Calculate the minimum distance between two arbitrary shapes

Question

I have two arbitrary forms. Now I want to calculate the minimum distance between two shapes. Here I attach the image

First of all, the part is completed. These shapes are a combination of an arc and a line. Now I am faced with a problem when I am going to calculate the minimum distance between these figures. Draw these shapes using the GWT (java) html5 canvas.

To calculate the minimum distance between two forms, I used below code in java, but I don't get an optimized way to do this -

private double calculateMinimumDistance(Coordinate[] coordinates_1, Coordinate[] coordinates_2) { 
    double minDistance = 100000;
    double currentDistance = 0;

    for(int i = 0; i < coordinates_1.length; ++i) {
      for(int j = 0; j < coordinates_2.length; ++j) {
        currentDistance = coordinates_1[i].distanceTo(coordinates_2[j]);
        if(currentDistance < minDistance) {
          minDistance = currentDistance;
        }  
      } 
    }

    return minDistance;
}

codes_1 contains a set of form-1 points.
Coordinates_2 contain a set of points of the form-2.

Is there an optimized way to calculate the distance between two shapes? This shape can be any, where and any type of figures.

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Answer 1

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Answer 2

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Answer 3

For each point of the circuit A and circuit B, use the distance formula to calculate the hypotenuse: hypot = sqrt (xA-xB) ^ 2 + (yA-yB) ^ 2) ... I solve the same problem for a set of N circuits, so I will share my code when done.