Moved wgs_84 time and distance calc routines to fg_geodesy.[ch]xx
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1 changed files with 2 additions and 214 deletions
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@ -952,7 +952,8 @@ void TgtAptDialog_OK (puObject *)
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MakeTargetDistanceStr( APData, distance );
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// This changes the AutoPilot Heading
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// following cast needed
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ApHeadingDialogInput->setValue ((float)APData->TargetHeading );
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ApHeadingDialogInput->
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setValue((float)APData->TargetHeading);
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// Force this !
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APData->waypoint_hold = true ;
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APData->heading_hold = true;
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@ -1688,216 +1689,3 @@ static double LinearExtrapolate( double x, double x1, double y1, double x2, doub
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return ( y );
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};
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/* Direct and inverse distance functions */
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/** Proceedings of the 7th International Symposium on Geodetic
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Computations, 1985
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"The Nested Coefficient Method for Accurate Solutions of Direct
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and
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Inverse Geodetic Problems With Any Length"
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Zhang Xue-Lian
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pp 747-763
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*/
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/* modified for FlightGear to use WGS84 only Norman Vine */
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//#include "dstazfns.h"
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#include <math.h>
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#define GEOD_INV_PI (3.14159265358979323846)
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/* s == distance */
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/* az = azimuth */
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/* for WGS_84 a = 6378137.000, rf = 298.257223563; */
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static double M0( double e2 )
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{ //double e4 = e2*e2;
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return GEOD_INV_PI*(1.0 - e2*( 1.0/4.0 + e2*( 3.0/64.0 + e2*(5.0/256.0) )))/2.0;
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}
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/* s == distance */
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int geo_direct_wgs_84 ( double alt, double lat1, double lon1, double az1, double s,
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double *lat2, double *lon2, double *az2 )
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{
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double a = 6378137.000, rf = 298.257223563;
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double RADDEG = (GEOD_INV_PI)/180.0, testv = 1.0E-10;
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double f = ( rf > 0.0 ? 1.0/rf : 0.0 );
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double b = a*(1.0-f), e2 = f*(2.0-f);
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double phi1 = lat1*RADDEG, lam1 = lon1*RADDEG;
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double sinphi1 = sin(phi1), cosphi1 = cos(phi1);
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double azm1 = az1*RADDEG;
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double sinaz1 = sin(azm1), cosaz1 = cos(azm1);
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if( fabs(s) < 0.01 ) /* distance < centimeter => congruency */
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{ *lat2 = lat1;
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*lon2 = lon1;
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*az2 = 180.0 + az1;
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if( *az2 > 360.0 ) *az2 -= 360.0;
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return 0;
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}
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else
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if( cosphi1 ) /* non-polar origin */
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{ /* u1 is reduced latitude */
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double tanu1 = sqrt(1.0-e2)*sinphi1/cosphi1;
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double sig1 = atan2(tanu1,cosaz1);
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double cosu1 = 1.0/sqrt( 1.0 + tanu1*tanu1 ), sinu1 = tanu1*cosu1;
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double sinaz = cosu1*sinaz1, cos2saz = 1.0-sinaz*sinaz;
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double us = cos2saz*e2/(1.0-e2);
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/* Terms */
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double ta = 1.0+us*(4096.0+us*(-768.0+us*(320.0-175.0*us)))/16384.0,
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tb = us*(256.0+us*(-128.0+us*(74.0-47.0*us)))/1024.0,
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tc = 0;
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/* FIRST ESTIMATE OF SIGMA (SIG) */
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double first = s/(b*ta); /* !!*/
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double sig = first;
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double c2sigm, sinsig,cossig, temp,denom,rnumer, dlams, dlam;
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do
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{ c2sigm = cos(2.0*sig1+sig);
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sinsig = sin(sig); cossig = cos(sig);
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temp = sig;
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sig = first +
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tb*sinsig*(c2sigm+tb*(cossig*(-1.0+2.0*c2sigm*c2sigm) -
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tb*c2sigm*(-3.0+4.0*sinsig*sinsig)
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*(-3.0+4.0*c2sigm*c2sigm)/6.0)
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/4.0);
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}
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while( fabs(sig-temp) > testv);
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/* LATITUDE OF POINT 2 */
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/* DENOMINATOR IN 2 PARTS (TEMP ALSO USED LATER) */
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temp = sinu1*sinsig-cosu1*cossig*cosaz1;
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denom = (1.0-f)*sqrt(sinaz*sinaz+temp*temp);
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/* NUMERATOR */
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rnumer = sinu1*cossig+cosu1*sinsig*cosaz1;
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*lat2 = atan2(rnumer,denom)/RADDEG;
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/* DIFFERENCE IN LONGITUDE ON AUXILARY SPHERE (DLAMS ) */
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rnumer = sinsig*sinaz1;
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denom = cosu1*cossig-sinu1*sinsig*cosaz1;
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dlams = atan2(rnumer,denom);
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/* TERM C */
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tc = f*cos2saz*(4.0+f*(4.0-3.0*cos2saz))/16.0;
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/* DIFFERENCE IN LONGITUDE */
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dlam = dlams-(1.0-tc)*f*sinaz*(sig+tc*sinsig*
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(c2sigm+
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tc*cossig*(-1.0+2.0*
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c2sigm*c2sigm)));
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*lon2 = (lam1+dlam)/RADDEG;
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if(*lon2 > 180.0 ) *lon2 -= 360.0;
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if(*lon2 < -180.0 ) *lon2 += 360.0;
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/* AZIMUTH - FROM NORTH */
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*az2 = atan2(-sinaz,temp)/RADDEG;
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if( fabs(*az2) < testv ) *az2 = 0.0;
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if( *az2 < 0.0) *az2 += 360.0;
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return 0;
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}
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else /* phi1 == 90 degrees, polar origin */
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{ double dM = a*M0(e2) - s;
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double paz = ( phi1 < 0.0 ? 180.0 : 0.0 );
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return geo_direct_wgs_84( alt, 0.0, lon1, paz, dM,lat2,lon2,az2 );
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}
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}
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int geo_inverse_wgs_84( double alt, double lat1, double lon1, double lat2,
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double lon2, double *az1, double *az2, double *s )
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{
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double a = 6378137.000, rf = 298.257223563;
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int iter=0;
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double RADDEG = (GEOD_INV_PI)/180.0, testv = 1.0E-10;
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double f = ( rf > 0.0 ? 1.0/rf : 0.0 );
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double b = a*(1.0-f), e2 = f*(2.0-f);
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double phi1 = lat1*RADDEG, lam1 = lon1*RADDEG;
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double sinphi1 = sin(phi1), cosphi1 = cos(phi1);
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double phi2 = lat2*RADDEG, lam2 = lon2*RADDEG;
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double sinphi2 = sin(phi2), cosphi2 = cos(phi2);
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if( (fabs(lat1-lat2) < testv &&
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( fabs(lon1-lon2) < testv) || fabs(lat1-90.0) < testv ) )
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{ /* TWO STATIONS ARE IDENTICAL : SET DISTANCE & AZIMUTHS TO ZERO */
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*az1 = 0.0; *az2 = 0.0; *s = 0.0;
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return 0;
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} else
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if( fabs(cosphi1) < testv ) /* initial point is polar */
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{
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int k = geo_inverse_wgs_84( alt, lat2,lon2,lat1,lon1, az1,az2,s );
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b = *az1; *az1 = *az2; *az2 = b;
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return 0;
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} else
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if( fabs(cosphi2) < testv ) /* terminal point is polar */
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{
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int k = geo_inverse_wgs_84( alt, lat1,lon1,lat1,lon1+180.0,
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az1,az2,s );
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*s /= 2.0;
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*az2 = *az1 + 180.0;
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if( *az2 > 360.0 ) *az2 -= 360.0;
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return 0;
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} else /* Geodesic passes through the pole (antipodal) */
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if( (fabs( fabs(lon1-lon2) - 180 ) < testv) &&
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(fabs(lat1+lat2) < testv) )
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{
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double s1,s2;
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geo_inverse_wgs_84( alt, lat1,lon1, lat1,lon2, az1,az2, &s1 );
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geo_inverse_wgs_84( alt, lat2,lon2, lat1,lon2, az1,az2, &s2 );
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*az2 = *az1;
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*s = s1 + s2;
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return 0;
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} else /* antipodal and polar points don't get here */
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{
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double dlam = lam2 - lam1, dlams = dlam;
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double sdlams,cdlams, sig,sinsig,cossig, sinaz,
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cos2saz, c2sigm;
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double tc,temp, us,rnumer,denom, ta,tb;
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double cosu1,sinu1, sinu2,cosu2;
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/* Reduced latitudes */
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temp = (1.0-f)*sinphi1/cosphi1;
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cosu1 = 1.0/sqrt(1.0+temp*temp);
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sinu1 = temp*cosu1;
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temp = (1.0-f)*sinphi2/cosphi2;
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cosu2 = 1.0/sqrt(1.0+temp*temp);
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sinu2 = temp*cosu2;
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do {
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sdlams = sin(dlams), cdlams = cos(dlams);
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sinsig = sqrt(cosu2*cosu2*sdlams*sdlams+
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(cosu1*sinu2-sinu1*cosu2*cdlams)*
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(cosu1*sinu2-sinu1*cosu2*cdlams));
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cossig = sinu1*sinu2+cosu1*cosu2*cdlams;
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sig = atan2(sinsig,cossig);
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sinaz = cosu1*cosu2*sdlams/sinsig;
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cos2saz = 1.0-sinaz*sinaz;
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c2sigm = (sinu1 == 0.0 || sinu2 == 0.0 ? cossig :
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cossig-2.0*sinu1*sinu2/cos2saz);
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tc = f*cos2saz*(4.0+f*(4.0-3.0*cos2saz))/16.0;
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temp = dlams;
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dlams = dlam+(1.0-tc)*f*sinaz*
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(sig+tc*sinsig*
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(c2sigm+tc*cossig*(-1.0+2.0*c2sigm*c2sigm)));
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if (fabs(dlams) > GEOD_INV_PI && iter++ > 50)
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return iter;
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} while ( fabs(temp-dlams) > testv);
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us = cos2saz*(a*a-b*b)/(b*b); /* !! */
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/* BACK AZIMUTH FROM NORTH */
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rnumer = -(cosu1*sdlams);
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denom = sinu1*cosu2-cosu1*sinu2*cdlams;
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*az2 = atan2(rnumer,denom)/RADDEG;
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if( fabs(*az2) < testv ) *az2 = 0.0;
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if(*az2 < 0.0) *az2 += 360.0;
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/* FORWARD AZIMUTH FROM NORTH */
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rnumer = cosu2*sdlams;
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denom = cosu1*sinu2-sinu1*cosu2*cdlams;
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*az1 = atan2(rnumer,denom)/RADDEG;
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if( fabs(*az1) < testv ) *az1 = 0.0;
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if(*az1 < 0.0) *az1 += 360.0;
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/* Terms a & b */
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ta = 1.0+us*(4096.0+us*(-768.0+us*(320.0-175.0*us)))/
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16384.0;
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tb = us*(256.0+us*(-128.0+us*(74.0-47.0*us)))/1024.0;
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/* GEODETIC DISTANCE */
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*s = b*ta*(sig-tb*sinsig*
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(c2sigm+tb*(cossig*(-1.0+2.0*c2sigm*c2sigm)-tb*
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c2sigm*(-3.0+4.0*sinsig*sinsig)*
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(-3.0+4.0*c2sigm*c2sigm)/6.0)/
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4.0));
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return 0;
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}
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}
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