Take the program Limits.java from Chapter 10 that uses a for loop to determine machine precision…

Take the program Limits.java from Chapter 10 that uses a for loop to determine machine precision and make a copy of it.

a. Compile and run Limits.java as a check that it is still running, and to get some output to compare with.

b. Modify the for loop so that the counter is a double-precision variable. You should get all the same results.

c. Change the for loop to a while loop that accomplishes the same task.

d. Change the for loop to a do loop that accomplishes the same task.

e. Include an if-then construct in the for loop so that the program prints only one line of output, and it is for the first time that 1.0 + eps = 1.0.

f. Include an if-then-else construct in the for loop so that the program prints the message “not there yet” if 1.0 + eps != 1.0, and then the usual onePlusEps and eps the first time that 1.0 + eps = 1.0.

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