用经度和纬度计算多边形的面积 [英] Calculate the area of a polygon with latitude and longitude

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问题描述

我有这样的代码,用这样写的: source1 和这个:来源2 a>

  public static double CalculatePolygonArea(IList< GpsLocation>坐标)
{
double area = 0 ;

if(coordinates.Count> 2)
{
for(var i = 0; i< coordinates.Count-1; i ++)
{
GpsLocation p1,p2;
p1 = coordinates [i];
p2 =坐标[i + 1];
area + = ToRad(p2.Longitude - p1.Longitude)*(2 + Math.Sin(ToRad(p1.Latitude))
+ Math.Sin(ToRad(p2.Latitude)));

面积=面积* R * R / 2;
}
}

return Math.Abs​​(area);
}

以下是我的测试代码:

  [Fact] 
public void GpsPolygonAreaTest()
{
var poly = new List< GpsLocation>();
var p1 = new GpsLocation(0,0);
poly.Add(p1);
var p2 = GpsHelper.CreateLocationBasedOnBearingDistance(p1,5,100);
poly.Add(p2);
var p3 = GpsHelper.CreateLocationBasedOnBearingDistance(p2,95,100);
poly.Add(p3);
var p4 = GpsHelper.CreateLocationBasedOnBearingDistance(p3,185,100);
poly.Add(p4);
poly.Add(p1);

var area = GpsHelper.CalculatePolygonArea(poly);

area.Should()。Be(10000);
}

我确认我的多边形是100米x 100米,请参阅图片:


任何想法我的代码有什么问题?

  area = area * R * R / 2; 

应放置在顶点循环之后,而不是在每次迭代中重复。


I have this code, written using this: source1 and this: source 2

public static double CalculatePolygonArea(IList<GpsLocation> coordinates)
    {
        double area = 0;

        if (coordinates.Count > 2)
        {
            for (var i = 0; i < coordinates.Count-1; i++)
            {
                GpsLocation p1, p2;
                p1 = coordinates[i];
                p2 = coordinates[i + 1];
                area += ToRad(p2.Longitude - p1.Longitude) * (2 + Math.Sin(ToRad(p1.Latitude))
                   + Math.Sin(ToRad(p2.Latitude)));

                area = area * R * R / 2;
            }
        }

        return Math.Abs(area);
    }

Here is my test code:

[Fact]
    public void GpsPolygonAreaTest()
    {
        var poly = new List<GpsLocation>();
        var p1 = new GpsLocation(0, 0);
        poly.Add(p1);
        var p2 = GpsHelper.CreateLocationBasedOnBearingDistance(p1, 5, 100);
        poly.Add(p2);
        var p3 = GpsHelper.CreateLocationBasedOnBearingDistance(p2, 95, 100);
        poly.Add(p3);
        var p4 = GpsHelper.CreateLocationBasedOnBearingDistance(p3, 185, 100);
        poly.Add(p4);
        poly.Add(p1);

        var area = GpsHelper.CalculatePolygonArea(poly);

        area.Should().Be(10000);
    }

I confirmed that my polygon is 100m x 100m, see image:

My test result is: Expected value to be 10000, but found 1.28153883377486E+48.

Any ideas what wrong with my code?

解决方案

I'm pretty sure this statement:

area = area * R * R / 2;

should be placed after the loop over the vertices, rather than repeated on each iteration.

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