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# -*- coding: utf-8 -*- 

 

u'''Lambert Conformal Conic (LCC) projection. 

 

Lambert conformal conic projection for 1- or 2-Standard Parallels classes L{Conic}, L{Conics} registry, L{LCCError} 

and position class L{Lcc}. 

 

See U{LCC<https://WikiPedia.org/wiki/Lambert_conformal_conic_projection>}, U{Lambert 

Conformal Conic to Geographic Transformation Formulae 

<https://www.Linz.govt.NZ/data/geodetic-system/coordinate-conversion/projection-conversions/lambert-conformal-conic-geographic>}, 

U{Lambert Conformal Conic Projection<https://MathWorld.Wolfram.com/LambertConformalConicProjection.html>} 

and John P. Snyder U{'Map Projections - A Working Manual'<https://Pubs.USGS.gov/pp/1395/report.pdf>}, 1987, pp 107-109. 

 

@var Conics.Be08Lb: Conic(name='Be08Lb', lat0=50.797815, lon0=4.35921583, par1=49.8333339, par2=51.1666672, E0=649328, N0=665262, k0=1, SP=2, datum=Datum(name='GRS80', ellipsoid=Ellipsoids.GRS80, transform=Transforms.WGS84), 

@var Conics.Be72Lb: Conic(name='Be72Lb', lat0=90, lon0=4.3674867, par1=49.8333339, par2=51.1666672, E0=150000.013, N0=5400088.438, k0=1, SP=2, datum=Datum(name='NAD83', ellipsoid=Ellipsoids.GRS80, transform=Transforms.NAD83), 

@var Conics.Fr93Lb: Conic(name='Fr93Lb', lat0=46.5, lon0=3, par1=49, par2=44, E0=700000, N0=6600000, k0=1, SP=2, datum=Datum(name='WGS84', ellipsoid=Ellipsoids.WGS84, transform=Transforms.WGS84), 

@var Conics.MaNLb: Conic(name='MaNLb', lat0=33.3, lon0=-5.4, par1=31.73, par2=34.87, E0=500000, N0=300000, k0=1, SP=2, datum=Datum(name='NTF', ellipsoid=Ellipsoids.Clarke1880IGN, transform=Transforms.NTF), 

@var Conics.MxLb: Conic(name='MxLb', lat0=12, lon0=-102, par1=17.5, par2=29.5, E0=2500000, N0=0, k0=1, SP=2, datum=Datum(name='WGS84', ellipsoid=Ellipsoids.WGS84, transform=Transforms.WGS84), 

@var Conics.PyT_Lb: Conic(name='PyT_Lb', lat0=46.8, lon0=2.33722917, par1=45.8989389, par2=47.6960144, E0=600000, N0=200000, k0=1, SP=2, datum=Datum(name='NTF', ellipsoid=Ellipsoids.Clarke1880IGN, transform=Transforms.NTF), 

@var Conics.USA_Lb: Conic(name='USA_Lb', lat0=23, lon0=-96, par1=33, par2=45, E0=0, N0=0, k0=1, SP=2, datum=Datum(name='WGS84', ellipsoid=Ellipsoids.WGS84, transform=Transforms.WGS84), 

@var Conics.WRF_Lb: Conic(name='WRF_Lb', lat0=40, lon0=-97, par1=33, par2=45, E0=0, N0=0, k0=1, SP=2, datum=Datum(name='WGS84', ellipsoid=Ellipsoids.WGS84, transform=Transforms.WGS84) 

''' 

# make sure int/int division yields float quotient, see .basics 

from __future__ import division 

 

from pygeodesy.basics import copysign0, _xinstanceof, _xsubclassof 

from pygeodesy.ellipsoidalBase import LatLonEllipsoidalBase as _LLEB 

from pygeodesy.datums import Datums, _ellipsoidal_datum 

from pygeodesy.errors import _IsnotError, _ValueError 

from pygeodesy.fmath import hypot 

from pygeodesy.interns import EPS, NN, PI_2, _COMMASPACE_, _ellipsoidal_, \ 

_EPS0__2, _float as _F, _GRS80_, _k0_, _lat0_, \ 

_lon0_, _m_, _NAD83_, _NTF_, _SPACE_, _WGS84_, \ 

_0_0, _0_5, _1_0, _90_0 

from pygeodesy.interns import _C_ # PYCHOK used! 

from pygeodesy.lazily import _ALL_LAZY 

from pygeodesy.named import _lazyNamedEnumItem as _lazy, _NamedBase, \ 

_NamedEnum, _NamedEnumItem, nameof, _xnamed 

from pygeodesy.namedTuples import EasNor3Tuple, LatLonDatum3Tuple, \ 

LatLon2Tuple, _LL4Tuple, PhiLam2Tuple 

from pygeodesy.props import deprecated_method, Property_RO, _update_all 

from pygeodesy.streprs import Fmt, _fstrENH2, _xzipairs 

from pygeodesy.units import Easting, Height, Lam_, Northing, Phi_, Scalar_ 

from pygeodesy.utily import degrees90, degrees180, sincos2, tanPI_2_2 

 

from math import atan, log, radians, sin, sqrt 

 

__all__ = _ALL_LAZY.lcc 

__version__ = '21.07.05' 

 

_E0_ = 'E0' 

_N0_ = 'N0' 

_par1_ = 'par1' 

_par2_ = 'par2' 

_SP_ = 'SP' 

 

 

class Conic(_NamedEnumItem): 

'''Lambert conformal conic projection (1- or 2-SP). 

''' 

_auth = NN # authorization (C{str}) 

_datum = None # datum (L{Datum}) 

_name = NN # conic (L{Conic}) 

 

_e = _0_0 # ellipsoid excentricity (C{float}) 

_E0 = _0_0 # false easting (C{float}) 

_k0 = _1_0 # scale factor (C{float}) 

_N0 = _0_0 # false northing (C{float}) 

_SP = 0 # 1- or 2-SP (C{int}) 

 

_opt3 = _0_0 # optional, longitude (C{radians}) 

_par1 = _0_0 # 1st std parallel (C{radians}) 

_par2 = _0_0 # 2nd std parallel (C{radians}) 

_phi0 = _0_0 # origin lat (C{radians}) 

_lam0 = _0_0 # origin lon (C{radians}) 

 

_aF = _0_0 # precomputed F (C{float}) 

_n = _0_0 # precomputed n (C{float}) 

_n_ = _0_0 # precomputed 1 / n (C{float}) 

_r0 = _0_0 # precomputed rho0 (C{float}) 

 

def __init__(self, latlon0, par1, par2=None, E0=0, N0=0, 

k0=1, opt3=0, name=NN, auth=NN): 

'''New Lambert conformal conic projection. 

 

@arg latlon0: Origin with (ellipsoidal) datum (C{LatLon}). 

@arg par1: First standard parallel (C{degrees90}). 

@kwarg par2: Optional, second standard parallel (C{degrees90}). 

@kwarg E0: Optional, false easting (C{meter}). 

@kwarg N0: Optional, false northing (C{meter}). 

@kwarg k0: Optional scale factor (C{scalar}). 

@kwarg opt3: Optional meridian (C{degrees180}). 

@kwarg name: Optional name of the conic (C{str}). 

@kwarg auth: Optional authentication authority (C{str}). 

 

@return: A Lambert projection (L{Conic}). 

 

@raise TypeError: Non-ellipsoidal B{C{latlon0}}. 

 

@raise ValueError: Invalid B{C{par1}}, B{C{par2}}, 

B{C{E0}}, B{C{N0}}, B{C{k0}} 

or B{C{opt3}}. 

 

@example: 

 

>>> from pygeodesy import Conic, Datums, ellipsoidalNvector 

>>> ll0 = ellipsoidalNvector.LatLon(23, -96, datum=Datums.NAD27) 

>>> Snyder = Conic(ll0, 33, 45, E0=0, N0=0, name='Snyder') 

''' 

if latlon0 is not None: 

_xinstanceof(_LLEB, latlon0=latlon0) 

self._phi0, self._lam0 = latlon0.philam 

 

self._par1 = Phi_(par1=par1) 

self._par2 = self._par1 if par2 is None else Phi_(par2=par2) 

 

if k0 != 1: 

self._k0 = Scalar_(k0=k0) 

if E0: 

self._E0 = Northing(E0=E0, falsed=True) 

if N0: 

self._N0 = Easting(N0=N0, falsed=True) 

if opt3: 

self._opt3 = Lam_(opt3=opt3) 

 

self.toDatum(latlon0.datum)._dup2(self) 

self._register(Conics, name) 

elif name: 

self.name = name 

if auth: 

self._auth = str(auth) 

 

@Property_RO 

def auth(self): 

'''Get the authentication authority (C{str}). 

''' 

return self._auth 

 

@deprecated_method 

def convertDatum(self, datum): 

'''DEPRECATED, use method L{Conic.toDatum}.''' 

return self.toDatum(datum) 

 

@Property_RO 

def datum(self): 

'''Get the datum (L{Datum}). 

''' 

return self._datum 

 

@Property_RO 

def E0(self): 

'''Get the false easting (C{meter}). 

''' 

return self._E0 

 

@Property_RO 

def k0(self): 

'''Get scale factor (C{float}). 

''' 

return self._k0 

 

@Property_RO 

def lat0(self): 

'''Get the origin latitude (C{degrees90}). 

''' 

return degrees90(self._phi0) 

 

@Property_RO 

def latlon0(self): 

'''Get the central origin (L{LatLon2Tuple}C{(lat, lon)}). 

''' 

return LatLon2Tuple(self.lat0, self.lon0, name=self.name) 

 

@Property_RO 

def lam0(self): 

'''Get the central meridian (C{radians}). 

''' 

return self._lam0 

 

@Property_RO 

def lon0(self): 

'''Get the central meridian (C{degrees180}). 

''' 

return degrees180(self._lam0) 

 

@Property_RO 

def N0(self): 

'''Get the false northing (C{meter}). 

''' 

return self._N0 

 

@Property_RO 

def name2(self): 

'''Get the conic and datum names as "conic.datum" (C{str}). 

''' 

return self._DOT_(self.datum.name) 

 

@Property_RO 

def opt3(self): 

'''Get the optional meridian (C{degrees180}). 

''' 

return degrees180(self._opt3) 

 

@Property_RO 

def par1(self): 

'''Get the 1st standard parallel (C{degrees90}). 

''' 

return degrees90(self._par1) 

 

@Property_RO 

def par2(self): 

'''Get the 2nd standard parallel (C{degrees90}). 

''' 

return degrees90(self._par2) 

 

@Property_RO 

def phi0(self): 

'''Get the origin latitude (C{radians}). 

''' 

return self._phi0 

 

@Property_RO 

def philam0(self): 

'''Get the central origin (L{PhiLam2Tuple}C{(phi, lam)}). 

''' 

return PhiLam2Tuple(self.phi0, self.lam0, name=self.name) 

 

@Property_RO 

def SP(self): 

'''Get the number of standard parallels (C{int}). 

''' 

return self._SP 

 

def toDatum(self, datum): 

'''Convert this conic to the given datum. 

 

@arg datum: Ellipsoidal datum to use (L{Datum}, L{Ellipsoid}, 

L{Ellipsoid2} or L{a_f2Tuple}). 

 

@return: Converted conic, unregistered (L{Conic}). 

 

@raise TypeError: Non-ellipsoidal B{C{datum}}. 

''' 

d = _ellipsoidal_datum(datum, name=self.name) 

E = d.ellipsoid 

if not E.isEllipsoidal: 

raise _IsnotError(_ellipsoidal_, datum=datum) 

 

c = self 

if c._e != E.e or c._datum != d: 

 

c = Conic(None, 0, name=self._name) 

self._dup2(c) 

c._datum = d 

c._e = E.e 

 

if abs(c._par1 - c._par2) < EPS: 

m1 = c._mdef(c._phi0) 

t1 = c._tdef(c._phi0) 

t0 = t1 

k = 1 # _1_0 

n = sin(c._phi0) 

sp = 1 

else: 

m1 = c._mdef(c._par1) 

m2 = c._mdef(c._par2) 

t1 = c._tdef(c._par1) 

t2 = c._tdef(c._par2) 

t0 = c._tdef(c._phi0) 

k = c._k0 

n = (log(m1) - log(m2)) \ 

/ (log(t1) - log(t2)) 

sp = 2 

 

F = m1 / (n * pow(t1, n)) 

 

c._aF = k * E.a * F 

c._n = n 

c._n_ = _1_0 / n 

c._r0 = c._rdef(t0) 

c._SP = sp 

 

return c 

 

def toStr(self, prec=8): # PYCHOK expected 

'''Return this conic as a string. 

 

@kwarg prec: Optional number of decimals, unstripped (C{int}). 

 

@return: Conic attributes (C{str}). 

''' 

if self._SP == 1: 

return self._instr(prec, _lat0_, _lon0_, _par1_, 

_E0_, _N0_, _k0_, _SP_, 

datum=self.datum) 

else: 

return self._instr(prec, _lat0_, _lon0_, _par1_, _par2_, 

_E0_, _N0_, _k0_, _SP_, 

datum=self.datum) 

 

def _dup2(self, c): 

'''(INTERNAL) Copy this conic to C{c}. 

 

@arg c: Duplicate (L{Conic}). 

''' 

_update_all(c) 

 

c._auth = self._auth 

c._datum = self._datum 

 

c._e = self._e 

c._E0 = self._E0 

c._k0 = self._k0 

c._N0 = self._N0 

c._SP = self._SP 

 

c._par1 = self._par1 

c._par2 = self._par2 

c._phi0 = self._phi0 

c._lam0 = self._lam0 

c._opt3 = self._opt3 

 

c._aF = self._aF 

c._n = self._n 

c._n_ = self._n_ 

c._r0 = self._r0 

 

def _mdef(self, a): 

'''(INTERNAL) Compute m(a). 

''' 

s, c = sincos2(a) 

s = _1_0 - (s * self._e)**2 

return (c / sqrt(s)) if s > _EPS0__2 else _0_0 

 

def _pdef(self, a): 

'''(INTERNAL) Compute p(a). 

''' 

s = self._e * sin(a) 

return pow((_1_0 - s) / (_1_0 + s), self._e * _0_5) 

 

def _rdef(self, t): 

'''(INTERNAL) Compute r(t). 

''' 

return self._aF * pow(t, self._n) 

 

def _tdef(self, a): 

'''(INTERNAL) Compute t(lat). 

''' 

return max(_0_0, tanPI_2_2(-a) / self._pdef(a)) 

 

def _xdef(self, t_x): 

'''(INTERNAL) Compute x(t_x). 

''' 

return PI_2 - 2 * atan(t_x) # XXX + self._phi0 

 

 

Conic._name = Conic.__name__ 

 

 

class Conics(_NamedEnum): 

'''(INTERNAL) L{Conic} registry, I{must} be a sub-class 

to accommodate the L{_LazyNamedEnumItem} properties. 

''' 

def _Lazy(self, lat, lon, datum_name, *args, **kwds): 

'''(INTERNAL) Instantiate the L{Conic}. 

''' 

return Conic(_LLEB(lat, lon, datum=Datums.get(datum_name)), *args, **kwds) 

 

Conics = Conics(Conic) # PYCHOK singleton 

'''Some pre-defined L{Conic}s, all I{lazily} instantiated.''' 

Conics._assert( # <https://SpatialReference.org/ref/sr-org/...> 

# AsLb = _lazy('AsLb', _F(-14.2666667), _F(170), _NAD27_, _0_0, _0_0, 

# E0=_F(500000), N0=_0_0, auth='EPSG:2155'), # American Samoa ... SP=1 ! 

Be08Lb = _lazy('Be08Lb', _F(50.7978150), _F(4.359215833), _GRS80_, _F(49.8333339), _F(51.1666672), 

E0=_F(649328.0), N0=_F(665262.0), auth='EPSG:9802'), # Belgium 

Be72Lb = _lazy('Be72Lb', _90_0, _F(4.3674867), _NAD83_, _F(49.8333339), _F(51.1666672), 

E0=_F(150000.013), N0=_F(5400088.438), auth='EPSG:31370'), # Belgium 

Fr93Lb = _lazy('Fr93Lb', _F(46.5), _F(3), _WGS84_, _F(49), _F(44), 

E0=_F(700000), N0=_F(6600000), auth='EPSG:2154'), # RFG93, France 

MaNLb = _lazy('MaNLb', _F(33.3), _F(-5.4), _NTF_, _F(31.73), _F(34.87), 

E0=_F(500000), N0=_F(300000)), # Marocco 

MxLb = _lazy('MxLb', _F(12), _F(-102), _WGS84_, _F(17.5), _F(29.5), 

E0=_F(2500000), N0=_0_0, auth='EPSG:2155'), # Mexico 

PyT_Lb = _lazy('PyT_Lb', _F(46.8), _F(2.33722917), _NTF_, _F(45.89893890000052), _F(47.69601440000037), 

E0=_F(600000), N0=_F(200000), auth='Test'), # France? 

USA_Lb = _lazy('USA_Lb', _F(23), _F(-96), _WGS84_, _F(33), _F(45), 

E0=_0_0, N0=_0_0), # Conterminous, contiguous USA? 

WRF_Lb = _lazy('WRF_Lb', _F(40), _F(-97), _WGS84_, _F(33), _F(45), 

E0=_0_0, N0=_0_0, auth='EPSG:4326') # World 

) 

 

 

class LCCError(_ValueError): 

'''Lambert Conformal Conic C{LCC} or other L{Lcc} issue. 

''' 

pass 

 

 

class Lcc(_NamedBase): 

'''Lambert conformal conic East-/Northing location. 

''' 

_conic = None # Lambert projection (L{Conic}) 

_easting = _0_0 # Easting (C{float}) 

_height = 0 # height (C{meter}) 

_northing = _0_0 # Northing (C{float}) 

 

def __init__(self, e, n, h=0, conic=Conics.WRF_Lb, name=NN): 

'''New L{Lcc} Lamber conformal conic position. 

 

@arg e: Easting (C{meter}). 

@arg n: Northing (C{meter}). 

@kwarg h: Optional height (C{meter}). 

@kwarg conic: Optional, the conic projection (L{Conic}). 

@kwarg name: Optional name (C{str}). 

 

@return: The Lambert location (L{Lcc}). 

 

@raise LCCError: Invalid B{C{h}} or invalid or 

negative B{C{e}} or B{C{n}}. 

 

@raise TypeError: If B{C{conic}} is not L{Conic}. 

 

@example: 

 

>>> lb = Lcc(448251, 5411932.0001) 

''' 

_xinstanceof(Conic, conic=conic) 

self._conic = conic 

self._easting = Easting(e, falsed=conic.E0 > 0, Error=LCCError) 

self._northing = Northing(n, falsed=conic.N0 > 0, Error=LCCError) 

if h: 

self._height = Height(h=h, Error=LCCError) 

if name: 

self.name = name 

 

@Property_RO 

def conic(self): 

'''Get the conic projection (L{Conic}). 

''' 

return self._conic 

 

@Property_RO 

def easting(self): 

'''Get the easting (C{meter}). 

''' 

return self._easting 

 

@Property_RO 

def height(self): 

'''Get the height (C{meter}). 

''' 

return self._height 

 

@Property_RO 

def latlon(self): 

'''Get the lat- and longitude in C{degrees} (L{LatLon2Tuple}). 

''' 

ll = self.toLatLon(LatLon=None, datum=None) 

return LatLon2Tuple(ll.lat, ll.lon, name=self.name) 

 

@Property_RO 

def latlonheight(self): 

'''Get the lat-, longitude and height (L{LatLon3Tuple}C{(lat, lon, height)}). 

''' 

return self.latlon.to3Tuple(self.height) 

 

@Property_RO 

def latlonheightdatum(self): 

'''Get the lat-, longitude in C{degrees} with height and datum (L{LatLon4Tuple}C{(lat, lon, height, datum)}). 

''' 

return self.latlonheight.to4Tuple(self.conic.datum) 

 

@Property_RO 

def northing(self): 

'''Get the northing (C{meter}). 

''' 

return self._northing 

 

@Property_RO 

def philam(self): 

'''Get the lat- and longitude in C{radians} (L{PhiLam2Tuple}). 

''' 

return PhiLam2Tuple(radians(self.latlon.lat), 

radians(self.latlon.lon), name=self.name) 

 

@Property_RO 

def philamheight(self): 

'''Get the lat-, longitude in C{radians} and height (L{PhiLam3Tuple}C{(phi, lam, height)}). 

''' 

return self.philam.to3Tuple(self.height) 

 

@Property_RO 

def philamheightdatum(self): 

'''Get the lat-, longitude in C{radians} with height and datum (L{PhiLam4Tuple}C{(phi, lam, height, datum)}). 

''' 

return self.philamheight.to4Tuple(self.datum) 

 

@deprecated_method 

def to3lld(self, datum=None): # PYCHOK no cover 

'''DEPRECATED, use method C{toLatLon}. 

 

@kwarg datum: Optional datum to use, otherwise use this 

B{C{Lcc}}'s conic.datum (C{Datum}). 

 

@return: A L{LatLonDatum3Tuple}C{(lat, lon, datum)}. 

 

@raise TypeError: If B{C{datum}} is not ellipsoidal. 

''' 

if datum in (None, self.conic.datum): 

r = LatLonDatum3Tuple(self.latlon.lat, 

self.latlon.lon, 

self.conic.datum, name=self.name) 

else: 

r = self.toLatLon(LatLon=None, datum=datum) 

r = LatLonDatum3Tuple(r.lat, r.lon, r.datum, name=r.name) 

return r 

 

def toLatLon(self, LatLon=None, datum=None, height=None, **LatLon_kwds): 

'''Convert this L{Lcc} to an (ellipsoidal) geodetic point. 

 

@kwarg LatLon: Optional, ellipsoidal class to return the 

geodetic point (C{LatLon}) or C{None}. 

@kwarg datum: Optional datum to use, otherwise use this 

B{C{Lcc}}'s conic.datum (L{Datum}, L{Ellipsoid}, 

L{Ellipsoid2} or L{a_f2Tuple}). 

@kwarg height: Optional height for the point, overriding 

the default height (C{meter}). 

@kwarg LatLon_kwds: Optional, additional B{C{LatLon}} keyword 

arguments, unused if C{B{LatLon}=None}. 

 

@return: The point (B{C{LatLon}}) or a 

L{LatLon4Tuple}C{(lat, lon, height, datum)} 

if B{C{LatLon}} is C{None}. 

 

@raise TypeError: If B{C{LatLon}} or B{C{datum}} is 

not ellipsoidal or not valid. 

''' 

if LatLon: 

_xsubclassof(_LLEB, LatLon=LatLon) 

 

c = self.conic 

if datum not in (None, self.conic.datum): 

c = c.toDatum(datum) 

 

e = self.easting - c._E0 

n = c._r0 - self.northing + c._N0 

 

r_ = copysign0(hypot(e, n), c._n) 

t_ = pow(r_ / c._aF, c._n_) 

 

x = c._xdef(t_) # XXX c._lam0 

while True: 

p, x = x, c._xdef(t_ * c._pdef(x)) 

if abs(x - p) < 1e-9: # XXX EPS too small? 

break 

lat = degrees90(x) 

lon = degrees180((atan(e / n) + c._opt3) * c._n_ + c._lam0) 

 

h = self.height if height is None else Height(height) 

return _LL4Tuple(lat, lon, h, c.datum, LatLon, LatLon_kwds, 

inst=self, name=self.name) 

 

def toRepr(self, prec=0, fmt=Fmt.SQUARE, sep=_COMMASPACE_, m=_m_, C=False, **unused): # PYCHOK expected 

'''Return a string representation of this L{Lcc} position. 

 

@kwarg prec: Optional number of decimals, unstripped (C{int}). 

@kwarg fmt: Optional, enclosing backets format (C{str}). 

@kwarg sep: Optional separator between name:values (C{str}). 

@kwarg m: Optional unit of the height, default meter (C{str}). 

@kwarg C: Optionally, include name of conic and datum (C{bool}). 

 

@return: This Lcc as "[E:meter, N:meter, H:m, C:Conic.Datum]" 

(C{str}). 

''' 

t, T = _fstrENH2(self, prec, m) 

if C: 

t += self.conic.name2, 

T += _C_, 

return _xzipairs(T, t, sep=sep, fmt=fmt) 

 

def toStr(self, prec=0, sep=_SPACE_, m=_m_): # PYCHOK expected 

'''Return a string representation of this L{Lcc} position. 

 

@kwarg prec: Optional number of decimal, unstripped (C{int}). 

@kwarg sep: Optional separator to join (C{str}) or C{None} 

to return an unjoined C{tuple} of C{str}s. 

@kwarg m: Optional height units, default C{meter} (C{str}). 

 

@return: This Lcc as I{"easting nothing"} in C{meter} plus 

I{" height"} suffixed with B{C{m}} if height is 

non-zero (C{str}). 

''' 

t, _ = _fstrENH2(self, prec, m) 

return t if sep is None else sep.join(t) 

 

 

def toLcc(latlon, conic=Conics.WRF_Lb, height=None, Lcc=Lcc, name=NN, 

**Lcc_kwds): 

'''Convert an (ellipsoidal) geodetic point to a I{Lambert} location. 

 

@arg latlon: Ellipsoidal point (C{LatLon}). 

@kwarg conic: Optional Lambert projection to use (L{Conic}). 

@kwarg height: Optional height for the point, overriding the 

default height (C{meter}). 

@kwarg Lcc: Optional class to return the I{Lambert} location 

(L{Lcc}). 

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

@kwarg Lcc_kwds: Optional, additional B{C{Lcc}} keyword 

arguments, ignored if B{C{Lcc}} is C{None}. 

 

@return: The I{Lambert} location (L{Lcc}) or an 

L{EasNor3Tuple}C{(easting, northing, height)} 

if C{B{Lcc}=None}. 

 

@raise TypeError: If B{C{latlon}} is not ellipsoidal. 

''' 

_xinstanceof(_LLEB, latlon=latlon) 

 

a, b = latlon.philam 

c = conic.toDatum(latlon.datum) 

 

t = c._n * (b - c._lam0) - c._opt3 

st, ct = sincos2(t) 

 

r = c._rdef(c._tdef(a)) 

e = c._E0 + r * st 

n = c._N0 + c._r0 - r * ct 

 

h = latlon.height if height is None else height 

r = EasNor3Tuple(e, n, h) if Lcc is None else \ 

Lcc(e, n, h=h, conic=c, **Lcc_kwds) 

return _xnamed(r, name or nameof(latlon)) 

 

 

if __name__ == '__main__': 

 

from pygeodesy.interns import _NL_, _NL_var_ 

 

# __doc__ of this file, force all into registery 

t = _NL_ + Conics.toRepr(all=True) 

print(_NL_var_.join(t.split(_NL_))) 

 

# **) MIT License 

# 

# Copyright (C) 2016-2021 -- mrJean1 at Gmail -- All Rights Reserved. 

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# to deal in the Software without restriction, including without limitation 

# the rights to use, copy, modify, merge, publish, distribute, sublicense, 

# and/or sell copies of the Software, and to permit persons to whom the 

# Software is furnished to do so, subject to the following conditions: 

# 

# The above copyright notice and this permission notice shall be included 

# in all copies or substantial portions of the Software. 

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