02.js

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/* * Complex.js: * This file defines a Complex class to represent complex numbers. * Recall that a complex number is the sum of a real number and an * imaginary number and that the imaginary number i is the * square root of -1. *//* * The first step in defining a class is defining the constructor * function of the class. This constructor should initialize any * instance properties of the object. These are the essential * "state variables" that make each instance of the class different. */function Complex(real, imaginary) {    this.x = real;       // The real part of the number    this.y = imaginary;  // The imaginary part of the number}/* * The second step in defining a class is defining its instance * methods (and possibly other properties) in the prototype object * of the constructor. Any properties defined in this object will * be inherited by all instances of the class. Note that instance * methods operate implicitly on the this keyword. For many methods, * no other arguments are needed. */// Return the magnitude of a complex number. This is defined// as its distance from the origin (0,0) of the complex plane.Complex.prototype.magnitude = function() {    return Math.sqrt(this.x*this.x + this.y*this.y);};// Return a complex number that is the negative of this one.Complex.prototype.negative = function() {    return new Complex(-this.x, -this.y);};// Add a complex number to this one and return the sum in a new object.Complex.prototype.add = function(that) {    return new Complex(this.x + that.x, this.y + that.y);}// Multiply this complex number by another and return the product as a// new Complex object.Complex.prototype.multiply = function(that) {    return new Complex(this.x * that.x - this.y * that.y,                       this.x * that.y + this.y * that.x);}// Convert a Complex object to a string in a useful way.// This is invoked when a Complex object is used as a string.Complex.prototype.toString = function() {    return "{" + this.x + "," + this.y + "}";};// Test whether this Complex object has the same value as another.Complex.prototype.equals = function(that) {    return this.x == that.x && this.y == that.y;}// Return the real portion of a complex number. This function// is invoked when a Complex object is treated as a primitive value.Complex.prototype.valueOf = function() { return this.x; }/* * The third step in defining a class is to define class methods, * constants, and any needed class properties as properties of the * constructor function itself (instead of as properties of the * prototype object of the constructor). Note that class methods * do not use the this keyword: they operate only on their arguments. */// Add two complex numbers and return the result.// Contrast this with the instance method add()Complex.sum = function (a, b) {    return new Complex(a.x + b.x, a.y + b.y);};// Multiply two complex numbers and return the product.// Contrast with the instance method multiply()Complex.product = function(a, b) {    return new Complex(a.x * b.x - a.y * b.y,                       a.x * b.y + a.y * b.x);};// Here are some useful predefined complex numbers.// They are defined as class properties, and their names are in uppercase// to indicate that they are intended to be constants (although it is not// possible to make JavaScript properties read-only).Complex.ZERO = new Complex(0,0);Complex.ONE = new Complex(1,0);Complex.I = new Complex(0,1);

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