Multidimensional Map

NPM: https://www.npmjs.com/package/multidimensional-map

Summary

A multidimensional map allows multiple keys to be mapped to a numeric value, called a measure (e.g. "money", "volume"). Each of those keys will be part of a separate dimension (e.g. "age", "month", "gender").

Each map can be subsetted into a new map given a filter (specifying direct matches or a range), and entries with the same key within a dimension can be combined (similar to marginalization in math). The concept of key ordering for ranges is determined by insertion order.

This is primarily a write-once structure meant to manipulate data. This data structure was originally designed to work similarly to an OLAP cube, but more lightweight with a subset of features.

Getting Started

Install

npm install multidimensional-map

Usage

Node

const { MultidimensionalMap } = require('multidimensional-map')

Bundler

import { MultidimensionalMap } from 'multidimensional-map'

Imagine we have data of a morning fruit shop, open from 8am to 11am daily. The shop sells apples, oranges, and bananas. Below we get the data from two days of sales:

const data = [
  { day: '07/20/2020', hour: '8am', item: 'apple', numberSold: 35 },
  { day: '07/20/2020', hour: '8am', item: 'orange', numberSold: 12 },
  { day: '07/20/2020', hour: '8am', item: 'banana', numberSold: 26 },
  { day: '07/20/2020', hour: '9am', item: 'apple', numberSold: 33 },
  { day: '07/20/2020', hour: '9am', item: 'orange', numberSold: 23 },
  { day: '07/20/2020', hour: '9am', item: 'banana', numberSold: 11 },
  { day: '07/20/2020', hour: '10am', item: 'apple', numberSold: 46 },
  { day: '07/20/2020', hour: '10am', item: 'orange', numberSold: 34 },
  { day: '07/20/2020', hour: '10am', item: 'banana', numberSold: 32 },
  { day: '07/20/2020', hour: '11am', item: 'apple', numberSold: 67 },
  { day: '07/20/2020', hour: '11am', item: 'orange', numberSold: 36 },
  { day: '07/20/2020', hour: '11am', item: 'banana', numberSold: 54 },
  { day: '07/21/2020', hour: '8am', item: 'apple', numberSold: 25 },
  { day: '07/21/2020', hour: '8am', item: 'orange', numberSold: 8 },
  { day: '07/21/2020', hour: '8am', item: 'banana', numberSold: 21 },
  { day: '07/21/2020', hour: '9am', item: 'apple', numberSold: 20 },
  { day: '07/21/2020', hour: '9am', item: 'orange', numberSold: 16 },
  { day: '07/21/2020', hour: '9am', item: 'banana', numberSold: 23 },
  { day: '07/21/2020', hour: '10am', item: 'apple', numberSold: 50 },
  { day: '07/21/2020', hour: '10am', item: 'orange', numberSold: 39 },
  { day: '07/21/2020', hour: '10am', item: 'banana', numberSold: 32 },
  { day: '07/21/2020', hour: '11am', item: 'apple', numberSold: 78 },
  { day: '07/21/2020', hour: '11am', item: 'orange', numberSold: 53 },
  { day: '07/21/2020', hour: '11am', item: 'banana', numberSold: 26 },
]

Notice that data is enumerated over all dimensions, where each key is still inputted in a specific order. numberSold is a measure, while day, hour, and item are dimensions.

const dimensions = ['day', 'hour', 'item']
const dataMap = new MultidimensionalMap(dimensions, data)
 
/* Creates a new map with only banana and orange sales from 9am to 11am on 07/21/2020 */
const subset = dataMap.getSubset({
  hour: { range: ['9am', '11am'] },
  item: { matches: ['banana', 'orange'] },
  day: '07/21/2020',
})
 
/* Gets total number sold within subset */
const combined = subset.combineEntries('numberSold')
/* Combines the entries from the subset over the "item" dimension */
const combinedOverItem = subset.combineEntries('numberSold', 'item')
const combinedOverHour = subset.combineEntries('numberSold', 'hour')
/* When multiple dimensions are given, the order determines the nesting of the output object */
const combinedOverBoth = subset.combineEntries('numberSold', ['item', 'hour'])
const combinedOverBoth2 = subset.combineEntries('numberSold', ['hour', 'item'])
 

/* subset.getAllEntries() */
[
  { day: '07/21/2020', hour: '9am', item: 'orange', numberSold: 16 },
  { day: '07/21/2020', hour: '9am', item: 'banana', numberSold: 23 },
  { day: '07/21/2020', hour: '10am', item: 'orange', numberSold: 39 },
  { day: '07/21/2020', hour: '10am', item: 'banana', numberSold: 32 },
  { day: '07/21/2020', hour: '11am', item: 'orange', numberSold: 53 },
  { day: '07/21/2020', hour: '11am', item: 'banana', numberSold: 26 }
],
 
/* combined */
{ numberSold: 189 }
 
/* combinedOverItem */
{
  orange: { numberSold: 108, item: 'orange' },
  banana: { numberSold: 81, item: 'banana' },
}
 
/* combinedOverHour */
{
  '9am': { numberSold: 39, hour: '9am' },
  '10am': { numberSold: 71, hour: '10am' },
  '11am': { numberSold: 79, hour: '11am' }
}
 
/* combinedOverBoth */
{
  orange: {
    '9am': { numberSold: 16, item: 'orange', hour: '9am' },
    '10am': { numberSold: 39, item: 'orange', hour: '10am' },
    '11am': { numberSold: 53, item: 'orange', hour: '11am' }
  },
  banana: {
    '9am': { numberSold: 23, item: 'banana', hour: '9am' },
    '10am': { numberSold: 32, item: 'banana', hour: '10am' },
    '11am': { numberSold: 26, item: 'banana', hour: '11am' }
  }
}
 
/* combinedOverBoth2 */
{
  '9am': {
    orange: { numberSold: 16, hour: '9am', item: 'orange' },
    banana: { numberSold: 23, hour: '9am', item: 'banana' }
  },
  '10am': {
    orange: { numberSold: 39, hour: '10am', item: 'orange' },
    banana: { numberSold: 32, hour: '10am', item: 'banana' }
  },
  '11am': {
    orange: { numberSold: 53, hour: '11am', item: 'orange' },
    banana: { numberSold: 26, hour: '11am', item: 'banana' }
  }
}

API

new MultidimensionalMap(dimensions: string[], entries?: EntryType[], order?: Order)

Creates a map with certain dimensions (entries may have more keys than needed). The entries parameter works the same as using addEntries. Order allows an optional override for the ordering (usually determined by insertion order), which takes dimension names as keys and arrays as values.

addEntries(entries: EntryType[]): void

Adds an array of entries to the map. The dimensions of the entries should be the same as those specified in the constructor.

getAllEntries(): EntryType[]

Returns all entries in the map in insertion order.

getSubset(query: Query, options?: SubsetOptions): MultidimensionalMap

Creates a subset of the current entries using specified constraints. See Usage for examples.

• query[dimension]: (string | number) or object

  If passed a string or number key, it will try to find direct matches to key within the dimension. If given an object, either a range or matches can be specified, but not both.

  • query[dimension].range? : [start: (string | number), end: (string | number)]

    Gives all entries within the range (start, end), inclusive. Ordering is determined by insertion order, but range won't always make sense of some dimensions (e.g. itemType).

  • query[dimension].matches? : (string | number)[]

    Allows for multiple direct match queries. Specifying just one item is equivalent to setting query[dimension] as that item.

• options.keepOrder : string[] | boolean

  Given true, the subset will have the same order as the original map for all dimensions, even if the subset have no entries under certain items in a dimension.

  To specify only certain dimensions to preserve ordering, pass a string array with dimension names.

getSubsetArray(query: Query): EntryType[]

Similar to getSubset, but gives array back directly instead of inserting it into a new map (for less overhead).

combineEntries(measure: string | string[], dimensions?: string | string[], entries?: EntryT[])

• measure: name of the key (or keys) to sum over.
• dimensions?: dimension name or names that determine how the measures are summed. Entries with the same key within those dimensions are combined into a single entry. The order the fields also specifies the nesting of the output object. If fields is empty or not given, it will sum up the measure over all entries.
• entries?: special override for which entries the function is run on, making it work similarly to a static function

length: number

Getter for number of entries in the map