Computer Organization and Design MIPS Edition, Fifth Edition: The Hardware/Software Interface (The Morgan Kaufmann Series in Computer Architecture and Design)
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Chapter 2, Problem 2.32E
Program Plan Intro

Given C code:

The “fib” function is used check the “n” value, if the “n” is 0 it will return false. If the “n” is 1, it will return true. Otherwise the function returns the “fib (n-1) + fib (n-2)”.

MIPS instructions:

  • Initially the “fib” loop creates a stack then pushes the values into the stack.
  • Check if the value of “n” is greater than 1, and then go to the “check” loop.
  • Otherwise set “fib (0) = 0”.
  • Finally the “fib” loop jump to the “return” loop.
  • In “check” loop add the “$0” and “1” and store the result in the “$t0” register.
  • Check if the “n” value is greater than 1, if the condition is true goes to the “loop” loop.
  • Otherwise set “fib (1) = 1”.
  • Finally the “check” loop jump to the “return” loop.
  • In “loop” loop subtract the “n” and “1”.
  • Call the loop “fib” with an argument “n-1”.
  • Copy the value to the “fib(n-1)”.
  • Subtract the “n” and “2”.
  • Again call the loop “fib” with an argument “n-2”.
  • Finally the “loop” add “fib (n-1)” and “fib (n-2)” values.
  • In “return” loop pop every elements from the stack.
  • Restore the value.
  • Return the caller value.

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