mathjs/test/expression/node/FunctionAssignmentNode.test.js

Math.js is an extensive math library for JavaScript and Node.js. It features a flexible expression parser and offers an integrated solution to work with numbers, big numbers, complex numbers, units, and matrices.

// test FunctionAssignmentNode
var assert = require('assert'),
    approx = require('../../../tools/approx'),
    math = require('../../../index'),
    Node = require('../../../lib/expression/node/Node'),
    ConstantNode = require('../../../lib/expression/node/ConstantNode'),
    OperatorNode = require('../../../lib/expression/node/OperatorNode'),
    FunctionAssignmentNode = require('../../../lib/expression/node/FunctionAssignmentNode'),
    AssignmentNode = require('../../../lib/expression/node/AssignmentNode'),
    RangeNode = require('../../../lib/expression/node/RangeNode'),
    SymbolNode = require('../../../lib/expression/node/SymbolNode');

describe('FunctionAssignmentNode', function() {

  it ('should create a FunctionAssignmentNode', function () {
    var n = new FunctionAssignmentNode('f', ['x'], new ConstantNode(2));
    assert(n instanceof FunctionAssignmentNode);
    assert(n instanceof Node);
    assert.equal(n.type, 'FunctionAssignmentNode');
  });

  it ('should throw an error when calling without new operator', function () {
    assert.throws(function () {FunctionAssignmentNode('f', ['x'], new ConstantNode(2))}, SyntaxError);
  });

  it ('should throw an error on wrong constructor arguments', function () {
    assert.throws(function () {new FunctionAssignmentNode()}, TypeError);
    assert.throws(function () {new FunctionAssignmentNode('a')}, TypeError);
    assert.throws(function () {new FunctionAssignmentNode('a', ['x'])}, TypeError);
    assert.throws(function () {new FunctionAssignmentNode('a', [2], new ConstantNode(2))}, TypeError);
    assert.throws(function () {new FunctionAssignmentNode(null, ['x'], new ConstantNode(2))}, TypeError);
  });

  it ('should compile a FunctionAssignmentNode', function () {
    var a = new ConstantNode(2);
    var x = new SymbolNode('x');
    var o = new OperatorNode('+', 'add', [a, x]);
    var n = new FunctionAssignmentNode('f', ['x'], o);

    var expr = n.compile(math);
    var scope = {};
    var f = expr.eval(scope);
    assert.equal(typeof scope.f, 'function');
    assert.equal(scope.f(3), 5);
    assert.equal(scope.f(5), 7);
    assert.throws(function () {scope.f()}, SyntaxError);
    assert.throws(function () {scope.f(2, 3)}, SyntaxError);

  });

  it ('should filter a FunctionAssignmentNode', function () {
    var a = new ConstantNode(2);
    var x = new SymbolNode('x');
    var o = new OperatorNode('+', 'add', [a, x]);
    var n = new FunctionAssignmentNode('f', ['x'], o);

    assert.deepEqual(n.filter(function (node) {return node instanceof FunctionAssignmentNode}),  [n]);
    assert.deepEqual(n.filter(function (node) {return node instanceof SymbolNode}),    [x]);
    assert.deepEqual(n.filter(function (node) {return node instanceof RangeNode}),     []);
    assert.deepEqual(n.filter(function (node) {return node instanceof ConstantNode}),  [a]);
    assert.deepEqual(n.filter(function (node) {return node instanceof ConstantNode && node.value == '2'}),  [a]);
    assert.deepEqual(n.filter(function (node) {return node instanceof ConstantNode && node.value == '4'}),  []);
  });

  it ('should throw an error when creating a FunctionAssignmentNode with a reserved keyword', function () {
    assert.throws(function () {
      new FunctionAssignmentNode('end', ['x'], new ConstantNode(2));
    }, /Illegal function name/)
  });

  it ('should filter a FunctionAssignmentNode without expression', function () {
    var e = new FunctionAssignmentNode('f', ['x'], new ConstantNode(2));

    assert.deepEqual(e.filter(function (node) {return node instanceof FunctionAssignmentNode}),  [e]);
    assert.deepEqual(e.filter(function (node) {return node instanceof SymbolNode}),    []);
  });

  it ('should run forEach on a FunctionAssignmentNode', function () {
    var a = new ConstantNode(2);
    var n = new FunctionAssignmentNode('f', ['x'], a);

    var nodes = [];
    var paths = [];
    n.forEach(function (node, path, parent) {
      nodes.push(node);
      paths.push(path);
      assert.strictEqual(parent, n);
    });

    assert.equal(nodes.length, 1);
    assert.strictEqual(nodes[0], a);
    assert.deepEqual(paths, ['expr']);
  });

  it ('should map a FunctionAssignmentNode', function () {
    var a = new ConstantNode(2);
    var n = new FunctionAssignmentNode('f', ['x'], a);

    var nodes = [];
    var paths = [];
    var e = new ConstantNode(3);
    var f = n.map(function (node, path, parent) {
      nodes.push(node);
      paths.push(path);
      assert.strictEqual(parent, n);

      return node instanceof SymbolNode && node.name == 'x' ? e : node;
    });

    assert.equal(nodes.length, 1);
    assert.strictEqual(nodes[0], a);
    assert.deepEqual(paths, ['expr']);

    assert.notStrictEqual(f, n);
    assert.deepEqual(f.expr, a);
  });

  it ('should throw an error when the map callback does not return a node', function () {
    var a = new ConstantNode(2);
    var n = new FunctionAssignmentNode('f', ['x'], a);

    assert.throws(function () {
      n.map(function () {});
    }, /Callback function must return a Node/)
  });

  it ('should transform a FunctionAssignmentNodes (nested) parameters', function () {
    // f(x) = 2 + x
    var a = new ConstantNode(2);
    var x = new SymbolNode('x');
    var c = new OperatorNode('+', 'add', [a, x]);
    var n = new FunctionAssignmentNode('f', ['x'], c);

    var e = new ConstantNode(3);
    var f = n.transform(function (node) {
      return node instanceof SymbolNode && node.name == 'x' ? e : node;
    });

    assert.notStrictEqual(f, n);
    assert.deepEqual(f.expr.args[0], a);
    assert.deepEqual(f.expr.args[1], e);
  });

  it ('should transform a FunctionAssignmentNode itself', function () {
    // f(x) = 2 + x
    var a = new ConstantNode(2);
    var x = new SymbolNode('x');
    var c = new OperatorNode('+', 'add', [a, x]);
    var n = new FunctionAssignmentNode('f', ['x'], c);

    var e = new ConstantNode(5);
    var f = n.transform(function (node) {
      return node instanceof FunctionAssignmentNode ? e : node;
    });

    assert.strictEqual(f, e);
  });

  it ('should clone a FunctionAssignmentNode', function () {
    // f(x) = 2 + x
    var a = new ConstantNode(2);
    var x = new SymbolNode('x');
    var c = new OperatorNode('+', 'add', [a, x]);
    var d = new FunctionAssignmentNode('f', ['x'], c);

    var e = d.clone();
    assert(e instanceof FunctionAssignmentNode);
    assert.deepEqual(e, d);
    assert.notStrictEqual(e, d);
    assert.strictEqual(e.expr, d.expr);
  });

  it ('should stringify a FunctionAssignmentNode', function () {
    var a = new ConstantNode(2);
    var x = new SymbolNode('x');
    var o = new OperatorNode('+', 'add', [a, x]);
    var n = new FunctionAssignmentNode('f', ['x'], o);

    assert.equal(n.toString(), 'function f(x) = 2 + x');
  });

  it ('should stringify a FunctionAssignmentNode conataining an AssignmentNode', function () {
    var a = new ConstantNode(2);

    var n1 = new AssignmentNode('a', a);
    var n = new FunctionAssignmentNode('f', ['x'], n1);

    assert.equal(n.toString(), 'function f(x) = (a = 2)');
  });

  it ('should LaTeX a FunctionAssignmentNode', function() {
    var a = new ConstantNode(2);
    var x = new SymbolNode('x');
    var o = new OperatorNode('/', 'divide', [x, a]);
    var p = new OperatorNode('^', 'pow', [o, a]);
    var n = new FunctionAssignmentNode('f', ['x'], p);

    assert.equal(n.toTex(), 'f\\left({x}\\right)={\\left({\\frac{x}{2}}\\right) ^ {2}}');
  });

  it ('should LaTeX a FunctionAssignmentNode containing an AssignmentNode', function () {
    var a = new ConstantNode(2);

    var n1 = new AssignmentNode('a', a);
    var n = new FunctionAssignmentNode('f', ['x'], n1);

    assert.equal(n.toTex(), 'f\\left({x}\\right)=\\left({{a}={2}}\\right)');
  });

  it ('should LaTeX a FunctionAssignmentNode with custom toTex', function () {
    //Also checks if the custom functions get passed on to the children
    var customFunction = function (node, callback) {
      if (node.type === 'FunctionAssignmentNode') {
        var latex = '\\mbox{' + node.name + '}\\left(';
        node.params.forEach(function (param) {
          latex += param + ', ';
        });

        latex += '\\right)=' + node.expr.toTex(callback);
        return latex;
      }
      else if (node.type === 'ConstantNode') {
        return 'const\\left(' + node.value + ', ' + node.valueType + '\\right)'
      }
    };

    var a = new ConstantNode(1);

    var n = new FunctionAssignmentNode('func', ['x'], a);

    assert.equal(n.toTex(customFunction), '\\mbox{func}\\left(x, \\right)=const\\left(1, number\\right)');
  });

});