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aameralduais/vector2.spec.js

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Created December 5, 2013 18:34
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vector2.spec.js
/*global console window describe xdescribe it expect runs waits*/
(function () {
require.paths.unshift(__dirname + '/../../../');
require('thorny/base')('./config/default.json')(function ($) {
describe('a vector2', function () {
it('should contain the following functions', function () {
var vector2 = $('thorny math vector2');
expect(typeof vector2.factory).toEqual('function');
expect(typeof vector2.centroid).toEqual('function');
expect(typeof vector2.isLeftOfEdge).toEqual('function');
expect(typeof vector2.lineIntersection).toEqual('function');
describe('factory', function () {
it('should expose the following functions', function () {
var v2 = vector2.factory();
expect(typeof v2.getX).toEqual('function');
expect(typeof v2.getY).toEqual('function');
expect(typeof v2.getSimpleCoords).toEqual('function');
expect(typeof v2.getIntegerCoords).toEqual('function');
expect(typeof v2.normalize).toEqual('function');
expect(typeof v2.add).toEqual('function');
expect(typeof v2.sub).toEqual('function');
expect(typeof v2.translate).toEqual('function');
expect(typeof v2.cross).toEqual('function');
expect(typeof v2.dot).toEqual('function');
expect(typeof v2.magnitude).toEqual('function');
expect(typeof v2.distance).toEqual('function');
expect(typeof v2.sameAs).toEqual('function');
expect(typeof v2.rotate).toEqual('function');
expect(typeof v2.angle).toEqual('function');
expect(typeof v2.rotateToFace).toEqual('function');
expect(typeof v2.toRadians).toEqual('function');
expect(typeof v2.clone).toEqual('function');
describe('getX', function () {
it('should correctly expose the x value', function () {
var
v1 = vector2.factory(10, 0),
v2 = vector2.factory(-99, 0),
v3 = vector2.factory(1234567890, 0),
v4 = vector2.factory(-1234567890, 0),
v5 = vector2.factory(0, 0);
expect(v1.getX()).toEqual(10);
expect(v2.getX()).toEqual(-99);
expect(v3.getX()).toEqual(1234567890);
expect(v4.getX()).toEqual(-1234567890);
expect(v5.getX()).toEqual(0);
});
});
describe('getY', function () {
it('should correctly expose the y value', function () {
var
v1 = vector2.factory(0, 10),
v2 = vector2.factory(0, -99),
v3 = vector2.factory(0, 1234567890),
v4 = vector2.factory(0, -1234567890),
v5 = vector2.factory(0, 0);
expect(v1.getY()).toEqual(10);
expect(v2.getY()).toEqual(-99);
expect(v3.getY()).toEqual(1234567890);
expect(v4.getY()).toEqual(-1234567890);
expect(v5.getY()).toEqual(0);
});
});
describe('getSimpleCoords', function () {
it('should expose an array containing the x/y values stored within the vector2', function () {
var
v1 = vector2.factory(0, 0),
v2 = vector2.factory(1234567890, -1234567890),
v3 = vector2.factory(0.00000001, 10.99999999),
v4 = vector2.factory(123.45, 678.90),
v5 = vector2.factory(-1, -1);
expect(v1.getSimpleCoords()).toEqual([0, 0]);
expect(v2.getSimpleCoords()).toEqual([1234567890, -1234567890]);
expect(v3.getSimpleCoords()).toEqual([0.00000001, 10.99999999]);
expect(v4.getSimpleCoords()).toEqual([123.45, 678.90]);
expect(v5.getSimpleCoords()).toEqual([-1, -1]);
});
});
describe('getIntegerCoords', function () {
it('should convert the decimal point accurate vector into integers', function () {
expect(vector2.factory(10, 10).getIntegerCoords()).toEqual([10, 10]);
expect(vector2.factory(0.930493, 0.12534553).getIntegerCoords()).toEqual([1, 0]);
expect(vector2.factory(100.34344, 9.9999999).getIntegerCoords()).toEqual([100, 10]);
expect(vector2.factory(5.0000001, 45.43553).getIntegerCoords()).toEqual([5, 45]);
expect(vector2.factory(3857.343, 74746.1).getIntegerCoords()).toEqual([3857, 74746]);
});
});
describe('normalize', function () {
it('should normalise a vector', function () {
expect(vector2.factory(10, 0).normalize().getSimpleCoords()).toEqual([1, 0]);
expect(vector2.factory(0, 10).normalize().getSimpleCoords()).toEqual([0, 1]);
expect(vector2.factory(-10, 0).normalize().getSimpleCoords()).toEqual([-1, 0]);
expect(vector2.factory(0, -10).normalize().getSimpleCoords()).toEqual([0, -1]);
expect(vector2.factory(10, 10).normalize().getSimpleCoords()).toEqual([0.7071067811865475, 0.7071067811865475]);
expect(vector2.factory(10, -10).normalize().getSimpleCoords()).toEqual([0.7071067811865475, -0.7071067811865475]);
expect(vector2.factory(-10, 10).normalize().getSimpleCoords()).toEqual([-0.7071067811865475, 0.7071067811865475]);
expect(vector2.factory(-10, -10).normalize().getSimpleCoords()).toEqual([-0.7071067811865475, -0.7071067811865475]);
});
});
describe('add', function () {
it('should add two vectors together resulting in a 3rd', function () {
expect(
vector2.factory(0, 0)
.add(
vector2.factory(10, 10)
)
.getSimpleCoords()
).toEqual([10, 10]);
expect(
vector2.factory(-13, 13)
.add(
vector2.factory(13, -13)
)
.getSimpleCoords()
).toEqual([0, 0]);
expect(
vector2.factory(99, 43)
.add(
vector2.factory(101, -13)
)
.getSimpleCoords()
).toEqual([200, 30]);
expect(
vector2.factory(17, 9)
.add(
vector2.factory(-83, -13)
)
.getSimpleCoords()
).toEqual([-66, -4]);
expect(
vector2.factory(17, 9)
.add(
vector2.factory(45, 2)
)
.getSimpleCoords()
).toEqual([62, 11]);
});
});
describe('sub', function () {
it('should subtract two vectors from one another and return a third', function () {
expect(
vector2.factory(0, 0)
.sub(
vector2.factory(10, 10)
)
.getSimpleCoords()
).toEqual([-10, -10]);
expect(
vector2.factory(20, 10)
.sub(
vector2.factory(10, 10)
)
.getSimpleCoords()
).toEqual([10, 0]);
expect(
vector2.factory(-99, 50)
.sub(
vector2.factory(45, 10)
)
.getSimpleCoords()
).toEqual([-144, 40]);
expect(
vector2.factory(56, -1)
.sub(
vector2.factory(-57, 1)
)
.getSimpleCoords()
).toEqual([113, -2]);
expect(
vector2.factory(0, 0)
.sub(
vector2.factory(0, 0)
)
.getSimpleCoords()
).toEqual([0, 0]);
});
});
describe('translate', function () {
it('should move a vector by a set amount', function () {
expect(
vector2.factory(0, 0)
.translate(
vector2.factory(1, 0),
10
)
.getSimpleCoords()
).toEqual([10, 0]);
expect(
vector2.factory(60, 0)
.translate(
vector2.factory(1, 1),
10
)
.getSimpleCoords()
).toEqual([67.07106781186548, 7.071067811865475]);
expect(
vector2.factory(0, 0)
.translate(
vector2.factory(-1, 1),
10
)
.getSimpleCoords()
).toEqual([-7.071067811865475, 7.071067811865475]);
});
});
describe('cross', function () {
it('should return the crossed value of a vector', function () {
expect(
vector2.factory(10, 10)
.cross(
vector2.factory(10, 10)
)
).toEqual(0);
expect(
vector2.factory(10, 10)
.cross(
vector2.factory(0, 10)
)
).toEqual(100);
expect(
vector2.factory(0, 10)
.cross(
vector2.factory(10, 0)
)
).toEqual(-100);
expect(
vector2.factory(-10, 10)
.cross(
vector2.factory(10, 10)
)
).toEqual(-200);
expect(
vector2.factory(0, 0)
.cross(
vector2.factory(10, 10)
)
).toEqual(0);
});
});
describe('dot', function () {
it('should find the dot product of two vectors', function () {
expect(
vector2.factory(0, 0)
.dot(
vector2.factory(0, 0)
)
).toEqual(0);
expect(
vector2.factory(10, 10)
.dot(
vector2.factory(10, 10)
)
).toEqual(200);
expect(
vector2.factory(10, 10)
.dot(
vector2.factory(0, 10)
)
).toEqual(100);
expect(
vector2.factory(7, 8)
.dot(
vector2.factory(3, -3)
)
).toEqual(-3);
});
});
describe('magnitude', function () {
it('should return the magnitude of a vector', function () {
expect(
vector2.factory(10, 10)
.magnitude()
).toEqual(Math.sqrt(200));
expect(
vector2.factory(30, 5)
.magnitude()
).toEqual(Math.sqrt(925));
});
});
describe('distance', function () {
it('should find the distance between two points', function () {
expect(
vector2.factory(0, 0)
.distance(
vector2.factory(10, 0)
)
).toEqual(10);
expect(
vector2.factory(0, 0)
.distance(
vector2.factory(10, 10)
)
).toEqual(14.142135623730951);
expect(
vector2.factory(0, 0)
.distance(
vector2.factory(10, -10)
)
).toEqual(14.142135623730951);
});
});
describe('sameAs', function () {
it('should match the internal values within the vector', function () {
expect(
vector2.factory(0, 0)
.sameAs(
vector2.factory(0, 0)
)
).toBeTruthy();
expect(
vector2.factory(10, 58)
.sameAs(
vector2.factory(10, 58)
)
).toBeTruthy();
expect(
vector2.factory(0.324567865432345, 45.234565432)
.sameAs(
vector2.factory(0.324567865432345, 45.234565432)
)
).toBeTruthy();
expect(
vector2.factory(1234678432, 567876543)
.sameAs(
vector2.factory(1234678432, 567876543)
)
).toBeTruthy();
});
it('shouldnt match the following', function () {
expect(
vector2.factory(1234678432, 567876543)
.sameAs(
vector2.factory(765434567, 435363636)
)
).toBeFalsy();
expect(
vector2.factory(0.3435263463, 1)
.sameAs(
vector2.factory(99, 8)
)
).toBeFalsy();
expect(
vector2.factory(87628, 7654367.346743)
.sameAs(
vector2.factory(0.234567876543212, 34)
)
).toBeFalsy();
expect(
vector2.factory(45678543, 435.34565432)
.sameAs(
vector2.factory(3456.3265, 4567)
)
).toBeFalsy();
});
});
describe('rotate', function () {
it('should allow you to rotate a vector', function () {
/**
* We use translate to give us real world testable
* values, then the getIntegerCoords to avoid any
* rounding issues.
*/
expect(
vector2.factory(0, 0)
.translate(
vector2.factory(10, 0).rotate(0 * 0.0174532925),
10
)
.getIntegerCoords()
).toEqual([10, 0]);
expect(
vector2.factory(0, 0)
.translate(
vector2.factory(10, 0).rotate(90 * 0.0174532925),
10
)
.getIntegerCoords()
).toEqual([0, 10]);
expect(
vector2.factory(0, 0)
.translate(
vector2.factory(10, 0).rotate(180 * 0.0174532925),
10
)
.getIntegerCoords()
).toEqual([-10, 0]);
expect(
vector2.factory(0, 0)
.translate(
vector2.factory(10, 0).rotate(270 * 0.0174532925),
10
)
.getIntegerCoords()
).toEqual([0, -10]);
expect(
vector2.factory(0, 0)
.translate(
vector2.factory(10, 0).rotate(45 * 0.0174532925),
10
)
.getIntegerCoords()
).toEqual([7, 7]);
});
});
describe('angle', function () {
it('should return the angle between two vectors', function () {
var degRad = Math.PI / 180;
expect(
vector2.factory(0, 0)
.angle(
vector2.factory(10, 0)
)
).toEqual(0 * degRad);
expect(
vector2.factory(0, 0)
.angle(
vector2.factory(0, 10)
)
).toEqual(90 * degRad);
expect(
vector2.factory(0, 0)
.angle(
vector2.factory(-10, 0)
)
).toEqual(180 * degRad);
// For 270degrees I need to use -90 as the angle
// function retuns +-0/180
expect(
vector2.factory(0, 0)
.angle(
vector2.factory(0, -10)
)
).toEqual(-90 * degRad);
});
});
describe('rotateToFace', function () {
it('should rotate a vector so that it faces a specific location', function () {
expect(
vector2.factory(0, 0)
.translate(
vector2.factory(0, 0).rotateToFace(vector2.factory(1, 0)),
10
)
.getIntegerCoords()
).toEqual([10, 0]);
expect(
vector2.factory(0, 0)
.translate(
vector2.factory(0, 0).rotateToFace(vector2.factory(0, 1)),
10
)
.getIntegerCoords()
).toEqual([0, 10]);
expect(
vector2.factory(0, 0)
.translate(
vector2.factory(0, 0).rotateToFace(vector2.factory(-1, 0)),
10
)
.getIntegerCoords()
).toEqual([-10, 0]);
expect(
vector2.factory(0, 0)
.translate(
vector2.factory(0, 0).rotateToFace(vector2.factory(0, -1)),
10
)
.getIntegerCoords()
).toEqual([0, -10]);
expect(
vector2.factory(0, 0)
.translate(
vector2.factory(0, 0).rotateToFace(vector2.factory(1, 1)),
10
)
.getIntegerCoords()
).toEqual([7, 7]);
});
});
describe('toRadians', function () {
it('should convert degrees to radians', function () {
var v2 = vector2.factory,
degRad = Math.PI / 180;
expect(vector2.factory(0, 0).toRadians()).toEqual(0 * degRad);
expect(vector2.factory(0, 1).toRadians()).toEqual(90 * degRad);
expect(vector2.factory(-1, 0).toRadians()).toEqual(180 * degRad);
expect(vector2.factory(0, -1).toRadians()).toEqual(-90 * degRad);
});
});
describe('clone', function () {
it('should duplicate a vector2 into a new vector2', function () {
var v1 = vector2.factory(34, 66);
// v1 will === v1, which is true
expect(v1).toBe(v1);
// but a clone of v1 is not === v1
expect(v1.clone()).toNotBe(v1);
// Check that the values are the same
expect(
v1
.clone()
.sameAs(vector2.factory(34, 66))
).toBeTruthy();
});
});
});// end of exposed functions
});// end of factory
describe('lineIntersection', function () {
it('should detect a valid intersection between two lines in a cross', function () {
var
v1 = vector2.factory(0, 0),
v2 = vector2.factory(10, 10),
v3 = vector2.factory(10, 0),
v4 = vector2.factory(0, 10);
expect(
vector2.lineIntersection(v1, v2, v3, v4)
.getSimpleCoords()
).toEqual([5, 5]);
});
it('should detect a valid intersection between two lines in a cross', function () {
var
v1 = vector2.factory(5, 0),
v2 = vector2.factory(5, 10),
v3 = vector2.factory(0, 5),
v4 = vector2.factory(10, 5);
expect(
vector2.lineIntersection(v1, v2, v3, v4)
.getSimpleCoords()
).toEqual([5, 5]);
});
it("should't detect any intersection", function () {
var
v1 = vector2.factory(0, 0),
v2 = vector2.factory(0, 10),
v3 = vector2.factory(10, 0),
v4 = vector2.factory(10, 10);
expect(
vector2.lineIntersection(v1, v2, v3, v4)
).toBeFalsy();
});
it("should't detect any intersection", function () {
var
v1 = vector2.factory(0, 0),
v2 = vector2.factory(10, 10),
v3 = vector2.factory(10, 0),
v4 = vector2.factory(5.1, 4.9);
expect(
vector2.lineIntersection(v1, v2, v3, v4)
).toBeFalsy();
});
});// endof lineIntersection
describe('centroid', function () {
it('should find the centroid in a simple 2d polygone', function () {
var
v1 = vector2.factory(0, 0),
v2 = vector2.factory(10, 0),
v3 = vector2.factory(10, 10);
expect(
vector2.centroid(v1, v2, v3)
.getIntegerCoords()
).toEqual([7, 3]);
});
});// endof centroid
describe('isLeftOfEdge', function () {
it('should determine which side of a line a point is', function () {
expect(
vector2
.isLeftOfEdge(
vector2.factory(10, 1),
vector2.factory(20, 0),
vector2.factory(0, 0)
)
).toBeTruthy();
expect(
vector2
.isLeftOfEdge(
vector2.factory(10, -1),
vector2.factory(20, 0),
vector2.factory(0, 0)
)
).toBeFalsy();
expect(
vector2
.isLeftOfEdge(
vector2.factory(11, 10),
vector2.factory(10, 20),
vector2.factory(10, 0)
)
).toBeFalsy();
expect(
vector2
.isLeftOfEdge(
vector2.factory(9, 10),
vector2.factory(10, 20),
vector2.factory(10, 0)
)
).toBeTruthy();
});
});// endof isLeftOfEdge
});// it
});//a vector2
});//instanceof thorny
}());
Raw
vectors.test.js
(function(){
module("thorny.world.vector");
test("Testing vector creation", function() {
var v = $.thorny.world.vector(10, 15);
equals(v.x, 10, 'Check x value is sorted correctly');
equals(v.y, 15, 'Check y value is sorted correctly');
});
test('Test normalize function', function(){
var v = $.thorny.world.vector(10, 10).normalize();
equals(v.x, 0.7071067811865475, 'Check x value is sorted correctly');
equals(v.y, 0.7071067811865475, 'Check y value is sorted correctly');
var v = $.thorny.world.vector(-10, -10).normalize();
equals(v.x, -0.7071067811865475, 'Check x value is sorted correctly');
equals(v.y, -0.7071067811865475, 'Check y value is sorted correctly');
var v = $.thorny.world.vector(0, 10).normalize();
equals(v.x, 0, 'Check x value is sorted correctly');
equals(v.y, 1, 'Check y value is sorted correctly');
var v = $.thorny.world.vector(0, -10).normalize();
equals(v.x, 0, 'Check x value is sorted correctly');
equals(v.y, -1, 'Check y value is sorted correctly');
var v = $.thorny.world.vector(10, 0).normalize();
equals(v.x, 1, 'Check x value is sorted correctly');
equals(v.y, 0, 'Check y value is sorted correctly');
var v = $.thorny.world.vector(-10, 0).normalize();
equals(v.x, -1, 'Check x value is sorted correctly');
equals(v.y, 0, 'Check y value is sorted correctly');
});
test('Test add function', function(){
var v = $.thorny.world.vector(10, 10).add(
$.thorny.world.vector(10, 0)
);
equals(v.x, 20, 'Check x value is sorted correctly');
equals(v.y, 10, 'Check y value is sorted correctly');
var v = $.thorny.world.vector(0, 10).add(
$.thorny.world.vector(10, 0)
);
equals(v.x, 10, 'Check x value is sorted correctly');
equals(v.y, 10, 'Check y value is sorted correctly');
var v = $.thorny.world.vector(20, 10).add(
$.thorny.world.vector(-10, 0)
);
equals(v.x, 10, 'Check x value is sorted correctly');
equals(v.y, 10, 'Check y value is sorted correctly');
});
test('Test translate function', function(){
var v = $.thorny.world.vector(10, 10).translate(
$.thorny.world.vector(1, 0),
10
);
equals(v.x, 20, 'Check x value is sorted correctly');
equals(v.y, 10, 'Check y value is sorted correctly');
var v = $.thorny.world.vector(10, 10).translate(
$.thorny.world.vector(10, 10),
10
);
equals(v.x, 10 + (10 * 0.7071067811865475), 'Check x value is sorted correctly');
equals(v.y, 10 + (10 * 0.7071067811865475), 'Check y value is sorted correctly');
var v = $.thorny.world.vector(10, 10).translate(
$.thorny.world.vector(-10, -10),
10
);
equals(v.x, 10 - (10 * 0.7071067811865475), 'Check x value is sorted correctly');
equals(v.y, 10 - (10 * 0.7071067811865475), 'Check y value is sorted correctly');
});
test('Test cross function', function(){
var v = $.thorny.world.vector(10, 10).cross(
$.thorny.world.vector(10, 10)
);
equals(v, 0, 'Correct cross product');
var v = $.thorny.world.vector(10, 10).cross(
$.thorny.world.vector(0, 10)
);
equals(v, 100, 'Correct cross product');
});
test('Test dot function', function(){
var v = $.thorny.world.vector(10, 10).dot(
$.thorny.world.vector(10, 10)
);
equals(v, 200, 'Correct dot product');
var v = $.thorny.world.vector(10, 10).dot(
$.thorny.world.vector(0, 10)
);
equals(v, 100, 'Correct dot product');
});
test('Test magnitude function', function(){
equals(
$.thorny.world.vector(10, 10).magnitude(),
Math.sqrt(200),
'Correct magnitude'
);
equals(
$.thorny.world.vector(30, 5).magnitude(),
Math.sqrt((30*30) + (5*5)),
'Correct magnitude'
);
});
test('Test distance function', function(){
equals(
$.thorny.world.vector(0, 0).distance(
$.thorny.world.vector(0, 10)
),
10,
'Correct distance'
);
});
test('Test same as', function(){
var v = $.thorny.world.vector;
ok(v(0,0).sameAs(v(0,0)), 'Same');
ok(v(10,0).sameAs(v(10,0)), 'Same');
ok(v(0,10).sameAs(v(0,10)), 'Same');
ok(v(10,10).sameAs(v(10,10)), 'Same');
ok(v(10,110).sameAs(v(10,110)), 'Same');
ok(!v(10,0).sameAs(v(0,0)), 'Different');
ok(!v(0,10).sameAs(v(0,0)), 'Different');
ok(!v(10,10).sameAs(v(0,0)), 'Different');
ok(!v(10,110).sameAs(v(0,0)), 'Different');
});
test('Test rotate', function(){
var v = $.thorny.world.vector;
var rounder = function(vv){
return v(Math.round(vv.x), Math.round(vv.y));
};
var edge1 = v(0, 0);
var edge2 = v(10, 10);
var middle = v(5, 5);
same(
middle.rotate(1.5707963267948966),
v(-5, 5).normalize(),
'Rotated vector'
);
var x = middle.translate(
middle.rotate(1.5707963267948966),
7.0710678118654755
);
same(
rounder(middle.translate(
middle.rotate(1.5707963267948966),
7.0710678118654755
)),
v(0, 10),
'Find'
);
same(
rounder(middle.translate(
middle.rotate(1.5707963267948966),
-7.0710678118654755
)),
v(10, 0),
'Find'
);
same(
rounder(middle.translate(
middle.rotate(3.14159265),
-7.0710678118654755
)),
v(10, 10),
'Find'
);
same(
rounder(middle.translate(
middle.rotate(3.14159265),
7.0710678118654755
)),
v(0, 0),
'Find'
);
});
test('Test centroid', function(){
$.thorny.load();
var v = $.thorny.world.vector;
var v1 = v(0,0);
var v2 = v(10,0);
var v3 = v(0,10);
same(
v1.centroid(v2, v3),
v(3.333333333333333,3.333333333333333),
'Centroid found.'
);
});
})();
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