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structurae

Data structures for performance-sensitive modern JavaScript applications.

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Structurae

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A collection of data structures for performance-sensitive modern JavaScript applications that includes:

  • Grid - extends built-in indexed collections to handle 2 dimensional data (e.g. nested arrays).
  • PackedInt - stores and operates on data in Numbers and BigInts treating them as bitfields.
  • SortedArray - extends built-in Array to efficiently handle sorted data.

Installation

npm i structurae 

Usage

Import structures as needed:

import { Grid, PackedInt, SortedArray } from 'structurae';

// or
const { Grid, PackedInt, SortedArray } = require('structurae');

Grid

Grid extends a provided indexed collection class (Array or TypedArrays) to efficiently handle 2 dimensional data without creating nested arrays. Grid "unrolls" nested arrays into a single array and pads its "columns" to the nearest power of 2 in order to employ quick lookups with bitwise operations.

const ArrayGrid = Grid(Array);

// create a grid of 5 rows and 4 columns filled with 0
const grid = new ArrayGrid({rows: 5, columns: 4 });
grid.length
//=> 20
grid[0]
//=> 0

// send data as the second parameter to instantiate a grid with data:
const  dataGrid = new ArrayGrid({rows: 5, columns: 4 }, [1, 2, 3, 4, 5, 6, 7, 8]);
grid.length
//=> 20
grid[0]
//=> 0

// you can change dimensions of the grid by setting columns number at any time:
dataGrid.columns = 2;

You can get and set elements using their row and column indexes:

grid
//=> ArrayGrid [1, 2, 3, 4, 5, 6, 7, 8]
grid.get(0, 1);
//=> 2
grid.set(0, 1, 10);
grid.get(0, 1);
//=> 10

// use `getCoordinates` method to find out row and column indexes of a given element by its array index:
grid.getCoordinates(0);
//=> [0, 0]
grid.getCoordinates(1);
//=> [0, 1]

A grid can be turned to and from an array of nested arrays using respectively Grid#fromArrays and Grid#toArrays methods:

const grid = ArrayGrid.fromArrays([[1,2], [3, 4]]);
//=> ArrayGrid [ 1, 2, 3, 4 ]
grid.get(1, 1);
//=> 4

// if arrays are not the same size or their size is not equal to a power two, Grid will pad them with 0 by default
// the value for padding can be specified as the second argument
const grid = ArrayGrid.fromArrays([[1, 2], [3, 4, 5]]);
//=> ArrayGrid [ 1, 2, 0, 0, 3, 4, 5, 0 ]
grid.get(1, 1);
//=> 4

grid.toArrays();
//=> [ [1, 2], [3, 4, 5] ]

// you can choose to keep the padding values
grid.toArrays(true);
//=> [ [1, 2, 0, 0], [3, 4, 5, 0] ]

PackedInt

PackedInt uses JavaScript Numbers and BigInts as bitfields to store and operate on data using bitwise operations. By default, PackedInt operates on 31 bit long bitfield where bits are indexed from least significant to most:

const bitfield = new PackedInt(29); // 29 === 0b11101
bitfield.get(0);
//=> 1
bitfield.get(1);
//=> 0
bitfield.has(2, 3, 4);
//=> true

You can extend PackedInt and use your own schema by specifying field names and their respective sizes in bits:

class Person extends PackedInt {}
Person.fields = [
  { name: 'age', size: 7 },
  { name: 'gender', size: 1 },
];
const person = new Person([20, 1]);
person.get('age');
//=> 20
person.get('gender');
//=> 1
person.set('age', 18);
person.value
//=> 41
person.toObject();
//=> { age: 20, gender: 1 }

You can forgo specifying sizes if your field size is 1 bit:

class Privileges extends PackedInt {}
Privileges.fields = ['user', 'moderator', 'administrator'];

const privileges = new Privileges(0);
privileges.set('user').set('moderator');
privileges.has('user', 'moderator');
//=> true
privileges.set('moderator', 0).has('moderator');
//=> false

If the total size of your fields exceeds 31 bits, PackedInt will internally use a BigInt to represent the resulting number, however, you can still use normal numbers to set each field and get their value as a number as well:

class LargeField extends PackedInt {}
LargeField.fields = [
  { name: 'width', size: 20 },
  { name: 'height', size: 20 },
];

const largeField = new LargeField([1048576, 1048576]);
largeField.value
//=> 1099512676352n
largeField.set('width', 1000).get('width')
//=> 1000

If you have to add more fields to your schema later on, you do not have to re-encode your existing values, just add new fields at the end of your new schema:

class OldPerson extends PackedInt {}
OldPerson.fields = [
  { name: 'age', size: 7 },
  { name: 'gender', size: 1 },
];

const oldPerson = OldPerson.encode([20, 1]);
//=> oldPerson === 41

class Person extends PackedInt {}
Person.fields = [
  { name: 'age', size: 7 },
  { name: 'gender', size: 1 },
  { name: 'weight', size: 8 },
];
const newPerson = new Person(oldPerson);
newPerson.get('age');
//=> 20
newPerson.get('weight');
//=> 0
newPerson.set('weight', 100).get('weight');
//=> 100

If you only want to encode or decode a set of field values without creating an instance, you can do so by use static methods PackedInt.encode and PackedInt.decode respectively:

class Person extends PackedInt {}
Person.fields = [
  { name: 'age', size: 7 },
  { name: 'gender', size: 1 },
];

Person.encode([20, 1]);
//=> 41

Person.decode(41);
//=> { age: 20, gender: 1 }

If you don't know beforehand how many bits you need for your field, you can call PackedInt.getMinSize with the maximum possible value of your field to find out:

PackedInt.getMinSize(100);
//=> 7

class Person extends PackedInt {}
Person.fields = [
  { name: 'age', size: PackedInt.getMinSize(100) },
  { name: 'gender', size: 1 },
];

For performance sake, PackedInt doesn't check the size of values being set and setting values that exceed the specified field size will lead to undefined behavior. If you want to check whether values fit their respective fields, you can use PackedInt.isValid:

class Person extends PackedInt {}
Person.fields = [
  { name: 'age', size: 7 },
  { name: 'gender', size: 1 },
];

Person.isValid({age: 100});
//=> true
Person.isValid({age: 100, gender: 3});
//=> false
Person.isValid([100, 1]);
//=> true
Person.isValid([100, 3]);
//=> false

PackedInt#match (and its static variation PackedInt.match) can be used to check values of multiple fields at once:

const person = new Person([20, 1]);
person.match({ age: 20 });
//=> true
person.match({ gender: 1, age: 20 });
//=> true
person.match({ gender: 1, age: 19 });
//=> false
Person.match(person.toValue(), { gender: 1, age: 20 });
//=> true

If you have to check multiple PackedInts for the same values, create a special matcher with PackedInt.getMatcher and use it in the match method, that way each check will require only one bitwise operation and a comparison:

const matcher = Person.getMatcher({ gender: 1, age: 20 });
Person.match(new Person([20, 1]).toValue(), matcher);
//=> true
Person.match(new Person([19, 1]).toValue(), matcher);
//=> false

SortedArray

SortedArray extends built-in Array to efficiently handle sorted data.

To create a SortedArray from unsorted array-like objects or items use SortedArray.from and SortedArray.of respectively:

SortedArray.from(unsorted);
//=> SortedArray [ 2, 3, 4, 5, 9 ]
SortedArray.of(8, 5, 6);
//=> SortedArray [ 5, 6, 8 ]

new SortedArray behaves the same way as new Array and should be used with already sorted elements:

new SortedArray(...first);
//=> SortedArray [ 1, 2, 3, 4, 8 ];
new SortedArray(2,3,4);
//=> SortedArray [ 2, 3, 4 ];

A custom comparison function can be specified on the array instance to be used for sorting:

sortedArray.compare = (a, b) => (a > b ? -1 : a < b ? 1 : 0);
sortedArray.sort();
//=> [ 9, 5, 4, 3, 2 ]

SortedArray supports all methods of Array. The methods that change the contents of an array do so while preserving the sorted order:

sortedArray.push(1);
//=> SortedArray [ 1, 2, 3, 4, 5, 9 ]
sortedArray.unshift(8);
//=> SortedArray [ 1, 2, 3, 4, 5, 8, 9 ]
sortedArray.splice(0, 2, 6);
//=> SortedArray [ 3, 4, 5, 6, 8, 9 ]

indexOf and includes use binary search that increasingly outperforms the built-in methods as the size of the array grows.

In addition to the Array instance methods, SortedArray provides isSorted method to check if the array is sorted, and range method to get elements of the array whose values are between the specified range:

sortedArray.range(3, 5);
// => [ 3, 4, 5 ]
sortedArray.range(undefined, 4);
// => [ 2, 3, 4 ]
sortedArray.range(4);
// => [ 4, 5, 8 ]

uniquify can be used to remove duplicating elements from the array:

const a = SortedArray.from([ 1, 1, 2, 2, 3, 4 ]);
a.uniquify();
//=> SortedArray [ 1, 2, 3, 4 ]

If the instance property unique of an array is set to true, the array will behave as a set and avoid duplicating elements:

const a = new SortedArray();
a.unique = true;
a.push(1);
//=> 1
a.push(2);
//=> 2
a.push(1);
//=> 2
a
//=> SortedArray [ 1, 2 ]

SortedArray also provides a set of functions to perform common set operations and find statistics of any sorted array-like objects without converting them to SortedArrays. Check API documentation for more information.

Documentation

License

MIT © Maga D. Zandaqo

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Package last updated on 17 Jan 2019

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