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How quickly we forget - basic trig. Calculate the area of a polygon

For a program I want to calculate the area of a given polygon. It may have every form, the sides even may cross. Do you can give me pointers to a way to calculate areas for such polygons?

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    How is the polygon given? If its boundary is not a simply closed curve you will have to specify what is meant by "area".2011-09-22
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    It is given as a closed linestring, but the lines can cross.2011-09-22
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    it would be worth looking at this question: http://math.stackexchange.com/questions/15739/does-divergence-theorem-polyhedron-volume-calculation-applicable-for-a-cut-throug/2011-09-22
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    See the Wikipedia entry on this topic: [Polygon area](http://en.wikipedia.org/wiki/Polygon#Area_and_centroid)2011-09-22

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