How to resolve the algorithm Trabb Pardo–Knuth algorithm step by step in the Julia programming language
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:
-
Function Definition:
f(x) = √abs(x) + 5x^3
This line defines a function named
f(x)
that takes a single argumentx
. 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, andx^3
raisesx
to the power of 3. -
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
. Thereadline()
function reads a line of text from the standard input, and thesplit()
function divides the input into a list of strings, using whitespace as the delimiter. Thereverse()
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. -
Variable Assignment and Function Call:
v = f(parse(Int, i))
This line parses the string
i
as an integer using theparse(Int, i)
function and stores the result in the variablev
. It then calls the functionf()
withv
as the argument and stores the returned value back in the variablev
. -
Conditional Printing:
println("$(i): ", v > 400 ? "TOO LARGE" : v)
This line prints the value of
i
followed by a colon. It then checks if the value ofv
is greater than 400 using the conditional operator?
. Ifv
is greater than 400, it prints the string"TOO LARGE"
; otherwise, it prints the value ofv
.
Overall, the code reads a line of input, parses it into a list of integers, calculates the value of f(x)
for each integer, and prints the result along with a message indicating whether the value is greater than 400 or not.
Source code in the julia programming language
f(x) = √abs(x) + 5x^3
for i in reverse(split(readline()))
v = f(parse(Int, i))
println("$(i): ", v > 400 ? "TOO LARGE" : v)
end
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