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utils.js
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'use strict'
class Matrix {
constructor() {
if(typeof arguments[0] == "object" && arguments[0].length !== undefined) {
if(arguments[0].length == 9) {
console.log("Array 3x3!");
for(var i = 0; i < arguments[0].length; i++) {
if(typeof arguments[0][i] !== 'number') {
throw "more panic!"
}
}
this.size = 3;
this.array = arguments[0];
} else if (arguments[0].length == 16) {
console.log("Array 4x4!");
for(var i = 0; i < arguments[0].length; i++) {
if(typeof arguments[0][i] !== 'number') {
throw "more panic!"
}
}
this.size = 4;
this.array = arguments[0];
}
} else if (arguments.length == 9) {
this.size = 3;
this.array = [];
for(var i = 0; i < arguments.length; i++) {
if(typeof arguments[i] !== 'number') {
throw "PAnIC";
}
this.array.push(arguments[i]);
}
} else if (arguments.length == 12) {
this.size = 4;
this.array = [];
for(var i = 0; i < arguments.length; i++) {
if(typeof arguments[i] !== 'number') {
throw "PAnIC";
}
this.array.push(arguments[i]);
}
} else if (arguments[0] instanceof Matrix) {
this.size = arguments[0].size;
this.array = [];
for(var i = 0; i < arguments[0].array; i++) {
this.array[i] = arguments[0].array;
}
}
}
copy() {
return new Matrix();
}
addS(scalar) {
// scalar add
}
add(matrix) {
// cell-by-cell f0 = a0 + b0
}
subS(scalar) {
// scalar sub
}
sub(matrix) {
// cell-by-cell f0 = a0 - b0
}
multS(scalar) {
// Scalar mult
}
mult(matrix) {
// A crazy mess
}
divS(scalar) {
// Scalar division across all cells
}
div(matrix) {
// Multiply by the inverse of matrix
}
xRot(radians) {
}
yRot(radians) {
}
zRot(radians) {
}
translate(x, y, z) {
}
invert() {
}
transpose() {
}
scale(x, y, z) {
}
static makePerspective(fovRadians, aspectRatio, nearDist, farDist) {
}
static makeOrthographic(width, height, nearDist, farDist) {
}
static makeLookAt(eyeVector, centerVector, upVector) {
}
static identity(_s) {
_s = _s || 4;
var a = [];
for(var i = 0; i < _s * _s; ++i) {
if(Math.floor((i - (i % _s)) / _s) === i % _s) {
a.push(1);
} else {
a.push(0);
}
}
return new Matrix(a);
}
get determinant() {
// Useful, probably.
}
}
class Vector {
constructor(x, y, z) {
// Probably a better way to do this
// Also consider Z being optional in the constructor
if(x instanceof Vector) {
this.x = x.x;
this.y = x.y;
this.z = x.z;
} else if (typeof x == "object") {
if(typeof x.x == "number" && typeof x.y == "number" && typeof x.z == "number") {
this.x = x.x;
this.y = x.y;
this.z = x.z;
} else {
// Probably throw and error here
}
} else if (typeof x == "number" && typeof y == "number" && typeof z == "number") {
this.x = x;
this.y = y;
this.z = z;
} else {
// Probably throw an error here
}
}
add(vec) {
// Could we turn this into add(vec | scalar)?
// add(1) vs add(new Vector(1, 1, 1))?
// Confusing?
if(Vector.hasXYZ(vec)) {
this.x += vec.x;
this.y += vec.y;
this.z += vec.z;
return this;
} else {
// Probably error
}
}
addS(scalar) {
if(typeof scalar == "number") {
this.x += scalar;
this.y += scalar;
this.z += scalar;
return this;
} else {
// Probably error
}
}
sub(vec) {
if(Vector.hasXYZ(vec)) {
this.x -= vec.x;
this.y -= vec.y;
this.z -= vec.z;
return this;
} else {
// Error
}
}
subS(scalar) {
if(typeof scalar == "number") {
this.x -= scalar;
this.y -= scalar;
this.z -= scalar;
return this;
} else {
// Error
}
}
divS(scalar) {
if(typeof scalar == "number") {
this.x /= scalar;
this.y /= scalar;
this.z /= scalar;
return this;
} else {
// Error
}
}
multS(scalar) {
if(typeof scalar == "number") {
this.x *= scalar;
this.y *= scalar;
this.z *= scalar;
return this;
} else {
// Error
}
}
dot(vec) {
// vec mult -> scalar
if(Vector.hasXYZ(vec)) {
return this.x * vec.x + this.y * vec.y + this.z * vec.z;
} else {
// Error
}
}
cross(vec) {
// vec mult -> vec
if(Vector.hasXYZ(vec)) {
// xyzzy
return new Vector(this.y * vec.z - this.z * vec.y, this.z * vec.x - this.x * vec.z, this.x * vec.y - this.y * vec.x);
} else {
// Error
}
}
normalize() {
this.divS(this.magnitude);
return this;
}
rotate(radians) {
// Complicated...
}
max(num) {
if(typeof num == "number") {
if(this.magnitude < num) {
this.normalize().multS(num);
}
return this;
} else {
// Error
}
}
min(num) {
if(typeof num == "number") {
if(this.magnitude > num) {
this.normalize().multS(num);
}
return this;
} else {
// Error
}
}
projectionS(b) {
// α = a dot bUnit
return this.dot(b.normal);
}
projection(b) {
// a1 = α * bUnit
return new Vector(b.normal.multS(this.projectionS(b)));
}
rejection(b) {
// a2 = a - a1
return this.copy().sub(this.projection(b));
}
copy() {
return new Vector(this);
}
get magnitude() {
return Math.sqrt(Math.pow(this.x,2) + Math.pow(this.y,2) + Math.pow(this.z,2))
}
get normal() {
// .copy().normalize()
return this.copy().normalize();
}
get heading() {
// this is complicated?
//return Math.atan2()
}
static hasXYZ(vec) {
if(vec instanceof Vector) return true;
if (typeof vec.x == "number" && typeof vec.y == "number" && typeof vec.z == "number") return true;
return false;
}
}
class Rectangle {
constructor() {
}
contains(point) {
}
static From2Corners() {
}
get perimeter() {
}
get area() {
}
}
class Circle {
constructor() {
}
}