mojishiki

About

This is a Kotlin code that allows you to calculate literal-expression.

Mojishiki means literal-expression in Japanese

Features

• 100% rational calculation
• Pure Kotlin
• Multiplatform

Installation

Grade

//gradle kotlin DSL
implementation("io.github.arashiyama11:mojishiki:2.0.0")

//gradle groovy DSL
implementation 'io.github.arashiyama11:mojishiki:2.0.0'

Maven

<dependency>
    <groupId>io.github.arashiyama11</groupId>
    <artifactId>mojishiki</artifactId>
    <version>2.0.0</version>
</dependency>

Example usage

1. Basic arithmetic operations

Polynomial("1+5*2-8/2").evaluate() //7
Polynomial("2x-y+3x+y").evaluate() //5x
(Polynomial("2x+y+1") + Polynomial("2y-3")).evaluate() //2x+3y-2

2. Expansion and factorization

Polynomial("(x+y)(x+2)").evaluate() //x^2+2x+xy+2y
Polynomial("6x^2+7x+2").factorization() //(2x+1)(3x+2)

3. Functions and Complex number

Polynomial("sin(1)")
  .approximation()
  .toStringWith(decimal = true) //0.8414709851576089
Polynomial("sqrt(-25)").approximation()  //5i
Polynomial("3i*2i").evaluate() //-6.0
Polynomial("sqrt(-2)sqrt(-2)").evaluate() //-2.0

Supporting functions are

• sin cos tan
• log
• sqrt abs
• min max

4. Substitute

Polynomial("pr^2")
  .substitute(mapOf('p' to Rational(3.14), 'r' to Rational(3)))
// 1413/50 

5. Solve as equation

NOTE:Unfactorable equations of degree 3 or higher cannot be solved

Polynomial("2x-4").solve() //[2]
Polynomial("x^2+5x+4").solve() //[-1, -4]

6. Basic differentiation and integration

Polynomial("3x^2+5x+1").differential() //6x+5
Polynomial("3sin(3cos(4x))").differential() //-36cos(3cos(4x))sin(4x)
Polynomial("sin(x)+cos(y)").integral(Letter('y')) //ysin(x)+sin(y)+C
Polynomial("8x^3+4x").integral(from = Rational(0), to = Rational(3)) //180

Licence

MIT