = True 

# return rA 

 

# Polygon = Area # for C{geographiclib} compatibility 

 

def _azimuth_reverse(self, azimuth): 

'''(INTERNAL) Reverse final azimuth C{azimuth}. 

''' 

z = _norm180(float(azimuth)) 

if self.reverse2: # like .utils.atan2d 

z += _180_0 if z < 0 else _N_180_0 

return z 

 

def Direct3(self, lat1, lon1, azi1, s12): # PYCHOK outmask 

'''Return the destination lat, lon and reverse azimuth 

(final bearing) in C{degrees}. 

 

@return: L{Destination3Tuple}C{(lat, lon, final)}. 

''' 

r = self._GDictDirect(lat1, lon1, azi1, False, s12, floats=False) 

z = self._azimuth_reverse(r.azi12) 

return Destination3Tuple(float(r.lat2), float(r.lon2), wrap360(z), 

iteration=r._iteration) 

 

def _GDictDirect(self, lat, lon, azi1, arcmode, s12_a12, *unused, **floats): 

'''(INTERNAL) Get C{_GenDirect}-like result as an 8-item C{GDict}. 

''' 

d = _RhumbSolveBase._GDictDirect(self, lat, lon, azi1, arcmode, s12_a12, **floats) 

r = GDict(lat1=lat, lon1=lon, azi12=azi1, s12=s12_a12) # a12=s12_a12 / self.ellipsoid._L_90 

r.update(d) 

return r 

 

def _GDictInverse(self, lat1, lon1, lat2, lon2, *unused, **floats): 

'''(INTERNAL) Get C{_GenInverse}-like result as an 8-item C{GDict}, but 

I{without} C{_SALPs_CALPs_}. 

''' 

i = _RhumbSolveBase._GDictInverse(self, lat1, lon1, lat2, lon2, **floats) 

a = float(i.s12) / self.ellipsoid._L_90 # for .Inverse1 

r = GDict(lat1=lat1, lon1=lon1, lat2=lat2, lon2=lon2, a12=a) 

r.update(i) 

return r 

 

def Inverse3(self, lat1, lon1, lat2, lon2): # PYCHOK outmask 

'''Return the distance in C{meter} and the forward and 

reverse azimuths (initial and final bearing) in C{degrees}. 

 

@return: L{Distance3Tuple}C{(distance, initial, final)}. 

''' 

r = self._GDictInverse(lat1, lon1, lat2, lon2, floats=False) 

z = self._azimuth_reverse(r.azi12) 

return Distance3Tuple(float(r.s12), wrap360(r.azi12), wrap360(z), 

iteration=r._iteration) 

 

def Line(self, lat1, lon1, azi1, caps=Caps.ALL): 

'''Set up an L{RhumbLineSolve} to compute several points 

on a single rhumb line. 

 

@arg lat1: Latitude of the first point (C{degrees}). 

@arg lon1: Longitude of the first point (C{degrees}). 

@arg azi1: Azimuth at the first point (compass C{degrees}). 

@kwarg caps: Bit-or'ed combination of L{Caps} values specifying 

the capabilities the L{RhumbLineSolve} instance 

should possess, always C{Caps.ALL}. 

 

@return: A L{RhumbLineSolve} instance. 

 

@note: If the point is at a pole, the azimuth is defined by keeping 

B{C{lon1}} fixed, writing C{B{lat1} = ±(90 − ε)}, and taking 

the limit C{ε → 0+}. 

 

@see: C++ U{RhumbExact.Line 

<https://GeographicLib.SourceForge.io/C++/doc/classGeographicLib_1_1RhumbExact.html>} 

and Python U{Rhumb.Line<https://GeographicLib.SourceForge.io/C++/doc/python/code.html>}. 

''' 

return RhumbLineSolve(self, lat1, lon1, azi1, caps=caps, name=self.name) 

 

 

class RhumbLineSolve(_RhumbSolveBase, _LineSolveBase): 

'''Wrapper to invoke I{Karney}'s U{RhumbSolve<https://GeographicLib.SourceForge.io/C++/doc/RhumbSolve.1.html>}, 

the C{Exact} version of class L{pygeodesy.RhumbLine}. 

 

@note: Use property C{RhumbSolve} or env variable C{PYGEODESY_RHUMBSOLVE} to specify the (fully 

qualified) path to the C{RhumbSolve} executable. 

 

@note: This C{rhumb line} is intended I{for testing purposes only}, it invokes the C{RhumbSolve} 

executable for I{every} method call. 

''' 

def __init__(self, rhumb, lat1, lon1, azi12, caps=Caps.ALL, name=NN): 

'''New L{RhumbLineSolve} instance, allowing points to be found along 

a rhumb starting at C{(B{lat1}, B{lon1})} with azimuth B{C{azi12}}. 

 

@arg rhumb: The rhumb to use (L{RhumbSolve}). 

@arg lat1: Latitude of the first point (C{degrees90}). 

@arg lon1: Longitude of the first point (C{degrees180}). 

@arg azi12: Azimuth of the rhumb line (compass C{degrees180}). 

@kwarg caps: Bit-or'ed combination of L{Caps} values specifying 

the capabilities the L{RhumbLineSolve} instance should 

possess, always C{Caps.ALL}. Use C{Caps.LINE_OFF} 

if updates to the B{C{rhumb}} should I{not} be 

reflected in this L{RhumbLineSolve} instance. 

 

@kwarg name: Optional name (C{str}). 

 

@raise RhumbError: Invalid path for C{RhumbSolve} executable or 

isn't the C{RhumbSolve} executable, see 

property C{B{rhumb}.RhumbSolve}. 

 

@raise TypeError: Invalid B{C{rhumb}}. 

''' 

_xinstanceof(RhumbSolve, rhumb=rhumb) 

if (caps & Caps.LINE_OFF): # copy to avoid updates 

rhumb = rhumb.copy(deep=False, name=NN(_UNDER_, rhumb.name)) 

_LineSolveBase.__init__(self, rhumb, lat1, lon1, caps, name, azi12=azi12) 

try: 

self.RhumbSolve = rhumb.RhumbSolve # rhumb or copy of rhumb 

except RhumbError: 

pass 

 

# def ArcPosition(self, a12, *unused): 

# '''Find the position on the line given B{C{a12}}. 

# 

# @arg a12: Spherical arc length from the first point to the 

# second point (C{degrees}). 

# 

# @return: A C{dict} with 8 items C{lat1, lon1, lat2, lon2, 

# azi12, a12, s12, S12}. 

# ''' 

# s = a12 * self.ellipsoid._L_90 

# a = self._GDictInvoke(self._cmdArc, True, self._Names_Direct, s) 

# r = GDict(a12=a12, s12=s, **self._lla1) 

# r.updated(a) 

# return r 

 

@Property_RO 

def azi12(self): 

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

''' 

return self._lla1.azi12 

 

azi1 = azi12 # like GeodesicLineSolve 

 

@Property_RO 

def azi12_sincos2(self): # PYCHOK no cover 

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

''' 

return _sincos2d(self.azi12) 

 

azi1_sincos2 = azi12_sincos2 

 

# @Property_RO 

# def _cmdArc(self): 

# '''(INTERNAL) Get the C{RhumbSolve} I{-a -L} cmd (C{tuple}). 

# ''' 

# return self._cmdDistance + ('-a',) 

 

def Position(self, s12, *unused): 

'''Find the position on the line given B{C{s12}}. 

 

@arg s12: Distance from the first point to the second (C{meter}). 

 

@return: A L{GDict} with 7 items C{lat1, lon1, lat2, lon2, 

azi12, s12, S12}. 

''' 

d = self._GDictInvoke(self._cmdDistance, True, self._Names_Direct, s12) 

r = GDict(s12=s12, **self._lla1) # a12=s12 / self.ellipsoid._L_90 

r.update(d) 

return r 

 

def toStr(self, **prec_sep): # PYCHOK signature 

'''Return this C{RhumbLineSolve} as string. 

 

@kwarg prec_sep: Keyword argumens C{B{prec}=6} and C{B{sep}=', '} 

for the C{float} C{prec}ision, number of decimal digits 

(0..9) and the C{sep}arator string to join. Trailing 

zero decimals are stripped for B{C{prec}} values of 

1 and above, but kept for negative B{C{prec}} values. 

 

@return: RhumbLineSolve items (C{str}). 

''' 

return _LineSolveBase._toStr(self, azi12=self.azi12, rhumb=self._solve, 

RhumbSolve=self.RhumbSolve, **prec_sep) 

 

 

class RhumbSolve7Tuple(Rhumb8Tuple): 

'''7-Tuple C{(lat1, lon1, lat2, lon2, azi12, s12, S12)} with lat- C{lat1}, 

C{lat2} and longitudes C{lon1}, C{lon2} of both points, the azimuth of the 

rhumb line C{azi12}, the distance C{s12} and the area C{S12} under the 

rhumb line between both points. 

''' 

assert Rhumb8Tuple._Names_.index(_MODS.interns._a12_) == 7 

_Names_ = Rhumb8Tuple._Names_[:7] # drop a12 

_Units_ = Rhumb8Tuple._Units_[:7] 

 

@deprecated_method 

def _to7Tuple(self): # PYCHOK no cover 

'''DEPRECATED, I{don't use!} 

''' 

return _MODS.deprecated.Rhumb7Tuple(self[:7]) 

 

 

__all__ += _ALL_DOCS(_RhumbSolveBase) 

 

if __name__ == '__main__': 

 

from sys import argv 

 

rS = RhumbSolve(name='Test') 

rS.verbose = '--verbose' in argv # or '-v' in argv 

 

if rS.RhumbSolve in (_PYGEODESY_RHUMBSOLVE_, None): # not set 

rS.RhumbSolve = '/opt/local/bin/RhumbSolve' # '/opt/local/Cellar/geographiclib/1.51/bin/RhumbSolve' # HomeBrew 

printf('version: %s', rS.version) 

 

r = rS.Direct(40.6, -73.8, 51, 5.5e6) 

printf('Direct: %r', r, nl=1) 

printf('Direct3: %r', rS.Direct3(40.6, -73.8, 51, 5.5e6)) 

 

printf('Inverse: %r', rS.Inverse( 40.6, -73.8, 51.6, -0.5), nl=1) 

printf('Inverse1: %r', rS.Inverse1(40.6, -73.8, 51.6, -0.5)) 

printf('Inverse3: %r', rS.Inverse3(40.6, -73.8, 51.6, -0.5)) 

 

printf('Inverse: %r', rS.Inverse( 40.6, -73.8, 35.8, 140.3), nl=1) 

printf('Inverse1: %r', rS.Inverse1(40.6, -73.8, 35.8, 140.3)) 

printf('Inverse3: %r', rS.Inverse3(40.6, -73.8, 35.8, 140.3)) 

 

rlS = RhumbLineSolve(rS, 40.6, -73.8, 51, name='LineTest') 

p = rlS.Position(5.5e6) 

printf('Position: %s %r', p == r, p, nl=1) 

# p = rlS.ArcPosition(49.475527) 

# printf('ArcPosition: %s %r', p == r, p) 

 

# % python3 -m pygeodesy.rhumbsolve 

 

# version: /opt/local/bin/RhumbSolve: GeographicLib version 1.51 

# 

# Direct: GDict(S12=44095641862956.148438, azi12=51, lat1=40.6, lat2=71.6889, lon1=-73.8, lon2=0.25552, s12=5500000.0) 

# Direct3: Destination3Tuple(lat=71.6889, lon=0.25552, final=51.0) 

# 

# Inverse: GDict(S12=37395209100030.367188, a12=51.929543, azi12=77.76839, lat1=40.6, lat2=51.6, lon1=-73.8, lon2=-0.5, s12=5771083.383328) 

# Inverse1: 51.92954250756195 

# Inverse3: Distance3Tuple(distance=5771083.383328, initial=77.76839, final=77.76839) 

# 

# Inverse: GDict(S12=-63760642939072.492188, a12=115.02062, azi12=-92.388888, lat1=40.6, lat2=35.8, lon1=-73.8, lon2=140.3, s12=12782581.067684) 

# Inverse1: 115.02061966879258 

# Inverse3: Distance3Tuple(distance=12782581.067684, initial=267.611112, final=267.611112) 

# 

# Position: True GDict(S12=44095641862956.148438, azi12=51, lat1=40.6, lat2=71.6889, lon1=-73.8, lon2=0.25552, s12=5500000.0) 

 

 

# % python3 -m pygeodesy.rhumbsolve --verbose 

 

# RhumbSolve 'Test' 1: /opt/local/bin/RhumbSolve --version (invoke) 

# RhumbSolve 'Test' 1: /opt/local/bin/RhumbSolve: GeographicLib version 1.51 (0) 

# version: /opt/local/bin/RhumbSolve: GeographicLib version 1.51 

# RhumbSolve 'Test' 2: /opt/local/bin/RhumbSolve -p 10 \ 40.600000000000001 -73.799999999999997 51.0 5500000.0 (Direct) 

# RhumbSolve 'Test' 2: lat2=71.688899882813047, lon2=0.255519824423445, S12=44095641862956.148 (0) 

 

# Direct: GDict(S12=44095641862956.148438, azi12=51, lat1=40.6, lat2=71.6889, lon1=-73.8, lon2=0.25552, s12=5500000.0) 

# RhumbSolve 'Test' 3: /opt/local/bin/RhumbSolve -p 10 \ 40.600000000000001 -73.799999999999997 51.0 5500000.0 (Direct3) 

# RhumbSolve 'Test' 3: lat2=71.688899882813047, lon2=0.255519824423445, S12=44095641862956.148 (0) 

# Direct3: Destination3Tuple(lat=71.6889, lon=0.25552, final=51.0) 

# RhumbSolve 'Test' 4: /opt/local/bin/RhumbSolve -p 10 -i \ 40.600000000000001 -73.799999999999997 51.600000000000001 -0.5 (Inverse) 

# RhumbSolve 'Test' 4: azi12=77.768389710255661, s12=5771083.3833280317, S12=37395209100030.367 (0) 

 

# Inverse: GDict(S12=37395209100030.367188, a12=51.929543, azi12=77.76839, lat1=40.6, lat2=51.6, lon1=-73.8, lon2=-0.5, s12=5771083.383328) 

# RhumbSolve 'Test' 5: /opt/local/bin/RhumbSolve -p 10 -i \ 40.600000000000001 -73.799999999999997 51.600000000000001 -0.5 (Inverse1) 

# RhumbSolve 'Test' 5: azi12=77.768389710255661, s12=5771083.3833280317, S12=37395209100030.367 (0) 

# Inverse1: 51.92954250756195 

# RhumbSolve 'Test' 6: /opt/local/bin/RhumbSolve -p 10 -i \ 40.600000000000001 -73.799999999999997 51.600000000000001 -0.5 (Inverse3) 

# RhumbSolve 'Test' 6: azi12=77.768389710255661, s12=5771083.3833280317, S12=37395209100030.367 (0) 

# Inverse3: Distance3Tuple(distance=5771083.383328, initial=77.76839, final=77.76839) 

# RhumbSolve 'Test' 7: /opt/local/bin/RhumbSolve -p 10 -i \ 40.600000000000001 -73.799999999999997 35.799999999999997 140.300000000000011 (Inverse) 

# RhumbSolve 'Test' 7: azi12=-92.388887981699639, s12=12782581.0676841792, S12=-63760642939072.492 (0) 

 

# Inverse: GDict(S12=-63760642939072.492188, a12=115.02062, azi12=-92.388888, lat1=40.6, lat2=35.8, lon1=-73.8, lon2=140.3, s12=12782581.067684) 

# RhumbSolve 'Test' 8: /opt/local/bin/RhumbSolve -p 10 -i \ 40.600000000000001 -73.799999999999997 35.799999999999997 140.300000000000011 (Inverse1) 

# RhumbSolve 'Test' 8: azi12=-92.388887981699639, s12=12782581.0676841792, S12=-63760642939072.492 (0) 

# Inverse1: 115.02061966879258 

# RhumbSolve 'Test' 9: /opt/local/bin/RhumbSolve -p 10 -i \ 40.600000000000001 -73.799999999999997 35.799999999999997 140.300000000000011 (Inverse3) 

# RhumbSolve 'Test' 9: azi12=-92.388887981699639, s12=12782581.0676841792, S12=-63760642939072.492 (0) 

# Inverse3: Distance3Tuple(distance=12782581.067684, initial=267.611112, final=267.611112) 

 

# Position: True GDict(S12=44095641862956.148438, azi12=51, lat1=40.6, lat2=71.6889, lon1=-73.8, lon2=0.25552, s12=5500000.0) 

 

 

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