mathjs/src/function/arithmetic/dotDivide.js

import { factory } from '../../utils/factory'
import { createAlgorithm02 } from '../../type/matrix/utils/algorithm02'
import { createAlgorithm03 } from '../../type/matrix/utils/algorithm03'
import { createAlgorithm07 } from '../../type/matrix/utils/algorithm07'
import { createAlgorithm11 } from '../../type/matrix/utils/algorithm11'
import { createAlgorithm12 } from '../../type/matrix/utils/algorithm12'
import { createAlgorithm13 } from '../../type/matrix/utils/algorithm13'
import { createAlgorithm14 } from '../../type/matrix/utils/algorithm14'

const name = 'dotDivide'
const dependencies = [
  'typed',
  'matrix',
  'equalScalar',
  'divideScalar',
  'DenseMatrix'
]

export const createDotDivide = /* #__PURE__ */ factory(name, dependencies, ({ typed, matrix, equalScalar, divideScalar, DenseMatrix }) => {
  const algorithm02 = createAlgorithm02({ typed, equalScalar })
  const algorithm03 = createAlgorithm03({ typed })
  const algorithm07 = createAlgorithm07({ typed, DenseMatrix })
  const algorithm11 = createAlgorithm11({ typed, equalScalar })
  const algorithm12 = createAlgorithm12({ typed, DenseMatrix })
  const algorithm13 = createAlgorithm13({ typed })
  const algorithm14 = createAlgorithm14({ typed })

  /**
   * Divide two matrices element wise. The function accepts both matrices and
   * scalar values.
   *
   * Syntax:
   *
   *    math.dotDivide(x, y)
   *
   * Examples:
   *
   *    math.dotDivide(2, 4)   // returns 0.5
   *
   *    a = [[9, 5], [6, 1]]
   *    b = [[3, 2], [5, 2]]
   *
   *    math.dotDivide(a, b)   // returns [[3, 2.5], [1.2, 0.5]]
   *    math.divide(a, b)      // returns [[1.75, 0.75], [-1.75, 2.25]]
   *
   * See also:
   *
   *    divide, multiply, dotMultiply
   *
   * @param  {number | BigNumber | Fraction | Complex | Unit | Array | Matrix} x Numerator
   * @param  {number | BigNumber | Fraction | Complex | Unit | Array | Matrix} y Denominator
   * @return {number | BigNumber | Fraction | Complex | Unit | Array | Matrix}                    Quotient, `x ./ y`
   */
  const dotDivide = typed(name, {

    'any, any': divideScalar,

    'SparseMatrix, SparseMatrix': function (x, y) {
      return algorithm07(x, y, divideScalar, false)
    },

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

    'DenseMatrix, SparseMatrix': function (x, y) {
      return algorithm03(x, y, divideScalar, false)
    },

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

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

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

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

    'SparseMatrix, any': function (x, y) {
      return algorithm11(x, y, divideScalar, false)
    },

    'DenseMatrix, any': function (x, y) {
      return algorithm14(x, y, divideScalar, false)
    },

    'any, SparseMatrix': function (x, y) {
      return algorithm12(y, x, divideScalar, true)
    },

    'any, DenseMatrix': function (x, y) {
      return algorithm14(y, x, divideScalar, true)
    },

    'Array, any': function (x, y) {
      // use matrix implementation
      return algorithm14(matrix(x), y, divideScalar, false).valueOf()
    },

    'any, Array': function (x, y) {
      // use matrix implementation
      return algorithm14(matrix(y), x, divideScalar, true).valueOf()
    }
  })

  return dotDivide
})