How to resolve the algorithm Trabb Pardo–Knuth algorithm step by step in the Julia programming language

Published on 22 June 2024 08:30 PM

How to resolve the algorithm Trabb Pardo–Knuth algorithm step by step in the Julia programming language

Table of Contents

Problem Statement

The TPK algorithm is an early example of a programming chrestomathy. It was used in Donald Knuth and Luis Trabb Pardo's Stanford tech report The Early Development of Programming Languages. The report traces the early history of work in developing computer languages in the 1940s and 1950s, giving several translations of the algorithm. From the wikipedia entry: The task is to implement the algorithm:

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Trabb Pardo–Knuth algorithm step by step in the Julia programming language

Sure, here is a detailed explanation of the provided Julia code:

  1. Function Definition:

    f(x) = abs(x) + 5x^3

    This line defines a function named f(x) that takes a single argument x. Inside the function, it calculates the value of √abs(x) + 5x^3 and returns the result. The operator calculates the square root, abs calculates the absolute value, and x^3 raises x to the power of 3.

  2. Input Reading:

    for i in reverse(split(readline()))

    This line reads a line of input from the user and stores it in the variable i. The readline() function reads a line of text from the standard input, and the split() function divides the input into a list of strings, using whitespace as the delimiter. The reverse() function reverses the order of the elements in the list. So, this line effectively reads a line of input and splits it into a list of strings in reverse order.

  3. Variable Assignment and Function Call:

    v = f(parse(Int, i))

    This line parses the string i as an integer using the parse(Int, i) function and stores the result in the variable v. It then calls the function f() with v as the argument and stores the returned value back in the variable v.

  4. Conditional Printing:

    println("$(i): ", v > 400 ? "TOO LARGE" : v)

    This line prints the value of i followed by a colon. It then checks if the value of v is greater than 400 using the conditional operator ?. If v is greater than 400, it prints the string "TOO LARGE"; otherwise, it prints the value of v.

Overall, the code reads a line of input, parses it into a list of integers, calculates the value of f(x) for each integer, and prints the result along with a message indicating whether the value is greater than 400 or not.

Source code in the julia programming language

f(x) = abs(x) + 5x^3
for i in reverse(split(readline()))
    v = f(parse(Int, i))
    println("$(i): ", v > 400 ? "TOO LARGE" : v)
end


  

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