How to resolve the algorithm Catamorphism step by step in the Scheme programming language

Published on 12 May 2024 09:40 PM
#Scheme

How to resolve the algorithm Catamorphism step by step in the Scheme programming language

Table of Contents

Problem Statement

Reduce is a function or method that is used to take the values in an array or a list and apply a function to successive members of the list to produce (or reduce them to), a single value.

Show how reduce (or foldl or foldr etc), work (or would be implemented) in your language.

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Catamorphism step by step in the Scheme programming language

Source code in the scheme programming language

(define (reduce fn init lst)
  (do ((val init (fn (car rem) val)) ; accumulated value passed as second argument
       (rem lst (cdr rem)))
    ((null? rem) val)))

(display (reduce + 0 '(1 2 3 4 5))) (newline) ; => 15
(display (reduce expt 2 '(3 4))) (newline)    ; => 262144

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