// test compareNatural
var assert = require('assert');
var math = require('../../../index');
var bignumber = math.bignumber;
var complex = math.complex;
var matrix = math.matrix;
var sparse = math.sparse;
var unit = math.unit;
var compareNatural = math.compareNatural;

describe('compareNatural', function() {

  it('should compare two numbers correctly', function() {
    assert.equal(compareNatural(2, 3), -1);
    assert.equal(compareNatural(2, 2), 0);
    assert.equal(compareNatural(2, 1), 1);
    assert.equal(compareNatural(0, 0), 0);
    assert.equal(compareNatural(-2, 2), -1);
    assert.equal(compareNatural(-2, -3), 1);
    assert.equal(compareNatural(-3, -2), -1);
  });

  it('should compare two floating point numbers correctly', function() {
    // Infinity
    assert.equal(compareNatural(Number.POSITIVE_INFINITY, Number.POSITIVE_INFINITY), 0);
    assert.equal(compareNatural(Number.NEGATIVE_INFINITY, Number.NEGATIVE_INFINITY), 0);
    assert.equal(compareNatural(Number.POSITIVE_INFINITY, Number.NEGATIVE_INFINITY), 1);
    assert.equal(compareNatural(Number.NEGATIVE_INFINITY, Number.POSITIVE_INFINITY), -1);
    assert.equal(compareNatural(Number.POSITIVE_INFINITY, 2.0), 1);
    assert.equal(compareNatural(2.0, Number.POSITIVE_INFINITY), -1);
    assert.equal(compareNatural(Number.NEGATIVE_INFINITY, 2.0), -1);
    assert.equal(compareNatural(2.0, Number.NEGATIVE_INFINITY), 1);
    // floating point numbers
    assert.equal(compareNatural(0.3 - 0.2, 0.1), 0);
  });

  it('should compare two booleans', function() {
    assert.equal(compareNatural(true, true), 0);
    assert.equal(compareNatural(true, false), 1);
    assert.equal(compareNatural(false, true), -1);
    assert.equal(compareNatural(false, false), 0);
  });

  it('should compare bignumbers', function() {
    assert.strictEqual(compareNatural(bignumber(2), bignumber(3)), -1);
    assert.strictEqual(compareNatural(bignumber(2), bignumber(2)), 0);
    assert.strictEqual(compareNatural(bignumber(3), bignumber(2)), 1);
    assert.strictEqual(compareNatural(bignumber(0), bignumber(0)), 0);
    assert.strictEqual(compareNatural(bignumber(-2), bignumber(2)), -1);
    assert.equal(typeof compareNatural(bignumber(-2), bignumber(2)), 'number');
  });

  it('should compare two fractions', function() {
    var a = math.fraction(1,3);
    var b = math.fraction(1,6);
    assert.equal(typeof compareNatural(a, b), 'number');
    assert.equal(a.toString(), '0.(3)');
    assert.equal(b.toString(), '0.1(6)');

    assert.equal(compareNatural(math.fraction(3), math.fraction(2)).valueOf(), 1);
    assert.equal(compareNatural(math.fraction(2), math.fraction(3)).valueOf(), -1);
    assert.equal(compareNatural(math.fraction(3), math.fraction(3)).valueOf(), 0);

    assert.strictEqual(compareNatural(math.add(math.fraction(0.1), math.fraction(0.2)), math.fraction(0.3)).valueOf(), 0); // this would fail with numbers
  });

  it('should compare two measures of the same unit', function() {
    assert.strictEqual(compareNatural(unit('100cm'), unit('10inch')), 1);
    assert.strictEqual(compareNatural(unit('99cm'), unit('1m')), -1);
    assert.strictEqual(compareNatural(unit('1m'), unit('1m')), 0);
    assert.strictEqual(compareNatural(unit('1m'), unit('100 cm')), 0);
    assert.strictEqual(compareNatural(unit('101cm'), unit('1m')), 1);
  });

  it('should compare two measures of different unit', function() {
    assert.strictEqual(compareNatural(math.unit(5, 'km'), math.unit(100, 'gram')), 1);
    assert.strictEqual(compareNatural(math.unit(4, 'km/h'), math.unit(2, 'm/s^2')), -1);
    assert.strictEqual(compareNatural(math.unit(2, 'm/s^2'), math.unit(4, 'km/h')), 1);
  });

  it('should compare mixed types (by type name)', function() {
    // booleans
    assert.strictEqual (compareNatural(2, true), 1);
    assert.strictEqual (compareNatural(0, false), 1);
    assert.strictEqual (compareNatural(true, 2), -1);
    assert.strictEqual (compareNatural(false, 2), -1);

    // null
    assert.strictEqual (compareNatural(2, null), 1);
    assert.strictEqual (compareNatural(null, 2), -1);

    // undefined
    assert.strictEqual (compareNatural(2, undefined), -1);
    assert.strictEqual (compareNatural(undefined, 2), 1);

    // fractions and units
    assert.strictEqual (compareNatural(1, math.fraction(1,3)), 1);
    assert.strictEqual (compareNatural(math.fraction(1,3), 1), -1);
    assert.strictEqual (compareNatural(1, math.fraction(1)), 1);
    assert.strictEqual (compareNatural(math.fraction(1), 1), -1);

    // units and numbers
    assert.strictEqual (compareNatural(unit('100cm'), 22), -1);
    assert.strictEqual (compareNatural(22, unit('100cm')), 1);

    // units and bignumbers
    assert.strictEqual (compareNatural(unit('100cm'), bignumber(22)), 1);
    assert.strictEqual (compareNatural(bignumber(22), unit('100cm')), -1);

    // numbers and complex
    assert.strictEqual (compareNatural(1, complex(2,3)), 1);
    assert.strictEqual (compareNatural(complex(2,3), 1), -1);

    // numbers and bignumbers
    assert.strictEqual (compareNatural(bignumber(2), 3), -1);
    assert.strictEqual (compareNatural(3, bignumber(2)), 1);
    assert.strictEqual (compareNatural(bignumber(2), 2), -1);
    assert.strictEqual (compareNatural(2, bignumber(2)), 1);

    // array, DenseMatrix, SparseMatrix
    assert.strictEqual (compareNatural([2], matrix([2])), -1);
    assert.strictEqual (compareNatural(matrix([2]), [2]), 1);
    assert.strictEqual (compareNatural(sparse([2]), [2]), -1);
    assert.strictEqual (compareNatural([2], sparse([2])), 1);
    assert.strictEqual (compareNatural(sparse([2]), matrix([2])), -1);
    assert.strictEqual (compareNatural(matrix([2]), sparse([2])), 1);

    // string and number
    assert.strictEqual (compareNatural('0', 0), 1);
  });

  it('should perform natural comparison for two strings', function() {
    assert.strictEqual(compareNatural('abd', 'abc'), 1);
    assert.strictEqual(compareNatural('abc', 'abc'), 0);
    assert.strictEqual(compareNatural('abc', 'abd'), -1);

    // natural sorting of strings
    assert.strictEqual(compareNatural('10', '2'), 1);
  });

  it('should compare arrays', function () {
    // mixed number/array
    assert.strictEqual(compareNatural(5, [1,2,3]), 1);
    assert.strictEqual(compareNatural([1,2,3], 5), -1);

    // same size
    assert.strictEqual(compareNatural([1,2,4], [1,2,3]), 1);

    // unequal size
    assert.strictEqual(compareNatural([1,2,3,4], [1,2,3]), 1);
    assert.strictEqual(compareNatural([1,2,3], [1,2,3,4]), -1);
    assert.strictEqual(compareNatural([1,4], [1,2,3]), 1);

    // unequal dimensions
    assert.strictEqual(compareNatural([[2]], [1]), 1);

    // multiple dimensions
    assert.strictEqual(compareNatural([[2,3]], [[2,4]]), -1);
    assert.strictEqual(compareNatural([[2,3], [5,6]], [[2,3], [5,6]]), 0);
  });

  it('should compare dense matrices', function () {
    // mixed number/matrix
    assert.strictEqual(compareNatural(5, matrix([1,2,3])), 1);
    assert.strictEqual(compareNatural(matrix([1,2,3]), 5), -1);

    // same size
    assert.strictEqual(compareNatural(matrix([1,2,4]), matrix([1,2,3])), 1);

    // unequal size
    assert.strictEqual(compareNatural(matrix([1,2,3,4]), matrix([1,2,3])), 1);
    assert.strictEqual(compareNatural(matrix([1,2,3]), matrix([1,2,3,4])), -1);
    assert.strictEqual(compareNatural(matrix([1,4]), matrix([1,2,3])), 1);

    // unequal dimensions
    assert.strictEqual(compareNatural(matrix([[2]]), matrix([1])), 1);

    // multiple dimensions
    assert.strictEqual(compareNatural(matrix([[2,3]]), matrix([[2,4]])), -1);
    assert.strictEqual(compareNatural(matrix([[2,3], [5,6]]), matrix([[2,3], [5,6]])), 0);
  });

  it('should compare sparse matrices', function () {
    // mixed number/sparse
    assert.strictEqual(compareNatural(5, sparse([1,2,3])), 1);
    assert.strictEqual(compareNatural(sparse([1,2,3]), 5), -1);

    // same size
    assert.strictEqual(compareNatural(sparse([1,2,4]), sparse([1,2,3])), 1);

    // unequal size
    assert.strictEqual(compareNatural(sparse([1,2,3,4]), sparse([1,2,3])), 1);
    assert.strictEqual(compareNatural(sparse([1,2,3]), sparse([1,2,3,4])), -1);
    assert.strictEqual(compareNatural(sparse([1,4]), sparse([1,2,3])), 1);

    // unequal dimensions
    assert.strictEqual(compareNatural(sparse([[2]]), sparse([1])), 1);

    // multiple dimensions
    assert.strictEqual(compareNatural(sparse([[2,3]]), sparse([[2,4]])), -1);
    assert.strictEqual(compareNatural(sparse([[2,3], [5,6]]), sparse([[2,3], [5,6]])), 0);
  });

  it('should compare objects', function () {
    // different number of keys
    assert.strictEqual(compareNatural({a:2, b:3}, {a:2}), 1);

    // different keys
    assert.strictEqual(compareNatural({b:3}, {a:2}), 1);

    // different values
    assert.strictEqual(compareNatural({a:3}, {a:2}), 1);

    // equal
    assert.strictEqual(compareNatural({a:2, b:3}, {a:2, b:3}), 0);
    
    // nesting
    assert.strictEqual(compareNatural({a:2, b: {c: 4}}, {a:2, b: {c: 3}}), 1);
    assert.strictEqual(compareNatural({a:2, b: {c: 3}}, {a:2, b: {c: 4}}), -1);
  });

  it('should apply configuration option epsilon', function() {
    var mymath = math.create();

    assert.equal(mymath.compareNatural(1, 0.991), 1);
    assert.equal(mymath.compareNatural(math.bignumber(1), math.bignumber(0.991)).valueOf(), 1);

    mymath.config({epsilon: 1e-2});
    assert.equal(mymath.compareNatural(1, 0.991), 0);
    assert.equal(mymath.compareNatural(math.bignumber(1), math.bignumber(0.991)), 0);
  });

  it('should compare complex numbers', function() {
    assert.equal(compareNatural(complex(1,1), complex(1,1)), 0);
    assert.equal(compareNatural(complex(2,1), complex(1,2)), 1);
    assert.equal(compareNatural(complex(0,1), complex(1,2)), -1);
  });

  it('should throw an error in case of invalid number of arguments', function() {
    assert.throws(function () {compareNatural(1);}, /TypeError: Too few arguments/);
    assert.throws(function () {compareNatural(1, 2, 3);}, /TypeError: Too many arguments/);
  });

  it('should LaTeX compare', function () {
    var expression = math.parse('compareNatural(1,2)');
    assert.equal(expression.toTex(), '\\mathrm{compareNatural}\\left(1,2\\right)');
  });
});