How to resolve the algorithm Zig-zag matrix step by step in the Joy programming language
Published on 12 May 2024 09:40 PM
How to resolve the algorithm Zig-zag matrix step by step in the Joy programming language
Table of Contents
Problem Statement
Produce a zig-zag array.
A zig-zag array is a square arrangement of the first N2 natural numbers, where the
numbers increase sequentially as you zig-zag along the array's anti-diagonals.
For a graphical representation, see JPG zigzag (JPG uses such arrays to encode images).
For example, given 5, produce this array:
Let's start with the solution:
Step by Step solution about How to resolve the algorithm Zig-zag matrix step by step in the Joy programming language
Source code in the joy programming language
(*
From the library.
*)
DEFINE reverse == [] swap shunt;
shunt == [swons] step.
(*
Split according to the parameter given.
*)
DEFINE take-drop == [dup] swap dup [[] cons [take swap] concat concat] dip []
cons concat [drop] concat.
(*
Take the first of a list of lists.
*)
DEFINE take-first == [] cons 3 [dup] times [dup] swap concat [take [first] map
swap dup] concat swap concat [drop swap] concat swap
concat [take [rest] step []] concat swap concat [[cons]
times swap concat 1 drop] concat.
DEFINE zigzag ==
(*
Use take-drop to generate a list of lists.
*)
4 [dup] times 1 swap from-to-list swap pred 1 swap from-to-list reverse concat
swap dup * pred 0 swap from-to-list swap [take-drop i] step [pop list] [cons]
while
(*
The odd numbers must be modified with reverse.
*)
[dup size 2 div popd [1 =] [pop reverse] [pop] ifte] map
(*
Take the first of the first of n lists.
*)
swap dup take-first [i] cons times pop
(*
Merge the n separate lists.
*)
[] [pop list] [cons] while
(*
And print them.
*)
swap dup * pred 'd 1 1 format size succ [] cons 'd swons [1 format putchars]
concat [step '\n putch] cons step.
11 zigzag.
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