Question

In: Computer Science

Write a LISP function POWER that takes a list containing exactly two numeric atoms and computes...

Write a LISP function POWER that takes a list containing exactly two numeric atoms and computes the first atom raised to the power of the second atom. For example:

(POWER ‘(2 4)

Returns the value 16

Solutions

Expert Solution

In this problem, a list containing exactly two numeric atoms is passed as an argument and the return value is the first atom raised to the power of the second atom.

Following is the recursive method to solve this problem. Suppose we are given a list (m n) and we need need to calculate mn . First, check if n is equal to zero or not. If yes, return 1. Else, do the same process for mn-1 and return m*mn-1. Following is the LISP program for this:

;POWER function to calculate base to the power exponent
;takes a list (m n) as an argument
(defun POWER(list-num)
  
(setq m (nth 0 list-num)) ; m stores the first element of the list
(setq n (nth 1 list-num)) ; n stores the second element of the list
(setq z (- n 1)) ; z stores the value of n-1


(if (= n 0) 1 ; if n is zero, return 1
(* m (POWER (list m z))))) ; else recursive call with argument (m n-1) and multiply with m


(write(POWER '(2 4))) ; call the POWER function

And following is the output when the list is (2 4):

venereology answered 2 hours ago
Next > < Previous

Related Solutions

Write LISP functions GEFILTER and LFILTER. GEFILTER takes a numeric atom and a list of numbers...
Write LISP functions GEFILTER and LFILTER. GEFILTER takes a numeric atom and a list of numbers and returns a list consisting all numbers in the list which are greater than or equal to the given number. LFILTER takes a numeric atom and a list of numbers and returns a list consisting of all numbers in the list less than the given number. For example: (GEFILTER 4 ‘(3 5 8 2 4 1 9)) Returns the list (5 8 4 9)...
Write a LISP function COUNTX which takes an atom and a list and returns the number...
Write a LISP function COUNTX which takes an atom and a list and returns the number of top-level occurrences of the atom in the list. For example: (COUNTX ‘A ‘(A (A B) B A B A (B A)) Returns the value 3, the other two A’s are not at the top level
Write a C function str_to_float() that takes a numeric string as input and converts it to...
Write a C function str_to_float() that takes a numeric string as input and converts it to a floating point number. The function should return the floating point number by reference. If the conversion is successful, the function should return 0, and -1 otherwise (e.g. the string does not contain a valid number). The prototype of the function is given below int str_to_float(char * str, float * number);
Write a function matrix power(A, n) that computes the power An using Boolean arithmetic and returns...
Write a function matrix power(A, n) that computes the power An using Boolean arithmetic and returns the result. You may assume that A is a 2D list containing only 0s and 1s, A is square (same number of rows and columns), and n is an integer ≥ 1. You should call your previously written matrix multiply boolean function. Example: Let R = [ [0, 0, 0, 1], [0, 1, 1, 0], [0, 0, 0, 1], [0, 0, 1, 0] ]...
Write a function that takes a numeric or integer vector and adds up only the numbers...
Write a function that takes a numeric or integer vector and adds up only the numbers whose integer parts are even. Modify your answer to question above to include an option that allows you to choose whether to sum numbers whose integer parts are even or are odd. Your function should have as a default that it gives the same output as the function in question 4. In other words, if the user doesn’t specify whether to sum evens or...
Write a function in lisp XIT that counts the number of items in each sub-list of...
Write a function in lisp XIT that counts the number of items in each sub-list of a list and returns the count in a list. It should only work if there are two levels of brackets in the parameter (simple lists inside the parent list). Thus:             (XIT '((A B C)))        -> (3)             (XIT '((A) (A B) (A B C))) -> (1 2 3)             (XIT '((1 2)))              -> (2)             (XIT '(1 (2 3)))...
Write a Python function that takes two parameters: the first a list of strings and the...
Write a Python function that takes two parameters: the first a list of strings and the second a single string. The function should return True or False depending on whether the string is in the list or not. For example, if the list contains eggs, milk, bananas, and the second parameter is pumpkin, the function should return False. Thank you.
Write a Python function that takes two parameters: the first a list of strings and the...
Write a Python function that takes two parameters: the first a list of strings and the second a single string. The function should return True or False depending on whether the string is in the list or not. For example, if the list contains eggs, milk, bananas, and the second parameter is pumpkin, the function should return False. Thank you.
Using Matlab, write a function that takes numeric data as its input argument and prints a...
Using Matlab, write a function that takes numeric data as its input argument and prints a message to the Command Window stating if the number is positive, or negative, or 0. This function should transfer an output value to the Workspace ONLY when the input value is negative. Please include a copiable code and the associated screenshots.
*LISP PROGRAM* 2. Write a function that, given a list of lists, returns the total length...
*LISP PROGRAM* 2. Write a function that, given a list of lists, returns the total length of all the lists. This problem can be solved two different ways. 3. Write a program that prompts the user to enter two numbers and then outputs the sum of the two numbers. 4.Write ALLODDP, a recursive function that returns T if all the numbers in a list are odd.
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT