How to resolve the algorithm Parametric polymorphism step by step in the Nim programming language
Published on 12 May 2024 09:40 PM
How to resolve the algorithm Parametric polymorphism step by step in the Nim programming language
Table of Contents
Problem Statement
Parametric Polymorphism is a way to define types or functions that are generic over other types. The genericity can be expressed by using type variables for the parameter type, and by a mechanism to explicitly or implicitly replace the type variables with concrete types when necessary.
Write a small example for a type declaration that is parametric over another type, together with a short bit of code (and its type signature) that uses it.
A good example is a container type, let's say a binary tree, together with some function that traverses the tree, say, a map-function that operates on every element of the tree. This language feature only applies to statically-typed languages.
Let's start with the solution:
Step by Step solution about How to resolve the algorithm Parametric polymorphism step by step in the Nim programming language
Source code in the nim programming language
import strutils, sugar
type Tree[T] = ref object
value: T
left, right: Tree[T]
proc newTree[T](value = default(T)): Tree[T] =
## Create a tree with a single node with the given value.
Tree[T](value: value)
proc map[T, U](tree: Tree[T]; f: (T) -> U): Tree[U] =
## Apply function "f" to each element of a tree, building
## another tree.
result = newTree[U](f(tree.value))
if not tree.left.isNil:
result.left = tree.left.map(f)
if not tree.right.isNil:
result.right = tree.right.map(f)
proc print(tree: Tree; indent = 0) =
## Print a tree.
let start = repeat(' ', indent)
echo start, "value: ", tree.value
if tree.left.isNil:
echo start, " nil"
else:
print(tree.left, indent + 2)
if tree.right.isNil:
echo start, " nil"
else:
print(tree.right, indent + 2)
when isMainModule:
echo "Initial tree:"
var tree = newTree[int](5)
tree.left = newTree[int](2)
tree.right = newTree[int](7)
print(tree)
echo ""
echo "Tree created by applying a function to each node:"
let tree1 = tree.map((x) => 1 / x)
print(tree1)
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