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Oct 23, 2016 8:45 AM
Last Post By: christopher yoa...

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Posts:
31
Registered:
3/2/07


Hello group. I have the following function that "should" return a MapCoordinate (latitude and longitude) based on input from a MapCoordinate origin and give distance and azimuth.
It seems the longitude values I'm getting are correct, but the latitude values are not.
Anyone have a clue on what's wrong... or have a better way?
Kind Regards,
Bryan
Type
MapCoordinate = Record
Latitude, Longitude : Double;
end;
function LocationFromMapPoint(inMapCoordinate : MapCoordinate; direction, distance : Double): MapCoordinate;
var
arcdistance, arcazimuth, arclat, r1, r2, tlat, tlong, azimuthlat, azimuthlong: double;
s1, s2: String;
begin
arcdistance := ((distance / 60) * pi / 180);
arcazimuth := (direction * pi / 180);
arclat := (inMapCoordinate.Latitude * pi / 180);
r1 := sin(arclat) * cos(arcdistance);
r2 := cos(arclat) * sin(arcdistance) * cos(arcazimuth);
tlat := arcsin(r1 + r2);
azimuthlat := tlat;
tlong := arctan(sin(arcdistance) *
sin(arcazimuth) / (cos(arclat) * cos(arcdistance) 
sin(arclat) * sin(arcdistance) * cos(arcazimuth)));
azimuthlong := inMapCoordinate.Longitude + ((tlong / pi * 180));
Result.Latitude := azimuthlat;
Result.Longitude := azimuthlong;
end;



Posts:
349
Registered:
8/2/02


Bryan Ray wrote:
Hello group. I have the following function that "should" return a MapCoordinate (latitude and longitude) based on input from a MapCoordinate origin and give distance and azimuth.
It seems the longitude values I'm getting are correct, but the latitude values are not.
Anyone have a clue on what's wrong... or have a better way?
Kind Regards,
Bryan
Type
MapCoordinate = Record
Latitude, Longitude : Double;
end;
function LocationFromMapPoint(inMapCoordinate : MapCoordinate; direction, distance : Double): MapCoordinate;
var
arcdistance, arcazimuth, arclat, r1, r2, tlat, tlong, azimuthlat, azimuthlong: double;
s1, s2: String;
begin
arcdistance := ((distance / 60) * pi / 180);
arcazimuth := (direction * pi / 180);
arclat := (inMapCoordinate.Latitude * pi / 180);
r1 := sin(arclat) * cos(arcdistance);
r2 := cos(arclat) * sin(arcdistance) * cos(arcazimuth);
tlat := arcsin(r1 + r2);
azimuthlat := tlat; <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
tlong := arctan(sin(arcdistance) *
sin(arcazimuth) / (cos(arclat) * cos(arcdistance) 
sin(arclat) * sin(arcdistance) * cos(arcazimuth)));
azimuthlong := inMapCoordinate.Longitude + ((tlong / pi * 180));
Result.Latitude := azimuthlat;
Result.Longitude := azimuthlong;
end;
You haven't added the aimuthlat value I marked to the InMapCoordinate.Latitude.

Tredmill




Posts:
31
Registered:
3/2/07


Bryan Ray wrote:
Hello group. I have the following function that "should" return a MapCoordinate (latitude and longitude) based on input from a MapCoordinate origin and give distance and azimuth.
It seems the longitude values I'm getting are correct, but the latitude values are not.
Anyone have a clue on what's wrong... or have a better way?
Kind Regards,
Bryan
Type
MapCoordinate = Record
Latitude, Longitude : Double;
end;
function LocationFromMapPoint(inMapCoordinate : MapCoordinate; direction, distance : Double): MapCoordinate;
var
arcdistance, arcazimuth, arclat, r1, r2, tlat, tlong, azimuthlat, azimuthlong: double;
s1, s2: String;
begin
arcdistance := ((distance / 60) * pi / 180);
arcazimuth := (direction * pi / 180);
arclat := (inMapCoordinate.Latitude * pi / 180);
r1 := sin(arclat) * cos(arcdistance);
r2 := cos(arclat) * sin(arcdistance) * cos(arcazimuth);
tlat := arcsin(r1 + r2);
azimuthlat := tlat; <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
tlong := arctan(sin(arcdistance) *
sin(arcazimuth) / (cos(arclat) * cos(arcdistance) 
sin(arclat) * sin(arcdistance) * cos(arcazimuth)));
azimuthlong := inMapCoordinate.Longitude + ((tlong / pi * 180));
Result.Latitude := azimuthlat;
Result.Longitude := azimuthlong;
end;
You haven't added the aimuthlat value I marked to the InMapCoordinate.Latitude.

Tredmill
Hello Tredmill,
I have added azimuthlat := InCoordinates.Latitude + azimuthlat;
where you indicated, but I still do not get correct values.
For example if I input the following:
InLat = 30
InLon = 100
Distance = 120
Direction = 180
I would expect the resulting Lat value to be < 30, but it is 30.48869
Regards,
Bryan




Posts:
349
Registered:
8/2/02


Bryan Ray wrote:
Bryan Ray wrote:
Hello group. I have the following function that "should" return a MapCoordinate (latitude and longitude) based on input from a MapCoordinate origin and give distance and azimuth.
It seems the longitude values I'm getting are correct, but the latitude values are not.
Anyone have a clue on what's wrong... or have a better way?
Kind Regards,
Bryan
Type
MapCoordinate = Record
Latitude, Longitude : Double;
end;
function LocationFromMapPoint(inMapCoordinate : MapCoordinate; direction, distance : Double): MapCoordinate;
var
arcdistance, arcazimuth, arclat, r1, r2, tlat, tlong, azimuthlat, azimuthlong: double;
s1, s2: String;
begin
arcdistance := ((distance / 60) * pi / 180);
arcazimuth := (direction * pi / 180);
arclat := (inMapCoordinate.Latitude * pi / 180);
r1 := sin(arclat) * cos(arcdistance);
r2 := cos(arclat) * sin(arcdistance) * cos(arcazimuth);
tlat := arcsin(r1 + r2);
azimuthlat := tlat; <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
tlong := arctan(sin(arcdistance) *
sin(arcazimuth) / (cos(arclat) * cos(arcdistance) 
sin(arclat) * sin(arcdistance) * cos(arcazimuth)));
azimuthlong := inMapCoordinate.Longitude + ((tlong / pi * 180));
Result.Latitude := azimuthlat;
Result.Longitude := azimuthlong;
end;
You haven't added the aimuthlat value I marked to the InMapCoordinate.Latitude.

Tredmill
Hello Tredmill,
I have added azimuthlat := InCoordinates.Latitude + azimuthlat;
where you indicated, but I still do not get correct values.
For example if I input the following:
InLat = 30
InLon = 100
Distance = 120
Direction = 180
I would expect the resulting Lat value to be < 30, but it is 30.48869
Regards,
Bryan
You wrote the code originally and understand it completely, right?
What I was suggesting without trying to complete your code for you was that you need to combine azimuthlat and InCoordinate.Latitude in a similar way that you combined azimuthlong and ImMapCoordinate.Longitude.
I don't have any of your code except what you posted here. If the parallel between latitude and longitude is exact. you would write
azimuthlat := inMapCoordinate.Latitude + (tlat / pi * 180);
I should also note that you're using plane trigonometry for a spherical problem, so if Distance is large, there will be errors.
BTW, your code would be a lot easier to read if you defined a constant like R2D = pi * 180; instead of doing all the typing.
Also, the Math unit has lots of stuff that you may find helpful.

don't Tred on me




Posts:
31
Registered:
3/2/07


Bryan Ray wrote:
Bryan Ray wrote:
Hello group. I have the following function that "should" return a MapCoordinate (latitude and longitude) based on input from a MapCoordinate origin and give distance and azimuth.
It seems the longitude values I'm getting are correct, but the latitude values are not.
Anyone have a clue on what's wrong... or have a better way?
Kind Regards,
Bryan
Type
MapCoordinate = Record
Latitude, Longitude : Double;
end;
function LocationFromMapPoint(inMapCoordinate : MapCoordinate; direction, distance : Double): MapCoordinate;
var
arcdistance, arcazimuth, arclat, r1, r2, tlat, tlong, azimuthlat, azimuthlong: double;
s1, s2: String;
begin
arcdistance := ((distance / 60) * pi / 180);
arcazimuth := (direction * pi / 180);
arclat := (inMapCoordinate.Latitude * pi / 180);
r1 := sin(arclat) * cos(arcdistance);
r2 := cos(arclat) * sin(arcdistance) * cos(arcazimuth);
tlat := arcsin(r1 + r2);
azimuthlat := tlat; <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
tlong := arctan(sin(arcdistance) *
sin(arcazimuth) / (cos(arclat) * cos(arcdistance) 
sin(arclat) * sin(arcdistance) * cos(arcazimuth)));
azimuthlong := inMapCoordinate.Longitude + ((tlong / pi * 180));
Result.Latitude := azimuthlat;
Result.Longitude := azimuthlong;
end;
You haven't added the aimuthlat value I marked to the InMapCoordinate.Latitude.

Tredmill
Hello Tredmill,
I have added azimuthlat := InCoordinates.Latitude + azimuthlat;
where you indicated, but I still do not get correct values.
For example if I input the following:
InLat = 30
InLon = 100
Distance = 120
Direction = 180
I would expect the resulting Lat value to be < 30, but it is 30.48869
Regards,
Bryan
You wrote the code originally and understand it completely, right?
What I was suggesting without trying to complete your code for you was that you need to combine azimuthlat and InCoordinate.Latitude in a similar way that you combined azimuthlong and ImMapCoordinate.Longitude.
I don't have any of your code except what you posted here. If the parallel between latitude and longitude is exact. you would write
azimuthlat := inMapCoordinate.Latitude + (tlat / pi * 180);
I should also note that you're using plane trigonometry for a spherical problem, so if Distance is large, there will be errors.
BTW, your code would be a lot easier to read if you defined a constant like R2D = pi * 180; instead of doing all the typing.
Also, the Math unit has lots of stuff that you may find helpful.

don't Tred on me
Hello John,
This was not my original code, I found it on the internet, but obviously it didn't work. I've found this website and created my own.
http://www.movabletype.co.uk/scripts/latlong.html
It appears to be working correctly now.
Thanks for the tips.
Regards,
Bryan
function DistantPoint(inCoordinates: TTMSFMXNativeMKMapLocation; Dir, Dist : Double): TTMSFMXNativeMKMapLocation;
Const
R = 6371; //radius of earth in KM
var
RadialDir, RadialDist, RadialLat, RadialLon : Double;
begin
RadialDir := DegToRad(Dir); //Convert to Radians
RadialDist := (Dist/R); //Dist / Earth's Radius
RadialLat := DegToRad(InCoordinates.Latitude);
RadialLon := DegtoRad(InCoordinates.Longitude);
Result.Latitude := ArcSin( Sin(RadialLat) * Cos(RadialDist) +
Cos(RadialLat) * Sin(RadialDist) * Cos(RadialDir) );
Result.Longitude := RadialLon + ArcTan2( Sin(RadialDir) *
Sin(RadialDist) * Cos(RadialLat) , Cos(RadialDist)  Sin(RadialLat) *
Sin(Result.Latitude) );
Result.Latitude := RadToDeg(Result.Latitude);
Result.Longitude := RadToDeg(Result.Longitude);
end;




Posts:
349
Registered:
8/2/02


Much tidier, Bryan!

John




Posts:
2,412
Registered:
12/1/99


John,
 Much tidier, Bryan!
And MUCH MORE correct!!! <g>

Q
07/07/2014 10:47:20
1.19.1.372 [Q'sBrokenToolBar] [Running on TQ]




Posts:
349
Registered:
8/2/02


Quentin Correll wrote:
John,
Much tidier, Bryan!
And MUCH MORE correct!!! <g>
That, too. I had to delete a lot of discussion in my two reples to Bryan.

nhoJ




Posts:
1
Registered:
11/23/16


When i gone though this code i have noticed some mistakes. But i have no idea how you were done this? How you giving the inputs? As per my opinion you should start your coding again. Then you will get where you have done mistake. I this this will help you to learn the codes again. As a service provider in Laundry service in Noida i can help you with your works at home. There are lots of people struggling to manage their time. I can help them to manage it.




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