mathjs/lib/function/logical/or.js

'use strict';

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

  var matrix = load(require('../../type/matrix/function/matrix'));

  var algorithm03 = load(require('../../type/matrix/utils/algorithm03'));
  var algorithm05 = load(require('../../type/matrix/utils/algorithm05'));
  var algorithm12 = load(require('../../type/matrix/utils/algorithm12'));
  var algorithm13 = load(require('../../type/matrix/utils/algorithm13'));
  var algorithm14 = load(require('../../type/matrix/utils/algorithm14'));
  
  /**
   * Logical `or`. Test if at least one value is defined with a nonzero/nonempty value.
   * For matrices, the function is evaluated element wise.
   *
   * Syntax:
   *
   *    math.or(x, y)
   *
   * Examples:
   *
   *    math.or(2, 4);   // returns true
   *
   *    a = [2, 5, 0];
   *    b = [0, 22, 0];
   *    c = 0;
   *
   *    math.or(a, b);   // returns [true, true, false]
   *    math.or(b, c);   // returns [false, true, false]
   *
   * See also:
   *
   *    and, not, xor
   *
   * @param  {number | BigNumber | Complex | Unit | Array | Matrix} x First value to check
   * @param  {number | BigNumber | Complex | Unit | Array | Matrix} y Second value to check
   * @return {boolean | Array | Matrix}
   *            Returns true when one of the inputs is defined with a nonzero/nonempty value.
   */
  var or = typed('or', {

    'number, number': function (x, y) {
      return !!(x || y);
    },

    'Complex, Complex': function (x, y) {
      return (x.re !== 0 || x.im !== 0) || (y.re !== 0 || y.im !== 0);
    },

    'BigNumber, BigNumber': function (x, y) {
      return (!x.isZero() && !x.isNaN()) || (!y.isZero() && !y.isNaN());
    },

    'Unit, Unit': function (x, y) {
      return or(x.value || 0, y.value || 0);
    },

    'SparseMatrix, SparseMatrix': function(x, y) {
      return algorithm05(x, y, or);
    },

    'SparseMatrix, DenseMatrix': function(x, y) {
      return algorithm03(y, x, or, true);
    },

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

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

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

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

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

    'SparseMatrix, any': function (x, y) {
      return algorithm12(x, y, or, false);
    },

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

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

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

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

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

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

  return or;
}

exports.name = 'or';
exports.factory = factory;