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    diophantine

    1.1.0 • Public • Published

    diophantine

    Solve linear Diophantine equations
    ax + by = c

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    npm: npm i diophantinenpmjs.com/diophantine
    Documentation: kevduc.github.io/diophantine
    GitHub: kevduc/diophantine

    Example

    example.js

    const { dioSolve, SolutionType } = require('diophantine')
    
    const a = 59
    const b = -7
    const c = 4
    
    console.log(`Solving: ${a}x + ${b}y = ${c}`)
    
    const { solutionType, g, z, m, p } = dioSolve(a, b, c)
    
    switch (solutionType) {
      case SolutionType.None: {
        console.log(`No solution (gcd = ${g} ∤ c = ${c})`)
        break
      }
      case SolutionType.Unique: {
        console.log(`Unique solution: ${z[0] !== null ? `x = ${z[0]}` : `y = ${z[1]}`}`)
        break
      }
      case SolutionType.Linear: {
        console.log(`   gcd = ${g}`)
        console.log(`   x0 = ${z[0]}, y0 = ${z[1]}`)
        console.log(`   ${a} × ${z[0]} + ${b} × ${z[1]} = ${z[0] * a + z[1] * b}`)
        console.log(`Solutions: x = ${m[0]}n + ${p[0]}, y = ${m[1]}n + ${p[1]}`)
        break
      }
      default: {
        console.log(`Solution: ${solutionType}`)
        break
      }
    }

    Console output

    Solving: 59x + -7y = 4
      gcd = 1
      x0 = -8, y0 = -68
      59 × -8 + -7 × -68 = 4
    Solutions: x = 7n + 6, y = 59n + 50
    

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    Install

    npm i diophantine

    DownloadsWeekly Downloads

    8

    Version

    1.1.0

    License

    ISC

    Unpacked Size

    9.72 kB

    Total Files

    4

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