MATLAB PROGRAMMING Your task is to implement a function which detects if two n-d

Question

MATLAB PROGRAMMING Your task is to implement a function which detects if two n-dimensional rectangles have a non-empty intersection. This question is very similar to the interval intersect problem. Create a function with signature function z = collide(a1, a2, b2, b2). All inputs are vectors of the same length n for some n > 0. Rectangle A has lower-left corner a1 and upper-right corner a2. Rectangle B has lower-left corner b1 and upper-right corner b2. The z output is 0 when the intersection is empty, otherwise it is 1. Examples
It may help you to sketch these and some other on paper. 1D examples: >> a1 = 1; a2 = 5; b1 = 6; b2 = 20; collide(a1, a2, b1, b2)
ans =
0
>> a1 = 1; a2 = 5; b1 = 2; b2 = 20; collide(a1, a2, b1, b2)
ans =
1 Hints
If you're stuck then try implementing the functions as if all of the arguments were scalars. The follow functions may be useful. >> help min >> help max >> help all >> help any MATLAB PROGRAMMING Your task is to implement a function which detects if two n-dimensional rectangles have a non-empty intersection. This question is very similar to the interval intersect problem. Create a function with signature function z = collide(a1, a2, b2, b2). All inputs are vectors of the same length n for some n > 0. Rectangle A has lower-left corner a1 and upper-right corner a2. Rectangle B has lower-left corner b1 and upper-right corner b2. The z output is 0 when the intersection is empty, otherwise it is 1. Examples
It may help you to sketch these and some other on paper. 1D examples: >> a1 = 1; a2 = 5; b1 = 6; b2 = 20; collide(a1, a2, b1, b2)
ans =
0
>> a1 = 1; a2 = 5; b1 = 2; b2 = 20; collide(a1, a2, b1, b2)
ans =
1 Hints
If you're stuck then try implementing the functions as if all of the arguments were scalars. The follow functions may be useful. >> help min >> help max >> help all >> help any MATLAB PROGRAMMING Your task is to implement a function which detects if two n-dimensional rectangles have a non-empty intersection. This question is very similar to the interval intersect problem. Create a function with signature function z = collide(a1, a2, b2, b2). All inputs are vectors of the same length n for some n > 0. Rectangle A has lower-left corner a1 and upper-right corner a2. Rectangle B has lower-left corner b1 and upper-right corner b2. The z output is 0 when the intersection is empty, otherwise it is 1. Examples
It may help you to sketch these and some other on paper. 1D examples: >> a1 = 1; a2 = 5; b1 = 6; b2 = 20; collide(a1, a2, b1, b2)
ans =
0
>> a1 = 1; a2 = 5; b1 = 2; b2 = 20; collide(a1, a2, b1, b2)
ans =
1 Hints
If you're stuck then try implementing the functions as if all of the arguments were scalars. The follow functions may be useful. >> help min >> help max >> help all >> help any

Explanation / Answer

Code:

function z = collide(a1,a2,b1,b2)
   % find maximum of left corner
   max1 = max(a1,b1);
   % find minimum of right corner
   min1 = min(a2,b2);
   if max1 < min1
       z=1
   else
       z=0
   end
end
  

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