package-list-js

List (and matrix, tables) package for the Fōrmulæ programming language.

Fōrmulæ is also a software framework for visualization, edition and manipulation of complex expressions, from many fields. The code for an specific field —i.e. arithmetics— is encapsulated in a single unit called a Fōrmulæ package.

This repository contains the source code for the list package. It is intended to the computation on lists. Despite the name, it includes a lot of expressions related to vectors, matrices (because a matrix is a list of -same cardinallity- subslists), and tables.

The GitHub organization formulae-org encompasses the source code for the rest of packages, as well as the web application.

Capabilities

• Visualization of expressions

  • List, it is shown as $\{ element_1, element_2, ..., element_n \}$
  • Matrix
  • Table

• Edition

  • Manual creation of a list. It creates a list with the currently selected expression as it single element
  • Manual creation of a multi-element list of a provided number of elements
  • Manual creation of a matrix of given number of rows and columns
  • Manual creation of a table from a matrix

• Reduction

  • Related to lists/vectors
    • Sort the elements of a list/vector
      • Using the natural order of its elements
      • Using a custom comparator, provided as a lambda expression
    • Cartesian product of two or more lists/vectors
    • Cartesian exponentiation of a list/vector
    • Dot product of two or more lists/vectors
    • Power set of two or more lists/vectors
  • Related to matrices
    • Matrix multiplication
    • Transpose of a matrix
    • Determinant of a matrix
    • Kronecker product of two or more matrices
    • Conjugate transpose of a matrix
  • Programmatic creation of list/vectors/matrices/tables
    • Creation of a list from a range e.g. 5..10