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soarUMap.c
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soarUMap.c
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#include <PalmOS.h>
#include "soarMap.h"
#include "soarUMap.h"
#include "Mathlib.h"
#include "soaring.h"
#include "soarUtil.h"
#include "soarMem.h"
#include "soarMath.h"
#include "soarForm.h"
#include "soarWay.h"
#include "soarDB.h"
#include "soarIO.h"
#include "soarWind.h"
#include "soarGPSInfo.h"
#include "soarTask.h"
/*****************************************************************************
* globals
*****************************************************************************/
TrkTrail *trail = NULL;
Int16 trailidx = -1;
Int16 idxmax = -1;
double mapscales[MAXMAPSCALEIDX+1] = { 0.2, 0.5, 1.0, 2.0, 3.0, 5.0, 8.0, 10.0, 12.0, 15.0, 20.0, 30.0, 50.0, 80.0, 100.0, 120.0, 150.0, 200.0, 250.0, 300.0};
UInt32 trkplotds[MAXMAPSCALEIDX+1] = { 1, 1, 1, 1, 2, 2, 2, 2, 2, 5, 5, 10, 10, 10, 20, 25, 50, 100, 200, 200};
// UTM Coords
static Ellipsoid ellipsoid[] =
{
{-1, "Placeholder", 0, 0},
{1, "Airy", 6377563, 0.00667054},
{2, "Australian National", 6378160, 0.006694542},
{3, "Bessel 1841", 6377397, 0.006674372},
{4, "Bessel 1841 (Nambia) ", 6377484, 0.006674372},
{5, "Clarke 1866", 6378206, 0.006768658},
{6, "Clarke 1880", 6378249, 0.006803511},
{7, "Everest", 6377276, 0.006637847},
{8, "Fischer 1960 (Mercury) ", 6378166, 0.006693422},
{9, "Fischer 1968", 6378150, 0.006693422},
{10, "GRS 1967", 6378160, 0.006694605},
{11, "GRS 1980", 6378137, 0.00669438},
{12, "Helmert 1906", 6378200, 0.006693422},
{13, "Hough", 6378270, 0.00672267},
{14, "International", 6378388, 0.00672267},
{15, "Krassovsky", 6378245, 0.006693422},
{16, "Modified Airy", 6377340, 0.00667054},
{17, "Modified Everest", 6377304, 0.006637847},
{18, "Modified Fischer 1960", 6378155, 0.006693422},
{19, "South American 1969", 6378160, 0.006694542},
{20, "WGS 60", 6378165, 0.006693422},
{21, "WGS 66", 6378145, 0.006694542},
{22, "WGS-72", 6378135, 0.006694318},
{23, "WGS-84", 6378137, 0.00669438},
{24, "FAI", 6371000, 0.000000002} // Not sure this is right!
};
extern double bigratio;
extern IndexedColorType indexGreen, indexRed, indexBlack, indexGrey, indexOrange;
extern IndexedColorType indexSink, indexWeak, indexStrong, indexWaypt;
extern double curmapscale;
extern double xdist, ydistul, ydistll, ulRng; // screen bounds in nm
extern double crashlat, crashlon;
extern Boolean offterrain;
extern UInt8 mapmode;
extern double mapmaxlat, mapminlat;
extern double mapmaxlon, mapminlon;
extern double truecse;
extern Boolean draw_task;
extern Boolean IsMap;
extern Int16 profilemaxalt;
extern Int16 profileminalt;
extern WindProfileType *windprofile;
extern double profilestep;
extern double MCCurVal;
extern double MCMult;
extern UInt32 cursecs;
extern Int16 inareasector;
/******************************************************************************
* Conversions
*****************************************************************************/
double MetersToNautical(double meters)
{
return (meters / 1852.0);
}
double NauticalToMeters(double miles)
{
return (miles * 1852.0);
}
double MetersToFeet(double meters)
{
return (meters * 3.2808333);
}
double FeetToMeters(double feet)
{
return (feet / 3.2808333);
}
double RelToTrueBrg(double relbrg, double truecse)
{
double truebrg;
truebrg = relbrg + truecse;
if (truebrg >= 360.0) {
truebrg -= 360.0;
}
return(truebrg);
}
double TrueToRelBrg(double oldbearing, double truecse)
{
double newbearing;
/* Shift Bearing of POI by True Course Amount */
newbearing = oldbearing - truecse;
if (newbearing < 0.0) {
newbearing += 360.0;
}
return(newbearing);
}
double RecipCse(double curcse)
{
double recipcse;
recipcse = curcse - 180.0;
if (recipcse < 0.0) {
recipcse += 360.0;
}
return(recipcse);
}
double modcrs(double x)
{
return(Fmod(x, 2.0*PI));
}
// Given two bearing, calculate the bisector angle
double MidCse(double leftbrg, double rightbrg)
{
double diff, angle;
Boolean opposite = false;
if (leftbrg > rightbrg) {
diff = leftbrg - rightbrg;
} else {
diff = rightbrg - leftbrg;
}
if (diff < 180.0) {
diff = 360.0 - diff;
opposite = true;
}
diff = diff/2.0;
if (leftbrg > rightbrg) {
if (opposite) {
angle = nice_brg(rightbrg - diff);
} else {
angle = nice_brg(diff + rightbrg);
}
} else {
if (opposite) {
angle = nice_brg(leftbrg - diff);
} else {
angle = nice_brg(diff + leftbrg);
}
}
return(RecipCse(angle));
}
Boolean PointOutOfBounds (double ul_lat, double ul_lon, double lr_lat,
double lr_lon, double lat, double lon)
{
// if (convP->crosses_pole != (char)0) {
// /*Pole crossing supported - do a concentric check*/
// double cos_c = Sin(convP->latOrigin)* Sin(lat)+
// Cos(convP->latOrigin)* Cos(lat) * Cos(lon - convP->lonOrigin);
// double bounds = Cos(convP->ul_lat - convP->latOrigin)*
// Cos(convP->lr_lon - convP->lonOrigin);
//
// if (cos_c < bounds)
// return true;
// else
// return false;
// }
// else if (lon > convP->lr_lon || lon < convP->ul_lon || lat < convP->lr_lat ||
// lat > convP->ul_lat)
//
if (lon > lr_lon || lon < ul_lon || lat < lr_lat || lat > ul_lat)
return(true);
else
return(false);
}
/*****************************************************************************
* LLToStringDM - for LON, print "DDD:MM.MM(MM) X" where 'X' is E or W.
* for LAT, print "DD:MM.MM(MM) X" where 'X' is N or S.
* Now supports 2-4 decimal places with 3 or 4 being the available
* options for numaddplaces and whether the colon & period are added.
*****************************************************************************/
Char LLToStringDM(double coord, Char *coordStr, Boolean lat, Boolean colon, Boolean period, Int8 numaddplaces)
{
double absCoord;
double fraction;
Int16 degrees;
Int16 minutes;
Int16 decMinutes; // decimal minutes
Char nsew;
double precmult=1.0;
if (!coordStr)
return(' ');
if (numaddplaces == 3) {
precmult = 10.0;
} else if (numaddplaces == 4) {
precmult = 100.0;
}
// break the double down to parts
absCoord = Fabs(coord);
degrees = (Int16)absCoord;
fraction = absCoord - (double)degrees;
minutes = (Int16)(fraction * 60.0);
fraction = (fraction * 60.0 - (double)minutes);
decMinutes = (Int16)(pround((fraction * (Int16)(100.0*precmult)), 0));
// catch decimal minute overflow
if (decMinutes >= (Int16)(100.0*precmult)) {
decMinutes -= (Int16)(100.0*precmult);
minutes++;
}
// catch minute overflow
if (minutes > 59) {
minutes -= 60;
degrees++;
}
// put the digits in the string, padding w/ zeros if necessary
if (lat) {
if (degrees < 10)
StrPrintF(coordStr, "0%d", degrees);
else
StrPrintF(coordStr, "%d", degrees);
if (colon) {
StrCat(coordStr, ":");
coordStr += 3;
} else {
coordStr += 2;
}
} else {
if (degrees < 10)
StrPrintF(coordStr, "00%d:", degrees);
else if (degrees < 100)
StrPrintF(coordStr, "0%d:", degrees);
else
StrPrintF(coordStr, "%d:", degrees);
if (colon) {
StrCat(coordStr, ":");
coordStr += 4;
} else {
coordStr += 3;
}
}
if (minutes < 10)
StrPrintF(coordStr, "0%d", minutes);
else
StrPrintF(coordStr, "%d", minutes);
if (period) {
StrCat(coordStr, ".");
coordStr += 3;
} else {
coordStr += 2;
}
if (lat)
nsew = (coord >= 0.0) ? 'N' : 'S';
else
nsew = (coord >= 0.0 && coord <= 180.0) ? 'E' : 'W';
if (numaddplaces == 3) {
if (decMinutes < 10) {
StrPrintF(coordStr, "00%d%c", decMinutes, nsew);
} else if (decMinutes < 100) {
StrPrintF(coordStr, "0%d%c", decMinutes, nsew);
} else {
StrPrintF(coordStr, "%d%c", decMinutes, nsew);
}
} else if (numaddplaces == 4) {
if (decMinutes < 10) {
StrPrintF(coordStr, "000%d%c", decMinutes, nsew);
} else if (decMinutes < 100) {
StrPrintF(coordStr, "00%d%c", decMinutes, nsew);
} else if (decMinutes < 1000) {
StrPrintF(coordStr, "0%d%c", decMinutes, nsew);
} else {
StrPrintF(coordStr, "%d%c", decMinutes, nsew);
}
} else {
if (decMinutes < 10) {
StrPrintF(coordStr, "0%d%c", decMinutes, nsew);
} else {
StrPrintF(coordStr, "%d%c", decMinutes, nsew);
}
}
return(nsew);
}
/*****************************************************************************
* LLToStringDMS - For LON, print "DDD:MM:SS.SS X" where 'X' is E or W.
* for LAT, print "DD:MM:SS.SS X" where 'X' is N or S.
*****************************************************************************/
Char LLToStringDMS(double coord, Char *coordStr, Boolean lat)
{
double absCoord;
double fraction;
Int16 degrees;
Int16 minutes;
Int16 seconds;
Int16 decSeconds; // decimal seconds
Char nsew;
if (!coordStr)
return(' ');
// break the double down to parts
absCoord = Fabs(coord);
degrees = (Int16)absCoord;
fraction = absCoord - (double)degrees;
minutes = (Int16)(fraction * 60.0);
fraction = (fraction * 60.0 - (double)minutes);
seconds = (Int16)(fraction * 60.0);
fraction = (fraction * 60.0 - (double)seconds);
decSeconds = (Int16)((fraction * 100.0) + .5);
// catch decimal second overflow
if (decSeconds > 99) {
decSeconds -= 100;
seconds++;
}
// catch second overflow
if (seconds > 59) {
seconds -= 60;
minutes++;
}
// catch minute overflow
if (minutes > 59) {
minutes -= 60;
degrees++;
}
// put the digits in the string, padding w/ zeros if necessary
if (lat) {
if (degrees < 10)
StrPrintF(coordStr, "0%d:", degrees);
else
StrPrintF(coordStr, "%d:", degrees);
coordStr += 3;
} else {
if (degrees < 10) {
StrPrintF(coordStr, "00%d:", degrees);
} else if (degrees < 100) {
StrPrintF(coordStr, "0%d:", degrees);
} else {
StrPrintF(coordStr, "%d:", degrees);
}
coordStr += 4;
}
if (minutes < 10) {
StrPrintF(coordStr, "0%d:", minutes);
} else {
StrPrintF(coordStr, "%d:", minutes);
}
coordStr += 3;
if (seconds < 10) {
StrPrintF(coordStr, "0%d.", seconds);
} else {
StrPrintF(coordStr, "%d.", seconds);
}
coordStr += 3;
if (lat) {
nsew = (coord >= 0.0) ? 'N' : 'S';
} else {
nsew = ((coord >= 0.0) && (coord <= 180.0)) ? 'E' : 'W';
}
if (decSeconds < 10) {
StrPrintF(coordStr, "0%d%c", decSeconds, nsew);
} else {
StrPrintF(coordStr, "%d%c", decSeconds, nsew);
}
return(nsew);
}
/*****************************************************************************
* DegMinSecToLatLon - convert decimal degrees, minutes, fractions of minutes,
* seconds and fractions of seconds to a double. 2.7778e-4 is 1/3600
*****************************************************************************/
double DegMinSecToLatLon(Int16 deg, Int16 min, double fracMin,
Int16 sec, double fracSec, Char nsew)
{
double latLon;
latLon = (double)deg + ((double)min / 60.0) + (fracMin / 60.0) + ((double)sec / 3600.0) +
(fracSec * 2.7778e-4);
if (nsew == 'w' || nsew == 'W' || nsew == 's' || nsew == 'S')
return(latLon * -1.0);
else
return(latLon);
}
/*****************************************************************************
* DegMinStringToLatLon - convert degrees, minutes, decimal mins to a double.
* String is of the form DD(D)MM.MMC where C is N, S, E or W
* If a NULL is passed in for nsew, assume the N,S,E or W are in latLonstring
*****************************************************************************/
double DegMinStringToLatLon(Char *latLonstring, Char nsew)
{
double latLondbl;
double latLon;
double deg;
double min;
Int16 i;
Boolean result = true;
if (nsew == NULL) {
// find the N, S, E, or W before we destroy it
for (i = StrLen(latLonstring)-1; i > 0 && latLonstring[i] < 'A'; i--)
; // empty for body
if (i <= 0)
result = false;
else {
nsew = latLonstring[i];
// make sure of a valid nsew character
switch (nsew) {
case 'N':
case 'n':
case 'S':
case 's':
case 'E':
case 'e':
case 'W':
case 'w':
break;
default:
result = false;
break;
}
// drop in a NULL
latLonstring[i] = '\0';
}
}
latLondbl = StrToDbl(latLonstring);
deg = trunc(latLondbl/100.0);
min = Fmod(latLondbl,100.0);
latLon = deg + (min / 60.0);
if (result == false) {
return(INVALID_LAT_LON);
}
if (nsew == 'w' || nsew == 'W' || nsew == 's' || nsew == 'S') {
return (latLon * -1.0);
} else {
return (latLon);
}
}
/*****************************************************************************
* DegMinSecStringToLatLon - convert degrees, minutes, decimal mins to a double.
* String is of the form DD(D)MM.MMC where C is N, S, E or W
*****************************************************************************/
double DegMinSecStringToLatLon(Char *latLonstring, Char nsew)
{
double latLondbl;
double latLon;
double deg;
double min;
double sec;
Char tempchar[2];
tempchar[0] = nsew;
tempchar[1] = '\0';
if (StrStr("NSEWnsew", tempchar) == NULL) return(INVALID_LAT_LON);
latLondbl = StrToDbl(latLonstring);
deg = trunc(latLondbl/10000.0);
latLondbl = latLondbl - (deg*10000.0);
min = trunc(latLondbl/100.0);
sec = Fmod(latLondbl,100.0);
latLon = deg + (min / 60.0) + (sec / 3600.0);
if (Fabs(latLon) > 180.0) return (INVALID_LAT_LON);
if (nsew == 'w' || nsew == 'W' || nsew == 's' || nsew == 'S') {
return (latLon * -1.0);
} else {
return (latLon);
}
}
/*****************************************************************************
* DegMinColonStringToLatLon - parse a lat or lon string in DD:MM(.MMM)C format
* where 'C' is N, S, E, or W. Only does three places of fractions of
* seconds.
*****************************************************************************/
double DegMinColonStringToLatLon(Char *inP)
{
Int32 degrees=0, minutes=0, seconds=0;
double fracSeconds= .0;
double fracMinutes=0.0;
char *startP, *charP=NULL, *coordP;
char nsew=NULL;
Int16 len, i;
Boolean result = true;
// create string for copying
len = StrLen(inP);
if (len < 1 || !AllocMem((void *)&coordP, len))
return INVALID_LAT_LON;
// copy the incoming string
MemMove(coordP, inP, len);
startP = coordP;
// find the N, S, E, or W before we destroy it
for (i = len - 1; i > 0 && coordP[i] < 'A'; i--)
; // empty for body
if (i <= 0)
result = false;
else {
nsew = coordP[i];
// make sure of a valid nsew character
switch (nsew) {
case 'N':
case 'n':
case 'S':
case 's':
case 'E':
case 'e':
case 'W':
case 'w':
break;
default:
result = false;
break;
}
// drop in a NULL
coordP[i] = NULL;
}
// back to the start - find degree
if (result) {
if ((charP = StrChr(startP, ':')) != NULL)
*charP = NULL;
degrees = StrAToI(startP);
}
else
result = false;
// find minutes if last search succeeded
if (result && charP) {
startP = charP + 1;
if ((startP - coordP) < len) {
// may not be any decimal seconds
if ((charP = StrChr(startP, '.')) != NULL)
*charP = NULL;
minutes = StrAToI(startP);
}
else
result = false;
}
// find decimal minutes if last search succeeded
if (result && charP)
result = RightHandToD(charP + 1, &fracMinutes);
// free local string
FreeMem((void *)&coordP);
// convert values to lat/lon
if (result) {
if (degrees > 180 || degrees < 0) {
return INVALID_LAT_LON;
}
if (minutes > 60 || minutes < 0) {
return INVALID_LAT_LON;
}
if (seconds > 60 || seconds < 0) {
return INVALID_LAT_LON;
}
if (fracMinutes >= 1.0) {
return INVALID_LAT_LON;
}
if (fracSeconds >= 1.0) {
return INVALID_LAT_LON;
}
return(DegMinSecToLatLon(degrees, minutes, fracMinutes, seconds, fracSeconds, nsew));
} else {
return(INVALID_LAT_LON);
}
}
/*****************************************************************************
* DegMinSecColonStringToLatLon - parse a lat or lon string in DD:MM:SS(.SSS)C format
* where 'C' is N, S, E, or W. Only does three places of fractions of
* seconds.
*****************************************************************************/
double DegMinSecColonStringToLatLon(Char* inP)
{
Int32 degrees=0, minutes=0, seconds=0;
double fracSeconds=0.0;
double fracMinutes=0.0;
char *startP, *charP=NULL, *coordP;
char nsew=NULL;
Int16 len, i;
Boolean result = true;
Boolean nosecs = false;
// create string for copying
len = StrLen(inP);
if (len < 1 || !AllocMem((void *)&coordP, len))
return INVALID_LAT_LON;
// copy the incoming string
MemMove(coordP, inP, len);
startP = coordP;
// find the N, S, E, or W before we destroy it
for (i = len - 1; i > 0 && coordP[i] < 'A'; i--)
; // empty for body
if (i <= 0) {
result = false;
} else {
nsew = coordP[i];
// make sure of a valid nsew character
switch (nsew) {
case 'N':
case 'n':
case 'S':
case 's':
case 'E':
case 'e':
case 'W':
case 'w':
result = true;
break;
default:
result = false;
break;
}
// drop in a NULL
coordP[i] = NULL;
}
// back to the start - find degree
if (result) {
if ((charP = StrChr(startP, ':')) != NULL)
*charP = NULL;
degrees = StrAToI(startP);
}
else
result = false;
// find minutes if last search succeeded
if (result && charP) {
startP = charP + 1;
if ((startP - coordP) < len && (charP = StrChr(startP, ':')) != NULL) {
*charP = NULL;
minutes = StrAToI(startP);
} else if ((startP - coordP) < len) {
if ((charP = StrChr(startP, ':')) != NULL)
*charP = NULL;
minutes = StrAToI(startP);
if (charP) {
result = RightHandToD(charP + 1, &fracMinutes);
}
nosecs = true;
} else {
result = false;
}
}
// find seconds if last search succeeded & there are seconds
if (!nosecs) {
if (result && charP) {
startP = charP + 1;
if ((startP - coordP) < len && (charP = StrChr(startP, '.')) != NULL)
*charP = NULL;
// may not be any decimal seconds
seconds = StrAToI(startP);
}
// find decimal seconds if last search succeeded
if (result && charP)
result = RightHandToD(charP + 1, &fracSeconds);
}
// free local string
FreeMem((void *)&coordP);
// convert values to lat/lon
if (result) {
if (degrees > 180 || degrees < 0) {
return INVALID_LAT_LON;
}
if (minutes > 60 || minutes < 0) {
return INVALID_LAT_LON;
}
if (seconds > 60 || seconds < 0) {
return INVALID_LAT_LON;
}
if (fracMinutes >= 1.0) {
return INVALID_LAT_LON;
}
if (fracSeconds >= 1.0) {
return INVALID_LAT_LON;
}
return(DegMinSecToLatLon(degrees, minutes, fracMinutes, seconds, fracSeconds, nsew));
} else {
return(INVALID_LAT_LON);
}
}
/*****************************************************************************
* PositToPixelLinearInterp - convert a Position Lat,Lon to a Pixel X,Y via
* Linear Interpolation
*****************************************************************************/
void PositToPixelLinearInterp(LinearInterp *liP, double lat, double lon, Int16 *xP, Int16 *yP)
{
double relLat, relLon, ratioX, ratioY;
if (! liP)
return;
// hope we're not stradling a hemisphere line
// offset of posit from upper left
relLat = liP->ulLat - lat;
relLon = lon - liP->ulLon;
// ratio is rel / delta
ratioX = relLon / liP->deltaLon;
*xP = (Int16)(liP->pixWidth * ratioX);
ratioY = relLat / liP->deltaLat;
*yP = (Int16)(liP->pixHeight * ratioY);
}
/*****************************************************************************
* PixelToPositLinearInterp - x and y must be relative to the raster, NOT
* the screen
*****************************************************************************/
void PixelToPositLinearInterp(LinearInterp *liP, Int32 x, Int32 y, double *latP, double *lonP)
{
double ratioX, ratioY;
// + 0.001 at end fixes rounding problems
ratioX = (double)x / (double)(liP->pixWidth) + 0.001;
ratioY = (double)y / (double)(liP->pixHeight) + 0.001;
*lonP = liP->ulLon + (ratioX * liP->deltaLon);
*latP = liP->ulLat - (ratioY * liP->deltaLat);
}
/*****************************************************************************
* CoordDeltaLinearInterp - get the delta (difference) between two coordinates
*****************************************************************************/
double CoordDeltaLinearInterp(double coord1, double coord2)
{
if (coord1 > 0.0 && coord2 < 0.0)
// coords in different hemispheres
return coord1 - coord2;
else if (coord1 < 0.0 && coord2 > 0.0)
// coords in different hemispheres
return coord2 - coord1;
else if (coord2 > coord1)
// coords in same hemispheres
return coord2 - coord1;
else
// coords in same hemispheres
return coord1 - coord2;
}
/*****************************************************************************
* CoordDeltaModLinearInterp - change coord2 so it is closer to or further
* from coord1 according to the ratio argument.
*****************************************************************************/
double CoordDeltaModLinearInterp(double coord1, double coord2, double ratio)
{
if (coord1 > 0.0 && coord2 < 0.0)
// coords in different hemispheres
return (coord1 - ((coord1 - coord2) * ratio));
else if (coord1 < 0.0 && coord2 > 0.0)
// coords in different hemispheres
return (coord1 + ((coord2 - coord1) * ratio));
else if (coord2 > coord1)
// coords in same hemispheres
return (coord1 + ((coord2 - coord1) * ratio));
else
// coords in same hemispheres
return (coord1 - ((coord1 - coord2) * ratio));
}
/*****************************************************************************
* MidCoordLinearInterp - get the coordinte between two coordinates
*****************************************************************************/
double MidCoordLinearInterp(double coord1, double coord2)
{
double divCoord;
divCoord = CoordDeltaLinearInterp(coord1, coord2) / 2.0;
return(divCoord + ((coord1 < coord2) ? coord1 : coord2));
}
/*****************************************************************************
* RangeBearingToLatLon - get the coordintes at the end of the
* range/bearing line
* THIS IS NOT WORKING CORRECTLY!!!!!!!!!!
* NOW WITH TEMP FIX
*****************************************************************************/
void RangeBearingToLatLon(double fromLat, double fromLon, double rng, double truebrg, double *toLat, double *toLon)
{
/*
double plat = 0.0, plon = 0.0;
double tlat = 0.0, tlon = 0.0;
double radtruebrg;
double radrng;
plat = DegreesToRadians(fromLat);
plon = DegreesToRadians(fromLon);
radtruebrg = DegreesToRadians(nice_brg(truebrg));
radrng = rng/NMPR;
tlat = asin((sin(plat)*cos(radrng)) + (cos(plat)*sin(radrng)*cos(radtruebrg)));
tlon = plon + atan2(sin(radtruebrg)*sin(radrng)*cos(plat), cos(radrng) - (sin(plat)*sin(tlat)));
*toLat = nice_brg(RadiansToDegrees(tlat));
*toLon = nice_brg(RadiansToDegrees(tlon));
*/
/*
// NOT WORKING!
// calculate an endpoint given a startpoint, bearing and distance
// Vincenty 'Direct' formula based on the formula as described at http://www.movable-type.co.uk/scripts/latlong-vincenty-direct.html
// original JavaScript implementation © 2002-2006 Chris Veness
double a = 6378137, b = 6356752.3142, f = 1/298.257223563; // WGS-84 ellipsiod
double lat1 = fromLat;
double lon1 = fromLon;
double s = rng;
double alpha1 = DegreesToRadians(truebrg);
double sinAlpha1 = sin(alpha1);
double cosAlpha1 = cos(alpha1);
double tanU1 = (1 - f) * tan(lat1);
double cosU1 = 1 / sqrt((1 + tanU1 * tanU1));
double sinU1 = tanU1 * cosU1;
double sigma1 = atan2(tanU1, cosAlpha1);
double sinAlpha = cosU1 * sinAlpha1;
double cosSqAlpha = 1 - sinAlpha * sinAlpha;
double uSq = cosSqAlpha * (a * a - b * b) / (b * b);
double A = 1 + uSq / 16384 * (4096 + uSq * (-768 + uSq * (320 - 175 * uSq)));
double B = uSq / 1024 * (256 + uSq * (-128 + uSq * (74 - 47 * uSq)));
double sigma = s / (b * A);
double sigmaP = 2.0 * PI;
double cos2SigmaM = 0.0;
double sinSigma = 0.0;
double cosSigma = 0.0;
double deltaSigma = 0.0;
double tmp;
double lat2;
double lambda;
double C;
double L;
double lon2;
while (abs(sigma - sigmaP) > 1e-12) {
cos2SigmaM = cos(2 * sigma1 + sigma);
sinSigma = sin(sigma);
cosSigma = cos(sigma);
deltaSigma = B * sinSigma * (cos2SigmaM + B / 4 * (cosSigma * (-1 + 2 * cos2SigmaM * cos2SigmaM) - B / 6 * cos2SigmaM * (-3 + 4 * sinSigma * sinSigma) * (-3 + 4 * cos2SigmaM * cos2SigmaM)));
sigmaP = sigma;
sigma = s / (b * A) + deltaSigma;
}
tmp = sinU1 * sinSigma - cosU1 * cosSigma * cosAlpha1;
lat2 = atan2(sinU1 * cosSigma + cosU1 * sinSigma * cosAlpha1, (1 - f) * sqrt(sinAlpha * sinAlpha + tmp * tmp));
lambda = atan2(sinSigma * sinAlpha1, cosU1 * cosSigma - sinU1 * sinSigma * cosAlpha1);
C = f / 16 * cosSqAlpha * (4 + f * (4 - 3 * cosSqAlpha));
L = lambda - (1 - C) * f * sinAlpha * (sigma + C * sinSigma * (cos2SigmaM + C * cosSigma * (-1 + 2 * cos2SigmaM * cos2SigmaM)));
lon2 = lon1 + L;
*toLat = RadiansToDegrees(lat2);
*toLon = RadiansToDegrees(lon2);
HostTraceOutputT(appErrorClass, "New =|%s|", DblToStr(*toLat, 5));
HostTraceOutputTL(appErrorClass, ": |%s|", DblToStr(*toLon, 5));
*/
// current method - bit of a fudge
double plat = 0.0, plon = 0.0;
double tlat = 0.0, tlon = 0.0;
double x_ad;
double y_ad;
double temprng, tempbrg;
if (isnan(fromLat) || isnan(fromLon))
return;
plat = DegreesToRadians(fromLat);
plon = DegreesToRadians(fromLon);
truebrg = nice_brg(truebrg);
x_ad = Fabs(sin(DegreesToRadians(truebrg)) * rng / NMPR) / cos(plat);
y_ad = Fabs(cos(DegreesToRadians(truebrg)) * rng / NMPR);
// temp fix to improve accuracy
LatLonToRangeBearingEll(fromLat, fromLon, RadiansToDegrees(plat + y_ad), RadiansToDegrees(plon + x_ad), &temprng, &tempbrg);
x_ad *= (rng/temprng)*(rng/temprng);
y_ad *= (rng/temprng)*(rng/temprng);
if (truebrg <= 90.0 || truebrg >= 270.0)
tlat = plat + y_ad;
else
tlat = plat - y_ad;
if (truebrg > 0.0 && truebrg < 180.0)
tlon = plon + x_ad;
else
tlon = plon - x_ad;
*toLat = RadiansToDegrees (tlat);
*toLon = RadiansToDegrees (_correct(tlon));
// HostTraceOutputT(appErrorClass, "Old =|%s|", DblToStr(*toLat, 5));
// HostTraceOutputTL(appErrorClass, ": |%s|", DblToStr(*toLon, 5));
// HostTraceOutputTL(appErrorClass, "--------------------");
}
/*****************************************************************************
* RangeBearingToLatLonLinearInterp - get the coordintes at the end of the
* range/bearing line
*****************************************************************************/
void RangeBearingToLatLonLinearInterp(double fromLat, double fromLon, double rng, double brg, double *toLatP, double *toLonP)
{
double plat = 0.0, plon = 0.0;
double tlat = 0.0, tlon = 0.0;
double x_ad;
double y_ad;
if (isnan(fromLat) || isnan(fromLon))
return;
plat = DegreesToRadians(fromLat);
plon = DegreesToRadians(fromLon);
brg = nice_brg(brg);
x_ad = Fabs(Sin(DegreesToRadians(brg)) * rng / NMPR) / data.input.coslat;
y_ad = Fabs(Cos(DegreesToRadians(brg)) * rng / NMPR);
if (brg <= 90.0 || brg >= 270.0)
tlat = plat + y_ad;