How to resolve the algorithm Function composition step by step in the Common Lisp programming language

Published on 12 May 2024 09:40 PM
#Common lisp

How to resolve the algorithm Function composition step by step in the Common Lisp programming language

Table of Contents

Problem Statement

Create a function, compose,   whose two arguments   f   and   g,   are both functions with one argument.

The result of compose is to be a function of one argument, (lets call the argument   x),   which works like applying function   f   to the result of applying function   g   to   x.

Reference: Function composition Hint: In some languages, implementing compose correctly requires creating a closure.

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Function composition step by step in the Common Lisp programming language

Source code in the common programming language

(defun compose (f g) (lambda (x) (funcall f (funcall g x))))


>(defun compose (f g) (lambda (x) (funcall f (funcall g x))))
COMPOSE
>(let ((sin-asin (compose #'sin #'asin)))
   (funcall sin-asin 0.5))
0.5


(defun compose (f g)
  (eval `(lambda (x) (funcall ',f (funcall ',g x)))))


CL-USER> (defmacro compose (fn-name &rest args)
	   (labels ((rec1 (args)
		      (if (= (length args) 1)
			  `(funcall ,@args x)
			  `(funcall ,(first args) ,(rec1 (rest args))))))
	     `(defun ,fn-name (x) ,(rec1 args))))

You may also check:How to resolve the algorithm Read a configuration file step by step in the Phixmonti programming language
You may also check:How to resolve the algorithm Boolean values step by step in the Go programming language
You may also check:How to resolve the algorithm Sorting algorithms/Merge sort step by step in the FreeBASIC programming language
You may also check:How to resolve the algorithm Minimum positive multiple in base 10 using only 0 and 1 step by step in the jq programming language
You may also check:How to resolve the algorithm Isqrt (integer square root) of X step by step in the Scheme programming language