.fG<dZddlZddlmZddlmZGddZy)aDefine the :class:`~geographiclib.geodesicline.GeodesicLine` class The constructor defines the starting point of the line. Points on the line are given by * :meth:`~geographiclib.geodesicline.GeodesicLine.Position` position given in terms of distance * :meth:`~geographiclib.geodesicline.GeodesicLine.ArcPosition` position given in terms of spherical arc length A reference point 3 can be defined with * :meth:`~geographiclib.geodesicline.GeodesicLine.SetDistance` set position of 3 in terms of the distance from the starting point * :meth:`~geographiclib.geodesicline.GeodesicLine.SetArc` set position of 3 in terms of the spherical arc length from the starting point The object can also be constructed by * :meth:`Geodesic.Line ` * :meth:`Geodesic.DirectLine ` * :meth:`Geodesic.ArcDirectLine ` * :meth:`Geodesic.InverseLine ` The public attributes for this class are * :attr:`~geographiclib.geodesicline.GeodesicLine.a` :attr:`~geographiclib.geodesicline.GeodesicLine.f` :attr:`~geographiclib.geodesicline.GeodesicLine.caps` :attr:`~geographiclib.geodesicline.GeodesicLine.lat1` :attr:`~geographiclib.geodesicline.GeodesicLine.lon1` :attr:`~geographiclib.geodesicline.GeodesicLine.azi1` :attr:`~geographiclib.geodesicline.GeodesicLine.salp1` :attr:`~geographiclib.geodesicline.GeodesicLine.calp1` :attr:`~geographiclib.geodesicline.GeodesicLine.s13` :attr:`~geographiclib.geodesicline.GeodesicLine.a13` N)Math)GeodesicCapabilityceZdZdZej ej zejejfdZ dZ ej fdZ ej fdZ dZ dZy) GeodesicLinezPoints on a geodesic pathcLddlm}|j|_ |j|_ |j|_|j |_|j |_||jz|jz|jz|_ tj||_ ||_ tj |stj |rPtj"||_tj&tj(|\|_|_n||_ ||_ ||_ tj&tj(|j\} } | |j z} tj.| | \} } t1|j2| } tj4d|j6tj8| zz|_|j*| z|_tj>|j,|j*| z|_ | |_!|j<| z|_"| dk7s|j,dk7r| |j,zndx|_#|_$tj.|jB|jF\|_!|_#tj8|j@|j6z|_%|jJddtj4d|jJzzz|jJzz } |j|jLzr|jO| |_(tStU|jVdz|_,|j[| |jX|j]d|jB|jF|jX|_/tj`|j^} tjb|j^} |jB| z|jF| zz|_2|jF| z|jB| zz |_3|j|jhzrBtStU|jjdz|_6|jo| |jl|j|jpzr|js| |_:tStU|jvdz|_<|j{| |jx|j]d|jB|jF|jx|_>|j|j~zrtStU|j|_A|j| |j|j |j<z|j| z|_D|j]d|jB|jF|j|_E|j|jzrtStU|j|_H|j| |jtj8|j|j@z|j<z|jz|_K|j]d|jB|jF|j|_Ltj|_N tj|_Oy)avConstruct a GeodesicLine object :param geod: a :class:`~geographiclib.geodesic.Geodesic` object :param lat1: latitude of the first point in degrees :param lon1: longitude of the first point in degrees :param azi1: azimuth at the first point in degrees :param caps: the :ref:`capabilities ` This creates an object allowing points along a geodesic starting at (*lat1*, *lon1*), with azimuth *azi1* to be found. The default value of *caps* is STANDARD | DISTANCE_IN. The optional parameters *salp1* and *calp1* should not be supplied; they are part of the private interface. rGeodesicTFN)Pgeographiclib.geodesicr af_b_c2_f1LATITUDEAZIMUTH LONG_UNROLLcapsrLatFixlat1lon1mathisnan AngNormalizeazi1sincosdAngRoundsalp1calp1normmaxtiny_sqrt_ep2sq_dn1_salp0hypot_calp0_ssig1_somg1_csig1_comg1_k2CAP_C1_A1m1f_A1m1listrangenC1__C1a_C1f _SinCosSeries_B11sincos_stau1_ctau1CAP_C1pnC1p__C1pa_C1pfCAP_C2_A2m1f_A2m1nC2__C2a_C2f_B21CAP_C3nC3__C3a_C3f_A3f_A3c_B31CAP_C4nC4__C4a_C4f_e2_A4_B41nans13a13)selfgeodrrrrrr r sbet1cbet1epsscs YC:\Users\user\Documents\project_loop\venv\Lib\site-packages\geographiclib/geodesicline.py__init__zGeodesicLine.__init__Bs (0 VVDF4 VVDF#ggDGxxDHxxDH)))H,<,<<&&'DI% D!DI?DI@ zz%DJJu-##D)di#||DMM$,?@dj$*di@djAdjC<< dii 89LE55DHH;L599UE*LE5C4NE !dii$''%.889DI**u$DK**TZZe);|z}tj@|jB|j>|z}|dk(r|jDx}}|jB}|j>|z}||j8zr&|r"|jd|jz|z|zzn|} ||jFzr|jB|z}|}tjHd|jB} ||jJzr| |tjL||tjL|j,|j.z z tjL| |z|tjL| |jNz|jPz zznOtjL||jPz||jNzz ||jPz||jNzz}!|!|jR||jd|||jT|jVz zzz}"tjX|"}#||jJzr|jZ|#znGtj\tj\|jZtj\|#z}||j^zr#tj`||jb|z}||jdzrtj`||}||j:|j<zzrX|jd|||jf}$d|jhz|$|jjz z}%|j|jhz |z||%z z}&||j:zrO|j||j.|zz|jl|j,|zzz |j.|z|&zz z} ||j<zr|j4||j,z z||j,zz|jl|zz }'||'|z||&zz |j,z|jlz z} ||'|j,z|j.|&zz |z|z z } ||jnzrp|jd|||jp}(|j>dk(s|jBdk(r?||jrz||jtzz })||jrz||jtzz}*n|j>|jBz|dkr"|j.d|z z||j,zzn$||j.|zd|zz |j,zzz})tj6|jBtj6|j>|j.z|zz}*|jvtjL|)|*z|jx|(|jzz zz} |r|ntjX|}||||| | | | | f S)z4Private: General solution of position along geodesicrrgr Tg{Gz?F)>r r rrWrOUT_MASK DISTANCE_INradiansrrrr2isfiniter:r;r8r<r=r@r9absrr+r-r6r$r/r&DISTANCE REDUCEDLENGTH GEODESICSCALEr*r)r(r# LONGITUDEcopysignratan2r,r.rNrKrOdegreesrrratan2drrrFrDrHr'AREArRr rrrUrV)+rZarcmodes12_a12outmaskr a12lat2lon2azi2s12m12M12M21S12B12AB1sig12ssig12csig12tau12r_r`ssig2csig2serrdn2sbet2cbet2salp2calp2somg2comg2Eomg12lam12lon12B22AB2J12tB42salp12calp12s+ ra _GenPositionzGeodesicLine._GenPositionsi/=AXXECE$EEEsESE3Es tyy8,,,,G  YY(++h.B.BB C $dCc3 ;; CSsll7#e||G,nffA N34e}}U+ee ((5/atxx1$$T$(KK!OdkkAo$E$(KK!OdkkAo$E$(JJ0 0csTYY'exxf% TVVt , f$t{{V';; f$t{{V';;$$T5%CTZZES499_$=>$''!"tyyTXX-F)FGGG%488E?& KK& 4;;#7 7E KK& 4;;#7 7E ))A4775>11 2C(00083I3IIK CK$&$$T5%C ^dii 0c KK% E JJt{{DKK%$7 8E znn$ee KKEu!4""":ADGGDJJ%/#5 6wc###kkE!e55 --4;; 'aH000 EzzE?zzdkk4;;?@Azz!E/?zz!dkk/4;;?@AB JJut{{2UT[[5HH$t{{2UT[[5HHJ  dii ''eUDIIF99 ell5!e#*X-A-A#Adii% 1 1$)) < $ 1 1% 8!9: """ [[5 0 1d!!! [[ &d(((8+A+AAB  " "4tyy Ac ^dii 0c ZZ$** $ -s ;c 8)) )ggt{{U': ;))t{{U':;!<;;.456 8)) ) XX, -dkk!#&*ii#o7E ECK/4;;>JJDKK$++*;;uDsJJ  " "5% Bc  T[[A-#edjj&88#edjj&88t{{*?E{$++V $v '; ;v-V` :return: a :ref:`dict` The default value of *outmask* is STANDARD, i.e., the *lat1*, *lon1*, *azi1*, *lat2*, *lon2*, *azi2*, *s12*, *a12* entries are returned. The :class:`~geographiclib.geodesicline.GeodesicLine` object must have been constructed with the DISTANCE_IN capability. rr)rrrrzFrvrwrxryr{r|r}r~)r r rrrrrrrrerrmrrkrlrr) rZrzrur resultrvrwrxryr{r|r}r~s raPositionzGeodesicLine.PositionVs0ii#*X-A-A#Adii *ii-F6:5F5F S'62CtT3S#s x   GF5M"""TF6N###dVF^!!!D6&>''''''fUm36%=u Mrcc 2ddlm}|j||jzr |jnt j |j|j|d}|jd||\ }}}}}} } } } ||jz}||jzr||d<||jzr||d<||jzr||d<||jzr||d<||jzr| |d <||jzr | |d <| |d <||j zr| |d <|S) aoFind the position on the line given *a12* :param a12: spherical arc length from the first point to the second in degrees :param outmask: the :ref:`output mask ` :return: a :ref:`dict` The default value of *outmask* is STANDARD, i.e., the *lat1*, *lon1*, *azi1*, *lat2*, *lon2*, *azi2*, *s12*, *a12* entries are returned. rr)rrrrvTrzrwrxryr{r|r}r~)r r rrrrrrrrerjrrmrrkrlrr) rZrvrur rrwrxryrzr{r|r}r~s ra ArcPositionzGeodesicLine.ArcPositionws&0ii#*X-A-A#Adii *ii-F6:5F5F C62CtT3S#s x   G"""CF5M"""TF6N###dVF^!!!D6&>''''''fUm36%=u Mrcc j||_|jd|jd\ |_}}}}}}}}y)zvSpecify the position of point 3 in terms of distance :param s13: distance from point 1 to point 3 in meters FrN)rXrrY)rZrX_s ra SetDistancezGeodesicLine.SetDistances8DH'+'8'8!'L$DHaAq!Q1rcc ddlm}||_|jd|j|j\ }}}}|_}}}}y)zSpecify the position of point 3 in terms of arc length :param a13: spherical arc length from point 1 to point 3 in degrees rrTN)r r rYrrjrX)rZrYr rs raSetArczGeodesicLine.SetArcsE0DH'+'8'8txx9A9J9J(L$Aq!Q!Q1rcN)__name__ __module__ __qualname____doc__rSTANDARDrfrrWrbrrrrrrcrarr?sh!)11!--.xxxKvW:r%7$?$?B(:'B'B@M Lrcr)rrgeographiclib.geomathr geographiclib.geodesiccapabilityrrrrcrars$&t &?lLlLrc