Calculating the distance between 2 points

Question

I have two points  x1 y1  and  x2 y2   I want to know whether the points are within 5 meters of one another

User · Answer

You can use the below formula to find the distance between the 2 points   distance distance     x2 - x1   x2 - x1       y2 - y1   y2 - y1

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the algorithm     x1 - x2    2    y1 - y2    2   lt  25

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Given points  X1 Y1  and  X2 Y2  then     dX   X1 - X2  dY   Y1 - Y2   if  dX dX   dY dY  gt   5 5           your code

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Something like this in c  would probably do the job   Just make sure you are passing consistent units  If one point is in meters  make sure the second is also in meters   private static double GetDistance double x1  double y1  double x2  double y2       return Math Sqrt Math Pow  x2 - x1   2    Math Pow  y2 - y1   2        Called like so   double distance   GetDistance x1  y1  x2  y2  if distance  lt   5         Do stuff

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measure the square distance from one point to the other     x1-x2   x1-x2   y1-y2   y1-y2    lt  d d   where d is the distance   x1 y1  are the coordinates of the  base point  and  x2 y2  the coordinates of the point you want to check   or if you prefer     Math Pow x1-x2 2  Math Pow y1-y2 2    lt   d d     Noticed that the preferred one does not call Pow at all for speed reasons  and the second one  probably slower  as well does not call Math Sqrt  always for performance reasons  Maybe such optimization are premature in your case  but they are useful if that code has to be executed a lot of times   Of course you are talking in meters and I supposed point coordinates are expressed in meters too

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Here is my 2 cents   double dX   x1 - x2  double dY   y1 - y2  double multi   dX   dX   dY   dY  double rad   Math Round Math Sqrt multi   3  MidpointRounding AwayFromZero     x1  y1 is the first coordinate and x2  y2 the second  The last line is the square root with it rounded to 3 decimal places

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If you are using System Windows Point data type to represent a point  you can use     assuming p1 and p2 data types Point p1  p2     distanc can be calculated as follows double distance   Point Subtract p2  p1  Length      Update 2017-01-08    Add reference to Microsoft documentation Result of Point Subtract is System Windows Vector and it has also property LengthSquared to save one sqrt calculation if you just need to compare distance  Adding reference to WindowsBase assembly may be needed in your project You can also use operators   Example with LengthSquared and operators     assuming p1 and p2 data types Point p1  p2     distanc can be calculated as follows double distanceSquared    p2 - p1  LengthSquared

[c#] Calculating the distance between 2 points

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