Fr Class

The Fr class represents a fraction and provides various methods for performing arithmetic operations, conversions, and manipulations with fractions. Simpler than fraction.js as it contains no logic for radians or advanced parsing of strings.

Table of Contents

• Installation
• Usage
• API
  • Constructor
  • Instance Properties
  • Static Methods
• Examples

Installation

To use the Fr class in your project, you can include it directly or install it via npm if you package it.

npm install fraction-simple

Then, import the class in your JavaScript file:

const { Fr } = require('fraction-simple');

Usage

Create an instance of the Fr class by passing the numerator and denominator as arguments. If no arguments are provided, the default fraction is 0/1.

const fraction = new Fr(3, 4);  // Represents the fraction 3/4

API

Constructor

new Fr(numerator = 0, denominator = 1)

• numerator (number): The numerator of the fraction. Defaults to 0. Stored as "n" internally
• denominator (number): The denominator of the fraction. Defaults to 1. Stored as "d" internally

Instance Properties

• numerator (number): Returns the numerator.
• denominator (number): returns the denominator.
• asFloat (number): Returns the fraction as a floating-point number.
• asInt (number): Returns the integer part of the fraction (floor).
• asIntCeil (number): Returns the integer part of the fraction (ceil).
• toString (string): Returns the fraction as a string in the form "n/d".
• toStringImproper (string): Returns the reduced fraction as a string.
• toStringProper (string): Returns the fraction as a proper string.

Static Methods

• Fr.inv(fr) (Fr): Returns the inverse of the fraction.
• Fr.neg(fr) (Fr): Returns the negation of the fraction.
• Fr.cross(fr1, fr2) (number): Returns the cross multiplication of two fractions.
• Fr.add(fr1, fr2) (Fr): Adds two fractions and returns the result.
• Fr.sub(fr1, fr2) (Fr): Subtracts the first fraction from the second and returns the result.
• Fr.mul(fr1, fr2) (Fr): Multiplies two fractions and returns the result.
• Fr.div(fr1, fr2) (Fr): Divides the first fraction by the second and returns the result.
• Fr.gcd(a, b) (number): Returns the greatest common divisor of two numbers.
• Fr.red(fr) (Fr): Returns the reduced form of the fraction.
• Fr.uOne(fr) (Fr): Returns the portion of the fraction that is under one.
• Fr.fromString(str) (Fr): Creates a fraction from a string representation.

Examples

Creating a Fraction

const f1 = new Fr(3, 4);  // 3/4
console.log(f1.toString);  // "3/4"

Arithmetic Operations

const f1 = new Fr(1, 2);
const f2 = new Fr(1, 3);

const sum = Fr.add(f1, f2);
console.log(sum.toString);  // "5/6"

const diff = Fr.sub(f1, f2);
console.log(diff.toString);  // "1/6"

const product = Fr.mul(f1, f2);
console.log(product.toString);  // "1/6"

const quotient = Fr.div(f1, f2);
console.log(quotient.toString);  // "3/2"

Conversions and Properties

const f = new Fr(5, 2);

console.log(f.asFloat);  // 2.5
console.log(f.asInt);  // 2
console.log(f.asIntCeil);  // 3
console.log(f.toStringProper);  // "2 1/2"
console.log(f.toStringImproper);  // "5/2"

Static Methods

const f1 = new Fr(3, 4);

const inverse = Fr.inv(f1);
console.log(inverse.toString);  // "4/3"

const negated = Fr.neg(f1);
console.log(negated.toString);  // "-3/4"

const reduced = Fr.red(new Fr(6, 8));
console.log(reduced.toString);  // "3/4"

const fractionFromString = Fr.fromString("1.25");
console.log(fractionFromString.toString);  // "5/4"

This class provides a comprehensive set of tools for working with fractions, including arithmetic operations, conversions, and string representations.