mathjs/src/function/bitwise/leftShift.js

Math.js is an extensive math library for JavaScript and Node.js. It features a flexible expression parser with support for symbolic computation, comes with a large set of built-in functions and constants, and offers an integrated solution to work with dif

'use strict'

const isInteger = require('../../utils/number').isInteger
const bigLeftShift = require('../../utils/bignumber/leftShift')

function factory (type, config, load, typed) {
  const latex = require('../../utils/latex')

  const matrix = load(require('../../type/matrix/function/matrix'))
  const equalScalar = load(require('../relational/equalScalar'))
  const zeros = load(require('../matrix/zeros'))

  const algorithm01 = load(require('../../type/matrix/utils/algorithm01'))
  const algorithm02 = load(require('../../type/matrix/utils/algorithm02'))
  const algorithm08 = load(require('../../type/matrix/utils/algorithm08'))
  const algorithm10 = load(require('../../type/matrix/utils/algorithm10'))
  const algorithm11 = load(require('../../type/matrix/utils/algorithm11'))
  const algorithm13 = load(require('../../type/matrix/utils/algorithm13'))
  const algorithm14 = load(require('../../type/matrix/utils/algorithm14'))

  /**
   * Bitwise left logical shift of a value x by y number of bits, `x << y`.
   * For matrices, the function is evaluated element wise.
   * For units, the function is evaluated on the best prefix base.
   *
   * Syntax:
   *
   *    math.leftShift(x, y)
   *
   * Examples:
   *
   *    math.leftShift(1, 2)               // returns number 4
   *
   *    math.leftShift([1, 2, 3], 4)       // returns Array [16, 32, 64]
   *
   * See also:
   *
   *    leftShift, bitNot, bitOr, bitXor, rightArithShift, rightLogShift
   *
   * @param  {number | BigNumber | Array | Matrix} x Value to be shifted
   * @param  {number | BigNumber} y Amount of shifts
   * @return {number | BigNumber | Array | Matrix} `x` shifted left `y` times
   */
  const leftShift = typed('leftShift', {

    'number, number': function (x, y) {
      if (!isInteger(x) || !isInteger(y)) {
        throw new Error('Integers expected in function leftShift')
      }

      return x << y
    },

    'BigNumber, BigNumber': bigLeftShift,

    'SparseMatrix, SparseMatrix': function (x, y) {
      return algorithm08(x, y, leftShift, false)
    },

    'SparseMatrix, DenseMatrix': function (x, y) {
      return algorithm02(y, x, leftShift, true)
    },

    'DenseMatrix, SparseMatrix': function (x, y) {
      return algorithm01(x, y, leftShift, false)
    },

    'DenseMatrix, DenseMatrix': function (x, y) {
      return algorithm13(x, y, leftShift)
    },

    'Array, Array': function (x, y) {
      // use matrix implementation
      return leftShift(matrix(x), matrix(y)).valueOf()
    },

    'Array, Matrix': function (x, y) {
      // use matrix implementation
      return leftShift(matrix(x), y)
    },

    'Matrix, Array': function (x, y) {
      // use matrix implementation
      return leftShift(x, matrix(y))
    },

    'SparseMatrix, number | BigNumber': function (x, y) {
      // check scalar
      if (equalScalar(y, 0)) {
        return x.clone()
      }
      return algorithm11(x, y, leftShift, false)
    },

    'DenseMatrix, number | BigNumber': function (x, y) {
      // check scalar
      if (equalScalar(y, 0)) {
        return x.clone()
      }
      return algorithm14(x, y, leftShift, false)
    },

    'number | BigNumber, SparseMatrix': function (x, y) {
      // check scalar
      if (equalScalar(x, 0)) {
        return zeros(y.size(), y.storage())
      }
      return algorithm10(y, x, leftShift, true)
    },

    'number | BigNumber, DenseMatrix': function (x, y) {
      // check scalar
      if (equalScalar(x, 0)) {
        return zeros(y.size(), y.storage())
      }
      return algorithm14(y, x, leftShift, true)
    },

    'Array, number | BigNumber': function (x, y) {
      // use matrix implementation
      return leftShift(matrix(x), y).valueOf()
    },

    'number | BigNumber, Array': function (x, y) {
      // use matrix implementation
      return leftShift(x, matrix(y)).valueOf()
    }
  })

  leftShift.toTex = {
    2: `\\left(\${args[0]}${latex.operators['leftShift']}\${args[1]}\\right)`
  }

  return leftShift
}

exports.name = 'leftShift'
exports.factory = factory