Question

Problem 1: Write a function in Matlab that fit randomly chosen circular disk of various radius with centers at random locations within in a box of dimensions: length = L and height = H. • Disk radius are integers randomly choosen from {1, 2, 3, ..., max_rad} where max_rad is a user-defined parameter. • Disk centers are randomly located at integer coordinates within the box. • None of the disk should overlap. • All disk should be contained within the boundary of the box. • You can assign different colors to disks with different radius when plotting the results. • Your function should try to fit as many disks as possible within the domain: L × H. • The best code will be able to fit the most # of disks. • Your function should plot the disks and should return the data, i.e. radius and centers, of the plotted disks. • You can used matlab function randi () to generate random numbers. e.g. xc = randi (L) will gave a random integer between 1 and L; e.g. yc = randi (H) will gave a random integer between 1 and H; e.g. rad = randi (max_rad) will gave a random integer between 1 and max_rad; • Try to make your function as robust as possible. Test various cases! function [radius, centers] = fit_disks (L,H,max_rad,max_num) % Inputs % L -> Length of box % H -> Height of box % max_rad -> maximum radius of disk % max_num -> maximum number of disk to be fitted % Note: Your function might not be able to fit the max_num specified. The goal is to fit as many disk as possible. You need to build some reasonable logic to accomplish this task. % You can add more inputs/outputs if necessary end

          Problem 1: Write a function in Matlab that fit randomly chosen circular disk of various
radius with centers at random locations within in a box of dimensions: length = L and
height = H.
• Disk radius are integers randomly choosen from {1, 2, 3, ..., max_rad} where
max_rad is a user-defined parameter.
• Disk centers are randomly located at integer coordinates within the box.
• None of the disk should overlap.
• All disk should be contained within the boundary of the box.
• You can assign different colors to disks with different radius when plotting the
results.
• Your function should try to fit as many disks as possible within the domain: L × H.
• The best code will be able to fit the most # of disks.
• Your function should plot the disks and should return the data, i.e. radius and centers,
of the plotted disks.
• You can used matlab function randi () to generate random numbers.
 e.g. xc = randi (L) will gave a random integer between 1 and L;
 e.g. yc = randi (H) will gave a random integer between 1 and H;
 e.g. rad = randi (max_rad) will gave a random integer between 1
and max_rad;
• Try to make your function as robust as possible. Test various cases!
function [radius, centers] = fit_disks (L,H,max_rad,max_num)
% Inputs
% L -> Length of box
% H -> Height of box
% max_rad -> maximum radius of disk
% max_num -> maximum number of disk to be fitted
% Note: Your function might not be able to fit the max_num specified.
The goal is to fit as many disk as possible. You need to build some
reasonable logic to accomplish this task.
% You can add more inputs/outputs if necessary
end

Problem 1: Write a function in Matlab that fit randomly chosen circular disk of various
radius with centers at random locations within in a box of dimensions: length = L and
height = H.
• Disk radius are integers randomly choosen from 1, 2, 3, ..., maxrad where
maxrad is a user-defined parameter.
• Disk centers are randomly located at integer coordinates within the box.
• None of the disk should overlap.
• All disk should be contained within the boundary of the box.
• You can assign different colors to disks with different radius when plotting the
results.
• Your function should try to fit as many disks as possible within the domain: L × H.
• The best code will be able to fit the most # of disks.
• Your function should plot the disks and should return the data, i.e. radius and centers,
of the plotted disks.
• You can used matlab function randi () to generate random numbers.
e.g. xc = randi (L) will gave a random integer between 1 and L;
e.g. yc = randi (H) will gave a random integer between 1 and H;
e.g. rad = randi (maxrad) will gave a random integer between 1
and maxrad;
• Try to make your function as robust as possible. Test various cases!
function [radius, centers] = fitdisks (L,H,maxrad,maxnum)
% Inputs
% L -> Length of box
% H -> Height of box
% maxrad -> maximum radius of disk
% maxnum -> maximum number of disk to be fitted
% Note: Your function might not be able to fit the maxnum specified.
The goal is to fit as many disk as possible. You need to build some
reasonable logic to accomplish this task.
% You can add more inputs/outputs if necessary
end

Added by Matthew M.

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