How to resolve the algorithm FizzBuzz step by step in the APL programming language
Published on 12 May 2024 09:40 PM
How to resolve the algorithm FizzBuzz step by step in the APL programming language
Table of Contents
Problem Statement
Write a program that prints the integers from 1 to 100 (inclusive).
But:
The FizzBuzz problem was presented as the lowest level of comprehension required to illustrate adequacy.
Let's start with the solution:
Step by Step solution about How to resolve the algorithm FizzBuzz step by step in the APL programming language
Source code in the apl programming language
⎕IO←0
(L,'Fizz' 'Buzz' 'FizzBuzz')[¯1+(L×W=0)+W←(100×~0=W)+W←⊃+/1 2×0=3 5|⊂L←1+⍳100]
A[I]←1+I←(0⍷A)/⍳⍴A←('FIZZBUZZ' 'FIZZ’ 'BUZZ' 0)[2⊥¨×(⊂3 5)|¨1+⍳100]
{ ⍵ 'Fizz' 'Buzz' 'FizzBuzz'[ +/1 2×0=3 5|⍵] }¨1+⍳100
{(‘FizzBuzz’ ‘Fizz’ ‘Buzz’,⍵)[(0=15 3 5|⍵)⍳1]}¨⍳100
∇ sv ← fizzbuzz n; t;d
[1] ⍝⍝ Solve the popular 'fizzbuzz' problem in APL.
[2] ⍝⍝ \param n - highest number to compute (≥0)
[3] ⍝⍝ \returns sv - a vector of strings representing the fizzbuzz solution for ⍳n
[4] ⍝⍝ (note we return a string vector to avoid a mixed-type result; remove the
[5] ⍝⍝ ⍕ function from the (⍕t[⍵]) term to see the difference).
[6] ⍝⍝⍝⍝
[7] t←⍳n ⍝ the sequence 1..n itself which we'll pick from
[8] ⍝ ... or the words 'fizz', 'buzz', 'fizzbuzz' depending on
[9] ⍝ ... divisibility by 3 and/or 5
[10] ⍝⎕←t ⍝ (Uncomment to see during call)
[11]
[12] d←1+(+⌿ ⊃ {((0=3|⍵)) (2×(0=5|⍵))} ⍳n)
[13] ⍝ || || | | | ↓↓
[14] ⍝ || || | | | ⍳n: generate range (1..n)
[15] ⍝ || || | ↓.....................↓ ↓↓
[16] ⍝ || || | A dfn (lambda) taking its right arg (⍵, ⍳n here) to compute two boolean
[17] ⍝ || || | vectors(v12): divisibility by 3 and 5, respectively, for each of ⍳n
[18] ⍝ || || ↓
[19] ⍝ || || ⊃: Disclose ('lift-up' and pad w/zeros) the 'ragged' matrix of vectors (v12)
[20] ⍝ || || holding divisibility by 3 and 5 of each ⍳n
[21] ⍝ || ↓↓
[22] ⍝ || +⌿: Sum (v12) row-wise to count divisibility (0=neither 3 nor 5, 1=3, 2=3 and 5)
[23] ⍝ ↓↓
[24] ⍝ 1+: Add one to (v12) to make them 1-based for indexing below:
[25] ⍝⎕←d
[26]
[27] sv ← { ((⍕t[⍵]) 'Fizz' 'Buzz' 'FizzBuzz') [d[⍵]]}¨ ⍳n
[28] ⍝ | | | | | |
[29] ⍝ | | | ↓....↓ |
[30] ⍝ | |................................↓ idx |
[31] ⍝ | ( lookup output vector ) |
[32] ⍝ ↓...........................................↓
[33] ⍝ A dfn (lambda) taking as its right arg (⍵) ⍳n and using the 'each' (¨)
[34] ⍝ operator to apply the lambda to each (idx) of ⍳n.
[35]
[36] ⍝⍝ USAGE
[37] ⍝⍝ ⎕ ← ,fizzbuzz 15
[38] ⍝ 1 2 Fizz 4 Buzz Fizz 7 8 Fizz Buzz 11 Fizz 13 14 FizzBuzz
∇
You may also check:How to resolve the algorithm Repeat a string step by step in the Transact-SQL programming language
You may also check:How to resolve the algorithm Run-length encoding step by step in the Raku programming language
You may also check:How to resolve the algorithm Anagrams/Deranged anagrams step by step in the Run BASIC programming language
You may also check:How to resolve the algorithm Hello world/Standard error step by step in the Genie programming language
You may also check:How to resolve the algorithm Monte Carlo methods step by step in the Phix programming language