mathjs/test/function/statistics/mean.test.js

var assert = require('assert')
var math = require('../../../src/index')
var BigNumber = math.type.BigNumber
var Complex = math.type.Complex
var DenseMatrix = math.type.DenseMatrix
var Unit = math.type.Unit
var mean = math.mean

describe('mean', function () {
  it('should return the mean value of some numbers', function () {
    assert.equal(mean(5), 5)
    assert.equal(mean(3, 1), 2)
    assert.equal(mean(0, 3), 1.5)
    assert.equal(mean(1, 3, 5, 2, -5), 1.2)
    assert.equal(mean(0, 0, 0, 0), 0)
  })

  it('should return the mean of big numbers', function () {
    assert.deepEqual(mean(new BigNumber(1), new BigNumber(3), new BigNumber(5), new BigNumber(2), new BigNumber(-5)),
      new math.type.BigNumber(1.2))
  })

  it('should return the mean value for complex values', function () {
    assert.deepEqual(mean(new Complex(2, 3), new Complex(2, 1)), new Complex(2, 2))
    assert.deepEqual(mean(new Complex(2, 3), new Complex(2, 5)), new Complex(2, 4))
  })

  it('should return the mean value for mixed real and complex values', function () {
    assert.deepEqual(mean(new Complex(2, 4), 4), new Complex(3, 2))
    assert.deepEqual(mean(4, new Complex(2, 4)), new Complex(3, 2))
  })

  it('should return the mean value from an array', function () {
    assert.equal(mean([5]), 5)
    assert.equal(mean([1, 3, 5, 2, -5]), 1.2)
  })

  it('should return the mean value from a 1d matrix', function () {
    assert.equal(mean(new DenseMatrix([5])), 5)
    assert.equal(mean(new DenseMatrix([1, 3, 5, 2, -5])), 1.2)
  })

  it('should return the mean for each vector on the last dimension', function () {
    assert.deepEqual(mean([
      [2, 4],
      [6, 8]
    ]), 5)
    assert.deepEqual(mean(new DenseMatrix([
      [2, 4],
      [6, 8]
    ])), 5)
  })

  var inputMatrix = [ // this is a 4x3x2 matrix, full test coverage
    [ [10, 20], [30, 40], [50, 60] ],
    [ [70, 80], [90, 100], [110, 120] ],
    [ [130, 140], [150, 160], [170, 180] ],
    [ [190, 200], [210, 220], [230, 240] ]
  ]

  it('should return the mean value along a dimension on a matrix', function () {
    assert.deepEqual(mean([
      [2, 6],
      [4, 10]], 1), [4, 7])
    assert.deepEqual(mean([
      [2, 6],
      [4, 10]], 0), [3, 8])
    assert.deepEqual(mean(inputMatrix, 0),
      [[100, 110], [120, 130], [140, 150]])
    assert.deepEqual(mean(inputMatrix, 1),
      [[30, 40], [90, 100], [150, 160], [210, 220]])
    assert.deepEqual(mean(inputMatrix, 2),
      [[15, 35, 55], [75, 95, 115], [135, 155, 175], [195, 215, 235]])
  })

  it('should throw an error if called with invalid number of arguments', function () {
    assert.throws(function () { mean() })
    assert.throws(function () { mean([], 2, 3) })
  })

  it('should throw an error when called multiple arrays or matrices', function () {
    assert.throws(function () { mean([1, 2], [3, 4]) }, /Scalar values expected/)
    assert.throws(function () { mean(math.matrix([1, 2]), math.matrix([3, 4])) }, /Scalar values expected/)
  })

  it('should throw an error if called a dimension out of range', function () {
    assert.throws(function () { mean([1, 2, 3], -1) }, /IndexError: Index out of range \(-1 < 0\)/)
    assert.throws(function () { mean([1, 2, 3], 1) }, /IndexError: Index out of range \(1 > 0\)/)
  })

  it('should throw an error if called with an empty array', function () {
    assert.throws(function () { mean([]) })
  })

  it('should throw an error if called with invalid type of arguments', function () {
    assert.throws(function () { mean([[2, undefined, 4]]) }, /TypeError: Cannot calculate mean, unexpected type of argument/)
    assert.throws(function () { mean([[2, new Date(), 4]]) }, /TypeError: Cannot calculate mean, unexpected type of argument/)
    assert.throws(function () { mean([2, null, 4]) }, /TypeError: Cannot calculate mean, unexpected type of argument/)
    assert.throws(function () { mean([[2, 5], [4, null], [1, 7]], 0) }, /TypeError: Cannot calculate mean, unexpected type of argument/)
  })

  it('should LaTeX mean', function () {
    var expression = math.parse('mean(1,2,3,4)')
    assert.equal(expression.toTex(), '\\mathrm{mean}\\left(1,2,3,4\\right)')
  })
})