Exercise 2

Getting started

First, you must install all the javascript dependencies:

npm install

You can then execute the tests implemented using mocha and chai:

npm test

The output should display a lot of failing tests. In order for the tests to pass, make modifications to the file .js. The other files in the repository should not be modified.

Part 1: Trigonometry

You are asked to implement the trigonometric functions that will be used to draw the viewport of the video game.

random(from, to)

The function random(from, to) must return a random integer from the inclusive range [from, to].

Example:

var i = random(10, 12) // the possible values are 10, 11 ou 12

randomColor()

The function randomColor() must return a short random hexadecimal color.

Example:

var color = randomColor() // a possible value is '#AF9'

toRadians(degrees) and toDegrees(radians)

Complete the functions toRadians(degrees) and toDegrees(radians) that convert degrees to radians and conversly. The Javascript constant Math.PI should be used to implement them. The relationship between degrees and radians is recalled here.

adjacent(hypotenuse, radians) and opposite(hypotenuse, radians)

Complete the trigonometric functions adjacent(hypotenuse, radians) and opposite(hypotenuse, radians) that are necessary to compute the position of game objects (kart, rocket) on a 2D plan. As suggested by the names adjacent(hypotenuse, radians) returns the adjacent and opposite(hypotenuse, radians) returns the opposite.

Some basic notion of trigonometry are recalled hereafter:

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

The Javascript functions Math.sin(x) and Math.cos(x) should be used to implement these functions.

position(coord, max)

A viewport is a visible area on a plan. When a game objects leaves the viewport at one end, it should reappear at the other end. Given a viewport on an axis that starts at coordinate 0 and stops at coordinate max, complete the function position(coordinates, max) that compute the correct position on the viewport.

Example:

position(11, 10) // returns 1
position(-1, 10) // returns 9

collision(pX, pY, cX, cY, cR)

Implement and write the documentation of the function collision(x1, y1, x2, y2, r) that returns true if the center of a rocket or spaceship is colliding with an asteroid characterized by a radius. Recall that the pythagora theorem can be used to verify the distance between a point x1, y1 and a point x2, y2 is smaller or equal to a radius r

Part 2: Validation

The src/validation.js file contains the description of several validation functions. Each of these functions take a string as a parameter. If a parameter of a different type is passed, an InvalidArgumentError is thrown.

The implementation of these function should use a regular expression. If the validation against the regular expression is successful, then the value true is returned. Otherwise a ValidationError is thrown. The soundness of this choice shall be discussed with your teaching staff after a couple of beers... ;)

You are asked to implement the following validation functions (TODO Part 1 in src/validation.js file). Each function should rely on a Regexp and return a boolean value to indicate if the validation was successful or not.

name(value)

validate that the submitted value is a valid name:

• Starting with a capital letter;
• Is composed exclusively of letters with the exception of spaces or "-" followed by a capital letter.

examples: Jean, Jean-Jacques, Jean Jacques

password(value)

validate that the submitted value is a valid password according to the following rules:

• Has a minimum of 8 characters;
• Contains at least one lower case letter, one capital letter, one digit and a special character (#$^+=!*()@%&).

examples: abe8$Cee, rfsB*8ad

phone(value)

validate that the submitted value is a valid phone number according to the following rule:

• Should be a string starting by a "+" followed by 11 digits.

examples: +41797778899, +33212223344

date(value)

validate that the submitted value is a valid date according to the following format:

• yyyy-mm-dd (digits separated by "-").

examples: 2018-02-02, 2000-01-01

iban(value)

validate that the submitted value is a valid IBAN according to the following rules:

• Starting by two capital letters followed by digits or capital letters;
• Contains a maximum of 34 total characters;
• Not taking any space or "-" between each group of 4 characters in consideration.

examples: CH56 0483 5012 3456 7800 9, CH56-0483-5012-3456-7800-9,GB5604835012345678099