mathjs/es/function/relational/compareNatural.js

import naturalSort from 'javascript-natural-sort';
import { isDenseMatrix, isSparseMatrix, typeOf } from '../../utils/is';
import { factory } from '../../utils/factory';
var name = 'compareNatural';
var dependencies = ['typed', 'compare'];
export var createCompareNatural =
/* #__PURE__ */
factory(name, dependencies, function (_ref) {
  var typed = _ref.typed,
      compare = _ref.compare;
  var compareBooleans = compare.signatures['boolean,boolean'];
  /**
   * Compare two values of any type in a deterministic, natural way.
   *
   * For numeric values, the function works the same as `math.compare`.
   * For types of values that can't be compared mathematically,
   * the function compares in a natural way.
   *
   * For numeric values, x and y are considered equal when the relative
   * difference between x and y is smaller than the configured epsilon.
   * The function cannot be used to compare values smaller than
   * approximately 2.22e-16.
   *
   * For Complex numbers, first the real parts are compared. If equal,
   * the imaginary parts are compared.
   *
   * Strings are compared with a natural sorting algorithm, which
   * orders strings in a "logic" way following some heuristics.
   * This differs from the function `compare`, which converts the string
   * into a numeric value and compares that. The function `compareText`
   * on the other hand compares text lexically.
   *
   * Arrays and Matrices are compared value by value until there is an
   * unequal pair of values encountered. Objects are compared by sorted
   * keys until the keys or their values are unequal.
   *
   * Syntax:
   *
   *    math.compareNatural(x, y)
   *
   * Examples:
   *
   *    math.compareNatural(6, 1)              // returns 1
   *    math.compareNatural(2, 3)              // returns -1
   *    math.compareNatural(7, 7)              // returns 0
   *
   *    math.compareNatural('10', '2')         // returns 1
   *    math.compareText('10', '2')            // returns -1
   *    math.compare('10', '2')                // returns 1
   *
   *    math.compareNatural('Answer: 10', 'Answer: 2') // returns 1
   *    math.compareText('Answer: 10', 'Answer: 2')    // returns -1
   *    math.compare('Answer: 10', 'Answer: 2')
   *        // Error: Cannot convert "Answer: 10" to a number
   *
   *    const a = math.unit('5 cm')
   *    const b = math.unit('40 mm')
   *    math.compareNatural(a, b)              // returns 1
   *
   *    const c = math.complex('2 + 3i')
   *    const d = math.complex('2 + 4i')
   *    math.compareNatural(c, d)              // returns -1
   *
   *    math.compareNatural([1, 2, 4], [1, 2, 3]) // returns 1
   *    math.compareNatural([1, 2, 3], [1, 2])    // returns 1
   *    math.compareNatural([1, 5], [1, 2, 3])    // returns 1
   *    math.compareNatural([1, 2], [1, 2])       // returns 0
   *
   *    math.compareNatural({a: 2}, {a: 4})       // returns -1
   *
   * See also:
   *
   *    compare, compareText
   *
   * @param  {*} x First value to compare
   * @param  {*} y Second value to compare
   * @return {number} Returns the result of the comparison:
   *                  1 when x > y, -1 when x < y, and 0 when x == y.
   */

  var compareNatural = typed(name, {
    'any, any': function anyAny(x, y) {
      var typeX = typeOf(x);
      var typeY = typeOf(y);
      var c; // numeric types

      if ((typeX === 'number' || typeX === 'BigNumber' || typeX === 'Fraction') && (typeY === 'number' || typeY === 'BigNumber' || typeY === 'Fraction')) {
        c = compare(x, y);

        if (c.toString() !== '0') {
          // c can be number, BigNumber, or Fraction
          return c > 0 ? 1 : -1; // return a number
        } else {
          return naturalSort(typeX, typeY);
        }
      } // matrix types


      if (typeX === 'Array' || typeX === 'Matrix' || typeY === 'Array' || typeY === 'Matrix') {
        c = compareMatricesAndArrays(x, y);

        if (c !== 0) {
          return c;
        } else {
          return naturalSort(typeX, typeY);
        }
      } // in case of different types, order by name of type, i.e. 'BigNumber' < 'Complex'


      if (typeX !== typeY) {
        return naturalSort(typeX, typeY);
      }

      if (typeX === 'Complex') {
        return compareComplexNumbers(x, y);
      }

      if (typeX === 'Unit') {
        if (x.equalBase(y)) {
          return compareNatural(x.value, y.value);
        } // compare by units


        return compareArrays(x.formatUnits(), y.formatUnits());
      }

      if (typeX === 'boolean') {
        return compareBooleans(x, y);
      }

      if (typeX === 'string') {
        return naturalSort(x, y);
      }

      if (typeX === 'Object') {
        return compareObjects(x, y);
      }

      if (typeX === 'null') {
        return 0;
      }

      if (typeX === 'undefined') {
        return 0;
      } // this should not occur...


      throw new TypeError('Unsupported type of value "' + typeX + '"');
    }
  });
  /**
   * Compare mixed matrix/array types, by converting to same-shaped array.
   * This comparator is non-deterministic regarding input types.
   * @param {Array | SparseMatrix | DenseMatrix | *} x
   * @param {Array | SparseMatrix | DenseMatrix | *} y
   * @returns {number} Returns the comparison result: -1, 0, or 1
   */

  function compareMatricesAndArrays(x, y) {
    if (isSparseMatrix(x) && isSparseMatrix(y)) {
      return compareArrays(x.toJSON().values, y.toJSON().values);
    }

    if (isSparseMatrix(x)) {
      // note: convert to array is expensive
      return compareMatricesAndArrays(x.toArray(), y);
    }

    if (isSparseMatrix(y)) {
      // note: convert to array is expensive
      return compareMatricesAndArrays(x, y.toArray());
    } // convert DenseArray into Array


    if (isDenseMatrix(x)) {
      return compareMatricesAndArrays(x.toJSON().data, y);
    }

    if (isDenseMatrix(y)) {
      return compareMatricesAndArrays(x, y.toJSON().data);
    } // convert scalars to array


    if (!Array.isArray(x)) {
      return compareMatricesAndArrays([x], y);
    }

    if (!Array.isArray(y)) {
      return compareMatricesAndArrays(x, [y]);
    }

    return compareArrays(x, y);
  }
  /**
   * Compare two Arrays
   *
   * - First, compares value by value
   * - Next, if all corresponding values are equal,
   *   look at the length: longest array will be considered largest
   *
   * @param {Array} x
   * @param {Array} y
   * @returns {number} Returns the comparison result: -1, 0, or 1
   */


  function compareArrays(x, y) {
    // compare each value
    for (var i = 0, ii = Math.min(x.length, y.length); i < ii; i++) {
      var v = compareNatural(x[i], y[i]);

      if (v !== 0) {
        return v;
      }
    } // compare the size of the arrays


    if (x.length > y.length) {
      return 1;
    }

    if (x.length < y.length) {
      return -1;
    } // both Arrays have equal size and content


    return 0;
  }
  /**
   * Compare two objects
   *
   * - First, compare sorted property names
   * - Next, compare the property values
   *
   * @param {Object} x
   * @param {Object} y
   * @returns {number} Returns the comparison result: -1, 0, or 1
   */


  function compareObjects(x, y) {
    var keysX = Object.keys(x);
    var keysY = Object.keys(y); // compare keys

    keysX.sort(naturalSort);
    keysY.sort(naturalSort);
    var c = compareArrays(keysX, keysY);

    if (c !== 0) {
      return c;
    } // compare values


    for (var i = 0; i < keysX.length; i++) {
      var v = compareNatural(x[keysX[i]], y[keysY[i]]);

      if (v !== 0) {
        return v;
      }
    }

    return 0;
  }

  return compareNatural;
});
/**
 * Compare two complex numbers, `x` and `y`:
 *
 * - First, compare the real values of `x` and `y`
 * - If equal, compare the imaginary values of `x` and `y`
 *
 * @params {Complex} x
 * @params {Complex} y
 * @returns {number} Returns the comparison result: -1, 0, or 1
 */

function compareComplexNumbers(x, y) {
  if (x.re > y.re) {
    return 1;
  }

  if (x.re < y.re) {
    return -1;
  }

  if (x.im > y.im) {
    return 1;
  }

  if (x.im < y.im) {
    return -1;
  }

  return 0;
}