Quick Start

The algebra object contains three properties:

• version: The version number of the algebra.js library.
• Decimal: A class used to generate integers and decimals, which includes various operations and methods for them.
• Fraction: A class used to generate fractions, which includes various operations and methods for fractions.

TIP

For convenience and code consistency, all sample codes hereafter will use the ES Module format.

Decimal

Decimal is a constructor used to generate integers and decimals. It accepts one parameter and returns a Decimal instance object:

import algebra from '@mop233/algebra'
const { Decimal } = algebra

const d1 = new Decimal(9)
d1.valueOf() // 9

const d2 = new Decimal(3.14)
d2.toString() // '3.14'

The Decimal instance object can perform addition, subtraction, multiplication, division, and various other operations:

import algebra from '@mop233/algebra'
const { Decimal } = algebra

const d1 = new Decimal(9)
const d2 = new Decimal(3)

// Addition
d1.add(d2).valueOf() // 12
// Subtraction
d1.sub(d2).valueOf() // 6
// Multiplication
d1.mul(d2).valueOf() // 27
// Division
d1.div(d2).valueOf() // 3

// Absolute value
d1.abs().valueOf() // 9
// Negation
d2.neg().valueOf() // -3
// Modulus
d1.mod(d2).valueOf() // 0

// Equals
d1.eq(d2) // false
// Greater than
d1.gt(d2) // true
// Less than
d1.lt(d2) // false

Fraction

Fraction is a constructor used to generate fractions. It accepts two parameters and returns a Fraction instance object:

import algebra from '@mop233/algebra'
const { Fraction } = algebra

const f = new Fraction(1, 2)
f.valueOf() // 0.5
f.toString() // '1/2'
f.toTex() // '\frac{1}{2}'

The Fraction instance object can perform addition, subtraction, multiplication, division, and various other operations:

import algebra from '@mop233/algebra'
const { Fraction } = algebra

const f1 = new Fraction(1, 2)
const f2 = new Fraction(1, 3)

// Addition
f1.add(f2).toString() // '5/6'
// Subtraction
f1.sub(f2).toString() // '1/6'
// Multiplication
f1.mul(f2).toString() // '1/6'
// Division
f1.div(f2).toString() // '3/2'

// Absolute value
f1.abs().toString() // '1/2'
// Negation
f1.neg().toString() // '-1/2'
// Reciprocal
f1.rec().toString() // '2'

// Equals
f1.eq(f2) // false
// Greater than
f1.gt(f2) // true
// Less than
f1.lt(f2) // false