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```javascript
/**
* @file Binding.js
*/
/**
* Responsible for creating a binding between an element and a gesture.
* @class Binding
*/
class Binding {
/**
* Constructor function for the Binding class.
* @param {Element} element - The element to associate the gesture to.
* @param {Gesture} gesture - A instance of the Gesture type.
* @param {Function} handler - The function handler to execute when a
* gesture is recognized
* on the associated element.
* @param {Boolean} [capture=false] - A boolean signifying if the event is
* to be emitted during
* the capture or bubble phase.
* @param {Boolean} [bindOnce=false] - A boolean flag
* used for the bindOnce syntax.
*/
constructor(element, gesture, handler, capture, bindOnce) {
/**
* The element to associate the gesture to.
* @type {Element}
*/
this.element = element;
/**
* A instance of the Gesture type.
* @type {Gesture}
*/
this.gesture = gesture;
/**
* The function handler to execute when a gesture is
* recognized on the associated element.
* @type {Function}
*/
this.handler = handler;
/**
* A boolean signifying if the event is to be
* emitted during the capture or bubble phase.
* @type {Boolean}
*/
this.capture = (typeof capture !== 'undefined') ? capture : false;
/**
* A boolean flag used for the bindOnce syntax.
* @type {Boolean}
*/
this.bindOnce = (typeof bindOnce !== 'undefined') ? bindOnce : false;
}
}
export default Binding;
```
|
/content/code_sandbox/src/core/classes/Binding.js
|
javascript
| 2016-03-15T20:49:25
| 2024-08-16T15:00:47
|
zingtouch
|
zingchart/zingtouch
| 2,112
| 374
|
```javascript
/**
* @file Binder.js
*/
/**
* A chainable object that contains a single element to be bound upon.
* Called from ZingTouch.bind(), and is used to chain over gesture callbacks.
* @class
*/
class Binder {
/**
* Constructor function for the Binder class.
* @param {Element} element - The element to bind gestures to.
* @param {Boolean} bindOnce - Option to bind once and only emit
* the event once.
* @param {Object} state - The state of the Region that is being bound to.
* @return {Object} - Returns 'this' to be chained over and over again.
*/
constructor(element, bindOnce, state) {
/**
* The element to bind gestures to.
* @type {Element}
*/
this.element = element;
Object.keys(state.registeredGestures).forEach((key) => {
this[key] = (handler, capture) => {
state.addBinding(this.element, key, handler, capture, bindOnce);
return this;
};
});
}
}
export default Binder;
```
|
/content/code_sandbox/src/core/classes/Binder.js
|
javascript
| 2016-03-15T20:49:25
| 2024-08-16T15:00:47
|
zingtouch
|
zingchart/zingtouch
| 2,112
| 238
|
```javascript
/**
* @file ZingEvent.js
* Contains logic for ZingEvents
*/
import util from '../util.js';
const INITIAL_COORDINATE = 0;
/**
* An event wrapper that normalizes events across browsers and input devices
* @class ZingEvent
*/
class ZingEvent {
/**
* @constructor
* @param {Event} event - The event object being wrapped.
* @param {Array} event.touches - The number of touches on
* a screen (mobile only).
* @param {Object} event.changedTouches - The TouchList representing
* points that participated in the event.
* @param {Number} touchIdentifier - The index of touch if applicable
*/
constructor(event, touchIdentifier) {
/**
* The original event object.
* @type {Event}
*/
this.originalEvent = event;
/**
* The type of event or null if it is an event not predetermined.
* @see util.normalizeEvent
* @type {String | null}
*/
this.type = util.normalizeEvent[ event.type ];
/**
* The X coordinate for the event, based off of the client.
* @type {number}
*/
this.x = INITIAL_COORDINATE;
/**
* The Y coordinate for the event, based off of the client.
* @type {number}
*/
this.y = INITIAL_COORDINATE;
let eventObj;
if (event.touches && event.changedTouches) {
eventObj = Array.from(event.changedTouches).find( t => {
return t.identifier === touchIdentifier;
});
} else {
eventObj = event;
}
this.x = this.clientX = eventObj.clientX;
this.y = this.clientY = eventObj.clientY;
this.pageX = eventObj.pageX;
this.pageY = eventObj.pageY;
this.screenX = eventObj.screenX;
this.screenY = eventObj.screenY;
}
}
export default ZingEvent;
```
|
/content/code_sandbox/src/core/classes/ZingEvent.js
|
javascript
| 2016-03-15T20:49:25
| 2024-08-16T15:00:47
|
zingtouch
|
zingchart/zingtouch
| 2,112
| 425
|
```javascript
/**
* @file Region.js
*/
import Binder from './Binder.js';
import Gesture from './../../gestures/Gesture.js';
import arbiter from './../arbiter.js';
import State from './State.js';
/**
* Allows the user to specify a region to capture all events to feed ZingTouch
* into. This can be as narrow as the element itself, or as big as the document
* itself. The more specific an area, the better performant the overall
* application will perform. Contains API methods to bind/unbind specific
* elements to corresponding gestures. Also contains the ability to
* register/unregister new gestures.
* @class Region
*/
class Region {
/**
* Constructor function for the Region class.
* @param {Element} element - The element to capture all
* window events in that region to feed into ZingTouch.
* @param {boolean} [capture=false] - Whether the region listens for
* captures or bubbles.
* @param {boolean} [preventDefault=true] - Whether the default browser
* functionality should be disabled;
* @param {Number} id - The id of the region, assigned by the ZingTouch object
*/
constructor(element, capture, preventDefault, id) {
/**
* The identifier for the Region. This is assigned by the ZingTouch object
* and is used to hash gesture id for uniqueness.
* @type {Number}
*/
this.id = id;
/**
* The element being bound to.
* @type {Element}
*/
this.element = element;
/**
* Whether the region listens for captures or bubbles.
* @type {boolean}
*/
this.capture = (typeof capture !== 'undefined') ? capture : false;
/**
* Boolean to disable browser functionality such as scrolling and zooming
* over the region
* @type {boolean}
*/
this.preventDefault = (typeof preventDefault !== 'undefined') ?
preventDefault : true;
/**
* The internal state object for a Region.
* Keeps track of registered gestures, inputs, and events.
* @type {State}
*/
this.state = new State(id);
let eventNames = [];
if (window.PointerEvent && !window.TouchEvent) {
eventNames = [
'pointerdown',
'pointermove',
'pointerup',
];
} else {
eventNames = [
'mousedown',
'mousemove',
'mouseup',
'touchstart',
'touchmove',
'touchend',
];
}
// Bind detected browser events to the region element.
eventNames.forEach((name) => {
element.addEventListener(name, (e) => {
arbiter(e, this);
}, this.capture);
});
}
/**
* Bind an element to a registered/unregistered gesture with
* multiple function signatures.
* @example
* bind(element) - chainable
* @example
* bind(element, gesture, handler, [capture])
* @param {Element} element - The element object.
* @param {String|Object} [gesture] - Gesture key, or a Gesture object.
* @param {Function} [handler] - The function to execute when an event is
* emitted.
* @param {Boolean} [capture] - capture/bubble
* @param {Boolean} [bindOnce = false] - Option to bind once and
* only emit the event once.
* @return {Object} - a chainable object that has the same function as bind.
*/
bind(element, gesture, handler, capture, bindOnce) {
if (!element || (element && !element.tagName)) {
throw 'Bind must contain an element';
}
bindOnce = (typeof bindOnce !== 'undefined') ? bindOnce : false;
if (!gesture) {
return new Binder(element, bindOnce, this.state);
} else {
this.state.addBinding(element, gesture, handler, capture, bindOnce);
}
}
/**
* Bind an element and sets up actions to remove the binding once
* it has been emitted for the first time.
* 1. bind(element) - chainable
* 2. bind(element, gesture, handler, [capture])
* @param {Element} element - The element object.
* @param {String|Object} gesture - Gesture key, or a Gesture object.
* @param {Function} handler - The function to execute when an
* event is emitted.
* @param {Boolean} capture - capture/bubble
* @return {Object} - a chainable object that has the same function as bind.
*/
bindOnce(element, gesture, handler, capture) {
this.bind(element, gesture, handler, capture, true);
}
/**
* Unbinds an element from either the specified gesture
* or all if no element is specified.
* @param {Element} element -The element to remove.
* @param {String | Object} [gesture] - A String representing the gesture,
* or the actual object being used.
* @return {Array} - An array of Bindings that were unbound to the element;
*/
unbind(element, gesture) {
let bindings = this.state.retrieveBindingsByElement(element);
let unbound = [];
bindings.forEach((binding) => {
if (gesture) {
if (typeof gesture === 'string' &&
this.state.registeredGestures[gesture]) {
let registeredGesture = this.state.registeredGestures[gesture];
if (registeredGesture.id === binding.gesture.id) {
element.removeEventListener(
binding.gesture.getId(),
binding.handler, binding.capture);
unbound.push(binding);
}
}
} else {
element.removeEventListener(
binding.gesture.getId(),
binding.handler,
binding.capture);
unbound.push(binding);
}
});
return unbound;
}
/* unbind*/
/**
* Registers a new gesture with an assigned key
* @param {String} key - The key used to register an element to that gesture
* @param {Gesture} gesture - A gesture object
*/
register(key, gesture) {
if (typeof key !== 'string') {
throw new Error('Parameter key is an invalid string');
}
if (!gesture instanceof Gesture) {
throw new Error('Parameter gesture is an invalid Gesture object');
}
gesture.setType(key);
this.state.registerGesture(gesture, key);
}
/* register*/
/**
* Un-registers a gesture from the Region's state such that
* it is no longer emittable.
* Unbinds all events that were registered with the type.
* @param {String|Object} key - Gesture key that was used to
* register the object
* @return {Object} - The Gesture object that was unregistered
* or null if it could not be found.
*/
unregister(key) {
this.state.bindings.forEach((binding) => {
if (binding.gesture.getType() === key) {
binding.element.removeEventListener(binding.gesture.getId(),
binding.handler, binding.capture);
}
});
let registeredGesture = this.state.registeredGestures[key];
delete this.state.registeredGestures[key];
return registeredGesture;
}
}
export default Region;
```
|
/content/code_sandbox/src/core/classes/Region.js
|
javascript
| 2016-03-15T20:49:25
| 2024-08-16T15:00:47
|
zingtouch
|
zingchart/zingtouch
| 2,112
| 1,601
|
```javascript
/**
* @file Pan.js
* Contains the Pan class
*/
import Gesture from './Gesture.js';
import util from './../core/util.js';
const DEFAULT_INPUTS = 1;
const DEFAULT_MIN_THRESHOLD = 1;
/**
* A Pan is defined as a normal movement in any direction on a screen.
* Pan gestures do not track start events and can interact with distance gestures
* @class Pan
*/
class Pan extends Gesture {
/**
* Constructor function for the Pan class.
* @param {Object} [options] - The options object.
* @param {Number} [options.numInputs=1] - Number of inputs for the
* Pan gesture.
* @param {Number} [options.threshold=1] - The minimum number of
* pixels the input has to move to trigger this gesture.
* @param {Function} [options.onStart] - The on start callback
* @param {Function} [options.onMove] - The on move callback
* @param {Function} [options.onEnd] - The on end callback
*/
constructor(options) {
super();
/**
* The type of the Gesture.
* @type {String}
*/
this.type = 'pan';
/**
* The number of inputs to trigger a Pan can be variable,
* and the maximum number being a factor of the browser.
* @type {Number}
*/
this.numInputs = (options && options.numInputs) ?
options.numInputs : DEFAULT_INPUTS;
/**
* The minimum amount in pixels the pan must move until it is fired.
* @type {Number}
*/
this.threshold = (options && options.threshold) ?
options.threshold : DEFAULT_MIN_THRESHOLD;
/**
* The on start callback
*/
if (options && options.onStart && typeof options.onStart === 'function') {
this.onStart = options.onStart
}
/**
* The on move callback
*/
if (options && options.onMove && typeof options.onMove === 'function') {
this.onMove = options.onMove
}
/**
* The on end callback
*/
if (options && options.onEnd && typeof options.onEnd === 'function') {
this.onEnd = options.onEnd
}
}
/**
* Event hook for the start of a gesture. Marks each input as active,
* so it can invalidate any end events.
* @param {Array} inputs
*/
start(inputs) {
inputs.forEach((input) => {
const progress = input.getGestureProgress(this.getId());
progress.active = true;
progress.lastEmitted = {
x: input.current.x,
y: input.current.y,
};
});
if(this.onStart) {
this.onStart(inputs);
}
}
/**
* move() - Event hook for the move of a gesture.
* Fired whenever the input length is met, and keeps a boolean flag that
* the gesture has fired at least once.
* @param {Array} inputs - The array of Inputs on the screen
* @param {Object} state - The state object of the current region.
* @param {Element} element - The element associated to the binding.
* @return {Object} - Returns the distance in pixels between the two inputs.
*/
move(inputs, state, element) {
if (this.numInputs !== inputs.length) return null;
const output = {
data: [],
};
inputs.forEach( (input, index) => {
const progress = input.getGestureProgress(this.getId());
const distanceFromLastEmit = util.distanceBetweenTwoPoints(
progress.lastEmitted.x,
input.current.x,
progress.lastEmitted.y,
input.current.y
);
const reachedThreshold = distanceFromLastEmit >= this.threshold;
if (progress.active && reachedThreshold) {
output.data[index] = packData( input, progress );
progress.lastEmitted.x = input.current.x;
progress.lastEmitted.y = input.current.y;
}
});
if(this.onMove) {
this.onMove(inputs, state, element, output);
}
return output;
function packData( input, progress ) {
const distanceFromOrigin = util.distanceBetweenTwoPoints(
input.initial.x,
input.current.x,
input.initial.y,
input.current.y
);
const currentDistance = util.distanceBetweenTwoPoints(
progress.lastEmitted.x,
input.current.x,
progress.lastEmitted.y,
input.current.y
);
const directionFromOrigin = util.getAngle(
input.initial.x,
input.initial.y,
input.current.x,
input.current.y
);
const currentDirection = util.getAngle(
progress.lastEmitted.x,
progress.lastEmitted.y,
input.current.x,
input.current.y
);
const change = {
x: input.current.x - progress.lastEmitted.x,
y: input.current.y - progress.lastEmitted.y,
};
const currentDegree = currentDirection * 180 / Math.PI
const degreeFromOrigin = directionFromOrigin * 180 / Math.PI
return {
distanceFromOrigin,
currentDistance,
directionFromOrigin,
currentDirection,
change,
degreeFromOrigin,
currentDegree
};
}
}
/* move*/
/**
* end() - Event hook for the end of a gesture. If the gesture has at least
* fired once, then it ends on the first end event such that any remaining
* inputs will not trigger the event until all inputs have reached the
* touchend event. Any touchend->touchstart events that occur before all
* inputs are fully off the screen should not fire.
* @param {Array} inputs - The array of Inputs on the screen
* @return {null} - null if the gesture is not to be emitted,
* Object with information otherwise.
*/
end(inputs) {
inputs.forEach((input) => {
const progress = input.getGestureProgress(this.getId());
progress.active = false;
});
if(this.onEnd) {
this.onEnd(inputs);
}
return null;
}
/* end*/
}
export default Pan;
```
|
/content/code_sandbox/src/gestures/Pan.js
|
javascript
| 2016-03-15T20:49:25
| 2024-08-16T15:00:47
|
zingtouch
|
zingchart/zingtouch
| 2,112
| 1,340
|
```javascript
/**
* @file State.js
*/
import Gesture from './../../gestures/Gesture.js';
import Pan from './../../gestures/Pan.js';
import Distance from './../../gestures/Distance.js';
import Rotate from './../../gestures/Rotate.js';
import Swipe from './../../gestures/Swipe.js';
import Tap from './../../gestures/Tap.js';
import Binding from './Binding.js';
import Input from './Input.js';
import util from './../util.js';
const DEFAULT_MOUSE_ID = 0;
/**
* Creates an object related to a Region's state,
* and contains helper methods to update and clean up different states.
*/
class State {
/**
* Constructor for the State class.
* @param {String} regionId - The id the region this state is bound to.
*/
constructor(regionId) {
/**
* The id for the region this state is bound to.
* @type {String}
*/
this.regionId = regionId;
/**
* An array of current and recently inactive
* Input objects related to a gesture.
* @type {Input}
*/
this.inputs = [];
/**
* An array of Binding objects; The list of relations between elements,
* their gestures, and the handlers.
* @type {Binding}
*/
this.bindings = [];
/**
* The number of gestures that have been registered with this state
* @type {Number}
*/
this.numGestures = 0;
/**
* A key/value map all the registered gestures for the listener.
* Note: Can only have one gesture registered to one key.
* @type {Object}
*/
this.registeredGestures = {};
this.registerGesture(new Pan(), 'pan');
this.registerGesture(new Rotate(), 'rotate');
this.registerGesture(new Distance(), 'distance');
this.registerGesture(new Swipe(), 'swipe');
this.registerGesture(new Tap(), 'tap');
}
/**
* Creates a new binding with the given element and gesture object.
* If the gesture object provided is unregistered, it's reference
* will be saved in as a binding to be later referenced.
* @param {Element} element - The element the gesture is bound to.
* @param {String|Object} gesture - Either a name of a registered gesture,
* or an unregistered Gesture object.
* @param {Function} handler - The function handler to be called
* when the event is emitted. Used to bind/unbind.
* @param {Boolean} capture - Whether the gesture is to be
* detected in the capture of bubble phase. Used to bind/unbind.
* @param {Boolean} bindOnce - Option to bind once and
* only emit the event once.
*/
addBinding(element, gesture, handler, capture, bindOnce) {
let boundGesture;
// Error type checking.
if (element && typeof element.tagName === 'undefined') {
throw new Error('Parameter element is an invalid object.');
}
if (typeof handler !== 'function') {
throw new Error('Parameter handler is invalid.');
}
if (typeof gesture === 'string' &&
Object.keys(this.registeredGestures).indexOf(gesture) === -1) {
throw new Error('Parameter ' + gesture + ' is not a registered gesture');
} else if (typeof gesture === 'object' && !(gesture instanceof Gesture)) {
throw new Error('Parameter for the gesture is not of a Gesture type');
}
if (typeof gesture === 'string') {
boundGesture = this.registeredGestures[gesture];
} else {
boundGesture = gesture;
if (boundGesture.id === '') {
this.assignGestureId(boundGesture);
}
}
this.bindings.push(new Binding(element, boundGesture,
handler, capture, bindOnce));
element.addEventListener(boundGesture.getId(), handler, capture);
}
/**
* Retrieves the Binding by which an element is associated to.
* @param {Element} element - The element to find bindings to.
* @return {Array} - An array of Bindings to which that element is bound
*/
retrieveBindingsByElement(element) {
return this.bindings.filter( b => b.element === element );
}
/**
* Retrieves all bindings based upon the initial X/Y position of the inputs.
* e.g. if gesture started on the correct target element,
* but diverted away into the correct region, this would still be valid.
* @return {Array} - An array of Bindings to which that element is bound
*/
retrieveBindingsByInitialPos() {
return this.bindings.filter( binding => {
return this.inputs.some( input => {
return util.isInside(input.initial.x, input.initial.y, binding.element);
});
});
}
/**
* Updates the inputs with new information based upon a new event being fired.
* @param {Event} event - The event being captured.
* @param {Element} regionElement - The element where
* this current Region is bound to.
* @return {boolean} - returns true for a successful update,
* false if the event is invalid.
*/
updateInputs(event, regionElement) {
let eventType = (event.touches) ?
'TouchEvent' : ((event.pointerType) ? 'PointerEvent' : 'MouseEvent');
switch (eventType) {
case 'TouchEvent':
Array.from(event.changedTouches).forEach( touch => {
update(event, this, touch.identifier, regionElement);
});
break;
case 'PointerEvent':
update(event, this, event.pointerId, regionElement);
break;
case 'MouseEvent':
default:
update(event, this, DEFAULT_MOUSE_ID, regionElement);
break;
}
return true;
function update(event, state, identifier, regionElement) {
const eventType = util.normalizeEvent[ event.type ];
const input = findInputById(state.inputs, identifier);
// A starting input was not cleaned up properly and still exists.
if (eventType === 'start' && input) {
state.resetInputs();
return;
}
// An input has moved outside the region.
if (eventType !== 'start' &&
input &&
!util.isInside(input.current.x, input.current.y, regionElement)) {
state.resetInputs();
return;
}
if (eventType !== 'start' && !input) {
state.resetInputs();
return;
}
if (eventType === 'start') {
state.inputs.push(new Input(event, identifier));
} else {
input.update(event, identifier);
}
}
}
/**
* Removes all inputs from the state, allowing for a new gesture.
*/
resetInputs() {
this.inputs = [];
}
/**
* Counts the number of active inputs at any given time.
* @return {Number} - The number of active inputs.
*/
numActiveInputs() {
const endType = this.inputs.filter((input) => {
return input.current.type !== 'end';
});
return endType.length;
}
/**
* Register the gesture to the current region.
* @param {Object} gesture - The gesture to register
* @param {String} key - The key to define the new gesture as.
*/
registerGesture(gesture, key) {
this.assignGestureId(gesture);
this.registeredGestures[key] = gesture;
}
/**
* Tracks the gesture to this state object to become uniquely identifiable.
* Useful for nested Regions.
* @param {Gesture} gesture - The gesture to track
*/
assignGestureId(gesture) {
gesture.setId(this.regionId + '-' + this.numGestures++);
}
}
/**
* Searches through each input, comparing the browser's identifier key
* for touches, to the stored one in each input
* @param {Array} inputs - The array of inputs in state.
* @param {String} identifier - The identifier the browser has assigned.
* @return {Input} - The input object with the corresponding identifier,
* null if it did not find any.
*/
function findInputById(inputs, identifier) {
return inputs.find( i => i.identifier === identifier );
}
export default State;
```
|
/content/code_sandbox/src/core/classes/State.js
|
javascript
| 2016-03-15T20:49:25
| 2024-08-16T15:00:47
|
zingtouch
|
zingchart/zingtouch
| 2,112
| 1,783
|
```javascript
/**
* @file Rotate.js
* Contains the Rotate class
*/
import Gesture from './Gesture.js';
import util from './../core/util.js';
const DEFAULT_INPUTS = 2;
/**
* A Rotate is defined as two inputs moving about a circle,
* maintaining a relatively equal radius.
* @class Rotate
*/
class Rotate extends Gesture {
/**
* Constructor function for the Rotate class.
*/
constructor(options = {}) {
super();
/**
* The type of the Gesture.
* @type {String}
*/
this.type = 'rotate';
/**
* The number of touches required to emit Rotate events.
* @type {Number}
*/
this.numInputs = options.numInputs || DEFAULT_INPUTS;
/**
* The on move callback
*/
if (options && options.onMove && typeof options.onMove === 'function') {
this.onMove = options.onMove
}
}
/**
* move() - Event hook for the move of a gesture. Obtains the midpoint of two
* the two inputs and calculates the projection of the right most input along
* a unit circle to obtain an angle. This angle is compared to the previously
* calculated angle to output the change of distance, and is compared to the
* initial angle to output the distance from the initial angle to the current
* angle.
* @param {Array} inputs - The array of Inputs on the screen
* @param {Object} state - The state object of the current listener.
* @param {Element} element - The element associated to the binding.
* @return {null} - null if this event did not occur
* @return {Object} obj.angle - The current angle along the unit circle
* @return {Object} obj.distanceFromOrigin - The angular distance travelled
* from the initial right most point.
* @return {Object} obj.distanceFromLast - The change of angle between the
* last position and the current position.
*/
move(inputs, state, element) {
const numActiveInputs = state.numActiveInputs();
if (this.numInputs !== numActiveInputs) return null;
let currentPivot, initialPivot;
let input;
if (numActiveInputs === 1) {
const bRect = element.getBoundingClientRect();
currentPivot = {
x: bRect.left + bRect.width / 2,
y: bRect.top + bRect.height / 2,
};
initialPivot = currentPivot;
input = inputs[0];
} else {
currentPivot = util.getMidpoint(
inputs[0].current.x,
inputs[1].current.x,
inputs[0].current.y,
inputs[1].current.y);
input = util.getRightMostInput(inputs);
}
// Translate the current pivot point.
const currentAngle = util.getAngle(
currentPivot.x,
currentPivot.y,
input.current.x,
input.current.y);
const progress = input.getGestureProgress(this.getId());
if (!progress.initialAngle) {
progress.initialAngle = progress.previousAngle = currentAngle;
progress.distance = progress.change = 0;
} else {
progress.change = util.getAngularDistance(
progress.previousAngle,
currentAngle);
progress.distance = progress.distance + progress.change;
}
progress.previousAngle = currentAngle;
const rotate = {
angle: currentAngle,
distanceFromOrigin: progress.distance,
distanceFromLast: progress.change,
};
if(this.onMove) {
this.onMove(inputs, state, element, rotate);
}
return rotate;
}
/* move*/
}
export default Rotate;
```
|
/content/code_sandbox/src/gestures/Rotate.js
|
javascript
| 2016-03-15T20:49:25
| 2024-08-16T15:00:47
|
zingtouch
|
zingchart/zingtouch
| 2,112
| 793
|
```javascript
/**
* @file Swipe.js
* Contains the Swipe class
*/
import Gesture from './Gesture.js';
import util from './../core/util.js';
const DEFAULT_INPUTS = 1;
const DEFAULT_MAX_REST_TIME = 100;
const DEFAULT_ESCAPE_VELOCITY = 0.2;
const DEFAULT_TIME_DISTORTION = 100;
const DEFAULT_MAX_PROGRESS_STACK = 10;
/**
* A swipe is defined as input(s) moving in the same direction in an relatively
* increasing velocity and leaving the screen at some point before it drops
* below it's escape velocity.
* @class Swipe
*/
class Swipe extends Gesture {
/**
* Constructor function for the Swipe class.
* @param {Object} [options] - The options object.
* @param {Number} [options.numInputs] - The number of inputs to trigger a
* Swipe can be variable, and the maximum number being a factor of the browser
* move and current move events.
* @param {Number} [options.maxRestTime] - The maximum resting time a point
* has between it's last
* @param {Number} [options.escapeVelocity] - The minimum velocity the input
* has to be at to emit a swipe.
* @param {Number} [options.timeDistortion] - (EXPERIMENTAL) A value of time
* in milliseconds to distort between events.
* @param {Number} [options.maxProgressStack] - (EXPERIMENTAL)The maximum
* amount of move events to keep
* track of for a swipe.
*/
constructor(options) {
super();
/**
* The type of the Gesture
* @type {String}
*/
this.type = 'swipe';
/**
* The number of inputs to trigger a Swipe can be variable,
* and the maximum number being a factor of the browser.
* @type {Number}
*/
this.numInputs = (options && options.numInputs) ?
options.numInputs : DEFAULT_INPUTS;
/**
* The maximum resting time a point has between it's last move and
* current move events.
* @type {Number}
*/
this.maxRestTime = (options && options.maxRestTime) ?
options.maxRestTime : DEFAULT_MAX_REST_TIME;
/**
* The minimum velocity the input has to be at to emit a swipe.
* This is useful for determining the difference between
* a swipe and a pan gesture.
* @type {number}
*/
this.escapeVelocity = (options && options.escapeVelocity) ?
options.escapeVelocity : DEFAULT_ESCAPE_VELOCITY;
/**
* (EXPERIMENTAL) A value of time in milliseconds to distort between events.
* Browsers do not accurately measure time with the Date constructor in
* milliseconds, so consecutive events sometimes display the same timestamp
* but different x/y coordinates. This will distort a previous time
* in such cases by the timeDistortion's value.
* @type {number}
*/
this.timeDistortion = (options && options.timeDistortion) ?
options.timeDistortion : DEFAULT_TIME_DISTORTION;
/**
* (EXPERIMENTAL) The maximum amount of move events to keep track of for a
* swipe. This helps give a more accurate estimate of the user's velocity.
* @type {number}
*/
this.maxProgressStack = (options && options.maxProgressStack) ?
options.maxProgressStack : DEFAULT_MAX_PROGRESS_STACK;
/**
* The on move callback
*/
if (options && options.onMove && typeof options.onMove === 'function') {
this.onMove = options.onMove
}
/**
* The on end callback
*/
if (options && options.onEnd && typeof options.onEnd === 'function') {
this.onEnd = options.onEnd
}
}
/**
* Event hook for the move of a gesture. Captures an input's x/y coordinates
* and the time of it's event on a stack.
* @param {Array} inputs - The array of Inputs on the screen.
* @param {Object} state - The state object of the current region.
* @param {Element} element - The element associated to the binding.
* @return {null} - Swipe does not emit from a move.
*/
move(inputs, state, element) {
if (this.numInputs === inputs.length) {
for (let i = 0; i < inputs.length; i++) {
let progress = inputs[i].getGestureProgress(this.getId());
if (!progress.moves) {
progress.moves = [];
}
progress.moves.push({
time: new Date().getTime(),
x: inputs[i].current.x,
y: inputs[i].current.y,
});
if (progress.length > this.maxProgressStack) {
progress.moves.shift();
}
}
}
if(this.onMove) {
this.onMove(inputs, state, element);
}
return null;
}
/* move*/
/**
* Determines if the input's history validates a swipe motion.
* Determines if it did not come to a complete stop (maxRestTime), and if it
* had enough of a velocity to be considered (ESCAPE_VELOCITY).
* @param {Array} inputs - The array of Inputs on the screen
* @return {null|Object} - null if the gesture is not to be emitted,
* Object with information otherwise.
*/
end(inputs) {
if (this.numInputs === inputs.length) {
let output = {
data: [],
};
for (let i = 0; i < inputs.length; i++) {
// Determine if all input events are on the 'end' event.
if (inputs[i].current.type !== 'end') {
return;
}
let progress = inputs[i].getGestureProgress(this.getId());
if (progress.moves && progress.moves.length > 2) {
// CHECK : Return if the input has not moved in maxRestTime ms.
let currentMove = progress.moves.pop();
if ((new Date().getTime()) - currentMove.time > this.maxRestTime) {
return null;
}
let lastMove;
let index = progress.moves.length - 1;
/* Date is unreliable, so we retrieve the last move event where
the time is not the same. */
while (index !== -1) {
if (progress.moves[index].time !== currentMove.time) {
lastMove = progress.moves[index];
break;
}
index--;
}
/* If the date is REALLY unreliable, we apply a time distortion
to the last event.
*/
if (!lastMove) {
lastMove = progress.moves.pop();
lastMove.time += this.timeDistortion;
}
var velocity = util.getVelocity(lastMove.x, lastMove.y, lastMove.time,
currentMove.x, currentMove.y, currentMove.time);
output.data[i] = {
velocity: velocity,
distance: util.distanceBetweenTwoPoints(lastMove.x, currentMove.x, lastMove.y, currentMove.y),
duration: currentMove.time - lastMove.time,
currentDirection: util.getAngle(
lastMove.x,
lastMove.y,
currentMove.x,
currentMove.y),
};
}
}
for (var i = 0; i < output.data.length; i++) {
if (output.data[i].velocity < this.escapeVelocity) {
return null;
}
}
if (output.data.length > 0) {
if(this.onEnd) {
this.onEnd(inputs, output);
}
return output;
}
}
return null;
}
/* end*/
}
export default Swipe;
```
|
/content/code_sandbox/src/gestures/Swipe.js
|
javascript
| 2016-03-15T20:49:25
| 2024-08-16T15:00:47
|
zingtouch
|
zingchart/zingtouch
| 2,112
| 1,677
|
```javascript
/**
* @file Gesture.js
* Contains the Gesture class
*/
import util from './../core/util.js';
/**
* The Gesture class that all gestures inherit from.
*/
class Gesture {
/**
* Constructor function for the Gesture class.
* @class Gesture
*/
constructor() {
/**
* The generic string type of gesture ('expand'|'distance'|
* 'rotate'|'swipe'|'tap').
* @type {String}
*/
this.type = null;
/**
* The unique identifier for each gesture determined at bind time by the
* state object. This allows for distinctions across instance variables of
* Gestures that are created on the fly (e.g. Tap-1, Tap-2, etc).
* @type {String|null}
*/
this.id = null;
}
/**
* Set the type of the gesture to be called during an event
* @param {String} type - The unique identifier of the gesture being created.
*/
setType(type) {
this.type = type;
}
/**
* getType() - Returns the generic type of the gesture
* @return {String} - The type of gesture
*/
getType() {
return this.type;
}
/**
* Set the id of the gesture to be called during an event
* @param {String} id - The unique identifier of the gesture being created.
*/
setId(id) {
this.id = id;
}
/**
* Return the id of the event. If the id does not exist, return the type.
* @return {String}
*/
getId() {
return (this.id !== null) ? this.id : this.type;
}
/**
* Updates internal properties with new ones, only if the properties exist.
* @param {Object} object
*/
update(object) {
Object.keys(object).forEach( key => {
this[key] = object[key];
});
}
/**
* start() - Event hook for the start of a gesture
* @param {Array} inputs - The array of Inputs on the screen
* @param {Object} state - The state object of the current region.
* @param {Element} element - The element associated to the binding.
* @return {null|Object} - Default of null
*/
start(inputs, state, element) {
return null;
}
/**
* move() - Event hook for the move of a gesture
* @param {Array} inputs - The array of Inputs on the screen
* @param {Object} state - The state object of the current region.
* @param {Element} element - The element associated to the binding.
* @return {null|Object} - Default of null
*/
move(inputs, state, element) {
return null;
}
/**
* end() - Event hook for the move of a gesture
* @param {Array} inputs - The array of Inputs on the screen
* @return {null|Object} - Default of null
*/
end(inputs) {
return null;
}
/**
* isValid() - Pre-checks to ensure the invariants of a gesture are satisfied.
* @param {Array} inputs - The array of Inputs on the screen
* @param {Object} state - The state object of the current region.
* @param {Element} element - The element associated to the binding.
* @return {boolean} - If the gesture is valid
*/
isValid(inputs, state, element) {
return inputs.every( input => {
return util.isInside(input.initial.x, input.initial.y, element);
});
}
}
export default Gesture;
```
|
/content/code_sandbox/src/gestures/Gesture.js
|
javascript
| 2016-03-15T20:49:25
| 2024-08-16T15:00:47
|
zingtouch
|
zingchart/zingtouch
| 2,112
| 811
|
```javascript
/**
* @file Distance.js
* Contains the abstract Distance class
*/
import Gesture from './Gesture.js';
import util from './../core/util.js';
const DEFAULT_INPUTS = 2;
const DEFAULT_MIN_THRESHOLD = 1;
/**
* A Distance is defined as two inputs moving either together or apart.
* @class Distance
*/
class Distance extends Gesture {
/**
* Constructor function for the Distance class.
* @param {Object} options
* @param {Object} [options] - The options object.
* @param {Number} [options.threshold=1] - The minimum number of
* pixels the input has to move to trigger this gesture.
* @param {Function} [options.onStart] - The on start callback
* @param {Function} [options.onMove] - The on move callback
*/
constructor(options) {
super();
/**
* The type of the Gesture.
* @type {String}
*/
this.type = 'distance';
/**
* The minimum amount in pixels the inputs must move until it is fired.
* @type {Number}
*/
this.threshold = (options && options.threshold) ?
options.threshold : DEFAULT_MIN_THRESHOLD;
/**
* The on start callback
*/
if (options && options.onStart && typeof options.onStart === 'function') {
this.onStart = options.onStart
}
/**
* The on move callback
*/
if (options && options.onMove && typeof options.onMove === 'function') {
this.onMove = options.onMove
}
}
/**
* Event hook for the start of a gesture. Initialized the lastEmitted
* gesture and stores it in the first input for reference events.
* @param {Array} inputs
* @param {Object} state - The state object of the current region.
* @param {Element} element - The element associated to the binding.
*/
start(inputs, state, element) {
if(!this.isValid(inputs, state, element)) {
return null;
}
if (inputs.length === DEFAULT_INPUTS) {
// Store the progress in the first input.
const progress = inputs[0].getGestureProgress(this.getId());
progress.lastEmittedDistance = util.distanceBetweenTwoPoints(
inputs[0].current.x,
inputs[1].current.x,
inputs[0].current.y,
inputs[1].current.y);
}
if(this.onStart) {
this.onStart(inputs, state, element);
}
}
/**
* Event hook for the move of a gesture.
* Determines if the two points are moved in the expected direction relative
* to the current distance and the last distance.
* @param {Array} inputs - The array of Inputs on the screen.
* @param {Object} state - The state object of the current region.
* @param {Element} element - The element associated to the binding.
* @return {Object | null} - Returns the distance in pixels between two inputs
*/
move(inputs, state, element) {
if (state.numActiveInputs() === DEFAULT_INPUTS) {
const currentDistance = util.distanceBetweenTwoPoints(
inputs[0].current.x,
inputs[1].current.x,
inputs[0].current.y,
inputs[1].current.y);
const centerPoint = util.getMidpoint(
inputs[0].current.x,
inputs[1].current.x,
inputs[0].current.y,
inputs[1].current.y);
// Progress is stored in the first input.
const progress = inputs[0].getGestureProgress(this.getId());
const change = currentDistance - progress.lastEmittedDistance;
if (Math.abs(change) >= this.threshold) {
progress.lastEmittedDistance = currentDistance;
const movement = {
distance: currentDistance,
center: centerPoint,
change,
};
if(this.onMove) {
this.onMove(inputs, state, element, movement);
}
return movement;
}
}
return null;
}
}
export default Distance;
```
|
/content/code_sandbox/src/gestures/Distance.js
|
javascript
| 2016-03-15T20:49:25
| 2024-08-16T15:00:47
|
zingtouch
|
zingchart/zingtouch
| 2,112
| 882
|
```javascript
/**
* @file Tap.js
* Contains the Tap class
*/
import Gesture from './Gesture.js';
import util from './../core/util.js';
const DEFAULT_MIN_DELAY_MS = 0;
const DEFAULT_MAX_DELAY_MS = 300;
const DEFAULT_INPUTS = 1;
const DEFAULT_MOVE_PX_TOLERANCE = 10;
/**
* A Tap is defined as a touchstart to touchend event in quick succession.
* @class Tap
*/
class Tap extends Gesture {
/**
* Constructor function for the Tap class.
* @param {Object} [options] - The options object.
* @param {Number} [options.minDelay=0] - The minimum delay between a
* touchstart and touchend can be configured in milliseconds.
* @param {Number} [options.maxDelay=300] - The maximum delay between a
* touchstart and touchend can be configured in milliseconds.
* @param {Number} [options.numInputs=1] - Number of inputs for Tap gesture.
* @param {Number} [options.tolerance=10] - The tolerance in pixels
* a user can move.
* @param {Function} [options.onStart] - The on start callback
* @param {Function} [options.onMove] - The on move callback
* @param {Function} [options.onEnd] - The on end callback
*/
constructor(options) {
super();
/**
* The type of the Gesture.
* @type {String}
*/
this.type = 'tap';
/**
* The minimum amount between a touchstart and a touchend can be configured
* in milliseconds. The minimum delay starts to count down when the expected
* number of inputs are on the screen, and ends when ALL inputs are off the
* screen.
* @type {Number}
*/
this.minDelay = (options && options.minDelay) ?
options.minDelay : DEFAULT_MIN_DELAY_MS;
/**
* The maximum delay between a touchstart and touchend can be configured in
* milliseconds. The maximum delay starts to count down when the expected
* number of inputs are on the screen, and ends when ALL inputs are off the
* screen.
* @type {Number}
*/
this.maxDelay = (options && options.maxDelay) ?
options.maxDelay : DEFAULT_MAX_DELAY_MS;
/**
* The number of inputs to trigger a Tap can be variable,
* and the maximum number being a factor of the browser.
* @type {Number}
*/
this.numInputs = (options && options.numInputs) ?
options.numInputs : DEFAULT_INPUTS;
/**
* A move tolerance in pixels allows some slop between a user's start to end
* events. This allows the Tap gesture to be triggered more easily.
* @type {number}
*/
this.tolerance = (options && options.tolerance) ?
options.tolerance : DEFAULT_MOVE_PX_TOLERANCE;
/**
* The on end callback
*/
if (options && options.onEnd && typeof options.onEnd === 'function') {
this.onEnd = options.onEnd
}
}
/* constructor*/
/**
* Event hook for the start of a gesture. Keeps track of when the inputs
* trigger the start event.
* @param {Array} inputs - The array of Inputs on the screen.
* @return {null} - Tap does not trigger on a start event.
*/
start(inputs) {
if (inputs.length === this.numInputs) {
inputs.forEach((input) => {
let progress = input.getGestureProgress(this.getId());
progress.start = new Date().getTime();
});
}
return null;
}
/* start*/
/**
* Event hook for the move of a gesture. The Tap event reaches here if the
* user starts to move their input before an 'end' event is reached.
* @param {Array} inputs - The array of Inputs on the screen.
* @param {Object} state - The state object of the current region.
* @param {Element} element - The element associated to the binding.
* @return {null} - Tap does not trigger on a move event.
*/
move(inputs, state, element) {
for (let i = 0; i < inputs.length; i++) {
if (inputs[i].getCurrentEventType() === 'move') {
let current = inputs[i].current;
let previous = inputs[i].previous;
if (!util.isWithin(
current.x,
current.y,
previous.x,
previous.y,
this.tolerance)) {
let type = this.type;
inputs.forEach(function(input) {
input.resetProgress(type);
});
return null;
}
}
}
return null;
}
/* move*/
/**
* Event hook for the end of a gesture.
* Determines if this the tap event can be fired if the delay and tolerance
* constraints are met. Also waits for all of the inputs to be off the screen
* before determining if the gesture is triggered.
* @param {Array} inputs - The array of Inputs on the screen.
* @return {null|Object} - null if the gesture is not to be emitted,
* Object with information otherwise. Returns the interval time between start
* and end events.
*/
end(inputs) {
if (inputs.length !== this.numInputs) {
return null;
}
let startTime = Number.MAX_VALUE;
for (let i = 0; i < inputs.length; i++) {
if (inputs[i].getCurrentEventType() !== 'end') {
return null;
}
let progress = inputs[i].getGestureProgress(this.getId());
if (!progress.start) {
return null;
}
// Find the most recent input's startTime
if (progress.start < startTime) {
startTime = progress.start;
}
}
let interval = new Date().getTime() - startTime;
if ((this.minDelay <= interval) && (this.maxDelay >= interval)) {
const timing = { interval }
if(this.onEnd) {
this.onEnd(inputs, timing);
}
return timing;
} else {
let type = this.type;
inputs.forEach(function(input) {
input.resetProgress(type);
});
return null;
}
}
/* end*/
}
export default Tap;
```
|
/content/code_sandbox/src/gestures/Tap.js
|
javascript
| 2016-03-15T20:49:25
| 2024-08-16T15:00:47
|
zingtouch
|
zingchart/zingtouch
| 2,112
| 1,384
|
```unknown
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{Object} The coordinates of the midpoint.\n */\n getMidpoint(x0, x1, y0, y1) {\n return {\n x: ((x0 + x1) / 2),\n y: ((y0 + y1) / 2),\n };\n },\n /**\n * Calculates the angle between the projection and an origin point.\n * | (projectionX,projectionY)\n * | /\n * | /\n * | /\n * | / \n * | /__________\n * (originX, originY)\n * @param {number} originX\n * @param {number} originY\n * @param {number} projectionX\n * @param {number} projectionY\n * @return {number} - Degree along the unit circle where the project lies\n */\n getAngle(originX, originY, projectionX, projectionY) {\n let angle = Math.atan2(projectionY - originY, projectionX - originX) *\n ((HALF_CIRCLE_DEGREES) / Math.PI);\n return CIRCLE_DEGREES - ((angle < 0) ? (CIRCLE_DEGREES + angle) : angle);\n },\n /**\n * Calculates the angular distance in degrees between two angles\n * along the unit circle\n * @param {number} start - The starting point in degrees\n * @param {number} end - The ending point in degrees\n * @return {number} The number of degrees between the\n * starting point and ending point. Negative degrees denote a clockwise\n * direction, and positive a counter-clockwise direction.\n */\n getAngularDistance(start, end) {\n let angle = (end - start) % CIRCLE_DEGREES;\n let sign = (angle < 0) ? 1 : -1;\n angle = Math.abs(angle);\n return (angle > HALF_CIRCLE_DEGREES) ?\n sign * (CIRCLE_DEGREES - angle) : sign * angle;\n },\n\n /**\n * Calculates the velocity of pixel/milliseconds between two points\n * @param {Number} startX\n * @param {Number} startY\n * @param {Number} startTime\n * @param {Number} endX\n * @param {Number} endY\n * @param {Number} endTime\n * @return {Number} velocity of px/time\n */\n getVelocity(startX, startY, startTime, endX, endY, endTime) {\n let distance = this.distanceBetweenTwoPoints(startX, endX, startY, endY);\n return (distance / (endTime - startTime));\n },\n\n /**\n * Returns the farthest right input\n * @param {Array} inputs\n * @return {Object}\n */\n getRightMostInput(inputs) {\n let rightMost = null;\n let distance = Number.MIN_VALUE;\n inputs.forEach((input) => {\n if (input.initial.x > distance) {\n rightMost = input;\n }\n });\n return rightMost;\n },\n\n /**\n * Determines is the value is an integer and not a floating point\n * @param {Mixed} value\n * @return {boolean}\n */\n isInteger(value) {\n return (typeof value === 'number') && (value % 1 === 0);\n },\n\n /**\n * Determines if the x,y position of the input is within then target.\n * @param {Number} x -clientX\n * @param {Number} y -clientY\n * @param {Element} target\n * @return {Boolean}\n */\n isInside(x, y, target) {\n const rect = target.getBoundingClientRect();\n return ((x > rect.left && x < rect.left + rect.width) &&\n (y > rect.top && y < rect.top + rect.height));\n },\n /**\n * Polyfill for event.propagationPath\n * @param {Event} event\n * @return {Array}\n */\n getPropagationPath(event) {\n if (event.path) {\n return event.path;\n } else {\n let path = [];\n let node = event.target;\n while (node != document) {\n path.push(node);\n node = node.parentNode;\n }\n\n return path;\n }\n },\n\n /**\n * Retrieve the index inside the path array\n * @param {Array} path\n * @param {Element} element\n * @return {Element}\n */\n getPathIndex(path, element) {\n let index = path.length;\n\n path.forEach((obj, i) => {\n if (obj === element) {\n index = i;\n }\n });\n\n return index;\n },\n\n setMSPreventDefault(element) {\n element.style['-ms-content-zooming'] = 'none';\n element.style['touch-action'] = 'none';\n },\n\n removeMSPreventDefault(element) {\n element.style['-ms-content-zooming'] = '';\n element.style['touch-action'] = '';\n },\n\n preventDefault(event) {\n if (event.preventDefault) {\n event.preventDefault();\n } else {\n event.returnValue = false;\n }\n }\n};\n\nexport default util;\n","/**\n * @file Gesture.js\n * Contains the Gesture class\n */\n\nimport util from './../core/util.js';\n\n/**\n * The Gesture class that all gestures inherit from.\n */\nclass Gesture {\n /**\n * Constructor function for the Gesture class.\n * @class Gesture\n */\n constructor() {\n /**\n * The generic string type of gesture ('expand'|'distance'|\n * 'rotate'|'swipe'|'tap').\n * @type {String}\n */\n this.type = null;\n\n /**\n * The unique identifier for each gesture determined at bind time by the\n * state object. This allows for distinctions across instance variables of\n * Gestures that are created on the fly (e.g. Tap-1, Tap-2, etc).\n * @type {String|null}\n */\n this.id = null;\n }\n\n /**\n * Set the type of the gesture to be called during an event\n * @param {String} type - The unique identifier of the gesture being created.\n */\n setType(type) {\n this.type = type;\n }\n\n /**\n * getType() - Returns the generic type of the gesture\n * @return {String} - The type of gesture\n */\n getType() {\n return this.type;\n }\n\n /**\n * Set the id of the gesture to be called during an event\n * @param {String} id - The unique identifier of the gesture being created.\n */\n setId(id) {\n this.id = id;\n }\n\n /**\n * Return the id of the event. If the id does not exist, return the type.\n * @return {String}\n */\n getId() {\n return (this.id !== null) ? this.id : this.type;\n }\n\n /**\n * Updates internal properties with new ones, only if the properties exist.\n * @param {Object} object\n */\n update(object) {\n Object.keys(object).forEach( key => {\n this[key] = object[key];\n });\n }\n\n /**\n * start() - Event hook for the start of a gesture\n * @param {Array} inputs - The array of Inputs on the screen\n\t * @param {Object} state - The state object of the current region.\n\t * @param {Element} element - The element associated to the binding.\n * @return {null|Object} - Default of null\n */\n start(inputs, state, element) {\n return null;\n }\n\n /**\n * move() - Event hook for the move of a gesture\n * @param {Array} inputs - The array of Inputs on the screen\n * @param {Object} state - The state object of the current region.\n * @param {Element} element - The element associated to the binding.\n * @return {null|Object} - Default of null\n */\n move(inputs, state, element) {\n return null;\n }\n\n /**\n * end() - Event hook for the move of a gesture\n * @param {Array} inputs - The array of Inputs on the screen\n * @return {null|Object} - Default of null\n */\n end(inputs) {\n return null;\n }\n\n\t/**\n\t* isValid() - Pre-checks to ensure the invariants of a gesture are satisfied.\n\t* @param {Array} inputs - The array of Inputs on the screen\n\t* @param {Object} state - The state object of the current region.\n\t* @param {Element} element - The element associated to the binding.\n\t* @return {boolean} - If the gesture is valid\n\t*/\n\tisValid(inputs, state, element) {\n return inputs.every( input => {\n return util.isInside(input.initial.x, input.initial.y, element);\n });\n }\n\n}\n\nexport default Gesture;\n","/**\n * @file dispatcher.js\n * Contains logic for the dispatcher\n */\n\n/**\n * Emits data at the target element if available, and bubbles up from\n * the target to the parent until the document has been reached.\n * Called from the arbiter.\n * @param {Binding} binding - An object of type Binding\n * @param {Object} data - The metadata computed by the gesture being emitted.\n * @param {Array} events - An array of ZingEvents\n * corresponding to the inputs on the screen.\n */\nfunction dispatcher(binding, data, events) {\n data.events = events;\n\n const newEvent = new CustomEvent(binding.gesture.getId(), {\n detail: data,\n bubbles: true,\n cancelable: true,\n });\n emitEvent(binding.element, newEvent, binding);\n}\n\n/**\n * Emits the new event. Unbinds the event if the event was registered\n * at bindOnce.\n * @param {Element} target - Element object to emit the event to.\n * @param {Event} event - The CustomEvent to emit.\n * @param {Binding} binding - An object of type Binding\n */\nfunction emitEvent(target, event, binding) {\n target.dispatchEvent(event);\n if (binding.bindOnce) {\n ZingTouch.unbind(binding.element, binding.gesture.getType());\n }\n}\n\nexport default dispatcher;\n","/**\n * @file interpreter.js\n * Contains logic for the interpreter\n */\n\nimport util from './util.js';\n\n/**\n * Receives an event and an array of Bindings (element -> gesture handler)\n * to determine what event will be emitted. Called from the arbiter.\n * @param {Array} bindings - An array containing Binding objects\n * that associate the element to an event handler.\n * @param {Object} event - The event emitted from the window.\n * @param {Object} state - The state object of the current listener.\n * @return {Object | null} - Returns an object containing a binding and\n * metadata, or null if a gesture will not be emitted.\n */\nfunction interpreter(bindings, event, state) {\n const evType = util.normalizeEvent[ event.type ];\n const events = state.inputs.map( input => input.current );\n\n const candidates = bindings.reduce( (accumulator, binding) => {\n const data = binding.gesture[evType](state.inputs, state, binding.element);\n if (data) accumulator.push({ binding, data, events });\n return accumulator;\n }, []);\n\n return candidates;\n}\n\nexport default interpreter;\n","/**\n * @file arbiter.js\n * Contains logic for the dispatcher\n */\n\nimport dispatcher from './dispatcher.js';\nimport interpreter from './interpreter.js';\nimport util from './util.js';\n\n/**\n * Function that handles event flow, negotiating with the interpreter,\n * and dispatcher.\n * 1. Receiving all touch events in the window.\n * 2. Determining which gestures are linked to the target element.\n * 3. Negotiating with the Interpreter what event should occur.\n * 4. Sending events to the dispatcher to emit events to the target.\n * @param {Event} event - The event emitted from the window object.\n * @param {Object} region - The region object of the current listener.\n */\nfunction arbiter(event, region) {\n const state = region.state;\n const eventType = util.normalizeEvent[ event.type ];\n\n /*\n Return if a gesture is not in progress and won't be. Also catches the case\n where a previous event is in a partial state (2 finger pan, waits for both\n inputs to reach touchend)\n */\n if (state.inputs.length === 0 && eventType !== 'start') {\n return;\n }\n\n /*\n Check for 'stale' or events that lost focus\n (e.g. a pan goes off screen/off region.)\n Does not affect mobile devices.\n */\n if (typeof event.buttons !== 'undefined' &&\n eventType !== 'end' &&\n event.buttons === 0) {\n state.resetInputs();\n return;\n }\n\n // Update the state with the new events. If the event is stopped, return;\n if (!state.updateInputs(event, region.element)) {\n return;\n }\n\n // Retrieve the initial target from any one of the inputs\n const bindings = state.retrieveBindingsByInitialPos();\n if (bindings.length > 0) {\n if (region.preventDefault) {\n util.setMSPreventDefault(region.element);\n util.preventDefault(event);\n } else {\n util.removeMSPreventDefault(region.element);\n }\n\n const toBeDispatched = {};\n const gestures = interpreter(bindings, event, state);\n\n /* Determine the deepest path index to emit the event\n from, to avoid duplicate events being fired. */\n\n const path = util.getPropagationPath(event);\n gestures.forEach((gesture) => {\n const id = gesture.binding.gesture.getId();\n if (toBeDispatched[id]) {\n if (util.getPathIndex(path, gesture.binding.element) <\n util.getPathIndex(path, toBeDispatched[id].binding.element)) {\n toBeDispatched[id] = gesture;\n }\n } else {\n toBeDispatched[id] = gesture;\n }\n });\n\n Object.keys(toBeDispatched).forEach((index) => {\n const gesture = toBeDispatched[index];\n dispatcher(gesture.binding, gesture.data, gesture.events);\n });\n }\n\n let endCount = 0;\n state.inputs.forEach((input) => {\n if (input.getCurrentEventType() === 'end') {\n endCount++;\n }\n });\n\n if (endCount === state.inputs.length) {\n state.resetInputs();\n }\n}\n\nexport default arbiter;\n","/**\n * @file Pan.js\n * Contains the Pan class\n */\n\nimport Gesture from './Gesture.js';\nimport util from './../core/util.js';\n\nconst DEFAULT_INPUTS = 1;\nconst DEFAULT_MIN_THRESHOLD = 1;\n\n/**\n * A Pan is defined as a normal movement in any direction on a screen.\n * Pan gestures do not track start events and can interact with distance gestures\n * @class Pan\n */\nclass Pan extends Gesture {\n /**\n * Constructor function for the Pan class.\n * @param {Object} [options] - The options object.\n * @param {Number} [options.numInputs=1] - Number of inputs for the\n * Pan gesture.\n * @param {Number} [options.threshold=1] - The minimum number of\n * pixels the input has to move to trigger this gesture.\n */\n constructor(options) {\n super();\n\n /**\n * The type of the Gesture.\n * @type {String}\n */\n this.type = 'pan';\n\n /**\n * The number of inputs to trigger a Pan can be variable,\n * and the maximum number being a factor of the browser.\n * @type {Number}\n */\n this.numInputs = (options && options.numInputs) ?\n options.numInputs : DEFAULT_INPUTS;\n\n /**\n * The minimum amount in pixels the pan must move until it is fired.\n * @type {Number}\n */\n this.threshold = (options && options.threshold) ?\n options.threshold : DEFAULT_MIN_THRESHOLD;\n }\n\n /**\n * Event hook for the start of a gesture. Marks each input as active,\n * so it can invalidate any end events.\n * @param {Array} inputs\n */\n start(inputs) {\n inputs.forEach((input) => {\n const progress = input.getGestureProgress(this.getId());\n progress.active = true;\n progress.lastEmitted = {\n x: input.current.x,\n y: input.current.y,\n };\n });\n }\n\n /**\n * move() - Event hook for the move of a gesture.\n * Fired whenever the input length is met, and keeps a boolean flag that\n * the gesture has fired at least once.\n * @param {Array} inputs - The array of Inputs on the screen\n * @param {Object} state - The state object of the current region.\n * @param {Element} element - The element associated to the binding.\n * @return {Object} - Returns the distance in pixels between the two inputs.\n */\n move(inputs, state, element) {\n if (this.numInputs !== inputs.length) return null;\n\n const output = {\n data: [],\n };\n\n inputs.forEach( (input, index) => {\n const progress = input.getGestureProgress(this.getId());\n const distanceFromLastEmit = util.distanceBetweenTwoPoints(\n progress.lastEmitted.x,\n progress.lastEmitted.y,\n input.current.x,\n input.current.y\n );\n const reachedThreshold = distanceFromLastEmit >= this.threshold;\n\n if (progress.active && reachedThreshold) {\n output.data[index] = packData( input, progress );\n progress.lastEmitted.x = input.current.x;\n progress.lastEmitted.y = input.current.y;\n }\n });\n\n return output;\n\n function packData( input, progress ) {\n const distanceFromOrigin = util.distanceBetweenTwoPoints(\n input.initial.x,\n input.current.x,\n input.initial.y,\n input.current.y\n );\n const directionFromOrigin = util.getAngle(\n input.initial.x,\n input.initial.y,\n input.current.x,\n input.current.y\n );\n const currentDirection = util.getAngle(\n progress.lastEmitted.x,\n progress.lastEmitted.y,\n input.current.x,\n input.current.y\n );\n const change = {\n x: input.current.x - progress.lastEmitted.x,\n y: input.current.y - progress.lastEmitted.y,\n };\n\n return {\n distanceFromOrigin,\n directionFromOrigin,\n currentDirection,\n change,\n };\n }\n }\n\n /* move*/\n\n /**\n * end() - Event hook for the end of a gesture. If the gesture has at least\n * fired once, then it ends on the first end event such that any remaining\n * inputs will not trigger the event until all inputs have reached the\n * touchend event. Any touchend->touchstart events that occur before all\n * inputs are fully off the screen should not fire.\n * @param {Array} inputs - The array of Inputs on the screen\n * @return {null} - null if the gesture is not to be emitted,\n * Object with information otherwise.\n */\n end(inputs) {\n inputs.forEach((input) => {\n const progress = input.getGestureProgress(this.getId());\n progress.active = false;\n });\n return null;\n }\n\n /* end*/\n}\n\nexport default Pan;\n","/**\n * @file Distance.js\n * Contains the abstract Distance class\n */\n\nimport Gesture from './Gesture.js';\nimport util from './../core/util.js';\n\nconst DEFAULT_INPUTS = 2;\nconst DEFAULT_MIN_THRESHOLD = 1;\n\n/**\n * A Distance is defined as two inputs moving either together or apart.\n * @class Distance\n */\nclass Distance extends Gesture {\n /**\n * Constructor function for the Distance class.\n * @param {Object} options\n */\n constructor(options) {\n super();\n\n /**\n * The type of the Gesture.\n * @type {String}\n */\n this.type = 'distance';\n\n /**\n * The minimum amount in pixels the inputs must move until it is fired.\n * @type {Number}\n */\n this.threshold = (options && options.threshold) ?\n options.threshold : DEFAULT_MIN_THRESHOLD;\n }\n\n /**\n * Event hook for the start of a gesture. Initialized the lastEmitted\n * gesture and stores it in the first input for reference events.\n * @param {Array} inputs\n */\n start(inputs, state, element) {\n if(!this.isValid(inputs, state, element)) {\n return null;\n }\n if (inputs.length === DEFAULT_INPUTS) {\n // Store the progress in the first input.\n const progress = inputs[0].getGestureProgress(this.type);\n progress.lastEmittedDistance = util.distanceBetweenTwoPoints(\n inputs[0].current.x,\n inputs[1].current.x,\n inputs[0].current.y,\n inputs[1].current.y);\n }\n }\n\n /**\n * Event hook for the move of a gesture.\n * Determines if the two points are moved in the expected direction relative\n * to the current distance and the last distance.\n * @param {Array} inputs - The array of Inputs on the screen.\n * @param {Object} state - The state object of the current region.\n * @param {Element} element - The element associated to the binding.\n * @return {Object | null} - Returns the distance in pixels between two inputs\n */\n move(inputs, state, element) {\n if (state.numActiveInputs() === DEFAULT_INPUTS) {\n const currentDistance = util.distanceBetweenTwoPoints(\n inputs[0].current.x,\n inputs[1].current.x,\n inputs[0].current.y,\n inputs[1].current.y);\n const centerPoint = util.getMidpoint(\n inputs[0].current.x,\n inputs[1].current.x,\n inputs[0].current.y,\n inputs[1].current.y);\n\n // Progress is stored in the first input.\n const progress = inputs[0].getGestureProgress(this.type);\n const change = currentDistance - progress.lastEmittedDistance;\n\n if (Math.abs(change) >= this.threshold) {\n progress.lastEmittedDistance = currentDistance;\n return {\n distance: currentDistance,\n center: centerPoint,\n change,\n };\n }\n }\n\n return null;\n }\n}\n\nexport default Distance;\n","/**\n * @file Rotate.js\n * Contains the Rotate class\n */\n\nimport Gesture from './Gesture.js';\nimport util from './../core/util.js';\n\nconst DEFAULT_INPUTS = 2;\n\n/**\n * A Rotate is defined as two inputs moving about a circle,\n * maintaining a relatively equal radius.\n * @class Rotate\n */\nclass Rotate extends Gesture {\n /**\n * Constructor function for the Rotate class.\n */\n constructor(options = {}) {\n super();\n\n /**\n * The type of the Gesture.\n * @type {String}\n */\n this.type = 'rotate';\n\n /**\n * The number of touches required to emit Rotate events.\n * @type {Number}\n */\n this.numInputs = options.numInputs || DEFAULT_INPUTS;\n }\n\n /**\n * move() - Event hook for the move of a gesture. Obtains the midpoint of two\n * the two inputs and calculates the projection of the right most input along\n * a unit circle to obtain an angle. This angle is compared to the previously\n * calculated angle to output the change of distance, and is compared to the\n * initial angle to output the distance from the initial angle to the current\n * angle.\n * @param {Array} inputs - The array of Inputs on the screen\n * @param {Object} state - The state object of the current listener.\n * @param {Element} element - The element associated to the binding.\n * @return {null} - null if this event did not occur\n * @return {Object} obj.angle - The current angle along the unit circle\n * @return {Object} obj.distanceFromOrigin - The angular distance travelled\n * from the initial right most point.\n * @return {Object} obj.distanceFromLast - The change of angle between the\n * last position and the current position.\n */\n move(inputs, state, element) {\n const numActiveInputs = state.numActiveInputs();\n if (this.numInputs !== numActiveInputs) return null;\n\n let currentPivot, initialPivot;\n let input;\n if (numActiveInputs === 1) {\n const bRect = element.getBoundingClientRect();\n currentPivot = {\n x: bRect.left + bRect.width / 2,\n y: bRect.top + bRect.height / 2,\n };\n initialPivot = currentPivot;\n input = inputs[0];\n } else {\n currentPivot = util.getMidpoint(\n inputs[0].current.x,\n inputs[1].current.x,\n inputs[0].current.y,\n inputs[1].current.y);\n input = util.getRightMostInput(inputs);\n }\n\n // Translate the current pivot point.\n const currentAngle = util.getAngle(\n currentPivot.x, \n currentPivot.y,\n input.current.x,\n input.current.y);\n\n const progress = input.getGestureProgress(this.getId());\n if (!progress.initialAngle) {\n progress.initialAngle = progress.previousAngle = currentAngle;\n progress.distance = progress.change = 0;\n } else {\n progress.change = util.getAngularDistance(\n progress.previousAngle,\n currentAngle);\n progress.distance = progress.distance + progress.change;\n }\n\n progress.previousAngle = currentAngle;\n\n return {\n angle: currentAngle,\n distanceFromOrigin: progress.distance,\n distanceFromLast: progress.change,\n };\n }\n\n /* move*/\n}\n\nexport default Rotate;\n","/**\n * @file Swipe.js\n * Contains the Swipe class\n */\n\nimport Gesture from './Gesture.js';\nimport util from './../core/util.js';\n\nconst DEFAULT_INPUTS = 1;\nconst DEFAULT_MAX_REST_TIME = 100;\nconst DEFAULT_ESCAPE_VELOCITY = 0.2;\nconst DEFAULT_TIME_DISTORTION = 100;\nconst DEFAULT_MAX_PROGRESS_STACK = 10;\n\n/**\n * A swipe is defined as input(s) moving in the same direction in an relatively\n * increasing velocity and leaving the screen at some point before it drops\n * below it's escape velocity.\n * @class Swipe\n */\nclass Swipe extends Gesture {\n\n /**\n * Constructor function for the Swipe class.\n * @param {Object} [options] - The options object.\n * @param {Number} [options.numInputs] - The number of inputs to trigger a\n * Swipe can be variable, and the maximum number being a factor of the browser\n * move and current move events.\n * @param {Number} [options.maxRestTime] - The maximum resting time a point\n * has between it's last\n * @param {Number} [options.escapeVelocity] - The minimum velocity the input\n * has to be at to emit a swipe.\n * @param {Number} [options.timeDistortion] - (EXPERIMENTAL) A value of time\n * in milliseconds to distort between events.\n * @param {Number} [options.maxProgressStack] - (EXPERIMENTAL)The maximum\n * amount of move events to keep\n * track of for a swipe.\n */\n constructor(options) {\n super();\n /**\n * The type of the Gesture\n * @type {String}\n */\n this.type = 'swipe';\n\n /**\n * The number of inputs to trigger a Swipe can be variable,\n * and the maximum number being a factor of the browser.\n * @type {Number}\n */\n this.numInputs = (options && options.numInputs) ?\n options.numInputs : DEFAULT_INPUTS;\n\n /**\n * The maximum resting time a point has between it's last move and\n * current move events.\n * @type {Number}\n */\n this.maxRestTime = (options && options.maxRestTime) ?\n options.maxRestTime : DEFAULT_MAX_REST_TIME;\n\n /**\n * The minimum velocity the input has to be at to emit a swipe.\n * This is useful for determining the difference between\n * a swipe and a pan gesture.\n * @type {number}\n */\n this.escapeVelocity = (options && options.escapeVelocity) ?\n options.escapeVelocity : DEFAULT_ESCAPE_VELOCITY;\n\n /**\n * (EXPERIMENTAL) A value of time in milliseconds to distort between events.\n * Browsers do not accurately measure time with the Date constructor in\n * milliseconds, so consecutive events sometimes display the same timestamp\n * but different x/y coordinates. This will distort a previous time\n * in such cases by the timeDistortion's value.\n * @type {number}\n */\n this.timeDistortion = (options && options.timeDistortion) ?\n options.timeDistortion : DEFAULT_TIME_DISTORTION;\n\n /**\n * (EXPERIMENTAL) The maximum amount of move events to keep track of for a\n * swipe. This helps give a more accurate estimate of the user's velocity.\n * @type {number}\n */\n this.maxProgressStack = (options && options.maxProgressStack) ?\n options.maxProgressStack : DEFAULT_MAX_PROGRESS_STACK;\n }\n\n /**\n * Event hook for the move of a gesture. Captures an input's x/y coordinates\n * and the time of it's event on a stack.\n * @param {Array} inputs - The array of Inputs on the screen.\n * @param {Object} state - The state object of the current region.\n * @param {Element} element - The element associated to the binding.\n * @return {null} - Swipe does not emit from a move.\n */\n move(inputs, state, element) {\n if (this.numInputs === inputs.length) {\n for (let i = 0; i < inputs.length; i++) {\n let progress = inputs[i].getGestureProgress(this.getId());\n if (!progress.moves) {\n progress.moves = [];\n }\n\n progress.moves.push({\n time: new Date().getTime(),\n x: inputs[i].current.x,\n y: inputs[i].current.y,\n });\n\n if (progress.length > this.maxProgressStack) {\n progress.moves.shift();\n }\n }\n }\n\n return null;\n }\n\n /* move*/\n\n /**\n * Determines if the input's history validates a swipe motion.\n * Determines if it did not come to a complete stop (maxRestTime), and if it\n * had enough of a velocity to be considered (ESCAPE_VELOCITY).\n * @param {Array} inputs - The array of Inputs on the screen\n * @return {null|Object} - null if the gesture is not to be emitted,\n * Object with information otherwise.\n */\n end(inputs) {\n if (this.numInputs === inputs.length) {\n let output = {\n data: [],\n };\n\n for (var i = 0; i < inputs.length; i++) {\n // Determine if all input events are on the 'end' event.\n if (inputs[i].current.type !== 'end') {\n return;\n }\n\n let progress = inputs[i].getGestureProgress(this.getId());\n if (progress.moves && progress.moves.length > 2) {\n // CHECK : Return if the input has not moved in maxRestTime ms.\n\n let currentMove = progress.moves.pop();\n if ((new Date().getTime()) - currentMove.time > this.maxRestTime) {\n return null;\n }\n\n let lastMove;\n let index = progress.moves.length - 1;\n\n /* Date is unreliable, so we retrieve the last move event where\n the time is not the same. */\n while (index !== -1) {\n if (progress.moves[index].time !== currentMove.time) {\n lastMove = progress.moves[index];\n break;\n }\n\n index--;\n }\n\n /* If the date is REALLY unreliable, we apply a time distortion\n to the last event.\n */\n if (!lastMove) {\n lastMove = progress.moves.pop();\n lastMove.time += this.timeDistortion;\n }\n\n var velocity = util.getVelocity(lastMove.x, lastMove.y, lastMove.time,\n currentMove.x, currentMove.y, currentMove.time);\n\n output.data[i] = {\n velocity: velocity,\n distance: util.distanceBetweenTwoPoints(lastMove.x, currentMove.x, lastMove.y, currentMove.y),\n duration: currentMove.time - lastMove.time,\n currentDirection: util.getAngle(\n lastMove.x,\n lastMove.y,\n currentMove.x,\n currentMove.y),\n };\n }\n }\n\n for (var i = 0; i < output.data.length; i++) {\n if (velocity < this.escapeVelocity) {\n return null;\n }\n }\n\n if (output.data.length > 0) {\n return output;\n }\n }\n\n return null;\n }\n\n /* end*/\n}\n\nexport default Swipe;\n","/**\n * @file Tap.js\n * Contains the Tap class\n */\n\nimport Gesture from './Gesture.js';\nimport util from './../core/util.js';\n\nconst DEFAULT_MIN_DELAY_MS = 0;\nconst DEFAULT_MAX_DELAY_MS = 300;\nconst DEFAULT_INPUTS = 1;\nconst DEFAULT_MOVE_PX_TOLERANCE = 10;\n\n/**\n * A Tap is defined as a touchstart to touchend event in quick succession.\n * @class Tap\n */\nclass Tap extends Gesture {\n /**\n * Constructor function for the Tap class.\n * @param {Object} [options] - The options object.\n * @param {Number} [options.minDelay=0] - The minimum delay between a\n * touchstart and touchend can be configured in milliseconds.\n * @param {Number} [options.maxDelay=300] - The maximum delay between a\n * touchstart and touchend can be configured in milliseconds.\n * @param {Number} [options.numInputs=1] - Number of inputs for Tap gesture.\n * @param {Number} [options.tolerance=10] - The tolerance in pixels\n * a user can move.\n */\n constructor(options) {\n super();\n\n /**\n * The type of the Gesture.\n * @type {String}\n */\n this.type = 'tap';\n\n /**\n * The minimum amount between a touchstart and a touchend can be configured\n * in milliseconds. The minimum delay starts to count down when the expected\n * number of inputs are on the screen, and ends when ALL inputs are off the\n * screen.\n * @type {Number}\n */\n this.minDelay = (options && options.minDelay) ?\n options.minDelay : DEFAULT_MIN_DELAY_MS;\n\n /**\n * The maximum delay between a touchstart and touchend can be configured in\n * milliseconds. The maximum delay starts to count down when the expected\n * number of inputs are on the screen, and ends when ALL inputs are off the\n * screen.\n * @type {Number}\n */\n this.maxDelay = (options && options.maxDelay) ?\n options.maxDelay : DEFAULT_MAX_DELAY_MS;\n\n /**\n * The number of inputs to trigger a Tap can be variable,\n * and the maximum number being a factor of the browser.\n * @type {Number}\n */\n this.numInputs = (options && options.numInputs) ?\n options.numInputs : DEFAULT_INPUTS;\n\n /**\n * A move tolerance in pixels allows some slop between a user's start to end\n * events. This allows the Tap gesture to be triggered more easily.\n * @type {number}\n */\n this.tolerance = (options && options.tolerance) ?\n options.tolerance : DEFAULT_MOVE_PX_TOLERANCE;\n }\n\n /* constructor*/\n\n /**\n * Event hook for the start of a gesture. Keeps track of when the inputs\n * trigger the start event.\n * @param {Array} inputs - The array of Inputs on the screen.\n * @return {null} - Tap does not trigger on a start event.\n */\n start(inputs) {\n if (inputs.length === this.numInputs) {\n inputs.forEach((input) => {\n let progress = input.getGestureProgress(this.type);\n progress.start = new Date().getTime();\n });\n }\n\n return null;\n }\n\n /* start*/\n\n /**\n * Event hook for the move of a gesture. The Tap event reaches here if the\n * user starts to move their input before an 'end' event is reached.\n * @param {Array} inputs - The array of Inputs on the screen.\n * @param {Object} state - The state object of the current region.\n * @param {Element} element - The element associated to the binding.\n * @return {null} - Tap does not trigger on a move event.\n */\n move(inputs, state, element) {\n for (let i = 0; i < inputs.length; i++) {\n if (inputs[i].getCurrentEventType() === 'move') {\n let current = inputs[i].current;\n let previous = inputs[i].previous;\n if (!util.isWithin(\n current.x,\n current.y,\n previous.x,\n previous.y,\n this.tolerance)) {\n let type = this.type;\n inputs.forEach(function(input) {\n input.resetProgress(type);\n });\n\n return null;\n }\n }\n }\n\n return null;\n }\n\n /* move*/\n\n /**\n * Event hook for the end of a gesture.\n * Determines if this the tap event can be fired if the delay and tolerance\n * constraints are met. Also waits for all of the inputs to be off the screen\n * before determining if the gesture is triggered.\n * @param {Array} inputs - The array of Inputs on the screen.\n * @return {null|Object} - null if the gesture is not to be emitted,\n * Object with information otherwise. Returns the interval time between start\n * and end events.\n */\n end(inputs) {\n if (inputs.length !== this.numInputs) {\n return null;\n }\n\n let startTime = Number.MAX_VALUE;\n for (let i = 0; i < inputs.length; i++) {\n if (inputs[i].getCurrentEventType() !== 'end') {\n return null;\n }\n\n let progress = inputs[i].getGestureProgress(this.type);\n if (!progress.start) {\n return null;\n }\n\n // Find the most recent input's startTime\n if (progress.start < startTime) {\n startTime = progress.start;\n }\n }\n\n let interval = new Date().getTime() - startTime;\n if ((this.minDelay <= interval) && (this.maxDelay >= interval)) {\n return {\n interval: interval,\n };\n } else {\n let type = this.type;\n inputs.forEach(function(input) {\n input.resetProgress(type);\n });\n\n return null;\n }\n }\n\n /* end*/\n}\n\nexport default Tap;\n","/**\n * @file Binding.js\n */\n\n/**\n * Responsible for creating a binding between an element and a gesture.\n * @class Binding\n */\nclass Binding {\n /**\n * Constructor function for the Binding class.\n * @param {Element} element - The element to associate the gesture to.\n * @param {Gesture} gesture - A instance of the Gesture type.\n * @param {Function} handler - The function handler to execute when a\n * gesture is recognized\n * on the associated element.\n * @param {Boolean} [capture=false] - A boolean signifying if the event is\n * to be emitted during\n * the capture or bubble phase.\n * @param {Boolean} [bindOnce=false] - A boolean flag\n * used for the bindOnce syntax.\n */\n constructor(element, gesture, handler, capture, bindOnce) {\n /**\n * The element to associate the gesture to.\n * @type {Element}\n */\n this.element = element;\n /**\n * A instance of the Gesture type.\n * @type {Gesture}\n */\n this.gesture = gesture;\n /**\n * The function handler to execute when a gesture is\n * recognized on the associated element.\n * @type {Function}\n */\n this.handler = handler;\n\n /**\n * A boolean signifying if the event is to be\n * emitted during the capture or bubble phase.\n * @type {Boolean}\n */\n this.capture = (typeof capture !== 'undefined') ? capture : false;\n\n /**\n * A boolean flag used for the bindOnce syntax.\n * @type {Boolean}\n */\n this.bindOnce = (typeof bindOnce !== 'undefined') ? bindOnce : false;\n }\n\n}\n\nexport default Binding;\n","/**\n * @file ZingEvent.js\n * Contains logic for ZingEvents\n */\n\nimport util from '../util.js';\n\nconst INITIAL_COORDINATE = 0;\n/**\n * An event wrapper that normalizes events across browsers and input devices\n * @class ZingEvent\n */\nclass ZingEvent {\n /**\n * @constructor\n * @param {Event} event - The event object being wrapped.\n * @param {Array} event.touches - The number of touches on\n * a screen (mobile only).\n * @param {Object} event.changedTouches - The TouchList representing\n * points that participated in the event.\n * @param {Number} touchIdentifier - The index of touch if applicable\n */\n constructor(event, touchIdentifier) {\n /**\n * The original event object.\n * @type {Event}\n */\n this.originalEvent = event;\n\n /**\n * The type of event or null if it is an event not predetermined.\n * @see util.normalizeEvent\n * @type {String | null}\n */\n this.type = util.normalizeEvent[ event.type ];\n\n /**\n * The X coordinate for the event, based off of the client.\n * @type {number}\n */\n this.x = INITIAL_COORDINATE;\n\n /**\n * The Y coordinate for the event, based off of the client.\n * @type {number}\n */\n this.y = INITIAL_COORDINATE;\n\n let eventObj;\n if (event.touches && event.changedTouches) {\n eventObj = Array.from(event.changedTouches).find( t => {\n return t.identifier === touchIdentifier;\n });\n } else {\n eventObj = event;\n }\n\n this.x = this.clientX = eventObj.clientX;\n this.y = this.clientY = eventObj.clientY;\n\n this.pageX = eventObj.pageX;\n this.pageY = eventObj.pageY;\n\n this.screenX = eventObj.screenX;\n this.screenY = eventObj.screenY;\n }\n}\n\nexport default ZingEvent;\n","/**\n * @file Input.js\n */\n\nimport ZingEvent from './ZingEvent.js';\n\n/**\n * Tracks a single input and contains information about the\n * current, previous, and initial events.\n * Contains the progress of each Input and it's associated gestures.\n * @class Input\n */\nclass Input {\n\n /**\n * Constructor function for the Input class.\n * @param {Event} event - The Event object from the window\n * @param {Number} [identifier=0] - The identifier for each input event\n * (taken from event.changedTouches)\n */\n constructor(event, identifier) {\n let currentEvent = new ZingEvent(event, identifier);\n\n /**\n * Holds the initial event object. A touchstart/mousedown event.\n * @type {ZingEvent}\n */\n this.initial = currentEvent;\n\n /**\n * Holds the most current event for this Input, disregarding any other past,\n * current, and future events that other Inputs participate in.\n * e.g. This event ended in an 'end' event, but another Input is still\n * participating in events -- this will not be updated in such cases.\n * @type {ZingEvent}\n */\n this.current = currentEvent;\n\n /**\n * Holds the previous event that took place.\n * @type {ZingEvent}\n */\n this.previous = currentEvent;\n\n /**\n * Refers to the event.touches index, or 0 if a simple mouse event occurred.\n * @type {Number}\n */\n this.identifier = (typeof identifier !== 'undefined') ? identifier : 0;\n\n /**\n * Stores internal state between events for\n * each gesture based off of the gesture's id.\n * @type {Object}\n */\n this.progress = {};\n }\n\n /**\n * Receives an input, updates the internal state of what the input has done.\n * @param {Event} event - The event object to wrap with a ZingEvent.\n * @param {Number} touchIdentifier - The index of inputs, from event.touches\n */\n update(event, touchIdentifier) {\n this.previous = this.current;\n this.current = new ZingEvent(event, touchIdentifier);\n }\n\n /**\n * Returns the progress of the specified gesture.\n * @param {String} id - The identifier for each unique Gesture's progress.\n * @return {Object} - The progress of the gesture.\n * Creates an empty object if no progress has begun.\n */\n getGestureProgress(id) {\n if (!this.progress[id]) {\n this.progress[id] = {};\n }\n return this.progress[id];\n }\n\n /**\n * Returns the normalized current Event's type.\n * @return {String} The current event's type ( start | move | end )\n */\n getCurrentEventType() {\n return this.current.type;\n }\n\n /**\n * Resets a progress/state object of the specified gesture.\n * @param {String} id - The identifier of the specified gesture\n */\n resetProgress(id) {\n this.progress[id] = {};\n }\n\n}\n\nexport default Input;\n","/**\n * @file State.js\n */\n\nimport Gesture from './../../gestures/Gesture.js';\nimport Pan from './../../gestures/Pan.js';\nimport Distance from './../../gestures/Distance.js';\nimport Rotate from './../../gestures/Rotate.js';\nimport Swipe from './../../gestures/Swipe.js';\nimport Tap from './../../gestures/Tap.js';\nimport Binding from './Binding.js';\nimport Input from './Input.js';\nimport util from './../util.js';\n\nconst DEFAULT_MOUSE_ID = 0;\n\n/**\n * Creates an object related to a Region's state,\n * and contains helper methods to update and clean up different states.\n */\nclass State {\n\n /**\n * Constructor for the State class.\n * @param {String} regionId - The id the region this state is bound to.\n */\n constructor(regionId) {\n /**\n * The id for the region this state is bound to.\n * @type {String}\n */\n this.regionId = regionId;\n\n /**\n * An array of current and recently inactive\n * Input objects related to a gesture.\n * @type {Input}\n */\n this.inputs = [];\n\n /**\n * An array of Binding objects; The list of relations between elements,\n * their gestures, and the handlers.\n * @type {Binding}\n */\n this.bindings = [];\n\n /**\n * The number of gestures that have been registered with this state\n * @type {Number}\n */\n this.numGestures = 0;\n\n /**\n * A key/value map all the registered gestures for the listener.\n * Note: Can only have one gesture registered to one key.\n * @type {Object}\n */\n this.registeredGestures = {};\n\n this.registerGesture(new Pan(), 'pan');\n this.registerGesture(new Rotate(), 'rotate');\n this.registerGesture(new Distance(), 'distance');\n this.registerGesture(new Swipe(), 'swipe');\n this.registerGesture(new Tap(), 'tap');\n }\n\n /**\n * Creates a new binding with the given element and gesture object.\n * If the gesture object provided is unregistered, it's reference\n * will be saved in as a binding to be later referenced.\n * @param {Element} element - The element the gesture is bound to.\n * @param {String|Object} gesture - Either a name of a registered gesture,\n * or an unregistered Gesture object.\n * @param {Function} handler - The function handler to be called\n * when the event is emitted. Used to bind/unbind.\n * @param {Boolean} capture - Whether the gesture is to be\n * detected in the capture of bubble phase. Used to bind/unbind.\n * @param {Boolean} bindOnce - Option to bind once and\n * only emit the event once.\n */\n addBinding(element, gesture, handler, capture, bindOnce) {\n let boundGesture;\n\n // Error type checking.\n if (element && typeof element.tagName === 'undefined') {\n throw new Error('Parameter element is an invalid object.');\n }\n\n if (typeof handler !== 'function') {\n throw new Error('Parameter handler is invalid.');\n }\n\n if (typeof gesture === 'string' &&\n Object.keys(this.registeredGestures).indexOf(gesture) === -1) {\n throw new Error('Parameter ' + gesture + ' is not a registered gesture');\n } else if (typeof gesture === 'object' && !(gesture instanceof Gesture)) {\n throw new Error('Parameter for the gesture is not of a Gesture type');\n }\n\n if (typeof gesture === 'string') {\n boundGesture = this.registeredGestures[gesture];\n } else {\n boundGesture = gesture;\n if (boundGesture.id === '') {\n this.assignGestureId(boundGesture);\n }\n }\n\n this.bindings.push(new Binding(element, boundGesture,\n handler, capture, bindOnce));\n element.addEventListener(boundGesture.getId(), handler, capture);\n }\n\n /**\n * Retrieves the Binding by which an element is associated to.\n * @param {Element} element - The element to find bindings to.\n * @return {Array} - An array of Bindings to which that element is bound\n */\n retrieveBindingsByElement(element) {\n return this.bindings.filter( b => b.element === element );\n }\n\n /**\n * Retrieves all bindings based upon the initial X/Y position of the inputs.\n * e.g. if gesture started on the correct target element,\n * but diverted away into the correct region, this would still be valid.\n * @return {Array} - An array of Bindings to which that element is bound\n */\n retrieveBindingsByInitialPos() {\n return this.bindings.filter( binding => {\n return this.inputs.some( input => {\n return util.isInside(input.initial.x, input.initial.y, binding.element);\n });\n });\n }\n\n /**\n * Updates the inputs with new information based upon a new event being fired.\n * @param {Event} event - The event being captured.\n * @param {Element} regionElement - The element where\n * this current Region is bound to.\n * @return {boolean} - returns true for a successful update,\n * false if the event is invalid.\n */\n updateInputs(event, regionElement) {\n let eventType = (event.touches) ?\n 'TouchEvent' : ((event.pointerType) ? 'PointerEvent' : 'MouseEvent');\n switch (eventType) {\n case 'TouchEvent':\n Array.from(event.changedTouches).forEach( touch => {\n update(event, this, touch.identifier, regionElement);\n });\n break;\n\n case 'PointerEvent':\n update(event, this, event.pointerId, regionElement);\n break;\n\n case 'MouseEvent':\n default:\n update(event, this, DEFAULT_MOUSE_ID, regionElement);\n break;\n }\n return true;\n\n function update(event, state, identifier, regionElement) {\n const eventType = util.normalizeEvent[ event.type ];\n const input = findInputById(state.inputs, identifier);\n\n // A starting input was not cleaned up properly and still exists.\n if (eventType === 'start' && input) {\n state.resetInputs();\n return;\n }\n\n // An input has moved outside the region.\n if (eventType !== 'start' &&\n input &&\n !util.isInside(input.current.x, input.current.y, regionElement)) {\n state.resetInputs();\n return;\n }\n\n if (eventType !== 'start' && !input) {\n state.resetInputs();\n return;\n }\n\n if (eventType === 'start') {\n state.inputs.push(new Input(event, identifier));\n } else {\n input.update(event, identifier);\n }\n }\n }\n\n /**\n * Removes all inputs from the state, allowing for a new gesture.\n */\n resetInputs() {\n this.inputs = [];\n }\n\n /**\n * Counts the number of active inputs at any given time.\n * @return {Number} - The number of active inputs.\n */\n numActiveInputs() {\n const endType = this.inputs.filter((input) => {\n return input.current.type !== 'end';\n });\n return endType.length;\n }\n\n /**\n * Register the gesture to the current region.\n * @param {Object} gesture - The gesture to register\n * @param {String} key - The key to define the new gesture as.\n */\n registerGesture(gesture, key) {\n this.assignGestureId(gesture);\n this.registeredGestures[key] = gesture;\n }\n\n /**\n * Tracks the gesture to this state object to become uniquely identifiable.\n * Useful for nested Regions.\n * @param {Gesture} gesture - The gesture to track\n */\n assignGestureId(gesture) {\n gesture.setId(this.regionId + '-' + this.numGestures++);\n }\n\n}\n/**\n * Searches through each input, comparing the browser's identifier key\n * for touches, to the stored one in each input\n * @param {Array} inputs - The array of inputs in state.\n * @param {String} identifier - The identifier the browser has assigned.\n * @return {Input} - The input object with the corresponding identifier,\n * null if it did not find any.\n */\nfunction findInputById(inputs, identifier) {\n return inputs.find( i => i.identifier === identifier );\n}\n\nexport default State;\n","/**\n * @file Region.js\n */\n\nimport Binder from './Binder.js';\nimport Gesture from './../../gestures/Gesture.js';\nimport arbiter from './../arbiter.js';\nimport State from './State.js';\n\n/**\n * Allows the user to specify a region to capture all events to feed ZingTouch\n * into. This can be as narrow as the element itself, or as big as the document\n * itself. The more specific an area, the better performant the overall\n * application will perform. Contains API methods to bind/unbind specific\n * elements to corresponding gestures. Also contains the ability to\n * register/unregister new gestures.\n * @class Region\n */\nclass Region {\n\n /**\n * Constructor function for the Region class.\n * @param {Element} element - The element to capture all\n * window events in that region to feed into ZingTouch.\n * @param {boolean} [capture=false] - Whether the region listens for\n * captures or bubbles.\n * @param {boolean} [preventDefault=true] - Whether the default browser\n * functionality should be disabled;\n * @param {Number} id - The id of the region, assigned by the ZingTouch object\n */\n constructor(element, capture, preventDefault, id) {\n /**\n * The identifier for the Region. This is assigned by the ZingTouch object\n * and is used to hash gesture id for uniqueness.\n * @type {Number}\n */\n this.id = id;\n\n /**\n * The element being bound to.\n * @type {Element}\n */\n this.element = element;\n\n /**\n * Whether the region listens for captures or bubbles.\n * @type {boolean}\n */\n this.capture = (typeof capture !== 'undefined') ? capture : false;\n\n /**\n * Boolean to disable browser functionality such as scrolling and zooming\n * over the region\n * @type {boolean}\n */\n this.preventDefault = (typeof preventDefault !== 'undefined') ?\n preventDefault : true;\n\n /**\n * The internal state object for a Region.\n * Keeps track of registered gestures, inputs, and events.\n * @type {State}\n */\n this.state = new State(id);\n\n let eventNames = [];\n if (window.PointerEvent && !window.TouchEvent) {\n eventNames = [\n 'pointerdown',\n 'pointermove',\n 'pointerup',\n ];\n } else {\n eventNames = [\n 'mousedown',\n 'mousemove',\n 'mouseup',\n 'touchstart',\n 'touchmove',\n 'touchend',\n ];\n }\n\n // Bind detected browser events to the region element.\n eventNames.forEach((name) => {\n element.addEventListener(name, (e) => {\n arbiter(e, this);\n }, this.capture);\n });\n }\n\n /**\n * Bind an element to a registered/unregistered gesture with\n * multiple function signatures.\n * @example\n * bind(element) - chainable\n * @example\n * bind(element, gesture, handler, [capture])\n * @param {Element} element - The element object.\n * @param {String|Object} [gesture] - Gesture key, or a Gesture object.\n * @param {Function} [handler] - The function to execute when an event is\n * emitted.\n * @param {Boolean} [capture] - capture/bubble\n * @param {Boolean} [bindOnce = false] - Option to bind once and\n * only emit the event once.\n * @return {Object} - a chainable object that has the same function as bind.\n */\n bind(element, gesture, handler, capture, bindOnce) {\n if (!element || (element && !element.tagName)) {\n throw 'Bind must contain an element';\n }\n\n bindOnce = (typeof bindOnce !== 'undefined') ? bindOnce : false;\n if (!gesture) {\n return new Binder(element, bindOnce, this.state);\n } else {\n this.state.addBinding(element, gesture, handler, capture, bindOnce);\n }\n }\n\n /**\n * Bind an element and sets up actions to remove the binding once\n * it has been emitted for the first time.\n * 1. bind(element) - chainable\n * 2. bind(element, gesture, handler, [capture])\n * @param {Element} element - The element object.\n * @param {String|Object} gesture - Gesture key, or a Gesture object.\n * @param {Function} handler - The function to execute when an\n * event is emitted.\n * @param {Boolean} capture - capture/bubble\n * @return {Object} - a chainable object that has the same function as bind.\n */\n bindOnce(element, gesture, handler, capture) {\n this.bind(element, gesture, handler, capture, true);\n }\n\n /**\n * Unbinds an element from either the specified gesture\n * or all if no element is specified.\n * @param {Element} element -The element to remove.\n * @param {String | Object} [gesture] - A String representing the gesture,\n * or the actual object being used.\n * @return {Array} - An array of Bindings that were unbound to the element;\n */\n unbind(element, gesture) {\n let bindings = this.state.retrieveBindingsByElement(element);\n let unbound = [];\n\n bindings.forEach((binding) => {\n if (gesture) {\n if (typeof gesture === 'string' &&\n this.state.registeredGestures[gesture]) {\n let registeredGesture = this.state.registeredGestures[gesture];\n if (registeredGesture.id === binding.gesture.id) {\n element.removeEventListener(\n binding.gesture.getId(),\n binding.handler, binding.capture);\n unbound.push(binding);\n }\n }\n } else {\n element.removeEventListener(\n binding.gesture.getId(),\n binding.handler,\n binding.capture);\n unbound.push(binding);\n }\n });\n\n return unbound;\n }\n\n /* unbind*/\n\n /**\n * Registers a new gesture with an assigned key\n * @param {String} key - The key used to register an element to that gesture\n * @param {Gesture} gesture - A gesture object\n */\n register(key, gesture) {\n if (typeof key !== 'string') {\n throw new Error('Parameter key is an invalid string');\n }\n\n if (!gesture instanceof Gesture) {\n throw new Error('Parameter gesture is an invalid Gesture object');\n }\n\n gesture.setType(key);\n this.state.registerGesture(gesture, key);\n }\n\n /* register*/\n\n /**\n * Un-registers a gesture from the Region's state such that\n * it is no longer emittable.\n * Unbinds all events that were registered with the type.\n * @param {String|Object} key - Gesture key that was used to\n * register the object\n * @return {Object} - The Gesture object that was unregistered\n * or null if it could not be found.\n */\n unregister(key) {\n this.state.bindings.forEach((binding) => {\n if (binding.gesture.getType() === key) {\n binding.element.removeEventListener(binding.gesture.getId(),\n binding.handler, binding.capture);\n }\n });\n\n let registeredGesture = this.state.registeredGestures[key];\n delete this.state.registeredGestures[key];\n return registeredGesture;\n }\n}\n\nexport default Region;\n","/**\n * @file ZingTouch.js\n * Main object containing API methods and Gesture constructors\n */\n\nimport Region from './core/classes/Region.js';\nimport Gesture from './gestures/Gesture.js';\nimport Pan from './gestures/Pan.js';\nimport Distance from './gestures/Distance.js';\nimport Rotate from './gestures/Rotate.js';\nimport Swipe from './gestures/Swipe.js';\nimport Tap from './gestures/Tap.js';\n\n/**\n * The global API interface for ZingTouch. Contains a constructor for the\n * Region Object, and constructors for each predefined Gesture.\n * @type {Object}\n * @namespace ZingTouch\n */\nlet ZingTouch = {\n _regions: [],\n\n // Constructors\n Gesture,\n Pan,\n Distance,\n Rotate,\n Swipe,\n Tap,\n Region: function(element, capture, preventDefault) {\n let id = ZingTouch._regions.length;\n let region = new Region(element, capture, preventDefault, id);\n ZingTouch._regions.push(region);\n return region;\n },\n};\n\nexport default ZingTouch;\n","/**\n * @file main.js\n * Main file to setup event listeners on the document,\n * and to expose the ZingTouch object\n */\n\nimport ZingTouch from './../ZingTouch.js';\nwindow.ZingTouch = ZingTouch;\n"],"sourceRoot":""}
```
|
/content/code_sandbox/dist/zingtouch.min.js.map
|
unknown
| 2016-03-15T20:49:25
| 2024-08-16T15:00:47
|
zingtouch
|
zingchart/zingtouch
| 2,112
| 29,437
|
```javascript
/*!
*
* ZingTouch v2.0.0
* Author: ZingChart path_to_url
*/!function(e){var t={};function n(r){if(t[r])return t[r].exports;var i=t[r]={i:r,l:!1,exports:{}};return e[r].call(i.exports,i,i.exports,n),i.l=!0,i.exports}n.m=e,n.c=t,n.d=function(e,t,r){n.o(e,t)||Object.defineProperty(e,t,{enumerable:!0,get:r})},n.r=function(e){"undefined"!=typeof Symbol&&Symbol.toStringTag&&Object.defineProperty(e,Symbol.toStringTag,{value:"Module"}),Object.defineProperty(e,"__esModule",{value:!0})},n.t=function(e,t){if(1&t&&(e=n(e)),8&t)return e;if(4&t&&"object"==typeof e&&e&&e.__esModule)return e;var r=Object.create(null);if(n.r(r),Object.defineProperty(r,"default",{enumerable:!0,value:e}),2&t&&"string"!=typeof e)for(var i in e)n.d(r,i,function(t){return e[t]}.bind(null,i));return r},n.n=function(e){var t=e&&e.__esModule?function(){return e.default}:function(){return e};return n.d(t,"a",t),t},n.o=function(e,t){return Object.prototype.hasOwnProperty.call(e,t)},n.p="",n(n.s=0)}([function(e,t,n){"use strict";n.r(t);var r=function e(t,n,r){var i=this;!function(e,t){if(!(e instanceof t))throw new TypeError("Cannot call a class as a function")}(this,e),this.element=t,Object.keys(r.registeredGestures).forEach(function(e){i[e]=function(t,o){return r.addBinding(i.element,e,t,o,n),i}})},i={normalizeEvent:Object.freeze({mousedown:"start",touchstart:"start",pointerdown:"start",mousemove:"move",touchmove:"move",pointermove:"move",mouseup:"end",touchend:"end",pointerup:"end"}),isWithin:function(e,t,n,r,i){return Math.abs(t-r)<=i&&Math.abs(e-n)<=i},distanceBetweenTwoPoints:function(e,t,n,r){var i=Math.sqrt((t-e)*(t-e)+(r-n)*(r-n));return Math.round(100*i)/100},getMidpoint:function(e,t,n,r){return{x:(e+t)/2,y:(n+r)/2}},getAngle:function(e,t,n,r){var i=Math.atan2(r-t,n-e)*(180/Math.PI);return 360-(i<0?360+i:i)},getAngularDistance:function(e,t){var n=(t-e)%360,r=n<0?1:-1;return(n=Math.abs(n))>180?r*(360-n):r*n},getVelocity:function(e,t,n,r,i,o){return this.distanceBetweenTwoPoints(e,r,t,i)/(o-n)},getRightMostInput:function(e){var t=null,n=Number.MIN_VALUE;return e.forEach(function(e){e.initial.x>n&&(t=e)}),t},isInteger:function(e){return"number"==typeof e&&e%1==0},isInside:function(e,t,n){var r=n.getBoundingClientRect();return e>r.left&&e<r.left+r.width&&t>r.top&&t<r.top+r.height},getPropagationPath:function(e){if(e.path)return e.path;for(var t=[],n=e.target;n!=document;)t.push(n),n=n.parentNode;return t},getPathIndex:function(e,t){var n=e.length;return e.forEach(function(e,r){e===t&&(n=r)}),n},setMSPreventDefault:function(e){e.style["-ms-content-zooming"]="none",e.style["touch-action"]="none"},removeMSPreventDefault:function(e){e.style["-ms-content-zooming"]="",e.style["touch-action"]=""},preventDefault:function(e){e.preventDefault?e.preventDefault():e.returnValue=!1}};function o(e,t){for(var n=0;n<t.length;n++){var r=t[n];r.enumerable=r.enumerable||!1,r.configurable=!0,"value"in r&&(r.writable=!0),Object.defineProperty(e,r.key,r)}}var u=function(){function e(){!function(e,t){if(!(e instanceof t))throw new TypeError("Cannot call a class as a function")}(this,e),this.type=null,this.id=null}return function(e,t,n){t&&o(e.prototype,t),n&&o(e,n)}(e,[{key:"setType",value:function(e){this.type=e}},{key:"getType",value:function(){return this.type}},{key:"setId",value:function(e){this.id=e}},{key:"getId",value:function(){return null!==this.id?this.id:this.type}},{key:"update",value:function(e){var t=this;Object.keys(e).forEach(function(n){t[n]=e[n]})}},{key:"start",value:function(e,t,n){return null}},{key:"move",value:function(e,t,n){return null}},{key:"end",value:function(e){return null}},{key:"isValid",value:function(e,t,n){return e.every(function(e){return i.isInside(e.initial.x,e.initial.y,n)})}}]),e}();var s=function(e,t,n){t.events=n;var r=new CustomEvent(e.gesture.getId(),{detail:t,bubbles:!0,cancelable:!0});!function(e,t,n){e.dispatchEvent(t),n.bindOnce&&ZingTouch.unbind(n.element,n.gesture.getType())}(e.element,r,e)};var a=function(e,t,n){var r=i.normalizeEvent[t.type],o=n.inputs.map(function(e){return e.current});return e.reduce(function(e,t){var i=t.gesture[r](n.inputs,n,t.element);return i&&e.push({binding:t,data:i,events:o}),e},[])};var c=function(e,t){var n=t.state,r=i.normalizeEvent[e.type];if(0!==n.inputs.length||"start"===r)if(void 0===e.buttons||"end"===r||0!==e.buttons){if(n.updateInputs(e,t.element)){var o=n.retrieveBindingsByInitialPos();if(o.length>0){t.preventDefault?(i.setMSPreventDefault(t.element),i.preventDefault(e)):i.removeMSPreventDefault(t.element);var u={},c=a(o,e,n),f=i.getPropagationPath(e);c.forEach(function(e){var t=e.binding.gesture.getId();u[t]?i.getPathIndex(f,e.binding.element)<i.getPathIndex(f,u[t].binding.element)&&(u[t]=e):u[t]=e}),Object.keys(u).forEach(function(e){var t=u[e];s(t.binding,t.data,t.events)})}var l=0;n.inputs.forEach(function(e){"end"===e.getCurrentEventType()&&l++}),l===n.inputs.length&&n.resetInputs()}}else n.resetInputs()};function f(e){return(f="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(e){return typeof e}:function(e){return e&&"function"==typeof Symbol&&e.constructor===Symbol&&e!==Symbol.prototype?"symbol":typeof e})(e)}function l(e,t){for(var n=0;n<t.length;n++){var r=t[n];r.enumerable=r.enumerable||!1,r.configurable=!0,"value"in r&&(r.writable=!0),Object.defineProperty(e,r.key,r)}}function p(e,t){return!t||"object"!==f(t)&&"function"!=typeof t?function(e){if(void 0===e)throw new ReferenceError("this hasn't been initialised - super() hasn't been called");return e}(e):t}function y(e){return(y=Object.setPrototypeOf?Object.getPrototypeOf:function(e){return e.__proto__||Object.getPrototypeOf(e)})(e)}function h(e,t){return(h=Object.setPrototypeOf||function(e,t){return e.__proto__=t,e})(e,t)}var v=1,g=1,d=function(e){function t(e){var n;return function(e,t){if(!(e instanceof t))throw new TypeError("Cannot call a class as a function")}(this,t),(n=p(this,y(t).call(this))).type="pan",n.numInputs=e&&e.numInputs?e.numInputs:v,n.threshold=e&&e.threshold?e.threshold:g,n}return function(e,t){if("function"!=typeof t&&null!==t)throw new TypeError("Super expression must either be null or a function");e.prototype=Object.create(t&&t.prototype,{constructor:{value:e,writable:!0,configurable:!0}}),t&&h(e,t)}(t,u),function(e,t,n){t&&l(e.prototype,t),n&&l(e,n)}(t,[{key:"start",value:function(e){var t=this;e.forEach(function(e){var n=e.getGestureProgress(t.getId());n.active=!0,n.lastEmitted={x:e.current.x,y:e.current.y}})}},{key:"move",value:function(e,t,n){var r=this;if(this.numInputs!==e.length)return null;var o={data:[]};return e.forEach(function(e,t){var n=e.getGestureProgress(r.getId()),u=i.distanceBetweenTwoPoints(n.lastEmitted.x,n.lastEmitted.y,e.current.x,e.current.y)>=r.threshold;n.active&&u&&(o.data[t]=function(e,t){var n=i.distanceBetweenTwoPoints(e.initial.x,e.current.x,e.initial.y,e.current.y),r=i.getAngle(e.initial.x,e.initial.y,e.current.x,e.current.y),o=i.getAngle(t.lastEmitted.x,t.lastEmitted.y,e.current.x,e.current.y),u={x:e.current.x-t.lastEmitted.x,y:e.current.y-t.lastEmitted.y};return{distanceFromOrigin:n,directionFromOrigin:r,currentDirection:o,change:u}}(e,n),n.lastEmitted.x=e.current.x,n.lastEmitted.y=e.current.y)}),o}},{key:"end",value:function(e){var t=this;return e.forEach(function(e){e.getGestureProgress(t.getId()).active=!1}),null}}]),t}();function m(e){return(m="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(e){return typeof e}:function(e){return e&&"function"==typeof Symbol&&e.constructor===Symbol&&e!==Symbol.prototype?"symbol":typeof e})(e)}function b(e,t){for(var n=0;n<t.length;n++){var r=t[n];r.enumerable=r.enumerable||!1,r.configurable=!0,"value"in r&&(r.writable=!0),Object.defineProperty(e,r.key,r)}}function w(e,t){return!t||"object"!==m(t)&&"function"!=typeof t?function(e){if(void 0===e)throw new ReferenceError("this hasn't been initialised - super() hasn't been called");return e}(e):t}function E(e){return(E=Object.setPrototypeOf?Object.getPrototypeOf:function(e){return e.__proto__||Object.getPrototypeOf(e)})(e)}function P(e,t){return(P=Object.setPrototypeOf||function(e,t){return e.__proto__=t,e})(e,t)}var O=1,x=function(e){function t(e){var n;return function(e,t){if(!(e instanceof t))throw new TypeError("Cannot call a class as a function")}(this,t),(n=w(this,E(t).call(this))).type="distance",n.threshold=e&&e.threshold?e.threshold:O,n}return function(e,t){if("function"!=typeof t&&null!==t)throw new TypeError("Super expression must either be null or a function");e.prototype=Object.create(t&&t.prototype,{constructor:{value:e,writable:!0,configurable:!0}}),t&&P(e,t)}(t,u),function(e,t,n){t&&b(e.prototype,t),n&&b(e,n)}(t,[{key:"start",value:function(e,t,n){if(!this.isValid(e,t,n))return 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j(e,t){return!t||"object"!==I(t)&&"function"!=typeof t?function(e){if(void 0===e)throw new ReferenceError("this hasn't been initialised - super() hasn't been called");return e}(e):t}function T(e){return(T=Object.setPrototypeOf?Object.getPrototypeOf:function(e){return e.__proto__||Object.getPrototypeOf(e)})(e)}function _(e,t){return(_=Object.setPrototypeOf||function(e,t){return e.__proto__=t,e})(e,t)}var S=2,G=function(e){function t(){var e,n=arguments.length>0&&void 0!==arguments[0]?arguments[0]:{};return function(e,t){if(!(e instanceof t))throw new TypeError("Cannot call a class as a function")}(this,t),(e=j(this,T(t).call(this))).type="rotate",e.numInputs=n.numInputs||S,e}return function(e,t){if("function"!=typeof t&&null!==t)throw new TypeError("Super expression must either be null or a 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is an invalid string");if(!t instanceof u)throw new Error("Parameter gesture is an invalid Gesture object");t.setType(e),this.state.registerGesture(t,e)}},{key:"unregister",value:function(e){this.state.bindings.forEach(function(t){t.gesture.getType()===e&&t.element.removeEventListener(t.gesture.getId(),t.handler,t.capture)});var t=this.state.registeredGestures[e];return delete this.state.registeredGestures[e],t}}]),e}(),ae={_regions:[],Gesture:u,Pan:d,Distance:x,Rotate:G,Swipe:N,Tap:Q,Region:function(e,t,n){var r=ae._regions.length,i=new se(e,t,n,r);return ae._regions.push(i),i}},ce=ae;window.ZingTouch=ce}]);
//# sourceMappingURL=zingtouch.min.js.map
```
|
/content/code_sandbox/dist/zingtouch.min.js
|
javascript
| 2016-03-15T20:49:25
| 2024-08-16T15:00:47
|
zingtouch
|
zingchart/zingtouch
| 2,112
| 6,558
|
```unknown
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If the event is stopped, return;\n if (!state.updateInputs(event, region.element)) {\n return;\n }\n\n // Retrieve the initial target from any one of the inputs\n const bindings = state.retrieveBindingsByInitialPos();\n if (bindings.length > 0) {\n if (region.preventDefault) {\n util.setMSPreventDefault(region.element);\n util.preventDefault(event);\n } else {\n util.removeMSPreventDefault(region.element);\n }\n\n const toBeDispatched = {};\n const gestures = interpreter(bindings, event, state);\n\n /* Determine the deepest path index to emit the event\n from, to avoid duplicate events being fired. */\n\n const path = util.getPropagationPath(event);\n gestures.forEach((gesture) => {\n const id = gesture.binding.gesture.getId();\n if (toBeDispatched[id]) {\n if (util.getPathIndex(path, gesture.binding.element) <\n util.getPathIndex(path, toBeDispatched[id].binding.element)) {\n toBeDispatched[id] = gesture;\n }\n } else {\n toBeDispatched[id] = gesture;\n }\n });\n\n Object.keys(toBeDispatched).forEach((index) => {\n const gesture = toBeDispatched[index];\n dispatcher(gesture.binding, gesture.data, gesture.events);\n });\n }\n\n let endCount = 0;\n state.inputs.forEach((input) => {\n if (input.getCurrentEventType() === 'end') {\n endCount++;\n }\n });\n\n if (endCount === state.inputs.length) {\n state.resetInputs();\n }\n}\n\nexport default arbiter;\n","/**\n * @file Binder.js\n */\n\n/**\n * A chainable object that contains a single element to be bound upon.\n * Called from ZingTouch.bind(), and is used to chain over gesture callbacks.\n * @class\n */\nclass Binder {\n /**\n * Constructor function for the Binder class.\n * @param {Element} element - The element to bind gestures to.\n * @param {Boolean} bindOnce - Option to bind once and only emit\n * the event once.\n * @param {Object} state - The state of the Region that is being bound to.\n * @return {Object} - Returns 'this' to be chained over and over again.\n */\n constructor(element, bindOnce, state) {\n /**\n * The element to bind gestures to.\n * @type {Element}\n */\n this.element = element;\n\n Object.keys(state.registeredGestures).forEach((key) => {\n this[key] = (handler, capture) => {\n state.addBinding(this.element, key, handler, capture, bindOnce);\n return this;\n };\n });\n }\n\n}\n\nexport default Binder;\n","/**\n * @file Binding.js\n */\n\n/**\n * Responsible for creating a binding between an element and a gesture.\n * @class Binding\n */\nclass Binding {\n /**\n * Constructor function for the Binding class.\n * @param {Element} element - The element to associate the gesture to.\n * @param {Gesture} gesture - A instance of the Gesture type.\n * @param {Function} handler - The function handler to execute when a\n * gesture is recognized\n * on the associated element.\n * @param {Boolean} [capture=false] - A boolean signifying if the event is\n * to be emitted during\n * the capture or bubble phase.\n * @param {Boolean} [bindOnce=false] - A boolean flag\n * used for the bindOnce syntax.\n */\n constructor(element, gesture, handler, capture, bindOnce) {\n /**\n * The element to associate the gesture to.\n * @type {Element}\n */\n this.element = element;\n /**\n * A instance of the Gesture type.\n * @type {Gesture}\n */\n this.gesture = gesture;\n /**\n * The function handler to execute when a gesture is\n * recognized on the associated element.\n * @type {Function}\n */\n this.handler = handler;\n\n /**\n * A boolean signifying if the event is to be\n * emitted during the capture or bubble phase.\n * @type {Boolean}\n */\n this.capture = (typeof capture !== 'undefined') ? capture : false;\n\n /**\n * A boolean flag used for the bindOnce syntax.\n * @type {Boolean}\n */\n this.bindOnce = (typeof bindOnce !== 'undefined') ? bindOnce : false;\n }\n\n}\n\nexport default Binding;\n","/**\n * @file Input.js\n */\n\nimport ZingEvent from './ZingEvent.js';\n\n/**\n * Tracks a single input and contains information about the\n * current, previous, and initial events.\n * Contains the progress of each Input and it's associated gestures.\n * @class Input\n */\nclass Input {\n\n /**\n * Constructor function for the Input class.\n * @param {Event} event - The Event object from the window\n * @param {Number} [identifier=0] - The identifier for each input event\n * (taken from event.changedTouches)\n */\n constructor(event, identifier) {\n let currentEvent = new ZingEvent(event, identifier);\n\n /**\n * Holds the initial event object. A touchstart/mousedown event.\n * @type {ZingEvent}\n */\n this.initial = currentEvent;\n\n /**\n * Holds the most current event for this Input, disregarding any other past,\n * current, and future events that other Inputs participate in.\n * e.g. This event ended in an 'end' event, but another Input is still\n * participating in events -- this will not be updated in such cases.\n * @type {ZingEvent}\n */\n this.current = currentEvent;\n\n /**\n * Holds the previous event that took place.\n * @type {ZingEvent}\n */\n this.previous = currentEvent;\n\n /**\n * Refers to the event.touches index, or 0 if a simple mouse event occurred.\n * @type {Number}\n */\n this.identifier = (typeof identifier !== 'undefined') ? identifier : 0;\n\n /**\n * Stores internal state between events for\n * each gesture based off of the gesture's id.\n * @type {Object}\n */\n this.progress = {};\n }\n\n /**\n * Receives an input, updates the internal state of what the input has done.\n * @param {Event} event - The event object to wrap with a ZingEvent.\n * @param {Number} touchIdentifier - The index of inputs, from event.touches\n */\n update(event, touchIdentifier) {\n this.previous = this.current;\n this.current = new ZingEvent(event, touchIdentifier);\n }\n\n /**\n * Returns the progress of the specified gesture.\n * @param {String} id - The identifier for each unique Gesture's progress.\n * @return {Object} - The progress of the gesture.\n * Creates an empty object if no progress has begun.\n */\n getGestureProgress(id) {\n if (!this.progress[id]) {\n this.progress[id] = {};\n }\n return this.progress[id];\n }\n\n /**\n * Returns the normalized current Event's type.\n * @return {String} The current event's type ( start | move | end )\n */\n getCurrentEventType() {\n return this.current.type;\n }\n\n /**\n * Resets a progress/state object of the specified gesture.\n * @param {String} id - The identifier of the specified gesture\n */\n resetProgress(id) {\n this.progress[id] = {};\n }\n\n}\n\nexport default Input;\n","/**\n * @file Region.js\n */\n\nimport Binder from './Binder.js';\nimport Gesture from './../../gestures/Gesture.js';\nimport arbiter from './../arbiter.js';\nimport State from './State.js';\n\n/**\n * Allows the user to specify a region to capture all events to feed ZingTouch\n * into. This can be as narrow as the element itself, or as big as the document\n * itself. The more specific an area, the better performant the overall\n * application will perform. Contains API methods to bind/unbind specific\n * elements to corresponding gestures. Also contains the ability to\n * register/unregister new gestures.\n * @class Region\n */\nclass Region {\n\n /**\n * Constructor function for the Region class.\n * @param {Element} element - The element to capture all\n * window events in that region to feed into ZingTouch.\n * @param {boolean} [capture=false] - Whether the region listens for\n * captures or bubbles.\n * @param {boolean} [preventDefault=true] - Whether the default browser\n * functionality should be disabled;\n * @param {Number} id - The id of the region, assigned by the ZingTouch object\n */\n constructor(element, capture, preventDefault, id) {\n /**\n * The identifier for the Region. This is assigned by the ZingTouch object\n * and is used to hash gesture id for uniqueness.\n * @type {Number}\n */\n this.id = id;\n\n /**\n * The element being bound to.\n * @type {Element}\n */\n this.element = element;\n\n /**\n * Whether the region listens for captures or bubbles.\n * @type {boolean}\n */\n this.capture = (typeof capture !== 'undefined') ? capture : false;\n\n /**\n * Boolean to disable browser functionality such as scrolling and zooming\n * over the region\n * @type {boolean}\n */\n this.preventDefault = (typeof preventDefault !== 'undefined') ?\n preventDefault : true;\n\n /**\n * The internal state object for a Region.\n * Keeps track of registered gestures, inputs, and events.\n * @type {State}\n */\n this.state = new State(id);\n\n let eventNames = [];\n if (window.PointerEvent && !window.TouchEvent) {\n eventNames = [\n 'pointerdown',\n 'pointermove',\n 'pointerup',\n ];\n } else {\n eventNames = [\n 'mousedown',\n 'mousemove',\n 'mouseup',\n 'touchstart',\n 'touchmove',\n 'touchend',\n ];\n }\n\n // Bind detected browser events to the region element.\n eventNames.forEach((name) => {\n element.addEventListener(name, (e) => {\n arbiter(e, this);\n }, this.capture);\n });\n }\n\n /**\n * Bind an element to a registered/unregistered gesture with\n * multiple function signatures.\n * @example\n * bind(element) - chainable\n * @example\n * bind(element, gesture, handler, [capture])\n * @param {Element} element - The element object.\n * @param {String|Object} [gesture] - Gesture key, or a Gesture object.\n * @param {Function} [handler] - The function to execute when an event is\n * emitted.\n * @param {Boolean} [capture] - capture/bubble\n * @param {Boolean} [bindOnce = false] - Option to bind once and\n * only emit the event once.\n * @return {Object} - a chainable object that has the same function as bind.\n */\n bind(element, gesture, handler, capture, bindOnce) {\n if (!element || (element && !element.tagName)) {\n throw 'Bind must contain an element';\n }\n\n bindOnce = (typeof bindOnce !== 'undefined') ? bindOnce : false;\n if (!gesture) {\n return new Binder(element, bindOnce, this.state);\n } else {\n this.state.addBinding(element, gesture, handler, capture, bindOnce);\n }\n }\n\n /**\n * Bind an element and sets up actions to remove the binding once\n * it has been emitted for the first time.\n * 1. bind(element) - chainable\n * 2. bind(element, gesture, handler, [capture])\n * @param {Element} element - The element object.\n * @param {String|Object} gesture - Gesture key, or a Gesture object.\n * @param {Function} handler - The function to execute when an\n * event is emitted.\n * @param {Boolean} capture - capture/bubble\n * @return {Object} - a chainable object that has the same function as bind.\n */\n bindOnce(element, gesture, handler, capture) {\n this.bind(element, gesture, handler, capture, true);\n }\n\n /**\n * Unbinds an element from either the specified gesture\n * or all if no element is specified.\n * @param {Element} element -The element to remove.\n * @param {String | Object} [gesture] - A String representing the gesture,\n * or the actual object being used.\n * @return {Array} - An array of Bindings that were unbound to the element;\n */\n unbind(element, gesture) {\n let bindings = this.state.retrieveBindingsByElement(element);\n let unbound = [];\n\n bindings.forEach((binding) => {\n if (gesture) {\n if (typeof gesture === 'string' &&\n this.state.registeredGestures[gesture]) {\n let registeredGesture = this.state.registeredGestures[gesture];\n if (registeredGesture.id === binding.gesture.id) {\n element.removeEventListener(\n binding.gesture.getId(),\n binding.handler, binding.capture);\n unbound.push(binding);\n }\n }\n } else {\n element.removeEventListener(\n binding.gesture.getId(),\n binding.handler,\n binding.capture);\n unbound.push(binding);\n }\n });\n\n return unbound;\n }\n\n /* unbind*/\n\n /**\n * Registers a new gesture with an assigned key\n * @param {String} key - The key used to register an element to that gesture\n * @param {Gesture} gesture - A gesture object\n */\n register(key, gesture) {\n if (typeof key !== 'string') {\n throw new Error('Parameter key is an invalid string');\n }\n\n if (!gesture instanceof Gesture) {\n throw new Error('Parameter gesture is an invalid Gesture object');\n }\n\n gesture.setType(key);\n this.state.registerGesture(gesture, key);\n }\n\n /* register*/\n\n /**\n * Un-registers a gesture from the Region's state such that\n * it is no longer emittable.\n * Unbinds all events that were registered with the type.\n * @param {String|Object} key - Gesture key that was used to\n * register the object\n * @return {Object} - The Gesture object that was unregistered\n * or null if it could not be found.\n */\n unregister(key) {\n this.state.bindings.forEach((binding) => {\n if (binding.gesture.getType() === key) {\n binding.element.removeEventListener(binding.gesture.getId(),\n binding.handler, binding.capture);\n }\n });\n\n let registeredGesture = this.state.registeredGestures[key];\n delete this.state.registeredGestures[key];\n return registeredGesture;\n }\n}\n\nexport default Region;\n","/**\n * @file State.js\n */\n\nimport Gesture from './../../gestures/Gesture.js';\nimport Pan from './../../gestures/Pan.js';\nimport Distance from './../../gestures/Distance.js';\nimport Rotate from './../../gestures/Rotate.js';\nimport Swipe from './../../gestures/Swipe.js';\nimport Tap from './../../gestures/Tap.js';\nimport Binding from './Binding.js';\nimport Input from './Input.js';\nimport util from './../util.js';\n\nconst DEFAULT_MOUSE_ID = 0;\n\n/**\n * Creates an object related to a Region's state,\n * and contains helper methods to update and clean up different states.\n */\nclass State {\n\n /**\n * Constructor for the State class.\n * @param {String} regionId - The id the region this state is bound to.\n */\n constructor(regionId) {\n /**\n * The id for the region this state is bound to.\n * @type {String}\n */\n this.regionId = regionId;\n\n /**\n * An array of current and recently inactive\n * Input objects related to a gesture.\n * @type {Input}\n */\n this.inputs = [];\n\n /**\n * An array of Binding objects; The list of relations between elements,\n * their gestures, and the handlers.\n * @type {Binding}\n */\n this.bindings = [];\n\n /**\n * The number of gestures that have been registered with this state\n * @type {Number}\n */\n this.numGestures = 0;\n\n /**\n * A key/value map all the registered gestures for the listener.\n * Note: Can only have one gesture registered to one key.\n * @type {Object}\n */\n this.registeredGestures = {};\n\n this.registerGesture(new Pan(), 'pan');\n this.registerGesture(new Rotate(), 'rotate');\n this.registerGesture(new Distance(), 'distance');\n this.registerGesture(new Swipe(), 'swipe');\n this.registerGesture(new Tap(), 'tap');\n }\n\n /**\n * Creates a new binding with the given element and gesture object.\n * If the gesture object provided is unregistered, it's reference\n * will be saved in as a binding to be later referenced.\n * @param {Element} element - The element the gesture is bound to.\n * @param {String|Object} gesture - Either a name of a registered gesture,\n * or an unregistered Gesture object.\n * @param {Function} handler - The function handler to be called\n * when the event is emitted. Used to bind/unbind.\n * @param {Boolean} capture - Whether the gesture is to be\n * detected in the capture of bubble phase. Used to bind/unbind.\n * @param {Boolean} bindOnce - Option to bind once and\n * only emit the event once.\n */\n addBinding(element, gesture, handler, capture, bindOnce) {\n let boundGesture;\n\n // Error type checking.\n if (element && typeof element.tagName === 'undefined') {\n throw new Error('Parameter element is an invalid object.');\n }\n\n if (typeof handler !== 'function') {\n throw new Error('Parameter handler is invalid.');\n }\n\n if (typeof gesture === 'string' &&\n Object.keys(this.registeredGestures).indexOf(gesture) === -1) {\n throw new Error('Parameter ' + gesture + ' is not a registered gesture');\n } else if (typeof gesture === 'object' && !(gesture instanceof Gesture)) {\n throw new Error('Parameter for the gesture is not of a Gesture type');\n }\n\n if (typeof gesture === 'string') {\n boundGesture = this.registeredGestures[gesture];\n } else {\n boundGesture = gesture;\n if (boundGesture.id === '') {\n this.assignGestureId(boundGesture);\n }\n }\n\n this.bindings.push(new Binding(element, boundGesture,\n handler, capture, bindOnce));\n element.addEventListener(boundGesture.getId(), handler, capture);\n }\n\n /**\n * Retrieves the Binding by which an element is associated to.\n * @param {Element} element - The element to find bindings to.\n * @return {Array} - An array of Bindings to which that element is bound\n */\n retrieveBindingsByElement(element) {\n return this.bindings.filter( b => b.element === element );\n }\n\n /**\n * Retrieves all bindings based upon the initial X/Y position of the inputs.\n * e.g. if gesture started on the correct target element,\n * but diverted away into the correct region, this would still be valid.\n * @return {Array} - An array of Bindings to which that element is bound\n */\n retrieveBindingsByInitialPos() {\n return this.bindings.filter( binding => {\n return this.inputs.some( input => {\n return util.isInside(input.initial.x, input.initial.y, binding.element);\n });\n });\n }\n\n /**\n * Updates the inputs with new information based upon a new event being fired.\n * @param {Event} event - The event being captured.\n * @param {Element} regionElement - The element where\n * this current Region is bound to.\n * @return {boolean} - returns true for a successful update,\n * false if the event is invalid.\n */\n updateInputs(event, regionElement) {\n let eventType = (event.touches) ?\n 'TouchEvent' : ((event.pointerType) ? 'PointerEvent' : 'MouseEvent');\n switch (eventType) {\n case 'TouchEvent':\n Array.from(event.changedTouches).forEach( touch => {\n update(event, this, touch.identifier, regionElement);\n });\n break;\n\n case 'PointerEvent':\n update(event, this, event.pointerId, regionElement);\n break;\n\n case 'MouseEvent':\n default:\n update(event, this, DEFAULT_MOUSE_ID, regionElement);\n break;\n }\n return true;\n\n function update(event, state, identifier, regionElement) {\n const eventType = util.normalizeEvent[ event.type ];\n const input = findInputById(state.inputs, identifier);\n\n // A starting input was not cleaned up properly and still exists.\n if (eventType === 'start' && input) {\n state.resetInputs();\n return;\n }\n\n // An input has moved outside the region.\n if (eventType !== 'start' &&\n input &&\n !util.isInside(input.current.x, input.current.y, regionElement)) {\n state.resetInputs();\n return;\n }\n\n if (eventType !== 'start' && !input) {\n state.resetInputs();\n return;\n }\n\n if (eventType === 'start') {\n state.inputs.push(new Input(event, identifier));\n } else {\n input.update(event, identifier);\n }\n }\n }\n\n /**\n * Removes all inputs from the state, allowing for a new gesture.\n */\n resetInputs() {\n this.inputs = [];\n }\n\n /**\n * Counts the number of active inputs at any given time.\n * @return {Number} - The number of active inputs.\n */\n numActiveInputs() {\n const endType = this.inputs.filter((input) => {\n return input.current.type !== 'end';\n });\n return endType.length;\n }\n\n /**\n * Register the gesture to the current region.\n * @param {Object} gesture - The gesture to register\n * @param {String} key - The key to define the new gesture as.\n */\n registerGesture(gesture, key) {\n this.assignGestureId(gesture);\n this.registeredGestures[key] = gesture;\n }\n\n /**\n * Tracks the gesture to this state object to become uniquely identifiable.\n * Useful for nested Regions.\n * @param {Gesture} gesture - The gesture to track\n */\n assignGestureId(gesture) {\n gesture.setId(this.regionId + '-' + this.numGestures++);\n }\n\n}\n/**\n * Searches through each input, comparing the browser's identifier key\n * for touches, to the stored one in each input\n * @param {Array} inputs - The array of inputs in state.\n * @param {String} identifier - The identifier the browser has assigned.\n * @return {Input} - The input object with the corresponding identifier,\n * null if it did not find any.\n */\nfunction findInputById(inputs, identifier) {\n return inputs.find( i => i.identifier === identifier );\n}\n\nexport default State;\n","/**\n * @file ZingEvent.js\n * Contains logic for ZingEvents\n */\n\nimport util from '../util.js';\n\nconst INITIAL_COORDINATE = 0;\n/**\n * An event wrapper that normalizes events across browsers and input devices\n * @class ZingEvent\n */\nclass ZingEvent {\n /**\n * @constructor\n * @param {Event} event - The event object being wrapped.\n * @param {Array} event.touches - The number of touches on\n * a screen (mobile only).\n * @param {Object} event.changedTouches - The TouchList representing\n * points that participated in the event.\n * @param {Number} touchIdentifier - The index of touch if applicable\n */\n constructor(event, touchIdentifier) {\n /**\n * The original event object.\n * @type {Event}\n */\n this.originalEvent = event;\n\n /**\n * The type of event or null if it is an event not predetermined.\n * @see util.normalizeEvent\n * @type {String | null}\n */\n this.type = util.normalizeEvent[ event.type ];\n\n /**\n * The X coordinate for the event, based off of the client.\n * @type {number}\n */\n this.x = INITIAL_COORDINATE;\n\n /**\n * The Y coordinate for the event, based off of the client.\n * @type {number}\n */\n this.y = INITIAL_COORDINATE;\n\n let eventObj;\n if (event.touches && event.changedTouches) {\n eventObj = Array.from(event.changedTouches).find( t => {\n return t.identifier === touchIdentifier;\n });\n } else {\n eventObj = event;\n }\n\n this.x = this.clientX = eventObj.clientX;\n this.y = this.clientY = eventObj.clientY;\n\n this.pageX = eventObj.pageX;\n this.pageY = eventObj.pageY;\n\n this.screenX = eventObj.screenX;\n this.screenY = eventObj.screenY;\n }\n}\n\nexport default ZingEvent;\n","/**\n * @file dispatcher.js\n * Contains logic for the dispatcher\n */\n\n/**\n * Emits data at the target element if available, and bubbles up from\n * the target to the parent until the document has been reached.\n * Called from the arbiter.\n * @param {Binding} binding - An object of type Binding\n * @param {Object} data - The metadata computed by the gesture being emitted.\n * @param {Array} events - An array of ZingEvents\n * corresponding to the inputs on the screen.\n */\nfunction dispatcher(binding, data, events) {\n data.events = events;\n\n const newEvent = new CustomEvent(binding.gesture.getId(), {\n detail: data,\n bubbles: true,\n cancelable: true,\n });\n emitEvent(binding.element, newEvent, binding);\n}\n\n/**\n * Emits the new event. Unbinds the event if the event was registered\n * at bindOnce.\n * @param {Element} target - Element object to emit the event to.\n * @param {Event} event - The CustomEvent to emit.\n * @param {Binding} binding - An object of type Binding\n */\nfunction emitEvent(target, event, binding) {\n target.dispatchEvent(event);\n if (binding.bindOnce) {\n ZingTouch.unbind(binding.element, binding.gesture.getType());\n }\n}\n\nexport default dispatcher;\n","/**\n * @file interpreter.js\n * Contains logic for the interpreter\n */\n\nimport util from './util.js';\n\n/**\n * Receives an event and an array of Bindings (element -> gesture handler)\n * to determine what event will be emitted. Called from the arbiter.\n * @param {Array} bindings - An array containing Binding objects\n * that associate the element to an event handler.\n * @param {Object} event - The event emitted from the window.\n * @param {Object} state - The state object of the current listener.\n * @return {Object | null} - Returns an object containing a binding and\n * metadata, or null if a gesture will not be emitted.\n */\nfunction interpreter(bindings, event, state) {\n const evType = util.normalizeEvent[ event.type ];\n const events = state.inputs.map( input => input.current );\n\n const candidates = bindings.reduce( (accumulator, binding) => {\n const data = binding.gesture[evType](state.inputs, state, binding.element);\n if (data) accumulator.push({ binding, data, events });\n return accumulator;\n }, []);\n\n return candidates;\n}\n\nexport default interpreter;\n","/**\n * @file main.js\n * Main file to setup event listeners on the document,\n * and to expose the ZingTouch object\n */\n\nimport ZingTouch from './../ZingTouch.js';\nwindow.ZingTouch = ZingTouch;\n","/**\n * @file util.js\n * Various accessor and mutator functions to handle state and validation.\n */\n\nconst CIRCLE_DEGREES = 360;\nconst HALF_CIRCLE_DEGREES = 180;\n\n/**\n * Contains generic helper functions\n * @type {Object}\n * @namespace util\n */\nlet util = {\n\n /**\n * Normalizes window events to be either of type start, move, or end.\n * @param {String} type - The event type emitted by the browser\n * @return {null|String} - The normalized event, or null if it is an\n * event not predetermined.\n */\n normalizeEvent: Object.freeze({\n mousedown: 'start',\n touchstart: 'start',\n pointerdown: 'start',\n\n mousemove: 'move',\n touchmove: 'move',\n pointermove: 'move',\n\n mouseup: 'end',\n touchend: 'end',\n pointerup: 'end',\n }),\n /* normalizeEvent*/\n\n /**\n * Determines if the current and previous coordinates are within or\n * up to a certain tolerance.\n * @param {Number} currentX - Current event's x coordinate\n * @param {Number} currentY - Current event's y coordinate\n * @param {Number} previousX - Previous event's x coordinate\n * @param {Number} previousY - Previous event's y coordinate\n * @param {Number} tolerance - The tolerance in pixel value.\n * @return {boolean} - true if the current coordinates are\n * within the tolerance, false otherwise\n */\n isWithin(currentX, currentY, previousX, previousY, tolerance) {\n return ((Math.abs(currentY - previousY) <= tolerance) &&\n (Math.abs(currentX - previousX) <= tolerance));\n },\n /* isWithin*/\n\n /**\n * Calculates the distance between two points.\n * @param {Number} x0\n * @param {Number} x1\n * @param {Number} y0\n * @param {Number} y1\n * @return {number} The numerical value between two points\n */\n distanceBetweenTwoPoints(x0, x1, y0, y1) {\n let dist = (Math.sqrt(((x1 - x0) * (x1 - x0)) + ((y1 - y0) * (y1 - y0))));\n return Math.round(dist * 100) / 100;\n },\n\n /**\n * Calculates the midpoint coordinates between two points.\n * @param {Number} x0\n * @param {Number} x1\n * @param {Number} y0\n * @param {Number} y1\n * @return {Object} The coordinates of the midpoint.\n */\n getMidpoint(x0, x1, y0, y1) {\n return {\n x: ((x0 + x1) / 2),\n y: ((y0 + y1) / 2),\n };\n },\n /**\n * Calculates the angle between the projection and an origin point.\n * | (projectionX,projectionY)\n * | /\n * | /\n * | /\n * | / \n * | /__________\n * (originX, originY)\n * @param {number} originX\n * @param {number} originY\n * @param {number} projectionX\n * @param {number} projectionY\n * @return {number} - Degree along the unit circle where the project lies\n */\n getAngle(originX, originY, projectionX, projectionY) {\n let angle = Math.atan2(projectionY - originY, projectionX - originX) *\n ((HALF_CIRCLE_DEGREES) / Math.PI);\n return CIRCLE_DEGREES - ((angle < 0) ? (CIRCLE_DEGREES + angle) : angle);\n },\n /**\n * Calculates the angular distance in degrees between two angles\n * along the unit circle\n * @param {number} start - The starting point in degrees\n * @param {number} end - The ending point in degrees\n * @return {number} The number of degrees between the\n * starting point and ending point. Negative degrees denote a clockwise\n * direction, and positive a counter-clockwise direction.\n */\n getAngularDistance(start, end) {\n let angle = (end - start) % CIRCLE_DEGREES;\n let sign = (angle < 0) ? 1 : -1;\n angle = Math.abs(angle);\n return (angle > HALF_CIRCLE_DEGREES) ?\n sign * (CIRCLE_DEGREES - angle) : sign * angle;\n },\n\n /**\n * Calculates the velocity of pixel/milliseconds between two points\n * @param {Number} startX\n * @param {Number} startY\n * @param {Number} startTime\n * @param {Number} endX\n * @param {Number} endY\n * @param {Number} endTime\n * @return {Number} velocity of px/time\n */\n getVelocity(startX, startY, startTime, endX, endY, endTime) {\n let distance = this.distanceBetweenTwoPoints(startX, endX, startY, endY);\n return (distance / (endTime - startTime));\n },\n\n /**\n * Returns the farthest right input\n * @param {Array} inputs\n * @return {Object}\n */\n getRightMostInput(inputs) {\n let rightMost = null;\n let distance = Number.MIN_VALUE;\n inputs.forEach((input) => {\n if (input.initial.x > distance) {\n rightMost = input;\n }\n });\n return rightMost;\n },\n\n /**\n * Determines is the value is an integer and not a floating point\n * @param {Mixed} value\n * @return {boolean}\n */\n isInteger(value) {\n return (typeof value === 'number') && (value % 1 === 0);\n },\n\n /**\n * Determines if the x,y position of the input is within then target.\n * @param {Number} x -clientX\n * @param {Number} y -clientY\n * @param {Element} target\n * @return {Boolean}\n */\n isInside(x, y, target) {\n const rect = target.getBoundingClientRect();\n return ((x > rect.left && x < rect.left + rect.width) &&\n (y > rect.top && y < rect.top + rect.height));\n },\n /**\n * Polyfill for event.propagationPath\n * @param {Event} event\n * @return {Array}\n */\n getPropagationPath(event) {\n if (event.path) {\n return event.path;\n } else {\n let path = [];\n let node = event.target;\n while (node != document) {\n path.push(node);\n node = node.parentNode;\n }\n\n return path;\n }\n },\n\n /**\n * Retrieve the index inside the path array\n * @param {Array} path\n * @param {Element} element\n * @return {Element}\n */\n getPathIndex(path, element) {\n let index = path.length;\n\n path.forEach((obj, i) => {\n if (obj === element) {\n index = i;\n }\n });\n\n return index;\n },\n\n setMSPreventDefault(element) {\n element.style['-ms-content-zooming'] = 'none';\n element.style['touch-action'] = 'none';\n },\n\n removeMSPreventDefault(element) {\n element.style['-ms-content-zooming'] = '';\n element.style['touch-action'] = '';\n },\n\n preventDefault(event) {\n if (event.preventDefault) {\n event.preventDefault();\n } else {\n event.returnValue = false;\n }\n }\n};\n\nexport default util;\n","/**\n * @file Distance.js\n * Contains the abstract Distance class\n */\n\nimport Gesture from './Gesture.js';\nimport util from './../core/util.js';\n\nconst DEFAULT_INPUTS = 2;\nconst DEFAULT_MIN_THRESHOLD = 1;\n\n/**\n * A Distance is defined as two inputs moving either together or apart.\n * @class Distance\n */\nclass Distance extends Gesture {\n /**\n * Constructor function for the Distance class.\n * @param {Object} options\n */\n constructor(options) {\n super();\n\n /**\n * The type of the Gesture.\n * @type {String}\n */\n this.type = 'distance';\n\n /**\n * The minimum amount in pixels the inputs must move until it is fired.\n * @type {Number}\n */\n this.threshold = (options && options.threshold) ?\n options.threshold : DEFAULT_MIN_THRESHOLD;\n }\n\n /**\n * Event hook for the start of a gesture. Initialized the lastEmitted\n * gesture and stores it in the first input for reference events.\n * @param {Array} inputs\n */\n start(inputs, state, element) {\n if(!this.isValid(inputs, state, element)) {\n return null;\n }\n if (inputs.length === DEFAULT_INPUTS) {\n // Store the progress in the first input.\n const progress = inputs[0].getGestureProgress(this.type);\n progress.lastEmittedDistance = util.distanceBetweenTwoPoints(\n inputs[0].current.x,\n inputs[1].current.x,\n inputs[0].current.y,\n inputs[1].current.y);\n }\n }\n\n /**\n * Event hook for the move of a gesture.\n * Determines if the two points are moved in the expected direction relative\n * to the current distance and the last distance.\n * @param {Array} inputs - The array of Inputs on the screen.\n * @param {Object} state - The state object of the current region.\n * @param {Element} element - The element associated to the binding.\n * @return {Object | null} - Returns the distance in pixels between two inputs\n */\n move(inputs, state, element) {\n if (state.numActiveInputs() === DEFAULT_INPUTS) {\n const currentDistance = util.distanceBetweenTwoPoints(\n inputs[0].current.x,\n inputs[1].current.x,\n inputs[0].current.y,\n inputs[1].current.y);\n const centerPoint = util.getMidpoint(\n inputs[0].current.x,\n inputs[1].current.x,\n inputs[0].current.y,\n inputs[1].current.y);\n\n // Progress is stored in the first input.\n const progress = inputs[0].getGestureProgress(this.type);\n const change = currentDistance - progress.lastEmittedDistance;\n\n if (Math.abs(change) >= this.threshold) {\n progress.lastEmittedDistance = currentDistance;\n return {\n distance: currentDistance,\n center: centerPoint,\n change,\n };\n }\n }\n\n return null;\n }\n}\n\nexport default Distance;\n","/**\n * @file Gesture.js\n * Contains the Gesture class\n */\n\nimport util from './../core/util.js';\n\n/**\n * The Gesture class that all gestures inherit from.\n */\nclass Gesture {\n /**\n * Constructor function for the Gesture class.\n * @class Gesture\n */\n constructor() {\n /**\n * The generic string type of gesture ('expand'|'distance'|\n * 'rotate'|'swipe'|'tap').\n * @type {String}\n */\n this.type = null;\n\n /**\n * The unique identifier for each gesture determined at bind time by the\n * state object. This allows for distinctions across instance variables of\n * Gestures that are created on the fly (e.g. Tap-1, Tap-2, etc).\n * @type {String|null}\n */\n this.id = null;\n }\n\n /**\n * Set the type of the gesture to be called during an event\n * @param {String} type - The unique identifier of the gesture being created.\n */\n setType(type) {\n this.type = type;\n }\n\n /**\n * getType() - Returns the generic type of the gesture\n * @return {String} - The type of gesture\n */\n getType() {\n return this.type;\n }\n\n /**\n * Set the id of the gesture to be called during an event\n * @param {String} id - The unique identifier of the gesture being created.\n */\n setId(id) {\n this.id = id;\n }\n\n /**\n * Return the id of the event. If the id does not exist, return the type.\n * @return {String}\n */\n getId() {\n return (this.id !== null) ? this.id : this.type;\n }\n\n /**\n * Updates internal properties with new ones, only if the properties exist.\n * @param {Object} object\n */\n update(object) {\n Object.keys(object).forEach( key => {\n this[key] = object[key];\n });\n }\n\n /**\n * start() - Event hook for the start of a gesture\n * @param {Array} inputs - The array of Inputs on the screen\n\t * @param {Object} state - The state object of the current region.\n\t * @param {Element} element - The element associated to the binding.\n * @return {null|Object} - Default of null\n */\n start(inputs, state, element) {\n return null;\n }\n\n /**\n * move() - Event hook for the move of a gesture\n * @param {Array} inputs - The array of Inputs on the screen\n * @param {Object} state - The state object of the current region.\n * @param {Element} element - The element associated to the binding.\n * @return {null|Object} - Default of null\n */\n move(inputs, state, element) {\n return null;\n }\n\n /**\n * end() - Event hook for the move of a gesture\n * @param {Array} inputs - The array of Inputs on the screen\n * @return {null|Object} - Default of null\n */\n end(inputs) {\n return null;\n }\n\n\t/**\n\t* isValid() - Pre-checks to ensure the invariants of a gesture are satisfied.\n\t* @param {Array} inputs - The array of Inputs on the screen\n\t* @param {Object} state - The state object of the current region.\n\t* @param {Element} element - The element associated to the binding.\n\t* @return {boolean} - If the gesture is valid\n\t*/\n\tisValid(inputs, state, element) {\n return inputs.every( input => {\n return util.isInside(input.initial.x, input.initial.y, element);\n });\n }\n\n}\n\nexport default Gesture;\n","/**\n * @file Pan.js\n * Contains the Pan class\n */\n\nimport Gesture from './Gesture.js';\nimport util from './../core/util.js';\n\nconst DEFAULT_INPUTS = 1;\nconst DEFAULT_MIN_THRESHOLD = 1;\n\n/**\n * A Pan is defined as a normal movement in any direction on a screen.\n * Pan gestures do not track start events and can interact with distance gestures\n * @class Pan\n */\nclass Pan extends Gesture {\n /**\n * Constructor function for the Pan class.\n * @param {Object} [options] - The options object.\n * @param {Number} [options.numInputs=1] - Number of inputs for the\n * Pan gesture.\n * @param {Number} [options.threshold=1] - The minimum number of\n * pixels the input has to move to trigger this gesture.\n */\n constructor(options) {\n super();\n\n /**\n * The type of the Gesture.\n * @type {String}\n */\n this.type = 'pan';\n\n /**\n * The number of inputs to trigger a Pan can be variable,\n * and the maximum number being a factor of the browser.\n * @type {Number}\n */\n this.numInputs = (options && options.numInputs) ?\n options.numInputs : DEFAULT_INPUTS;\n\n /**\n * The minimum amount in pixels the pan must move until it is fired.\n * @type {Number}\n */\n this.threshold = (options && options.threshold) ?\n options.threshold : DEFAULT_MIN_THRESHOLD;\n }\n\n /**\n * Event hook for the start of a gesture. Marks each input as active,\n * so it can invalidate any end events.\n * @param {Array} inputs\n */\n start(inputs) {\n inputs.forEach((input) => {\n const progress = input.getGestureProgress(this.getId());\n progress.active = true;\n progress.lastEmitted = {\n x: input.current.x,\n y: input.current.y,\n };\n });\n }\n\n /**\n * move() - Event hook for the move of a gesture.\n * Fired whenever the input length is met, and keeps a boolean flag that\n * the gesture has fired at least once.\n * @param {Array} inputs - The array of Inputs on the screen\n * @param {Object} state - The state object of the current region.\n * @param {Element} element - The element associated to the binding.\n * @return {Object} - Returns the distance in pixels between the two inputs.\n */\n move(inputs, state, element) {\n if (this.numInputs !== inputs.length) return null;\n\n const output = {\n data: [],\n };\n\n inputs.forEach( (input, index) => {\n const progress = input.getGestureProgress(this.getId());\n const distanceFromLastEmit = util.distanceBetweenTwoPoints(\n progress.lastEmitted.x,\n progress.lastEmitted.y,\n input.current.x,\n input.current.y\n );\n const reachedThreshold = distanceFromLastEmit >= this.threshold;\n\n if (progress.active && reachedThreshold) {\n output.data[index] = packData( input, progress );\n progress.lastEmitted.x = input.current.x;\n progress.lastEmitted.y = input.current.y;\n }\n });\n\n return output;\n\n function packData( input, progress ) {\n const distanceFromOrigin = util.distanceBetweenTwoPoints(\n input.initial.x,\n input.current.x,\n input.initial.y,\n input.current.y\n );\n const directionFromOrigin = util.getAngle(\n input.initial.x,\n input.initial.y,\n input.current.x,\n input.current.y\n );\n const currentDirection = util.getAngle(\n progress.lastEmitted.x,\n progress.lastEmitted.y,\n input.current.x,\n input.current.y\n );\n const change = {\n x: input.current.x - progress.lastEmitted.x,\n y: input.current.y - progress.lastEmitted.y,\n };\n\n return {\n distanceFromOrigin,\n directionFromOrigin,\n currentDirection,\n change,\n };\n }\n }\n\n /* move*/\n\n /**\n * end() - Event hook for the end of a gesture. If the gesture has at least\n * fired once, then it ends on the first end event such that any remaining\n * inputs will not trigger the event until all inputs have reached the\n * touchend event. Any touchend->touchstart events that occur before all\n * inputs are fully off the screen should not fire.\n * @param {Array} inputs - The array of Inputs on the screen\n * @return {null} - null if the gesture is not to be emitted,\n * Object with information otherwise.\n */\n end(inputs) {\n inputs.forEach((input) => {\n const progress = input.getGestureProgress(this.getId());\n progress.active = false;\n });\n return null;\n }\n\n /* end*/\n}\n\nexport default Pan;\n","/**\n * @file Rotate.js\n * Contains the Rotate class\n */\n\nimport Gesture from './Gesture.js';\nimport util from './../core/util.js';\n\nconst DEFAULT_INPUTS = 2;\n\n/**\n * A Rotate is defined as two inputs moving about a circle,\n * maintaining a relatively equal radius.\n * @class Rotate\n */\nclass Rotate extends Gesture {\n /**\n * Constructor function for the Rotate class.\n */\n constructor(options = {}) {\n super();\n\n /**\n * The type of the Gesture.\n * @type {String}\n */\n this.type = 'rotate';\n\n /**\n * The number of touches required to emit Rotate events.\n * @type {Number}\n */\n this.numInputs = options.numInputs || DEFAULT_INPUTS;\n }\n\n /**\n * move() - Event hook for the move of a gesture. Obtains the midpoint of two\n * the two inputs and calculates the projection of the right most input along\n * a unit circle to obtain an angle. This angle is compared to the previously\n * calculated angle to output the change of distance, and is compared to the\n * initial angle to output the distance from the initial angle to the current\n * angle.\n * @param {Array} inputs - The array of Inputs on the screen\n * @param {Object} state - The state object of the current listener.\n * @param {Element} element - The element associated to the binding.\n * @return {null} - null if this event did not occur\n * @return {Object} obj.angle - The current angle along the unit circle\n * @return {Object} obj.distanceFromOrigin - The angular distance travelled\n * from the initial right most point.\n * @return {Object} obj.distanceFromLast - The change of angle between the\n * last position and the current position.\n */\n move(inputs, state, element) {\n const numActiveInputs = state.numActiveInputs();\n if (this.numInputs !== numActiveInputs) return null;\n\n let currentPivot, initialPivot;\n let input;\n if (numActiveInputs === 1) {\n const bRect = element.getBoundingClientRect();\n currentPivot = {\n x: bRect.left + bRect.width / 2,\n y: bRect.top + bRect.height / 2,\n };\n initialPivot = currentPivot;\n input = inputs[0];\n } else {\n currentPivot = util.getMidpoint(\n inputs[0].current.x,\n inputs[1].current.x,\n inputs[0].current.y,\n inputs[1].current.y);\n input = util.getRightMostInput(inputs);\n }\n\n // Translate the current pivot point.\n const currentAngle = util.getAngle(\n currentPivot.x, \n currentPivot.y,\n input.current.x,\n input.current.y);\n\n const progress = input.getGestureProgress(this.getId());\n if (!progress.initialAngle) {\n progress.initialAngle = progress.previousAngle = currentAngle;\n progress.distance = progress.change = 0;\n } else {\n progress.change = util.getAngularDistance(\n progress.previousAngle,\n currentAngle);\n progress.distance = progress.distance + progress.change;\n }\n\n progress.previousAngle = currentAngle;\n\n return {\n angle: currentAngle,\n distanceFromOrigin: progress.distance,\n distanceFromLast: progress.change,\n };\n }\n\n /* move*/\n}\n\nexport default Rotate;\n","/**\n * @file Swipe.js\n * Contains the Swipe class\n */\n\nimport Gesture from './Gesture.js';\nimport util from './../core/util.js';\n\nconst DEFAULT_INPUTS = 1;\nconst DEFAULT_MAX_REST_TIME = 100;\nconst DEFAULT_ESCAPE_VELOCITY = 0.2;\nconst DEFAULT_TIME_DISTORTION = 100;\nconst DEFAULT_MAX_PROGRESS_STACK = 10;\n\n/**\n * A swipe is defined as input(s) moving in the same direction in an relatively\n * increasing velocity and leaving the screen at some point before it drops\n * below it's escape velocity.\n * @class Swipe\n */\nclass Swipe extends Gesture {\n\n /**\n * Constructor function for the Swipe class.\n * @param {Object} [options] - The options object.\n * @param {Number} [options.numInputs] - The number of inputs to trigger a\n * Swipe can be variable, and the maximum number being a factor of the browser\n * move and current move events.\n * @param {Number} [options.maxRestTime] - The maximum resting time a point\n * has between it's last\n * @param {Number} [options.escapeVelocity] - The minimum velocity the input\n * has to be at to emit a swipe.\n * @param {Number} [options.timeDistortion] - (EXPERIMENTAL) A value of time\n * in milliseconds to distort between events.\n * @param {Number} [options.maxProgressStack] - (EXPERIMENTAL)The maximum\n * amount of move events to keep\n * track of for a swipe.\n */\n constructor(options) {\n super();\n /**\n * The type of the Gesture\n * @type {String}\n */\n this.type = 'swipe';\n\n /**\n * The number of inputs to trigger a Swipe can be variable,\n * and the maximum number being a factor of the browser.\n * @type {Number}\n */\n this.numInputs = (options && options.numInputs) ?\n options.numInputs : DEFAULT_INPUTS;\n\n /**\n * The maximum resting time a point has between it's last move and\n * current move events.\n * @type {Number}\n */\n this.maxRestTime = (options && options.maxRestTime) ?\n options.maxRestTime : DEFAULT_MAX_REST_TIME;\n\n /**\n * The minimum velocity the input has to be at to emit a swipe.\n * This is useful for determining the difference between\n * a swipe and a pan gesture.\n * @type {number}\n */\n this.escapeVelocity = (options && options.escapeVelocity) ?\n options.escapeVelocity : DEFAULT_ESCAPE_VELOCITY;\n\n /**\n * (EXPERIMENTAL) A value of time in milliseconds to distort between events.\n * Browsers do not accurately measure time with the Date constructor in\n * milliseconds, so consecutive events sometimes display the same timestamp\n * but different x/y coordinates. This will distort a previous time\n * in such cases by the timeDistortion's value.\n * @type {number}\n */\n this.timeDistortion = (options && options.timeDistortion) ?\n options.timeDistortion : DEFAULT_TIME_DISTORTION;\n\n /**\n * (EXPERIMENTAL) The maximum amount of move events to keep track of for a\n * swipe. This helps give a more accurate estimate of the user's velocity.\n * @type {number}\n */\n this.maxProgressStack = (options && options.maxProgressStack) ?\n options.maxProgressStack : DEFAULT_MAX_PROGRESS_STACK;\n }\n\n /**\n * Event hook for the move of a gesture. Captures an input's x/y coordinates\n * and the time of it's event on a stack.\n * @param {Array} inputs - The array of Inputs on the screen.\n * @param {Object} state - The state object of the current region.\n * @param {Element} element - The element associated to the binding.\n * @return {null} - Swipe does not emit from a move.\n */\n move(inputs, state, element) {\n if (this.numInputs === inputs.length) {\n for (let i = 0; i < inputs.length; i++) {\n let progress = inputs[i].getGestureProgress(this.getId());\n if (!progress.moves) {\n progress.moves = [];\n }\n\n progress.moves.push({\n time: new Date().getTime(),\n x: inputs[i].current.x,\n y: inputs[i].current.y,\n });\n\n if (progress.length > this.maxProgressStack) {\n progress.moves.shift();\n }\n }\n }\n\n return null;\n }\n\n /* move*/\n\n /**\n * Determines if the input's history validates a swipe motion.\n * Determines if it did not come to a complete stop (maxRestTime), and if it\n * had enough of a velocity to be considered (ESCAPE_VELOCITY).\n * @param {Array} inputs - The array of Inputs on the screen\n * @return {null|Object} - null if the gesture is not to be emitted,\n * Object with information otherwise.\n */\n end(inputs) {\n if (this.numInputs === inputs.length) {\n let output = {\n data: [],\n };\n\n for (var i = 0; i < inputs.length; i++) {\n // Determine if all input events are on the 'end' event.\n if (inputs[i].current.type !== 'end') {\n return;\n }\n\n let progress = inputs[i].getGestureProgress(this.getId());\n if (progress.moves && progress.moves.length > 2) {\n // CHECK : Return if the input has not moved in maxRestTime ms.\n\n let currentMove = progress.moves.pop();\n if ((new Date().getTime()) - currentMove.time > this.maxRestTime) {\n return null;\n }\n\n let lastMove;\n let index = progress.moves.length - 1;\n\n /* Date is unreliable, so we retrieve the last move event where\n the time is not the same. */\n while (index !== -1) {\n if (progress.moves[index].time !== currentMove.time) {\n lastMove = progress.moves[index];\n break;\n }\n\n index--;\n }\n\n /* If the date is REALLY unreliable, we apply a time distortion\n to the last event.\n */\n if (!lastMove) {\n lastMove = progress.moves.pop();\n lastMove.time += this.timeDistortion;\n }\n\n var velocity = util.getVelocity(lastMove.x, lastMove.y, lastMove.time,\n currentMove.x, currentMove.y, currentMove.time);\n\n output.data[i] = {\n velocity: velocity,\n distance: util.distanceBetweenTwoPoints(lastMove.x, currentMove.x, lastMove.y, currentMove.y),\n duration: currentMove.time - lastMove.time,\n currentDirection: util.getAngle(\n lastMove.x,\n lastMove.y,\n currentMove.x,\n currentMove.y),\n };\n }\n }\n\n for (var i = 0; i < output.data.length; i++) {\n if (velocity < this.escapeVelocity) {\n return null;\n }\n }\n\n if (output.data.length > 0) {\n return output;\n }\n }\n\n return null;\n }\n\n /* end*/\n}\n\nexport default Swipe;\n","/**\n * @file Tap.js\n * Contains the Tap class\n */\n\nimport Gesture from './Gesture.js';\nimport util from './../core/util.js';\n\nconst DEFAULT_MIN_DELAY_MS = 0;\nconst DEFAULT_MAX_DELAY_MS = 300;\nconst DEFAULT_INPUTS = 1;\nconst DEFAULT_MOVE_PX_TOLERANCE = 10;\n\n/**\n * A Tap is defined as a touchstart to touchend event in quick succession.\n * @class Tap\n */\nclass Tap extends Gesture {\n /**\n * Constructor function for the Tap class.\n * @param {Object} [options] - The options object.\n * @param {Number} [options.minDelay=0] - The minimum delay between a\n * touchstart and touchend can be configured in milliseconds.\n * @param {Number} [options.maxDelay=300] - The maximum delay between a\n * touchstart and touchend can be configured in milliseconds.\n * @param {Number} [options.numInputs=1] - Number of inputs for Tap gesture.\n * @param {Number} [options.tolerance=10] - The tolerance in pixels\n * a user can move.\n */\n constructor(options) {\n super();\n\n /**\n * The type of the Gesture.\n * @type {String}\n */\n this.type = 'tap';\n\n /**\n * The minimum amount between a touchstart and a touchend can be configured\n * in milliseconds. The minimum delay starts to count down when the expected\n * number of inputs are on the screen, and ends when ALL inputs are off the\n * screen.\n * @type {Number}\n */\n this.minDelay = (options && options.minDelay) ?\n options.minDelay : DEFAULT_MIN_DELAY_MS;\n\n /**\n * The maximum delay between a touchstart and touchend can be configured in\n * milliseconds. The maximum delay starts to count down when the expected\n * number of inputs are on the screen, and ends when ALL inputs are off the\n * screen.\n * @type {Number}\n */\n this.maxDelay = (options && options.maxDelay) ?\n options.maxDelay : DEFAULT_MAX_DELAY_MS;\n\n /**\n * The number of inputs to trigger a Tap can be variable,\n * and the maximum number being a factor of the browser.\n * @type {Number}\n */\n this.numInputs = (options && options.numInputs) ?\n options.numInputs : DEFAULT_INPUTS;\n\n /**\n * A move tolerance in pixels allows some slop between a user's start to end\n * events. This allows the Tap gesture to be triggered more easily.\n * @type {number}\n */\n this.tolerance = (options && options.tolerance) ?\n options.tolerance : DEFAULT_MOVE_PX_TOLERANCE;\n }\n\n /* constructor*/\n\n /**\n * Event hook for the start of a gesture. Keeps track of when the inputs\n * trigger the start event.\n * @param {Array} inputs - The array of Inputs on the screen.\n * @return {null} - Tap does not trigger on a start event.\n */\n start(inputs) {\n if (inputs.length === this.numInputs) {\n inputs.forEach((input) => {\n let progress = input.getGestureProgress(this.type);\n progress.start = new Date().getTime();\n });\n }\n\n return null;\n }\n\n /* start*/\n\n /**\n * Event hook for the move of a gesture. The Tap event reaches here if the\n * user starts to move their input before an 'end' event is reached.\n * @param {Array} inputs - The array of Inputs on the screen.\n * @param {Object} state - The state object of the current region.\n * @param {Element} element - The element associated to the binding.\n * @return {null} - Tap does not trigger on a move event.\n */\n move(inputs, state, element) {\n for (let i = 0; i < inputs.length; i++) {\n if (inputs[i].getCurrentEventType() === 'move') {\n let current = inputs[i].current;\n let previous = inputs[i].previous;\n if (!util.isWithin(\n current.x,\n current.y,\n previous.x,\n previous.y,\n this.tolerance)) {\n let type = this.type;\n inputs.forEach(function(input) {\n input.resetProgress(type);\n });\n\n return null;\n }\n }\n }\n\n return null;\n }\n\n /* move*/\n\n /**\n * Event hook for the end of a gesture.\n * Determines if this the tap event can be fired if the delay and tolerance\n * constraints are met. Also waits for all of the inputs to be off the screen\n * before determining if the gesture is triggered.\n * @param {Array} inputs - The array of Inputs on the screen.\n * @return {null|Object} - null if the gesture is not to be emitted,\n * Object with information otherwise. Returns the interval time between start\n * and end events.\n */\n end(inputs) {\n if (inputs.length !== this.numInputs) {\n return null;\n }\n\n let startTime = Number.MAX_VALUE;\n for (let i = 0; i < inputs.length; i++) {\n if (inputs[i].getCurrentEventType() !== 'end') {\n return null;\n }\n\n let progress = inputs[i].getGestureProgress(this.type);\n if (!progress.start) {\n return null;\n }\n\n // Find the most recent input's startTime\n if (progress.start < startTime) {\n startTime = progress.start;\n }\n }\n\n let interval = new Date().getTime() - startTime;\n if ((this.minDelay <= interval) && (this.maxDelay >= interval)) {\n return {\n interval: interval,\n };\n } else {\n let type = this.type;\n inputs.forEach(function(input) {\n input.resetProgress(type);\n });\n\n return null;\n }\n }\n\n /* end*/\n}\n\nexport default Tap;\n"],"sourceRoot":""}
```
|
/content/code_sandbox/dist/zingtouch.js.map
|
unknown
| 2016-03-15T20:49:25
| 2024-08-16T15:00:47
|
zingtouch
|
zingchart/zingtouch
| 2,112
| 37,999
|
```javascript
/*!
*
* ZingTouch v2.0.0
* Author: ZingChart path_to_url
*/
/******/ (function(modules) { // webpackBootstrap
/******/ // The module cache
/******/ var installedModules = {};
/******/
/******/ // The require function
/******/ function __webpack_require__(moduleId) {
/******/
/******/ // Check if module is in cache
/******/ if(installedModules[moduleId]) {
/******/ return installedModules[moduleId].exports;
/******/ }
/******/ // Create a new module (and put it into the cache)
/******/ var module = installedModules[moduleId] = {
/******/ i: moduleId,
/******/ l: false,
/******/ exports: {}
/******/ };
/******/
/******/ // Execute the module function
/******/ modules[moduleId].call(module.exports, module, module.exports, __webpack_require__);
/******/
/******/ // Flag the module as loaded
/******/ module.l = true;
/******/
/******/ // Return the exports of the module
/******/ return module.exports;
/******/ }
/******/
/******/
/******/ // expose the modules object (__webpack_modules__)
/******/ __webpack_require__.m = modules;
/******/
/******/ // expose the module cache
/******/ __webpack_require__.c = installedModules;
/******/
/******/ // define getter function for harmony exports
/******/ __webpack_require__.d = function(exports, name, getter) {
/******/ if(!__webpack_require__.o(exports, name)) {
/******/ Object.defineProperty(exports, name, { enumerable: true, get: getter });
/******/ }
/******/ };
/******/
/******/ // define __esModule on exports
/******/ __webpack_require__.r = function(exports) {
/******/ if(typeof Symbol !== 'undefined' && Symbol.toStringTag) {
/******/ Object.defineProperty(exports, Symbol.toStringTag, { value: 'Module' });
/******/ }
/******/ Object.defineProperty(exports, '__esModule', { value: true });
/******/ };
/******/
/******/ // create a fake namespace object
/******/ // mode & 1: value is a module id, require it
/******/ // mode & 2: merge all properties of value into the ns
/******/ // mode & 4: return value when already ns object
/******/ // mode & 8|1: behave like require
/******/ __webpack_require__.t = function(value, mode) {
/******/ if(mode & 1) value = __webpack_require__(value);
/******/ if(mode & 8) return value;
/******/ if((mode & 4) && typeof value === 'object' && value && value.__esModule) return value;
/******/ var ns = Object.create(null);
/******/ __webpack_require__.r(ns);
/******/ Object.defineProperty(ns, 'default', { enumerable: true, value: value });
/******/ if(mode & 2 && typeof value != 'string') for(var key in value) __webpack_require__.d(ns, key, function(key) { return value[key]; }.bind(null, key));
/******/ return ns;
/******/ };
/******/
/******/ // getDefaultExport function for compatibility with non-harmony modules
/******/ __webpack_require__.n = function(module) {
/******/ var getter = module && module.__esModule ?
/******/ function getDefault() { return module['default']; } :
/******/ function getModuleExports() { return module; };
/******/ __webpack_require__.d(getter, 'a', getter);
/******/ return getter;
/******/ };
/******/
/******/ // Object.prototype.hasOwnProperty.call
/******/ __webpack_require__.o = function(object, property) { return Object.prototype.hasOwnProperty.call(object, property); };
/******/
/******/ // __webpack_public_path__
/******/ __webpack_require__.p = "";
/******/
/******/
/******/ // Load entry module and return exports
/******/ return __webpack_require__(__webpack_require__.s = "./src/core/main.js");
/******/ })
/************************************************************************/
/******/ ({
/***/ "./src/ZingTouch.js":
/*!**************************!*\
!*** ./src/ZingTouch.js ***!
\**************************/
/*! exports provided: default */
/***/ (function(module, __webpack_exports__, __webpack_require__) {
"use strict";
__webpack_require__.r(__webpack_exports__);
/* harmony import */ var _core_classes_Region_js__WEBPACK_IMPORTED_MODULE_0__ = __webpack_require__(/*! ./core/classes/Region.js */ "./src/core/classes/Region.js");
/* harmony import */ var _gestures_Gesture_js__WEBPACK_IMPORTED_MODULE_1__ = __webpack_require__(/*! ./gestures/Gesture.js */ "./src/gestures/Gesture.js");
/* harmony import */ var _gestures_Pan_js__WEBPACK_IMPORTED_MODULE_2__ = __webpack_require__(/*! ./gestures/Pan.js */ "./src/gestures/Pan.js");
/* harmony import */ var _gestures_Distance_js__WEBPACK_IMPORTED_MODULE_3__ = __webpack_require__(/*! ./gestures/Distance.js */ "./src/gestures/Distance.js");
/* harmony import */ var _gestures_Rotate_js__WEBPACK_IMPORTED_MODULE_4__ = __webpack_require__(/*! ./gestures/Rotate.js */ "./src/gestures/Rotate.js");
/* harmony import */ var _gestures_Swipe_js__WEBPACK_IMPORTED_MODULE_5__ = __webpack_require__(/*! ./gestures/Swipe.js */ "./src/gestures/Swipe.js");
/* harmony import */ var _gestures_Tap_js__WEBPACK_IMPORTED_MODULE_6__ = __webpack_require__(/*! ./gestures/Tap.js */ "./src/gestures/Tap.js");
/**
* @file ZingTouch.js
* Main object containing API methods and Gesture constructors
*/
/**
* The global API interface for ZingTouch. Contains a constructor for the
* Region Object, and constructors for each predefined Gesture.
* @type {Object}
* @namespace ZingTouch
*/
var ZingTouch = {
_regions: [],
// Constructors
Gesture: _gestures_Gesture_js__WEBPACK_IMPORTED_MODULE_1__["default"],
Pan: _gestures_Pan_js__WEBPACK_IMPORTED_MODULE_2__["default"],
Distance: _gestures_Distance_js__WEBPACK_IMPORTED_MODULE_3__["default"],
Rotate: _gestures_Rotate_js__WEBPACK_IMPORTED_MODULE_4__["default"],
Swipe: _gestures_Swipe_js__WEBPACK_IMPORTED_MODULE_5__["default"],
Tap: _gestures_Tap_js__WEBPACK_IMPORTED_MODULE_6__["default"],
Region: function Region(element, capture, preventDefault) {
var id = ZingTouch._regions.length;
var region = new _core_classes_Region_js__WEBPACK_IMPORTED_MODULE_0__["default"](element, capture, preventDefault, id);
ZingTouch._regions.push(region);
return region;
}
};
/* harmony default export */ __webpack_exports__["default"] = (ZingTouch);
/***/ }),
/***/ "./src/core/arbiter.js":
/*!*****************************!*\
!*** ./src/core/arbiter.js ***!
\*****************************/
/*! exports provided: default */
/***/ (function(module, __webpack_exports__, __webpack_require__) {
"use strict";
__webpack_require__.r(__webpack_exports__);
/* harmony import */ var _dispatcher_js__WEBPACK_IMPORTED_MODULE_0__ = __webpack_require__(/*! ./dispatcher.js */ "./src/core/dispatcher.js");
/* harmony import */ var _interpreter_js__WEBPACK_IMPORTED_MODULE_1__ = __webpack_require__(/*! ./interpreter.js */ "./src/core/interpreter.js");
/* harmony import */ var _util_js__WEBPACK_IMPORTED_MODULE_2__ = __webpack_require__(/*! ./util.js */ "./src/core/util.js");
/**
* @file arbiter.js
* Contains logic for the dispatcher
*/
/**
* Function that handles event flow, negotiating with the interpreter,
* and dispatcher.
* 1. Receiving all touch events in the window.
* 2. Determining which gestures are linked to the target element.
* 3. Negotiating with the Interpreter what event should occur.
* 4. Sending events to the dispatcher to emit events to the target.
* @param {Event} event - The event emitted from the window object.
* @param {Object} region - The region object of the current listener.
*/
function arbiter(event, region) {
var state = region.state;
var eventType = _util_js__WEBPACK_IMPORTED_MODULE_2__["default"].normalizeEvent[event.type];
/*
Return if a gesture is not in progress and won't be. Also catches the case
where a previous event is in a partial state (2 finger pan, waits for both
inputs to reach touchend)
*/
if (state.inputs.length === 0 && eventType !== 'start') {
return;
}
/*
Check for 'stale' or events that lost focus
(e.g. a pan goes off screen/off region.)
Does not affect mobile devices.
*/
if (typeof event.buttons !== 'undefined' && eventType !== 'end' && event.buttons === 0) {
state.resetInputs();
return;
} // Update the state with the new events. If the event is stopped, return;
if (!state.updateInputs(event, region.element)) {
return;
} // Retrieve the initial target from any one of the inputs
var bindings = state.retrieveBindingsByInitialPos();
if (bindings.length > 0) {
if (region.preventDefault) {
_util_js__WEBPACK_IMPORTED_MODULE_2__["default"].setMSPreventDefault(region.element);
_util_js__WEBPACK_IMPORTED_MODULE_2__["default"].preventDefault(event);
} else {
_util_js__WEBPACK_IMPORTED_MODULE_2__["default"].removeMSPreventDefault(region.element);
}
var toBeDispatched = {};
var gestures = Object(_interpreter_js__WEBPACK_IMPORTED_MODULE_1__["default"])(bindings, event, state);
/* Determine the deepest path index to emit the event
from, to avoid duplicate events being fired. */
var path = _util_js__WEBPACK_IMPORTED_MODULE_2__["default"].getPropagationPath(event);
gestures.forEach(function (gesture) {
var id = gesture.binding.gesture.getId();
if (toBeDispatched[id]) {
if (_util_js__WEBPACK_IMPORTED_MODULE_2__["default"].getPathIndex(path, gesture.binding.element) < _util_js__WEBPACK_IMPORTED_MODULE_2__["default"].getPathIndex(path, toBeDispatched[id].binding.element)) {
toBeDispatched[id] = gesture;
}
} else {
toBeDispatched[id] = gesture;
}
});
Object.keys(toBeDispatched).forEach(function (index) {
var gesture = toBeDispatched[index];
Object(_dispatcher_js__WEBPACK_IMPORTED_MODULE_0__["default"])(gesture.binding, gesture.data, gesture.events);
});
}
var endCount = 0;
state.inputs.forEach(function (input) {
if (input.getCurrentEventType() === 'end') {
endCount++;
}
});
if (endCount === state.inputs.length) {
state.resetInputs();
}
}
/* harmony default export */ __webpack_exports__["default"] = (arbiter);
/***/ }),
/***/ "./src/core/classes/Binder.js":
/*!************************************!*\
!*** ./src/core/classes/Binder.js ***!
\************************************/
/*! exports provided: default */
/***/ (function(module, __webpack_exports__, __webpack_require__) {
"use strict";
__webpack_require__.r(__webpack_exports__);
function _classCallCheck(instance, Constructor) { if (!(instance instanceof Constructor)) { throw new TypeError("Cannot call a class as a function"); } }
/**
* @file Binder.js
*/
/**
* A chainable object that contains a single element to be bound upon.
* Called from ZingTouch.bind(), and is used to chain over gesture callbacks.
* @class
*/
var Binder =
/**
* Constructor function for the Binder class.
* @param {Element} element - The element to bind gestures to.
* @param {Boolean} bindOnce - Option to bind once and only emit
* the event once.
* @param {Object} state - The state of the Region that is being bound to.
* @return {Object} - Returns 'this' to be chained over and over again.
*/
function Binder(element, bindOnce, state) {
var _this = this;
_classCallCheck(this, Binder);
/**
* The element to bind gestures to.
* @type {Element}
*/
this.element = element;
Object.keys(state.registeredGestures).forEach(function (key) {
_this[key] = function (handler, capture) {
state.addBinding(_this.element, key, handler, capture, bindOnce);
return _this;
};
});
};
/* harmony default export */ __webpack_exports__["default"] = (Binder);
/***/ }),
/***/ "./src/core/classes/Binding.js":
/*!*************************************!*\
!*** ./src/core/classes/Binding.js ***!
\*************************************/
/*! exports provided: default */
/***/ (function(module, __webpack_exports__, __webpack_require__) {
"use strict";
__webpack_require__.r(__webpack_exports__);
function _classCallCheck(instance, Constructor) { if (!(instance instanceof Constructor)) { throw new TypeError("Cannot call a class as a function"); } }
/**
* @file Binding.js
*/
/**
* Responsible for creating a binding between an element and a gesture.
* @class Binding
*/
var Binding =
/**
* Constructor function for the Binding class.
* @param {Element} element - The element to associate the gesture to.
* @param {Gesture} gesture - A instance of the Gesture type.
* @param {Function} handler - The function handler to execute when a
* gesture is recognized
* on the associated element.
* @param {Boolean} [capture=false] - A boolean signifying if the event is
* to be emitted during
* the capture or bubble phase.
* @param {Boolean} [bindOnce=false] - A boolean flag
* used for the bindOnce syntax.
*/
function Binding(element, gesture, handler, capture, bindOnce) {
_classCallCheck(this, Binding);
/**
* The element to associate the gesture to.
* @type {Element}
*/
this.element = element;
/**
* A instance of the Gesture type.
* @type {Gesture}
*/
this.gesture = gesture;
/**
* The function handler to execute when a gesture is
* recognized on the associated element.
* @type {Function}
*/
this.handler = handler;
/**
* A boolean signifying if the event is to be
* emitted during the capture or bubble phase.
* @type {Boolean}
*/
this.capture = typeof capture !== 'undefined' ? capture : false;
/**
* A boolean flag used for the bindOnce syntax.
* @type {Boolean}
*/
this.bindOnce = typeof bindOnce !== 'undefined' ? bindOnce : false;
};
/* harmony default export */ __webpack_exports__["default"] = (Binding);
/***/ }),
/***/ "./src/core/classes/Input.js":
/*!***********************************!*\
!*** ./src/core/classes/Input.js ***!
\***********************************/
/*! exports provided: default */
/***/ (function(module, __webpack_exports__, __webpack_require__) {
"use strict";
__webpack_require__.r(__webpack_exports__);
/* harmony import */ var _ZingEvent_js__WEBPACK_IMPORTED_MODULE_0__ = __webpack_require__(/*! ./ZingEvent.js */ "./src/core/classes/ZingEvent.js");
function _classCallCheck(instance, Constructor) { if (!(instance instanceof Constructor)) { throw new TypeError("Cannot call a class as a function"); } }
function _defineProperties(target, props) { for (var i = 0; i < props.length; i++) { var descriptor = props[i]; descriptor.enumerable = descriptor.enumerable || false; descriptor.configurable = true; if ("value" in descriptor) descriptor.writable = true; Object.defineProperty(target, descriptor.key, descriptor); } }
function _createClass(Constructor, protoProps, staticProps) { if (protoProps) _defineProperties(Constructor.prototype, protoProps); if (staticProps) _defineProperties(Constructor, staticProps); return Constructor; }
/**
* @file Input.js
*/
/**
* Tracks a single input and contains information about the
* current, previous, and initial events.
* Contains the progress of each Input and it's associated gestures.
* @class Input
*/
var Input =
/*#__PURE__*/
function () {
/**
* Constructor function for the Input class.
* @param {Event} event - The Event object from the window
* @param {Number} [identifier=0] - The identifier for each input event
* (taken from event.changedTouches)
*/
function Input(event, identifier) {
_classCallCheck(this, Input);
var currentEvent = new _ZingEvent_js__WEBPACK_IMPORTED_MODULE_0__["default"](event, identifier);
/**
* Holds the initial event object. A touchstart/mousedown event.
* @type {ZingEvent}
*/
this.initial = currentEvent;
/**
* Holds the most current event for this Input, disregarding any other past,
* current, and future events that other Inputs participate in.
* e.g. This event ended in an 'end' event, but another Input is still
* participating in events -- this will not be updated in such cases.
* @type {ZingEvent}
*/
this.current = currentEvent;
/**
* Holds the previous event that took place.
* @type {ZingEvent}
*/
this.previous = currentEvent;
/**
* Refers to the event.touches index, or 0 if a simple mouse event occurred.
* @type {Number}
*/
this.identifier = typeof identifier !== 'undefined' ? identifier : 0;
/**
* Stores internal state between events for
* each gesture based off of the gesture's id.
* @type {Object}
*/
this.progress = {};
}
/**
* Receives an input, updates the internal state of what the input has done.
* @param {Event} event - The event object to wrap with a ZingEvent.
* @param {Number} touchIdentifier - The index of inputs, from event.touches
*/
_createClass(Input, [{
key: "update",
value: function update(event, touchIdentifier) {
this.previous = this.current;
this.current = new _ZingEvent_js__WEBPACK_IMPORTED_MODULE_0__["default"](event, touchIdentifier);
}
/**
* Returns the progress of the specified gesture.
* @param {String} id - The identifier for each unique Gesture's progress.
* @return {Object} - The progress of the gesture.
* Creates an empty object if no progress has begun.
*/
}, {
key: "getGestureProgress",
value: function getGestureProgress(id) {
if (!this.progress[id]) {
this.progress[id] = {};
}
return this.progress[id];
}
/**
* Returns the normalized current Event's type.
* @return {String} The current event's type ( start | move | end )
*/
}, {
key: "getCurrentEventType",
value: function getCurrentEventType() {
return this.current.type;
}
/**
* Resets a progress/state object of the specified gesture.
* @param {String} id - The identifier of the specified gesture
*/
}, {
key: "resetProgress",
value: function resetProgress(id) {
this.progress[id] = {};
}
}]);
return Input;
}();
/* harmony default export */ __webpack_exports__["default"] = (Input);
/***/ }),
/***/ "./src/core/classes/Region.js":
/*!************************************!*\
!*** ./src/core/classes/Region.js ***!
\************************************/
/*! exports provided: default */
/***/ (function(module, __webpack_exports__, __webpack_require__) {
"use strict";
__webpack_require__.r(__webpack_exports__);
/* harmony import */ var _Binder_js__WEBPACK_IMPORTED_MODULE_0__ = __webpack_require__(/*! ./Binder.js */ "./src/core/classes/Binder.js");
/* harmony import */ var _gestures_Gesture_js__WEBPACK_IMPORTED_MODULE_1__ = __webpack_require__(/*! ./../../gestures/Gesture.js */ "./src/gestures/Gesture.js");
/* harmony import */ var _arbiter_js__WEBPACK_IMPORTED_MODULE_2__ = __webpack_require__(/*! ./../arbiter.js */ "./src/core/arbiter.js");
/* harmony import */ var _State_js__WEBPACK_IMPORTED_MODULE_3__ = __webpack_require__(/*! ./State.js */ "./src/core/classes/State.js");
function _classCallCheck(instance, Constructor) { if (!(instance instanceof Constructor)) { throw new TypeError("Cannot call a class as a function"); } }
function _defineProperties(target, props) { for (var i = 0; i < props.length; i++) { var descriptor = props[i]; descriptor.enumerable = descriptor.enumerable || false; descriptor.configurable = true; if ("value" in descriptor) descriptor.writable = true; Object.defineProperty(target, descriptor.key, descriptor); } }
function _createClass(Constructor, protoProps, staticProps) { if (protoProps) _defineProperties(Constructor.prototype, protoProps); if (staticProps) _defineProperties(Constructor, staticProps); return Constructor; }
/**
* @file Region.js
*/
/**
* Allows the user to specify a region to capture all events to feed ZingTouch
* into. This can be as narrow as the element itself, or as big as the document
* itself. The more specific an area, the better performant the overall
* application will perform. Contains API methods to bind/unbind specific
* elements to corresponding gestures. Also contains the ability to
* register/unregister new gestures.
* @class Region
*/
var Region =
/*#__PURE__*/
function () {
/**
* Constructor function for the Region class.
* @param {Element} element - The element to capture all
* window events in that region to feed into ZingTouch.
* @param {boolean} [capture=false] - Whether the region listens for
* captures or bubbles.
* @param {boolean} [preventDefault=true] - Whether the default browser
* functionality should be disabled;
* @param {Number} id - The id of the region, assigned by the ZingTouch object
*/
function Region(element, capture, preventDefault, id) {
var _this = this;
_classCallCheck(this, Region);
/**
* The identifier for the Region. This is assigned by the ZingTouch object
* and is used to hash gesture id for uniqueness.
* @type {Number}
*/
this.id = id;
/**
* The element being bound to.
* @type {Element}
*/
this.element = element;
/**
* Whether the region listens for captures or bubbles.
* @type {boolean}
*/
this.capture = typeof capture !== 'undefined' ? capture : false;
/**
* Boolean to disable browser functionality such as scrolling and zooming
* over the region
* @type {boolean}
*/
this.preventDefault = typeof preventDefault !== 'undefined' ? preventDefault : true;
/**
* The internal state object for a Region.
* Keeps track of registered gestures, inputs, and events.
* @type {State}
*/
this.state = new _State_js__WEBPACK_IMPORTED_MODULE_3__["default"](id);
var eventNames = [];
if (window.PointerEvent && !window.TouchEvent) {
eventNames = ['pointerdown', 'pointermove', 'pointerup'];
} else {
eventNames = ['mousedown', 'mousemove', 'mouseup', 'touchstart', 'touchmove', 'touchend'];
} // Bind detected browser events to the region element.
eventNames.forEach(function (name) {
element.addEventListener(name, function (e) {
Object(_arbiter_js__WEBPACK_IMPORTED_MODULE_2__["default"])(e, _this);
}, _this.capture);
});
}
/**
* Bind an element to a registered/unregistered gesture with
* multiple function signatures.
* @example
* bind(element) - chainable
* @example
* bind(element, gesture, handler, [capture])
* @param {Element} element - The element object.
* @param {String|Object} [gesture] - Gesture key, or a Gesture object.
* @param {Function} [handler] - The function to execute when an event is
* emitted.
* @param {Boolean} [capture] - capture/bubble
* @param {Boolean} [bindOnce = false] - Option to bind once and
* only emit the event once.
* @return {Object} - a chainable object that has the same function as bind.
*/
_createClass(Region, [{
key: "bind",
value: function bind(element, gesture, handler, capture, bindOnce) {
if (!element || element && !element.tagName) {
throw 'Bind must contain an element';
}
bindOnce = typeof bindOnce !== 'undefined' ? bindOnce : false;
if (!gesture) {
return new _Binder_js__WEBPACK_IMPORTED_MODULE_0__["default"](element, bindOnce, this.state);
} else {
this.state.addBinding(element, gesture, handler, capture, bindOnce);
}
}
/**
* Bind an element and sets up actions to remove the binding once
* it has been emitted for the first time.
* 1. bind(element) - chainable
* 2. bind(element, gesture, handler, [capture])
* @param {Element} element - The element object.
* @param {String|Object} gesture - Gesture key, or a Gesture object.
* @param {Function} handler - The function to execute when an
* event is emitted.
* @param {Boolean} capture - capture/bubble
* @return {Object} - a chainable object that has the same function as bind.
*/
}, {
key: "bindOnce",
value: function bindOnce(element, gesture, handler, capture) {
this.bind(element, gesture, handler, capture, true);
}
/**
* Unbinds an element from either the specified gesture
* or all if no element is specified.
* @param {Element} element -The element to remove.
* @param {String | Object} [gesture] - A String representing the gesture,
* or the actual object being used.
* @return {Array} - An array of Bindings that were unbound to the element;
*/
}, {
key: "unbind",
value: function unbind(element, gesture) {
var _this2 = this;
var bindings = this.state.retrieveBindingsByElement(element);
var unbound = [];
bindings.forEach(function (binding) {
if (gesture) {
if (typeof gesture === 'string' && _this2.state.registeredGestures[gesture]) {
var registeredGesture = _this2.state.registeredGestures[gesture];
if (registeredGesture.id === binding.gesture.id) {
element.removeEventListener(binding.gesture.getId(), binding.handler, binding.capture);
unbound.push(binding);
}
}
} else {
element.removeEventListener(binding.gesture.getId(), binding.handler, binding.capture);
unbound.push(binding);
}
});
return unbound;
}
/* unbind*/
/**
* Registers a new gesture with an assigned key
* @param {String} key - The key used to register an element to that gesture
* @param {Gesture} gesture - A gesture object
*/
}, {
key: "register",
value: function register(key, gesture) {
if (typeof key !== 'string') {
throw new Error('Parameter key is an invalid string');
}
if (!gesture instanceof _gestures_Gesture_js__WEBPACK_IMPORTED_MODULE_1__["default"]) {
throw new Error('Parameter gesture is an invalid Gesture object');
}
gesture.setType(key);
this.state.registerGesture(gesture, key);
}
/* register*/
/**
* Un-registers a gesture from the Region's state such that
* it is no longer emittable.
* Unbinds all events that were registered with the type.
* @param {String|Object} key - Gesture key that was used to
* register the object
* @return {Object} - The Gesture object that was unregistered
* or null if it could not be found.
*/
}, {
key: "unregister",
value: function unregister(key) {
this.state.bindings.forEach(function (binding) {
if (binding.gesture.getType() === key) {
binding.element.removeEventListener(binding.gesture.getId(), binding.handler, binding.capture);
}
});
var registeredGesture = this.state.registeredGestures[key];
delete this.state.registeredGestures[key];
return registeredGesture;
}
}]);
return Region;
}();
/* harmony default export */ __webpack_exports__["default"] = (Region);
/***/ }),
/***/ "./src/core/classes/State.js":
/*!***********************************!*\
!*** ./src/core/classes/State.js ***!
\***********************************/
/*! exports provided: default */
/***/ (function(module, __webpack_exports__, __webpack_require__) {
"use strict";
__webpack_require__.r(__webpack_exports__);
/* harmony import */ var _gestures_Gesture_js__WEBPACK_IMPORTED_MODULE_0__ = __webpack_require__(/*! ./../../gestures/Gesture.js */ "./src/gestures/Gesture.js");
/* harmony import */ var _gestures_Pan_js__WEBPACK_IMPORTED_MODULE_1__ = __webpack_require__(/*! ./../../gestures/Pan.js */ "./src/gestures/Pan.js");
/* harmony import */ var _gestures_Distance_js__WEBPACK_IMPORTED_MODULE_2__ = __webpack_require__(/*! ./../../gestures/Distance.js */ "./src/gestures/Distance.js");
/* harmony import */ var _gestures_Rotate_js__WEBPACK_IMPORTED_MODULE_3__ = __webpack_require__(/*! ./../../gestures/Rotate.js */ "./src/gestures/Rotate.js");
/* harmony import */ var _gestures_Swipe_js__WEBPACK_IMPORTED_MODULE_4__ = __webpack_require__(/*! ./../../gestures/Swipe.js */ "./src/gestures/Swipe.js");
/* harmony import */ var _gestures_Tap_js__WEBPACK_IMPORTED_MODULE_5__ = __webpack_require__(/*! ./../../gestures/Tap.js */ "./src/gestures/Tap.js");
/* harmony import */ var _Binding_js__WEBPACK_IMPORTED_MODULE_6__ = __webpack_require__(/*! ./Binding.js */ "./src/core/classes/Binding.js");
/* harmony import */ var _Input_js__WEBPACK_IMPORTED_MODULE_7__ = __webpack_require__(/*! ./Input.js */ "./src/core/classes/Input.js");
/* harmony import */ var _util_js__WEBPACK_IMPORTED_MODULE_8__ = __webpack_require__(/*! ./../util.js */ "./src/core/util.js");
function _typeof(obj) { if (typeof Symbol === "function" && typeof Symbol.iterator === "symbol") { _typeof = function _typeof(obj) { return typeof obj; }; } else { _typeof = function _typeof(obj) { return obj && typeof Symbol === "function" && obj.constructor === Symbol && obj !== Symbol.prototype ? "symbol" : typeof obj; }; } return _typeof(obj); }
function _classCallCheck(instance, Constructor) { if (!(instance instanceof Constructor)) { throw new TypeError("Cannot call a class as a function"); } }
function _defineProperties(target, props) { for (var i = 0; i < props.length; i++) { var descriptor = props[i]; descriptor.enumerable = descriptor.enumerable || false; descriptor.configurable = true; if ("value" in descriptor) descriptor.writable = true; Object.defineProperty(target, descriptor.key, descriptor); } }
function _createClass(Constructor, protoProps, staticProps) { if (protoProps) _defineProperties(Constructor.prototype, protoProps); if (staticProps) _defineProperties(Constructor, staticProps); return Constructor; }
/**
* @file State.js
*/
var DEFAULT_MOUSE_ID = 0;
/**
* Creates an object related to a Region's state,
* and contains helper methods to update and clean up different states.
*/
var State =
/*#__PURE__*/
function () {
/**
* Constructor for the State class.
* @param {String} regionId - The id the region this state is bound to.
*/
function State(regionId) {
_classCallCheck(this, State);
/**
* The id for the region this state is bound to.
* @type {String}
*/
this.regionId = regionId;
/**
* An array of current and recently inactive
* Input objects related to a gesture.
* @type {Input}
*/
this.inputs = [];
/**
* An array of Binding objects; The list of relations between elements,
* their gestures, and the handlers.
* @type {Binding}
*/
this.bindings = [];
/**
* The number of gestures that have been registered with this state
* @type {Number}
*/
this.numGestures = 0;
/**
* A key/value map all the registered gestures for the listener.
* Note: Can only have one gesture registered to one key.
* @type {Object}
*/
this.registeredGestures = {};
this.registerGesture(new _gestures_Pan_js__WEBPACK_IMPORTED_MODULE_1__["default"](), 'pan');
this.registerGesture(new _gestures_Rotate_js__WEBPACK_IMPORTED_MODULE_3__["default"](), 'rotate');
this.registerGesture(new _gestures_Distance_js__WEBPACK_IMPORTED_MODULE_2__["default"](), 'distance');
this.registerGesture(new _gestures_Swipe_js__WEBPACK_IMPORTED_MODULE_4__["default"](), 'swipe');
this.registerGesture(new _gestures_Tap_js__WEBPACK_IMPORTED_MODULE_5__["default"](), 'tap');
}
/**
* Creates a new binding with the given element and gesture object.
* If the gesture object provided is unregistered, it's reference
* will be saved in as a binding to be later referenced.
* @param {Element} element - The element the gesture is bound to.
* @param {String|Object} gesture - Either a name of a registered gesture,
* or an unregistered Gesture object.
* @param {Function} handler - The function handler to be called
* when the event is emitted. Used to bind/unbind.
* @param {Boolean} capture - Whether the gesture is to be
* detected in the capture of bubble phase. Used to bind/unbind.
* @param {Boolean} bindOnce - Option to bind once and
* only emit the event once.
*/
_createClass(State, [{
key: "addBinding",
value: function addBinding(element, gesture, handler, capture, bindOnce) {
var boundGesture; // Error type checking.
if (element && typeof element.tagName === 'undefined') {
throw new Error('Parameter element is an invalid object.');
}
if (typeof handler !== 'function') {
throw new Error('Parameter handler is invalid.');
}
if (typeof gesture === 'string' && Object.keys(this.registeredGestures).indexOf(gesture) === -1) {
throw new Error('Parameter ' + gesture + ' is not a registered gesture');
} else if (_typeof(gesture) === 'object' && !(gesture instanceof _gestures_Gesture_js__WEBPACK_IMPORTED_MODULE_0__["default"])) {
throw new Error('Parameter for the gesture is not of a Gesture type');
}
if (typeof gesture === 'string') {
boundGesture = this.registeredGestures[gesture];
} else {
boundGesture = gesture;
if (boundGesture.id === '') {
this.assignGestureId(boundGesture);
}
}
this.bindings.push(new _Binding_js__WEBPACK_IMPORTED_MODULE_6__["default"](element, boundGesture, handler, capture, bindOnce));
element.addEventListener(boundGesture.getId(), handler, capture);
}
/**
* Retrieves the Binding by which an element is associated to.
* @param {Element} element - The element to find bindings to.
* @return {Array} - An array of Bindings to which that element is bound
*/
}, {
key: "retrieveBindingsByElement",
value: function retrieveBindingsByElement(element) {
return this.bindings.filter(function (b) {
return b.element === element;
});
}
/**
* Retrieves all bindings based upon the initial X/Y position of the inputs.
* e.g. if gesture started on the correct target element,
* but diverted away into the correct region, this would still be valid.
* @return {Array} - An array of Bindings to which that element is bound
*/
}, {
key: "retrieveBindingsByInitialPos",
value: function retrieveBindingsByInitialPos() {
var _this = this;
return this.bindings.filter(function (binding) {
return _this.inputs.some(function (input) {
return _util_js__WEBPACK_IMPORTED_MODULE_8__["default"].isInside(input.initial.x, input.initial.y, binding.element);
});
});
}
/**
* Updates the inputs with new information based upon a new event being fired.
* @param {Event} event - The event being captured.
* @param {Element} regionElement - The element where
* this current Region is bound to.
* @return {boolean} - returns true for a successful update,
* false if the event is invalid.
*/
}, {
key: "updateInputs",
value: function updateInputs(event, regionElement) {
var _this2 = this;
var eventType = event.touches ? 'TouchEvent' : event.pointerType ? 'PointerEvent' : 'MouseEvent';
switch (eventType) {
case 'TouchEvent':
Array.from(event.changedTouches).forEach(function (touch) {
update(event, _this2, touch.identifier, regionElement);
});
break;
case 'PointerEvent':
update(event, this, event.pointerId, regionElement);
break;
case 'MouseEvent':
default:
update(event, this, DEFAULT_MOUSE_ID, regionElement);
break;
}
return true;
function update(event, state, identifier, regionElement) {
var eventType = _util_js__WEBPACK_IMPORTED_MODULE_8__["default"].normalizeEvent[event.type];
var input = findInputById(state.inputs, identifier); // A starting input was not cleaned up properly and still exists.
if (eventType === 'start' && input) {
state.resetInputs();
return;
} // An input has moved outside the region.
if (eventType !== 'start' && input && !_util_js__WEBPACK_IMPORTED_MODULE_8__["default"].isInside(input.current.x, input.current.y, regionElement)) {
state.resetInputs();
return;
}
if (eventType !== 'start' && !input) {
state.resetInputs();
return;
}
if (eventType === 'start') {
state.inputs.push(new _Input_js__WEBPACK_IMPORTED_MODULE_7__["default"](event, identifier));
} else {
input.update(event, identifier);
}
}
}
/**
* Removes all inputs from the state, allowing for a new gesture.
*/
}, {
key: "resetInputs",
value: function resetInputs() {
this.inputs = [];
}
/**
* Counts the number of active inputs at any given time.
* @return {Number} - The number of active inputs.
*/
}, {
key: "numActiveInputs",
value: function numActiveInputs() {
var endType = this.inputs.filter(function (input) {
return input.current.type !== 'end';
});
return endType.length;
}
/**
* Register the gesture to the current region.
* @param {Object} gesture - The gesture to register
* @param {String} key - The key to define the new gesture as.
*/
}, {
key: "registerGesture",
value: function registerGesture(gesture, key) {
this.assignGestureId(gesture);
this.registeredGestures[key] = gesture;
}
/**
* Tracks the gesture to this state object to become uniquely identifiable.
* Useful for nested Regions.
* @param {Gesture} gesture - The gesture to track
*/
}, {
key: "assignGestureId",
value: function assignGestureId(gesture) {
gesture.setId(this.regionId + '-' + this.numGestures++);
}
}]);
return State;
}();
/**
* Searches through each input, comparing the browser's identifier key
* for touches, to the stored one in each input
* @param {Array} inputs - The array of inputs in state.
* @param {String} identifier - The identifier the browser has assigned.
* @return {Input} - The input object with the corresponding identifier,
* null if it did not find any.
*/
function findInputById(inputs, identifier) {
return inputs.find(function (i) {
return i.identifier === identifier;
});
}
/* harmony default export */ __webpack_exports__["default"] = (State);
/***/ }),
/***/ "./src/core/classes/ZingEvent.js":
/*!***************************************!*\
!*** ./src/core/classes/ZingEvent.js ***!
\***************************************/
/*! exports provided: default */
/***/ (function(module, __webpack_exports__, __webpack_require__) {
"use strict";
__webpack_require__.r(__webpack_exports__);
/* harmony import */ var _util_js__WEBPACK_IMPORTED_MODULE_0__ = __webpack_require__(/*! ../util.js */ "./src/core/util.js");
function _classCallCheck(instance, Constructor) { if (!(instance instanceof Constructor)) { throw new TypeError("Cannot call a class as a function"); } }
/**
* @file ZingEvent.js
* Contains logic for ZingEvents
*/
var INITIAL_COORDINATE = 0;
/**
* An event wrapper that normalizes events across browsers and input devices
* @class ZingEvent
*/
var ZingEvent =
/**
* @constructor
* @param {Event} event - The event object being wrapped.
* @param {Array} event.touches - The number of touches on
* a screen (mobile only).
* @param {Object} event.changedTouches - The TouchList representing
* points that participated in the event.
* @param {Number} touchIdentifier - The index of touch if applicable
*/
function ZingEvent(event, touchIdentifier) {
_classCallCheck(this, ZingEvent);
/**
* The original event object.
* @type {Event}
*/
this.originalEvent = event;
/**
* The type of event or null if it is an event not predetermined.
* @see util.normalizeEvent
* @type {String | null}
*/
this.type = _util_js__WEBPACK_IMPORTED_MODULE_0__["default"].normalizeEvent[event.type];
/**
* The X coordinate for the event, based off of the client.
* @type {number}
*/
this.x = INITIAL_COORDINATE;
/**
* The Y coordinate for the event, based off of the client.
* @type {number}
*/
this.y = INITIAL_COORDINATE;
var eventObj;
if (event.touches && event.changedTouches) {
eventObj = Array.from(event.changedTouches).find(function (t) {
return t.identifier === touchIdentifier;
});
} else {
eventObj = event;
}
this.x = this.clientX = eventObj.clientX;
this.y = this.clientY = eventObj.clientY;
this.pageX = eventObj.pageX;
this.pageY = eventObj.pageY;
this.screenX = eventObj.screenX;
this.screenY = eventObj.screenY;
};
/* harmony default export */ __webpack_exports__["default"] = (ZingEvent);
/***/ }),
/***/ "./src/core/dispatcher.js":
/*!********************************!*\
!*** ./src/core/dispatcher.js ***!
\********************************/
/*! exports provided: default */
/***/ (function(module, __webpack_exports__, __webpack_require__) {
"use strict";
__webpack_require__.r(__webpack_exports__);
/**
* @file dispatcher.js
* Contains logic for the dispatcher
*/
/**
* Emits data at the target element if available, and bubbles up from
* the target to the parent until the document has been reached.
* Called from the arbiter.
* @param {Binding} binding - An object of type Binding
* @param {Object} data - The metadata computed by the gesture being emitted.
* @param {Array} events - An array of ZingEvents
* corresponding to the inputs on the screen.
*/
function dispatcher(binding, data, events) {
data.events = events;
var newEvent = new CustomEvent(binding.gesture.getId(), {
detail: data,
bubbles: true,
cancelable: true
});
emitEvent(binding.element, newEvent, binding);
}
/**
* Emits the new event. Unbinds the event if the event was registered
* at bindOnce.
* @param {Element} target - Element object to emit the event to.
* @param {Event} event - The CustomEvent to emit.
* @param {Binding} binding - An object of type Binding
*/
function emitEvent(target, event, binding) {
target.dispatchEvent(event);
if (binding.bindOnce) {
ZingTouch.unbind(binding.element, binding.gesture.getType());
}
}
/* harmony default export */ __webpack_exports__["default"] = (dispatcher);
/***/ }),
/***/ "./src/core/interpreter.js":
/*!*********************************!*\
!*** ./src/core/interpreter.js ***!
\*********************************/
/*! exports provided: default */
/***/ (function(module, __webpack_exports__, __webpack_require__) {
"use strict";
__webpack_require__.r(__webpack_exports__);
/* harmony import */ var _util_js__WEBPACK_IMPORTED_MODULE_0__ = __webpack_require__(/*! ./util.js */ "./src/core/util.js");
/**
* @file interpreter.js
* Contains logic for the interpreter
*/
/**
* Receives an event and an array of Bindings (element -> gesture handler)
* to determine what event will be emitted. Called from the arbiter.
* @param {Array} bindings - An array containing Binding objects
* that associate the element to an event handler.
* @param {Object} event - The event emitted from the window.
* @param {Object} state - The state object of the current listener.
* @return {Object | null} - Returns an object containing a binding and
* metadata, or null if a gesture will not be emitted.
*/
function interpreter(bindings, event, state) {
var evType = _util_js__WEBPACK_IMPORTED_MODULE_0__["default"].normalizeEvent[event.type];
var events = state.inputs.map(function (input) {
return input.current;
});
var candidates = bindings.reduce(function (accumulator, binding) {
var data = binding.gesture[evType](state.inputs, state, binding.element);
if (data) accumulator.push({
binding: binding,
data: data,
events: events
});
return accumulator;
}, []);
return candidates;
}
/* harmony default export */ __webpack_exports__["default"] = (interpreter);
/***/ }),
/***/ "./src/core/main.js":
/*!**************************!*\
!*** ./src/core/main.js ***!
\**************************/
/*! no exports provided */
/***/ (function(module, __webpack_exports__, __webpack_require__) {
"use strict";
__webpack_require__.r(__webpack_exports__);
/* harmony import */ var _ZingTouch_js__WEBPACK_IMPORTED_MODULE_0__ = __webpack_require__(/*! ./../ZingTouch.js */ "./src/ZingTouch.js");
/**
* @file main.js
* Main file to setup event listeners on the document,
* and to expose the ZingTouch object
*/
window.ZingTouch = _ZingTouch_js__WEBPACK_IMPORTED_MODULE_0__["default"];
/***/ }),
/***/ "./src/core/util.js":
/*!**************************!*\
!*** ./src/core/util.js ***!
\**************************/
/*! exports provided: default */
/***/ (function(module, __webpack_exports__, __webpack_require__) {
"use strict";
__webpack_require__.r(__webpack_exports__);
/**
* @file util.js
* Various accessor and mutator functions to handle state and validation.
*/
var CIRCLE_DEGREES = 360;
var HALF_CIRCLE_DEGREES = 180;
/**
* Contains generic helper functions
* @type {Object}
* @namespace util
*/
var util = {
/**
* Normalizes window events to be either of type start, move, or end.
* @param {String} type - The event type emitted by the browser
* @return {null|String} - The normalized event, or null if it is an
* event not predetermined.
*/
normalizeEvent: Object.freeze({
mousedown: 'start',
touchstart: 'start',
pointerdown: 'start',
mousemove: 'move',
touchmove: 'move',
pointermove: 'move',
mouseup: 'end',
touchend: 'end',
pointerup: 'end'
}),
/* normalizeEvent*/
/**
* Determines if the current and previous coordinates are within or
* up to a certain tolerance.
* @param {Number} currentX - Current event's x coordinate
* @param {Number} currentY - Current event's y coordinate
* @param {Number} previousX - Previous event's x coordinate
* @param {Number} previousY - Previous event's y coordinate
* @param {Number} tolerance - The tolerance in pixel value.
* @return {boolean} - true if the current coordinates are
* within the tolerance, false otherwise
*/
isWithin: function isWithin(currentX, currentY, previousX, previousY, tolerance) {
return Math.abs(currentY - previousY) <= tolerance && Math.abs(currentX - previousX) <= tolerance;
},
/* isWithin*/
/**
* Calculates the distance between two points.
* @param {Number} x0
* @param {Number} x1
* @param {Number} y0
* @param {Number} y1
* @return {number} The numerical value between two points
*/
distanceBetweenTwoPoints: function distanceBetweenTwoPoints(x0, x1, y0, y1) {
var dist = Math.sqrt((x1 - x0) * (x1 - x0) + (y1 - y0) * (y1 - y0));
return Math.round(dist * 100) / 100;
},
/**
* Calculates the midpoint coordinates between two points.
* @param {Number} x0
* @param {Number} x1
* @param {Number} y0
* @param {Number} y1
* @return {Object} The coordinates of the midpoint.
*/
getMidpoint: function getMidpoint(x0, x1, y0, y1) {
return {
x: (x0 + x1) / 2,
y: (y0 + y1) / 2
};
},
/**
* Calculates the angle between the projection and an origin point.
* | (projectionX,projectionY)
* | /
* | /
* | /
* | /
* | /__________
* (originX, originY)
* @param {number} originX
* @param {number} originY
* @param {number} projectionX
* @param {number} projectionY
* @return {number} - Degree along the unit circle where the project lies
*/
getAngle: function getAngle(originX, originY, projectionX, projectionY) {
var angle = Math.atan2(projectionY - originY, projectionX - originX) * (HALF_CIRCLE_DEGREES / Math.PI);
return CIRCLE_DEGREES - (angle < 0 ? CIRCLE_DEGREES + angle : angle);
},
/**
* Calculates the angular distance in degrees between two angles
* along the unit circle
* @param {number} start - The starting point in degrees
* @param {number} end - The ending point in degrees
* @return {number} The number of degrees between the
* starting point and ending point. Negative degrees denote a clockwise
* direction, and positive a counter-clockwise direction.
*/
getAngularDistance: function getAngularDistance(start, end) {
var angle = (end - start) % CIRCLE_DEGREES;
var sign = angle < 0 ? 1 : -1;
angle = Math.abs(angle);
return angle > HALF_CIRCLE_DEGREES ? sign * (CIRCLE_DEGREES - angle) : sign * angle;
},
/**
* Calculates the velocity of pixel/milliseconds between two points
* @param {Number} startX
* @param {Number} startY
* @param {Number} startTime
* @param {Number} endX
* @param {Number} endY
* @param {Number} endTime
* @return {Number} velocity of px/time
*/
getVelocity: function getVelocity(startX, startY, startTime, endX, endY, endTime) {
var distance = this.distanceBetweenTwoPoints(startX, endX, startY, endY);
return distance / (endTime - startTime);
},
/**
* Returns the farthest right input
* @param {Array} inputs
* @return {Object}
*/
getRightMostInput: function getRightMostInput(inputs) {
var rightMost = null;
var distance = Number.MIN_VALUE;
inputs.forEach(function (input) {
if (input.initial.x > distance) {
rightMost = input;
}
});
return rightMost;
},
/**
* Determines is the value is an integer and not a floating point
* @param {Mixed} value
* @return {boolean}
*/
isInteger: function isInteger(value) {
return typeof value === 'number' && value % 1 === 0;
},
/**
* Determines if the x,y position of the input is within then target.
* @param {Number} x -clientX
* @param {Number} y -clientY
* @param {Element} target
* @return {Boolean}
*/
isInside: function isInside(x, y, target) {
var rect = target.getBoundingClientRect();
return x > rect.left && x < rect.left + rect.width && y > rect.top && y < rect.top + rect.height;
},
/**
* Polyfill for event.propagationPath
* @param {Event} event
* @return {Array}
*/
getPropagationPath: function getPropagationPath(event) {
if (event.path) {
return event.path;
} else {
var path = [];
var node = event.target;
while (node != document) {
path.push(node);
node = node.parentNode;
}
return path;
}
},
/**
* Retrieve the index inside the path array
* @param {Array} path
* @param {Element} element
* @return {Element}
*/
getPathIndex: function getPathIndex(path, element) {
var index = path.length;
path.forEach(function (obj, i) {
if (obj === element) {
index = i;
}
});
return index;
},
setMSPreventDefault: function setMSPreventDefault(element) {
element.style['-ms-content-zooming'] = 'none';
element.style['touch-action'] = 'none';
},
removeMSPreventDefault: function removeMSPreventDefault(element) {
element.style['-ms-content-zooming'] = '';
element.style['touch-action'] = '';
},
preventDefault: function preventDefault(event) {
if (event.preventDefault) {
event.preventDefault();
} else {
event.returnValue = false;
}
}
};
/* harmony default export */ __webpack_exports__["default"] = (util);
/***/ }),
/***/ "./src/gestures/Distance.js":
/*!**********************************!*\
!*** ./src/gestures/Distance.js ***!
\**********************************/
/*! exports provided: default */
/***/ (function(module, __webpack_exports__, __webpack_require__) {
"use strict";
__webpack_require__.r(__webpack_exports__);
/* harmony import */ var _Gesture_js__WEBPACK_IMPORTED_MODULE_0__ = __webpack_require__(/*! ./Gesture.js */ "./src/gestures/Gesture.js");
/* harmony import */ var _core_util_js__WEBPACK_IMPORTED_MODULE_1__ = __webpack_require__(/*! ./../core/util.js */ "./src/core/util.js");
function _typeof(obj) { if (typeof Symbol === "function" && typeof Symbol.iterator === "symbol") { _typeof = function _typeof(obj) { return typeof obj; }; } else { _typeof = function _typeof(obj) { return obj && typeof Symbol === "function" && obj.constructor === Symbol && obj !== Symbol.prototype ? "symbol" : typeof obj; }; } return _typeof(obj); }
function _classCallCheck(instance, Constructor) { if (!(instance instanceof Constructor)) { throw new TypeError("Cannot call a class as a function"); } }
function _defineProperties(target, props) { for (var i = 0; i < props.length; i++) { var descriptor = props[i]; descriptor.enumerable = descriptor.enumerable || false; descriptor.configurable = true; if ("value" in descriptor) descriptor.writable = true; Object.defineProperty(target, descriptor.key, descriptor); } }
function _createClass(Constructor, protoProps, staticProps) { if (protoProps) _defineProperties(Constructor.prototype, protoProps); if (staticProps) _defineProperties(Constructor, staticProps); return Constructor; }
function _possibleConstructorReturn(self, call) { if (call && (_typeof(call) === "object" || typeof call === "function")) { return call; } return _assertThisInitialized(self); }
function _assertThisInitialized(self) { if (self === void 0) { throw new ReferenceError("this hasn't been initialised - super() hasn't been called"); } return self; }
function _getPrototypeOf(o) { _getPrototypeOf = Object.setPrototypeOf ? Object.getPrototypeOf : function _getPrototypeOf(o) { return o.__proto__ || Object.getPrototypeOf(o); }; return _getPrototypeOf(o); }
function _inherits(subClass, superClass) { if (typeof superClass !== "function" && superClass !== null) { throw new TypeError("Super expression must either be null or a function"); } subClass.prototype = Object.create(superClass && superClass.prototype, { constructor: { value: subClass, writable: true, configurable: true } }); if (superClass) _setPrototypeOf(subClass, superClass); }
function _setPrototypeOf(o, p) { _setPrototypeOf = Object.setPrototypeOf || function _setPrototypeOf(o, p) { o.__proto__ = p; return o; }; return _setPrototypeOf(o, p); }
/**
* @file Distance.js
* Contains the abstract Distance class
*/
var DEFAULT_INPUTS = 2;
var DEFAULT_MIN_THRESHOLD = 1;
/**
* A Distance is defined as two inputs moving either together or apart.
* @class Distance
*/
var Distance =
/*#__PURE__*/
function (_Gesture) {
_inherits(Distance, _Gesture);
/**
* Constructor function for the Distance class.
* @param {Object} options
*/
function Distance(options) {
var _this;
_classCallCheck(this, Distance);
_this = _possibleConstructorReturn(this, _getPrototypeOf(Distance).call(this));
/**
* The type of the Gesture.
* @type {String}
*/
_this.type = 'distance';
/**
* The minimum amount in pixels the inputs must move until it is fired.
* @type {Number}
*/
_this.threshold = options && options.threshold ? options.threshold : DEFAULT_MIN_THRESHOLD;
return _this;
}
/**
* Event hook for the start of a gesture. Initialized the lastEmitted
* gesture and stores it in the first input for reference events.
* @param {Array} inputs
*/
_createClass(Distance, [{
key: "start",
value: function start(inputs, state, element) {
if (!this.isValid(inputs, state, element)) {
return null;
}
if (inputs.length === DEFAULT_INPUTS) {
// Store the progress in the first input.
var progress = inputs[0].getGestureProgress(this.type);
progress.lastEmittedDistance = _core_util_js__WEBPACK_IMPORTED_MODULE_1__["default"].distanceBetweenTwoPoints(inputs[0].current.x, inputs[1].current.x, inputs[0].current.y, inputs[1].current.y);
}
}
/**
* Event hook for the move of a gesture.
* Determines if the two points are moved in the expected direction relative
* to the current distance and the last distance.
* @param {Array} inputs - The array of Inputs on the screen.
* @param {Object} state - The state object of the current region.
* @param {Element} element - The element associated to the binding.
* @return {Object | null} - Returns the distance in pixels between two inputs
*/
}, {
key: "move",
value: function move(inputs, state, element) {
if (state.numActiveInputs() === DEFAULT_INPUTS) {
var currentDistance = _core_util_js__WEBPACK_IMPORTED_MODULE_1__["default"].distanceBetweenTwoPoints(inputs[0].current.x, inputs[1].current.x, inputs[0].current.y, inputs[1].current.y);
var centerPoint = _core_util_js__WEBPACK_IMPORTED_MODULE_1__["default"].getMidpoint(inputs[0].current.x, inputs[1].current.x, inputs[0].current.y, inputs[1].current.y); // Progress is stored in the first input.
var progress = inputs[0].getGestureProgress(this.type);
var change = currentDistance - progress.lastEmittedDistance;
if (Math.abs(change) >= this.threshold) {
progress.lastEmittedDistance = currentDistance;
return {
distance: currentDistance,
center: centerPoint,
change: change
};
}
}
return null;
}
}]);
return Distance;
}(_Gesture_js__WEBPACK_IMPORTED_MODULE_0__["default"]);
/* harmony default export */ __webpack_exports__["default"] = (Distance);
/***/ }),
/***/ "./src/gestures/Gesture.js":
/*!*********************************!*\
!*** ./src/gestures/Gesture.js ***!
\*********************************/
/*! exports provided: default */
/***/ (function(module, __webpack_exports__, __webpack_require__) {
"use strict";
__webpack_require__.r(__webpack_exports__);
/* harmony import */ var _core_util_js__WEBPACK_IMPORTED_MODULE_0__ = __webpack_require__(/*! ./../core/util.js */ "./src/core/util.js");
function _classCallCheck(instance, Constructor) { if (!(instance instanceof Constructor)) { throw new TypeError("Cannot call a class as a function"); } }
function _defineProperties(target, props) { for (var i = 0; i < props.length; i++) { var descriptor = props[i]; descriptor.enumerable = descriptor.enumerable || false; descriptor.configurable = true; if ("value" in descriptor) descriptor.writable = true; Object.defineProperty(target, descriptor.key, descriptor); } }
function _createClass(Constructor, protoProps, staticProps) { if (protoProps) _defineProperties(Constructor.prototype, protoProps); if (staticProps) _defineProperties(Constructor, staticProps); return Constructor; }
/**
* @file Gesture.js
* Contains the Gesture class
*/
/**
* The Gesture class that all gestures inherit from.
*/
var Gesture =
/*#__PURE__*/
function () {
/**
* Constructor function for the Gesture class.
* @class Gesture
*/
function Gesture() {
_classCallCheck(this, Gesture);
/**
* The generic string type of gesture ('expand'|'distance'|
* 'rotate'|'swipe'|'tap').
* @type {String}
*/
this.type = null;
/**
* The unique identifier for each gesture determined at bind time by the
* state object. This allows for distinctions across instance variables of
* Gestures that are created on the fly (e.g. Tap-1, Tap-2, etc).
* @type {String|null}
*/
this.id = null;
}
/**
* Set the type of the gesture to be called during an event
* @param {String} type - The unique identifier of the gesture being created.
*/
_createClass(Gesture, [{
key: "setType",
value: function setType(type) {
this.type = type;
}
/**
* getType() - Returns the generic type of the gesture
* @return {String} - The type of gesture
*/
}, {
key: "getType",
value: function getType() {
return this.type;
}
/**
* Set the id of the gesture to be called during an event
* @param {String} id - The unique identifier of the gesture being created.
*/
}, {
key: "setId",
value: function setId(id) {
this.id = id;
}
/**
* Return the id of the event. If the id does not exist, return the type.
* @return {String}
*/
}, {
key: "getId",
value: function getId() {
return this.id !== null ? this.id : this.type;
}
/**
* Updates internal properties with new ones, only if the properties exist.
* @param {Object} object
*/
}, {
key: "update",
value: function update(object) {
var _this = this;
Object.keys(object).forEach(function (key) {
_this[key] = object[key];
});
}
/**
* start() - Event hook for the start of a gesture
* @param {Array} inputs - The array of Inputs on the screen
* @param {Object} state - The state object of the current region.
* @param {Element} element - The element associated to the binding.
* @return {null|Object} - Default of null
*/
}, {
key: "start",
value: function start(inputs, state, element) {
return null;
}
/**
* move() - Event hook for the move of a gesture
* @param {Array} inputs - The array of Inputs on the screen
* @param {Object} state - The state object of the current region.
* @param {Element} element - The element associated to the binding.
* @return {null|Object} - Default of null
*/
}, {
key: "move",
value: function move(inputs, state, element) {
return null;
}
/**
* end() - Event hook for the move of a gesture
* @param {Array} inputs - The array of Inputs on the screen
* @return {null|Object} - Default of null
*/
}, {
key: "end",
value: function end(inputs) {
return null;
}
/**
* isValid() - Pre-checks to ensure the invariants of a gesture are satisfied.
* @param {Array} inputs - The array of Inputs on the screen
* @param {Object} state - The state object of the current region.
* @param {Element} element - The element associated to the binding.
* @return {boolean} - If the gesture is valid
*/
}, {
key: "isValid",
value: function isValid(inputs, state, element) {
return inputs.every(function (input) {
return _core_util_js__WEBPACK_IMPORTED_MODULE_0__["default"].isInside(input.initial.x, input.initial.y, element);
});
}
}]);
return Gesture;
}();
/* harmony default export */ __webpack_exports__["default"] = (Gesture);
/***/ }),
/***/ "./src/gestures/Pan.js":
/*!*****************************!*\
!*** ./src/gestures/Pan.js ***!
\*****************************/
/*! exports provided: default */
/***/ (function(module, __webpack_exports__, __webpack_require__) {
"use strict";
__webpack_require__.r(__webpack_exports__);
/* harmony import */ var _Gesture_js__WEBPACK_IMPORTED_MODULE_0__ = __webpack_require__(/*! ./Gesture.js */ "./src/gestures/Gesture.js");
/* harmony import */ var _core_util_js__WEBPACK_IMPORTED_MODULE_1__ = __webpack_require__(/*! ./../core/util.js */ "./src/core/util.js");
function _typeof(obj) { if (typeof Symbol === "function" && typeof Symbol.iterator === "symbol") { _typeof = function _typeof(obj) { return typeof obj; }; } else { _typeof = function _typeof(obj) { return obj && typeof Symbol === "function" && obj.constructor === Symbol && obj !== Symbol.prototype ? "symbol" : typeof obj; }; } return _typeof(obj); }
function _classCallCheck(instance, Constructor) { if (!(instance instanceof Constructor)) { throw new TypeError("Cannot call a class as a function"); } }
function _defineProperties(target, props) { for (var i = 0; i < props.length; i++) { var descriptor = props[i]; descriptor.enumerable = descriptor.enumerable || false; descriptor.configurable = true; if ("value" in descriptor) descriptor.writable = true; Object.defineProperty(target, descriptor.key, descriptor); } }
function _createClass(Constructor, protoProps, staticProps) { if (protoProps) _defineProperties(Constructor.prototype, protoProps); if (staticProps) _defineProperties(Constructor, staticProps); return Constructor; }
function _possibleConstructorReturn(self, call) { if (call && (_typeof(call) === "object" || typeof call === "function")) { return call; } return _assertThisInitialized(self); }
function _assertThisInitialized(self) { if (self === void 0) { throw new ReferenceError("this hasn't been initialised - super() hasn't been called"); } return self; }
function _getPrototypeOf(o) { _getPrototypeOf = Object.setPrototypeOf ? Object.getPrototypeOf : function _getPrototypeOf(o) { return o.__proto__ || Object.getPrototypeOf(o); }; return _getPrototypeOf(o); }
function _inherits(subClass, superClass) { if (typeof superClass !== "function" && superClass !== null) { throw new TypeError("Super expression must either be null or a function"); } subClass.prototype = Object.create(superClass && superClass.prototype, { constructor: { value: subClass, writable: true, configurable: true } }); if (superClass) _setPrototypeOf(subClass, superClass); }
function _setPrototypeOf(o, p) { _setPrototypeOf = Object.setPrototypeOf || function _setPrototypeOf(o, p) { o.__proto__ = p; return o; }; return _setPrototypeOf(o, p); }
/**
* @file Pan.js
* Contains the Pan class
*/
var DEFAULT_INPUTS = 1;
var DEFAULT_MIN_THRESHOLD = 1;
/**
* A Pan is defined as a normal movement in any direction on a screen.
* Pan gestures do not track start events and can interact with distance gestures
* @class Pan
*/
var Pan =
/*#__PURE__*/
function (_Gesture) {
_inherits(Pan, _Gesture);
/**
* Constructor function for the Pan class.
* @param {Object} [options] - The options object.
* @param {Number} [options.numInputs=1] - Number of inputs for the
* Pan gesture.
* @param {Number} [options.threshold=1] - The minimum number of
* pixels the input has to move to trigger this gesture.
*/
function Pan(options) {
var _this;
_classCallCheck(this, Pan);
_this = _possibleConstructorReturn(this, _getPrototypeOf(Pan).call(this));
/**
* The type of the Gesture.
* @type {String}
*/
_this.type = 'pan';
/**
* The number of inputs to trigger a Pan can be variable,
* and the maximum number being a factor of the browser.
* @type {Number}
*/
_this.numInputs = options && options.numInputs ? options.numInputs : DEFAULT_INPUTS;
/**
* The minimum amount in pixels the pan must move until it is fired.
* @type {Number}
*/
_this.threshold = options && options.threshold ? options.threshold : DEFAULT_MIN_THRESHOLD;
return _this;
}
/**
* Event hook for the start of a gesture. Marks each input as active,
* so it can invalidate any end events.
* @param {Array} inputs
*/
_createClass(Pan, [{
key: "start",
value: function start(inputs) {
var _this2 = this;
inputs.forEach(function (input) {
var progress = input.getGestureProgress(_this2.getId());
progress.active = true;
progress.lastEmitted = {
x: input.current.x,
y: input.current.y
};
});
}
/**
* move() - Event hook for the move of a gesture.
* Fired whenever the input length is met, and keeps a boolean flag that
* the gesture has fired at least once.
* @param {Array} inputs - The array of Inputs on the screen
* @param {Object} state - The state object of the current region.
* @param {Element} element - The element associated to the binding.
* @return {Object} - Returns the distance in pixels between the two inputs.
*/
}, {
key: "move",
value: function move(inputs, state, element) {
var _this3 = this;
if (this.numInputs !== inputs.length) return null;
var output = {
data: []
};
inputs.forEach(function (input, index) {
var progress = input.getGestureProgress(_this3.getId());
var distanceFromLastEmit = _core_util_js__WEBPACK_IMPORTED_MODULE_1__["default"].distanceBetweenTwoPoints(progress.lastEmitted.x, progress.lastEmitted.y, input.current.x, input.current.y);
var reachedThreshold = distanceFromLastEmit >= _this3.threshold;
if (progress.active && reachedThreshold) {
output.data[index] = packData(input, progress);
progress.lastEmitted.x = input.current.x;
progress.lastEmitted.y = input.current.y;
}
});
return output;
function packData(input, progress) {
var distanceFromOrigin = _core_util_js__WEBPACK_IMPORTED_MODULE_1__["default"].distanceBetweenTwoPoints(input.initial.x, input.current.x, input.initial.y, input.current.y);
var directionFromOrigin = _core_util_js__WEBPACK_IMPORTED_MODULE_1__["default"].getAngle(input.initial.x, input.initial.y, input.current.x, input.current.y);
var currentDirection = _core_util_js__WEBPACK_IMPORTED_MODULE_1__["default"].getAngle(progress.lastEmitted.x, progress.lastEmitted.y, input.current.x, input.current.y);
var change = {
x: input.current.x - progress.lastEmitted.x,
y: input.current.y - progress.lastEmitted.y
};
return {
distanceFromOrigin: distanceFromOrigin,
directionFromOrigin: directionFromOrigin,
currentDirection: currentDirection,
change: change
};
}
}
/* move*/
/**
* end() - Event hook for the end of a gesture. If the gesture has at least
* fired once, then it ends on the first end event such that any remaining
* inputs will not trigger the event until all inputs have reached the
* touchend event. Any touchend->touchstart events that occur before all
* inputs are fully off the screen should not fire.
* @param {Array} inputs - The array of Inputs on the screen
* @return {null} - null if the gesture is not to be emitted,
* Object with information otherwise.
*/
}, {
key: "end",
value: function end(inputs) {
var _this4 = this;
inputs.forEach(function (input) {
var progress = input.getGestureProgress(_this4.getId());
progress.active = false;
});
return null;
}
/* end*/
}]);
return Pan;
}(_Gesture_js__WEBPACK_IMPORTED_MODULE_0__["default"]);
/* harmony default export */ __webpack_exports__["default"] = (Pan);
/***/ }),
/***/ "./src/gestures/Rotate.js":
/*!********************************!*\
!*** ./src/gestures/Rotate.js ***!
\********************************/
/*! exports provided: default */
/***/ (function(module, __webpack_exports__, __webpack_require__) {
"use strict";
__webpack_require__.r(__webpack_exports__);
/* harmony import */ var _Gesture_js__WEBPACK_IMPORTED_MODULE_0__ = __webpack_require__(/*! ./Gesture.js */ "./src/gestures/Gesture.js");
/* harmony import */ var _core_util_js__WEBPACK_IMPORTED_MODULE_1__ = __webpack_require__(/*! ./../core/util.js */ "./src/core/util.js");
function _typeof(obj) { if (typeof Symbol === "function" && typeof Symbol.iterator === "symbol") { _typeof = function _typeof(obj) { return typeof obj; }; } else { _typeof = function _typeof(obj) { return obj && typeof Symbol === "function" && obj.constructor === Symbol && obj !== Symbol.prototype ? "symbol" : typeof obj; }; } return _typeof(obj); }
function _classCallCheck(instance, Constructor) { if (!(instance instanceof Constructor)) { throw new TypeError("Cannot call a class as a function"); } }
function _defineProperties(target, props) { for (var i = 0; i < props.length; i++) { var descriptor = props[i]; descriptor.enumerable = descriptor.enumerable || false; descriptor.configurable = true; if ("value" in descriptor) descriptor.writable = true; Object.defineProperty(target, descriptor.key, descriptor); } }
function _createClass(Constructor, protoProps, staticProps) { if (protoProps) _defineProperties(Constructor.prototype, protoProps); if (staticProps) _defineProperties(Constructor, staticProps); return Constructor; }
function _possibleConstructorReturn(self, call) { if (call && (_typeof(call) === "object" || typeof call === "function")) { return call; } return _assertThisInitialized(self); }
function _assertThisInitialized(self) { if (self === void 0) { throw new ReferenceError("this hasn't been initialised - super() hasn't been called"); } return self; }
function _getPrototypeOf(o) { _getPrototypeOf = Object.setPrototypeOf ? Object.getPrototypeOf : function _getPrototypeOf(o) { return o.__proto__ || Object.getPrototypeOf(o); }; return _getPrototypeOf(o); }
function _inherits(subClass, superClass) { if (typeof superClass !== "function" && superClass !== null) { throw new TypeError("Super expression must either be null or a function"); } subClass.prototype = Object.create(superClass && superClass.prototype, { constructor: { value: subClass, writable: true, configurable: true } }); if (superClass) _setPrototypeOf(subClass, superClass); }
function _setPrototypeOf(o, p) { _setPrototypeOf = Object.setPrototypeOf || function _setPrototypeOf(o, p) { o.__proto__ = p; return o; }; return _setPrototypeOf(o, p); }
/**
* @file Rotate.js
* Contains the Rotate class
*/
var DEFAULT_INPUTS = 2;
/**
* A Rotate is defined as two inputs moving about a circle,
* maintaining a relatively equal radius.
* @class Rotate
*/
var Rotate =
/*#__PURE__*/
function (_Gesture) {
_inherits(Rotate, _Gesture);
/**
* Constructor function for the Rotate class.
*/
function Rotate() {
var _this;
var options = arguments.length > 0 && arguments[0] !== undefined ? arguments[0] : {};
_classCallCheck(this, Rotate);
_this = _possibleConstructorReturn(this, _getPrototypeOf(Rotate).call(this));
/**
* The type of the Gesture.
* @type {String}
*/
_this.type = 'rotate';
/**
* The number of touches required to emit Rotate events.
* @type {Number}
*/
_this.numInputs = options.numInputs || DEFAULT_INPUTS;
return _this;
}
/**
* move() - Event hook for the move of a gesture. Obtains the midpoint of two
* the two inputs and calculates the projection of the right most input along
* a unit circle to obtain an angle. This angle is compared to the previously
* calculated angle to output the change of distance, and is compared to the
* initial angle to output the distance from the initial angle to the current
* angle.
* @param {Array} inputs - The array of Inputs on the screen
* @param {Object} state - The state object of the current listener.
* @param {Element} element - The element associated to the binding.
* @return {null} - null if this event did not occur
* @return {Object} obj.angle - The current angle along the unit circle
* @return {Object} obj.distanceFromOrigin - The angular distance travelled
* from the initial right most point.
* @return {Object} obj.distanceFromLast - The change of angle between the
* last position and the current position.
*/
_createClass(Rotate, [{
key: "move",
value: function move(inputs, state, element) {
var numActiveInputs = state.numActiveInputs();
if (this.numInputs !== numActiveInputs) return null;
var currentPivot, initialPivot;
var input;
if (numActiveInputs === 1) {
var bRect = element.getBoundingClientRect();
currentPivot = {
x: bRect.left + bRect.width / 2,
y: bRect.top + bRect.height / 2
};
initialPivot = currentPivot;
input = inputs[0];
} else {
currentPivot = _core_util_js__WEBPACK_IMPORTED_MODULE_1__["default"].getMidpoint(inputs[0].current.x, inputs[1].current.x, inputs[0].current.y, inputs[1].current.y);
input = _core_util_js__WEBPACK_IMPORTED_MODULE_1__["default"].getRightMostInput(inputs);
} // Translate the current pivot point.
var currentAngle = _core_util_js__WEBPACK_IMPORTED_MODULE_1__["default"].getAngle(currentPivot.x, currentPivot.y, input.current.x, input.current.y);
var progress = input.getGestureProgress(this.getId());
if (!progress.initialAngle) {
progress.initialAngle = progress.previousAngle = currentAngle;
progress.distance = progress.change = 0;
} else {
progress.change = _core_util_js__WEBPACK_IMPORTED_MODULE_1__["default"].getAngularDistance(progress.previousAngle, currentAngle);
progress.distance = progress.distance + progress.change;
}
progress.previousAngle = currentAngle;
return {
angle: currentAngle,
distanceFromOrigin: progress.distance,
distanceFromLast: progress.change
};
}
/* move*/
}]);
return Rotate;
}(_Gesture_js__WEBPACK_IMPORTED_MODULE_0__["default"]);
/* harmony default export */ __webpack_exports__["default"] = (Rotate);
/***/ }),
/***/ "./src/gestures/Swipe.js":
/*!*******************************!*\
!*** ./src/gestures/Swipe.js ***!
\*******************************/
/*! exports provided: default */
/***/ (function(module, __webpack_exports__, __webpack_require__) {
"use strict";
__webpack_require__.r(__webpack_exports__);
/* harmony import */ var _Gesture_js__WEBPACK_IMPORTED_MODULE_0__ = __webpack_require__(/*! ./Gesture.js */ "./src/gestures/Gesture.js");
/* harmony import */ var _core_util_js__WEBPACK_IMPORTED_MODULE_1__ = __webpack_require__(/*! ./../core/util.js */ "./src/core/util.js");
function _typeof(obj) { if (typeof Symbol === "function" && typeof Symbol.iterator === "symbol") { _typeof = function _typeof(obj) { return typeof obj; }; } else { _typeof = function _typeof(obj) { return obj && typeof Symbol === "function" && obj.constructor === Symbol && obj !== Symbol.prototype ? "symbol" : typeof obj; }; } return _typeof(obj); }
function _classCallCheck(instance, Constructor) { if (!(instance instanceof Constructor)) { throw new TypeError("Cannot call a class as a function"); } }
function _defineProperties(target, props) { for (var i = 0; i < props.length; i++) { var descriptor = props[i]; descriptor.enumerable = descriptor.enumerable || false; descriptor.configurable = true; if ("value" in descriptor) descriptor.writable = true; Object.defineProperty(target, descriptor.key, descriptor); } }
function _createClass(Constructor, protoProps, staticProps) { if (protoProps) _defineProperties(Constructor.prototype, protoProps); if (staticProps) _defineProperties(Constructor, staticProps); return Constructor; }
function _possibleConstructorReturn(self, call) { if (call && (_typeof(call) === "object" || typeof call === "function")) { return call; } return _assertThisInitialized(self); }
function _assertThisInitialized(self) { if (self === void 0) { throw new ReferenceError("this hasn't been initialised - super() hasn't been called"); } return self; }
function _getPrototypeOf(o) { _getPrototypeOf = Object.setPrototypeOf ? Object.getPrototypeOf : function _getPrototypeOf(o) { return o.__proto__ || Object.getPrototypeOf(o); }; return _getPrototypeOf(o); }
function _inherits(subClass, superClass) { if (typeof superClass !== "function" && superClass !== null) { throw new TypeError("Super expression must either be null or a function"); } subClass.prototype = Object.create(superClass && superClass.prototype, { constructor: { value: subClass, writable: true, configurable: true } }); if (superClass) _setPrototypeOf(subClass, superClass); }
function _setPrototypeOf(o, p) { _setPrototypeOf = Object.setPrototypeOf || function _setPrototypeOf(o, p) { o.__proto__ = p; return o; }; return _setPrototypeOf(o, p); }
/**
* @file Swipe.js
* Contains the Swipe class
*/
var DEFAULT_INPUTS = 1;
var DEFAULT_MAX_REST_TIME = 100;
var DEFAULT_ESCAPE_VELOCITY = 0.2;
var DEFAULT_TIME_DISTORTION = 100;
var DEFAULT_MAX_PROGRESS_STACK = 10;
/**
* A swipe is defined as input(s) moving in the same direction in an relatively
* increasing velocity and leaving the screen at some point before it drops
* below it's escape velocity.
* @class Swipe
*/
var Swipe =
/*#__PURE__*/
function (_Gesture) {
_inherits(Swipe, _Gesture);
/**
* Constructor function for the Swipe class.
* @param {Object} [options] - The options object.
* @param {Number} [options.numInputs] - The number of inputs to trigger a
* Swipe can be variable, and the maximum number being a factor of the browser
* move and current move events.
* @param {Number} [options.maxRestTime] - The maximum resting time a point
* has between it's last
* @param {Number} [options.escapeVelocity] - The minimum velocity the input
* has to be at to emit a swipe.
* @param {Number} [options.timeDistortion] - (EXPERIMENTAL) A value of time
* in milliseconds to distort between events.
* @param {Number} [options.maxProgressStack] - (EXPERIMENTAL)The maximum
* amount of move events to keep
* track of for a swipe.
*/
function Swipe(options) {
var _this;
_classCallCheck(this, Swipe);
_this = _possibleConstructorReturn(this, _getPrototypeOf(Swipe).call(this));
/**
* The type of the Gesture
* @type {String}
*/
_this.type = 'swipe';
/**
* The number of inputs to trigger a Swipe can be variable,
* and the maximum number being a factor of the browser.
* @type {Number}
*/
_this.numInputs = options && options.numInputs ? options.numInputs : DEFAULT_INPUTS;
/**
* The maximum resting time a point has between it's last move and
* current move events.
* @type {Number}
*/
_this.maxRestTime = options && options.maxRestTime ? options.maxRestTime : DEFAULT_MAX_REST_TIME;
/**
* The minimum velocity the input has to be at to emit a swipe.
* This is useful for determining the difference between
* a swipe and a pan gesture.
* @type {number}
*/
_this.escapeVelocity = options && options.escapeVelocity ? options.escapeVelocity : DEFAULT_ESCAPE_VELOCITY;
/**
* (EXPERIMENTAL) A value of time in milliseconds to distort between events.
* Browsers do not accurately measure time with the Date constructor in
* milliseconds, so consecutive events sometimes display the same timestamp
* but different x/y coordinates. This will distort a previous time
* in such cases by the timeDistortion's value.
* @type {number}
*/
_this.timeDistortion = options && options.timeDistortion ? options.timeDistortion : DEFAULT_TIME_DISTORTION;
/**
* (EXPERIMENTAL) The maximum amount of move events to keep track of for a
* swipe. This helps give a more accurate estimate of the user's velocity.
* @type {number}
*/
_this.maxProgressStack = options && options.maxProgressStack ? options.maxProgressStack : DEFAULT_MAX_PROGRESS_STACK;
return _this;
}
/**
* Event hook for the move of a gesture. Captures an input's x/y coordinates
* and the time of it's event on a stack.
* @param {Array} inputs - The array of Inputs on the screen.
* @param {Object} state - The state object of the current region.
* @param {Element} element - The element associated to the binding.
* @return {null} - Swipe does not emit from a move.
*/
_createClass(Swipe, [{
key: "move",
value: function move(inputs, state, element) {
if (this.numInputs === inputs.length) {
for (var i = 0; i < inputs.length; i++) {
var progress = inputs[i].getGestureProgress(this.getId());
if (!progress.moves) {
progress.moves = [];
}
progress.moves.push({
time: new Date().getTime(),
x: inputs[i].current.x,
y: inputs[i].current.y
});
if (progress.length > this.maxProgressStack) {
progress.moves.shift();
}
}
}
return null;
}
/* move*/
/**
* Determines if the input's history validates a swipe motion.
* Determines if it did not come to a complete stop (maxRestTime), and if it
* had enough of a velocity to be considered (ESCAPE_VELOCITY).
* @param {Array} inputs - The array of Inputs on the screen
* @return {null|Object} - null if the gesture is not to be emitted,
* Object with information otherwise.
*/
}, {
key: "end",
value: function end(inputs) {
if (this.numInputs === inputs.length) {
var output = {
data: []
};
for (var i = 0; i < inputs.length; i++) {
// Determine if all input events are on the 'end' event.
if (inputs[i].current.type !== 'end') {
return;
}
var progress = inputs[i].getGestureProgress(this.getId());
if (progress.moves && progress.moves.length > 2) {
// CHECK : Return if the input has not moved in maxRestTime ms.
var currentMove = progress.moves.pop();
if (new Date().getTime() - currentMove.time > this.maxRestTime) {
return null;
}
var lastMove = void 0;
var index = progress.moves.length - 1;
/* Date is unreliable, so we retrieve the last move event where
the time is not the same. */
while (index !== -1) {
if (progress.moves[index].time !== currentMove.time) {
lastMove = progress.moves[index];
break;
}
index--;
}
/* If the date is REALLY unreliable, we apply a time distortion
to the last event.
*/
if (!lastMove) {
lastMove = progress.moves.pop();
lastMove.time += this.timeDistortion;
}
var velocity = _core_util_js__WEBPACK_IMPORTED_MODULE_1__["default"].getVelocity(lastMove.x, lastMove.y, lastMove.time, currentMove.x, currentMove.y, currentMove.time);
output.data[i] = {
velocity: velocity,
distance: _core_util_js__WEBPACK_IMPORTED_MODULE_1__["default"].distanceBetweenTwoPoints(lastMove.x, currentMove.x, lastMove.y, currentMove.y),
duration: currentMove.time - lastMove.time,
currentDirection: _core_util_js__WEBPACK_IMPORTED_MODULE_1__["default"].getAngle(lastMove.x, lastMove.y, currentMove.x, currentMove.y)
};
}
}
for (var i = 0; i < output.data.length; i++) {
if (velocity < this.escapeVelocity) {
return null;
}
}
if (output.data.length > 0) {
return output;
}
}
return null;
}
/* end*/
}]);
return Swipe;
}(_Gesture_js__WEBPACK_IMPORTED_MODULE_0__["default"]);
/* harmony default export */ __webpack_exports__["default"] = (Swipe);
/***/ }),
/***/ "./src/gestures/Tap.js":
/*!*****************************!*\
!*** ./src/gestures/Tap.js ***!
\*****************************/
/*! exports provided: default */
/***/ (function(module, __webpack_exports__, __webpack_require__) {
"use strict";
__webpack_require__.r(__webpack_exports__);
/* harmony import */ var _Gesture_js__WEBPACK_IMPORTED_MODULE_0__ = __webpack_require__(/*! ./Gesture.js */ "./src/gestures/Gesture.js");
/* harmony import */ var _core_util_js__WEBPACK_IMPORTED_MODULE_1__ = __webpack_require__(/*! ./../core/util.js */ "./src/core/util.js");
function _typeof(obj) { if (typeof Symbol === "function" && typeof Symbol.iterator === "symbol") { _typeof = function _typeof(obj) { return typeof obj; }; } else { _typeof = function _typeof(obj) { return obj && typeof Symbol === "function" && obj.constructor === Symbol && obj !== Symbol.prototype ? "symbol" : typeof obj; }; } return _typeof(obj); }
function _classCallCheck(instance, Constructor) { if (!(instance instanceof Constructor)) { throw new TypeError("Cannot call a class as a function"); } }
function _defineProperties(target, props) { for (var i = 0; i < props.length; i++) { var descriptor = props[i]; descriptor.enumerable = descriptor.enumerable || false; descriptor.configurable = true; if ("value" in descriptor) descriptor.writable = true; Object.defineProperty(target, descriptor.key, descriptor); } }
function _createClass(Constructor, protoProps, staticProps) { if (protoProps) _defineProperties(Constructor.prototype, protoProps); if (staticProps) _defineProperties(Constructor, staticProps); return Constructor; }
function _possibleConstructorReturn(self, call) { if (call && (_typeof(call) === "object" || typeof call === "function")) { return call; } return _assertThisInitialized(self); }
function _assertThisInitialized(self) { if (self === void 0) { throw new ReferenceError("this hasn't been initialised - super() hasn't been called"); } return self; }
function _getPrototypeOf(o) { _getPrototypeOf = Object.setPrototypeOf ? Object.getPrototypeOf : function _getPrototypeOf(o) { return o.__proto__ || Object.getPrototypeOf(o); }; return _getPrototypeOf(o); }
function _inherits(subClass, superClass) { if (typeof superClass !== "function" && superClass !== null) { throw new TypeError("Super expression must either be null or a function"); } subClass.prototype = Object.create(superClass && superClass.prototype, { constructor: { value: subClass, writable: true, configurable: true } }); if (superClass) _setPrototypeOf(subClass, superClass); }
function _setPrototypeOf(o, p) { _setPrototypeOf = Object.setPrototypeOf || function _setPrototypeOf(o, p) { o.__proto__ = p; return o; }; return _setPrototypeOf(o, p); }
/**
* @file Tap.js
* Contains the Tap class
*/
var DEFAULT_MIN_DELAY_MS = 0;
var DEFAULT_MAX_DELAY_MS = 300;
var DEFAULT_INPUTS = 1;
var DEFAULT_MOVE_PX_TOLERANCE = 10;
/**
* A Tap is defined as a touchstart to touchend event in quick succession.
* @class Tap
*/
var Tap =
/*#__PURE__*/
function (_Gesture) {
_inherits(Tap, _Gesture);
/**
* Constructor function for the Tap class.
* @param {Object} [options] - The options object.
* @param {Number} [options.minDelay=0] - The minimum delay between a
* touchstart and touchend can be configured in milliseconds.
* @param {Number} [options.maxDelay=300] - The maximum delay between a
* touchstart and touchend can be configured in milliseconds.
* @param {Number} [options.numInputs=1] - Number of inputs for Tap gesture.
* @param {Number} [options.tolerance=10] - The tolerance in pixels
* a user can move.
*/
function Tap(options) {
var _this;
_classCallCheck(this, Tap);
_this = _possibleConstructorReturn(this, _getPrototypeOf(Tap).call(this));
/**
* The type of the Gesture.
* @type {String}
*/
_this.type = 'tap';
/**
* The minimum amount between a touchstart and a touchend can be configured
* in milliseconds. The minimum delay starts to count down when the expected
* number of inputs are on the screen, and ends when ALL inputs are off the
* screen.
* @type {Number}
*/
_this.minDelay = options && options.minDelay ? options.minDelay : DEFAULT_MIN_DELAY_MS;
/**
* The maximum delay between a touchstart and touchend can be configured in
* milliseconds. The maximum delay starts to count down when the expected
* number of inputs are on the screen, and ends when ALL inputs are off the
* screen.
* @type {Number}
*/
_this.maxDelay = options && options.maxDelay ? options.maxDelay : DEFAULT_MAX_DELAY_MS;
/**
* The number of inputs to trigger a Tap can be variable,
* and the maximum number being a factor of the browser.
* @type {Number}
*/
_this.numInputs = options && options.numInputs ? options.numInputs : DEFAULT_INPUTS;
/**
* A move tolerance in pixels allows some slop between a user's start to end
* events. This allows the Tap gesture to be triggered more easily.
* @type {number}
*/
_this.tolerance = options && options.tolerance ? options.tolerance : DEFAULT_MOVE_PX_TOLERANCE;
return _this;
}
/* constructor*/
/**
* Event hook for the start of a gesture. Keeps track of when the inputs
* trigger the start event.
* @param {Array} inputs - The array of Inputs on the screen.
* @return {null} - Tap does not trigger on a start event.
*/
_createClass(Tap, [{
key: "start",
value: function start(inputs) {
var _this2 = this;
if (inputs.length === this.numInputs) {
inputs.forEach(function (input) {
var progress = input.getGestureProgress(_this2.type);
progress.start = new Date().getTime();
});
}
return null;
}
/* start*/
/**
* Event hook for the move of a gesture. The Tap event reaches here if the
* user starts to move their input before an 'end' event is reached.
* @param {Array} inputs - The array of Inputs on the screen.
* @param {Object} state - The state object of the current region.
* @param {Element} element - The element associated to the binding.
* @return {null} - Tap does not trigger on a move event.
*/
}, {
key: "move",
value: function move(inputs, state, element) {
var _this3 = this;
for (var i = 0; i < inputs.length; i++) {
if (inputs[i].getCurrentEventType() === 'move') {
var current = inputs[i].current;
var previous = inputs[i].previous;
if (!_core_util_js__WEBPACK_IMPORTED_MODULE_1__["default"].isWithin(current.x, current.y, previous.x, previous.y, this.tolerance)) {
var _ret = function () {
var type = _this3.type;
inputs.forEach(function (input) {
input.resetProgress(type);
});
return {
v: null
};
}();
if (_typeof(_ret) === "object") return _ret.v;
}
}
}
return null;
}
/* move*/
/**
* Event hook for the end of a gesture.
* Determines if this the tap event can be fired if the delay and tolerance
* constraints are met. Also waits for all of the inputs to be off the screen
* before determining if the gesture is triggered.
* @param {Array} inputs - The array of Inputs on the screen.
* @return {null|Object} - null if the gesture is not to be emitted,
* Object with information otherwise. Returns the interval time between start
* and end events.
*/
}, {
key: "end",
value: function end(inputs) {
if (inputs.length !== this.numInputs) {
return null;
}
var startTime = Number.MAX_VALUE;
for (var i = 0; i < inputs.length; i++) {
if (inputs[i].getCurrentEventType() !== 'end') {
return null;
}
var progress = inputs[i].getGestureProgress(this.type);
if (!progress.start) {
return null;
} // Find the most recent input's startTime
if (progress.start < startTime) {
startTime = progress.start;
}
}
var interval = new Date().getTime() - startTime;
if (this.minDelay <= interval && this.maxDelay >= interval) {
return {
interval: interval
};
} else {
var type = this.type;
inputs.forEach(function (input) {
input.resetProgress(type);
});
return null;
}
}
/* end*/
}]);
return Tap;
}(_Gesture_js__WEBPACK_IMPORTED_MODULE_0__["default"]);
/* harmony default export */ __webpack_exports__["default"] = (Tap);
/***/ })
/******/ });
//# sourceMappingURL=zingtouch.js.map
```
|
/content/code_sandbox/dist/zingtouch.js
|
javascript
| 2016-03-15T20:49:25
| 2024-08-16T15:00:47
|
zingtouch
|
zingchart/zingtouch
| 2,112
| 22,271
|
```jupyter notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# \n",
"\n",
"## \n",
"\n",
"JPEG\n",
"\n",
"$512$$x_i$$i$$x_i$$[0,255]$8 bits$x$$x\\in\\mathbb{R}^n, n=512^2$\n",
"\n",
"JPEGJoint Photographic Expert Group\n",
"\n",
" $\\begin{bmatrix}1\\\\0\\\\\\vdots\\\\0\\end{bmatrix}\\begin{bmatrix}0\\\\1\\\\\\vdots\\\\0\\end{bmatrix}\\cdots\\begin{bmatrix}0\\\\0\\\\\\vdots\\\\1\\end{bmatrix}$\n",
"\n",
"\n",
"\n",
"* $\\begin{bmatrix}1&1&\\cdots&1\\end{bmatrix}^T$$1$\n",
"* $\\begin{bmatrix}1&-1&\\cdots&1&-1\\end{bmatrix}^T$\n",
"* $\\begin{bmatrix}1&1&\\cdots&-1&-1\\end{bmatrix}^T$\n",
"\n",
"### \n",
"\n",
"$8\\times 8$$8\\times 8$\n",
"\n",
"$F_n=\\begin{bmatrix}1&1&1&\\cdots&1\\\\1&w&w^2&\\cdots&w^{n-1}\\\\1&w^2&w^4&\\cdots&w^{2(n-1)}\\\\\\vdots&\\vdots&\\vdots&\\ddots&\\vdots\\\\1&w^{n-1}&w^{2(n-1)}&\\cdots&w^{(n-1)^2}\\end{bmatrix},\\ w=e^{i2\\pi/n},\\ n=8$$8$\n",
"\n",
"$8\\times 8$$64$$64$$64$$64$\n",
"\n",
"* $x$$64$$\\xrightarrow{}$$c$$x$$64$\n",
"\n",
" $\\mathbb{R}^64$\n",
" \n",
" \n",
" \n",
" \n",
"* thresholding$c$$\\hat c$$\\hat c$$0$\n",
" \n",
" $\\begin{bmatrix}1&1&\\cdots&1\\end{bmatrix}^T$$\\begin{bmatrix}1&-1&\\cdots&1&-1\\end{bmatrix}^T$$0$\n",
" \n",
" \n",
" \n",
" \n",
"* $\\hat c$$\\hat x=\\sum \\hat{c}_iv_i$$64$$\\hat c$$21:1$\n",
"\n",
"\n",
"\n",
"### \n",
"\n",
"wavelets$8\\times 8$\n",
"$\\begin{bmatrix}1\\\\1\\\\1\\\\1\\\\1\\\\1\\\\1\\\\1\\end{bmatrix}\n",
"\\begin{bmatrix}1\\\\1\\\\1\\\\1\\\\-1\\\\-1\\\\-1\\\\-1\\end{bmatrix}\n",
"\\begin{bmatrix}1\\\\1\\\\-1\\\\-1\\\\0\\\\0\\\\0\\\\0\\end{bmatrix}\n",
"\\begin{bmatrix}0\\\\0\\\\0\\\\0\\\\1\\\\1\\\\-1\\\\-1\\end{bmatrix}\n",
"\\begin{bmatrix}1\\\\-1\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\end{bmatrix}\n",
"\\begin{bmatrix}0\\\\0\\\\1\\\\-1\\\\0\\\\0\\\\0\\\\0\\end{bmatrix}\n",
"\\begin{bmatrix}0\\\\0\\\\0\\\\0\\\\1\\\\-1\\\\0\\\\0\\end{bmatrix}\n",
"\\begin{bmatrix}0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\1\\\\-1\\end{bmatrix}$\n",
"\n",
"\n",
"\n",
"$P\\in\\mathbb{R}^8$$P=\\begin{bmatrix}p_1\\\\p_2\\\\\\vdots\\\\p_8\\end{bmatrix}=c_1w_1+c_2w_2+\\cdots+c_nw_n=\\Bigg[w_1\\ w_2\\ \\cdots\\ w_n\\Bigg]\\begin{bmatrix}c_1\\\\c_2\\\\\\vdots\\\\c_n\\end{bmatrix}$$P=WC$$C=W^{-1}P$\n",
"\n",
"\n",
"\n",
"* \n",
" \n",
" $P=WC$FFTFWT\n",
" \n",
" $W^{-1}=W^T$\n",
" \n",
" \n",
"* \n",
" \n",
" $c_5,c_6,c_7,c_8$\n",
" \n",
" JPEG2000FBIJPEG2000$1$$-1$\n",
"\n",
"[](path_to_url",
"\n",
"## \n",
"\n",
"\n",
"\n",
"$W$$\\Bigg[x\\Bigg]\\xrightarrow{x=Wc}\\Bigg[c\\Bigg]$\n",
"\n",
"$T:\\mathbb{R}^8\\to\\mathbb{R}^8$$v_1,v_2,\\cdots,v_8$$A$$w_1,w_2,\\cdots,w_n$$B$$A,B$$B=M^{-1}AM$$M$\n",
"\n",
"\n",
"1. $x=Wc$\n",
"2. $B=M^{-1}AM$\n",
"\n",
" $A$\n",
" \n",
" $v_1,v_2,\\cdots,v_8$$T$$T$$x=c_1v_1+c_2v_2+\\cdots+c_8v_8$$T(x)=c_1T(v_1)+c_2T(v_2)+\\cdots+c_8T(v_8)$\n",
" \n",
" $T(v_1)=a_{11}v_1+a_{21}v_2+\\cdots+a_{81}v_8,\\ T(v_2)=a_{12}v_1+a_{22}v_2+\\cdots+a_{82}v_8,\\ \\cdots$$\\begin{bmatrix}A\\end{bmatrix}=\\left[\\begin{array}{c|c|c|c}a_{11}&a_{12}&\\cdots&a_{1n}\\\\a_{21}&a_{22}&\\cdots&a_{2n}\\\\\\vdots&\\vdots&\\ddots&\\vdots\\\\a_{m1}&a_{m2}&\\cdots&a_{mn}\\\\\\end{array}\\right]$\n",
" \n",
" \n",
"\n",
"$v_1,v_2,\\cdots,v_n$$T(v_i)=\\lambda_1v_i$$A$\n",
"\n",
"$v_1$$T$$\\lambda_1v_1$$v_2\\xrightarrow{T}\\lambda_2v_2$$v_n=v_n\\xrightarrow{T}\\lambda_nv_n$$\\lambda_iv_i$$0$$A=\\begin{bmatrix}\\lambda_1&&&\\\\&\\lambda_2&&\\\\&&\\ddots&\\\\&&&\\lambda_n\\end{bmatrix}$\n",
"\n",
""
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
```
|
/content/code_sandbox/chapter32.ipynb
|
jupyter notebook
| 2016-05-09T14:20:50
| 2024-08-16T14:40:36
|
notes-linear-algebra
|
zlotus/notes-linear-algebra
| 3,514
| 1,982
|
```jupyter notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# \n",
"\n",
"## \n",
"\n",
"$A$$A$$x$$A$$x$$Ax$$A$$x$$Ax$\n",
"\n",
"($x$)($Ax$)$Ax$$x$$Ax$$x$$x$Eigen vector\n",
"\n",
"$$Ax=\\lambda x\\tag{1}$$\n",
"\n",
"* $0$$Ax=0$$0$$A$\n",
" \n",
" $\\lambda = 0$\n",
"\n",
"* $P=A(A^TA)^{-1}A^T$$b$$P$$Pb$$b$$A$$Pb$$b$$b$$Pb=1\\cdot b$\n",
" \n",
" $1$\n",
" \n",
" $e$$e\\bot C(A)$$Pe=0e$$e$$0$\n",
" \n",
" $\\lambda=1, 0$\n",
"\n",
"* $A=\\begin{bmatrix}0&1\\\\1&0\\end{bmatrix}$\n",
" \n",
" $1$$\\begin{bmatrix}1\\\\1\\end{bmatrix}$\n",
" \n",
" $-1$$\\begin{bmatrix}1\\\\-1\\end{bmatrix}$\n",
"\n",
"$n\\times n$$n$trace$$\\sum_{i=1}^n \\lambda_i=\\sum_{i=1}^n a_{ii}$$\n",
"\n",
"$1$$-1$\n",
"\n",
"## $Ax=\\lambda x$\n",
"\n",
"$Ax=\\lambda x$$(A-\\lambda I)x=0$\n",
"\n",
"$(A-\\lambda I)x=0$$A$$\\lambda$$(A-\\lambda I)$$$\\det{(A-\\lambda{I})}=0\\tag{2}$$\n",
"\n",
"$x$characteristic equation$(A-\\lambda I)x=0$$(A-\\lambda I)$\n",
"\n",
"* $A=\\begin{bmatrix}3&1\\\\1&3\\end{bmatrix}$$1, -1$\n",
"\n",
" $\\det{(A-\\lambda{I})}=\\begin{vmatrix}3-\\lambda&1\\\\1&3-\\lambda\\end{vmatrix}$$(3-\\lambda)^2-1=\\lambda^2-6\\lambda+8=0, \\lambda_1=4,\\lambda_2=2$$-6$\n",
"\n",
" $A-4I=\\begin{bmatrix}-1&1\\\\1&-1\\end{bmatrix}$$x_1=\\begin{bmatrix}1\\\\1\\end{bmatrix}$$A-2I=\\begin{bmatrix}1&1\\\\1&1\\end{bmatrix}$$x_2=\\begin{bmatrix}1\\\\-1\\end{bmatrix}$\n",
"\n",
" $A'=\\begin{bmatrix}0&1\\\\1&0\\end{bmatrix}$$\\lambda_1=1, x_1=\\begin{bmatrix}1\\\\1\\end{bmatrix}, \\lambda_2=-1, x_2=\\begin{bmatrix}-1\\\\1\\end{bmatrix}$$A'$$A$\n",
"\n",
" $A=A'+3I$$3$$3I$$3$$Ax=\\lambda x$$(A+3I)x=\\lambda x+3x=(\\lambda+3)x$$x$$x$$\\lambda$$\\lambda+3$\n",
"\n",
"$Ax=\\lambda x, Bx=\\alpha x$$(A+B)x=(\\lambda+\\alpha)x$$B=3I$$B$****$x$$Ax=\\lambda x, By=\\alpha y$\n",
"\n",
"* $90^\\circ$$Q=\\begin{bmatrix}\\cos 90&-\\sin 90\\\\\\sin 90&\\cos 90\\end{bmatrix}=\\begin{bmatrix}0&-1\\\\1&0\\end{bmatrix}$$90^\\circ$$Q$\n",
"\n",
" $$\\prod_{i=1}^n\\lambda_i=\\det A$$\n",
" \n",
" $Q$$\\begin{cases}\\lambda_1+\\lambda_2&=0\\\\\\lambda_1\\cdot\\lambda_2&=1\\end{cases}$$90^\\circ$\n",
" \n",
" $\\det(Q-\\lambda I)=\\begin{vmatrix}\\lambda&-1\\\\1&\\lambda\\end{vmatrix}=\\lambda^2+1=0$$\\lambda_1=i, \\lambda_2=-i$$Q^T=-Q$\n",
" \n",
" $90^\\circ$\n",
" \n",
"* $A=\\begin{bmatrix}3&1\\\\0&3\\end{bmatrix}$$\\det(A-\\lambda I)=\\begin{vmatrix}3-\\lambda&1\\\\0&3-\\lambda\\end{vmatrix}=(3-\\lambda)^2=0$$\\lambda_1=3, \\lambda_2=3$\n",
"\n",
" $\\lambda_1=3$$(A-\\lambda I)x=\\begin{bmatrix}0&1\\\\0&0\\end{bmatrix}\\begin{bmatrix}x_1\\\\x_2\\end{bmatrix}=\\begin{bmatrix}0\\\\0\\end{bmatrix}$$x_1=\\begin{bmatrix}1\\\\0\\end{bmatrix}$$\\lambda_1=3$$x_1$\n",
" \n",
" $A$degenerate matrix\n",
" \n",
""
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
```
|
/content/code_sandbox/chapter21.ipynb
|
jupyter notebook
| 2016-05-09T14:20:50
| 2024-08-16T14:40:36
|
notes-linear-algebra
|
zlotus/notes-linear-algebra
| 3,514
| 1,586
|
```jupyter notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# \n",
"\n",
"\n",
"\n",
"* $A=S\\Lambda S^{-1}$$A^{-1}=S\\Lambda^{-1}S^{-1}$\n",
"\n",
"* $A,\\ B$$A+B$$x^T(A+B)x$$x^TAx>0,\\ x^TBx>0$$x^T(A+B)x>0$\n",
"\n",
"* $m\\times n$$A$$A^TA$$A^TA$$A^TA$$x^TA^TAx$$(Ax)^T(Ax)$$Ax$$|Ax|^2\\geq0$$Ax$$A$$rank(A)=n$$|Ax|^2>0$$A^TA$\n",
"\n",
"* \n",
"\n",
"\n",
"\n",
"## \n",
"\n",
"$A,\\ B$$M$$B=M^{-1}AM$$A,\\ B$\n",
"\n",
"$S^{-1}AS=\\Lambda$$A$$\\Lambda$\n",
"\n",
"* $A=\\begin{bmatrix}2&1\\\\1&2\\end{bmatrix}$$\\Lambda=\\begin{bmatrix}3&0\\\\0&1\\end{bmatrix}$$M=\\begin{bmatrix}1&4\\\\0&1\\end{bmatrix}$$B=M^{-1}AM=\\begin{bmatrix}1&-4\\\\0&1\\end{bmatrix}\\begin{bmatrix}2&1\\\\1&2\\end{bmatrix}\\begin{bmatrix}1&4\\\\0&1\\end{bmatrix}=\\begin{bmatrix}-2&-15\\\\1&6\\end{bmatrix}$\n",
"\n",
" $\\lambda_{\\Lambda}=3,\\ 1$$\\lambda_A=3,\\ 1$$\\lambda_B=3,\\ 1$\n",
"\n",
"\n",
"\n",
"* $3,\\ 1$$\\begin{bmatrix}3&7\\\\0&1\\end{bmatrix}$$\\begin{bmatrix}1&7\\\\0&3\\end{bmatrix}$$\\Lambda$\n",
"\n",
"$Ax=\\lambda x,\\ B=M^{-1}AM$$AMM^{-1}x=\\lambda x$$M^{-1}$$M^{-1}AMM^{-1}x=\\lambda M^{-1}x$$\\left(M^{-1}AM\\right)M^{-1}x=\\lambda M^{-1}x$$BM^{-1}x=\\lambda M^{-1}x$\n",
"\n",
"$BM^{-1}=\\lambda M^{-1}x$$B$$M^{-1}x$$\\lambda$$M^{-1}x$$B$$\\lambda$$M^{-1}x$\n",
"\n",
"$3,\\ 1$\n",
"\n",
"* $\\lambda_1=\\lambda_2=4$$\\begin{bmatrix}4&0\\\\0&4\\end{bmatrix}$$\\begin{bmatrix}4&1\\\\0&4\\end{bmatrix}$$\\begin{bmatrix}4&0\\\\0&4\\end{bmatrix}$$M^{-1}\\begin{bmatrix}4&0\\\\0&4\\end{bmatrix}M=4M^{-1}IM=4I=\\begin{bmatrix}4&0\\\\0&4\\end{bmatrix}$$M$$\\begin{bmatrix}4&1\\\\0&4\\end{bmatrix}$$\\begin{bmatrix}4&1\\\\0&4\\end{bmatrix}$\n",
"\n",
"\n",
"\n",
"* $\\begin{bmatrix}4&1\\\\0&4\\end{bmatrix},\\ \\begin{bmatrix}5&1\\\\-1&3\\end{bmatrix},\\ \\begin{bmatrix}4&0\\\\17&4\\end{bmatrix}$$trace(A)=8,\\ \\det A=16$\n",
"\n",
"## \n",
"\n",
"\n",
"\n",
"* $\\begin{bmatrix}0&1&0&0\\\\0&0&1&0\\\\0&0&0&0\\\\0&0&0&0\\end{bmatrix}$$2$$4-2=2$$1$$1$\n",
"\n",
"* $\\begin{bmatrix}0&1&0&0\\\\0&0&0&0\\\\0&0&0&1\\\\0&0&0&0\\end{bmatrix}$\n",
"\n",
" $3\\times 3$$1\\times 1$ $\\left[\\begin{array}{ccc|c}0&1&0&0\\\\0&0&0&0\\\\0&0&0&1\\\\\\hline0&0&0&0\\end{array}\\right]$$2\\times 2$$\\left[\\begin{array}{cc|cc}0&1&0&0\\\\0&0&0&0\\\\\\hline0&0&0&1\\\\0&0&0&0\\end{array}\\right]$\n",
" \n",
"$J_i=\\begin{bmatrix}\\lambda_i&1&&\\cdots&\\\\&\\lambda_i&1&\\cdots&\\\\&&\\lambda_i&\\cdots&\\\\\\vdots&\\vdots&\\vdots&\\ddots&\\\\&&&&\\lambda_i\\end{bmatrix}$\n",
"\n",
"$A$$J=\\left[\\begin{array}{c|c|c|c}J_1&&&\\\\\\hline&J_2&&\\\\\\hline&&\\ddots&\\\\\\hline&&&J_d\\end{array}\\right]$$1$\n",
"\n",
"$n$$n$$\\Lambda$$n$$n$"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
```
|
/content/code_sandbox/chapter29.ipynb
|
jupyter notebook
| 2016-05-09T14:20:50
| 2024-08-16T14:40:36
|
notes-linear-algebra
|
zlotus/notes-linear-algebra
| 3,514
| 1,552
|
```jupyter notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# \n",
"\n",
"## \n",
"\n",
"****\n",
"\n",
" `jupyter notebook (ipython notebook)` \n",
"\n",
"`Github` `.ipynb` [Nbviewer](path_to_url \n",
"\n",
"----\n",
"\n",
"## \n",
"\n",
"MIT[](path_to_url\n",
"\n",
"- 01 [](chapter01.ipynb)\n",
"- 02 [](chapter02.ipynb)\n",
"- 03 [](chapter03.ipynb)\n",
"- 04 [ALU](chapter04.ipynb)\n",
"- 05 [--R](chapter05.ipynb)\n",
"- 06 [](chapter06.ipynb)\n",
"- 07 [Ax=0](chapter07.ipynb)\n",
"- 08 [Ax=b](chapter08.ipynb)\n",
"- 09 [](chapter09.ipynb)\n",
"- 10 [](chapter10.ipynb)\n",
"- 11 [1](chapter11.ipynb)\n",
"- 12 [](chapter12.ipynb)\n",
"- 13 [](chapter13.ipynb)\n",
"- 14 [](chapter14.ipynb)\n",
"- 15 [](chapter15.ipynb)\n",
"- 16 [](chapter16.ipynb)\n",
"- 17 [Gram-Schmidt](chapter17.ipynb)\n",
"- 18 [](chapter18.ipynb)\n",
"- 19 [](chapter19.ipynb)\n",
"- 20 [](chapter20.ipynb)\n",
"- 21 [](chapter21.ipynb)\n",
"- 22 [A](chapter22.ipynb)\n",
"- 23 [exp(At)](chapter23.ipynb)\n",
"- 24 [](chapter24.ipynb)\n",
"- 25 [](chapter25.ipynb)\n",
"- 26 [](chapter26.ipynb)\n",
"- 27 [](chapter27.ipynb)\n",
"- 28 [](chapter28.ipynb)\n",
"- 29 [](chapter29.ipynb)\n",
"- 30 [](chapter30.ipynb)\n",
"- 31 [](chapter31.ipynb)\n",
"- 32 [](chapter32.ipynb)\n",
"- 33 [3](chapter33.ipynb)\n",
"- 34 [](chapter34.ipynb)\n",
"- 35 [](chapter35.ipynb)\n",
"\n",
"[Jin Li](path_to_url[](path_to_url"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
```
|
/content/code_sandbox/ReadMe.ipynb
|
jupyter notebook
| 2016-05-09T14:20:50
| 2024-08-16T14:40:36
|
notes-linear-algebra
|
zlotus/notes-linear-algebra
| 3,514
| 783
|
```jupyter notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# $e^{At}$\n",
"\n",
"## $\\frac{\\mathrm{d}u}{\\mathrm{d}t}=Au$\n",
"\n",
"first-order systemfirst derivativeconstant coefficient\n",
"\n",
"$\\begin{cases}\\frac{\\mathrm{d}u_1}{\\mathrm{d}t}&=-u_1+2u_2\\\\\\frac{\\mathrm{d}u_2}{\\mathrm{d}t}&=u_1-2u_2\\end{cases}$$A=\\begin{bmatrix}-1&2\\\\1&-2\\end{bmatrix}$$0$$u(0)=\\begin{bmatrix}u_1\\\\u_2\\end{bmatrix}=\\begin{bmatrix}1\\\\0\\end{bmatrix}$\n",
"\n",
"* $u_1$$\\frac{\\mathrm{d}u_2}{\\mathrm{d}t}>0$$u_1$$u_1$$u_2$\n",
"\n",
"* $A=\\begin{bmatrix}-1&2\\\\1&-2\\end{bmatrix}$$\\lambda_1=0$$tr(A)=-3$$\\left|A-\\lambda I\\right|=\\begin{vmatrix}-1-\\lambda&2\\\\1&-2-\\lambda\\end{vmatrix}=\\lambda^2+3\\lambda=0$\n",
"\n",
" $\\lambda_2=-3$$e^{-3t}$$0$$e^{0t}$$1$$0$\n",
"\n",
"* $\\lambda_1=0$$A$$x_1=\\begin{bmatrix}2\\\\1\\end{bmatrix}$$\\lambda_2=-3$$A+3I$$\\begin{bmatrix}2&2\\\\1&1\\end{bmatrix}$$x_2=\\begin{bmatrix}1\\\\-1\\end{bmatrix}$\n",
"\n",
"* $u(t)=c_1e^{\\lambda_1t}x_1+c_2e^{\\lambda_2t}x_2$$u=e^{\\lambda_1t}x_1$$\\frac{\\mathrm{d}u}{\\mathrm{d}t}=Au$$\\lambda_1e^{\\lambda_1t}x_1=Ae^{\\lambda_1t}x_1$$\\lambda_1x_1=Ax_1$\n",
"\n",
" $u_{k+1}=Au_k$$u_k=c_1\\lambda^kx_1+c_2\\lambda^kx_2$$\\frac{\\mathrm{d}u}{\\mathrm{d}t}=Au$$u(t)=c_1e^{\\lambda_1t}x_1+c_2e^{\\lambda_2t}x_2$\n",
" \n",
"* $c_1,c_2$$u(t)=c_1\\cdot 1\\cdot\\begin{bmatrix}2\\\\1\\end{bmatrix}+c_2\\cdot e^{-3t}\\cdot\\begin{bmatrix}1\\\\-1\\end{bmatrix}$$t=0$$\\begin{bmatrix}1\\\\0\\end{bmatrix}=c_1\\begin{bmatrix}2\\\\1\\end{bmatrix}+c_2\\begin{bmatrix}1\\\\-1\\end{bmatrix}$$Sc=u(0)$$c_1=\\frac{1}{3}, c_2=\\frac{1}{3}$\n",
"\n",
"* $u(t)=\\frac{1}{3}\\begin{bmatrix}2\\\\1\\end{bmatrix}+\\frac{1}{3}e^{-3t}\\begin{bmatrix}1\\\\-1\\end{bmatrix}$\n",
"\n",
"$u(0)=\\begin{bmatrix}1\\\\0\\end{bmatrix}$$1$$0$$u(\\infty)=\\begin{bmatrix}\\frac{2}{3}\\\\\\frac{1}{3}\\end{bmatrix}$$u(t)\\to 0$$\\lambda=-3+6i$$\\left|e^{(-3+6i)t}\\right|$$\\left|e^{6it}\\right|$$\\left|\\cos 6t+i\\sin 6t\\right|=1$$\\cos^2\\alpha+\\sin^2\\alpha=1$****$0$$\\infty$\n",
"\n",
"$0$$0$\n",
"\n",
"$0$$A$$-A$\n",
"\n",
"$A=\\begin{bmatrix}a&b\\\\c&d\\end{bmatrix}$$a+d=\\lambda_1+\\lambda_2$$0$$\\begin{bmatrix}-2&0\\\\0&1\\end{bmatrix}$$-1$$\\det A=\\lambda_1\\cdot\\lambda_2$\n",
"\n",
"$u_1, u_2$diagonalize$\\frac{\\mathrm{d}u}{\\mathrm{d}t}=Au$$u$$u=Sv$$S\\frac{\\mathrm{d}v}{\\mathrm{d}t}=ASv$$S^{-1}$$\\frac{\\mathrm{d}v}{\\mathrm{d}t}=S^{-1}ASv=\\Lambda v$$u$$Sv$$v$$\\begin{cases}\\frac{\\mathrm{d}v_1}{\\mathrm{d}t}&=\\lambda_1v_1\\\\\\frac{\\mathrm{d}v_2}{\\mathrm{d}t}&=\\lambda_2v_2\\\\\\vdots&\\vdots\\\\\\frac{\\mathrm{d}v_n}{\\mathrm{d}t}&=\\lambda_nv_n\\end{cases}$$v(t)=e^{\\Lambda t}v(0)$$u(t)=e^{At}u(0)=Se^{\\Lambda t}S^{-1}u(0)$\n",
"\n",
"## $e^{At}$\n",
"\n",
"$e^{At}$exponential matrix\n",
"\n",
"$e^x=1+\\frac{x^2}{2}+\\frac{x^3}{6}+\\cdots$$e^{At}$\n",
"\n",
"$$e^{At}=I+At+\\frac{(At)^2}{2}+\\frac{(At)^3}{6}+\\cdots+\\frac{(At)^n}{n!}+\\cdots$$\n",
"\n",
"$e^x=\\sum \\frac{x^n}{n!}$$\\frac{1}{1-x}=\\sum x^n$$(I-At)^{-1}=I+At+(At)^2+(At)^3+\\cdots$$t$$I-At$$I+At$$e^x$$A$$1$\n",
"\n",
"$Se^{\\Lambda t}S^{-1}=e^{At}$\n",
"\n",
"$$\n",
"e^{At}=I+At+\\frac{(At)^2}{2}+\\frac{(At)^3}{6}+\\cdots+\\frac{(At)^n}{n!}+\\cdots\\\\\n",
"e^{At}=SS^{-1}+S\\Lambda S^{-1}t+\\frac{S\\Lambda^2S^{-1}}{2}t^2+\\frac{S\\Lambda^3S^{-1}}{6}t^3+\\cdots+\\frac{S\\Lambda^nS^{-1}}{n!}t^n+\\cdots\\\\\n",
"e^{At}=S\\left(I+\\Lambda t+\\frac{\\Lambda^2t^2}{2}+\\frac{\\Lambda^3t^3}{3}+\\cdots+\\frac{\\Lambda^nt^n}{n}+\\cdots\\right)S^{-1}\\\\\n",
"e^{At}=Se^{\\Lambda t}S^{-1}\n",
"$$\n",
"\n",
"$e^{At}$****\n",
"\n",
"$e^{\\Lambda t}$$e^{At}$$e^{\\Lambda t}=\\begin{bmatrix}e^{\\lambda_1t}&0&\\cdots&0\\\\0&e^{\\lambda_2t}&\\cdots&0\\\\\\vdots&\\vdots&\\ddots&\\vdots\\\\0&0&\\cdots&e^{\\lambda_nt}\\end{bmatrix}$\n",
"\n",
"$u(t)=Se^{\\Lambda t}S^{-1}u(0)$$0$$0$$1$\n",
"\n",
"$y''+by'+k=0$$\\begin{cases}y''&=-by'-ky\\\\y'&=y'\\end{cases}$$\\begin{bmatrix}y''\\\\y'\\end{bmatrix}=\\begin{bmatrix}-b&-k\\\\1&0\\end{bmatrix}\\begin{bmatrix}y'\\\\y\\end{bmatrix}$$u'=\\begin{bmatrix}y''\\\\y'\\end{bmatrix}, \\ u=\\begin{bmatrix}y'\\\\y\\end{bmatrix}$\n",
"\n",
"$5$$y'''''+by''''+cy'''+dy''+ey'+f=0$$\\begin{bmatrix}y'''''\\\\y''''\\\\y'''\\\\y''\\\\y'\\end{bmatrix}=\\begin{bmatrix}-b&-c&-d&-e&-f\\\\1&0&0&0&0\\\\0&1&0&0&0\\\\0&0&1&0&0\\\\0&0&0&1&0\\end{bmatrix}\\begin{bmatrix}y''''\\\\y'''\\\\y''\\\\y'\\\\y\\end{bmatrix}$$5\\times 5$"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
```
|
/content/code_sandbox/chapter23.ipynb
|
jupyter notebook
| 2016-05-09T14:20:50
| 2024-08-16T14:40:36
|
notes-linear-algebra
|
zlotus/notes-linear-algebra
| 3,514
| 2,467
|
```jupyter notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# \n",
"\n",
"\n",
"\n",
"## \n",
"\n",
"$\\begin{cases}x&+2y&+z&=2\\\\3x&+8y&+z&=12\\\\&4y&+z&=2\\end{cases}$$Ax=b$$\\begin{bmatrix}1&2&1\\\\3&8&1\\\\0&4&1\\end{bmatrix}\\begin{bmatrix}x\\\\y\\\\z\\end{bmatrix}=\\begin{bmatrix}2\\\\12\\\\2\\end{bmatrix}$\n",
"\n",
"\n",
"\n",
"* $x$$A=\\begin{bmatrix}\\underline{1}&2&1\\\\3&8&1\\\\0&4&1\\end{bmatrix}$pivot$\\begin{bmatrix}\\underline{1}&2&1\\\\3&8&1\\\\0&4&1\\end{bmatrix}\\xrightarrow{row_2-3row_1}\\begin{bmatrix}\\underline{1}&2&1\\\\0&2&-2\\\\0&4&1\\end{bmatrix}$\n",
"\n",
" $b$$A$$b$MATLAB\n",
"* $y$$\\begin{bmatrix}\\underline{1}&2&1\\\\0&\\underline{2}&-2\\\\0&4&1\\end{bmatrix}\\xrightarrow{row_3-2row_2}\\begin{bmatrix}\\underline{1}&2&1\\\\0&\\underline{2}&-2\\\\0&0&\\underline{5}\\end{bmatrix}$\n",
" \n",
" \n",
"\n",
"$z$$-4$\n",
"\n",
"* back substitution$A$$b$augmented matrix$\\left[\\begin{array}{c|c}A&b\\end{array}\\right]=\\left[\\begin{array}{ccc|c}1&2&1&2\\\\3&8&1&12\\\\0&4&1&2\\end{array}\\right]\\to\\left[\\begin{array}{ccc|c}1&2&1&2\\\\0&2&-2&6\\\\0&4&1&2\\end{array}\\right]\\to\\left[\\begin{array}{ccc|c}1&2&1&2\\\\0&2&-2&6\\\\0&0&5&-10\\end{array}\\right]$\n",
"\n",
" $z$$\\begin{cases}x&+2y&+z&=2\\\\&2y&-2z&=6\\\\&&5z&=-10\\end{cases}$$z=-2$$y=1$$x=2$\n",
"\n",
"## \n",
"\n",
"$\\Bigg[v_1\\ v_2\\ v_3\\Bigg]\\begin{bmatrix}3\\\\4\\\\5\\end{bmatrix}=3v_1+4v_2+5v_3$\n",
"\n",
"$\\begin{bmatrix}1&2&7\\end{bmatrix}\\begin{bmatrix}&row_1&\\\\&row_2&\\\\&row_3&\\end{bmatrix}=1row_1+2row_2+7row_3$\n",
"\n",
"\n",
"\n",
"* $row_2-3row_1$$\\begin{bmatrix}1&0&0\\\\-3&1&0\\\\0&0&1\\end{bmatrix}\\begin{bmatrix}1&2&1\\\\3&8&1\\\\0&4&1\\end{bmatrix}=\\begin{bmatrix}1&2&1\\\\0&2&-2\\\\0&4&1\\end{bmatrix}$$I=\\begin{bmatrix}1&0&0\\\\0&1&0\\\\0&0&1\\end{bmatrix}$$I$$1$$E_{21}$\n",
"\n",
"* $E_{32}$$\\begin{bmatrix}1&0&0\\\\0&1&0\\\\0&-2&1\\end{bmatrix}\\begin{bmatrix}1&2&1\\\\0&2&-2\\\\0&4&1\\end{bmatrix}=\\begin{bmatrix}1&2&1\\\\0&2&-2\\\\0&0&5\\end{bmatrix}$elementary matrix\n",
"\n",
"* $E_{32}(E_{12}A)=U$$A$$U$$(E_{32}E_{21})A$associative law\n",
"\n",
"permutation matrix$\\begin{bmatrix}0&1\\\\1&0\\end{bmatrix}\\begin{bmatrix}a&b\\\\c&d\\end{bmatrix}=\\begin{bmatrix}c&d\\\\a&b\\end{bmatrix}$$\\begin{bmatrix}a&b\\\\c&d\\end{bmatrix}\\begin{bmatrix}0&1\\\\1&0\\end{bmatrix}=\\begin{bmatrix}b&a\\\\d&c\\end{bmatrix}$\n",
"\n",
"$A$$U$$U$$A$\n",
"\n",
"## \n",
"\n",
"$E_{21}$$\\Bigg[\\quad ?\\quad \\Bigg]\\begin{bmatrix}1&0&0\\\\-3&1&0\\\\0&0&1\\end{bmatrix}=\\begin{bmatrix}1&0&0\\\\0&1&0\\\\0&0&1\\end{bmatrix}$$\\begin{bmatrix}1&0&0\\\\3&1&0\\\\0&0&1\\end{bmatrix}$\n",
"\n",
"$E$$E^{-1}$$E^{-1}E=I$"
]
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python [default]",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
```
|
/content/code_sandbox/chapter02.ipynb
|
jupyter notebook
| 2016-05-09T14:20:50
| 2024-08-16T14:40:36
|
notes-linear-algebra
|
zlotus/notes-linear-algebra
| 3,514
| 1,550
|
```jupyter notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# \n",
"\n",
"$2$$2$\n",
"\n",
"$\\begin{cases}2x&-y&=0\\\\-x&+2y&=3\\end{cases}$$\\begin{bmatrix}2&-1\\\\-1&2\\end{bmatrix}\\begin{bmatrix}x\\\\y\\end{bmatrix}=\\begin{bmatrix}0\\\\3\\end{bmatrix}$$A$$x$$b$$Ax=b$\n",
"\n",
""
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
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"text/plain": [
"<matplotlib.figure.Figure at 0x104d91a58>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import pandas as pd\n",
"import seaborn as sns\n",
"\n",
"x = [-2, 2, -2, 2]\n",
"y = [-4, 4, 0.5, 2.5]\n",
"\n",
"fig = plt.figure()\n",
"plt.axhline(y=0, c='black')\n",
"plt.axvline(x=0, c='black')\n",
"\n",
"plt.plot(x[:2], y[:2], x[2:], y[2:])\n",
"\n",
"plt.draw()"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"plt.close(fig)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$x\\begin{bmatrix}2\\\\-1\\end{bmatrix}+y\\begin{bmatrix}-1\\\\2\\end{bmatrix}=\\begin{bmatrix}0\\\\3\\end{bmatrix}$$col_1$$col_2$$1\\begin{bmatrix}2\\\\-1\\end{bmatrix}+2\\begin{bmatrix}-1\\\\2\\end{bmatrix}=\\begin{bmatrix}0\\\\3\\end{bmatrix}$\n",
"\n",
""
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x11909a320>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from functools import partial\n",
"\n",
"fig = plt.figure()\n",
"plt.axhline(y=0, c='black')\n",
"plt.axvline(x=0, c='black')\n",
"ax = plt.gca()\n",
"ax.set_xlim(-2.5, 2.5)\n",
"ax.set_ylim(-3, 4)\n",
"\n",
"arrow_vector = partial(plt.arrow, width=0.01, head_width=0.1, head_length=0.2, length_includes_head=True)\n",
"\n",
"arrow_vector(0, 0, 2, -1, color='g')\n",
"arrow_vector(0, 0, -1, 2, color='c')\n",
"arrow_vector(2, -1, -2, 4, color='b')\n",
"arrow_vector(0, 0, 0, 3, width=0.05, color='r')\n",
"\n",
"plt.draw()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"plt.close(fig)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$col_1$$col_2$$b$\n",
"\n",
"$x\\begin{bmatrix}2\\\\-1\\end{bmatrix}+y\\begin{bmatrix}-1\\\\2\\end{bmatrix}=\\begin{bmatrix}0\\\\3\\end{bmatrix}$$col_1,col_2$$b$$col_1,col_2$\n",
"\n",
"$\\begin{cases}2x&-y&&=0\\\\-x&+2y&-z&=-1\\\\&-3y&+4z&=4\\end{cases}$$A=\\begin{bmatrix}2&-1&0\\\\-1&2&-1\\\\0&-3&4\\end{bmatrix},\\ b=\\begin{bmatrix}0\\\\-1\\\\4\\end{bmatrix}$\n",
"\n",
"\n",
"\n",
"$x\\begin{bmatrix}2\\\\-1\\\\0\\end{bmatrix}+y\\begin{bmatrix}-1\\\\2\\\\-3\\end{bmatrix}+z\\begin{bmatrix}0\\\\-1\\\\4\\end{bmatrix}=\\begin{bmatrix}0\\\\-1\\\\4\\end{bmatrix}$$b$$x=0,y=0,z=1$$b=\\begin{bmatrix}1\\\\1\\\\-3\\end{bmatrix}$$x=1,y=1,z=0$\n",
"\n",
"\n",
"\n",
"$b$$Ax=b$$A$$b$\n",
"\n",
"$col_3=col_1+col_2$$b$$b$$b$********\n",
"\n",
"$b$$b$\n",
"\n",
"$Ax=b$$A=\\begin{bmatrix}2&5\\\\1&3\\end{bmatrix},\\ x=\\begin{bmatrix}1\\\\2\\end{bmatrix}$\n",
"\n",
"* $\\begin{bmatrix}2&5\\\\1&3\\end{bmatrix}\\begin{bmatrix}1\\\\2\\end{bmatrix}=1\\begin{bmatrix}2\\\\1\\end{bmatrix}+2\\begin{bmatrix}5\\\\3\\end{bmatrix}=\\begin{bmatrix}12\\\\7\\end{bmatrix}$\n",
"* $x$$\\begin{bmatrix}2&5\\end{bmatrix}\\cdot\\begin{bmatrix}1&2\\end{bmatrix}^T=12,\\ \\begin{bmatrix}1&3\\end{bmatrix}\\cdot\\begin{bmatrix}1&2\\end{bmatrix}^T=7$\n",
"\n",
"$Ax$$A$"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
```
|
/content/code_sandbox/chapter01.ipynb
|
jupyter notebook
| 2016-05-09T14:20:50
| 2024-08-16T14:40:36
|
notes-linear-algebra
|
zlotus/notes-linear-algebra
| 3,514
| 17,561
|
```jupyter notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# \n",
"\n",
"determinant\n",
"\n",
"1. $\\det{I}=1$\n",
"2. \n",
"\n",
" $\\det P=\\begin{cases}1\\quad &even\\\\-1\\quad &odd\\end{cases}$\n",
"\n",
" $\\begin{vmatrix}1&0\\\\0&1\\end{vmatrix}=1,\\quad\\begin{vmatrix}0&1\\\\1&0\\end{vmatrix}=-1$$\\begin{vmatrix}a&b\\\\c&d\\end{vmatrix}=ad-bc$\n",
"\n",
"3. a. $\\begin{vmatrix}ta&tb\\\\tc&td\\end{vmatrix}=t\\begin{vmatrix}a&b\\\\c&d\\end{vmatrix}$\n",
"\n",
" b. $\\begin{vmatrix}a+a'&b+b'\\\\c&d\\end{vmatrix}=\\begin{vmatrix}a&b\\\\c&d\\end{vmatrix}+\\begin{vmatrix}a'&b'\\\\c&d\\end{vmatrix}$\n",
" \n",
" ****~~$\\det (A+B)=\\det A+\\det B$~~\n",
"\n",
"4. 2\n",
"5. $k$$i$$l$\n",
"\n",
" $\\begin{vmatrix}a&b\\\\c-la&d-lb\\end{vmatrix}\\stackrel{3.b}{=}\\begin{vmatrix}a&b\\\\c&d\\end{vmatrix}+\\begin{vmatrix}a&b\\\\-la&-lb\\end{vmatrix}\\stackrel{3.a}{=}\\begin{vmatrix}a&b\\\\c&d\\end{vmatrix}-l\\begin{vmatrix}a&b\\\\a&b\\end{vmatrix}\\stackrel{4}{=}\\begin{vmatrix}a&b\\\\c&d\\end{vmatrix}$\n",
"\n",
"6. 3.a$l$$l\\det A=\\det A$54\n",
"\n",
"7. $U=\\begin{vmatrix}d_{1}&*&\\cdots&*\\\\0&d_{2}&\\cdots&*\\\\\\vdots&\\vdots&\\ddots&\\vdots\\\\0&0&\\cdots&d_{n}\\end{vmatrix}$$\\det U=d_1d_2\\cdots d_n$5$*$$D=\\begin{vmatrix}d_{1}&0&\\cdots&0\\\\0&d_{2}&\\cdots&0\\\\\\vdots&\\vdots&\\ddots&\\vdots\\\\0&0&\\cdots&d_{n}\\end{vmatrix}$3$d_nd_{n-1}\\cdots d_1\\begin{vmatrix}1&0&\\cdots&0\\\\0&1&\\cdots&0\\\\\\vdots&\\vdots&\\ddots&\\vdots\\\\0&0&\\cdots&1\\end{vmatrix}$\n",
"\n",
"8. $A$$\\det A=0$$A$$\\det A\\neq0$\n",
"\n",
" $\\begin{vmatrix}a&b\\\\c&d\\end{vmatrix}\\xrightarrow{}\\begin{vmatrix}a&b\\\\0&d-\\frac{c}{a}b\\end{vmatrix}=ad-bc$\n",
"\n",
"9. $\\det AB=(\\det A)(\\det B)$$\\det I=\\det{A^{-1}A}=\\det A^{-1}\\det A$$\\det A^{-1}=\\frac{1}{\\det A}$\n",
"\n",
" $\\det A^2=(\\det A)^2$$\\det 2A=2^n\\det A$\n",
"\n",
"10. $\\det A^T=\\det A$2\n",
" \n",
" $\\left|A^T\\right|=\\left|A\\right|\\rightarrow\\left|U^TL^T\\right|=\\left|LU\\right|\\rightarrow\\left|U^T\\right|\\left|L^T\\right|=\\left|L\\right|\\left|U\\right|$$L, U$"
]
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python [default]",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
```
|
/content/code_sandbox/chapter18.ipynb
|
jupyter notebook
| 2016-05-09T14:20:50
| 2024-08-16T14:40:36
|
notes-linear-algebra
|
zlotus/notes-linear-algebra
| 3,514
| 1,230
|
```jupyter notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 3\n",
"\n",
"$\\det(A-\\lambda I)=0$$\\lambda$$\\lambda$$A-\\lambda I$$x$\n",
"\n",
"\n",
"\n",
"* $\\frac{\\mathrm{d}u}{\\mathrm{d}t}=Au$$e^{At}$\n",
"* $A=A^T$$A=Q\\Lambda Q^T$\n",
"* \n",
"* $B=M^{-1}AM$$A,B$\n",
"* $A=U\\varSigma V^T$\n",
"\n",
"\n",
"\n",
"1. *$\\frac{\\mathrm{d}u}{\\mathrm{d}t}=Au=\\begin{bmatrix}0&-1&0\\\\1&0&-1\\\\0&1&0\\end{bmatrix}u$*\n",
"\n",
" $A$/$u(t)=c_1e^{\\lambda_1t}x_1+c_2e^{\\lambda_2t}x_2+c_3e^{\\lambda_3t}x_3$$\\lambda_1=0$\n",
" \n",
" $A^T=-A$anti-symmetricskew-symmetric$0\\cdot i,\\ b\\cdot i,\\ -b\\cdot i$$\\det(A-\\lambda I)=0$$\\begin{bmatrix}-\\lambda&-1&0\\\\1&-\\lambda&-1\\\\0&1&\\lambda\\end{bmatrix}=\\lambda^3+2\\lambda=0, \\lambda_2=\\sqrt 2i, \\lambda_3=-\\sqrt 2i$\n",
" \n",
" $u(t)=c_1+c_2e^{\\sqrt 2it}x_2+c_3e^{-\\sqrt 2it}x_3$$e^{\\sqrt 2it}$$u(t)$$t=0$$u(0)=c_1+c_2+c_3$$e^{\\sqrt 2iT}=1$$\\sqrt 2iT=2\\pi i$$u(T)=c_1+c_2+c_3$$T=\\pi\\sqrt 2$\n",
" \n",
" $AA^T=A^TA$$A=A^T$$A=-A^T$$Q^{-1}=Q^T$\n",
" \n",
" $u(t)=e^{At}u(0)$$A=S\\Lambda S^{-1}, e^{At}=Se^{\\Lambda t}S^{-1}=S\\begin{bmatrix}e^{\\lambda_1t}&&&\\\\&e^{\\lambda_1t}&&\\\\&&\\ddots&\\\\&&&e^{\\lambda_1t}\\end{bmatrix}S^{-1}$$S,\\lambda$\n",
"\n",
"2. $\\lambda_1=0,\\lambda_2=c,\\lambda_3=2$$x_1=\\begin{bmatrix}1\\\\1\\\\1\\end{bmatrix},x_2=\\begin{bmatrix}1&-1&0\\end{bmatrix},x_3=\\begin{bmatrix}1\\\\1\\\\-2\\end{bmatrix}$\n",
" \n",
" *$c$*$c$\n",
" \n",
" *$c$*\n",
" \n",
" *$c$*$c$\n",
" \n",
" *$c$*$1$$1$$A$\n",
" \n",
" *$c$$P=\\frac{A}{2}$*$P^2=P$$\\lambda^2=\\lambda$$c=0,2$\n",
" \n",
" $A$\n",
"\n",
"3. $A=U\\varSigma V^T$\n",
"\n",
" $V$$A^TA=V\\varSigma^TU^TU\\varSigma V^T=V\\left(\\varSigma^T\\varSigma\\right)V^T$$V$$A^TA$$\\varSigma^T\\varSigma$$A^TA$$A^TA$$\\sigma^2$\n",
" \n",
" $U$$AA^T=U\\varSigma^TV^TV\\varSigma U^T=U\\left(\\varSigma^T\\varSigma\\right)U^T$$Av_i=\\sigma_iu_i$$v_i$$u_i$$AV=U\\varSigma$$U$\n",
" \n",
" *$A=\\bigg[u_1\\ u_2\\bigg]\\begin{bmatrix}3&0\\\\0&2\\end{bmatrix}\\bigg[v_1\\ v_2\\bigg]^T$*\n",
" \n",
" $\\varSigma$$A$$\\varSigma$$2$$-5$$2$$0$$A$$1$$1$$v_2$\n",
"\n",
"4. *$A$*\n",
"\n",
" $|\\lambda|=1$$Qx=\\lambda x$$\\|Qx\\|=|\\lambda|\\|x\\|$****$\\|x\\|=|\\lambda|\\|x\\|$$\\lambda=\\pm1$\n",
" \n",
" *$A$*$-1$\n",
" \n",
" *$A$*$2$$\\pm1$\n",
" \n",
" *$A$*\n",
" \n",
" *$A$*\n",
" \n",
" *$P=\\frac{1}{2}(A+I)$*\n",
" \n",
" $A$$P$$P^2=P$$\\frac{1}{4}\\left(A^2+2A+I\\right)=\\frac{1}{2}(A+I)$$A^2$$A$$A^T=A^{-1}$$A$$A=A^T=A^{-1}$$A^2=I$$\\frac{1}{4}(2A+2I)=\\frac{1}{2}(A+I)$\n",
" \n",
" $A$$\\pm1$$A+I$$0,2$$\\frac{1}{2}(A+I)$$0,1$"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
```
|
/content/code_sandbox/chapter33.ipynb
|
jupyter notebook
| 2016-05-09T14:20:50
| 2024-08-16T14:40:36
|
notes-linear-algebra
|
zlotus/notes-linear-algebra
| 3,514
| 1,670
|
```jupyter notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# \n",
"\n",
"\n",
"\n",
"## \n",
"\n",
"$z=\\begin{bmatrix}z_1\\\\z_2\\\\\\vdots\\\\z_n\\end{bmatrix}$$z$$\\mathbb{R}^n$$\\mathbb{C}^n$\n",
"\n",
"### \n",
"\n",
"$\\left|v\\right|=\\sqrt{v^Tv}$$z^Tz$$z^Tz=\\begin{bmatrix}z_1&z_2&\\cdots&z_n\\end{bmatrix}\\begin{bmatrix}z_1\\\\z_2\\\\\\vdots\\\\z_n\\end{bmatrix}=z_1^2+z_2^2+\\cdots+z_n^2$$z_i$$\\begin{bmatrix}1&i\\end{bmatrix}$$0$\n",
"\n",
"$\\left|z\\right|=\\sqrt{\\bar{z}^Tz}$$\\begin{bmatrix}\\bar z_1&\\bar z_2&\\cdots&\\bar z_n\\end{bmatrix}\\begin{bmatrix}z_1\\\\z_2\\\\\\vdots\\\\z_n\\end{bmatrix}$$\\begin{bmatrix}1&i\\end{bmatrix}$$\\begin{bmatrix}1&-i\\end{bmatrix}\\begin{bmatrix}1\\\\i\\end{bmatrix}=2$\n",
"\n",
"$z^Hz$$H$HermiteHermitian\n",
"\n",
"### \n",
"\n",
"$y^Tx$$y^Hx$\n",
"\n",
"### \n",
"\n",
"$A^T=A$$\\bar{A}^T=A$$\\begin{bmatrix}2&3+i\\\\3-i&5\\end{bmatrix}$$A^H=A$\n",
"\n",
"### \n",
"\n",
"$q_i^Tq_j=\\begin{cases}0\\quad i\\neq j\\\\1\\quad i=j\\end{cases}$$\\bar{q}_i^Tq_j=q_i^Hq_j=\\begin{cases}0\\quad i\\neq j\\\\1\\quad i=j\\end{cases}$\n",
"\n",
"$Q=\\Bigg[q_1\\ q_2\\ \\cdots\\ q_n\\Bigg]$$Q^TQ=I$$Q^HQ=I$\n",
"\n",
"orthogonalunitaryunitary matrix$Q^HQ=I$\n",
"\n",
"## \n",
"\n",
"$n$$F_n=\\begin{bmatrix}1&1&1&\\cdots&1\\\\1&w&w^2&\\cdots&w^{n-1}\\\\1&w^2&w^4&\\cdots&w^{2(n-1)}\\\\\\vdots&\\vdots&\\vdots&\\ddots&\\vdots\\\\1&w^{n-1}&w^{2(n-1)}&\\cdots&w^{(n-1)^2}\\end{bmatrix}$$(F_n)_{ij}=w^{ij}\\quad i,j=0,1,2,\\cdots,n-1$$w$$w^n=1$$w=e^{i2\\pi/n}$$w$$w=\\cos\\frac{2\\pi}{n}+i\\sin\\frac{2\\pi}{n}$\n",
"\n",
"$w$$w$$6$$w=e^{2\\pi/6}$$60^\\circ$$120^\\circ$$w^6$$1$$1$$6$$w$\n",
"\n",
"* $4$$w$$w=i,\\ w^2=-1,\\ w^3=-i,\\ w^4=1$$F_4=\\begin{bmatrix}1&1&1&1\\\\1&i&i^2&i^3\\\\1&i^2&i^4&i^6\\\\1&i^3&i^6&i^9\\end{bmatrix}=\\begin{bmatrix}1&1&1&1\\\\1&i&-1&-i\\\\1&-1&1&-1\\\\1&-i&-1&i\\end{bmatrix}$\n",
"\n",
" $\\bar{c_2}^Tc_4=1-0+1-0=0$$F_4$$\\frac{1}{2}$$F_4=\\frac{1}{2}\\begin{bmatrix}1&1&1&1\\\\1&i&-1&-i\\\\1&-1&1&-1\\\\1&-i&-1&i\\end{bmatrix}$$F_4^HF_4=I$$F_4^H$\n",
" \n",
"## Fast Fourier transform/FFT\n",
"\n",
"$F_6,\\ F_3$$F_8,\\ F_4$$F_{64},\\ F_{32}$\n",
"\n",
"$F_64$$F_{64}$$64^2$$F_{64}$$F_{32}$$\\Bigg[F_{64}\\Bigg]=\\begin{bmatrix}I&D\\\\I&-D\\end{bmatrix}\\begin{bmatrix}F_{32}&0\\\\0&F_{32}\\end{bmatrix}\\begin{bmatrix}1&&\\cdots&&&0&&\\cdots&&\\\\0&&\\cdots&&&1&&\\cdots&&\\\\&1&\\cdots&&&&0&\\cdots&&\\\\&0&\\cdots&&&&1&\\cdots&&\\\\&&&\\ddots&&&&&\\ddots&&\\\\&&&\\ddots&&&&&\\ddots&&\\\\&&&\\cdots&1&&&&\\cdots&0\\\\&&&\\cdots&0&&&&\\cdots&1\\end{bmatrix}$\n",
"\n",
"\n",
"\n",
"* $I$$D=\\begin{bmatrix}1&&&&\\\\&w&&&\\\\&&w^2&&\\\\&&&\\ddots&\\\\&&&&w^{31}\\end{bmatrix}$$D$$32$$32$\n",
"\n",
"* $F_{32}$$2\\times 32^2$\n",
"\n",
"* $P$$\\Bigg[x_0\\ x_1\\ \\cdots\\Bigg]$$\\Bigg[x_0\\ x_2\\ \\cdots\\ x_1\\ x_3\\ \\cdots\\Bigg]$[FFT](path_to_url~berlek/classes/CLASS.110/LECTURES/FFT)[How the FFT is computed](path_to_url\n",
"\n",
"$64^2$$2\\times 32^2+32$$F_{32}$$F_{16}$$\\begin{bmatrix}I_{32}&D_{32}\\\\I_{32}&-D_{32}\\end{bmatrix}\\begin{bmatrix}I_{16}&D_{16}&&\\\\I_{16}&-D_{16}&&\\\\&&I_{16}&D_{16}\\\\&&I_{16}&-D_{16}\\end{bmatrix}\\begin{bmatrix}F_{16}&&&\\\\&F_{16}&&\\\\&&F_{16}&\\\\&&&F_{16}\\end{bmatrix}\\begin{bmatrix}P_{16}&\\\\&P_{16}\\end{bmatrix}\\Bigg[\\ P_{32}\\ \\Bigg]$$32^2$$2\\times 16^2+16$\n",
"\n",
"$2\\left(2\\left(2\\left(2\\left(2\\left(2\\left(1\\right)^2+1\\right)+2\\right)+4\\right)+8\\right)+16\\right)+32$$6\\times 32=\\log_264\\times \\frac{64}{2}$$\\frac{n}{2}\\log_2n$\n",
"\n",
"$n^2$$\\frac{n}{2}\\log_2n$$n=10$FFT$n^2=1024\\times 1024$FFT$\\frac{n}{2}\\log_2n=5\\times 1024$$\\frac{1}{200}$\n",
"\n",
""
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
```
|
/content/code_sandbox/chapter27.ipynb
|
jupyter notebook
| 2016-05-09T14:20:50
| 2024-08-16T14:40:36
|
notes-linear-algebra
|
zlotus/notes-linear-algebra
| 3,514
| 2,097
|
```jupyter notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# \n",
"\n",
"## \n",
"\n",
"Markov matrix\n",
"\n",
"1. ****$0$\n",
"2. $1$\n",
"\n",
"steady state$0$$1$\n",
"\n",
"\n",
"\n",
"1. $1$\n",
"2. $1$\n",
"\n",
"$u_k=A^ku_0=S\\Lambda^kS^{-1}u_0=S\\Lambda^kS^{-1}Sc=S\\Lambda^kc=c_1\\lambda_1^kx_1+c_2\\lambda_2^kx_2+\\cdots+c_n\\lambda_n^kx_n$$\\lambda_1=1$$1$$k$$0$$k\\to\\infty$$u_k=c_1x_1$$u_0$$1$\n",
"\n",
"$A=\\begin{bmatrix}0.1&0.01&0.3\\\\0.2&0.99&0.3\\\\0.7&0&0.4\\end{bmatrix}$$A-I=\\begin{bmatrix}-0.9&0.01&0.3\\\\0.2&-0.01&0.3\\\\0.7&0&-0.6\\end{bmatrix}$$A-I$$0$$1$$1$$0$\n",
"\n",
"$n$$1$$\\begin{bmatrix}1\\\\1\\\\\\vdots\\\\1\\end{bmatrix}$$A-I$$(A-I)^T$$A$$1$$A-I$$Ax=x\\rightarrow(A-I)x=0$\n",
"\n",
"10$\\det(A-\\lambda I)=0$$\\det(A-\\lambda I)^T=0$$\\det(A^T-\\lambda I^T)=0$$\\det(A^T-\\lambda I)=0$$A^T$\n",
"\n",
"$\\lambda_1=1$$(A-I)x_1=0$$x_1=\\begin{bmatrix}0.6\\\\33\\\\0.7\\end{bmatrix}$\n",
"\n",
"\n",
"\n",
"$\\begin{bmatrix}u_{cal}\\\\u_{mass}\\end{bmatrix}_{k+1}\\begin{bmatrix}0.9&0.2\\\\0.1&0.8\\end{bmatrix}\\begin{bmatrix}u_{cal}\\\\u_{mass}\\end{bmatrix}_k$$10%$$20%$\n",
"\n",
"$\\begin{bmatrix}u_{cal}\\\\u_{mass}\\end{bmatrix}_0=\\begin{bmatrix}0\\\\1000\\end{bmatrix}$$\\begin{bmatrix}u_{cal}\\\\u_{mass}\\end{bmatrix}_1=\\begin{bmatrix}0.9&0.2\\\\0.1&0.8\\end{bmatrix}\\begin{bmatrix}0\\\\1000\\end{bmatrix}=\\begin{bmatrix}200\\\\800\\end{bmatrix}$\n",
"\n",
"$\\lambda_1=1$$\\lambda_2=0.7$\n",
"\n",
"$\\lambda_1=1$$A-I$$\\begin{bmatrix}-0.1&0.2\\\\0.1&-0.2\\end{bmatrix}$$x_1=\\begin{bmatrix}2\\\\1\\end{bmatrix}$$u_{\\infty}=c_1\\begin{bmatrix}2\\\\1\\end{bmatrix}$$1000$$c_1=\\frac{1000}{3}$$\\begin{bmatrix}u_{cal}\\\\u_{mass}\\end{bmatrix}_{\\infty}=\\begin{bmatrix}\\frac{2000}{3}\\\\\\frac{1000}{3}\\end{bmatrix}$$1$\n",
"\n",
"$\\lambda_2=0.7$$A-0.7I$$\\begin{bmatrix}0.2&0.2\\\\0.1&0.1\\end{bmatrix}$$x_2=\\begin{bmatrix}-1\\\\1\\end{bmatrix}$\n",
"\n",
"$u_0$$c_1, c_2$$u_k=c_11^k\\begin{bmatrix}2\\\\1\\end{bmatrix}+c_20.7^k\\begin{bmatrix}-1\\\\1\\end{bmatrix}$$k=0$$u_0=\\begin{bmatrix}0\\\\1000\\end{bmatrix}=c_1\\begin{bmatrix}2\\\\1\\end{bmatrix}+c_2\\begin{bmatrix}-1\\\\1\\end{bmatrix}$$c_1=\\frac{1000}{3}, c_2=\\frac{2000}{3}$\n",
"\n",
"$1$\n",
"\n",
"## \n",
"\n",
"Fourier series\n",
"\n",
"$q_1,q_2,\\cdots q_n$$v$$v=x_1q_1+x_2q_2+\\cdots+x_nq_n$$x_i$$x_1$$x_1q_1$$q_1^T$$q_i$$1$$q_i^Tq_j=0, q_i^2=1$$q_1^Tv=x_1$\n",
"\n",
"$\\Bigg[q_1\\ q_2\\ \\cdots\\ q_n\\Bigg]\\begin{bmatrix}x_1\\\\x_2\\\\\\vdots\\\\x_n\\end{bmatrix}=v$$Qx=v$$x=Q^{-1}v$$Q^T=Q^{-1}$$x=Q^Tv$$x$$x_i=q_i^Tv$\n",
"\n",
"\n",
"\n",
"$$\n",
"f(x)=a_0+a_1\\cos x+b_1\\sin x+a_2\\cos 2x+b_2\\sin 2x+\\cdots\n",
"$$\n",
"\n",
"$v$$f(x)$$f(x)$$v$$1,\\cos x,\\sin x,\\cos 2x,\\sin 2x,\\cdots$$q_1,q_2,\\cdots,q_n$\n",
"\n",
"$v,w$$v^Tw=v_1w_1+v_2w_2+\\cdots+v_nw_n=0$$f(x)\\cdot g(x)$\n",
"\n",
"$$f^Tg=\\int f(x)g(x)\\mathrm{d}x$$\n",
"\n",
"$2\\pi$$f^Tg=\\int_0^{2\\pi}f(x)g(x)\\mathrm{d}x$$\\int_0^{2\\pi}\\sin{x}\\cos{x}\\mathrm{d}x=\\left.\\frac{1}{2}\\sin^2x\\right|_0^{2\\pi}=0$[](path_to_url\n",
"\n",
"$\\cos x$$a_0$$f(x)$$\\cos x$$\\int_0^{2\\pi}f(x)\\cos x\\mathrm{d}x=a_1\\int_0^{2\\pi}\\cos^2x\\mathrm{d}x$$\\cos x$$a_1\\pi=\\int_0^{2\\pi}f(x)\\cos x\\mathrm{d}x\\rightarrow a_1=\\frac{1}{\\pi}\\int_0^{2\\pi}f(x)\\cos x\\mathrm{d}x$\n",
"\n",
"$f(x)$"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
```
|
/content/code_sandbox/chapter24.ipynb
|
jupyter notebook
| 2016-05-09T14:20:50
| 2024-08-16T14:40:36
|
notes-linear-algebra
|
zlotus/notes-linear-algebra
| 3,514
| 1,958
|
```jupyter notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# \n",
"\n",
"\n",
"\n",
"## \n",
"\n",
"* $m\\times n$$A$$n\\times p$$B$$A$$B$$AB=C$$C$$m\\times p$$C$$i$$j$$c_{ij}$\n",
"\n",
" $$c_{ij}=row_i\\cdot column_j=\\sum_{k=i}^na_{ik}b_{kj}$$\n",
"\n",
" $a_{ik}$$A$$i$$k$$b_{kj}$$B$$k$$j$\n",
"\n",
" $c_{ij}$$A$$i$$B$$j$ $\\begin{bmatrix}&\\vdots&\\\\&row_i&\\\\&\\vdots&\\end{bmatrix}\\begin{bmatrix}&&\\\\\\cdots&column_j&\\cdots\\\\&&\\end{bmatrix}=\\begin{bmatrix}&\\vdots&\\\\\\cdots&c_{ij}&\\cdots\\\\&\\vdots&\\end{bmatrix}$\n",
"\n",
"* \n",
"\n",
" $\\begin{bmatrix}&&\\\\A_{col1}&A_{col2}&\\cdots&A_{coln}\\\\&&\\end{bmatrix}\\begin{bmatrix}\\cdots&b_{1j}&\\cdots\\\\\\cdots&b_{2j}&\\cdots\\\\\\cdots&\\vdots&\\cdots\\\\\\cdots&b_{nj}&\\cdots\\\\\\end{bmatrix}=\\begin{bmatrix}&&\\\\\\cdots&\\left(b_{1j}A_{col1}+b_{2j}A_{col2}+\\cdots+b_{nj}A_{coln}\\right)&\\cdots\\\\&&\\end{bmatrix}$\n",
" \n",
" $B$$j$$A$$C$$j$$C$$j$$A$$B$$j$$C_j=b_{1j}A_{col1}+b_{2j}A_{col2}+\\cdots+b_{nj}A_{coln}$\n",
"\n",
"* \n",
" \n",
" $\\begin{bmatrix}\\vdots&\\vdots&\\vdots&\\vdots\\\\a_{i1}&a_{i2}&\\cdots&a_{in}\\\\\\vdots&\\vdots&\\vdots&\\vdots\\end{bmatrix}\\begin{bmatrix}&B_{row1}&\\\\&B_{row2}&\\\\&\\vdots&\\\\&B_{rown}&\\end{bmatrix}=\\begin{bmatrix}\\vdots\\\\\\left(a_{i1}B_{row1}+a_{i2}B_{row2}+\\cdots+a_{in}B_{rown}\\right)\\\\\\vdots\\end{bmatrix}$\n",
" \n",
" $A$$i$$B$$C$$i$$C$$i$$B$$A$$i$$C_i=a_{i1}B_{row1}+a_{i2}B_{row2}+\\cdots+a_{in}B_{rown}$\n",
"\n",
"* $A$$B$\n",
" \n",
" $\\begin{bmatrix}&&\\\\A_{col1}&A_{col2}&\\cdots&A_{coln}\\\\&&\\end{bmatrix}\\begin{bmatrix}&B_{row1}&\\\\&B_{row2}&\\\\&\\vdots&\\\\&B_{rown}&\\end{bmatrix}=A_{col1}B_{row1}+A_{col2}B_{row2}+\\cdots+A_{coln}B_{rown}$\n",
" \n",
" $A_{coli}B_{rowi}$$m\\times 1$$1\\times p$$m\\times p$$m\\times p$\n",
"\n",
"* $\\left[\\begin{array}{c|c}A_1&A_2\\\\\\hline A_3&A_4\\end{array}\\right]\\left[\\begin{array}{c|c}B_1&B_2\\\\\\hline B_3&B_4\\end{array}\\right]=\\left[\\begin{array}{c|c}A_1B_1+A_2B_3&A_1B_2+A_2B_4\\\\\\hline A_3B_1+A_4B_3&A_3B_2+A_4B_4\\end{array}\\right]$\n",
"\n",
" \n",
"\n",
"## \n",
"\n",
"$A^{-1}A=I=AA^{-1}$\n",
"\n",
"$A=\\begin{bmatrix}1&2\\\\3&6\\end{bmatrix}$$0$\n",
"\n",
"$A$$\\begin{bmatrix}1\\\\2\\end{bmatrix}$$AB$$I$\n",
"\n",
"$A$$0$$A$$Ax=0$$\\begin{bmatrix}1&2\\\\3&6\\end{bmatrix}\\begin{bmatrix}3\\\\-1\\end{bmatrix}=\\begin{bmatrix}0\\\\0\\end{bmatrix}$\n",
"\n",
"$x$$Ax=0$$A$$A^{-1}$$A^{-1}Ax=0$$x=0$\n",
"\n",
"$A=\\begin{bmatrix}1&3\\\\2&7\\end{bmatrix}$$A^{-1}$$\\begin{bmatrix}1&3\\\\2&7\\end{bmatrix}\\begin{bmatrix}a&b\\\\c&d\\end{bmatrix}=\\begin{bmatrix}1&0\\\\0&1\\end{bmatrix}$$A$$A^{-1}$$j$$I$$j$\n",
"\n",
"-Gauss-Jordan\n",
"\n",
"* $\\begin{cases}\\begin{bmatrix}1&3\\\\2&7\\end{bmatrix}\\begin{bmatrix}a\\\\b\\end{bmatrix}=\\begin{bmatrix}1\\\\0\\end{bmatrix}\\\\\\begin{bmatrix}1&3\\\\2&7\\end{bmatrix}\\begin{bmatrix}c\\\\d\\end{bmatrix}=\\begin{bmatrix}0\\\\1\\end{bmatrix}\\end{cases}$\n",
"\n",
"* $\\left[\\begin{array}{cc|cc}1&3&1&0\\\\2&7&0&1\\end{array}\\right]$\n",
"* $\\left[\\begin{array}{cc|cc}1&3&1&0\\\\2&7&0&1\\end{array}\\right]\\xrightarrow{row_2-2row_1}\\left[\\begin{array}{cc|cc}1&3&1&0\\\\0&1&-2&1\\end{array}\\right]\\xrightarrow{row_1-3row_2}\\left[\\begin{array}{cc|cc}1&0&7&-3\\\\0&1&-2&1\\end{array}\\right]$\n",
"* $\\left[\\begin{array}{c|c}A&I\\end{array}\\right]$$\\left[\\begin{array}{c|c}I&A^{-1}\\end{array}\\right]$\n",
"\n",
"-$E$$A$$E\\left[\\begin{array}{c|c}A&I\\end{array}\\right]$$EA=I$$\\left[\\begin{array}{c|c}I&E\\end{array}\\right]$$E$$A^{-1}$-$I$"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python [default]",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
```
|
/content/code_sandbox/chapter03.ipynb
|
jupyter notebook
| 2016-05-09T14:20:50
| 2024-08-16T14:40:36
|
notes-linear-algebra
|
zlotus/notes-linear-algebra
| 3,514
| 1,967
|
```jupyter notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# \n",
"\n",
"$A=U\\varSigma V^T$\n",
"\n",
"* $A=Q\\Lambda Q^T$$A$$\\Lambda$$Q$\n",
"\n",
"* $A=S\\Lambda S^T$$S$$A$$S$\n",
"\n",
"$A$****$v_1,v_2,\\cdots,v_r$$A$$A$****$u_1,u_2,\\cdots,u_r$\n",
"\n",
"$A\\Bigg[v_1\\ v_2\\ \\cdots\\ v_r\\Bigg]=\\Bigg[\\sigma_1u_1\\ \\sigma_2u_2\\ \\cdots\\ \\sigma_ru_r\\Bigg]=\\Bigg[u_1\\ u_2\\ \\cdots\\ u_r\\Bigg]\\begin{bmatrix}\\sigma_1&&&\\\\&\\sigma_2&&\\\\&&\\ddots&\\\\&&&\\sigma_n\\end{bmatrix}$$Av_1=\\sigma_1u_1,\\ Av_2=\\sigma_2u_2,\\cdots,Av_r=\\sigma_ru_r$$\\sigma$$A$$\\sigma$\n",
"\n",
"$A\\Bigg[v_1\\ v_2\\ \\cdots\\ v_r\\ v_{r+1}\\ \\cdots\\ v_m\\Bigg]=\\Bigg[u_1\\ u_2\\ \\cdots\\ u_r\\ u_{r+1}\\ \\cdots \\ u_n\\Bigg]\\left[\\begin{array}{c c c|c}\\sigma_1&&&\\\\&\\ddots&&\\\\&&\\sigma_r&\\\\\\hline&&&\\begin{bmatrix}0\\end{bmatrix}\\end{array}\\right]$$U$$m\\times m$$\\varSigma$$m\\times n$$V^T$$n\\times n$\n",
"\n",
"$AV=U\\varSigma$$A$$\\varSigma$$U,\\ V$$U,\\ V$$Q$$A=U\\varSigma V^{-1}$$V$$A=U\\varSigma V^T$\n",
"\n",
"$A=\\begin{bmatrix}4&4\\\\-3&3\\end{bmatrix}$\n",
"\n",
"* $\\mathbb{R}^2$$v_1,v_2$\n",
"* $\\mathbb{R}^2$$u_1,u_2$\n",
"* $\\sigma_1>0, \\sigma_2>0$\n",
"\n",
"$A=U\\varSigma V^T$$U$$V$\n",
"\n",
"$A^TA$$A^TA=V\\varSigma^TU^TU\\varSigma V^T$$U$$U^TU=I$$\\varSigma^T\\varSigma$$\\sigma^2$\n",
"\n",
"$A^TA=V\\begin{bmatrix}\\sigma_1&&&\\\\&\\sigma_2&&\\\\&&\\ddots&\\\\&&&\\sigma_n\\end{bmatrix}V^T$$V$$A^TA$$\\varSigma^2$\n",
"\n",
"$U$$AA^T$$V$\n",
"\n",
"$A^TA=\\begin{bmatrix}4&-3\\\\4&3\\end{bmatrix}\\begin{bmatrix}4&4\\\\-3&3\\end{bmatrix}=\\begin{bmatrix}25&7\\\\7&25\\end{bmatrix}$$A^TA\\begin{bmatrix}1\\\\1\\end{bmatrix}=32\\begin{bmatrix}1\\\\1\\end{bmatrix},\\ A^TA\\begin{bmatrix}1\\\\-1\\end{bmatrix}=18\\begin{bmatrix}1\\\\-1\\end{bmatrix}$$\\sigma_1=32,\\ v_1=\\begin{bmatrix}\\frac{1}{\\sqrt{2}}\\\\\\frac{1}{\\sqrt{2}}\\end{bmatrix},\\ \\sigma_2=18,\\ v_2=\\begin{bmatrix}\\frac{1}{\\sqrt{2}}\\\\-\\frac{1}{\\sqrt{2}}\\end{bmatrix}$\n",
"\n",
"$\\begin{bmatrix}4&4\\\\-3&3\\end{bmatrix}=\\begin{bmatrix}u_?&u_?\\\\u_?&u_?\\end{bmatrix}\\begin{bmatrix}\\sqrt{32}&0\\\\0&\\sqrt{18}\\end{bmatrix}\\begin{bmatrix}\\frac{1}{\\sqrt{2}}&\\frac{1}{\\sqrt{2}}\\\\\\frac{1}{\\sqrt{2}}&-\\frac{1}{\\sqrt{2}}\\end{bmatrix}$$U$\n",
"\n",
"$AA^T=U\\varSigma V^TV\\varSigma^TU^T=U\\varSigma^2U^T$$AA^T$$U$$\\begin{bmatrix}4&4\\\\-3&3\\end{bmatrix}\\begin{bmatrix}4&-3\\\\4&3\\end{bmatrix}=\\begin{bmatrix}32&0\\\\0&18\\end{bmatrix}$$AA^T\\begin{bmatrix}1\\\\0\\end{bmatrix}=32\\begin{bmatrix}1\\\\0\\end{bmatrix},\\ AA^T\\begin{bmatrix}0\\\\1\\end{bmatrix}=18\\begin{bmatrix}0\\\\1\\end{bmatrix}$$AV=U\\varSigma$$V$$U$$Av_2=\\begin{bmatrix}0\\\\-\\sqrt{18}\\end{bmatrix}=u_2\\sigma_2=\\begin{bmatrix}0\\\\-1\\end{bmatrix}\\sqrt{18}$$u_1=\\begin{bmatrix}1\\\\0\\end{bmatrix},\\ u_2=\\begin{bmatrix}0\\\\-1\\end{bmatrix}$[](path_to_url\n",
"\n",
"* $AB$$BA$[Are the eigenvalues of AB equal to the eigenvalues of BA? (Citation needed!)](path_to_url\n",
"\n",
" $\\lambda\\neq 0$$v$$AB$$\\lambda$$Bv\\neq 0$$\\lambda Bv=B(\\lambda v)=B(ABv)=(BA)Bv$$Bv$$BA$$\\lambda$\n",
" \n",
" $AB$$\\lambda=0$$0=\\det{AB}=\\det{A}\\det{B}=\\det{BA}$$\\lambda=0$$BA$\n",
"\n",
"$\\begin{bmatrix}4&4\\\\-3&3\\end{bmatrix}=\\begin{bmatrix}1&0\\\\0&-1\\end{bmatrix}\\begin{bmatrix}\\sqrt{32}&0\\\\0&\\sqrt{18}\\end{bmatrix}\\begin{bmatrix}\\frac{1}{\\sqrt{2}}&\\frac{1}{\\sqrt{2}}\\\\\\frac{1}{\\sqrt{2}}&-\\frac{1}{\\sqrt{2}}\\end{bmatrix}$\n",
"\n",
"$A=\\begin{bmatrix}4&3\\\\8&6\\end{bmatrix}$$A$$\\begin{bmatrix}4\\\\3\\end{bmatrix}$$A$$\\begin{bmatrix}4\\\\8\\end{bmatrix}$\n",
"\n",
"* $v_1=\\begin{bmatrix}0.8\\\\0.6\\end{bmatrix},\\ u_1=\\frac{1}{\\sqrt{5}}\\begin{bmatrix}1\\\\2\\end{bmatrix}$\n",
"* $A^TA=\\begin{bmatrix}4&8\\\\3&6\\end{bmatrix}\\begin{bmatrix}4&3\\\\8&6\\end{bmatrix}=\\begin{bmatrix}80&60\\\\60&45\\end{bmatrix}$$A$$A^TA$$0$$125$\n",
"* $v_2=\\begin{bmatrix}0.6\\\\-0,8\\end{bmatrix},\\ u_1=\\frac{1}{\\sqrt{5}}\\begin{bmatrix}2\\\\-1\\end{bmatrix}$\n",
"\n",
"$\\begin{bmatrix}4&3\\\\8&6\\end{bmatrix}=\\begin{bmatrix}1&\\underline {2}\\\\2&\\underline{-1}\\end{bmatrix}\\begin{bmatrix}\\sqrt{125}&0\\\\0&\\underline{0}\\end{bmatrix}\\begin{bmatrix}0.8&0.6\\\\\\underline{0.6}&\\underline{-0.8}\\end{bmatrix}$\n",
"\n",
"* $v_1,\\ \\cdots,\\ v_r$\n",
"* $u_1,\\ \\cdots,\\ u_r$\n",
"* $v_{r+1},\\ \\cdots,\\ v_n$\n",
"* $u_{r+1},\\ \\cdots,\\ u_m$\n",
"\n",
"$Av_i=\\sigma_iu_i$$u,\\ v$$A$$v$$u$"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
```
|
/content/code_sandbox/chapter30.ipynb
|
jupyter notebook
| 2016-05-09T14:20:50
| 2024-08-16T14:40:36
|
notes-linear-algebra
|
zlotus/notes-linear-algebra
| 3,514
| 2,325
|
```jupyter notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# \n",
"\n",
"## \n",
"\n",
"$1$\n",
"\n",
"\n",
"\n",
"1. \n",
"2. \n",
"\n",
"\n",
"\n",
"* $A=S\\varLambda S^{-1}$\n",
"* 2$S$$1$$A=Q\\varLambda Q^{-1}$$Q=Q^T$$$A=Q\\varLambda Q^T\\tag{1}$$\n",
"\n",
"$(1)$$\\left(Q\\varLambda Q^T\\right)^T=\\left(Q^T\\right)^T\\varLambda^TQ^T=Q\\varLambda Q^T$$(1)$spectral theoremprinciple axis theorem\n",
"\n",
"* 1$\\underline{Ax=\\lambda x}$$\\bar A\\bar x=\\bar\\lambda \\bar x$$A\\bar x=\\bar\\lambda \\bar x$$\\overline{\\bar{x}^TA=\\bar{x}^T\\bar\\lambda}$$\\bar{x}^T$$\\bar{x}^TAx=\\bar{x}^T\\lambda x$$x$$\\bar{x}^TAx=\\bar{x}^T\\bar\\lambda x$$\\bar{x}^T\\lambda x=\\bar{x}^T\\bar\\lambda x$$\\lambda=\\bar{\\lambda}$$\\bar{x}^Tx\\neq 0$\n",
"\n",
" $\\bar{x}^Tx=\\begin{bmatrix}\\bar x_1&\\bar x_2&\\cdots&\\bar x_n\\end{bmatrix}\\begin{bmatrix}x_1\\\\x_2\\\\\\vdots\\\\x_n\\end{bmatrix}=\\bar x_1x_1+\\bar x_2x_2+\\cdots+\\bar x_nx_n$$x_1=a+ib, \\bar x_1=a-ib$$\\bar x_1x_1=a^2+b^2$$\\bar{x}^Tx>0$$\\bar{x}^Tx$$x$\n",
"\n",
" $A$$A=\\bar{A}^T$12\n",
"\n",
"$A=Q\\varLambda Q^T=\\Bigg[q_1\\ q_2\\ \\cdots\\ q_n\\Bigg]\\begin{bmatrix}\\lambda_1& &\\cdots& \\\\&\\lambda_2&\\cdots&\\\\\\vdots&\\vdots&\\ddots&\\vdots\\\\& &\\cdots&\\lambda_n\\end{bmatrix}\\begin{bmatrix}\\quad q_1^T\\quad\\\\\\quad q_1^T\\quad\\\\\\quad \\vdots \\quad\\\\\\quad q_1^T\\quad\\end{bmatrix}=\\lambda_1q_1q_1^T+\\lambda_2q_2q_2^T+\\cdots+\\lambda_nq_nq_n^T$$qq^T$$q$$q^Tq=1$$\\frac{qq^T}{q^Tq}=qq^T$$qq^Tqq^T=qq^T$\n",
"\n",
"****\n",
"\n",
"****\n",
"\n",
"## \n",
"\n",
"positive definite\n",
"\n",
"$\\begin{bmatrix}5&2\\\\2&3\\end{bmatrix}$$5,\\frac{11}{5}$$\\begin{vmatrix}5-\\lambda&2\\\\2&3-lambda\\end{vmatrix}=\\lambda^2-8\\lambda+11=0, \\lambda=4\\pm\\sqrt 5$\n",
"\n",
"$\\begin{vmatrix}5\\end{vmatrix}=5, \\begin{vmatrix}5&2\\\\2&3\\end{vmatrix}=11$\n",
"\n",
""
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
```
|
/content/code_sandbox/chapter26.ipynb
|
jupyter notebook
| 2016-05-09T14:20:50
| 2024-08-16T14:40:36
|
notes-linear-algebra
|
zlotus/notes-linear-algebra
| 3,514
| 1,097
|
```jupyter notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# \n",
"\n",
"$v_1,\\ v_2,\\ \\cdots,\\ v_n$$m\\times n$$A$\n",
"\n",
"$A$$0$$rank(A)=n$\n",
"\n",
"$c$$Ac=0$$rank(A)\\lt n$\n",
"\n",
"$S$basis\n",
"\n",
"1. \n",
"2. $S$\n",
"\n",
"$\\mathbb{R}^n$$n$$n$$n$dimension\n",
"\n",
"\n",
"$\n",
"A=\n",
"\\begin{bmatrix}\n",
"1 & 2 & 3 & 1 \\\\\n",
"1 & 1 & 2 & 1 \\\\\n",
"1 & 2 & 3 & 1 \\\\\n",
"\\end{bmatrix}\n",
"$\n",
"A$rank(A)=2==$\n",
"\n",
"$Ax=0$\n",
"$\n",
"x_1=\n",
"\\begin{bmatrix}\n",
"-1 \\\\\n",
"-1 \\\\\n",
"1 \\\\\n",
"0 \\\\\n",
"\\end{bmatrix}, \n",
"x_2=\n",
"\\begin{bmatrix}\n",
"-1 \\\\\n",
"0 \\\\\n",
"0 \\\\\n",
"1 \\\\\n",
"\\end{bmatrix}\n",
"$$n-rank(A)=2==$\n",
"\n",
"$dim C(A)=rank(A)$$dim N(A)=n-rank(A)$"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
```
|
/content/code_sandbox/chapter09.ipynb
|
jupyter notebook
| 2016-05-09T14:20:50
| 2024-08-16T14:40:36
|
notes-linear-algebra
|
zlotus/notes-linear-algebra
| 3,514
| 573
|
```jupyter notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# \n",
"\n",
"$x^TAx$ellipsehyperbola\n",
"\n",
"## \n",
"\n",
"$A=\\begin{bmatrix}a&b\\\\b&d\\end{bmatrix}$\n",
"\n",
"1. $\\lambda_1>0,\\ \\lambda_2>0$\n",
"2. leading principal submatrixleading principal minor$a>0,\\ ac-b^2>0$\n",
"3. $a>0,\\ \\frac{ac-b^2}{a}>0$\n",
"4. $x^TAx>0$\n",
"\n",
"4\n",
"\n",
"$A=\\begin{bmatrix}2&6\\\\6&?\\end{bmatrix}$$?$\n",
"\n",
"* $18$$A=\\begin{bmatrix}2&6\\\\6&18\\end{bmatrix}$$\\det A=0$positive semi-definite$0$$20$$2$\n",
"\n",
" $x^TAx$$\\begin{bmatrix}x_1&x_2\\end{bmatrix}\\begin{bmatrix}2&6\\\\6&18\\end{bmatrix}\\begin{bmatrix}x_1\\\\x_2\\end{bmatrix}=2x_1^2+12x_1x_2+18x_2^2$$x_1,x_2$$f(x_1,x_2)=2x_1^2+12x_1x_2+18x_2^2$quadratic$Ax$$x^T$\n",
"\n",
" $?$$18$123\n",
" \n",
"* $?=7$$A=\\begin{bmatrix}2&6\\\\6&7\\end{bmatrix}$$-22$$f(x_1,x_2)=2x_1^2+12x_1x_2+7x_2^2$$x_1=1,x_2=-1$$f(1,-1)=2-12+7<0$\n",
"\n",
" $z=2x^2+12xy+7y^2$$z(0,0)=0$$y=0$$x=0$$x=y$$x=-y$saddle$(0,0,0)$saddle point\n",
"\n",
"* $?=20$$A=\\begin{bmatrix}2&6\\\\6&20\\end{bmatrix}$$\\det A=4$$trace(A)=22$$f(x_1,x_2)=2x_1^2+12x_1x_2+20x_2^2$$(0,0)$$z=2x^2+12xy+20y^2$paraboloid$(0,0)$\n",
"\n",
" $\\frac{\\mathrm{d}u}{\\mathrm{d}x}=0, \\frac{\\mathrm{d}^2u}{\\mathrm{d}x^2}>0$$f(x_1,x_2,\\cdots,x_n)$\n",
" \n",
" $f(x,y)=2x^2+12xy+20y^2=2\\left(x+3y\\right)^2+2y^2$$?=7$$f(x,y)=2(x+3y)^2-11y^2$$?=18$$f(x,y)=2(x+3y)^2$\n",
" \n",
" $z=1$$z=1$$?=7$\n",
" \n",
" $\\begin{bmatrix}2&6\\\\6&20\\end{bmatrix}=\\begin{bmatrix}1&0\\\\-3&1\\end{bmatrix}\\begin{bmatrix}2&6\\\\0&2\\end{bmatrix}$$A=LU$$L$\n",
" \n",
" $\\begin{bmatrix}f_{xx}&f_{xy}\\\\f_{yx}&f_{yy}\\end{bmatrix}$$n\\times n$\n",
" \n",
"$A=\\begin{bmatrix}2&-1&0\\\\-1&2&-1\\\\0&-1&2\\end{bmatrix}$$x^TAx$\n",
"\n",
"* $2,3,4$$2,\\frac{3}{2},\\frac{4}{3}$$\\lambda_1=2-\\sqrt 2,\\lambda_2=2,\\lambda_3=2+\\sqrt 2$\n",
"* $x^TAx=2x_1^2+2x_2^2+2x_3^2-2x_1x_2-2x_2x_3$\n",
"* $f(x_1,x_2,x_3)=1$\n",
"\n",
"$A$$A=Q\\Lambda Q^T$principal axis theorem\n",
"\n",
"$A=Q\\Lambda Q^T$"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
```
|
/content/code_sandbox/chapter28.ipynb
|
jupyter notebook
| 2016-05-09T14:20:50
| 2024-08-16T14:40:36
|
notes-linear-algebra
|
zlotus/notes-linear-algebra
| 3,514
| 1,339
|
```jupyter notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 1\n",
"\n",
"## \n",
"\n",
"$3 \\times 3$$M$\n",
"\n",
"$M$\n",
"$\n",
"\\begin{bmatrix}\n",
"1 & 0 & 0 \\\\\n",
"0 & 0 & 0 \\\\\n",
"0 & 0 & 0 \\\\\n",
"\\end{bmatrix}\n",
"\\begin{bmatrix}\n",
"0 & 1 & 0 \\\\\n",
"0 & 0 & 0 \\\\\n",
"0 & 0 & 0 \\\\\n",
"\\end{bmatrix}\n",
"\\begin{bmatrix}\n",
"0 & 0 & 1 \\\\\n",
"0 & 0 & 0 \\\\\n",
"0 & 0 & 0 \\\\\n",
"\\end{bmatrix} \\\\\n",
"\\begin{bmatrix}\n",
"0 & 0 & 0 \\\\\n",
"1 & 0 & 0 \\\\\n",
"0 & 0 & 0 \\\\\n",
"\\end{bmatrix}\n",
"\\begin{bmatrix}\n",
"0 & 0 & 0 \\\\\n",
"0 & 1 & 0 \\\\\n",
"0 & 0 & 0 \\\\\n",
"\\end{bmatrix}\n",
"\\begin{bmatrix}\n",
"0 & 0 & 0 \\\\\n",
"0 & 0 & 1 \\\\\n",
"0 & 0 & 0 \\\\\n",
"\\end{bmatrix} \\\\\n",
"\\begin{bmatrix}\n",
"0 & 0 & 0 \\\\\n",
"0 & 0 & 0 \\\\\n",
"1 & 0 & 0 \\\\\n",
"\\end{bmatrix}\n",
"\\begin{bmatrix}\n",
"0 & 0 & 0 \\\\\n",
"0 & 0 & 0 \\\\\n",
"0 & 1 & 0 \\\\\n",
"\\end{bmatrix}\n",
"\\begin{bmatrix}\n",
"0 & 0 & 0 \\\\\n",
"0 & 0 & 0 \\\\\n",
"0 & 0 & 1 \\\\\n",
"\\end{bmatrix} \\\\\n",
"$\n",
"\n",
"$dim M=9$\n",
"\n",
"$dim S=6$$dim U=6$$dim D=3$\n",
"\n",
"intersect$S \\cup U=D, dim(S \\cup U)=9$\n",
"\n",
"sum$S \\cap U=M, dim(S \\cap U)=3$\n",
"\n",
"$dim S + dim U=12=dim(S \\cup U) + dim(S \\cap U)$\n",
"\n",
"\n",
"\n",
"$\\frac{d^2y}{dx^2}+y=0$$y''+y=0$\n",
"\n",
"$y=\\cos{x}, \\quad y=\\sin{x}, \\quad y=e^{ix}, \\quad y=e^{-ix}$$e^{ix}=\\cos{x}+i\\sin{x}, \\quad e^{-ix}=\\cos{x}-i\\sin{x}$\n",
"\n",
"$y=c_1 \\cos{x} + c_2 \\sin{x}$\n",
"\n",
"$\\cos{x}, \\sin{x}$$2$$e^{ix}, e^{-ix}$\n",
"\n",
"## \n",
"\n",
"$2 \\times 3$$A=\\begin{bmatrix}1&4&5\\\\2&8&10\\end{bmatrix}=\\begin{bmatrix}1\\\\2\\end{bmatrix}\\begin{bmatrix}1&4&5\\end{bmatrix}$\n",
"\n",
"$dimC(A)=1=dimC(A^T)$$A=UV^T$$U, V$\n",
"\n",
"$5 \\times 17$$4$$4$\n",
"\n",
"$M$$5 \\times 17$$M$$4$\n",
"\n",
"$\\mathbb{R}^4$$v=\\begin{bmatrix}v_1\\\\v_2\\\\v_3\\\\v_4\\end{bmatrix}$$\\mathbb{R}^4$$v_1+v_2+v_3+v_4=0$$S$$S$\n",
"\n",
"\n",
"\n",
"$S$\n",
"\n",
"$v_1+v_2+v_3+v_4=0$$\\begin{bmatrix}1&1&1&1\\end{bmatrix}\\begin{bmatrix}v_1\\\\v_2\\\\v_3\\\\v_4\\end{bmatrix}=0$$S$$A=\\begin{bmatrix}1&1&1&1\\end{bmatrix}$\n",
"\n",
"$rank(A)=1$$rank(N(A))=n-r=3=dim N(A)$$S$$3$\n",
"\n",
"$1 \\times 4$$A$\n",
"\n",
"$dim C(A^T)=1$$\\begin{bmatrix}1\\\\1\\\\1\\\\1\\end{bmatrix}$\n",
"\n",
"$dim N(A)=3$$\\begin{bmatrix}-1\\\\1\\\\0\\\\0\\end{bmatrix}\\begin{bmatrix}-1\\\\0\\\\1\\\\0\\end{bmatrix}\\begin{bmatrix}-1\\\\0\\\\0\\\\1\\end{bmatrix}$\n",
"\n",
"$dim C(A)=1$$\\begin{bmatrix}1\\end{bmatrix}$$\\mathbb{R}^1$\n",
"\n",
"$dim N(A^T)=0$$A$$v$$Av=0$$\\begin{bmatrix}0\\end{bmatrix}$\n",
"\n",
"$dim C(A^T)+dim N(A)=4=n, dim C(A)+dim N(A^T)=1=m$\n",
"\n",
"## \n",
"\n",
"graphnodeedge\n",
"\n",
"$6$"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
```
|
/content/code_sandbox/chapter11.ipynb
|
jupyter notebook
| 2016-05-09T14:20:50
| 2024-08-16T14:40:36
|
notes-linear-algebra
|
zlotus/notes-linear-algebra
| 3,514
| 1,652
|
```jupyter notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# \n",
"\n",
"$m \\times n$$A$$rank(A)=r$\n",
"\n",
"* $C(A^T) \\in \\mathbb{R}^n, dim C(A^T)=r$1\n",
"\n",
"* $N(A) \\in \\mathbb{R}^n, dim N(A)=n-r$\n",
"\n",
"* $C(A) \\in \\mathbb{R}^m, dim C(A)=r$\n",
"\n",
"* $N(A^T) \\in \\mathbb{R}^m, dim N(A^T)=m-r$2\n",
"\n",
"1\n",
"$\n",
"A=\n",
"\\begin{bmatrix}\n",
"1 & 2 & 3 & 1 \\\\\n",
"1 & 1 & 2 & 1 \\\\\n",
"1 & 2 & 3 & 1 \\\\\n",
"\\end{bmatrix}\n",
"\\underrightarrow{}\n",
"\\begin{bmatrix}\n",
"1 & 0 & 1 & 1 \\\\\n",
"0 & 1 & 1 & 0 \\\\\n",
"0 & 0 & 0 & 0 \\\\\n",
"\\end{bmatrix}\n",
"=R\n",
"$\n",
"\n",
"A$C(R) \\neq C(A)$$R$\n",
"\n",
"$A$$R$$R$$r$$R$\n",
"\n",
"2$A^Ty=0 \\rightarrow (A^Ty)^T=0^T\\rightarrow y^TA=0^T$\n",
"\n",
"Gauss-Jordan$\\left[\\begin{array}{c|c}A_{m \\times n} & I_{m \\times m}\\end{array}\\right]$$A$$\\left[\\begin{array}{c|c}R_{m \\times n} & E_{m \\times m}\\end{array}\\right]$$E$\n",
"\n",
"$EA=R$$A'$$m$$R'$$I$$E$$A^{-1}$\n",
"\n",
"\n",
"\n",
"$$\n",
"\\left[\\begin{array}{c|c}A_{m \\times n} & I_{m \\times m}\\end{array}\\right]=\n",
"\\left[\n",
"\\begin{array}\n",
"{c c c c|c c c}\n",
"1 & 2 & 3 & 1 & 1 & 0 & 0 \\\\\n",
"1 & 1 & 2 & 1 & 0 & 1 & 0 \\\\\n",
"1 & 2 & 3 & 1 & 0 & 0 & 1 \\\\\n",
"\\end{array}\n",
"\\right]\n",
"\\underrightarrow{}\n",
"\\left[\n",
"\\begin{array}\n",
"{c c c c|c c c}\n",
"1 & 0 & 1 & 1 & -1 & 2 & 0 \\\\\n",
"0 & 1 & 1 & 0 & 1 & -1 & 0 \\\\\n",
"0 & 0 & 0 & 0 & -1 & 0 & 1 \\\\\n",
"\\end{array}\n",
"\\right]\n",
"=\\left[\\begin{array}{c|c}R_{m \\times n} & E_{m \\times m}\\end{array}\\right]\n",
"$$\n",
"\n",
"\n",
"\n",
"$$\n",
"EA=\n",
"\\begin{bmatrix}\n",
"-1 & 2 & 0 \\\\\n",
"1 & -1 & 0 \\\\\n",
"-1 & 0 & 1 \\\\\n",
"\\end{bmatrix}\n",
"\\cdot\n",
"\\begin{bmatrix}\n",
"1 & 2 & 3 & 1 \\\\\n",
"1 & 1 & 2 & 1 \\\\\n",
"1 & 2 & 3 & 1 \\\\\n",
"\\end{bmatrix}\n",
"=\n",
"\\begin{bmatrix}\n",
"1 & 0 & 1 & 1 \\\\\n",
"0 & 1 & 1 & 0 \\\\\n",
"0 & 0 & 0 & 0 \\\\\n",
"\\end{bmatrix}\n",
"=R\n",
"$$\n",
"\n",
"\n",
"$E$$A$$R$$0$$y^TA=0^T$\n",
"\n",
"\n",
"\n",
"$3 \\times 3$$M$\n",
"\n",
"\n",
"$\n",
"\\begin{bmatrix}\n",
"1 & 0 & 0 \\\\\n",
"0 & 0 & 0 \\\\\n",
"0 & 0 & 0 \\\\\n",
"\\end{bmatrix} \\quad\n",
"\\begin{bmatrix}\n",
"1 & 0 & 0 \\\\\n",
"0 & 3 & 0 \\\\\n",
"0 & 0 & 0 \\\\\n",
"\\end{bmatrix} \\quad\n",
"\\begin{bmatrix}\n",
"0 & 0 & 0 \\\\\n",
"0 & 0 & 0 \\\\\n",
"0 & 0 & 7 \\\\\n",
"\\end{bmatrix}\n",
"$\n",
""
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
```
|
/content/code_sandbox/chapter10.ipynb
|
jupyter notebook
| 2016-05-09T14:20:50
| 2024-08-16T14:40:36
|
notes-linear-algebra
|
zlotus/notes-linear-algebra
| 3,514
| 1,511
|
```jupyter notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# \n",
"\n",
"\n",
"\n",
"$$\n",
"T(v+w)=T(v)+T(w)\\\\\n",
"T(cv)=cT(v)\n",
"$$\n",
"\n",
"$T$$T(cv+dw)=cT(v)+dT(w)$\n",
"\n",
"\n",
"\n",
"1$T: \\mathbb{R}^2\\to\\mathbb{R}^2$\n",
"\n",
"1"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
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"text/plain": [
"<matplotlib.figure.Figure at 0x1041cc2e8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"import numpy as np\n",
"\n",
"\n",
"fig = plt.figure()\n",
"\n",
"sp1 = plt.subplot(221)\n",
"vectors_1 = np.array([[0,0,3,2],]) \n",
"X_1, Y_1, U_1, V_1 = zip(*vectors_1)\n",
"plt.axhline(y=0, c='black')\n",
"plt.axvline(x=0, c='black')\n",
"sp1.quiver(X_1, Y_1, U_1, V_1, angles='xy', scale_units='xy', scale=1)\n",
"sp1.set_xlim(0, 10)\n",
"sp1.set_ylim(0, 5)\n",
"sp1.set_xlabel(\"before shifted\")\n",
"\n",
"sp2 = plt.subplot(222)\n",
"vector_2 = np.array([[0,0,3,2],\n",
" [3,2,2,0],\n",
" [0,0,5,2],\n",
" [0,0,10,4]]) \n",
"X_2,Y_2,U_2,V_2 = zip(*vector_2)\n",
"plt.axhline(y=0, c='black')\n",
"plt.axvline(x=0, c='black')\n",
"sp2.quiver(X_2, Y_2, U_2, V_2, angles='xy', scale_units='xy', scale=1)\n",
"sp2.set_xlim(0, 10)\n",
"sp2.set_ylim(0, 5)\n",
"sp2.set_xlabel(\"shifted by horizontal 2 then double\")\n",
"\n",
"sp3 = plt.subplot(223)\n",
"vectors_1 = np.array([[0,0,6,4],]) \n",
"X_1, Y_1, U_1, V_1 = zip(*vectors_1)\n",
"plt.axhline(y=0, c='black')\n",
"plt.axvline(x=0, c='black')\n",
"sp3.quiver(X_1, Y_1, U_1, V_1, angles='xy', scale_units='xy', scale=1)\n",
"sp3.set_xlim(0, 10)\n",
"sp3.set_ylim(0, 5)\n",
"sp3.set_xlabel(\"double the vector\")\n",
"\n",
"sp4 = plt.subplot(224)\n",
"vector_2 = np.array([[0,0,6,4],\n",
" [6,4,2,0],\n",
" [0,0,8,4]]) \n",
"X_2,Y_2,U_2,V_2 = zip(*vector_2)\n",
"plt.axhline(y=0, c='black')\n",
"plt.axvline(x=0, c='black')\n",
"sp4.quiver(X_2, Y_2, U_2, V_2, angles='xy', scale_units='xy', scale=1)\n",
"sp4.set_xlim(0, 10)\n",
"sp4.set_ylim(0, 5)\n",
"sp4.set_xlabel(\"doubled vector shifted by horizontal 2\")\n",
"\n",
"plt.subplots_adjust(hspace=0.33)\n",
"plt.draw()"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"plt.close(fig)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"\n",
"$T(0)\\stackrel{?}{=}0$\n",
"\n",
"\n",
"\n",
"2$T(v)=\\|v\\|,\\ T:\\mathbb{R}^3\\to\\mathbb{R}^1$$T(-v)\\neq -T(v)$\n",
"\n",
"2$45^\\circ$$T:\\mathbb{R}^2\\to\\mathbb{R}^2$\n",
"\n",
"\n",
"\n",
"3$T(v)=Av$$A(v+w)=A(v)+A(w),\\ A(cv)=cAv$$A=\\begin{bmatrix}1&0\\\\0&-1\\end{bmatrix}$$v$$v$$x$$y$$x$\n",
"\n",
"\n",
"\n",
"$T:\\mathbb{R}^3\\to\\mathbb{R}^2$$T(v)=Av$$v\\in\\mathbb{R}^3,\\ T(v)\\in\\mathbb{R}^2$$A$$2\\times 3$\n",
"\n",
"$T$$\\mathbb{R}^n$$v_1,\\ v_2,\\ \\cdots,\\ v_n$$T$$T(v_1),\\ T(v_2),\\ \\cdots,\\ T(v_n)$\n",
"\n",
"$$v=c_1v_1+c_2v_2+\\cdots+c_nv_n\\tag{1}$$\n",
"\n",
"$T(v)$$T$\n",
"\n",
"$$T(v)=c_1T(v_1)+c_2T(v_2)+\\cdots+c_nT(v_n)\\tag{2}$$\n",
"\n",
"\n",
"\n",
"$1$$c_1,c_2,\\cdots,c_n$$v$$v_1,v_2,\\cdots,v_n$$v=\\begin{bmatrix}3\\\\2\\\\4\\end{bmatrix}=3\\begin{bmatrix}1\\\\0\\\\0\\end{bmatrix}+2\\begin{bmatrix}0\\\\1\\\\0\\end{bmatrix}+4\\begin{bmatrix}0\\\\0\\\\1\\end{bmatrix}$$v$$\\begin{bmatrix}1\\\\0\\\\0\\end{bmatrix},\\begin{bmatrix}0\\\\1\\\\0\\end{bmatrix},\\begin{bmatrix}0\\\\0\\\\1\\end{bmatrix}$\n",
"\n",
"$A$$T:\\mathbb{R}^n\\to\\mathbb{R}^m$$v_1,v_2,\\cdots,v_n$$\\mathbb{R}^n$$w_1,w_2,\\cdots,w_m$$\\mathbb{R}^m$\n",
"\n",
""
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x11932f160>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure()\n",
"\n",
"vectors_1 = np.array([[0, 0, 3, 2],\n",
" [0, 0, -2, 3]]) \n",
"X_1, Y_1, U_1, V_1 = zip(*vectors_1)\n",
"plt.axis('equal')\n",
"plt.axhline(y=0, c='black')\n",
"plt.axvline(x=0, c='black')\n",
"plt.quiver(X_1, Y_1, U_1, V_1, angles='xy', scale_units='xy', scale=1)\n",
"plt.plot([-6, 12], [-4, 8])\n",
"plt.annotate('$v_1=w_1$', xy=(1.5, 1), xytext=(10, -20), textcoords='offset points', size=14, arrowprops=dict(arrowstyle=\"->\"))\n",
"plt.annotate('$v_2=w_2$', xy=(-1, 1.5), xytext=(-60, -20), textcoords='offset points', size=14, arrowprops=dict(arrowstyle=\"->\"))\n",
"plt.annotate('project line', xy=(4.5, 3), xytext=(-90, 10), textcoords='offset points', size=14, arrowprops=dict(arrowstyle=\"->\"))\n",
"\n",
"ax = plt.gca()\n",
"ax.set_xlim(-5, 5)\n",
"ax.set_ylim(-4, 4)\n",
"ax.set_xlabel(\"Project Example\")\n",
"\n",
"plt.draw()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"plt.close(fig)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$v_1,v_2$$v_1$$v_2$$w_1,w_2$$v_1=w_1,v_2=w_2$$v=c_1v_1+c_2v_2$$T(v)=c_1v_1$$(c_1,c_2)$$(c_1,0)$\n",
"\n",
"$Av=w$$\\begin{bmatrix}1&0\\\\0&0\\end{bmatrix}\\begin{bmatrix}c_1\\\\c_2\\end{bmatrix}=\\begin{bmatrix}c_1\\\\0\\end{bmatrix}$\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"$v_1=\\begin{bmatrix}1\\\\0\\end{bmatrix},v_2=\\begin{bmatrix}0\\\\1\\end{bmatrix}$$v_1=w_1,v_2=w_2$$P=\\frac{aa^T}{a^Ta}=\\begin{bmatrix}\\frac{1}{2}&\\frac{1}{2}\\\\\\frac{1}{2}&\\frac{1}{2}\\end{bmatrix}$\n",
"\n",
"$A$\n",
"\n",
"* $v_1,v_2,\\cdots,v_n$$w_1,w_2,\\cdots,w_m$\n",
"* $T(v_1)=a_{11}w_1+a_{21}w_2+\\cdots+a_{m1}w_m$$a_{i1}$$A$\n",
"* $T(v_2)=a_{12}w_1+a_{22}w_2+\\cdots+a_{m2}w_m$$a_{i2}$$A$\n",
"* $v_n$\n",
"* $A=\\left[\\begin{array}{c|c|c|c}a_{11}&a_{12}&\\cdots&a_{1n}\\\\a_{21}&a_{22}&\\cdots&a_{2n}\\\\\\vdots&\\vdots&\\ddots&\\vdots\\\\a_{m1}&a_{m2}&\\cdots&a_{mn}\\\\\\end{array}\\right]$\n",
"\n",
"$T=\\frac{\\mathrm{d}}{\\mathrm{d}x}$\n",
"\n",
"* $c_1+c_2x+c_3x^3$$1,x,x^2$\n",
"* $c_2+2c_3x$$1,x$\n",
"\n",
" $\\sin x, \\cos x, e^x$\n",
" \n",
" $A\\begin{bmatrix}c_1\\\\c_2\\\\c_3\\end{bmatrix}=\\begin{bmatrix}c_2\\\\2c_3\\end{bmatrix}$$A$$2\\times 3$$A=\\begin{bmatrix}0&1&0\\\\0&0&2\\end{bmatrix}$\n",
" \n",
""
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
```
|
/content/code_sandbox/chapter31.ipynb
|
jupyter notebook
| 2016-05-09T14:20:50
| 2024-08-16T14:40:36
|
notes-linear-algebra
|
zlotus/notes-linear-algebra
| 3,514
| 34,272
|
```jupyter notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# \n",
"\n",
"* $Q=\\Bigg[q_1\\ q_2\\ \\cdots\\ q_n\\Bigg]$$Q^TQ=I$\n",
"* Gram-Schmidt$E=b-P, P=Ax=\\frac{A^Tb}{A^TA}\\cdot A$\n",
"* 4-10\n",
"* \n",
"* \n",
"* $Ax=\\lambda x$$\\det(A-\\lambda I)=0$\n",
"* $AS=\\Lambda S$$A^k=S\\Lambda^kS^{-1}$\n",
"\n",
"\n",
"\n",
"1. *$a=\\begin{bmatrix}2\\\\1\\\\2\\end{bmatrix}$$P$*$\\Bigg($$a\\bot(b-p)\\rightarrow A^T(b-A\\hat x)=0$$\\hat x=\\left(A^TA\\right)^{-1}A^Tb$$p=A\\hat x=A\\left(A^TA\\right)^{-1}A^Tb=Pb$$P\\Bigg)$$\\underline{P=A\\left(A^TA\\right)^{-1}A^T}\\stackrel{a}=\\frac{aa^T}{a^Ta}=\\frac{1}{9}\\begin{bmatrix}4&2&4\\\\2&1&2\\\\4&2&4\\end{bmatrix}$\n",
" \n",
" *$P$*$2$$Px=0x$$\\lambda_1=\\lambda_2=0$$trace(P)=1=\\lambda_1+\\lambda_2+\\lambda_3=0+0+1$$\\lambda_3=1$\n",
" \n",
" *$\\lambda_3=1$*$Px=x$$x$$P$$P$$a$$P$$a$$a$$P$$x=a=\\begin{bmatrix}2\\\\1\\\\2\\end{bmatrix}$$Pa=a$\n",
" \n",
" *$u_{k+1}=Pu_k,\\ u_0=\\begin{bmatrix}9\\\\9\\\\0\\end{bmatrix}$$u_k$*$u_1=Pu_0$$u_0$$a$$u_1=a\\frac{a^Tu_0}{a^Ta}=3a=\\begin{bmatrix}6\\\\3\\\\6\\end{bmatrix}$$3$$\\hat x$$u_1$$a$$u_0$$u_2=Pu_1$$u_1$$a$$u_1$$u_k=P^ku_0=Pu_0=\\begin{bmatrix}6\\\\3\\\\6\\end{bmatrix}$\n",
" \n",
" $AS=S\\Lambda\\rightarrow A=S\\Lambda S^{-1} \\rightarrow u_{k+1}=Au_k=A^{k+1}u_0, u_0=Sc\\rightarrow u_{k+1}=S\\Lambda^{k+1}S^{-1}Sc=S\\Lambda^{k+1}c$$A^ku_0=c_1\\lambda_1^kx_1+c_2\\lambda_2^kx_2+\\cdots+c_n\\lambda_n^kx_n$$P$$A^ku_0=c_3x_3$\n",
" \n",
"2. *$(1,4),\\ (2,5),\\ (3,8)$*$y=Dt$$\\begin{bmatrix}1\\\\2\\\\3\\end{bmatrix}D=\\begin{bmatrix}4\\\\5\\\\8\\end{bmatrix}$$AD=b$$D$$A^TA\\hat D=A^Tb$$14D=38,\\ \\hat D=\\frac{38}{14}$$y=\\frac{38}{14}t$$b$$A$\n",
"\n",
"3. *$a_1=\\begin{bmatrix}1\\\\2\\\\3\\end{bmatrix}\\ a_2=\\begin{bmatrix}1\\\\1\\\\1\\end{bmatrix}$*$A=\\Bigg[a_1,a_2\\Bigg]$Gram-Schmidt$a_1$$a_2$$a_2$$a_1$$a_2-xa_1=a_2-\\frac{a_1^Ta_2}{a_1^Ta_1}a_1=\\begin{bmatrix}1\\\\1\\\\1\\end{bmatrix}-\\frac{6}{14}\\begin{bmatrix}1\\\\2\\\\3\\end{bmatrix}$\n",
"\n",
"4. *$4\\times 4$$A$$\\lambda_1,\\lambda_2,\\lambda_3,\\lambda_4$*$Ax=0x$\n",
"\n",
" *$\\det A^{-1}$*$\\det A^{-1}=\\frac{1}{\\det A}$$\\det A=\\lambda_1\\lambda_2\\lambda_3\\lambda_4$$\\det A^{-1}=\\frac{1}{\\lambda_1\\lambda_2\\lambda_3\\lambda_4}$\n",
" \n",
" *$trace(A+I)$*$trace(A)=a_{11}+a_{22}+a_{33}+a_{44}=\\lambda_1+\\lambda_2+\\lambda_3+\\lambda_4$$trace(A+I)=a_{11}+1+a_{22}+1+a_{33}+1+a_{44}+1=\\lambda_1+\\lambda_2+\\lambda_3+\\lambda_4+4$\n",
" \n",
"5. *$A_4=\\begin{bmatrix}1&1&0&0\\\\1&1&1&0\\\\0&1&1&1\\\\0&0&1&1\\end{bmatrix}$$D_n=?D_{n-1}+?D_{n-2}$*$\\det A_4=1\\cdot\\begin{vmatrix}1&1&0\\\\1&1&1\\\\0&1&1\\end{vmatrix}-1\\cdot\\begin{vmatrix}1&1&0\\\\0&1&1\\\\0&1&1\\end{vmatrix}=1\\cdot\\begin{vmatrix}1&1&0\\\\1&1&1\\\\0&1&1\\end{vmatrix}-1\\cdot\\begin{vmatrix}1&1\\\\1&1\\end{vmatrix}=\\det A_3-\\det A_2$$D_n=D_{n-1}-D_{n-2}, D_1=1, D_2=0$\n",
"\n",
" $\\begin{cases}D_n&=D_{n-1}-D_{n-2}\\\\D_{n-1}&=D_{n-1}\\end{cases}$$\\begin{bmatrix}D_n\\\\D_{n-1}\\end{bmatrix}=\\begin{bmatrix}1&-1\\\\1&0\\end{bmatrix}\\begin{bmatrix}D_{n-1}\\\\D_{n-2}\\end{bmatrix}$$A_c$$\\begin{vmatrix}1-\\lambda&1\\\\1&-\\lambda\\end{vmatrix}=\\lambda^2-\\lambda+1=0$$\\lambda_1=\\frac{1+\\sqrt{3}i}{2},\\lambda_2=\\frac{1-\\sqrt{3}i}{2}$\n",
" \n",
" $\\frac{1}{4}+\\frac{3}{4}=1$$e^{i\\theta}$$\\cos\\theta+i\\sin\\theta$$\\theta=60^\\circ$$\\lambda_1=e^{i\\pi/3},\\lambda_2=e^{-i\\pi/3}$$e^{2\\pi i}=e^{2\\pi i}=1$$\\lambda_1^6=\\lambda^6=1$$A_c^6=I$$A_c$ \n",
"\n",
"6. *$A_4=\\begin{bmatrix}0&1&0&0\\\\1&0&2&0\\\\0&2&0&3\\\\0&0&3&0\\end{bmatrix}$$A_3$*$A_3=\\begin{bmatrix}0&1&0\\\\1&0&2\\\\0&2&0\\end{bmatrix}$$P=A\\left(A^TA\\right)A^T$$\\mathbb{R}^4$$A_4$$I$$\\det A_4=-1\\cdot-1\\cdot-3\\cdot-3=9$$P=I$\n",
"\n",
" *$A_3$*$\\left|A_3-\\lambda I\\right|=\\begin{vmatrix}-\\lambda&1&0\\\\1&-\\lambda&2\\\\0&2&-\\lambda\\end{vmatrix}=-\\lambda^3+5\\lambda=0$$\\lambda_1=0,\\lambda_2=\\sqrt 5,\\lambda_3=-\\sqrt 5$\n",
" \n",
" "
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
```
|
/content/code_sandbox/chapter25.ipynb
|
jupyter notebook
| 2016-05-09T14:20:50
| 2024-08-16T14:40:36
|
notes-linear-algebra
|
zlotus/notes-linear-algebra
| 3,514
| 2,291
|
```jupyter notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# $A$\n",
"\n",
"## \n",
"\n",
"$Ax=\\lambda x$$\\det(A-\\lambda I)=0$$\\lambda$$x$\n",
"\n",
"\n",
"\n",
"$A$$x_1, x_2, \\cdots, x_n$$S=\\Bigg[x_1x_2\\cdots x_n\\Bigg]$ $$S^{-1}AS=\\Lambda\\tag{1}$$$A$$S^{-1}$$S$$n$\n",
"\n",
"$A$$n$$S$$AS=A\\Bigg[x_1x_2\\cdots x_n\\Bigg]$$Ax_1$$\\lambda_1x_1$$AS=\\Bigg[(\\lambda_1x_1)(\\lambda_2x_2)\\cdots(\\lambda_nx_n)\\Bigg]$$\\Bigg[x_1x_2\\cdots x_n\\Bigg]\\begin{bmatrix}\\lambda_1&0&\\cdots&0\\\\0&\\lambda_2&\\cdots&0\\\\\\vdots&\\vdots&\\ddots&\\vdots\\\\0&0&\\cdots&\\lambda_n\\end{bmatrix}=S\\Lambda$\n",
"\n",
"$AS$$S\\Lambda$$S^{-1}$$(1)$$S$$A$$n$$A=S\\Lambda S^{-1}$\n",
"\n",
"$A^2$\n",
"\n",
"* $Ax=\\lambda x$$A$$A^2x=\\lambda Ax=\\lambda^2x$$A^2$\n",
"* $A=S\\Lambda S^{-1}$$A^2=S\\Lambda S^{-1}S\\Lambda S^{-1}=S\\Lambda^2S^{-1}$\n",
"\n",
"$A^2$$\\Lambda^2=\\begin{bmatrix}\\lambda_1^2&0&\\cdots&0\\\\0&\\lambda_2^2&\\cdots&0\\\\\\vdots&\\vdots&\\ddots&\\vdots\\\\0&0&\\cdots&\\lambda_n^2\\end{bmatrix}$\n",
"\n",
"$A^k=S\\Lambda^kS^{-1}$\n",
"\n",
"$k\\to\\infty$$A^k\\to 0$$S\\Lambda^kS^{-1}$$|\\lambda_i|<1$$A$$n$$n$\n",
"\n",
"\n",
"\n",
"* $n$$n$\n",
"* $n$$10$$I_{10}$$10$$1$$10$$I_{10}$\n",
" \n",
" $A=\\begin{bmatrix}2&1\\\\0&2\\end{bmatrix}$$\\det(A-\\lambda I)=\\begin{vmatrix}2-\\lambda&1\\\\0&2-\\lambda\\end{vmatrix}=(2-\\lambda)^2=0$$\\lambda_1=\\lambda_2=2$$Ax=\\lambda x$$\\begin{bmatrix}0&1\\\\0&0\\end{bmatrix}$$x_1=x_2=\\begin{bmatrix}1\\\\0\\end{bmatrix}$algebraic multiplicity$(2-\\lambda)^2$$2$\n",
" \n",
"\n",
"\n",
"## $u_{k+1}=Au_k$\n",
"\n",
"$u_1=Au_0$$u_2=A^2u_0$$u_k=A^ku_0$differential equationdifference equationfirst order system\n",
"\n",
"$u_0$$A$$u_0=c_1x_1+c_2x_2+\\cdots+c_nx_n=\\Bigg[x_1x_2\\cdots x_n\\Bigg]\\begin{bmatrix}c_1\\\\c_2\\\\\\vdots\\\\c_n\\end{bmatrix}=Sc$$Au_0=c_1Ax_1+c_2Ax_2+\\cdots+c_nAx_n=c_1\\lambda_1x_1+c_2\\lambda_2x_2+\\cdots+c_n\\lambda_nx_n$$Au_0=\\Bigg[x_1x_2\\cdots x_n\\Bigg]\\begin{bmatrix}\\lambda_1&0&\\cdots&0\\\\0&\\lambda_2&\\cdots&0\\\\\\vdots&\\vdots&\\ddots&\\vdots\\\\0&0&\\cdots&\\lambda_n\\end{bmatrix}\\begin{bmatrix}c_1\\\\c_2\\\\\\vdots\\\\c_n\\end{bmatrix}=S\\Lambda c$$Au_0=S\\Lambda S^{-1}u_0=S\\Lambda S^{-1}Sc=S\\Lambda c$\n",
"\n",
"$A^{100}u_0$$\\lambda$$\\lambda^{100}$$c$$x$\n",
"\n",
"$A^{100}u_0$$S\\Lambda^{100}c=c_1\\lambda_1^{100}x_1+c_2\\lambda_2^{100}x_2+\\cdots+c_n\\lambda_n^{100}x_n$\n",
"\n",
"Fibonacci sequence\n",
"\n",
"$0,1,1,2,3,5,8,13,\\cdots,F_{100}=?$\n",
"\n",
"$F_{k+2}=F_{k_1}+F_{k}$$u_{k+1}=Au_{k}$\n",
"\n",
"****$u_{k}=\\begin{bmatrix}F_{k+1}\\\\F_{k}\\end{bmatrix}$$\\begin{cases}F_{k+2}&=F_{k+1}+F_{k}\\\\F_{k+1}&=F_{k+1}\\end{cases}$$\\begin{bmatrix}F_{k+2}\\\\F_{k+1}\\end{bmatrix}=\\begin{bmatrix}1&1\\\\1&0\\end{bmatrix}\\begin{bmatrix}F_{k+1}\\\\F_{k}\\end{bmatrix}$$u_{k+1}=Au_{k}, A=\\begin{bmatrix}1&1\\\\1&0\\end{bmatrix}$second-order scalar problemfirst-order system\n",
"\n",
"$A=\\begin{bmatrix}1&1\\\\1&0\\end{bmatrix}$$\\begin{cases}\\lambda_1+\\lambda_2&=1\\\\\\lambda_1\\cdot\\lambda_2&=-1\\end{cases}$$\\left|A-\\lambda I\\right|=\\begin{vmatrix}1-\\lambda&1\\\\1&-\\lambda\\end{vmatrix}=\\lambda^2-\\lambda-1=0$$F_{k+2}=F_{k+1}+F_{k}\\rightarrow F_{k+2}-F_{k+1}-F_{k}=0$\n",
"\n",
"* $\\begin{cases}\\lambda_1=\\frac{1}{2}\\left(1+\\sqrt{5}\\right)\\approx{1.618}\\\\\\lambda_2=\\frac{1}{2}\\left(1-\\sqrt{5}\\right)\\approx{-0.618}\\end{cases}$\n",
"\n",
"\n",
"\n",
"$F_{100}=c_1\\left(\\frac{1+\\sqrt{5}}{2}\\right)^{100}+c_2\\left(\\frac{1-\\sqrt{5}}{2}\\right)^{100}\\approx c_1\\left(\\frac{1+\\sqrt{5}}{2}\\right)^{100}$$-0.618$$0$$1.618$$Ax=b$$A$\n",
"\n",
"* $A-\\lambda I=\\begin{bmatrix}1-\\lambda&1\\\\1&1-\\lambda\\end{bmatrix}$$\\begin{bmatrix}1-\\lambda&1\\\\1&1-\\lambda\\end{bmatrix}\\begin{bmatrix}?\\\\?\\end{bmatrix}=0$$\\lambda^2-\\lambda-1=0$$\\begin{bmatrix}\\lambda\\\\1\\end{bmatrix}$$x_1=\\begin{bmatrix}\\lambda_1\\\\1\\end{bmatrix}, x_2=\\begin{bmatrix}\\lambda_2\\\\1\\end{bmatrix}$\n",
"\n",
"$u_0=\\begin{bmatrix}F_1\\\\F_0\\end{bmatrix}=\\begin{bmatrix}1\\\\0\\end{bmatrix}$$\\begin{bmatrix}1\\\\0\\end{bmatrix}=c_1x_1+c_2x_2$$c_1=\\frac{\\sqrt{5}}{5}, c_2=-\\frac{\\sqrt{5}}{5}$\n",
"\n",
"$u_0$$A$$u_0$\n",
"\n",
"* $A$$k$$A^k=S\\Lambda^kS^{-1}$$u_{99}=Au_{98}=\\cdots=A^{99}u_{0}=S\\Lambda^{99}S^{-1}Sc=S\\Lambda^{99}c$$u_{99}=\\begin{bmatrix}F_{100}\\\\F_{99}\\end{bmatrix}=\\begin{bmatrix}\\frac{1+\\sqrt{5}}{2}&\\frac{1-\\sqrt{5}}{2}\\\\1&1\\end{bmatrix}\\begin{bmatrix}\\left(\\frac{1+\\sqrt{5}}{2}\\right)^{99}&0\\\\0&\\left(\\frac{1-\\sqrt{5}}{2}\\right)^{99}\\end{bmatrix}\\begin{bmatrix}\\frac{\\sqrt{5}}{5}\\\\-\\frac{\\sqrt{5}}{5}\\end{bmatrix}=\\begin{bmatrix}c_1\\lambda_1^{100}+c_2\\lambda_2^{100}\\\\c_1\\lambda_1^{99}+c_2\\lambda_2^{99}\\end{bmatrix}$$F_{100}=c_1\\lambda_1^{100}+c_2\\lambda_2^{100}$\n",
"\n",
"* $u_k=c_1\\lambda^kx_1+c_2\\lambda^kx_2$\n",
"\n",
""
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
```
|
/content/code_sandbox/chapter22.ipynb
|
jupyter notebook
| 2016-05-09T14:20:50
| 2024-08-16T14:40:36
|
notes-linear-algebra
|
zlotus/notes-linear-algebra
| 3,514
| 2,608
|
```jupyter notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# $A$ $LU$ \n",
"\n",
"$AB$\n",
"$$\n",
"\\begin{aligned}\n",
"A \\cdot A^{-1} = I & = A^{-1} \\cdot A\\\\\n",
"(AB) \\cdot (B^{-1}A^{-1}) & = I\\\\\n",
"\\textrm{} AB \\textrm{} & B^{-1}A^{-1}\n",
"\\end{aligned}\n",
"$$\n",
"\n",
"$A^{T}$\n",
"$$\n",
"\\begin{aligned}\n",
"(A \\cdot A^{-1})^{T} & = I^{T}\\\\\n",
"(A^{-1})^{T} \\cdot A^{T} & = I\\\\\n",
"\\textrm{} A^{T} \\textrm{} & (A^{-1})^{T}\n",
"\\end{aligned}\n",
"$$\n",
"\n",
"## $n$ $A$ $LU$ \n",
"\n",
"1. $a_{11}$$n^2$\n",
"$$\n",
"\\begin{bmatrix}\n",
"a_{11} & a_{12} & \\cdots & a_{1n} \\\\\n",
"a_{21} & a_{22} & \\cdots & a_{2n} \\\\\n",
"\\vdots & \\vdots & \\ddots & \\vdots \\\\\n",
"a_{n1} & a_{n2} & \\cdots & a_{nn} \\\\\n",
"\\end{bmatrix}\n",
"\\underrightarrow{}\n",
"\\begin{bmatrix}\n",
"a_{11} & a_{12} & \\cdots & a_{1n} \\\\\n",
"0 & a_{22} & \\cdots & a_{2n} \\\\\n",
"0 & \\vdots & \\ddots & \\vdots \\\\\n",
"0 & a_{n2} & \\cdots & a_{nn} \\\\\n",
"\\end{bmatrix}\n",
"$$\n",
"\n",
"2. $(n-1)^2(n-2)^2\\cdots2^21^2$\n",
"\n",
"3. $A$ $LU$ $O(n^2+(n-1)^2+\\cdots+2^2+1^2)$$O(\\frac{n^3}{3})$\n",
"\n",
"(Permutation Matrix)\n",
"\n",
"36\n",
"$$\n",
"\\begin{bmatrix}\n",
"1 & 0 & 0 \\\\\n",
"0 & 1 & 0 \\\\\n",
"0 & 0 & 1 \\\\\n",
"\\end{bmatrix}\n",
"\\begin{bmatrix}\n",
"0 & 1 & 0 \\\\\n",
"1 & 0 & 0 \\\\\n",
"0 & 0 & 1 \\\\\n",
"\\end{bmatrix}\n",
"\\begin{bmatrix}\n",
"0 & 0 & 1 \\\\\n",
"0 & 1 & 0 \\\\\n",
"1 & 0 & 0 \\\\\n",
"\\end{bmatrix}\n",
"\\begin{bmatrix}\n",
"1 & 0 & 0 \\\\\n",
"0 & 0 & 1 \\\\\n",
"0 & 1 & 0 \\\\\n",
"\\end{bmatrix}\n",
"\\begin{bmatrix}\n",
"0 & 1 & 0 \\\\\n",
"0 & 0 & 1 \\\\\n",
"1 & 0 & 0 \\\\\n",
"\\end{bmatrix}\n",
"\\begin{bmatrix}\n",
"0 & 0 & 1 \\\\\n",
"1 & 0 & 0 \\\\\n",
"0 & 1 & 0 \\\\\n",
"\\end{bmatrix}\n",
"$$\n",
"\n",
"$n$$\\binom{n}{1}=n!$"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python [default]",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
```
|
/content/code_sandbox/chapter04.ipynb
|
jupyter notebook
| 2016-05-09T14:20:50
| 2024-08-16T14:40:36
|
notes-linear-algebra
|
zlotus/notes-linear-algebra
| 3,514
| 1,163
|
```jupyter notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Gram-Schmidt\n",
"\n",
"## \n",
"\n",
"orthonormal$q_i^Tq_j=\\begin{cases}0\\quad i\\neq j\\\\1\\quad i=j\\end{cases}$\n",
"\n",
"$Q=\\Bigg[q_1 q_2 \\cdots q_n\\Bigg]$\n",
"\n",
"$A^A$$Q^TQ=\\begin{bmatrix} & q_1^T & \\\\ & q_2^T & \\\\ & \\vdots & \\\\ & q_n^T & \\end{bmatrix}\\Bigg[q_1 q_2 \\cdots q_n\\Bigg]$\n",
"\n",
"$Q^TQ=\\begin{bmatrix}1&0&\\cdots&0\\\\0&1&\\cdots&0\\\\\\vdots&\\vdots&\\ddots&\\vdots\\\\0&0&\\cdots&1\\end{bmatrix}=I$$Q$orthonormal matrix\n",
"\n",
"$Q$$Q$$Q^TQ=I$$Q^T=Q^{-1}$\n",
"\n",
"* $Q=\\begin{bmatrix}0&1&0\\\\1&0&0\\\\0&0&1\\end{bmatrix}$$Q^T=\\begin{bmatrix}0&1&0\\\\0&0&1\\\\1&0&0\\end{bmatrix}$$Q^TQ=I$\n",
"* $Q=\\begin{bmatrix}\\cos\\theta&-\\sin\\theta\\\\\\sin\\theta&\\cos\\theta\\end{bmatrix}$$1$\n",
"* $Q=\\frac{1}{\\sqrt 2}\\begin{bmatrix}1&1\\\\1&-1\\end{bmatrix}$$1$\n",
"* $Q'=c\\begin{bmatrix}Q&Q\\\\Q&-Q\\end{bmatrix}$$c$$1$$Q=\\frac{1}{2}\\begin{bmatrix}1&1&1&1\\\\1&-1&1&-1\\\\1&1&-1&-1\\\\1&-1&-1&1\\end{bmatrix}$Adhemar$2, 4, 16, 64, \\cdots$\n",
"* $Q=\\frac{1}{3}\\begin{bmatrix}1&-2&2\\\\2&-1&-2\\\\2&2&1\\end{bmatrix}$$1$-\n",
"\n",
"$b$$Q$$P=Q(Q^TQ)^{-1}Q^T$$P=QQ^T$$QQ^T$$QQ^T=I$$(QQ^T)^T=(Q^T)^TQ^T=QQ^T$$(QQ^T)^2=QQ^TQQ^T=Q(Q^TQ)Q^T=QQ^T$\n",
"\n",
"$A^TA\\hat x=A^Tb$$Q^TQ\\hat x=Q^Tb$$\\hat x=Q^Tb$ $\\underline{\\hat x_i=q_i^Tb}$$i$$i$$b$$i$$q_i^Tb$\n",
"\n",
"## Gram-Schmidt\n",
"\n",
"$a, b$$A, B$$q_1=\\frac{A}{\\left\\|A\\right\\|}, q_2=\\frac{B}{\\left\\|B\\right\\|}$\n",
"\n",
"* $a$$a=A$\n",
"* $b$$A$$B$$e=b-p$$B=b-\\frac{A^Tb}{A^TA}A$$A\\bot B$$A^TB=A^Tb-A^T\\frac{A^Tb}{A^TA}A=A^Tb-\\frac{A^TA}{A^TA}A^Tb=0$$\\frac{A^Tb}{A^TA}A$$A\\hat x=p$\n",
"\n",
"$a, b, c$$A, B, C$$q_1=\\frac{A}{\\left\\|A\\right\\|}, q_2=\\frac{B}{\\left\\|B\\right\\|}, q_3=\\frac{C}{\\left\\|C\\right\\|}$\n",
"\n",
"* $A, B$\n",
"* $c$$A, B$$A, B$$C$$C=c-\\frac{A^Tc}{A^TA}A-\\frac{B^Tc}{B^TB}B$\n",
"\n",
"$a=\\begin{bmatrix}1\\\\1\\\\1\\end{bmatrix}, b=\\begin{bmatrix}1\\\\0\\\\2\\end{bmatrix}$\n",
"\n",
"* $A=a=\\begin{bmatrix}1\\\\1\\\\1\\end{bmatrix}$\n",
"* $B=a-hA$$h$$\\frac{A^Tb}{A^TA}=\\frac{3}{3}$$B=\\begin{bmatrix}1\\\\1\\\\1\\end{bmatrix}-\\frac{3}{3}\\begin{bmatrix}1\\\\0\\\\2\\end{bmatrix}=\\begin{bmatrix}0\\\\-1\\\\1\\end{bmatrix}$$A\\cdot B=0$\n",
"* $q_1=\\frac{1}{\\sqrt 3}\\begin{bmatrix}1\\\\1\\\\1\\end{bmatrix},\\quad q_2=\\frac{1}{\\sqrt 2}\\begin{bmatrix}1\\\\0\\\\2\\end{bmatrix}$$Q=\\begin{bmatrix}\\frac{1}{\\sqrt 3}&0\\\\\\frac{1}{\\sqrt 3}&-\\frac{1}{\\sqrt 2}\\\\\\frac{1}{\\sqrt 3}&\\frac{1}{\\sqrt 2}\\end{bmatrix}$$D=\\begin{bmatrix}1&1\\\\1&0\\\\1&2\\end{bmatrix}$$D, Q$\n",
"\n",
"$A=LU$$A=QR$$A$$\\Bigg[a_1 a_2\\Bigg]$$\\Bigg[a_1 a_2\\Bigg]=\\Bigg[q_1 q_2\\Bigg]\\begin{bmatrix}a_1^Tq_1&a_2^Tq_1\\\\a_1^Tq_2&a_2^Tq_2\\end{bmatrix}$$a_1^Tq_2$$0$Gram-Schmidt$a_1\\bot q_2$$R$"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
```
|
/content/code_sandbox/chapter17.ipynb
|
jupyter notebook
| 2016-05-09T14:20:50
| 2024-08-16T14:40:36
|
notes-linear-algebra
|
zlotus/notes-linear-algebra
| 3,514
| 1,726
|
```jupyter notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# R\n",
"\n",
"## Permutation Matrix\n",
"\n",
"$P$$A$\n",
"\n",
"$PA=LU$\n",
"\n",
"$n$$P$$\\binom{n}{1}=n!$\n",
"\n",
"$P$$P^TP = I$\n",
"\n",
"$P^T = P^{-1}\n",
"## Transpose Matrix\n",
"\n",
"$(A^T)_{ij} = (A)_{ji}$\n",
"\n",
"## Symmetric Matrix\n",
"\n",
"$A^T$ = $A$\n",
"\n",
"$R$$R^TR$\n",
"\n",
"$$\n",
"(R^TR)^T = (R)^T(R^T)^T = R^TR\\\\\n",
"\\textrm{}(R^TR)^T = R^TR\n",
"$$\n",
"\n",
"## Vector Space\n",
"\n",
"Origin\n",
"\n",
"\n",
""
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python [default]",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
```
|
/content/code_sandbox/chapter05.ipynb
|
jupyter notebook
| 2016-05-09T14:20:50
| 2024-08-16T14:40:36
|
notes-linear-algebra
|
zlotus/notes-linear-algebra
| 3,514
| 432
|
```jupyter notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# \n",
"\n",
"$S$$T$$S \\cap T$\n",
"\n",
"$m \\times n$$A$$n \\times 1$$x$$m \\times 1$$b$$Ax=b$\n",
"\n",
"$$\n",
"\\begin{bmatrix}\n",
"a_{11} & a_{12} & \\cdots & a_{1(n-1)} & a_{1n} \\\\\n",
"a_{21} & a_{22} & \\cdots & a_{2(n-1)} & a_{2n} \\\\\n",
"\\vdots & \\vdots & \\ddots & \\vdots & \\vdots \\\\\n",
"a_{m1} & a_{m2} & \\cdots & a_{m(n-1)} & a_{mn} \\\\\n",
"\\end{bmatrix}\n",
"\\cdot\n",
"\\begin{bmatrix}\n",
"x_{1} \\\\\n",
"x_{2} \\\\\n",
"\\vdots \\\\\n",
"x_{n-1} \\\\\n",
"x_{n} \\\\\n",
"\\end{bmatrix}\n",
"=\n",
"\\begin{bmatrix}\n",
"b_{1} \\\\\n",
"b_{2} \\\\\n",
"\\vdots \\\\\n",
"b_{m} \\\\\n",
"\\end{bmatrix}\n",
"$$\n",
"\n",
"$A$$A$\n",
"\n",
"$Ax=b$$b$$A$\n",
"\n",
"A$Ax=0$$x$"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
```
|
/content/code_sandbox/chapter06.ipynb
|
jupyter notebook
| 2016-05-09T14:20:50
| 2024-08-16T14:40:36
|
notes-linear-algebra
|
zlotus/notes-linear-algebra
| 3,514
| 565
|
```jupyter notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# \n",
"\n",
"\n",
"\n",
"1. *$m\\times n$$A$$Ax=\\begin{bmatrix}1\\\\0\\\\0\\end{bmatrix}$$Ax=\\begin{bmatrix}0\\\\1\\\\0\\end{bmatrix}$$m,n,rank(A)$*\n",
"\n",
" $m=3$$r<m$$r=n$\n",
" \n",
" $m=3>n=r$\n",
" \n",
" *$A$*$A=\\begin{bmatrix}0&0\\\\1&0\\\\0&1\\end{bmatrix}$\n",
" \n",
" *$\\det A^TA\\stackrel{?}{=}\\det AA^T$*$A^TA$$AA^T$$\\det AB=\\det BA$\n",
" \n",
" *$A^TA$*$r=n$\n",
" \n",
" *$AA^T$*$AA^T$$3\\times n$$n\\times 3$$AA^T$$2$$AA^T$\n",
" \n",
" *$A^Ty=c$*$A$$A^T$$m-r$$\\dim N\\left(A^T\\right)=m-r$\n",
"\n",
"2. *$A=\\Bigg[v_1\\ v_2\\ v_3\\Bigg]$$Ax=v_1-v_2+v_3$$x$*\n",
" \n",
" $x=\\begin{bmatrix}1\\\\-1\\\\1\\end{bmatrix}$\n",
" \n",
" *Ax=v_1-v_2+v_3=0*$x=\\begin{bmatrix}1\\\\-1\\\\1\\end{bmatrix}$\n",
" \n",
" *$v_1,v_2,v_3$$c_1v_1+c_2v_2$$v_3$*$0$$v_3$\n",
" \n",
"3. *$A=\\begin{bmatrix}.2&.4&.3\\\\.4&.2&.3\\\\.4&.4&.4\\end{bmatrix}$*\n",
"\n",
" $0$$1$$-.2$\n",
" \n",
" $u(0)$$u_k=A^ku_0, u_0=\\begin{bmatrix}0\\\\10\\\\0\\end{bmatrix}$$\\lambda_1=0,\\ \\lambda_2=1,\\ \\lambda_3=-.2$$u_k=c_1\\lambda_1^kx_1+c_2\\lambda_2^kx_2+c_3\\lambda_3^kx_3$$k\\to\\infty$$u_\\infty=c_2x_2$\n",
" \n",
" $\\lambda_2$$(A-I)x=0$$\\begin{bmatrix}-.8&.4&.3\\\\.4&-.8&.3\\\\.4&.4&-.6\\end{bmatrix}\\begin{bmatrix}?\\\\?\\\\?\\end{bmatrix}=\\begin{bmatrix}0\\\\0\\\\0\\end{bmatrix}$$x_2=\\begin{bmatrix}3\\\\3\\\\4\\end{bmatrix}$\n",
" \n",
" $c_2$$u_0$$u_k$$x_2=\\begin{bmatrix}3\\\\3\\\\4\\end{bmatrix}$$c_2=1$$u_\\infty=\\begin{bmatrix}3\\\\3\\\\4\\end{bmatrix}$\n",
"\n",
"4. **\n",
" \n",
" *$a=\\begin{bmatrix}4\\\\-3\\end{bmatrix}$*$P=\\frac{aa^T}{a^Ta}$\n",
" \n",
" *$\\lambda_1=2,\\ x_1=\\begin{bmatrix}1\\\\2\\end{bmatrix}\\quad \\lambda_2=3,\\ x_2=\\begin{bmatrix}2\\\\1\\end{bmatrix}$$A$*$A=S\\Lambda S^{-1}=\\begin{bmatrix}1&2\\\\2&1\\end{bmatrix}\\begin{bmatrix}0&0\\\\0&3\\end{bmatrix}\\begin{bmatrix}1&2\\\\2&1\\end{bmatrix}^{-1}$\n",
" \n",
" *$A$$B$$A$$A=B^TB$$A$*$B^TB$\n",
" *$A$$A$*$AA^T=A^TA$$A=\\begin{bmatrix}0&1\\\\-1&0\\end{bmatrix}$$\\begin{bmatrix}\\cos\\theta&-\\sin\\theta\\\\\\sin\\theta&\\cos\\theta\\end{bmatrix}$\n",
" \n",
"5. *$\\begin{bmatrix}1&0\\\\1&1\\\\1&2\\end{bmatrix}\\begin{bmatrix}C\\\\D\\end{bmatrix}=\\begin{bmatrix}3\\\\4\\\\1\\end{bmatrix}(Ax=b)$$\\begin{bmatrix}\\hat C\\\\\\hat D\\end{bmatrix}=\\begin{bmatrix}\\frac{11}{3}\\\\-1\\end{bmatrix}$*\n",
"\n",
" *$p$*$p$$b$$A$$p=\\begin{bmatrix}p_1\\\\p_2\\\\p_3\\end{bmatrix}=\\begin{bmatrix}1&0\\\\1&1\\\\1&2\\end{bmatrix}\\begin{bmatrix}\\hat C\\\\\\hat D\\end{bmatrix}$\n",
" \n",
" **$x=0,1,2$$y=p_1,p_2,p_2$$y=\\hat C+\\hat Dx$$y=\\frac{11}{3}-x$"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
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"text/plain": [
"<matplotlib.figure.Figure at 0x104190320>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"from sklearn import linear_model\n",
"import numpy as np\n",
"import pandas as pd\n",
"import seaborn as sns\n",
"\n",
"x = np.array([0, 1, 2]).reshape((-1,1))\n",
"y = np.array([3, 4, 1]).reshape((-1,1))\n",
"predict_line = np.array([-1, 4]).reshape((-1,1))\n",
"\n",
"regr = linear_model.LinearRegression()\n",
"regr.fit(x, y)\n",
"ey = regr.predict(x)\n",
"\n",
"fig = plt.figure()\n",
"plt.axis('equal')\n",
"plt.axhline(y=0, c='black')\n",
"plt.axvline(x=0, c='black')\n",
"\n",
"plt.scatter(x, y, c='r')\n",
"plt.scatter(x, regr.predict(x), s=20, c='b')\n",
"plt.plot(predict_line, regr.predict(predict_line), c='g', lw='1')\n",
"[ plt.plot([x[i], x[i]], [y[i], ey[i]], 'r', lw='1') for i in range(len(x))]\n",
"\n",
"plt.draw()"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"plt.close(fig)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"* \n",
"\n",
" *$b$$\\begin{bmatrix}\\hat C\\\\\\hat D\\end{bmatrix}=\\begin{bmatrix}0\\\\0\\end{bmatrix}$*$\\begin{bmatrix}\\hat C\\\\\\hat D\\end{bmatrix}$$A$$b$$b$$A$$0$$0$$b$$A$$b=\\begin{bmatrix}1\\\\-2\\\\1\\end{bmatrix}$$A$\n",
"\n",
"# MIT"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
```
|
/content/code_sandbox/chapter35.ipynb
|
jupyter notebook
| 2016-05-09T14:20:50
| 2024-08-16T14:40:36
|
notes-linear-algebra
|
zlotus/notes-linear-algebra
| 3,514
| 6,810
|
```jupyter notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# \n",
"\n",
"1. $u, v, w$$\\mathbb{R}^7$$u, v, w$$1, 2, 3$\n",
"\n",
"2. $5 \\times 3$$U$echelon form$3$$3$$\\begin{bmatrix}0\\\\0\\\\0\\\\ \\end{bmatrix}$\n",
"\n",
"3. $10 \\times 3$$B=\\begin{bmatrix}U\\\\2U \\end{bmatrix}$$\\begin{bmatrix}U\\\\0 \\end{bmatrix}$$rank(B)=3$\n",
"\n",
"4. $C=\\begin{bmatrix}U & U \\\\ U & 0 \\end{bmatrix}$$\\begin{bmatrix}U & 0 \\\\ 0 & U \\end{bmatrix}$$rank(C)=6$$C$$10 \\times 6$$dim N(C^T)=m-r=4$\n",
"\n",
"5. $Ax=\\begin{bmatrix}2\\\\4\\\\2\\\\ \\end{bmatrix}$$x=\\begin{bmatrix}2\\\\0\\\\0\\\\ \\end{bmatrix}+c\\begin{bmatrix}1\\\\1\\\\0\\\\ \\end{bmatrix}+d\\begin{bmatrix}0\\\\0\\\\1 \\end{bmatrix}$$b$$A$$A$$A$$3 \\times 3$$rank(A)=1, dim N(A)=2$$A$$\\begin{bmatrix}1\\\\2\\\\1 \\end{bmatrix}$$\\begin{bmatrix}-1\\\\-2\\\\-1 \\end{bmatrix}$$A=\\begin{bmatrix}1 & -1 & 0\\\\ 2 & -2 & 0\\\\ 1 & -1 & 0\\\\ \\end{bmatrix}$\n",
"\n",
"6. $Ax=b$$b$$A$$A$$c\\begin{bmatrix}1\\\\2\\\\1\\\\ \\end{bmatrix}$$b$$\\begin{bmatrix}1\\\\2\\\\1\\\\ \\end{bmatrix}$\n",
"\n",
"7. \n",
"\n",
"8. $5 \\times 5$singular matrix\n",
"\n",
"9. $B^2=0$$B=0$$\\begin{bmatrix}0 & 1\\\\ 0 & 0\\\\ \\end{bmatrix}$****\n",
"\n",
"10. $n \\times n$$\\forall b, Ax=b$\n",
"\n",
"11. \n",
"$\n",
"B=\n",
"\\begin{bmatrix}\n",
"1 & 1 & 0 \\\\\n",
"0 & 1 & 0 \\\\\n",
"1 & 0 & 1 \\\\\n",
"\\end{bmatrix}\n",
"\\begin{bmatrix}\n",
"1 & 0 & -1 & 2 \\\\\n",
"0 & 1 & 1 & -1 \\\\\n",
"0 & 0 & 0 & 0 \\\\\n",
"\\end{bmatrix}\n",
"$$B$$B$$B=CD$$Bx=0, CDx=0$$C$$C^{-1}$$C^{-1}CDx=Dx=0$$C$$N(CD)=N(D)$$D$$N(B)$\n",
"$\\begin{bmatrix}-F\\\\I\\\\ \\end{bmatrix}$$\\begin{bmatrix}1\\\\-1\\\\1\\\\0 \\end{bmatrix}\\quad\\begin{bmatrix}-2\\\\1\\\\0\\\\1\\end{bmatrix}$\n",
"\n",
"12. $Bx=\\begin{bmatrix}1\\\\0\\\\1\\\\ \\end{bmatrix}$$B=CD$$B$$\\begin{bmatrix}1\\\\0\\\\1\\\\ \\end{bmatrix}$$\\begin{bmatrix}1\\\\0\\\\0\\\\0\\\\ \\end{bmatrix}$\n",
"$\n",
"x=\n",
"\\begin{bmatrix}1\\\\0\\\\0\\\\0\\\\ \\end{bmatrix}+\n",
"c_1\\begin{bmatrix}1\\\\-1\\\\1\\\\0 \\end{bmatrix}+c_2\\begin{bmatrix}-2\\\\1\\\\0\\\\1\\end{bmatrix}\n",
"$\n",
"\n",
"13. $\\begin{bmatrix}0 & 1\\\\ 0 & 0\\\\ \\end{bmatrix}$$\\begin{bmatrix}0 & 1\\\\ \\end{bmatrix}$$\\begin{bmatrix}1 & 0\\\\ \\end{bmatrix}$\n",
"\n",
"14. $A$$-A$\n",
"\n",
"15. $A, B$$A, B$$n$$\\mathbb{R}^n$\n",
"\n",
"16. \n",
"\n",
"17. $v=\\begin{bmatrix}1\\\\2\\\\3 \\end{bmatrix}$$A\\begin{bmatrix}1\\\\2\\\\3 \\end{bmatrix}=\\begin{bmatrix}0\\\\0\\\\0 \\end{bmatrix}$$A$$\\begin{bmatrix}1 & 2 & 3 \\end{bmatrix}$perpendicular"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
```
|
/content/code_sandbox/chapter13.ipynb
|
jupyter notebook
| 2016-05-09T14:20:50
| 2024-08-16T14:40:36
|
notes-linear-algebra
|
zlotus/notes-linear-algebra
| 3,514
| 1,415
|
```jupyter notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# \n",
"\n",
"r$m \\times n$$dim C(A^T)=r$$dim N(A)=n-r$$\\mathbb{R}^n$$dim C(A)=r$$dim N(A^T)$=m-r$\\mathbb{R}^m$\n",
"\n",
"$x, y$$x^T \\cdot y=0$$x_1y_1+x_2y_x+\\cdots+x_ny_n=0$$x, y$vector orthogonal\n",
"\n",
"Pythagorean theorem\n",
"\n",
"$$\n",
"\\begin{aligned}\n",
"\\left\\|\\overrightarrow{x}\\right\\|^2+\\left\\|\\overrightarrow{y}\\right\\|^2 &= \\left\\|\\overrightarrow{x+y}\\right\\|^2 \\\\\n",
"x^Tx+y^Ty &= (x+y)^T(x+y) \\\\ \n",
"x^Tx+y^Ty &= x^Tx+y^Ty+x^Ty+y^Tx \\\\\n",
"0 &= x^Ty+y^Tx \\qquad x^Ty=y^Tx \\\\\n",
"0 &= 2x^Ty \\\\\n",
"x^Ty &=0\n",
"\\end{aligned}\n",
"$$\n",
"\n",
"$0$$x, y$$0$$0$$0$\n",
"\n",
"\n",
"$x=\\begin{bmatrix}1\\\\2\\\\3\\end{bmatrix}, y=\\begin{bmatrix}2\\\\-1\\\\0\\end{bmatrix}, x+y=\\begin{bmatrix}3\\\\1\\\\3\\end{bmatrix}$$\\left\\| \\overrightarrow{x} \\right\\|^2=14, \\left\\| \\overrightarrow{y} \\right\\|^2=5, \\left\\| \\overrightarrow{x+y} \\right\\|^2=19$$x^Ty=1\\times2+2\\times (-1)+3\\times0=0$\n",
"\n",
"$S$$T$$S$$T$\n",
"\n",
"$Ax=0$$x$$Ax$\n",
"\n",
" $\n",
"\\begin{bmatrix}row_1\\\\row_2\\\\ \\vdots \\\\row_m\\end{bmatrix}\n",
"\\Bigg[x\\Bigg]=\n",
"\\begin{bmatrix}0\\\\0\\\\ \\vdots\\\\ 0\\end{bmatrix}\n",
"$\n",
"$$\n",
"\\begin{bmatrix}row_1\\end{bmatrix}\\Bigg[x\\Bigg]=0 \\\\\n",
"\\begin{bmatrix}row_2\\end{bmatrix}\\Bigg[x\\Bigg]=0 \\\\\n",
"\\vdots \\\\\n",
"\\begin{bmatrix}row_m\\end{bmatrix}\\Bigg[x\\Bigg]=0 \\\\\n",
"$$\n",
"\n",
"$x$$A$\n",
"\n",
"$x$$A$\n",
"$\n",
"\\begin{cases}\n",
"c_1(row_1)^Tx=0 \\\\\n",
"c_2(row_2)^Tx=0 \\\\\n",
"\\vdots \\\\\n",
"c_n(row_m)^Tx=0 \\\\\n",
"\\end{cases}\n",
"$$(c_1row_1+c_2row_2+\\cdots+c_nrow_m)^Tx=0$\n",
"\n",
"$\\mathbb{R}^n$$\\mathbb{R}^m$\n",
"\n",
"$A=\\begin{bmatrix}1&2&5\\\\2&4&10\\end{bmatrix}$$m=2, n=3, rank(A)=1, dim N(A)=2$\n",
"\n",
"$Ax=\\begin{bmatrix}1&2&5\\\\2&4&10\\end{bmatrix}\\begin{bmatrix}x_1\\\\x_2\\\\x_3\\end{bmatrix}=\\begin{bmatrix}0\\\\0\\end{bmatrix}$$x_1=\\begin{bmatrix}-2\\\\1\\\\0\\end{bmatrix}\\quad x_2=\\begin{bmatrix}-5\\\\0\\\\1\\end{bmatrix}$\n",
"\n",
"$r=\\begin{bmatrix}1\\\\2\\\\5\\end{bmatrix}$\n",
"\n",
"$n$orthogonal complement$m$\n",
"\n",
"$m>n$$Ax=b$\n",
"\n",
"$A^TA$$n \\times m$$m \\times n$$n \\times n$\n",
"\n",
"$$\n",
"(A^TA)^T=A^T(A^T)^T=A^TA\n",
"$$\n",
"\n",
"$A^TAx=A^Tb$\n",
"\n",
"$\\begin{bmatrix}1&1\\\\1&2\\\\1&5\\end{bmatrix}\\begin{bmatrix}x_1\\\\x_2\\end{bmatrix}=\\begin{bmatrix}b_1\\\\b_2\\\\b_3\\end{bmatrix}$$\\begin{bmatrix}b_1\\\\b_2\\\\b_3\\end{bmatrix}$\n",
"\n",
"$\\begin{bmatrix}1&1&1\\\\1&2&5\\end{bmatrix}\\begin{bmatrix}1&1\\\\1&2\\\\1&5\\end{bmatrix}=\\begin{bmatrix}3&8\\\\8&30\\end{bmatrix}$$A^TA$$A^TA$$\\begin{bmatrix}1&1&1\\\\3&3&3\\end{bmatrix}\\begin{bmatrix}1&3\\\\1&3\\\\1&3\\end{bmatrix}=\\begin{bmatrix}3&9\\\\9&27\\end{bmatrix}$\n",
"\n",
"\n",
"\n",
"$$\n",
"N(A^TA)=N(A)\\\\\n",
"rank(A^TA)=rank(A)\\\\\n",
"A^TAN(A)A\\\\\n",
"$$\n",
"\n",
""
]
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
```
|
/content/code_sandbox/chapter14.ipynb
|
jupyter notebook
| 2016-05-09T14:20:50
| 2024-08-16T14:40:36
|
notes-linear-algebra
|
zlotus/notes-linear-algebra
| 3,514
| 1,634
|
```jupyter notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# \n",
"\n",
"$\\mathbb{R}^2$$a, b$$b$$a$$p$\n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x1044a9b38>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import pandas as pd\n",
"\n",
"plt.style.use(\"seaborn-dark-palette\")\n",
"\n",
"fig = plt.figure()\n",
"plt.axis('equal')\n",
"plt.axis([-7, 7, -6, 6])\n",
"plt.arrow(-4, -1, 8, 2, head_width=0.3, head_length=0.5, color='r', length_includes_head=True)\n",
"plt.arrow(0, 0, 2, 4, head_width=0.3, head_length=0.5, color='b', length_includes_head=True)\n",
"plt.arrow(0, 0, 48/17, 12/17, head_width=0.3, head_length=0.5, color='gray', length_includes_head=True)\n",
"plt.arrow(48/17, 12/17, 2-48/17, 4-12/17, head_width=0.3, head_length=0.5, color='g', length_includes_head=True)\n",
"# plt.plot([48/17], [12/17], 'o')\n",
"# y=1/4x\n",
"# y=-4x+12\n",
"# x=48/17\n",
"# y=12/17\n",
"plt.annotate('b', xy=(1, 2), xytext=(-30, 15), textcoords='offset points', size=20, arrowprops=dict(arrowstyle=\"->\"))\n",
"plt.annotate('a', xy=(-1, -0.25), xytext=(15, -30), textcoords='offset points', size=20, arrowprops=dict(arrowstyle=\"->\"))\n",
"plt.annotate('e=b-p', xy=(2.5, 2), xytext=(30, 0), textcoords='offset points', size=20, arrowprops=dict(arrowstyle=\"->\"))\n",
"plt.annotate('p=xa', xy=(2, 0.5), xytext=(-20, -40), textcoords='offset points', size=20, arrowprops=dict(arrowstyle=\"->\"))\n",
"plt.grid()\n"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"plt.close(fig)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$e$$b, p$$e=b-p, e \\bot p$$p$$a$$\\underline{p=ax}$\n",
"\n",
"$a^Te=a^T(b-p)=a^T(b-ax)=0$\n",
"\n",
"$$\n",
"a^T(b-xa)=0 \\\\\n",
"\\underline{xa^Ta=a^Tb} \\\\\n",
"\\underline{x=\\frac{a^Tb}{a^Ta}} \\\\\n",
"p=a\\frac{a^Tb}{a^Ta}\n",
"$$\n",
"\n",
"$b$$2b$$p$$a$$2a$$p$\n",
"\n",
"$P$$projection_p=Pb$\n",
"\n",
"$\\underline{P=\\frac{aa^T}{a^Ta}}$$a$$n$$P$$n \\times n$\n",
"\n",
"$P$$C(P)$$a$$rank(P)=1$$aa^T$$a$\n",
"\n",
"\n",
"\n",
"* $\\underline{P=P^T}$\n",
"* $PPb$$Pb$$\\underline{P^2=P}$\n",
"\n",
"$Ax=b$\n",
"\n",
"$Ax$$A$$b$$b$$A$$Ax=b$$A\\hat{x}=p$$p$$b$$A$$\\hat{x}$$x$\n",
"\n",
"$\\mathbb{R}^3$$b$$A$$p$$b$$A$$e$$A$$b$$A$\n",
"$A$$a_1, a_2$$p=\\hat{x_1}a_1+\\hat{x_2}a_2$$p=A\\hat{x}$$\\hat{x}$\n",
"\n",
"$e=b-A\\hat{x}$\n",
"$\n",
"\\begin{cases}a_1^T(b-A\\hat{x})=0\\\\\n",
"a_2^T(b-A\\hat{x})=0\\end{cases}\n",
"$\n",
"$\n",
"\\begin{bmatrix}a_1^T\\\\a_2^T\\end{bmatrix}\n",
"(b-A\\hat{x})=\n",
"\\begin{bmatrix}0\\\\0\\end{bmatrix}\n",
"$$A^T(b-A\\hat{x})=0$\n",
"\n",
"$\\mathbb{R}^2$$a$$A$$A^Te=0$$e$$A^T$$e\\in N(A^T)$$\\bot$$e\\bot C(A)$\n",
"\n",
"$A^TAx=A^Tb$$\\mathbb{R}^2$$a^Ta$$A^TA$$n$$x$$\\mathbb{R}^3$$\\hat{x}$\n",
"\n",
"* $\\hat x=(A^TA)^{-1}A^Tb$\n",
"* $p=A\\hat x=\\underline{A(A^TA)^{-1}A^T}b$$\\mathbb{R}^2$$\\frac{aa^T}{a^Ta}$\n",
"* $P=A(A^TA)^{-1}A^T$\n",
"\n",
"$P=A(A^TA)^{-1}A^T$$P=AA^{-1}(A^T)^{-1}A^T=I$$A$\n",
"$A$$n$$A$$\\mathbb{R}^n$$b$$\\mathbb{R}^n$$I$$b$\n",
"\n",
"$P$\n",
"* $P=P^T$\n",
"$\n",
"\\left[A(A^TA)^{-1}A^T\\right]^T=A\\left[(A^TA)^{-1}\\right]^TA^T\n",
"$$(A^TA)$$A((A^TA)^{-1})^TA^T=A(A^TA)^{-1}A^T$\n",
"* $P^2=P$\n",
"$\n",
"\\left[A(A^TA)^{-1}A^T\\right]\\left[A(A^TA)^{-1}A^T\\right]=A(A^TA)^{-1}\\left[(A^TA)(A^TA)^{-1}\\right]A^T=A(A^TA)^{-1}A^T\n",
"$\n",
"\n",
"## \n",
"\n",
"least squares fitting by a line\n",
"\n",
" $(1, 1), (2, 2), (3, 2)$ $b=C+Dt$"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x1175bd2b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.style.use(\"seaborn-dark-palette\")\n",
"\n",
"fig = plt.figure()\n",
"plt.axis('equal')\n",
"plt.axis([-1, 4, -1, 3])\n",
"plt.axhline(y=0, c='black', lw='2')\n",
"plt.axvline(x=0, c='black', lw='2')\n",
"\n",
"plt.plot(1, 1, 'o', c='r')\n",
"plt.plot(2, 2, 'o', c='r')\n",
"plt.plot(3, 2, 'o', c='r')\n",
"\n",
"plt.annotate('(1, 1)', xy=(1, 1), xytext=(-40, 20), textcoords='offset points', size=14, arrowprops=dict(arrowstyle=\"->\"))\n",
"plt.annotate('(2, 2)', xy=(2, 2), xytext=(-60, -5), textcoords='offset points', size=14, arrowprops=dict(arrowstyle=\"->\"))\n",
"plt.annotate('(3, 2)', xy=(3, 2), xytext=(-18, 20), textcoords='offset points', size=14, arrowprops=dict(arrowstyle=\"->\"))\n",
"\n",
"plt.grid()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"plt.close(fig)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" \n",
"$\n",
"\\begin{cases}\n",
"C+D&=1 \\\\\n",
"C+2D&=2 \\\\\n",
"C+3D&=2 \\\\\n",
"\\end{cases}\n",
"$\n",
"$\\begin{bmatrix}1&1 \\\\1&2 \\\\1&3\\\\\\end{bmatrix}\\begin{bmatrix}C\\\\D\\\\\\end{bmatrix}=\\begin{bmatrix}1\\\\2\\\\2\\\\\\end{bmatrix}$$Ax=b$$A^TA\\hat x=A^Tb$$A^T$$A^TA\\hat x=A^Tb$\n",
"\n",
""
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
```
|
/content/code_sandbox/chapter15.ipynb
|
jupyter notebook
| 2016-05-09T14:20:50
| 2024-08-16T14:40:36
|
notes-linear-algebra
|
zlotus/notes-linear-algebra
| 3,514
| 17,591
|
```jupyter notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# \n",
"\n",
"inverse$A^{-1}A=I=AA^{-1}$$m\\times n$$A$$m=n=rank(A)$\n",
"\n",
"## left inserve\n",
"\n",
"$A$$m>n=rank(A)$\n",
"\n",
"$Ax=b$$b$$A$$b$$A$\n",
"\n",
"$\\mathbb{R}^n$\n",
"\n",
"$A^TA$$m>n=rank(A)$$n\\times m$$m\\times n$$n\\times n$$A^TA$$\\underbrace{\\left(A^TA\\right)^{-1}A^T}A=I$$\\left(A^TA\\right)^{-1}A^T$$A$\n",
"\n",
"$$A^{-1}_{left}=\\left(A^TA\\right)^{-1}A^T$$\n",
"\n",
"$A^TA\\hat x=A^Tb$$A^{-1}_{left}$$b$$b$$A$$\\hat x=\\left(A^TA\\right)^{-1}A^Tb$$A$$P=A\\left(A^TA\\right)^{-1}A^T$$p=A\\hat x=A\\left(A^TA\\right)^{-1}A^T$$b$$A$\n",
"\n",
"$AA^T$$m\\times m$$rank(AA^T)=n<m$$AA^T$\n",
"\n",
"## right inverse\n",
"\n",
"$m\\times n$$A$$n>m=rank(A)$\n",
"\n",
"$C(A)=\\mathbb{R}^m$$Ax=b$$n-m$$n-m$\n",
"\n",
"$AA^T$$n>m=rank(A)$$m\\times n$$n\\times m$$m\\times m$$AA^T$$AA^T$$A\\underbrace{A^T\\left(AA^T\\right)}=I$$A^T\\left(AA^T\\right)$\n",
"\n",
"$$A^{-1}_{right}=A^T\\left(AA^T\\right)$$\n",
"\n",
"$A$$P=A^T\\left(AA^T\\right)A$$A$$A^T$$b$$A$\n",
"\n",
"$m\\times n$$A$\n",
"\n",
"## pseudo inverse\n",
"\n",
"$m\\times n$$A$$rank(A)\\lt min(m,\\ n)$\n",
"\n",
"* $C(A)\\in\\mathbb{R}^m,\\ \\dim C(A)=r$$N\\left(A^T\\right)\\in\\mathbb{R}^m,\\ \\dim N\\left(A^T\\right)=m-r$\n",
"* $C\\left(A^T\\right)\\in\\mathbb{R}^n,\\ \\dim C\\left(A^T\\right)=r$$N(A)\\in\\mathbb{R}^n,\\ \\dim N(A)=n-r$\n",
"\n",
"$x$$A$$Ax$$A$$C(A)$$x\\in\\mathbb{R}^n,\\ Ax\\in\\mathbb{R}^m$$x$$Ax$$\\mathbb{R}^n$$r$$\\mathbb{R}^m$$r$\n",
"\n",
"$A$$\\mathbb{R}^n$\n",
"\n",
"$x,\\ y\\in C(A^T)$$Ax\\neq Ay$$A$$A$$A^+$$Ax=(Ax),\\ y=A^+(Ay)$\n",
"\n",
"$x,y\\in C\\left(A^T\\right),\\ x\\neq y$$Ax,Ay\\in C(A),\\ Ax\\neq Ay$\n",
"\n",
"* $Ax=Ay$$A(x-y)=0$$x-y\\in N(A)$\n",
"* $x,y\\in C\\left(A^T\\right)$$x-y$$C\\left(A^T\\right)$$x-y\\in C\\left(A^T\\right)$\n",
"* $x=y$\n",
"\n",
"$A^TA$$A^TA$\n",
"\n",
"$A^+$\n",
"\n",
"$A=U\\varSigma V^T$$\\varSigma=\\left[\\begin{array}{c c c|c}\\sigma_1&&&\\\\&\\ddots&&\\\\&&\\sigma_2&\\\\\\hline&&&\\begin{bmatrix}0\\end{bmatrix}\\end{array}\\right]$$A^TA,\\ AA^T$/\n",
"\n",
"$\\varSigma$$m\\times n$$rank(\\varSigma)=r$$\\varSigma^+=\\left[\\begin{array}{c c c|c}\\frac{1}{\\sigma_1}&&&\\\\&\\ddots&&\\\\&&\\frac{1}{\\sigma_r}&\\\\\\hline&&&\\begin{bmatrix}0\\end{bmatrix}\\end{array}\\right]$$n\\times m$$\\varSigma\\varSigma^+=\\left[\\begin{array}{c c c|c}1&&&\\\\&\\ddots&&\\\\&&1&\\\\\\hline&&&\\begin{bmatrix}0\\end{bmatrix}\\end{array}\\right]_{m\\times m}$$\\varSigma^+\\varSigma=\\left[\\begin{array}{c c c|c}1&&&\\\\&\\ddots&&\\\\&&1&\\\\\\hline&&&\\begin{bmatrix}0\\end{bmatrix}\\end{array}\\right]_{n\\times n}$\n",
"\n",
"$\\varSigma\\varSigma^+$$\\varSigma^+\\varSigma$$\\varSigma\\varSigma^+$$\\varSigma^+\\varSigma$/\n",
"\n",
"$A$\n",
"\n",
"$$A^+=V\\varSigma^+U^T$$"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
```
|
/content/code_sandbox/chapter34.ipynb
|
jupyter notebook
| 2016-05-09T14:20:50
| 2024-08-16T14:40:36
|
notes-linear-algebra
|
zlotus/notes-linear-algebra
| 3,514
| 1,594
|
```jupyter notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# \n",
"\n",
"$P=A(A^TA)^{-1}A^T$$Pb$$A$\n",
"\n",
" \n",
"* $b\\in C(A)$$Pb=b$\n",
"* $b\\bot C(A)$$Pb=0$\n",
"\n",
"$b$$A$$A$\n",
"\n",
"$b\\in C(A)$$b=Ax$$p=Pb=A(A^TA)^{-1}A^TAx=Ax$\n",
"\n",
"$b\\bot C(A)$$b\\in N(A^T)$$A^Tb=0$$p=Pb=A(A^TA)^{-1}A^Tb=0$\n",
"\n",
"$b$$b=e+p, p=Pb, e=(I-P)b$$p$$b$$C(A)$$e$$b$$N(A^T)$\n",
"\n",
"\n",
"\n",
" $(1, 1), (2, 2), (3, 2)$ $y=C+Dt$"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x1173d5d30>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"from sklearn import linear_model\n",
"import numpy as np\n",
"import pandas as pd\n",
"import seaborn as sns\n",
"\n",
"x = np.array([1, 2, 3]).reshape((-1,1))\n",
"y = np.array([1, 2, 2]).reshape((-1,1))\n",
"predict_line = np.array([-1, 4]).reshape((-1,1))\n",
"\n",
"regr = linear_model.LinearRegression()\n",
"regr.fit(x, y)\n",
"ey = regr.predict(x)\n",
"\n",
"fig = plt.figure()\n",
"plt.axis('equal')\n",
"plt.axhline(y=0, c='black')\n",
"plt.axvline(x=0, c='black')\n",
"\n",
"plt.scatter(x, y, c='r')\n",
"plt.scatter(x, regr.predict(x), s=20, c='b')\n",
"plt.plot(predict_line, regr.predict(predict_line), c='g', lw='1')\n",
"[ plt.plot([x[i], x[i]], [y[i], ey[i]], 'r', lw='1') for i in range(len(x))]\n",
"\n",
"plt.annotate('(1, 1)', xy=(1, 1), xytext=(-15, -30), textcoords='offset points', size=14, arrowprops=dict(arrowstyle=\"->\"))\n",
"plt.annotate('(2, 2)', xy=(2, 2), xytext=(-60, -5), textcoords='offset points', size=14, arrowprops=dict(arrowstyle=\"->\"))\n",
"plt.annotate('(3, 2)', xy=(3, 2), xytext=(-15, -30), textcoords='offset points', size=14, arrowprops=dict(arrowstyle=\"->\"))\n",
"\n",
"plt.annotate('$e_1$', color='r', xy=(1, 1), xytext=(0, 2), textcoords='offset points', size=20)\n",
"plt.annotate('$e_2$', color='r', xy=(2, 2), xytext=(0, -15), textcoords='offset points', size=20)\n",
"plt.annotate('$e_3$', color='r', xy=(3, 2), xytext=(0, 1), textcoords='offset points', size=20)\n",
"\n",
"plt.annotate('$p_1$', xy=(1, 7/6), color='b', xytext=(-7, 30), textcoords='offset points', size=14, arrowprops=dict(arrowstyle=\"->\"))\n",
"plt.annotate('$p_2$', xy=(2, 5/3), color='b', xytext=(-7, -30), textcoords='offset points', size=14, arrowprops=dict(arrowstyle=\"->\"))\n",
"plt.annotate('$p_3$', xy=(3, 13/6), color='b', xytext=(-7, 30), textcoords='offset points', size=14, arrowprops=dict(arrowstyle=\"->\"))\n",
"plt.draw()"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"plt.close(fig)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" \n",
"$\n",
"\\begin{cases}\n",
"C+D&=1 \\\\\n",
"C+2D&=2 \\\\\n",
"C+3D&=2 \\\\\n",
"\\end{cases}\n",
"$\n",
"$\\begin{bmatrix}1&1 \\\\1&2 \\\\1&3\\\\\\end{bmatrix}\\begin{bmatrix}C\\\\D\\\\\\end{bmatrix}=\\begin{bmatrix}1\\\\2\\\\2\\\\\\end{bmatrix}$$Ax=b$\n",
"\n",
"$b$$e$$e_1^2+e_2^2+e_3^2$$\\left\\|Ax-b\\right\\|^2=\\left\\|e\\right\\|^2$$b$$p=\\begin{bmatrix}p_1\\\\p_2\\\\p_3\\end{bmatrix}\\\\$$Ax-b=0$$b$$A$$e$linear regression\n",
"\n",
"$(0, 100)$\n",
"\n",
"$\\hat x=\\begin{bmatrix}\\hat C\\\\ \\hat D\\end{bmatrix}$$p=\\begin{bmatrix}p_1\\\\p_2\\\\p_3\\end{bmatrix}$\n",
"\n",
"$$\n",
"A^TA\\hat x=A^Tb\\\\\n",
"A^TA=\n",
"\\begin{bmatrix}3&6\\\\6&14\\end{bmatrix}\\qquad\n",
"A^Tb=\n",
"\\begin{bmatrix}5\\\\11\\end{bmatrix}\\\\\n",
"\\begin{bmatrix}3&6\\\\6&14\\end{bmatrix}\n",
"\\begin{bmatrix}\\hat C\\\\\\hat D\\end{bmatrix}=\n",
"\\begin{bmatrix}5\\\\11\\end{bmatrix}\\\\\n",
"$$\n",
"\n",
"$\\begin{cases}3\\hat C+16\\hat D&=5\\\\6\\hat C+14\\hat D&=11\\\\\\end{cases}$normal equations\n",
"\n",
"$e_1^2+e_2^2+e_3^2=(C+D-1)^2+(C+2D-2)^2+(C+3D-2)^2$$C, D$$C$$D$\n",
"\n",
"$\\hat C=\\frac{2}{3}, \\hat D=\\frac{1}{2}$$y=\\frac{2}{3}+\\frac{1}{2}t$$p_1=\\frac{7}{6}, p_2=\\frac{5}{3}, p_3=\\frac{13}{6}$$e_1=-\\frac{1}{6}, e_2=\\frac{1}{3}, e_3=-\\frac{1}{6}$\n",
"\n",
"$p=\\begin{bmatrix}\\frac{7}{6}\\\\\\frac{5}{3}\\\\\\frac{13}{6}\\end{bmatrix}, e=\\begin{bmatrix}-\\frac{1}{6}\\\\\\frac{1}{3}\\\\-\\frac{1}{6}\\end{bmatrix}$$b=p+e$$p\\cdot e=0$$p\\bot e$\n",
"\n",
"$e$$p$ $\\begin{bmatrix}1\\\\1\\\\1\\end{bmatrix}, \\begin{bmatrix}1\\\\2\\\\3\\end{bmatrix}$\n",
"\n",
"$A^TA$$A$$A^TA$\n",
"\n",
"$A^TAx=0$$x^T$$x^TA^TAx=0$$(Ax)^T(Ax)=0$$(Ax)^T(Ax)$$Ax$$Ax=0$$A$$x=0$$A^TA$\n",
"\n",
"\n",
"\n",
"* $\\begin{bmatrix}1\\\\0\\\\0\\end{bmatrix}\\begin{bmatrix}0\\\\1\\\\0\\end{bmatrix}\\begin{bmatrix}0\\\\0\\\\1\\end{bmatrix}$orthonormal vectors\n",
"* $\\begin{bmatrix}\\cos\\theta\\\\\\sin\\theta\\end{bmatrix}\\begin{bmatrix}-\\sin\\theta\\\\\\cos\\theta\\end{bmatrix}$\n",
"\n",
""
]
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python [default]",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
```
|
/content/code_sandbox/chapter16.ipynb
|
jupyter notebook
| 2016-05-09T14:20:50
| 2024-08-16T14:40:36
|
notes-linear-algebra
|
zlotus/notes-linear-algebra
| 3,514
| 11,496
|
```jupyter notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# $Ax=0$\n",
"\n",
"$3 \\times 4$\n",
"$\n",
"A=\n",
"\\begin{bmatrix}\n",
"1 & 2 & 2 & 2\\\\\n",
"2 & 4 & 6 & 8\\\\\n",
"3 & 6 & 8 & 10\\\\\n",
"\\end{bmatrix}\n",
"$$Ax=0$\n",
"\n",
"pivot variable\n",
"$$\n",
"A=\n",
"\\begin{bmatrix}\n",
"1 & 2 & 2 & 2\\\\\n",
"2 & 4 & 6 & 8\\\\\n",
"3 & 6 & 8 & 10\\\\\n",
"\\end{bmatrix}\n",
"\\underrightarrow{}\n",
"\\begin{bmatrix}\n",
"\\underline{1} & 2 & 2 & 2\\\\\n",
"0 & 0 & \\underline{2} & 4\\\\\n",
"0 & 0 & 0 & 0\\\\\n",
"\\end{bmatrix}\n",
"=U\n",
"$$\n",
"\n",
"pivot variable2$A$rank2$r=2$\n",
"\n",
"pivot columnfree column\n",
"\n",
"free variable$n-r=4-2=2$\n",
"\n",
"$x_2=1, x_4=0$\n",
"$x=c_1\\begin{bmatrix}-2\\\\1\\\\0\\\\0\\\\\\end{bmatrix}$\n",
"$x_2=0, x_4=1$\n",
"$x=c_2\\begin{bmatrix}2\\\\0\\\\-2\\\\1\\\\\\end{bmatrix}$\n",
"\n",
"$U$$R$Reduced row echelon form\n",
"\n",
"$0$\n",
"$$\n",
"U=\n",
"\\begin{bmatrix}\n",
"\\underline{1} & 2 & 2 & 2\\\\\n",
"0 & 0 & \\underline{2} & 4\\\\\n",
"0 & 0 & 0 & 0\\\\\n",
"\\end{bmatrix}\n",
"\\underrightarrow{}\n",
"\\begin{bmatrix}\n",
"\\underline{1} & 2 & 0 & -2\\\\\n",
"0 & 0 & \\underline{1} & 2\\\\\n",
"0 & 0 & 0 & 0\\\\\n",
"\\end{bmatrix}\n",
"=R\n",
"$$\n",
"\n",
"$R$\n",
"\n",
"$$\n",
"R=\n",
"\\begin{bmatrix}\n",
"\\underline{1} & 2 & 0 & -2\\\\\n",
"0 & 0 & \\underline{1} & 2\\\\\n",
"0 & 0 & 0 & 0\\\\\n",
"\\end{bmatrix}\n",
"\\underrightarrow{}\n",
"\\left[\n",
"\\begin{array}{c c | c c}\n",
"1 & 0 & 2 & -2\\\\\n",
"0 & 1 & 0 & 2\\\\\n",
"\\hline\n",
"0 & 0 & 0 & 0\\\\\n",
"\\end{array}\n",
"\\right]\n",
"=\n",
"\\begin{bmatrix}\n",
"I & F \\\\\n",
"0 & 0 \\\\\n",
"\\end{bmatrix}\n",
"\\textrm{}I\\textrm{}F\\textrm{}\n",
"$$\n",
"\n",
"$N$nullspace matrix$RN=0$\n",
"\n",
"$$\n",
"x_{pivot}=-Fx_{free} \\\\\n",
"\\begin{bmatrix}\n",
"I & F \\\\\n",
"\\end{bmatrix}\n",
"\\begin{bmatrix}\n",
"x_{pivot} \\\\\n",
"x_{free} \\\\\n",
"\\end{bmatrix}=0 \\\\\n",
"N=\\begin{bmatrix}\n",
"-F \\\\\n",
"I \\\\\n",
"\\end{bmatrix}\n",
"$$\n",
"\n",
"\n",
"$\n",
"N=\n",
"\\begin{bmatrix}\n",
"-2 & 2 \\\\\n",
"0 & -2 \\\\\n",
"1 & 0 \\\\\n",
"0 & 1 \\\\\n",
"\\end{bmatrix}\n",
"$$x$\n",
"\n",
"\n",
"$\n",
"A=\n",
"\\begin{bmatrix}\n",
"1 & 2 & 3 \\\\\n",
"2 & 4 & 6 \\\\\n",
"2 & 6 & 8 \\\\\n",
"2 & 8 & 10 \\\\\n",
"\\end{bmatrix}\n",
"\\underrightarrow{}\n",
"\\begin{bmatrix}\n",
"1 & 2 & 3 \\\\\n",
"0 & 2 & 2 \\\\\n",
"0 & 0 & 0 \\\\\n",
"0 & 0 & 0 \\\\\n",
"\\end{bmatrix}\n",
"\\underrightarrow{}\n",
"\\begin{bmatrix}\n",
"1 & 0 & 1 \\\\\n",
"0 & 1 & 1 \\\\\n",
"0 & 0 & 0 \\\\\n",
"0 & 0 & 0 \\\\\n",
"\\end{bmatrix}\n",
"=R\n",
"$\n",
"\n",
"$r=2$$2$$1$\n",
"\n",
"$x_3=1$\n",
"$\n",
"x=c\n",
"\\begin{bmatrix}\n",
"-1 \\\\\n",
"-1 \\\\\n",
"1 \\\\\n",
"\\end{bmatrix}\n",
"$"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python [default]",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
```
|
/content/code_sandbox/chapter07.ipynb
|
jupyter notebook
| 2016-05-09T14:20:50
| 2024-08-16T14:40:36
|
notes-linear-algebra
|
zlotus/notes-linear-algebra
| 3,514
| 1,647
|
```jupyter notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# \n",
"\n",
"\n",
"\n",
"1. $\\det I=1$\n",
"2. \n",
"3. \n",
"\n",
"\n",
"\n",
"$$\\begin{vmatrix}a&b\\\\c&d\\end{vmatrix}=\\begin{vmatrix}a&0\\\\c&d\\end{vmatrix}+\\begin{vmatrix}0&b\\\\c&d\\end{vmatrix}=\\begin{vmatrix}a&0\\\\c&0\\end{vmatrix}+\\begin{vmatrix}a&0\\\\0&d\\end{vmatrix}+\\begin{vmatrix}0&b\\\\c&0\\end{vmatrix}+\\begin{vmatrix}0&b\\\\0&d\\end{vmatrix}=ad-bc$$\n",
"\n",
"\n",
"\n",
"$$\\begin{vmatrix}a_{11}&a_{12}&a_{13}\\\\a_{21}&a_{22}&a_{23}\\\\a_{31}&a_{32}&a_{33}\\end{vmatrix}=\\begin{vmatrix}a_{11}&0&0\\\\0&a_{22}&0\\\\0&0&a_{33}\\end{vmatrix}+\\begin{vmatrix}a_{11}&0&0\\\\0&0&a_{23}\\\\0&a_{32}&0\\end{vmatrix}+\\begin{vmatrix}0&a_{12}&0\\\\a_{21}&0&0\\\\0&0&a_{33}\\end{vmatrix}+\\begin{vmatrix}0&a_{12}&0\\\\0&0&a_{23}\\\\a_{31}&0&0\\end{vmatrix}+\\begin{vmatrix}0&0&a_{13}\\\\a_{21}&0&0\\\\0&a_{32}&0\\end{vmatrix}+\\begin{vmatrix}0&0&a_{13}\\\\0&a_{22}&0\\\\a_{31}&0&0\\end{vmatrix}$$\n",
"\n",
"$$=a_{11}a_{22}a_{33}-a_{11}a_{23}a_{32}-a_{12}a_{21}a_{33}+a_{12}a_{23}a_{31}+a_{13}a_{21}a_{32}-a_{13}a_{22}a_{31}\\tag{1}$$\n",
"\n",
"$n$$n!$$n$$n-1$$n!$\n",
"\n",
"$$\\det A=\\sum_{n!} \\pm a_{1\\alpha}a_{2\\beta}a_{3\\gamma}\\cdots a_{n\\omega}, (\\alpha, \\beta, \\gamma, \\omega)=P_n^n\\tag{2}$$\n",
"\n",
"\n",
"\n",
"$$\\begin{vmatrix}0&0&\\overline 1&\\underline 1\\\\0&\\overline 1&\\underline 1&0\\\\\\overline 1&\\underline 1&0&0\\\\\\underline 1&0&0&\\overline 1\\end{vmatrix}$$\n",
"* $(4,3,2,1)$$(1,2,3,4)$$+$\n",
"* $(3,2,1,4)$$(1,2,3,4)$$-$\n",
"* \n",
"\n",
"cofactor$n$$n-1$\n",
"\n",
"$(1)$\n",
"\n",
"$$a_{11}(a_{22}a_{33}-a_{23}a_{32})+a_{12}(a_{21}a_{33}-a_{23}a_{31})+a_{13}(a_{21}a_{32}-a_{22}a_{31})$$\n",
"\n",
"$$\\begin{vmatrix}a_{11}&0&0\\\\0&a_{22}&a_{23}\\\\0&a_{32}&a_{33}\\end{vmatrix}+\\begin{vmatrix}0&a_{12}&0\\\\a_{21}&0&a_{23}\\\\a_{31}&0&a_{33}\\end{vmatrix}+\\begin{vmatrix}0&0&a_{13}\\\\a_{21}&a_{22}&0\\\\a_{31}&a_{32}&0\\end{vmatrix}$$\n",
"\n",
"$a_{ij}$$i$$j$$n-1$$C_{ij}$$i+j$$+$$i+j$$-$\n",
"\n",
"$(2)$$A$\n",
"\n",
"$$\\det A=a_{11}C_{11}+a_{12}C_{12}+\\cdots+a_{1n}C_{1n}$$\n",
"\n",
"\n",
"\n",
"1. $\\det A$\n",
"2. $(2)$$n!$\n",
"3. \n",
"\n",
"\n",
"$A_4=\\begin{vmatrix}1&1&0&0\\\\1&1&1&0\\\\0&1&1&1\\\\0&0&1&1\\end{vmatrix}\\stackrel{}{=}\\begin{vmatrix}1&1&0\\\\1&1&1\\\\0&1&1\\end{vmatrix}-\\begin{vmatrix}1&1&0\\\\0&1&1\\\\0&1&1\\end{vmatrix}=-1-0=-1$"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
```
|
/content/code_sandbox/chapter19.ipynb
|
jupyter notebook
| 2016-05-09T14:20:50
| 2024-08-16T14:40:36
|
notes-linear-algebra
|
zlotus/notes-linear-algebra
| 3,514
| 1,474
|
```jupyter notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# \n",
"\n",
"\n",
"\n",
"## \n",
"\n",
"$\\begin{bmatrix}a&b\\\\c&d\\end{bmatrix}^{-1}=\\frac{1}{ad-bc}\\begin{bmatrix}d&-b\\\\-c&a\\end{bmatrix}$\n",
"\n",
"$$\n",
"A^{-1}=\\frac{1}{\\det A}C^T\n",
"\\tag{1}\n",
"$$\n",
"\n",
"$AC^T=(\\det A)I$$\\begin{bmatrix}a_{11}&a_{12}&\\cdots&a_{1n}\\\\\\vdots&\\vdots&\\ddots&\\vdots\\\\a_{n1}&a_{n2}&\\cdots&a_{nn}\\end{bmatrix}\\begin{bmatrix}C_{11}&\\cdots&C_{n1}\\\\C_{12}&\\cdots&C_{n2}\\\\\\vdots&\\ddots&\\vdots\\\\C_{1n}&\\cdots&C_{nn}\\end{bmatrix}=Res$\n",
"\n",
"$Res_{11}=a_{11}C_{11}+a_{12}C_{12}+\\cdots+a_{1n}C_{1n}$$Res_{22}, \\cdots, Res_{nn}$$Res_{ii}=\\det A$$\\det A$\n",
"\n",
"$a_{11}C_{21}+a_{12}C_{22}$$a(-b)+ab=0$$a(-b)+ab=0$$A_{s}=\\begin{bmatrix}a&b\\\\a&b\\end{bmatrix}$$\\det A_{s}$$\\det A_{s}=a(-b)+ab$\n",
"\n",
"$n$$Res_{1n}=a_{11}C_{n1}+a_{12}C_{n2}+\\cdots+a_{1n}C_{nn}$$A_{s}=\\begin{bmatrix}a_{11}&a_{12}&\\cdots&a_{1n}\\\\a_{21}&a_{22}&\\cdots&a_{2n}\\\\\\vdots&\\vdots&\\ddots&\\vdots\\\\a_{n-a1}&a_{n-12}&\\cdots&a_{n-1n}\\\\a_{11}&a_{12}&\\cdots&a_{1n}\\end{bmatrix}$$\\det A_{s}$$\\det A_{s}=a_{11}C_{n1}+a_{12}C_{n2}+\\cdots+a_{1n}C_{nn}$$A_{s}$\n",
"\n",
"$Res=\\begin{bmatrix}\\det A&0&\\cdots&0\\\\0&\\det A&\\cdots&0\\\\\\vdots&\\vdots&\\ddots&\\vdots\\\\0&0&\\cdots&\\det A\\end{bmatrix}$$(1)$$(\\det A)I$\n",
"\n",
"## $Ax=b$\n",
"\n",
"$Ax=b$$x=A^{-1}b=\\frac{1}{\\det A}C^Tb$$x$Cramer's rule\n",
"\n",
"$x=\\frac{1}{\\det A}C^Tb$$x$$x_1=\\frac{y_1}{\\det A}$$y_1$$y_1=b_1C_{11}+b_2C_{21}+\\cdots+b_nC_{n1}$$y_1$$B_1$$x_i=\\frac{\\det B_1}{\\det A}$$x_2=\\frac{\\det B_2}{\\det A}$$x_2=\\frac{\\det B_2}{\\det A}$\n",
"\n",
"$B_1$$\\Bigg[b a_2 a_3 \\cdots a_n\\Bigg]$$A$$b$$\\det B_1$$y_1=b_1C_{11}+b_2C_{21}+\\cdots+b_nC_{n1}$\n",
"\n",
"$B_j=\\Bigg[a_1 a_2 \\cdots a_{j-1} b a_{j+1} \\cdots a_n\\Bigg]$$A$$j$$b$$x_j=\\frac{\\det B_j}{\\det A}$\n",
"\n",
"\n",
"\n",
"## Volume\n",
"\n",
"\n",
"\n",
"$3$$A$$(a_1,a_2,a_3)$$A_1$$A_2, A_3$$\\left\\|\\det A\\right\\|$\n",
"\n",
"$\\det I=1$123\n",
"\n",
"2\n",
"\n",
"$A=Q$$Q$$Q^TQ=I$$\\det(Q^TQ)=1=\\left|Q^T\\right|\\left|Q\\right|$10$\\left|Q^T\\right|=\\left|Q\\right|$$=\\left|Q\\right|^2=1, \\left|Q\\right|=\\pm 1$\n",
"\n",
" $Q$$Q_2$3.a$\\det Q_2=\\det Q$\n",
"\n",
"$\\begin{vmatrix}a+a'&b+b'\\\\c&d\\end{vmatrix}=\\begin{vmatrix}a&b\\\\c&d\\end{vmatrix}+\\begin{vmatrix}a'&b'\\\\c&d\\end{vmatrix}$$(0,0), (a,b), (c,d), (a+c,b+d)$$\\det A=ad-bc$$(0,0), (a,b), (c,d)$$\\frac{1}{2}ad-bc$\n",
"\n",
"$(x_1,y_1), (x_2,y_2), (x_3,y_3)$$\\frac{1}{2}\\begin{vmatrix}x_1&y_1&1\\\\x_2&y_2&1\\\\x_3&y_3&1\\end{vmatrix}$$1$$\\frac{1}{2}\\begin{vmatrix}x_1&y_1&1\\\\x_2-x_1&y_2-y_1&0\\\\x_3-x_1&y_3-y_1&0\\end{vmatrix}$$\\frac{(x_2-x_1)(y_3-y_1)-(x_3-x_1)(y_2-y_1)}{2}$"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
```
|
/content/code_sandbox/chapter20.ipynb
|
jupyter notebook
| 2016-05-09T14:20:50
| 2024-08-16T14:40:36
|
notes-linear-algebra
|
zlotus/notes-linear-algebra
| 3,514
| 1,725
|
```jupyter notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# $Ax=b$\n",
"\n",
"$3 \\times 4$\n",
"$\n",
"A=\n",
"\\begin{bmatrix}\n",
"1 & 2 & 2 & 2\\\\\n",
"2 & 4 & 6 & 8\\\\\n",
"3 & 6 & 8 & 10\\\\\n",
"\\end{bmatrix}\n",
"$$Ax=b$\n",
"\n",
"augmented matrix$\\left[\\begin{array}{c|c}A & b\\end{array}\\right]$\n",
"\n",
"$$\n",
"\\left[\n",
"\\begin{array}{c c c c|c}\n",
"1 & 2 & 2 & 2 & b_1 \\\\\n",
"2 & 4 & 6 & 8 & b_2 \\\\\n",
"3 & 6 & 8 & 10 & b_3 \\\\\n",
"\\end{array}\n",
"\\right]\n",
"\\underrightarrow{}\n",
"\\left[\n",
"\\begin{array}{c c c c|c}\n",
"1 & 2 & 2 & 2 & b_1 \\\\\n",
"0 & 0 & 2 & 4 & b_2-2b_1 \\\\\n",
"0 & 0 & 0 & 0 & b_3-b_2-b_1 \\\\\n",
"\\end{array}\n",
"\\right]\n",
"$$\n",
"\n",
"$b_3-b_2-b_1=0$\n",
"\n",
"$b$$Ax=b$solvability condition on b$b$$A$$A$$0$$b$$0$\n",
"\n",
"$0$$\n",
"\\Big\\lbrace\n",
"\\begin{eqnarray*}\n",
"x_1 & + & 2x_3 & = & 1 \\\\\n",
" & & 2x_3 & = & 3 \\\\\n",
"\\end{eqnarray*}\n",
"$\n",
"\n",
"$\n",
"\\Big\\lbrace\n",
"\\begin{eqnarray*}\n",
"x_1 & = & -2 \\\\\n",
"x_3 & = & \\frac{3}{2} \\\\\n",
"\\end{eqnarray*}\n",
"$\n",
"$Ax=b$\n",
"$\n",
"x_p=\n",
"\\begin{bmatrix}\n",
"-2 \\\\ 0 \\\\ \\frac{3}{2} \\\\ 0\n",
"\\end{bmatrix}\n",
"$\n",
"\n",
"$Ax=b$\n",
"\n",
"$$\n",
"\\Big\\lbrace\n",
"\\begin{eqnarray}\n",
"A & x_p & = & b \\\\\n",
"A & x_n & = & 0 \\\\\n",
"\\end{eqnarray}\n",
"\\quad\n",
"\\underrightarrow{}\n",
"\\quad\n",
"A(x_p+x_n)=b\n",
"$$\n",
"\n",
"$Ax=b$\n",
"$\n",
"x_{complete}=\n",
"\\begin{bmatrix}\n",
"-2 \\\\ 0 \\\\ \\frac{3}{2} \\\\ 0\n",
"\\end{bmatrix}\n",
"+\n",
"c_1\\begin{bmatrix}-2\\\\1\\\\0\\\\0\\\\\\end{bmatrix}\n",
"+\n",
"c_2\\begin{bmatrix}2\\\\0\\\\-2\\\\1\\\\\\end{bmatrix}\n",
"$\n",
"\n",
"$m \\times n$$A$$A$$r \\leq min(m, n)$\n",
"\n",
"$r=n$\n",
"$\n",
"A=\n",
"\\begin{bmatrix}\n",
"1 & 3 \\\\\n",
"2 & 1 \\\\\n",
"6 & 1 \\\\\n",
"5 & 1 \\\\\n",
"\\end{bmatrix}\n",
"$\n",
"$rank(A)=2$$Ax=b, b \\neq 0$$b$$A$A$0$\n",
"\n",
"$r=m$\n",
"$\n",
"A=\n",
"\\begin{bmatrix}\n",
"1 & 2 & 6 & 5 \\\\\n",
"3 & 1 & 1 & 1 \\\\\n",
"\\end{bmatrix}\n",
"$\n",
"$rank(A)=2$$\\forall b \\in R^mx \\neq 0$$A$$R^m$$b \\in R^m$$A$n-r\n",
"\n",
"$r=m=n$\n",
"$\n",
"A=\n",
"\\begin{bmatrix}\n",
"1 & 2 \\\\\n",
"3 & 4 \\\\\n",
"\\end{bmatrix}\n",
"$\n",
"$A$$R=I$$0$\n",
"\n",
"\n",
"\n",
"$$\\begin{array}{c|c|c|c}r=m=n&r=n\\lt m&r=m\\lt n&r\\lt m,r\\lt n\\\\R=I&R=\\begin{bmatrix}I\\\\0\\end{bmatrix}&R=\\begin{bmatrix}I&F\\end{bmatrix}&R=\\begin{bmatrix}I&F\\\\0&0\\end{bmatrix}\\\\1\\ solution&0\\ or\\ 1\\ solution&\\infty\\ solution&0\\ or\\ \\infty\\ solution\\end{array}$$"
]
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python [default]",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
```
|
/content/code_sandbox/chapter08.ipynb
|
jupyter notebook
| 2016-05-09T14:20:50
| 2024-08-16T14:40:36
|
notes-linear-algebra
|
zlotus/notes-linear-algebra
| 3,514
| 1,550
|
```jupyter notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# \n",
"\n",
"## "
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x104b99e10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import networkx as nx\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"\n",
"dg = nx.DiGraph()\n",
"dg.add_edges_from([(1,2), (2,3), (1,3), (1,4), (3,4)])\n",
"edge_labels = {(1, 2): 1, (1, 3): 3, (1, 4): 4, (2, 3): 2, (3, 4): 5}\n",
"\n",
"pos = nx.spring_layout(dg)\n",
"nx.draw_networkx_edge_labels(dg,pos,edge_labels=edge_labels, font_size=16)\n",
"nx.draw_networkx_labels(dg, pos, font_size=20, font_color='w')\n",
"nx.draw(dg, pos, node_size=1500, node_color=\"gray\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"45\n",
"\n",
"$$\n",
"\\begin{array}{c | c c c c}\n",
" & node_1 & node_2 & node_3 & node_4 \\\\\n",
"\\hline\n",
"edge_1 & -1 & 1 & 0 & 0 \\\\\n",
"edge_2 & 0 & -1 & 1 & 0 \\\\\n",
"edge_3 & -1 & 0 & 1 & 0 \\\\\n",
"edge_4 & -1 & 0 & 0 & 1 \\\\\n",
"edge_5 & 0 & 0 & -1 & 1 \\\\\n",
"\\end{array}\n",
"$$\n",
"\n",
"$5 \\times 4$\n",
"$\n",
"A=\n",
"\\begin{bmatrix}\n",
"-1 & 1 & 0 & 0 \\\\\n",
"0 & -1 & 1 & 0 \\\\\n",
"-1 & 0 & 1 & 0 \\\\\n",
"-1 & 0 & 0 & 1 \\\\\n",
"0 & 0 & -1 & 1 \\\\\n",
"\\end{bmatrix}\n",
"$\n",
"\n",
"loop\n",
"\n",
"$Ax=0$\n",
"$\n",
"Ax=\n",
"\\begin{bmatrix}\n",
"-1 & 1 & 0 & 0 \\\\\n",
"0 & -1 & 1 & 0 \\\\\n",
"-1 & 0 & 1 & 0 \\\\\n",
"-1 & 0 & 0 & 1 \\\\\n",
"0 & 0 & -1 & 1 \\\\\n",
"\\end{bmatrix}\n",
"\\begin{bmatrix}\n",
"x_1\\\\x_2\\\\x_3\\\\x_4\\\\\n",
"\\end{bmatrix}\n",
"$\n",
"\n",
"\n",
"$\\begin{bmatrix}x_2-x_1 \\\\x_3-x_2 \\\\x_3-x_1 \\\\x_4-x_1 \\\\x_4-x_3 \\\\ \\end{bmatrix}=\\begin{bmatrix}0\\\\0\\\\0\\\\0\\\\0\\\\ \\end{bmatrix}$\n",
"\n",
"$x=\\begin{bmatrix}x_1 & x_2 & x_3 & x_4\\end{bmatrix}$Potential at the Nodes\n",
"\n",
"$x_2-x_1$Potential Differences\n",
"\n",
"$x=\\begin{bmatrix}1\\\\1\\\\1\\\\1\\end{bmatrix}$$0$\n",
"\n",
"$A$$rank(A)=3$$n-r=4-3=1$$\\begin{bmatrix}1\\\\1\\\\1\\\\1\\end{bmatrix}$\n",
"\n",
"\n",
"\n",
"$4$$4$$0$\n",
"$\n",
"A=\n",
"\\begin{bmatrix}\n",
"-1 & 1 & 0 \\\\\n",
"0 & -1 & 1 \\\\\n",
"-1 & 0 & 1 \\\\\n",
"-1 & 0 & 0 \\\\\n",
"0 & 0 & -1 \\\\\n",
"\\end{bmatrix}\n",
"$$rank(A)=3$\n",
"\n",
"$A^Ty=0$\n",
"\n",
"$A^Ty=0=\\begin{bmatrix}-1 & 0 & -1 & -1 & 0 \\\\1 & -1 & 0 & 0 & 0 \\\\0 & 1 & 1 & 0 & -1 \\\\0 & 0 & 0 & 1 & 1 \\\\ \\end{bmatrix}\\begin{bmatrix}y_1\\\\y_2\\\\y_3\\\\y_4\\\\y_5\\end{bmatrix}=\\begin{bmatrix}0\\\\0\\\\0\\\\0\\end{bmatrix}$$dim N(A^T)=m-r=5-3=2$\n",
"\n",
"$C$conductanceresistance\n",
"\n",
"$\n",
"\n",
"\\xrightarrow[]{C}\n",
"y_1, y_2, y_3, y_4, y_5\n",
"$$A^Ty=0$Kirchoff's Law, KCL\n",
"\n",
""
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x10dd54be0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import networkx as nx\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"\n",
"dg = nx.DiGraph()\n",
"dg.add_edges_from([(1,2), (2,3), (1,3), (1,4), (3,4)])\n",
"edge_labels = {(1, 2): 1, (1, 3): 3, (1, 4): 4, (2, 3): 2, (3, 4): 5}\n",
"\n",
"pos = nx.spring_layout(dg)\n",
"nx.draw_networkx_edge_labels(dg,pos,edge_labels=edge_labels, font_size=16)\n",
"nx.draw_networkx_labels(dg, pos, font_size=20, font_color='w')\n",
"nx.draw(dg, pos, node_size=1500, node_color=\"gray\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$A^Ty=0$\n",
"$\n",
"\\left\\{\n",
"\\begin{aligned}\n",
"y_1 + y_3 + y_4 &= 0 \\\\\n",
"y_1 - y_2 &= 0 \\\\\n",
"y_2 + y_3 - y_5 &= 0 \\\\\n",
"y_4 - y_5 &= 0 \\\\\n",
"\\end{aligned}\n",
"\\right.\n",
"$\n",
"\n",
"$A^Ty=0$$-y_1-y_3-y_4=0$$1$$1$\n",
"\n",
"$A^T$$2$\n",
"\n",
"* $y_1=1$$1$$1$\n",
"* $y_2$$1$\n",
"* $y_3=-1$$1$$1$\n",
"* $y_4=y_5=0$\n",
"\n",
"KCL$\\begin{bmatrix}1\\\\1\\\\-1\\\\0\\\\0\\end{bmatrix}$$1,2,3$\n",
"\n",
"$1,3,4$\n",
"\n",
"* $y_1=y_2=0$\n",
"* $y_3=1$\n",
"* $y_5=1$\n",
"* $y_4=-1$\n",
"\n",
"KCL$\\begin{bmatrix}0\\\\0\\\\1\\\\-1\\\\1\\end{bmatrix}$\n",
"\n",
"$N(A^T)$$\\begin{bmatrix}1\\\\1\\\\-1\\\\0\\\\0\\end{bmatrix}\\quad\\begin{bmatrix}0\\\\0\\\\1\\\\-1\\\\1\\end{bmatrix}$\n",
"\n",
"$1,2,3,4$$1,2,5,4$\n",
"\n",
"* $y_3=0$\n",
"* $y_1=1$\n",
"* $y_2=1, y_5=1, y_4=-1$\n",
"\n",
"KCL$\\begin{bmatrix}1\\\\1\\\\0\\\\-1\\\\1\\end{bmatrix}$\n",
"\n",
"$A$$A^T$\n",
"$\n",
"A^T=\n",
"\\begin{bmatrix}\n",
"-1 & 0 & -1 & -1 & 0 \\\\\n",
"1 & -1 & 0 & 0 & 0 \\\\\n",
"0 & 1 & 1 & 0 & -1 \\\\\n",
"0 & 0 & 0 & 1 & 1 \\\\\n",
"\\end{bmatrix}\n",
"$\n",
"\n",
"\n",
"$A^T$$A^T$$1,2,4$$1,2,4$****$4$$3$$A^T$$rank=nodes-1$Tree\n",
"\n",
"$dim N(A^T)=m-r$$loops=edges-(nodes-1)$\n",
"\n",
"$$\n",
"nodes-edges+loops=1\n",
"$$\n",
"\n",
"Euler's Formula$-+=1$\n",
"\n",
"\n",
"\n",
"* $e$$e=Ax$\n",
"* $y=Ce$\n",
"* $A^Ty=0$\n",
"\n",
"\n",
"\n",
" \n",
"\n",
"$e=Ax$$A^Ty=f$$f$\n",
"\n",
"$A^TCAx=f$$A^TA$"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
```
|
/content/code_sandbox/chapter12.ipynb
|
jupyter notebook
| 2016-05-09T14:20:50
| 2024-08-16T14:40:36
|
notes-linear-algebra
|
zlotus/notes-linear-algebra
| 3,514
| 25,060
|
```rebol
z_theme <- function() {
theme_bw(base_size=9) +
#Background and Grid formatting
theme(panel.background=element_rect(fill="#F0F0F0", color="#F0F0F0")) +
theme(plot.background=element_rect(fill="#F0F0F0", color="#F0F0F0")) +
theme(panel.border=element_rect(color="#F0F0F0")) +
theme(panel.grid.major=element_line(color="#969696",size=.25)) +
theme(panel.grid.minor=element_blank()) +
#Legend formatting
theme(legend.background = element_rect(fill="#F0F0F0")) +
theme(legend.text = element_text(size=14,color="#525252")) +
theme(legend.title= element_blank())+
#Axis & Title Formatting
theme(plot.title=element_text(color="#525252", size=20, vjust=1.25)) +
theme(plot.subtitle=element_text(size=12,color="#737373", vjust=0)) +
theme(plot.caption=element_text(size=12,color="#737373", vjust=0)) +
theme(axis.ticks=element_blank()) +
theme(axis.text.x=element_text(size=14,color="#737373")) +
theme(axis.text.y=element_text(size=14,color="#737373")) +
theme(axis.title.x=element_text(size=16,color="#737373", vjust=0)) +
theme(axis.title.y=element_text(size=16,color="#737373", vjust=.5))
}
```
|
/content/code_sandbox/z_theme.r
|
rebol
| 2016-06-23T18:12:14
| 2024-08-09T22:43:39
|
investing
|
zonination/investing
| 1,737
| 332
|
```unknown
# Load libraries
# setwd("~/Dropbox/R/Stock Market")
# library(ggplot2)
# library(scales)
# source("z_theme.r")
# stocks<-read.csv("returns.csv", stringsAsFactors=FALSE)
stockrisk<-matrix(NA,nrow=21,ncol=3)
stockrisk<-as.data.frame(stockrisk)
names(stockrisk)<-c("year","chance","nochance")
for(n in 1:21){
stockrisk$chance[n]<-
length(subset(stocks,multip<1&year==n)$year)/length(subset(stocks,year==n)$year)
stockrisk$year[n]<-n
stockrisk$nochance[n]<-1-stockrisk$chance[n]
}
ggplot(stockrisk,aes(year,chance))+
geom_line()+
scale_y_continuous(labels=scales::percent)+
ggtitle("Chance of Losing in the Stock Market")+
ylab("Chance of Loss")+
xlab("Years Invested")+
# scale_y_continuous(limits=c(0,1))+
z_theme()
```
|
/content/code_sandbox/snippets/snip1.R
|
unknown
| 2016-06-23T18:12:14
| 2024-08-09T22:43:39
|
investing
|
zonination/investing
| 1,737
| 238
|
```unknown
```
|
/content/code_sandbox/snippets/name
|
unknown
| 2016-06-23T18:12:14
| 2024-08-09T22:43:39
|
investing
|
zonination/investing
| 1,737
| 2
|
```unknown
# NOTICE: This code is probably poorly-written garbage. Try to understand
# it at your own risk.
# Set working directory, and import libraries:
# setwd("~/Dropbox/R/Stock Market")
library(ggplot2)
library(scales)
library(lubridate)
source("z_theme.r")
# The following data source:
# I strongly recommend using the github link below, since the sp500 data is
# actively maintained. My data is updated only occasionally
# "path_to_url"
sp500<-read.csv("stocks.csv", stringsAsFactors=FALSE)
# If you're not regenerating the source data, comment this part out
# and Uncomment the "Master Loop" section below
# stocks<-read.csv("returns.csv", stringsAsFactors=FALSE)
# Doing stuff with dates:
# Reformatting the dates to make it readable by the system.
sp500$Date<-as.Date(sp500$Date,"%Y-%m-%d")
# S&P 500 was started in 1923; prior history is from Shiller. If you
# only want the "real" sp500 values, uncomment the line below:
# sp500<-subset(sp500,sp500$Date >= as.Date("1926-01-01","%Y-%m-%d"))
#Calculate real returns (Reinvested dividends)
sp500$real.return <- 1 # Start with initial conditions. I invest one dollar at the beginning of the stock market.
for(r in 2:nrow(sp500)){
sp500$real.return[r]<-
# Start with previous value:
sp500$real.return[r-1]*
# Multiply it by the % change in stock value in the last month:
(((sp500$Real.Price[r]-sp500$Real.Price[r-1])/
(sp500$Real.Price[r-1]))+1)+
# Finally, add last month's dividends to the party; they get reinvested:
(sp500$Real.Dividend[r-1]/sp500$Real.Price[r-1])*
(sp500$real.return[r-1]/12)
}
# Master Loop
# If you're not regenerating the source data, uncomment this part
# Warning: May take a very long time to solve.
###############
stocks<-data.frame(NA,NA,NA,NA)
names(stocks)<-c("year","real","percent","inv.date")
for(f in 0:nrow(sp500)){
sp500$future.f<-NA #Future S&P Price
sp500$cpi.f <- NA #Future CPI
sp500$future.r <- NA #Future Real Returns
buffer<-data.frame(NA,NA,NA,NA)
names(buffer)<-c("year","real","percent","inv.date")
for(n in (f+1):nrow(sp500)){
# Get values for "f" years in the future
sp500$future.f[n-f] <- sp500$SP500[n] # Work our Future S&P Price into its own column
sp500$cpi.f[n-f] <- sp500$Consumer.Price.Index[n] # Work the Future CPI into its own column
sp500$future.r[n-f] <- sp500$real.return[n] # Work the Real Returns into its own column
buffer<-rbind(buffer,c(f/12,sp500$future.r[n-f], # Record all history
(sp500$future.r[n-f]-sp500$real.return[n-f]) /
sp500$real.return[n-f],
as.character(sp500$Date[n-f])
))
}
stocks<-rbind(stocks,buffer)
print(paste(f, " of ", nrow(sp500), " completed: ", signif(f*100/nrow(sp500),4),"%",sep=""))}
stocks<-subset(stocks,!is.na(stocks$percent))
rm(buffer)
# Use a cash multiplier instead of a percent:
stocks$multip<-as.numeric(stocks$percent)+1
stocks$year<-as.numeric(stocks$year)
stocks$real<-as.numeric(stocks$real)
stocks$percent<-as.numeric(stocks$percent)
# write.table(stocks,"returns.csv",sep=",")
ggplot(subset(stocks, year<=40),aes(x=year,y=multip),na.rm=T)+
# geom_boxplot(outlier.shape=NA,coef=0,fatten=0,fill="steelblue",color=NA)+
# geom_jitter(color="limegreen",alpha=.05,width=1,group=year)+
geom_path(aes(group=inv.date),color="limegreen",alpha=.05)+
# Add a trackline for investment date on line below:
# geom_path(data=subset(stocks, inv.date=="1942-01-01" & year<=50),aes(group=inv.date),color="black")+
stat_summary(fun.y="mean",colour="black",geom="line")+
labs(title="Returns After Investing",
subtitle="Buy and Hold Strategy",
x="Years Invested in US Stocks",
y="Cash Multiplier (After Inflation and Dividends)",
caption="Created by /u/zonination")+
scale_y_log10(breaks=2^c(-3:15),
# Force character, because otherwise the plot shows extra
# `.00` where not wanted.
labels=as.character(2^c(-3:15)))+
scale_x_continuous(breaks=seq(0,200,5))+
z_theme()
ggsave("returns-40yr.png",height=9,width=16,dpi=100,type="cairo-png")
```
|
/content/code_sandbox/stocks.R
|
unknown
| 2016-06-23T18:12:14
| 2024-08-09T22:43:39
|
investing
|
zonination/investing
| 1,737
| 1,213
|
```unknown
# Set working directory, and import libraries:
setwd("~/Dropbox/R/Stock Market")
library(ggplot2)
library(scales)
library(lubridate)
source("z_theme.r")
# The following data source:
# I strongly recommend using the github link below, since the sp500 data is
# actively maintained. My data is updated only occasionally
# "path_to_url"
sp500<-read.csv("stocks.csv", stringsAsFactors=FALSE)
# Doing stuff with dates:
# Reformatting the dates to make it readable by the system.
sp500$Date<-as.Date(sp500$Date,"%Y-%m-%d")
# S&P 500 was started in 1923; prior history is from Shiller. If you
# only want the "real" sp500 values, uncomment the line below:
# sp500<-subset(sp500,sp500$Date >= as.Date("1926-01-01","%Y-%m-%d"))
#Calculate real returns (Reinvested dividends)
sp500$real.return <- 1 # Start with initial conditions. I invest one dollar at the beginning of the stock market.
for(r in 2:nrow(sp500)){
sp500$real.return[r]<-
# Start with previous value:
sp500$real.return[r-1]*
# Multiply it by the % change in stock value in the last month:
(((sp500$Real.Price[r]-sp500$Real.Price[r-1])/
(sp500$Real.Price[r-1]))+1)+
# Finally, add last month's dividends to the party; they get reinvested:
(sp500$Real.Dividend[r-1]/sp500$Real.Price[r-1])*
(sp500$real.return[r-1]/12)
}
# A quick plot to show Real Index
# ggplot(sp500,aes(Date,real.return))+
# geom_line()+
# scale_y_log10()
# A quick visual of the history
# ggplot(sp500,aes(Date,SP500/Consumer.Price.Index))+
# geom_line()+
# scale_y_log10()+
# geom_smooth(method="lm")
# Master Loop
names(stocks)<-c("year","real","percent","inv.year")
for(f in 1:40){
sp500$future.f<-NA #Future S&P Price
sp500$cpi.f <- NA #Future CPI
sp500$future.r <- NA #Future Real Returns
for(n in (f*12+1):nrow(sp500)){
# Get values for "f" years in the future
sp500$future.f[n-f*12] <- sp500$SP500[n] # Work our Future S&P Price into its own column
sp500$cpi.f[n-f*12] <- sp500$Consumer.Price.Index[n] # Work the Future CPI into its own column
sp500$future.r[n-f*12] <- sp500$real.return[n] # Work the Real Returns into its own column
}
# Scatterplot for Gains vs. Date of Investment
# if(f<10){png(file=paste("geom_point0",f,".png",sep=""), width=700, height=500)} #Append a 0 to the file number to prevent issues when meshing images into gifs.
# else{png(file=paste("geom_point",f,".png",sep=""), width=700, height=500) }
# print(
# ggplot(sp500,aes(Date,
# #Formula for nominal % Return
# (future.f - SP500) /
# (SP500)
# ))+
# geom_point(alpha=.5,color="limegreen",size=3)+
# ggtitle("Gains S&P500 (Experimental ONLY)")+
# xlab("Date of investment")+
# ylab(paste("Returns after",f,"years of investing"))+
# geom_hline(yintercept=
# mean(
# (sp500$future.f-sp500$SP500)/sp500$SP500,
# na.rm=TRUE)
# ,linetype=4)+
# scale_y_continuous(limits=c(-5,30),labels=percent)+
# geom_rug(sides="r",size=1,alpha=.2,color="limegreen")
# )
# print(paste("Scatterplot",f,"complete."))
# dev.off()
#Scatterplot for Real Return vs. Date of Investment
if(f<10){png(file=paste("geom_real0",f,".png",sep=""), width=700, height=500)}
else{png(file=paste("geom_real",f,".png",sep=""), width=700, height=500) }
print(
ggplot(sp500,aes(Date,
#Formula for % Return, +1 to make it cash multiplier
1+(future.r - real.return) /
(real.return)
))+
geom_point(alpha=.5,color="limegreen",size=2)+
ggtitle("Real Returns for the US Stock Market")+
xlab("Date of investment")+
ylab(paste("Cash Multiplier after",f,"years of investing"))+
geom_hline(yintercept=
mean(
1+(sp500$future.r-sp500$real.return)/sp500$real.return,
na.rm=TRUE)
,linetype=4,alpha=.3)+
scale_y_log10(limits=2^c(-2,6),breaks=2^c(-3:15),labels=as.character(2^c(-3:15)))+
geom_rug(sides="r",size=.5,alpha=.1,color="limegreen")+
z_theme()
)
print(paste("Realplot",f,"complete."))
dev.off()
# #Histogram for Gains !!! REPLACED BY GEOM_RUG() IN ABOVE PLOT
# if(f<10){png(file=paste("geom_histogram0",f,".png",sep=""), width=700, height=500)}
# else{png(file=paste("geom_histogram",f,".png",sep=""), width=700, height=500) }
# print(
# ggplot(sp500,aes(
# #Formula for nominal % Return
# (future.r - real.return) /
# real.return
# ))+
# geom_vline(xintercept=
# mean(
# (sp500$future.r-sp500$real.return)/sp500$real.return,
# na.rm=TRUE)
# ,linetype=4,alpha=.3)+
# geom_histogram(alpha=.5,fill="limegreen")+
# ggtitle("Gains S&P500 (Experimental Data)")+
# xlab(paste("Returns after",f,"years of investing"))+
# ylab(paste("Number of Occurrences"))+
# scale_y_continuous(breaks=NULL)+
# scale_x_continuous(limits=c(-2,50),labels=percent)+
# z_theme()
# )
# print(paste("Histogram",f,"complete."))
# dev.off()
}
system("convert -delay 10 geom_real*.png real.gif")
# system("convert -delay 10 geom_hist*.png histoblob.gif")
# system("rm geom*.png") #Works only on Linux and Mac
```
|
/content/code_sandbox/altplots/stocks-anim.R
|
unknown
| 2016-06-23T18:12:14
| 2024-08-09T22:43:39
|
investing
|
zonination/investing
| 1,737
| 1,642
|
```unknown
.eslintrc.js
dist/
node_modules
example/
scripts/
app.plugin.js
fetchWindowsCapabilites.js
mock.js
react-native.config.js
```
|
/content/code_sandbox/.eslintignore
|
unknown
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 35
|
```javascript
const {
PERMISSIONS: {ANDROID},
} = require('./dist/commonjs/permissions.android');
const {
PERMISSIONS: {IOS},
} = require('./dist/commonjs/permissions.ios');
const {
PERMISSIONS: {WINDOWS},
} = require('./dist/commonjs/permissions.windows');
const {RESULTS} = require('./dist/commonjs/results');
const PERMISSIONS = {ANDROID, IOS, WINDOWS};
export {PERMISSIONS, RESULTS};
export const openPhotoPicker = jest.fn(async () => {});
export const openSettings = jest.fn(async () => {});
export const check = jest.fn(async (permission) => RESULTS.GRANTED);
export const request = jest.fn(async (permission) => RESULTS.GRANTED);
export const checkLocationAccuracy = jest.fn(async () => 'full');
export const requestLocationAccuracy = jest.fn(async (options) => 'full');
const notificationOptions = [
'alert',
'badge',
'sound',
'carPlay',
'criticalAlert',
'provisional',
'providesAppSettings',
];
const notificationSettings = {
alert: true,
badge: true,
sound: true,
carPlay: true,
criticalAlert: true,
provisional: true,
providesAppSettings: true,
lockScreen: true,
notificationCenter: true,
};
export const checkNotifications = jest.fn(async () => ({
status: RESULTS.GRANTED,
settings: notificationSettings,
}));
export const requestNotifications = jest.fn(async (options) => ({
status: RESULTS.GRANTED,
settings: options
.filter((option) => notificationOptions.includes(option))
.reduce((acc, option) => ({...acc, [option]: true}), {
lockScreen: true,
notificationCenter: true,
}),
}));
export const checkMultiple = jest.fn(async (permissions) =>
permissions.reduce((acc, permission) => ({...acc, [permission]: RESULTS.GRANTED}), {}),
);
export const requestMultiple = jest.fn(async (permissions) =>
permissions.reduce((acc, permission) => ({...acc, [permission]: RESULTS.GRANTED}), {}),
);
export default {
PERMISSIONS,
RESULTS,
check,
checkLocationAccuracy,
checkMultiple,
checkNotifications,
openPhotoPicker,
openSettings,
request,
requestLocationAccuracy,
requestMultiple,
requestNotifications,
};
```
|
/content/code_sandbox/mock.js
|
javascript
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 496
|
```ruby
require "json"
package = JSON.parse(File.read(File.join(__dir__, "package.json")))
Pod::Spec.new do |s|
s.name = "RNPermissions"
s.version = package["version"]
s.license = package["license"]
s.summary = package["description"]
s.author = package["author"]
s.homepage = package["homepage"]
s.platforms = { :ios => "12.4", :tvos => "12.4" }
s.requires_arc = true
s.source = { :git => package["repository"]["url"], :tag => s.version }
s.source_files = "ios/*.{h,mm}"
# s.frameworks = <frameworks>
# s.resource_bundles = <resource_bundles>
if ENV['RCT_NEW_ARCH_ENABLED'] == "1" then
install_modules_dependencies(s)
else
s.dependency "React-Core"
end
end
```
|
/content/code_sandbox/RNPermissions.podspec
|
ruby
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 211
|
```javascript
const path = require('path');
const pkg = require('../package.json');
const {getDefaultConfig, mergeConfig} = require('@react-native/metro-config');
const escape = require('escape-string-regexp');
const exclusionList = require('metro-config/src/defaults/exclusionList');
const peerDependencies = Object.keys(pkg.peerDependencies);
const root = path.resolve(__dirname, '..');
const projectNodeModules = path.join(__dirname, 'node_modules');
const rootNodeModules = path.join(root, 'node_modules');
// We need to make sure that only one version is loaded for peerDependencies
// So we block them at the root, and alias them to the versions in example's node_modules
const blacklistRE = exclusionList(
peerDependencies.map((name) => new RegExp(`^${escape(path.join(rootNodeModules, name))}\\/.*$`)),
);
const extraNodeModules = peerDependencies.reduce((acc, name) => {
acc[name] = path.join(projectNodeModules, name);
return acc;
}, {});
/**
* Metro configuration
* path_to_url
*
* @type {import('metro-config').MetroConfig}
*/
const config = {
projectRoot: __dirname,
watchFolders: [root],
resolver: {blacklistRE, extraNodeModules},
};
module.exports = mergeConfig(getDefaultConfig(__dirname), config);
```
|
/content/code_sandbox/example/metro.config.js
|
javascript
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 278
|
```javascript
// Fetch list of Windows UWP App capabilites from the Microsoft docs
// The names of individual capabilites are in <strong> tag and follow camelCase
const https = require('https');
const {EOL} = require('os');
https.get(
'path_to_url
(res) => {
res.setEncoding('utf8');
let data = '';
res.on('error', ({message}) => {
console.error(message);
process.exit(-1);
});
res.on('data', (chunk) => {
data += chunk;
});
res.on('end', () => parse(data));
},
);
function parse(data) {
const names = new Set();
for (const match of data.match(/<strong>[a-z]+[a-zA-Z\.]*<\/strong>/gm)) {
names.add(
match.substr('<strong>'.length, match.length - '<strong>'.length - '</strong>'.length),
);
}
const results = [];
for (const name of names) {
let constName = '';
for (let i = 0; i < name.length; ++i) {
const char = name.charAt(i);
if (char === char.toUpperCase()) {
constName += '_';
}
constName += char.toUpperCase();
}
constName = constName.replace('WI_FI', 'WIFI');
constName = constName.replace('VO_I_P', 'VOIP');
results.push(`${constName}: 'windows.permission.${name}',`);
}
console.log(results.sort().join(EOL));
}
```
|
/content/code_sandbox/fetchWindowsCapabilites.js
|
javascript
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 336
|
```javascript
module.exports = require('./dist/commonjs/expo');
```
|
/content/code_sandbox/app.plugin.js
|
javascript
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 12
|
```javascript
'use strict';
module.exports = {
root: true,
parser: '@typescript-eslint/parser',
plugins: ['@typescript-eslint', 'react', 'react-hooks'],
env: {
es6: true,
},
parserOptions: {
project: './tsconfig.json',
ecmaFeatures: {jsx: true},
ecmaVersion: 2018,
sourceType: 'module',
},
settings: {
react: {version: 'detect'},
},
globals: {
__DEV__: true,
__dirname: false,
__fbBatchedBridgeConfig: false,
alert: false,
cancelAnimationFrame: false,
cancelIdleCallback: false,
clearImmediate: true,
clearInterval: false,
clearTimeout: false,
console: false,
document: false,
ErrorUtils: false,
escape: false,
Event: false,
EventTarget: false,
exports: false,
fetch: false,
FormData: false,
global: false,
Headers: false,
Intl: false,
Map: true,
module: false,
navigator: false,
process: false,
Promise: true,
requestAnimationFrame: true,
requestIdleCallback: true,
require: false,
Set: true,
setImmediate: true,
setInterval: false,
setTimeout: false,
URL: false,
URLSearchParams: false,
WebSocket: true,
window: false,
XMLHttpRequest: false,
},
rules: {
// path_to_url
'@typescript-eslint/ban-ts-comment': 'off',
'@typescript-eslint/ban-ts-ignore': 'off',
'@typescript-eslint/ban-types': 'off',
'@typescript-eslint/camelcase': 'off',
'@typescript-eslint/explicit-module-boundary-types': 'off',
'@typescript-eslint/no-empty-function': 'off',
'@typescript-eslint/no-explicit-any': 'off',
'@typescript-eslint/no-use-before-define': 'off',
'@typescript-eslint/no-var-requires': 'off',
'@typescript-eslint/no-unused-vars': [
'error',
{argsIgnorePattern: '^_', ignoreRestSiblings: true},
],
// path_to_url
'react/display-name': 'off',
'react/prop-types': 'off',
// path_to_url
'react-hooks/rules-of-hooks': 'error',
'react-hooks/exhaustive-deps': 'error',
},
};
```
|
/content/code_sandbox/.eslintrc.js
|
javascript
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 524
|
```javascript
import React from 'react';
import {AppRegistry} from 'react-native';
import {Provider as PaperProvider} from 'react-native-paper';
import {name as appName} from './app.json';
import {App} from './src/App';
let Main = () => (
<PaperProvider>
<App />
</PaperProvider>
);
AppRegistry.registerComponent(appName, () => Main);
```
|
/content/code_sandbox/example/index.js
|
javascript
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 82
|
```javascript
const path = require('path');
const pkg = require('../package.json');
const resolverConfig = {
extensions: ['.ts', '.tsx', '.js', '.jsx', '.json'],
alias: {[pkg.name]: path.resolve(__dirname, '../src')},
};
module.exports = {
presets: ['module:@react-native/babel-preset'],
plugins: [['module-resolver', resolverConfig]],
};
```
|
/content/code_sandbox/example/babel.config.js
|
javascript
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 85
|
```unknown
save-exact true
```
|
/content/code_sandbox/example/.yarnrc
|
unknown
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 6
|
```unknown
def node_require(script)
# Resolve script with node to allow for hoisting
require Pod::Executable.execute_command('node', ['-p',
"require.resolve(
'#{script}',
{paths: [process.argv[1]]},
)", __dir__]).strip
end
node_require('react-native/scripts/react_native_pods.rb')
node_require('react-native-permissions/scripts/setup.rb')
platform :ios, min_ios_version_supported
prepare_react_native_project!
setup_permissions([
'AppTrackingTransparency',
'Bluetooth',
'Calendars',
'CalendarsWriteOnly',
'Camera',
'Contacts',
'FaceID',
'LocationAccuracy',
'LocationAlways',
'LocationWhenInUse',
'MediaLibrary',
'Microphone',
'Motion',
'Notifications',
'PhotoLibrary',
'PhotoLibraryAddOnly',
'Reminders',
# 'Siri',
'SpeechRecognition',
'StoreKit',
])
linkage = ENV['USE_FRAMEWORKS']
if linkage != nil
Pod::UI.puts "Configuring Pod with #{linkage}ally linked Frameworks".green
use_frameworks! :linkage => linkage.to_sym
end
target 'RNPermissionsExample' do
config = use_native_modules!
use_react_native!(
:path => config[:reactNativePath],
# An absolute path to your application root.
:app_path => "#{Pod::Config.instance.installation_root}/.."
)
post_install do |installer|
# path_to_url#L197-L202
react_native_post_install(
installer,
config[:reactNativePath],
:mac_catalyst_enabled => false,
# :ccache_enabled => true
)
end
end
```
|
/content/code_sandbox/example/ios/Podfile
|
unknown
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 378
|
```unknown
# This `.xcode.env` file is versioned and is used to source the environment
# used when running script phases inside Xcode.
# To customize your local environment, you can create an `.xcode.env.local`
# file that is not versioned.
# NODE_BINARY variable contains the PATH to the node executable.
#
# Customize the NODE_BINARY variable here.
# For example, to use nvm with brew, add the following line
# . "$(brew --prefix nvm)/nvm.sh" --no-use
export NODE_BINARY=$(command -v node)
```
|
/content/code_sandbox/example/ios/.xcode.env
|
unknown
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 118
|
```unknown
// !$*UTF8*$!
{
archiveVersion = 1;
classes = {
};
objectVersion = 54;
objects = {
/* Begin PBXBuildFile section */
0C80B921A6F3F58F76C31292 /* libPods-RNPermissionsExample.a in Frameworks */ = {isa = PBXBuildFile; fileRef = 5DCACB8F33CDC322A6C60F78 /* libPods-RNPermissionsExample.a */; };
13B07FBC1A68108700A75B9A /* AppDelegate.mm in Sources */ = {isa = PBXBuildFile; fileRef = 13B07FB01A68108700A75B9A /* AppDelegate.mm */; };
13B07FBF1A68108700A75B9A /* Images.xcassets in Resources */ = {isa = PBXBuildFile; fileRef = 13B07FB51A68108700A75B9A /* Images.xcassets */; };
13B07FC11A68108700A75B9A /* main.m in Sources */ = {isa = PBXBuildFile; fileRef = 13B07FB71A68108700A75B9A /* main.m */; };
77E672C44EF71B10186D085E /* PrivacyInfo.xcprivacy in Resources */ = {isa = PBXBuildFile; fileRef = 2D996448BBA154ABC11F083E /* PrivacyInfo.xcprivacy */; };
81AB9BB82411601600AC10FF /* LaunchScreen.storyboard in Resources */ = {isa = PBXBuildFile; fileRef = 81AB9BB72411601600AC10FF /* LaunchScreen.storyboard */; };
/* End PBXBuildFile section */
/* Begin PBXFileReference section */
13B07F961A680F5B00A75B9A /* RNPermissionsExample.app */ = {isa = PBXFileReference; explicitFileType = wrapper.application; includeInIndex = 0; path = RNPermissionsExample.app; sourceTree = BUILT_PRODUCTS_DIR; };
13B07FAF1A68108700A75B9A /* AppDelegate.h */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = sourcecode.c.h; name = AppDelegate.h; path = RNPermissionsExample/AppDelegate.h; sourceTree = "<group>"; };
13B07FB01A68108700A75B9A /* AppDelegate.mm */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = sourcecode.cpp.objcpp; name = AppDelegate.mm; path = RNPermissionsExample/AppDelegate.mm; sourceTree = "<group>"; };
13B07FB51A68108700A75B9A /* Images.xcassets */ = {isa = PBXFileReference; lastKnownFileType = folder.assetcatalog; name = Images.xcassets; path = RNPermissionsExample/Images.xcassets; sourceTree = "<group>"; };
13B07FB61A68108700A75B9A /* Info.plist */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = text.plist.xml; name = Info.plist; path = RNPermissionsExample/Info.plist; sourceTree = "<group>"; };
13B07FB71A68108700A75B9A /* main.m */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = sourcecode.c.objc; name = main.m; path = RNPermissionsExample/main.m; sourceTree = "<group>"; };
2D996448BBA154ABC11F083E /* PrivacyInfo.xcprivacy */ = {isa = PBXFileReference; includeInIndex = 1; lastKnownFileType = text.xml; name = PrivacyInfo.xcprivacy; path = RNPermissionsExample/PrivacyInfo.xcprivacy; sourceTree = "<group>"; };
3B4392A12AC88292D35C810B /* Pods-RNPermissionsExample.debug.xcconfig */ = {isa = PBXFileReference; includeInIndex = 1; lastKnownFileType = text.xcconfig; name = "Pods-RNPermissionsExample.debug.xcconfig"; path = "Target Support Files/Pods-RNPermissionsExample/Pods-RNPermissionsExample.debug.xcconfig"; sourceTree = "<group>"; };
5709B34CF0A7D63546082F79 /* Pods-RNPermissionsExample.release.xcconfig */ = {isa = PBXFileReference; includeInIndex = 1; lastKnownFileType = text.xcconfig; name = "Pods-RNPermissionsExample.release.xcconfig"; path = "Target Support Files/Pods-RNPermissionsExample/Pods-RNPermissionsExample.release.xcconfig"; sourceTree = "<group>"; };
5DCACB8F33CDC322A6C60F78 /* libPods-RNPermissionsExample.a */ = {isa = PBXFileReference; explicitFileType = archive.ar; includeInIndex = 0; path = "libPods-RNPermissionsExample.a"; sourceTree = BUILT_PRODUCTS_DIR; };
81AB9BB72411601600AC10FF /* LaunchScreen.storyboard */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = file.storyboard; name = LaunchScreen.storyboard; path = RNPermissionsExample/LaunchScreen.storyboard; sourceTree = "<group>"; };
ED297162215061F000B7C4FE /* JavaScriptCore.framework */ = {isa = PBXFileReference; lastKnownFileType = wrapper.framework; name = JavaScriptCore.framework; path = System/Library/Frameworks/JavaScriptCore.framework; sourceTree = SDKROOT; };
/* End PBXFileReference section */
/* Begin PBXFrameworksBuildPhase section */
13B07F8C1A680F5B00A75B9A /* Frameworks */ = {
isa = PBXFrameworksBuildPhase;
buildActionMask = 2147483647;
files = (
0C80B921A6F3F58F76C31292 /* libPods-RNPermissionsExample.a in Frameworks */,
);
runOnlyForDeploymentPostprocessing = 0;
};
/* End PBXFrameworksBuildPhase section */
/* Begin PBXGroup section */
13B07FAE1A68108700A75B9A /* RNPermissionsExample */ = {
isa = PBXGroup;
children = (
13B07FAF1A68108700A75B9A /* AppDelegate.h */,
13B07FB01A68108700A75B9A /* AppDelegate.mm */,
13B07FB51A68108700A75B9A /* Images.xcassets */,
13B07FB61A68108700A75B9A /* Info.plist */,
81AB9BB72411601600AC10FF /* LaunchScreen.storyboard */,
13B07FB71A68108700A75B9A /* main.m */,
2D996448BBA154ABC11F083E /* PrivacyInfo.xcprivacy */,
);
name = RNPermissionsExample;
sourceTree = "<group>";
};
2D16E6871FA4F8E400B85C8A /* Frameworks */ = {
isa = PBXGroup;
children = (
ED297162215061F000B7C4FE /* JavaScriptCore.framework */,
5DCACB8F33CDC322A6C60F78 /* libPods-RNPermissionsExample.a */,
);
name = Frameworks;
sourceTree = "<group>";
};
832341AE1AAA6A7D00B99B32 /* Libraries */ = {
isa = PBXGroup;
children = (
);
name = Libraries;
sourceTree = "<group>";
};
83CBB9F61A601CBA00E9B192 = {
isa = PBXGroup;
children = (
13B07FAE1A68108700A75B9A /* RNPermissionsExample */,
832341AE1AAA6A7D00B99B32 /* Libraries */,
83CBBA001A601CBA00E9B192 /* Products */,
2D16E6871FA4F8E400B85C8A /* Frameworks */,
BBD78D7AC51CEA395F1C20DB /* Pods */,
);
indentWidth = 2;
sourceTree = "<group>";
tabWidth = 2;
usesTabs = 0;
};
83CBBA001A601CBA00E9B192 /* Products */ = {
isa = PBXGroup;
children = (
13B07F961A680F5B00A75B9A /* RNPermissionsExample.app */,
);
name = Products;
sourceTree = "<group>";
};
BBD78D7AC51CEA395F1C20DB /* Pods */ = {
isa = PBXGroup;
children = (
3B4392A12AC88292D35C810B /* Pods-RNPermissionsExample.debug.xcconfig */,
5709B34CF0A7D63546082F79 /* Pods-RNPermissionsExample.release.xcconfig */,
);
path = Pods;
sourceTree = "<group>";
};
/* End PBXGroup section */
/* Begin PBXNativeTarget section */
13B07F861A680F5B00A75B9A /* RNPermissionsExample */ = {
isa = PBXNativeTarget;
buildConfigurationList = 13B07F931A680F5B00A75B9A /* Build configuration list for PBXNativeTarget "RNPermissionsExample" */;
buildPhases = (
C38B50BA6285516D6DCD4F65 /* [CP] Check Pods Manifest.lock */,
13B07F871A680F5B00A75B9A /* Sources */,
13B07F8C1A680F5B00A75B9A /* Frameworks */,
13B07F8E1A680F5B00A75B9A /* Resources */,
00DD1BFF1BD5951E006B06BC /* Bundle React Native code and images */,
00EEFC60759A1932668264C0 /* [CP] Embed Pods Frameworks */,
E235C05ADACE081382539298 /* [CP] Copy Pods Resources */,
);
buildRules = (
);
dependencies = (
);
name = RNPermissionsExample;
productName = RNPermissionsExample;
productReference = 13B07F961A680F5B00A75B9A /* RNPermissionsExample.app */;
productType = "com.apple.product-type.application";
};
/* End PBXNativeTarget section */
/* Begin PBXProject section */
83CBB9F71A601CBA00E9B192 /* Project object */ = {
isa = PBXProject;
attributes = {
LastUpgradeCheck = 1210;
TargetAttributes = {
13B07F861A680F5B00A75B9A = {
LastSwiftMigration = 1120;
};
};
};
buildConfigurationList = 83CBB9FA1A601CBA00E9B192 /* Build configuration list for PBXProject "RNPermissionsExample" */;
compatibilityVersion = "Xcode 12.0";
developmentRegion = en;
hasScannedForEncodings = 0;
knownRegions = (
en,
Base,
);
mainGroup = 83CBB9F61A601CBA00E9B192;
productRefGroup = 83CBBA001A601CBA00E9B192 /* Products */;
projectDirPath = "";
projectRoot = "";
targets = (
13B07F861A680F5B00A75B9A /* RNPermissionsExample */,
);
};
/* End PBXProject section */
/* Begin PBXResourcesBuildPhase section */
13B07F8E1A680F5B00A75B9A /* Resources */ = {
isa = PBXResourcesBuildPhase;
buildActionMask = 2147483647;
files = (
81AB9BB82411601600AC10FF /* LaunchScreen.storyboard in Resources */,
13B07FBF1A68108700A75B9A /* Images.xcassets in Resources */,
77E672C44EF71B10186D085E /* PrivacyInfo.xcprivacy in Resources */,
);
runOnlyForDeploymentPostprocessing = 0;
};
/* End PBXResourcesBuildPhase section */
/* Begin PBXShellScriptBuildPhase section */
00DD1BFF1BD5951E006B06BC /* Bundle React Native code and images */ = {
isa = PBXShellScriptBuildPhase;
buildActionMask = 2147483647;
files = (
);
inputPaths = (
"$(SRCROOT)/.xcode.env.local",
"$(SRCROOT)/.xcode.env",
);
name = "Bundle React Native code and images";
outputPaths = (
);
runOnlyForDeploymentPostprocessing = 0;
shellPath = /bin/sh;
shellScript = "set -e\n\nWITH_ENVIRONMENT=\"$REACT_NATIVE_PATH/scripts/xcode/with-environment.sh\"\nREACT_NATIVE_XCODE=\"$REACT_NATIVE_PATH/scripts/react-native-xcode.sh\"\n\n/bin/sh -c \"$WITH_ENVIRONMENT $REACT_NATIVE_XCODE\"\n";
};
00EEFC60759A1932668264C0 /* [CP] Embed Pods Frameworks */ = {
isa = PBXShellScriptBuildPhase;
buildActionMask = 2147483647;
files = (
);
inputFileListPaths = (
"${PODS_ROOT}/Target Support Files/Pods-RNPermissionsExample/Pods-RNPermissionsExample-frameworks-${CONFIGURATION}-input-files.xcfilelist",
);
name = "[CP] Embed Pods Frameworks";
outputFileListPaths = (
"${PODS_ROOT}/Target Support Files/Pods-RNPermissionsExample/Pods-RNPermissionsExample-frameworks-${CONFIGURATION}-output-files.xcfilelist",
);
runOnlyForDeploymentPostprocessing = 0;
shellPath = /bin/sh;
shellScript = "\"${PODS_ROOT}/Target Support Files/Pods-RNPermissionsExample/Pods-RNPermissionsExample-frameworks.sh\"\n";
showEnvVarsInLog = 0;
};
C38B50BA6285516D6DCD4F65 /* [CP] Check Pods Manifest.lock */ = {
isa = PBXShellScriptBuildPhase;
buildActionMask = 2147483647;
files = (
);
inputFileListPaths = (
);
inputPaths = (
"${PODS_PODFILE_DIR_PATH}/Podfile.lock",
"${PODS_ROOT}/Manifest.lock",
);
name = "[CP] Check Pods Manifest.lock";
outputFileListPaths = (
);
outputPaths = (
"$(DERIVED_FILE_DIR)/Pods-RNPermissionsExample-checkManifestLockResult.txt",
);
runOnlyForDeploymentPostprocessing = 0;
shellPath = /bin/sh;
shellScript = "diff \"${PODS_PODFILE_DIR_PATH}/Podfile.lock\" \"${PODS_ROOT}/Manifest.lock\" > /dev/null\nif [ $? != 0 ] ; then\n # print error to STDERR\n echo \"error: The sandbox is not in sync with the Podfile.lock. Run 'pod install' or update your CocoaPods installation.\" >&2\n exit 1\nfi\n# This output is used by Xcode 'outputs' to avoid re-running this script phase.\necho \"SUCCESS\" > \"${SCRIPT_OUTPUT_FILE_0}\"\n";
showEnvVarsInLog = 0;
};
E235C05ADACE081382539298 /* [CP] Copy Pods Resources */ = {
isa = PBXShellScriptBuildPhase;
buildActionMask = 2147483647;
files = (
);
inputFileListPaths = (
"${PODS_ROOT}/Target Support Files/Pods-RNPermissionsExample/Pods-RNPermissionsExample-resources-${CONFIGURATION}-input-files.xcfilelist",
);
name = "[CP] Copy Pods Resources";
outputFileListPaths = (
"${PODS_ROOT}/Target Support Files/Pods-RNPermissionsExample/Pods-RNPermissionsExample-resources-${CONFIGURATION}-output-files.xcfilelist",
);
runOnlyForDeploymentPostprocessing = 0;
shellPath = /bin/sh;
shellScript = "\"${PODS_ROOT}/Target Support Files/Pods-RNPermissionsExample/Pods-RNPermissionsExample-resources.sh\"\n";
showEnvVarsInLog = 0;
};
/* End PBXShellScriptBuildPhase section */
/* Begin PBXSourcesBuildPhase section */
13B07F871A680F5B00A75B9A /* Sources */ = {
isa = PBXSourcesBuildPhase;
buildActionMask = 2147483647;
files = (
13B07FBC1A68108700A75B9A /* AppDelegate.mm in Sources */,
13B07FC11A68108700A75B9A /* main.m in Sources */,
);
runOnlyForDeploymentPostprocessing = 0;
};
/* End PBXSourcesBuildPhase section */
/* Begin XCBuildConfiguration section */
13B07F941A680F5B00A75B9A /* Debug */ = {
isa = XCBuildConfiguration;
baseConfigurationReference = 3B4392A12AC88292D35C810B /* Pods-RNPermissionsExample.debug.xcconfig */;
buildSettings = {
ASSETCATALOG_COMPILER_APPICON_NAME = AppIcon;
CLANG_ENABLE_MODULES = YES;
CURRENT_PROJECT_VERSION = 1;
DEVELOPMENT_TEAM = 745449BDR9;
ENABLE_BITCODE = NO;
INFOPLIST_FILE = RNPermissionsExample/Info.plist;
LD_RUNPATH_SEARCH_PATHS = (
"$(inherited)",
"@executable_path/Frameworks",
);
MARKETING_VERSION = 1.0;
OTHER_LDFLAGS = (
"$(inherited)",
"-ObjC",
"-lc++",
);
PRODUCT_BUNDLE_IDENTIFIER = com.zoontek.rnpermissionsexample;
PRODUCT_NAME = RNPermissionsExample;
SWIFT_OPTIMIZATION_LEVEL = "-Onone";
SWIFT_VERSION = 5.0;
VERSIONING_SYSTEM = "apple-generic";
};
name = Debug;
};
13B07F951A680F5B00A75B9A /* Release */ = {
isa = XCBuildConfiguration;
baseConfigurationReference = 5709B34CF0A7D63546082F79 /* Pods-RNPermissionsExample.release.xcconfig */;
buildSettings = {
ASSETCATALOG_COMPILER_APPICON_NAME = AppIcon;
CLANG_ENABLE_MODULES = YES;
CURRENT_PROJECT_VERSION = 1;
DEVELOPMENT_TEAM = 745449BDR9;
INFOPLIST_FILE = RNPermissionsExample/Info.plist;
LD_RUNPATH_SEARCH_PATHS = (
"$(inherited)",
"@executable_path/Frameworks",
);
MARKETING_VERSION = 1.0;
OTHER_LDFLAGS = (
"$(inherited)",
"-ObjC",
"-lc++",
);
PRODUCT_BUNDLE_IDENTIFIER = com.zoontek.rnpermissionsexample;
PRODUCT_NAME = RNPermissionsExample;
SWIFT_VERSION = 5.0;
VERSIONING_SYSTEM = "apple-generic";
};
name = Release;
};
83CBBA201A601CBA00E9B192 /* Debug */ = {
isa = XCBuildConfiguration;
buildSettings = {
ALWAYS_SEARCH_USER_PATHS = NO;
CC = "";
CLANG_ANALYZER_LOCALIZABILITY_NONLOCALIZED = YES;
CLANG_CXX_LANGUAGE_STANDARD = "c++20";
CLANG_CXX_LIBRARY = "libc++";
CLANG_ENABLE_MODULES = YES;
CLANG_ENABLE_OBJC_ARC = YES;
CLANG_WARN_BLOCK_CAPTURE_AUTORELEASING = YES;
CLANG_WARN_BOOL_CONVERSION = YES;
CLANG_WARN_COMMA = YES;
CLANG_WARN_CONSTANT_CONVERSION = YES;
CLANG_WARN_DEPRECATED_OBJC_IMPLEMENTATIONS = YES;
CLANG_WARN_DIRECT_OBJC_ISA_USAGE = YES_ERROR;
CLANG_WARN_EMPTY_BODY = YES;
CLANG_WARN_ENUM_CONVERSION = YES;
CLANG_WARN_INFINITE_RECURSION = YES;
CLANG_WARN_INT_CONVERSION = YES;
CLANG_WARN_NON_LITERAL_NULL_CONVERSION = YES;
CLANG_WARN_OBJC_IMPLICIT_RETAIN_SELF = YES;
CLANG_WARN_OBJC_LITERAL_CONVERSION = YES;
CLANG_WARN_OBJC_ROOT_CLASS = YES_ERROR;
CLANG_WARN_QUOTED_INCLUDE_IN_FRAMEWORK_HEADER = YES;
CLANG_WARN_RANGE_LOOP_ANALYSIS = YES;
CLANG_WARN_STRICT_PROTOTYPES = YES;
CLANG_WARN_SUSPICIOUS_MOVE = YES;
CLANG_WARN_UNREACHABLE_CODE = YES;
CLANG_WARN__DUPLICATE_METHOD_MATCH = YES;
"CODE_SIGN_IDENTITY[sdk=iphoneos*]" = "iPhone Developer";
COPY_PHASE_STRIP = NO;
CXX = "";
ENABLE_STRICT_OBJC_MSGSEND = YES;
ENABLE_TESTABILITY = YES;
"EXCLUDED_ARCHS[sdk=iphonesimulator*]" = "";
GCC_C_LANGUAGE_STANDARD = gnu99;
GCC_DYNAMIC_NO_PIC = NO;
GCC_NO_COMMON_BLOCKS = YES;
GCC_OPTIMIZATION_LEVEL = 0;
GCC_PREPROCESSOR_DEFINITIONS = (
"DEBUG=1",
"$(inherited)",
);
GCC_SYMBOLS_PRIVATE_EXTERN = NO;
GCC_WARN_64_TO_32_BIT_CONVERSION = YES;
GCC_WARN_ABOUT_RETURN_TYPE = YES_ERROR;
GCC_WARN_UNDECLARED_SELECTOR = YES;
GCC_WARN_UNINITIALIZED_AUTOS = YES_AGGRESSIVE;
GCC_WARN_UNUSED_FUNCTION = YES;
GCC_WARN_UNUSED_VARIABLE = YES;
IPHONEOS_DEPLOYMENT_TARGET = 13.4;
LD = "";
LDPLUSPLUS = "";
LD_RUNPATH_SEARCH_PATHS = (
/usr/lib/swift,
"$(inherited)",
);
LIBRARY_SEARCH_PATHS = (
"\"$(SDKROOT)/usr/lib/swift\"",
"\"$(TOOLCHAIN_DIR)/usr/lib/swift/$(PLATFORM_NAME)\"",
"\"$(inherited)\"",
);
MTL_ENABLE_DEBUG_INFO = YES;
ONLY_ACTIVE_ARCH = YES;
OTHER_CPLUSPLUSFLAGS = (
"$(OTHER_CFLAGS)",
"-DFOLLY_NO_CONFIG",
"-DFOLLY_MOBILE=1",
"-DFOLLY_USE_LIBCPP=1",
"-DFOLLY_CFG_NO_COROUTINES=1",
"-DFOLLY_HAVE_CLOCK_GETTIME=1",
);
OTHER_LDFLAGS = (
"$(inherited)",
" ",
);
REACT_NATIVE_PATH = "${PODS_ROOT}/../../node_modules/react-native";
SDKROOT = iphoneos;
USE_HERMES = true;
};
name = Debug;
};
83CBBA211A601CBA00E9B192 /* Release */ = {
isa = XCBuildConfiguration;
buildSettings = {
ALWAYS_SEARCH_USER_PATHS = NO;
CC = "";
CLANG_ANALYZER_LOCALIZABILITY_NONLOCALIZED = YES;
CLANG_CXX_LANGUAGE_STANDARD = "c++20";
CLANG_CXX_LIBRARY = "libc++";
CLANG_ENABLE_MODULES = YES;
CLANG_ENABLE_OBJC_ARC = YES;
CLANG_WARN_BLOCK_CAPTURE_AUTORELEASING = YES;
CLANG_WARN_BOOL_CONVERSION = YES;
CLANG_WARN_COMMA = YES;
CLANG_WARN_CONSTANT_CONVERSION = YES;
CLANG_WARN_DEPRECATED_OBJC_IMPLEMENTATIONS = YES;
CLANG_WARN_DIRECT_OBJC_ISA_USAGE = YES_ERROR;
CLANG_WARN_EMPTY_BODY = YES;
CLANG_WARN_ENUM_CONVERSION = YES;
CLANG_WARN_INFINITE_RECURSION = YES;
CLANG_WARN_INT_CONVERSION = YES;
CLANG_WARN_NON_LITERAL_NULL_CONVERSION = YES;
CLANG_WARN_OBJC_IMPLICIT_RETAIN_SELF = YES;
CLANG_WARN_OBJC_LITERAL_CONVERSION = YES;
CLANG_WARN_OBJC_ROOT_CLASS = YES_ERROR;
CLANG_WARN_QUOTED_INCLUDE_IN_FRAMEWORK_HEADER = YES;
CLANG_WARN_RANGE_LOOP_ANALYSIS = YES;
CLANG_WARN_STRICT_PROTOTYPES = YES;
CLANG_WARN_SUSPICIOUS_MOVE = YES;
CLANG_WARN_UNREACHABLE_CODE = YES;
CLANG_WARN__DUPLICATE_METHOD_MATCH = YES;
"CODE_SIGN_IDENTITY[sdk=iphoneos*]" = "iPhone Developer";
COPY_PHASE_STRIP = YES;
CXX = "";
ENABLE_NS_ASSERTIONS = NO;
ENABLE_STRICT_OBJC_MSGSEND = YES;
"EXCLUDED_ARCHS[sdk=iphonesimulator*]" = "";
GCC_C_LANGUAGE_STANDARD = gnu99;
GCC_NO_COMMON_BLOCKS = YES;
GCC_WARN_64_TO_32_BIT_CONVERSION = YES;
GCC_WARN_ABOUT_RETURN_TYPE = YES_ERROR;
GCC_WARN_UNDECLARED_SELECTOR = YES;
GCC_WARN_UNINITIALIZED_AUTOS = YES_AGGRESSIVE;
GCC_WARN_UNUSED_FUNCTION = YES;
GCC_WARN_UNUSED_VARIABLE = YES;
IPHONEOS_DEPLOYMENT_TARGET = 13.4;
LD = "";
LDPLUSPLUS = "";
LD_RUNPATH_SEARCH_PATHS = (
/usr/lib/swift,
"$(inherited)",
);
LIBRARY_SEARCH_PATHS = (
"\"$(SDKROOT)/usr/lib/swift\"",
"\"$(TOOLCHAIN_DIR)/usr/lib/swift/$(PLATFORM_NAME)\"",
"\"$(inherited)\"",
);
MTL_ENABLE_DEBUG_INFO = NO;
OTHER_CPLUSPLUSFLAGS = (
"$(OTHER_CFLAGS)",
"-DFOLLY_NO_CONFIG",
"-DFOLLY_MOBILE=1",
"-DFOLLY_USE_LIBCPP=1",
"-DFOLLY_CFG_NO_COROUTINES=1",
"-DFOLLY_HAVE_CLOCK_GETTIME=1",
);
OTHER_LDFLAGS = (
"$(inherited)",
" ",
);
REACT_NATIVE_PATH = "${PODS_ROOT}/../../node_modules/react-native";
SDKROOT = iphoneos;
USE_HERMES = true;
VALIDATE_PRODUCT = YES;
};
name = Release;
};
/* End XCBuildConfiguration section */
/* Begin XCConfigurationList section */
13B07F931A680F5B00A75B9A /* Build configuration list for PBXNativeTarget "RNPermissionsExample" */ = {
isa = XCConfigurationList;
buildConfigurations = (
13B07F941A680F5B00A75B9A /* Debug */,
13B07F951A680F5B00A75B9A /* Release */,
);
defaultConfigurationIsVisible = 0;
defaultConfigurationName = Release;
};
83CBB9FA1A601CBA00E9B192 /* Build configuration list for PBXProject "RNPermissionsExample" */ = {
isa = XCConfigurationList;
buildConfigurations = (
83CBBA201A601CBA00E9B192 /* Debug */,
83CBBA211A601CBA00E9B192 /* Release */,
);
defaultConfigurationIsVisible = 0;
defaultConfigurationName = Release;
};
/* End XCConfigurationList section */
};
rootObject = 83CBB9F71A601CBA00E9B192 /* Project object */;
}
```
|
/content/code_sandbox/example/ios/RNPermissionsExample.xcodeproj/project.pbxproj
|
unknown
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 6,378
|
```unknown
<?xml version="1.0" encoding="UTF-8"?>
<Scheme
LastUpgradeVersion = "1210"
version = "1.3">
<BuildAction
parallelizeBuildables = "YES"
buildImplicitDependencies = "YES">
<BuildActionEntries>
<BuildActionEntry
buildForTesting = "YES"
buildForRunning = "YES"
buildForProfiling = "YES"
buildForArchiving = "YES"
buildForAnalyzing = "YES">
<BuildableReference
BuildableIdentifier = "primary"
BlueprintIdentifier = "13B07F861A680F5B00A75B9A"
BuildableName = "RNPermissionsExample.app"
BlueprintName = "RNPermissionsExample"
ReferencedContainer = "container:RNPermissionsExample.xcodeproj">
</BuildableReference>
</BuildActionEntry>
</BuildActionEntries>
</BuildAction>
<TestAction
buildConfiguration = "Debug"
selectedDebuggerIdentifier = "Xcode.DebuggerFoundation.Debugger.LLDB"
selectedLauncherIdentifier = "Xcode.DebuggerFoundation.Launcher.LLDB"
shouldUseLaunchSchemeArgsEnv = "YES">
<Testables>
</Testables>
</TestAction>
<LaunchAction
buildConfiguration = "Debug"
selectedDebuggerIdentifier = "Xcode.DebuggerFoundation.Debugger.LLDB"
selectedLauncherIdentifier = "Xcode.DebuggerFoundation.Launcher.LLDB"
launchStyle = "0"
useCustomWorkingDirectory = "NO"
ignoresPersistentStateOnLaunch = "NO"
debugDocumentVersioning = "YES"
debugServiceExtension = "internal"
allowLocationSimulation = "YES">
<BuildableProductRunnable
runnableDebuggingMode = "0">
<BuildableReference
BuildableIdentifier = "primary"
BlueprintIdentifier = "13B07F861A680F5B00A75B9A"
BuildableName = "RNPermissionsExample.app"
BlueprintName = "RNPermissionsExample"
ReferencedContainer = "container:RNPermissionsExample.xcodeproj">
</BuildableReference>
</BuildableProductRunnable>
</LaunchAction>
<ProfileAction
buildConfiguration = "Release"
shouldUseLaunchSchemeArgsEnv = "YES"
savedToolIdentifier = ""
useCustomWorkingDirectory = "NO"
debugDocumentVersioning = "YES">
<BuildableProductRunnable
runnableDebuggingMode = "0">
<BuildableReference
BuildableIdentifier = "primary"
BlueprintIdentifier = "13B07F861A680F5B00A75B9A"
BuildableName = "RNPermissionsExample.app"
BlueprintName = "RNPermissionsExample"
ReferencedContainer = "container:RNPermissionsExample.xcodeproj">
</BuildableReference>
</BuildableProductRunnable>
</ProfileAction>
<AnalyzeAction
buildConfiguration = "Debug">
</AnalyzeAction>
<ArchiveAction
buildConfiguration = "Release"
revealArchiveInOrganizer = "YES">
</ArchiveAction>
</Scheme>
```
|
/content/code_sandbox/example/ios/RNPermissionsExample.xcodeproj/xcshareddata/xcschemes/RNPermissionsExample.xcscheme
|
unknown
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 677
|
```xml
<?xml version="1.0" encoding="UTF-8"?>
<document type="com.apple.InterfaceBuilder3.CocoaTouch.Storyboard.XIB" version="3.0" toolsVersion="18122" targetRuntime="iOS.CocoaTouch" propertyAccessControl="none" useAutolayout="YES" launchScreen="YES" useTraitCollections="YES" useSafeAreas="YES" colorMatched="YES" initialViewController="01J-lp-oVM">
<device id="retina4_7" orientation="portrait" appearance="light"/>
<dependencies>
<deployment identifier="iOS"/>
<plugIn identifier="com.apple.InterfaceBuilder.IBCocoaTouchPlugin" version="18093"/>
<capability name="Safe area layout guides" minToolsVersion="9.0"/>
<capability name="System colors in document resources" minToolsVersion="11.0"/>
<capability name="documents saved in the Xcode 8 format" minToolsVersion="8.0"/>
</dependencies>
<scenes>
<!--View Controller-->
<scene sceneID="EHf-IW-A2E">
<objects>
<viewController id="01J-lp-oVM" sceneMemberID="viewController">
<view key="view" contentMode="scaleToFill" id="Ze5-6b-2t3">
<rect key="frame" x="0.0" y="0.0" width="375" height="667"/>
<autoresizingMask key="autoresizingMask" widthSizable="YES" heightSizable="YES"/>
<subviews>
<label opaque="NO" clipsSubviews="YES" userInteractionEnabled="NO" contentMode="left" horizontalHuggingPriority="251" verticalHuggingPriority="251" text="react-native-permissions" textAlignment="center" lineBreakMode="middleTruncation" baselineAdjustment="alignBaselines" minimumFontSize="18" translatesAutoresizingMaskIntoConstraints="NO" id="GJd-Yh-RWb">
<rect key="frame" x="21" y="317" width="333" height="33.5"/>
<fontDescription key="fontDescription" type="boldSystem" pointSize="28"/>
<nil key="highlightedColor"/>
</label>
</subviews>
<viewLayoutGuide key="safeArea" id="Bcu-3y-fUS"/>
<color key="backgroundColor" systemColor="systemBackgroundColor"/>
<constraints>
<constraint firstItem="GJd-Yh-RWb" firstAttribute="centerY" secondItem="Ze5-6b-2t3" secondAttribute="centerY" id="GVn-Yq-KwP"/>
<constraint firstItem="GJd-Yh-RWb" firstAttribute="centerX" secondItem="Ze5-6b-2t3" secondAttribute="centerX" id="yAm-Ej-vsW"/>
</constraints>
</view>
</viewController>
<placeholder placeholderIdentifier="IBFirstResponder" id="iYj-Kq-Ea1" userLabel="First Responder" sceneMemberID="firstResponder"/>
</objects>
<point key="canvasLocation" x="52" y="374.66266866566718"/>
</scene>
</scenes>
<resources>
<systemColor name="systemBackgroundColor">
<color white="1" alpha="1" colorSpace="custom" customColorSpace="genericGamma22GrayColorSpace"/>
</systemColor>
</resources>
</document>
```
|
/content/code_sandbox/example/ios/RNPermissionsExample/LaunchScreen.storyboard
|
xml
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 756
|
```xml
#import "AppDelegate.h"
#import <React/RCTBundleURLProvider.h>
@implementation AppDelegate
- (BOOL)application:(UIApplication *)application didFinishLaunchingWithOptions:(NSDictionary *)launchOptions
{
self.moduleName = @"RNPermissionsExample";
// You can add your custom initial props in the dictionary below.
// They will be passed down to the ViewController used by React Native.
self.initialProps = @{};
return [super application:application didFinishLaunchingWithOptions:launchOptions];
}
- (NSURL *)sourceURLForBridge:(RCTBridge *)bridge
{
return [self bundleURL];
}
- (NSURL *)bundleURL
{
#if DEBUG
return [[RCTBundleURLProvider sharedSettings] jsBundleURLForBundleRoot:@"index"];
#else
return [[NSBundle mainBundle] URLForResource:@"main" withExtension:@"jsbundle"];
#endif
}
@end
```
|
/content/code_sandbox/example/ios/RNPermissionsExample/AppDelegate.mm
|
xml
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 175
|
```unknown
<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE plist PUBLIC "-//Apple//DTD PLIST 1.0//EN" "path_to_url">
<plist version="1.0">
<dict>
<key>NSPrivacyAccessedAPITypes</key>
<array>
<dict>
<key>NSPrivacyAccessedAPIType</key>
<string>NSPrivacyAccessedAPICategoryUserDefaults</string>
<key>NSPrivacyAccessedAPITypeReasons</key>
<array>
<string>CA92.1</string>
</array>
</dict>
<dict>
<key>NSPrivacyAccessedAPIType</key>
<string>NSPrivacyAccessedAPICategoryFileTimestamp</string>
<key>NSPrivacyAccessedAPITypeReasons</key>
<array>
<string>C617.1</string>
</array>
</dict>
<dict>
<key>NSPrivacyAccessedAPIType</key>
<string>NSPrivacyAccessedAPICategorySystemBootTime</string>
<key>NSPrivacyAccessedAPITypeReasons</key>
<array>
<string>35F9.1</string>
</array>
</dict>
</array>
<key>NSPrivacyCollectedDataTypes</key>
<array/>
<key>NSPrivacyTracking</key>
<false/>
</dict>
</plist>
```
|
/content/code_sandbox/example/ios/RNPermissionsExample/PrivacyInfo.xcprivacy
|
unknown
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 338
|
```objective-c
#import <RCTAppDelegate.h>
#import <UIKit/UIKit.h>
@interface AppDelegate : RCTAppDelegate
@end
```
|
/content/code_sandbox/example/ios/RNPermissionsExample/AppDelegate.h
|
objective-c
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 22
|
```objective-c
#import <UIKit/UIKit.h>
#import "AppDelegate.h"
int main(int argc, char *argv[])
{
@autoreleasepool {
return UIApplicationMain(argc, argv, nil, NSStringFromClass([AppDelegate class]));
}
}
```
|
/content/code_sandbox/example/ios/RNPermissionsExample/main.m
|
objective-c
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 44
|
```xml
<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE plist PUBLIC "-//Apple//DTD PLIST 1.0//EN" "path_to_url">
<plist version="1.0">
<dict>
<key>CFBundleDevelopmentRegion</key>
<string>en</string>
<key>CFBundleDisplayName</key>
<string>RNPermissionsExample</string>
<key>CFBundleExecutable</key>
<string>$(EXECUTABLE_NAME)</string>
<key>CFBundleIdentifier</key>
<string>$(PRODUCT_BUNDLE_IDENTIFIER)</string>
<key>CFBundleInfoDictionaryVersion</key>
<string>6.0</string>
<key>CFBundleName</key>
<string>$(PRODUCT_NAME)</string>
<key>CFBundlePackageType</key>
<string>APPL</string>
<key>CFBundleShortVersionString</key>
<string>$(MARKETING_VERSION)</string>
<key>CFBundleSignature</key>
<string>????</string>
<key>CFBundleVersion</key>
<string>$(CURRENT_PROJECT_VERSION)</string>
<key>LSRequiresIPhoneOS</key>
<true/>
<key>NSAppTransportSecurity</key>
<dict>
<key>NSAllowsArbitraryLoads</key>
<false/>
<key>NSAllowsLocalNetworking</key>
<true/>
</dict>
<key>NSAppleMusicUsageDescription</key>
<string>Let me use your media library</string>
<key>NSBluetoothAlwaysUsageDescription</key>
<string>Let me use bluetooth</string>
<key>NSBluetoothPeripheralUsageDescription</key>
<string>Let me use bluetooth</string>
<key>NSCalendarsFullAccessUsageDescription</key>
<string>Let me use your calendars</string>
<key>NSCalendarsWriteOnlyAccessUsageDescription</key>
<string>Let me use your calendars</string>
<key>NSCameraUsageDescription</key>
<string>Let me use the camera</string>
<key>NSContactsUsageDescription</key>
<string>Let me use your contacts</string>
<key>NSFaceIDUsageDescription</key>
<string>Let me use FaceID</string>
<key>NSLocationAlwaysAndWhenInUseUsageDescription</key>
<string>Let me use your location, even in background</string>
<key>NSLocationTemporaryUsageDescriptionDictionary</key>
<dict>
<key>full-accuracy</key>
<string>Let me use your precise location temporarily</string>
</dict>
<key>NSLocationWhenInUseUsageDescription</key>
<string>Let me use your location when the app is opened</string>
<key>NSMicrophoneUsageDescription</key>
<string>Let me use the microphone</string>
<key>NSMotionUsageDescription</key>
<string>Let me use your motion data</string>
<key>NSPhotoLibraryAddUsageDescription</key>
<string>Let me add photos</string>
<key>NSPhotoLibraryUsageDescription</key>
<string>Let me use your photo library</string>
<key>NSRemindersFullAccessUsageDescription</key>
<string>Let me use your reminders</string>
<key>NSSpeechRecognitionUsageDescription</key>
<string>Let me use speech recognition</string>
<key>NSUserTrackingUsageDescription</key>
<string>Let me use your ad identifier</string>
<key>UIAppFonts</key>
<array>
<string>MaterialCommunityIcons.ttf</string>
</array>
<key>UIBackgroundModes</key>
<array>
<string>bluetooth-peripheral</string>
<string>location</string>
</array>
<key>UILaunchStoryboardName</key>
<string>LaunchScreen</string>
<key>UIRequiredDeviceCapabilities</key>
<array>
<string>arm64</string>
</array>
<key>UISupportedInterfaceOrientations</key>
<array>
<string>UIInterfaceOrientationPortrait</string>
</array>
<key>UIViewControllerBasedStatusBarAppearance</key>
<false/>
</dict>
</plist>
```
|
/content/code_sandbox/example/ios/RNPermissionsExample/Info.plist
|
xml
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 938
|
```unknown
<?xml version="1.0" encoding="UTF-8"?>
<Workspace
version = "1.0">
<FileRef
location = "group:RNPermissionsExample.xcodeproj">
</FileRef>
<FileRef
location = "group:Pods/Pods.xcodeproj">
</FileRef>
</Workspace>
```
|
/content/code_sandbox/example/ios/RNPermissionsExample.xcworkspace/contents.xcworkspacedata
|
unknown
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 76
|
```xml
<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE plist PUBLIC "-//Apple//DTD PLIST 1.0//EN" "path_to_url">
<plist version="1.0">
<dict>
<key>IDEDidComputeMac32BitWarning</key>
<true/>
</dict>
</plist>
```
|
/content/code_sandbox/example/ios/RNPermissionsExample.xcworkspace/xcshareddata/IDEWorkspaceChecks.plist
|
xml
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 72
|
```xml
import * as React from 'react';
import {Platform, ScrollView, StatusBar, View} from 'react-native';
import {Appbar, Button, Divider, Snackbar, Text} from 'react-native-paper';
import RNPermissions, {NotificationOption, PERMISSIONS, Permission} from 'react-native-permissions';
// eslint-disable-next-line @typescript-eslint/no-unused-vars
const {SIRI, ...PERMISSIONS_IOS} = PERMISSIONS.IOS; // remove siri (certificate required)
const PLATFORM_PERMISSIONS = Platform.select<
typeof PERMISSIONS.ANDROID | typeof PERMISSIONS_IOS | typeof PERMISSIONS.WINDOWS | {}
>({
android: PERMISSIONS.ANDROID,
ios: PERMISSIONS_IOS,
windows: PERMISSIONS.WINDOWS,
default: {},
});
const PERMISSIONS_VALUES: Permission[] = Object.values(PLATFORM_PERMISSIONS);
export const App = () => {
const [snackbarContent, setSnackbarContent] = React.useState<string>();
const showSnackbar = (title: string, response: unknown) =>
setSnackbarContent(title + '\n\n' + JSON.stringify(response, null, 2));
const hideSnackbar = () => setSnackbarContent(undefined);
return (
<View style={{flex: 1}}>
<StatusBar barStyle="dark-content" />
<Appbar.Header>
<Appbar.Content title="Permissions app" />
{Platform.OS === 'ios' && (
<Appbar.Action
icon="image-multiple"
onPress={() => {
RNPermissions.openPhotoPicker().catch((error) => {
console.error(error);
});
}}
/>
)}
{Platform.OS === 'ios' && (
<Appbar.Action
icon="crosshairs-question"
onPress={() => {
RNPermissions.requestLocationAccuracy({
purposeKey: 'full-accuracy',
}).then((accuracy) => {
console.warn({accuracy});
});
}}
/>
)}
<Appbar.Action
icon="cellphone-cog"
onPress={() => {
RNPermissions.openSettings();
}}
/>
</Appbar.Header>
<ScrollView>
{PERMISSIONS_VALUES.map((item) => {
const parts = item.split('.');
const name = parts[parts.length - 1];
return (
<React.Fragment key={item}>
<View style={{padding: 20}}>
<Text numberOfLines={1} variant="bodyMedium">
{name}
</Text>
<View style={{flexDirection: 'row', marginTop: 12}}>
<Button
icon="eye-outline"
mode="contained"
onPress={() => {
RNPermissions.check(item)
.then((status) => {
showSnackbar(`check(${name})`, status);
})
.catch((error) => {
console.error(error);
});
}}
>
Check
</Button>
<View style={{width: 8}} />
<Button
icon="help-circle-outline"
mode="contained"
onPress={() => {
RNPermissions.request(item)
.then((status) => {
showSnackbar(`request(${name})`, status);
})
.catch((error) => {
console.error(error);
});
}}
>
Request
</Button>
</View>
</View>
<Divider />
</React.Fragment>
);
})}
<View style={{padding: 20, paddingBottom: 32}}>
<Text numberOfLines={1} variant="bodyMedium">
NOTIFICATIONS
</Text>
<View style={{flexDirection: 'row', marginTop: 12}}>
<Button
icon="eye-outline"
mode="contained"
onPress={() => {
RNPermissions.checkNotifications()
.then((response) => {
showSnackbar('checkNotifications()', response);
})
.catch((error) => {
console.error(error);
});
}}
>
Check
</Button>
<View style={{width: 8}} />
<Button
icon="help-circle-outline"
mode="contained"
onPress={() => {
const options: NotificationOption[] = ['alert', 'badge', 'sound'];
RNPermissions.requestNotifications(options)
.then((response) => {
showSnackbar(
`requestNotifications([${options
.map((option) => `"${option}"`)
.join(', ')}])`,
response,
);
})
.catch((error) => {
console.error(error);
});
}}
>
Request
</Button>
</View>
</View>
</ScrollView>
<Snackbar
visible={snackbarContent != null}
duration={10000}
onDismiss={hideSnackbar}
action={{
label: 'Hide',
onPress: hideSnackbar,
}}
>
{snackbarContent}
</Snackbar>
</View>
);
};
```
|
/content/code_sandbox/example/src/App.tsx
|
xml
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 1,041
|
```json
PODS:
- boost (1.83.0)
- DoubleConversion (1.1.6)
- FBLazyVector (0.74.2)
- fmt (9.1.0)
- glog (0.3.5)
- hermes-engine (0.74.2):
- hermes-engine/Pre-built (= 0.74.2)
- hermes-engine/Pre-built (0.74.2)
- RCT-Folly (2024.01.01.00):
- boost
- DoubleConversion
- fmt (= 9.1.0)
- glog
- RCT-Folly/Default (= 2024.01.01.00)
- RCT-Folly/Default (2024.01.01.00):
- boost
- DoubleConversion
- fmt (= 9.1.0)
- glog
- RCT-Folly/Fabric (2024.01.01.00):
- boost
- DoubleConversion
- fmt (= 9.1.0)
- glog
- RCTDeprecation (0.74.2)
- RCTRequired (0.74.2)
- RCTTypeSafety (0.74.2):
- FBLazyVector (= 0.74.2)
- RCTRequired (= 0.74.2)
- React-Core (= 0.74.2)
- React (0.74.2):
- React-Core (= 0.74.2)
- React-Core/DevSupport (= 0.74.2)
- React-Core/RCTWebSocket (= 0.74.2)
- React-RCTActionSheet (= 0.74.2)
- React-RCTAnimation (= 0.74.2)
- React-RCTBlob (= 0.74.2)
- React-RCTImage (= 0.74.2)
- React-RCTLinking (= 0.74.2)
- React-RCTNetwork (= 0.74.2)
- React-RCTSettings (= 0.74.2)
- React-RCTText (= 0.74.2)
- React-RCTVibration (= 0.74.2)
- React-callinvoker (0.74.2)
- React-Codegen (0.74.2):
- DoubleConversion
- glog
- hermes-engine
- RCT-Folly
- RCTRequired
- RCTTypeSafety
- React-Core
- React-debug
- React-Fabric
- React-FabricImage
- React-featureflags
- React-graphics
- React-jsi
- React-jsiexecutor
- React-NativeModulesApple
- React-rendererdebug
- React-utils
- ReactCommon/turbomodule/bridging
- ReactCommon/turbomodule/core
- React-Core (0.74.2):
- glog
- hermes-engine
- RCT-Folly (= 2024.01.01.00)
- RCTDeprecation
- React-Core/Default (= 0.74.2)
- React-cxxreact
- React-featureflags
- React-hermes
- React-jsi
- React-jsiexecutor
- React-jsinspector
- React-perflogger
- React-runtimescheduler
- React-utils
- SocketRocket (= 0.7.0)
- Yoga
- React-Core/CoreModulesHeaders (0.74.2):
- glog
- hermes-engine
- RCT-Folly (= 2024.01.01.00)
- RCTDeprecation
- React-Core/Default
- React-cxxreact
- React-featureflags
- React-hermes
- React-jsi
- React-jsiexecutor
- React-jsinspector
- React-perflogger
- React-runtimescheduler
- React-utils
- SocketRocket (= 0.7.0)
- Yoga
- React-Core/Default (0.74.2):
- glog
- hermes-engine
- RCT-Folly (= 2024.01.01.00)
- RCTDeprecation
- React-cxxreact
- React-featureflags
- React-hermes
- React-jsi
- React-jsiexecutor
- React-jsinspector
- React-perflogger
- React-runtimescheduler
- React-utils
- SocketRocket (= 0.7.0)
- Yoga
- React-Core/DevSupport (0.74.2):
- glog
- hermes-engine
- RCT-Folly (= 2024.01.01.00)
- RCTDeprecation
- React-Core/Default (= 0.74.2)
- React-Core/RCTWebSocket (= 0.74.2)
- React-cxxreact
- React-featureflags
- React-hermes
- React-jsi
- React-jsiexecutor
- React-jsinspector
- React-perflogger
- React-runtimescheduler
- React-utils
- SocketRocket (= 0.7.0)
- Yoga
- React-Core/RCTActionSheetHeaders (0.74.2):
- glog
- hermes-engine
- RCT-Folly (= 2024.01.01.00)
- RCTDeprecation
- React-Core/Default
- React-cxxreact
- React-featureflags
- React-hermes
- React-jsi
- React-jsiexecutor
- React-jsinspector
- React-perflogger
- React-runtimescheduler
- React-utils
- SocketRocket (= 0.7.0)
- Yoga
- React-Core/RCTAnimationHeaders (0.74.2):
- glog
- hermes-engine
- RCT-Folly (= 2024.01.01.00)
- RCTDeprecation
- React-Core/Default
- React-cxxreact
- React-featureflags
- React-hermes
- React-jsi
- React-jsiexecutor
- React-jsinspector
- React-perflogger
- React-runtimescheduler
- React-utils
- SocketRocket (= 0.7.0)
- Yoga
- React-Core/RCTBlobHeaders (0.74.2):
- glog
- hermes-engine
- RCT-Folly (= 2024.01.01.00)
- RCTDeprecation
- React-Core/Default
- React-cxxreact
- React-featureflags
- React-hermes
- React-jsi
- React-jsiexecutor
- React-jsinspector
- React-perflogger
- React-runtimescheduler
- React-utils
- SocketRocket (= 0.7.0)
- Yoga
- React-Core/RCTImageHeaders (0.74.2):
- glog
- hermes-engine
- RCT-Folly (= 2024.01.01.00)
- RCTDeprecation
- React-Core/Default
- React-cxxreact
- React-featureflags
- React-hermes
- React-jsi
- React-jsiexecutor
- React-jsinspector
- React-perflogger
- React-runtimescheduler
- React-utils
- SocketRocket (= 0.7.0)
- Yoga
- React-Core/RCTLinkingHeaders (0.74.2):
- glog
- hermes-engine
- RCT-Folly (= 2024.01.01.00)
- RCTDeprecation
- React-Core/Default
- React-cxxreact
- React-featureflags
- React-hermes
- React-jsi
- React-jsiexecutor
- React-jsinspector
- React-perflogger
- React-runtimescheduler
- React-utils
- SocketRocket (= 0.7.0)
- Yoga
- React-Core/RCTNetworkHeaders (0.74.2):
- glog
- hermes-engine
- RCT-Folly (= 2024.01.01.00)
- RCTDeprecation
- React-Core/Default
- React-cxxreact
- React-featureflags
- React-hermes
- React-jsi
- React-jsiexecutor
- React-jsinspector
- React-perflogger
- React-runtimescheduler
- React-utils
- SocketRocket (= 0.7.0)
- Yoga
- React-Core/RCTSettingsHeaders (0.74.2):
- glog
- hermes-engine
- RCT-Folly (= 2024.01.01.00)
- RCTDeprecation
- React-Core/Default
- React-cxxreact
- React-featureflags
- React-hermes
- React-jsi
- React-jsiexecutor
- React-jsinspector
- React-perflogger
- React-runtimescheduler
- React-utils
- SocketRocket (= 0.7.0)
- Yoga
- React-Core/RCTTextHeaders (0.74.2):
- glog
- hermes-engine
- RCT-Folly (= 2024.01.01.00)
- RCTDeprecation
- React-Core/Default
- React-cxxreact
- React-featureflags
- React-hermes
- React-jsi
- React-jsiexecutor
- React-jsinspector
- React-perflogger
- React-runtimescheduler
- React-utils
- SocketRocket (= 0.7.0)
- Yoga
- React-Core/RCTVibrationHeaders (0.74.2):
- glog
- hermes-engine
- RCT-Folly (= 2024.01.01.00)
- RCTDeprecation
- React-Core/Default
- React-cxxreact
- React-featureflags
- React-hermes
- React-jsi
- React-jsiexecutor
- React-jsinspector
- React-perflogger
- React-runtimescheduler
- React-utils
- SocketRocket (= 0.7.0)
- Yoga
- React-Core/RCTWebSocket (0.74.2):
- glog
- hermes-engine
- RCT-Folly (= 2024.01.01.00)
- RCTDeprecation
- React-Core/Default (= 0.74.2)
- React-cxxreact
- React-featureflags
- React-hermes
- React-jsi
- React-jsiexecutor
- React-jsinspector
- React-perflogger
- React-runtimescheduler
- React-utils
- SocketRocket (= 0.7.0)
- Yoga
- React-CoreModules (0.74.2):
- DoubleConversion
- fmt (= 9.1.0)
- RCT-Folly (= 2024.01.01.00)
- RCTTypeSafety (= 0.74.2)
- React-Codegen
- React-Core/CoreModulesHeaders (= 0.74.2)
- React-jsi (= 0.74.2)
- React-jsinspector
- React-NativeModulesApple
- React-RCTBlob
- React-RCTImage (= 0.74.2)
- ReactCommon
- SocketRocket (= 0.7.0)
- React-cxxreact (0.74.2):
- boost (= 1.83.0)
- DoubleConversion
- fmt (= 9.1.0)
- glog
- hermes-engine
- RCT-Folly (= 2024.01.01.00)
- React-callinvoker (= 0.74.2)
- React-debug (= 0.74.2)
- React-jsi (= 0.74.2)
- React-jsinspector
- React-logger (= 0.74.2)
- React-perflogger (= 0.74.2)
- React-runtimeexecutor (= 0.74.2)
- React-debug (0.74.2)
- React-Fabric (0.74.2):
- DoubleConversion
- fmt (= 9.1.0)
- glog
- hermes-engine
- RCT-Folly/Fabric (= 2024.01.01.00)
- RCTRequired
- RCTTypeSafety
- React-Core
- React-cxxreact
- React-debug
- React-Fabric/animations (= 0.74.2)
- React-Fabric/attributedstring (= 0.74.2)
- React-Fabric/componentregistry (= 0.74.2)
- React-Fabric/componentregistrynative (= 0.74.2)
- React-Fabric/components (= 0.74.2)
- React-Fabric/core (= 0.74.2)
- React-Fabric/imagemanager (= 0.74.2)
- React-Fabric/leakchecker (= 0.74.2)
- React-Fabric/mounting (= 0.74.2)
- React-Fabric/scheduler (= 0.74.2)
- React-Fabric/telemetry (= 0.74.2)
- React-Fabric/templateprocessor (= 0.74.2)
- React-Fabric/textlayoutmanager (= 0.74.2)
- React-Fabric/uimanager (= 0.74.2)
- React-graphics
- React-jsi
- React-jsiexecutor
- React-logger
- React-rendererdebug
- React-runtimescheduler
- React-utils
- ReactCommon/turbomodule/core
- React-Fabric/animations (0.74.2):
- DoubleConversion
- fmt (= 9.1.0)
- glog
- hermes-engine
- RCT-Folly/Fabric (= 2024.01.01.00)
- RCTRequired
- RCTTypeSafety
- React-Core
- React-cxxreact
- React-debug
- React-graphics
- React-jsi
- React-jsiexecutor
- React-logger
- React-rendererdebug
- React-runtimescheduler
- React-utils
- ReactCommon/turbomodule/core
- React-Fabric/attributedstring (0.74.2):
- DoubleConversion
- fmt (= 9.1.0)
- glog
- hermes-engine
- RCT-Folly/Fabric (= 2024.01.01.00)
- RCTRequired
- RCTTypeSafety
- React-Core
- React-cxxreact
- React-debug
- React-graphics
- React-jsi
- React-jsiexecutor
- React-logger
- React-rendererdebug
- React-runtimescheduler
- React-utils
- ReactCommon/turbomodule/core
- React-Fabric/componentregistry (0.74.2):
- DoubleConversion
- fmt (= 9.1.0)
- glog
- hermes-engine
- RCT-Folly/Fabric (= 2024.01.01.00)
- RCTRequired
- RCTTypeSafety
- React-Core
- React-cxxreact
- React-debug
- React-graphics
- React-jsi
- React-jsiexecutor
- React-logger
- React-rendererdebug
- React-runtimescheduler
- React-utils
- ReactCommon/turbomodule/core
- React-Fabric/componentregistrynative (0.74.2):
- DoubleConversion
- fmt (= 9.1.0)
- glog
- hermes-engine
- RCT-Folly/Fabric (= 2024.01.01.00)
- RCTRequired
- RCTTypeSafety
- React-Core
- React-cxxreact
- React-debug
- React-graphics
- React-jsi
- React-jsiexecutor
- React-logger
- React-rendererdebug
- React-runtimescheduler
- React-utils
- ReactCommon/turbomodule/core
- React-Fabric/components (0.74.2):
- DoubleConversion
- fmt (= 9.1.0)
- glog
- hermes-engine
- RCT-Folly/Fabric (= 2024.01.01.00)
- RCTRequired
- RCTTypeSafety
- React-Core
- React-cxxreact
- React-debug
- React-Fabric/components/inputaccessory (= 0.74.2)
- React-Fabric/components/legacyviewmanagerinterop (= 0.74.2)
- React-Fabric/components/modal (= 0.74.2)
- React-Fabric/components/rncore (= 0.74.2)
- React-Fabric/components/root (= 0.74.2)
- React-Fabric/components/safeareaview (= 0.74.2)
- React-Fabric/components/scrollview (= 0.74.2)
- React-Fabric/components/text (= 0.74.2)
- React-Fabric/components/textinput (= 0.74.2)
- React-Fabric/components/unimplementedview (= 0.74.2)
- React-Fabric/components/view (= 0.74.2)
- React-graphics
- React-jsi
- React-jsiexecutor
- React-logger
- React-rendererdebug
- React-runtimescheduler
- React-utils
- ReactCommon/turbomodule/core
- React-Fabric/components/inputaccessory (0.74.2):
- DoubleConversion
- fmt (= 9.1.0)
- glog
- hermes-engine
- RCT-Folly/Fabric (= 2024.01.01.00)
- RCTRequired
- RCTTypeSafety
- React-Core
- React-cxxreact
- React-debug
- React-graphics
- React-jsi
- React-jsiexecutor
- React-logger
- React-rendererdebug
- React-runtimescheduler
- React-utils
- ReactCommon/turbomodule/core
- React-Fabric/components/legacyviewmanagerinterop (0.74.2):
- DoubleConversion
- fmt (= 9.1.0)
- glog
- hermes-engine
- RCT-Folly/Fabric (= 2024.01.01.00)
- RCTRequired
- RCTTypeSafety
- React-Core
- React-cxxreact
- React-debug
- React-graphics
- React-jsi
- React-jsiexecutor
- React-logger
- React-rendererdebug
- React-runtimescheduler
- React-utils
- ReactCommon/turbomodule/core
- React-Fabric/components/modal (0.74.2):
- DoubleConversion
- fmt (= 9.1.0)
- glog
- hermes-engine
- RCT-Folly/Fabric (= 2024.01.01.00)
- RCTRequired
- RCTTypeSafety
- React-Core
- React-cxxreact
- React-debug
- React-graphics
- React-jsi
- React-jsiexecutor
- React-logger
- React-rendererdebug
- React-runtimescheduler
- React-utils
- ReactCommon/turbomodule/core
- React-Fabric/components/rncore (0.74.2):
- DoubleConversion
- fmt (= 9.1.0)
- glog
- hermes-engine
- RCT-Folly/Fabric (= 2024.01.01.00)
- RCTRequired
- RCTTypeSafety
- React-Core
- React-cxxreact
- React-debug
- React-graphics
- React-jsi
- React-jsiexecutor
- React-logger
- React-rendererdebug
- React-runtimescheduler
- React-utils
- ReactCommon/turbomodule/core
- React-Fabric/components/root (0.74.2):
- DoubleConversion
- fmt (= 9.1.0)
- glog
- hermes-engine
- RCT-Folly/Fabric (= 2024.01.01.00)
- RCTRequired
- RCTTypeSafety
- React-Core
- React-cxxreact
- React-debug
- React-graphics
- React-jsi
- React-jsiexecutor
- React-logger
- React-rendererdebug
- React-runtimescheduler
- React-utils
- ReactCommon/turbomodule/core
- React-Fabric/components/safeareaview (0.74.2):
- DoubleConversion
- fmt (= 9.1.0)
- glog
- hermes-engine
- RCT-Folly/Fabric (= 2024.01.01.00)
- RCTRequired
- RCTTypeSafety
- React-Core
- React-cxxreact
- React-debug
- React-graphics
- React-jsi
- React-jsiexecutor
- React-logger
- React-rendererdebug
- React-runtimescheduler
- React-utils
- ReactCommon/turbomodule/core
- React-Fabric/components/scrollview (0.74.2):
- DoubleConversion
- fmt (= 9.1.0)
- glog
- hermes-engine
- RCT-Folly/Fabric (= 2024.01.01.00)
- RCTRequired
- RCTTypeSafety
- React-Core
- React-cxxreact
- React-debug
- React-graphics
- React-jsi
- React-jsiexecutor
- React-logger
- React-rendererdebug
- React-runtimescheduler
- React-utils
- ReactCommon/turbomodule/core
- React-Fabric/components/text (0.74.2):
- DoubleConversion
- fmt (= 9.1.0)
- glog
- hermes-engine
- RCT-Folly/Fabric (= 2024.01.01.00)
- RCTRequired
- RCTTypeSafety
- React-Core
- React-cxxreact
- React-debug
- React-graphics
- React-jsi
- React-jsiexecutor
- React-logger
- React-rendererdebug
- React-runtimescheduler
- React-utils
- ReactCommon/turbomodule/core
- React-Fabric/components/textinput (0.74.2):
- DoubleConversion
- fmt (= 9.1.0)
- glog
- hermes-engine
- RCT-Folly/Fabric (= 2024.01.01.00)
- RCTRequired
- RCTTypeSafety
- React-Core
- React-cxxreact
- React-debug
- React-graphics
- React-jsi
- React-jsiexecutor
- React-logger
- React-rendererdebug
- React-runtimescheduler
- React-utils
- ReactCommon/turbomodule/core
- React-Fabric/components/unimplementedview (0.74.2):
- DoubleConversion
- fmt (= 9.1.0)
- glog
- hermes-engine
- RCT-Folly/Fabric (= 2024.01.01.00)
- RCTRequired
- RCTTypeSafety
- React-Core
- React-cxxreact
- React-debug
- React-graphics
- React-jsi
- React-jsiexecutor
- React-logger
- React-rendererdebug
- React-runtimescheduler
- React-utils
- ReactCommon/turbomodule/core
- React-Fabric/components/view (0.74.2):
- DoubleConversion
- fmt (= 9.1.0)
- glog
- hermes-engine
- RCT-Folly/Fabric (= 2024.01.01.00)
- RCTRequired
- RCTTypeSafety
- React-Core
- React-cxxreact
- React-debug
- React-graphics
- React-jsi
- React-jsiexecutor
- React-logger
- React-rendererdebug
- React-runtimescheduler
- React-utils
- ReactCommon/turbomodule/core
- Yoga
- React-Fabric/core (0.74.2):
- DoubleConversion
- fmt (= 9.1.0)
- glog
- hermes-engine
- RCT-Folly/Fabric (= 2024.01.01.00)
- RCTRequired
- RCTTypeSafety
- React-Core
- React-cxxreact
- React-debug
- React-graphics
- React-jsi
- React-jsiexecutor
- React-logger
- React-rendererdebug
- React-runtimescheduler
- React-utils
- ReactCommon/turbomodule/core
- React-Fabric/imagemanager (0.74.2):
- DoubleConversion
- fmt (= 9.1.0)
- glog
- hermes-engine
- RCT-Folly/Fabric (= 2024.01.01.00)
- RCTRequired
- RCTTypeSafety
- React-Core
- React-cxxreact
- React-debug
- React-graphics
- React-jsi
- React-jsiexecutor
- React-logger
- React-rendererdebug
- React-runtimescheduler
- React-utils
- ReactCommon/turbomodule/core
- React-Fabric/leakchecker (0.74.2):
- DoubleConversion
- fmt (= 9.1.0)
- glog
- hermes-engine
- RCT-Folly/Fabric (= 2024.01.01.00)
- RCTRequired
- RCTTypeSafety
- React-Core
- React-cxxreact
- React-debug
- React-graphics
- React-jsi
- React-jsiexecutor
- React-logger
- React-rendererdebug
- React-runtimescheduler
- React-utils
- ReactCommon/turbomodule/core
- React-Fabric/mounting (0.74.2):
- DoubleConversion
- fmt (= 9.1.0)
- glog
- hermes-engine
- RCT-Folly/Fabric (= 2024.01.01.00)
- RCTRequired
- RCTTypeSafety
- React-Core
- React-cxxreact
- React-debug
- React-graphics
- React-jsi
- React-jsiexecutor
- React-logger
- React-rendererdebug
- React-runtimescheduler
- React-utils
- ReactCommon/turbomodule/core
- React-Fabric/scheduler (0.74.2):
- DoubleConversion
- fmt (= 9.1.0)
- glog
- hermes-engine
- RCT-Folly/Fabric (= 2024.01.01.00)
- RCTRequired
- RCTTypeSafety
- React-Core
- React-cxxreact
- React-debug
- React-graphics
- React-jsi
- React-jsiexecutor
- React-logger
- React-rendererdebug
- React-runtimescheduler
- React-utils
- ReactCommon/turbomodule/core
- React-Fabric/telemetry (0.74.2):
- DoubleConversion
- fmt (= 9.1.0)
- glog
- hermes-engine
- RCT-Folly/Fabric (= 2024.01.01.00)
- RCTRequired
- RCTTypeSafety
- React-Core
- React-cxxreact
- React-debug
- React-graphics
- React-jsi
- React-jsiexecutor
- React-logger
- React-rendererdebug
- React-runtimescheduler
- React-utils
- ReactCommon/turbomodule/core
- React-Fabric/templateprocessor (0.74.2):
- DoubleConversion
- fmt (= 9.1.0)
- glog
- hermes-engine
- RCT-Folly/Fabric (= 2024.01.01.00)
- RCTRequired
- RCTTypeSafety
- React-Core
- React-cxxreact
- React-debug
- React-graphics
- React-jsi
- React-jsiexecutor
- React-logger
- React-rendererdebug
- React-runtimescheduler
- React-utils
- ReactCommon/turbomodule/core
- React-Fabric/textlayoutmanager (0.74.2):
- DoubleConversion
- fmt (= 9.1.0)
- glog
- hermes-engine
- RCT-Folly/Fabric (= 2024.01.01.00)
- RCTRequired
- RCTTypeSafety
- React-Core
- React-cxxreact
- React-debug
- React-Fabric/uimanager
- React-graphics
- React-jsi
- React-jsiexecutor
- React-logger
- React-rendererdebug
- React-runtimescheduler
- React-utils
- ReactCommon/turbomodule/core
- React-Fabric/uimanager (0.74.2):
- DoubleConversion
- fmt (= 9.1.0)
- glog
- hermes-engine
- RCT-Folly/Fabric (= 2024.01.01.00)
- RCTRequired
- RCTTypeSafety
- React-Core
- React-cxxreact
- React-debug
- React-graphics
- React-jsi
- React-jsiexecutor
- React-logger
- React-rendererdebug
- React-runtimescheduler
- React-utils
- ReactCommon/turbomodule/core
- React-FabricImage (0.74.2):
- DoubleConversion
- fmt (= 9.1.0)
- glog
- hermes-engine
- RCT-Folly/Fabric (= 2024.01.01.00)
- RCTRequired (= 0.74.2)
- RCTTypeSafety (= 0.74.2)
- React-Fabric
- React-graphics
- React-ImageManager
- React-jsi
- React-jsiexecutor (= 0.74.2)
- React-logger
- React-rendererdebug
- React-utils
- ReactCommon
- Yoga
- React-featureflags (0.74.2)
- React-graphics (0.74.2):
- DoubleConversion
- fmt (= 9.1.0)
- glog
- RCT-Folly/Fabric (= 2024.01.01.00)
- React-Core/Default (= 0.74.2)
- React-utils
- React-hermes (0.74.2):
- DoubleConversion
- fmt (= 9.1.0)
- glog
- hermes-engine
- RCT-Folly (= 2024.01.01.00)
- React-cxxreact (= 0.74.2)
- React-jsi
- React-jsiexecutor (= 0.74.2)
- React-jsinspector
- React-perflogger (= 0.74.2)
- React-runtimeexecutor
- React-ImageManager (0.74.2):
- glog
- RCT-Folly/Fabric
- React-Core/Default
- React-debug
- React-Fabric
- React-graphics
- React-rendererdebug
- React-utils
- React-jserrorhandler (0.74.2):
- RCT-Folly/Fabric (= 2024.01.01.00)
- React-debug
- React-jsi
- React-Mapbuffer
- React-jsi (0.74.2):
- boost (= 1.83.0)
- DoubleConversion
- fmt (= 9.1.0)
- glog
- hermes-engine
- RCT-Folly (= 2024.01.01.00)
- React-jsiexecutor (0.74.2):
- DoubleConversion
- fmt (= 9.1.0)
- glog
- hermes-engine
- RCT-Folly (= 2024.01.01.00)
- React-cxxreact (= 0.74.2)
- React-jsi (= 0.74.2)
- React-jsinspector
- React-perflogger (= 0.74.2)
- React-jsinspector (0.74.2):
- DoubleConversion
- glog
- hermes-engine
- RCT-Folly (= 2024.01.01.00)
- React-featureflags
- React-jsi
- React-runtimeexecutor (= 0.74.2)
- React-jsitracing (0.74.2):
- React-jsi
- React-logger (0.74.2):
- glog
- React-Mapbuffer (0.74.2):
- glog
- React-debug
- react-native-safe-area-context (4.10.4):
- React-Core
- React-nativeconfig (0.74.2)
- React-NativeModulesApple (0.74.2):
- glog
- hermes-engine
- React-callinvoker
- React-Core
- React-cxxreact
- React-jsi
- React-jsinspector
- React-runtimeexecutor
- ReactCommon/turbomodule/bridging
- ReactCommon/turbomodule/core
- React-perflogger (0.74.2)
- React-RCTActionSheet (0.74.2):
- React-Core/RCTActionSheetHeaders (= 0.74.2)
- React-RCTAnimation (0.74.2):
- RCT-Folly (= 2024.01.01.00)
- RCTTypeSafety
- React-Codegen
- React-Core/RCTAnimationHeaders
- React-jsi
- React-NativeModulesApple
- ReactCommon
- React-RCTAppDelegate (0.74.2):
- RCT-Folly (= 2024.01.01.00)
- RCTRequired
- RCTTypeSafety
- React-Codegen
- React-Core
- React-CoreModules
- React-debug
- React-Fabric
- React-featureflags
- React-graphics
- React-hermes
- React-nativeconfig
- React-NativeModulesApple
- React-RCTFabric
- React-RCTImage
- React-RCTNetwork
- React-rendererdebug
- React-RuntimeApple
- React-RuntimeCore
- React-RuntimeHermes
- React-runtimescheduler
- React-utils
- ReactCommon
- React-RCTBlob (0.74.2):
- DoubleConversion
- fmt (= 9.1.0)
- hermes-engine
- RCT-Folly (= 2024.01.01.00)
- React-Codegen
- React-Core/RCTBlobHeaders
- React-Core/RCTWebSocket
- React-jsi
- React-jsinspector
- React-NativeModulesApple
- React-RCTNetwork
- ReactCommon
- React-RCTFabric (0.74.2):
- glog
- hermes-engine
- RCT-Folly/Fabric (= 2024.01.01.00)
- React-Core
- React-debug
- React-Fabric
- React-FabricImage
- React-featureflags
- React-graphics
- React-ImageManager
- React-jsi
- React-jsinspector
- React-nativeconfig
- React-RCTImage
- React-RCTText
- React-rendererdebug
- React-runtimescheduler
- React-utils
- Yoga
- React-RCTImage (0.74.2):
- RCT-Folly (= 2024.01.01.00)
- RCTTypeSafety
- React-Codegen
- React-Core/RCTImageHeaders
- React-jsi
- React-NativeModulesApple
- React-RCTNetwork
- ReactCommon
- React-RCTLinking (0.74.2):
- React-Codegen
- React-Core/RCTLinkingHeaders (= 0.74.2)
- React-jsi (= 0.74.2)
- React-NativeModulesApple
- ReactCommon
- ReactCommon/turbomodule/core (= 0.74.2)
- React-RCTNetwork (0.74.2):
- RCT-Folly (= 2024.01.01.00)
- RCTTypeSafety
- React-Codegen
- React-Core/RCTNetworkHeaders
- React-jsi
- React-NativeModulesApple
- ReactCommon
- React-RCTSettings (0.74.2):
- RCT-Folly (= 2024.01.01.00)
- RCTTypeSafety
- React-Codegen
- React-Core/RCTSettingsHeaders
- React-jsi
- React-NativeModulesApple
- ReactCommon
- React-RCTText (0.74.2):
- React-Core/RCTTextHeaders (= 0.74.2)
- Yoga
- React-RCTVibration (0.74.2):
- RCT-Folly (= 2024.01.01.00)
- React-Codegen
- React-Core/RCTVibrationHeaders
- React-jsi
- React-NativeModulesApple
- ReactCommon
- React-rendererdebug (0.74.2):
- DoubleConversion
- fmt (= 9.1.0)
- RCT-Folly (= 2024.01.01.00)
- React-debug
- React-rncore (0.74.2)
- React-RuntimeApple (0.74.2):
- hermes-engine
- RCT-Folly/Fabric (= 2024.01.01.00)
- React-callinvoker
- React-Core/Default
- React-CoreModules
- React-cxxreact
- React-jserrorhandler
- React-jsi
- React-jsiexecutor
- React-jsinspector
- React-Mapbuffer
- React-NativeModulesApple
- React-RCTFabric
- React-RuntimeCore
- React-runtimeexecutor
- React-RuntimeHermes
- React-utils
- React-RuntimeCore (0.74.2):
- glog
- hermes-engine
- RCT-Folly/Fabric (= 2024.01.01.00)
- React-cxxreact
- React-featureflags
- React-jserrorhandler
- React-jsi
- React-jsiexecutor
- React-jsinspector
- React-runtimeexecutor
- React-runtimescheduler
- React-utils
- React-runtimeexecutor (0.74.2):
- React-jsi (= 0.74.2)
- React-RuntimeHermes (0.74.2):
- hermes-engine
- RCT-Folly/Fabric (= 2024.01.01.00)
- React-featureflags
- React-hermes
- React-jsi
- React-jsinspector
- React-jsitracing
- React-nativeconfig
- React-RuntimeCore
- React-utils
- React-runtimescheduler (0.74.2):
- glog
- hermes-engine
- RCT-Folly (= 2024.01.01.00)
- React-callinvoker
- React-cxxreact
- React-debug
- React-featureflags
- React-jsi
- React-rendererdebug
- React-runtimeexecutor
- React-utils
- React-utils (0.74.2):
- glog
- hermes-engine
- RCT-Folly (= 2024.01.01.00)
- React-debug
- React-jsi (= 0.74.2)
- ReactCommon (0.74.2):
- ReactCommon/turbomodule (= 0.74.2)
- ReactCommon/turbomodule (0.74.2):
- DoubleConversion
- fmt (= 9.1.0)
- glog
- hermes-engine
- RCT-Folly (= 2024.01.01.00)
- React-callinvoker (= 0.74.2)
- React-cxxreact (= 0.74.2)
- React-jsi (= 0.74.2)
- React-logger (= 0.74.2)
- React-perflogger (= 0.74.2)
- ReactCommon/turbomodule/bridging (= 0.74.2)
- ReactCommon/turbomodule/core (= 0.74.2)
- ReactCommon/turbomodule/bridging (0.74.2):
- DoubleConversion
- fmt (= 9.1.0)
- glog
- hermes-engine
- RCT-Folly (= 2024.01.01.00)
- React-callinvoker (= 0.74.2)
- React-cxxreact (= 0.74.2)
- React-jsi (= 0.74.2)
- React-logger (= 0.74.2)
- React-perflogger (= 0.74.2)
- ReactCommon/turbomodule/core (0.74.2):
- DoubleConversion
- fmt (= 9.1.0)
- glog
- hermes-engine
- RCT-Folly (= 2024.01.01.00)
- React-callinvoker (= 0.74.2)
- React-cxxreact (= 0.74.2)
- React-debug (= 0.74.2)
- React-jsi (= 0.74.2)
- React-logger (= 0.74.2)
- React-perflogger (= 0.74.2)
- React-utils (= 0.74.2)
- RNPermissions (4.1.5):
- React-Core
- RNVectorIcons (10.1.0):
- DoubleConversion
- glog
- hermes-engine
- RCT-Folly (= 2024.01.01.00)
- RCTRequired
- RCTTypeSafety
- React-Codegen
- React-Core
- React-debug
- React-Fabric
- React-featureflags
- React-graphics
- React-ImageManager
- React-NativeModulesApple
- React-RCTFabric
- React-rendererdebug
- React-utils
- ReactCommon/turbomodule/bridging
- ReactCommon/turbomodule/core
- Yoga
- SocketRocket (0.7.0)
- Yoga (0.0.0)
DEPENDENCIES:
- boost (from `../node_modules/react-native/third-party-podspecs/boost.podspec`)
- DoubleConversion (from `../node_modules/react-native/third-party-podspecs/DoubleConversion.podspec`)
- FBLazyVector (from `../node_modules/react-native/Libraries/FBLazyVector`)
- fmt (from `../node_modules/react-native/third-party-podspecs/fmt.podspec`)
- glog (from `../node_modules/react-native/third-party-podspecs/glog.podspec`)
- hermes-engine (from `../node_modules/react-native/sdks/hermes-engine/hermes-engine.podspec`)
- RCT-Folly (from `../node_modules/react-native/third-party-podspecs/RCT-Folly.podspec`)
- RCT-Folly/Fabric (from `../node_modules/react-native/third-party-podspecs/RCT-Folly.podspec`)
- RCTDeprecation (from `../node_modules/react-native/ReactApple/Libraries/RCTFoundation/RCTDeprecation`)
- RCTRequired (from `../node_modules/react-native/Libraries/Required`)
- RCTTypeSafety (from `../node_modules/react-native/Libraries/TypeSafety`)
- React (from `../node_modules/react-native/`)
- React-callinvoker (from `../node_modules/react-native/ReactCommon/callinvoker`)
- React-Codegen (from `build/generated/ios`)
- React-Core (from `../node_modules/react-native/`)
- React-Core/RCTWebSocket (from `../node_modules/react-native/`)
- React-CoreModules (from `../node_modules/react-native/React/CoreModules`)
- React-cxxreact (from `../node_modules/react-native/ReactCommon/cxxreact`)
- React-debug (from `../node_modules/react-native/ReactCommon/react/debug`)
- React-Fabric (from `../node_modules/react-native/ReactCommon`)
- React-FabricImage (from `../node_modules/react-native/ReactCommon`)
- React-featureflags (from `../node_modules/react-native/ReactCommon/react/featureflags`)
- React-graphics (from `../node_modules/react-native/ReactCommon/react/renderer/graphics`)
- React-hermes (from `../node_modules/react-native/ReactCommon/hermes`)
- React-ImageManager (from `../node_modules/react-native/ReactCommon/react/renderer/imagemanager/platform/ios`)
- React-jserrorhandler (from `../node_modules/react-native/ReactCommon/jserrorhandler`)
- React-jsi (from `../node_modules/react-native/ReactCommon/jsi`)
- React-jsiexecutor (from `../node_modules/react-native/ReactCommon/jsiexecutor`)
- React-jsinspector (from `../node_modules/react-native/ReactCommon/jsinspector-modern`)
- React-jsitracing (from `../node_modules/react-native/ReactCommon/hermes/executor/`)
- React-logger (from `../node_modules/react-native/ReactCommon/logger`)
- React-Mapbuffer (from `../node_modules/react-native/ReactCommon`)
- react-native-safe-area-context (from `../node_modules/react-native-safe-area-context`)
- React-nativeconfig (from `../node_modules/react-native/ReactCommon`)
- React-NativeModulesApple (from `../node_modules/react-native/ReactCommon/react/nativemodule/core/platform/ios`)
- React-perflogger (from `../node_modules/react-native/ReactCommon/reactperflogger`)
- React-RCTActionSheet (from `../node_modules/react-native/Libraries/ActionSheetIOS`)
- React-RCTAnimation (from `../node_modules/react-native/Libraries/NativeAnimation`)
- React-RCTAppDelegate (from `../node_modules/react-native/Libraries/AppDelegate`)
- React-RCTBlob (from `../node_modules/react-native/Libraries/Blob`)
- React-RCTFabric (from `../node_modules/react-native/React`)
- React-RCTImage (from `../node_modules/react-native/Libraries/Image`)
- React-RCTLinking (from `../node_modules/react-native/Libraries/LinkingIOS`)
- React-RCTNetwork (from `../node_modules/react-native/Libraries/Network`)
- React-RCTSettings (from `../node_modules/react-native/Libraries/Settings`)
- React-RCTText (from `../node_modules/react-native/Libraries/Text`)
- React-RCTVibration (from `../node_modules/react-native/Libraries/Vibration`)
- React-rendererdebug (from `../node_modules/react-native/ReactCommon/react/renderer/debug`)
- React-rncore (from `../node_modules/react-native/ReactCommon`)
- React-RuntimeApple (from `../node_modules/react-native/ReactCommon/react/runtime/platform/ios`)
- React-RuntimeCore (from `../node_modules/react-native/ReactCommon/react/runtime`)
- React-runtimeexecutor (from `../node_modules/react-native/ReactCommon/runtimeexecutor`)
- React-RuntimeHermes (from `../node_modules/react-native/ReactCommon/react/runtime`)
- React-runtimescheduler (from `../node_modules/react-native/ReactCommon/react/renderer/runtimescheduler`)
- React-utils (from `../node_modules/react-native/ReactCommon/react/utils`)
- ReactCommon/turbomodule/core (from `../node_modules/react-native/ReactCommon`)
- RNPermissions (from `../node_modules/react-native-permissions`)
- RNVectorIcons (from `../node_modules/react-native-vector-icons`)
- Yoga (from `../node_modules/react-native/ReactCommon/yoga`)
SPEC REPOS:
trunk:
- SocketRocket
EXTERNAL SOURCES:
boost:
:podspec: "../node_modules/react-native/third-party-podspecs/boost.podspec"
DoubleConversion:
:podspec: "../node_modules/react-native/third-party-podspecs/DoubleConversion.podspec"
FBLazyVector:
:path: "../node_modules/react-native/Libraries/FBLazyVector"
fmt:
:podspec: "../node_modules/react-native/third-party-podspecs/fmt.podspec"
glog:
:podspec: "../node_modules/react-native/third-party-podspecs/glog.podspec"
hermes-engine:
:podspec: "../node_modules/react-native/sdks/hermes-engine/hermes-engine.podspec"
:tag: hermes-2024-06-03-RNv0.74.2-bb1e74fe1e95c2b5a2f4f9311152da052badc2bc
RCT-Folly:
:podspec: "../node_modules/react-native/third-party-podspecs/RCT-Folly.podspec"
RCTDeprecation:
:path: "../node_modules/react-native/ReactApple/Libraries/RCTFoundation/RCTDeprecation"
RCTRequired:
:path: "../node_modules/react-native/Libraries/Required"
RCTTypeSafety:
:path: "../node_modules/react-native/Libraries/TypeSafety"
React:
:path: "../node_modules/react-native/"
React-callinvoker:
:path: "../node_modules/react-native/ReactCommon/callinvoker"
React-Codegen:
:path: build/generated/ios
React-Core:
:path: "../node_modules/react-native/"
React-CoreModules:
:path: "../node_modules/react-native/React/CoreModules"
React-cxxreact:
:path: "../node_modules/react-native/ReactCommon/cxxreact"
React-debug:
:path: "../node_modules/react-native/ReactCommon/react/debug"
React-Fabric:
:path: "../node_modules/react-native/ReactCommon"
React-FabricImage:
:path: "../node_modules/react-native/ReactCommon"
React-featureflags:
:path: "../node_modules/react-native/ReactCommon/react/featureflags"
React-graphics:
:path: "../node_modules/react-native/ReactCommon/react/renderer/graphics"
React-hermes:
:path: "../node_modules/react-native/ReactCommon/hermes"
React-ImageManager:
:path: "../node_modules/react-native/ReactCommon/react/renderer/imagemanager/platform/ios"
React-jserrorhandler:
:path: "../node_modules/react-native/ReactCommon/jserrorhandler"
React-jsi:
:path: "../node_modules/react-native/ReactCommon/jsi"
React-jsiexecutor:
:path: "../node_modules/react-native/ReactCommon/jsiexecutor"
React-jsinspector:
:path: "../node_modules/react-native/ReactCommon/jsinspector-modern"
React-jsitracing:
:path: "../node_modules/react-native/ReactCommon/hermes/executor/"
React-logger:
:path: "../node_modules/react-native/ReactCommon/logger"
React-Mapbuffer:
:path: "../node_modules/react-native/ReactCommon"
react-native-safe-area-context:
:path: "../node_modules/react-native-safe-area-context"
React-nativeconfig:
:path: "../node_modules/react-native/ReactCommon"
React-NativeModulesApple:
:path: "../node_modules/react-native/ReactCommon/react/nativemodule/core/platform/ios"
React-perflogger:
:path: "../node_modules/react-native/ReactCommon/reactperflogger"
React-RCTActionSheet:
:path: "../node_modules/react-native/Libraries/ActionSheetIOS"
React-RCTAnimation:
:path: "../node_modules/react-native/Libraries/NativeAnimation"
React-RCTAppDelegate:
:path: "../node_modules/react-native/Libraries/AppDelegate"
React-RCTBlob:
:path: "../node_modules/react-native/Libraries/Blob"
React-RCTFabric:
:path: "../node_modules/react-native/React"
React-RCTImage:
:path: "../node_modules/react-native/Libraries/Image"
React-RCTLinking:
:path: "../node_modules/react-native/Libraries/LinkingIOS"
React-RCTNetwork:
:path: "../node_modules/react-native/Libraries/Network"
React-RCTSettings:
:path: "../node_modules/react-native/Libraries/Settings"
React-RCTText:
:path: "../node_modules/react-native/Libraries/Text"
React-RCTVibration:
:path: "../node_modules/react-native/Libraries/Vibration"
React-rendererdebug:
:path: "../node_modules/react-native/ReactCommon/react/renderer/debug"
React-rncore:
:path: "../node_modules/react-native/ReactCommon"
React-RuntimeApple:
:path: "../node_modules/react-native/ReactCommon/react/runtime/platform/ios"
React-RuntimeCore:
:path: "../node_modules/react-native/ReactCommon/react/runtime"
React-runtimeexecutor:
:path: "../node_modules/react-native/ReactCommon/runtimeexecutor"
React-RuntimeHermes:
:path: "../node_modules/react-native/ReactCommon/react/runtime"
React-runtimescheduler:
:path: "../node_modules/react-native/ReactCommon/react/renderer/runtimescheduler"
React-utils:
:path: "../node_modules/react-native/ReactCommon/react/utils"
ReactCommon:
:path: "../node_modules/react-native/ReactCommon"
RNPermissions:
:path: "../node_modules/react-native-permissions"
RNVectorIcons:
:path: "../node_modules/react-native-vector-icons"
Yoga:
:path: "../node_modules/react-native/ReactCommon/yoga"
SPEC CHECKSUMS:
boost: d3f49c53809116a5d38da093a8aa78bf551aed09
DoubleConversion: 76ab83afb40bddeeee456813d9c04f67f78771b5
FBLazyVector: 4bc164e5b5e6cfc288d2b5ff28643ea15fa1a589
fmt: 4c2741a687cc09f0634a2e2c72a838b99f1ff120
glog: fdfdfe5479092de0c4bdbebedd9056951f092c4f
hermes-engine: 01d3e052018c2a13937aca1860fbedbccd4a41b7
RCT-Folly: 02617c592a293bd6d418e0a88ff4ee1f88329b47
RCTDeprecation: b03c35057846b685b3ccadc9bfe43e349989cdb2
RCTRequired: 194626909cfa8d39ca6663138c417bc6c431648c
RCTTypeSafety: 552aff5b8e8341660594db00e53ac889682bc120
React: a57fe42044fe6ed3e828f8867ce070a6c5872754
React-callinvoker: 6bedefb354a8848b534752417954caa3a5cf34f9
React-Codegen: 0952549a095f8f8cb2fb5def1733b6b232769b1c
React-Core: 289ee3dfc1639bb9058c1e77427bb48169c26d7a
React-CoreModules: eda5ce541a1f552158317abd90a5a0f6a4f8d6f7
React-cxxreact: 56bd17ccc6d4248116f7f95884ddb8c528379fb6
React-debug: 164b8e302404d92d4bec39778a5e03bcb1b6eb08
React-Fabric: 05620c36074e3ab397dd8f9db0deb6d3c38b4efa
React-FabricImage: 2a8a7f5729f5c44e32e6f58f7225ee1017ed0704
React-featureflags: d97a6393993052e951e16a3b81206e22110be8d2
React-graphics: ef07d701f4eb72ae6fca6ed0a7260a04f2a58dec
React-hermes: 6ccc301ababfa17a9aad25a7e33faf325fd024b4
React-ImageManager: 00404bfe122626bc6493621f2a31ce802115a9b3
React-jserrorhandler: 5e2632590a84363855b2083e6b3d501e93bc3f04
React-jsi: 828703c235f4eea1647897ee8030efdc6e8e9f14
React-jsiexecutor: 713d7bbef0a410cee5b3b78f73ed1fc16e177ba7
React-jsinspector: e1fa5325a47f34645195c63e3312ddb6a2efef5d
React-jsitracing: 0fa7f78d8fdda794667cb2e6f19c874c1cf31d7e
React-logger: 29fa3e048f5f67fe396bc08af7606426d9bd7b5d
React-Mapbuffer: bf56147c9775491e53122a94c423ac201417e326
react-native-safe-area-context: 399a5859f6acbdf67f671c69b53113f535f3b5b0
React-nativeconfig: 9f223cd321823afdecf59ed00861ab2d69ee0fc1
React-NativeModulesApple: ff7efaff7098639db5631236cfd91d60abff04c0
React-perflogger: 32ed45d9cee02cf6639acae34251590dccd30994
React-RCTActionSheet: 19f967ddaea258182b56ef11437133b056ba2adf
React-RCTAnimation: d7f4137fc44a08bba465267ea7cb1dbdb7c4ec87
React-RCTAppDelegate: 2b3f4d8009796af209a0d496e73276b743acee08
React-RCTBlob: c6c3e1e0251700b7bea036b893913f22e2b9cb47
React-RCTFabric: 93a3ea55169d19294f07092013c1c9ea7a015c9b
React-RCTImage: 40528ab74a4fef0f0e2ee797a074b26d120b6cc6
React-RCTLinking: 385b5beb96749aae9ae1606746e883e1c9f8a6a7
React-RCTNetwork: ffc9f05bd8fa5b3bce562199ba41235ad0af645c
React-RCTSettings: 21914178bb65cb2c20c655ae1fb401617ae74618
React-RCTText: 7f8dba1a311e99f4de15bbace2350e805f33f024
React-RCTVibration: e4ccf673579d0d94a96b3a0b64492db08f8324d5
React-rendererdebug: ac70f40de137ce7bdbc55eaee60c467a215d9923
React-rncore: edfff7a3f7f82ca1e0ba26978c6d84c7a8970dac
React-RuntimeApple: a0c98b75571aa5f44ddc7c6e9fd55803fa4db00f
React-RuntimeCore: 4b8db1fe2f3f4a3a5ecb22e1a419824e3e2cd7ef
React-runtimeexecutor: 5961acc7a77b69f964e1645a5d6069e124ce6b37
React-RuntimeHermes: c5825bfae4815fdf4e9e639340c3a986a491884c
React-runtimescheduler: 56b642bf605ba5afa500d35790928fc1d51565ad
React-utils: 4476b7fcbbd95cfd002f3e778616155241d86e31
ReactCommon: ecad995f26e0d1e24061f60f4e5d74782f003f12
RNPermissions: ef39e995e1cad6dd8aae8b169fe92c6e6a5a4df3
RNVectorIcons: 2a2f79274248390b80684ea3c4400bd374a15c90
SocketRocket: abac6f5de4d4d62d24e11868d7a2f427e0ef940d
Yoga: ae3c32c514802d30f687a04a6a35b348506d411f
PODFILE CHECKSUM: d0053847673fe925bd6bdae7cc3b568c751250fe
COCOAPODS: 1.14.3
```
|
/content/code_sandbox/example/ios/Podfile.lock
|
json
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 14,420
|
```objective-c
// AutolinkedNativeModules.g.h contents generated by "react-native autolink-windows"
#pragma once
namespace winrt::Microsoft::ReactNative
{
void RegisterAutolinkedNativeModulePackages(winrt::Windows::Foundation::Collections::IVector<winrt::Microsoft::ReactNative::IReactPackageProvider> const& packageProviders);
}
```
|
/content/code_sandbox/example/windows/Example/AutolinkedNativeModules.g.h
|
objective-c
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 74
|
```unknown
<?xml version="1.0" encoding="utf-8"?>
<Package
xmlns="path_to_url"
xmlns:mp="path_to_url"
xmlns:uap="path_to_url"
xmlns:uap3="path_to_url"
xmlns:uap6="path_to_url"
xmlns:iot="path_to_url"
xmlns:uap4="path_to_url"
xmlns:uap2="path_to_url"
IgnorableNamespaces="uap mp uap3 uap6 iot uap4 uap2">
<Identity
Name="PermissionsExample"
Publisher="CN=ja"
Version="1.0.0.0" />
<mp:PhoneIdentity PhoneProductId="5ec1b327-0daf-4d35-8935-56add04468c5" PhonePublisherId="00000000-0000-0000-0000-000000000000"/>
<Properties>
<DisplayName>Example</DisplayName>
<PublisherDisplayName>ja</PublisherDisplayName>
<Logo>Assets\StoreLogo.png</Logo>
</Properties>
<Dependencies>
<TargetDeviceFamily Name="Windows.Universal" MinVersion="10.0.0.0" MaxVersionTested="10.0.0.0" />
</Dependencies>
<Resources>
<Resource Language="x-generate"/>
</Resources>
<Applications>
<Application Id="App"
Executable="$targetnametoken$.exe"
EntryPoint="Example.App">
<uap:VisualElements
DisplayName="Example"
Square150x150Logo="Assets\Square150x150Logo.png"
Square44x44Logo="Assets\Square44x44Logo.png"
Description="Example"
BackgroundColor="transparent">
<uap:DefaultTile Wide310x150Logo="Assets\Wide310x150Logo.png"/>
<uap:SplashScreen Image="Assets\SplashScreen.png" />
</uap:VisualElements>
</Application>
</Applications>
<Capabilities>
<Capability Name="internetClient" />
<Capability Name="allJoyn"/>
<uap:Capability Name="appointments"/>
<uap3:Capability Name="backgroundMediaPlayback"/>
<uap:Capability Name="blockedChatMessages"/>
<uap:Capability Name="chat"/>
<Capability Name="codeGeneration"/>
<uap:Capability Name="contacts"/>
<uap:Capability Name="enterpriseAuthentication"/>
<uap6:Capability Name="graphicsCapture"/>
<Capability Name="internetClientServer"/>
<iot:Capability Name="lowLevelDevices"/>
<uap:Capability Name="musicLibrary"/>
<uap:Capability Name="objects3D"/>
<uap4:Capability Name="offlineMapsManagement"/>
<uap:Capability Name="phoneCall"/>
<uap2:Capability Name="phoneCallHistoryPublic"/>
<uap:Capability Name="picturesLibrary"/>
<Capability Name="privateNetworkClientServer"/>
<uap:Capability Name="removableStorage"/>
<uap3:Capability Name="remoteSystem"/>
<uap:Capability Name="sharedUserCertificates"/>
<uap2:Capability Name="spatialPerception"/>
<iot:Capability Name="systemManagement"/>
<uap:Capability Name="userAccountInformation"/>
<uap4:Capability Name="userDataTasks"/>
<uap3:Capability Name="userNotificationListener"/>
<uap:Capability Name="videosLibrary"/>
<uap:Capability Name="voipCall"/>
<DeviceCapability Name="bluetooth"/>
<DeviceCapability Name="gazeInput"/>
<DeviceCapability Name="location"/>
<DeviceCapability Name="lowLevel"/>
<DeviceCapability Name="microphone"/>
<DeviceCapability Name="pointOfService"/>
<DeviceCapability Name="proximity"/>
<DeviceCapability Name="webcam"/>
</Capabilities>
</Package>
```
|
/content/code_sandbox/example/windows/Example/Package.appxmanifest
|
unknown
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 852
|
```xml
<?xml version="1.0" encoding="utf-8"?>
<Project ToolsVersion="4.0" xmlns="path_to_url">
<ItemGroup>
<ApplicationDefinition Include="App.xaml" />
</ItemGroup>
<ItemGroup>
<Midl Include="App.idl" />
</ItemGroup>
<ItemGroup>
<ClCompile Include="pch.cpp" />
<ClCompile Include="App.cpp" />
<ClCompile Include="$(GeneratedFilesDir)module.g.cpp" />
<ClCompile Include="ReactPackageProvider.cpp" />
<ClCompile Include="AutolinkedNativeModules.g.cpp" />
</ItemGroup>
<ItemGroup>
<ClInclude Include="pch.h" />
<ClInclude Include="App.h" />
<ClInclude Include="ReactPackageProvider.h" />
<ClInclude Include="AutolinkedNativeModules.g.h" />
</ItemGroup>
<ItemGroup>
<Image Include="Assets\Wide310x150Logo.scale-200.png">
<Filter>Assets</Filter>
</Image>
<Image Include="Assets\StoreLogo.png">
<Filter>Assets</Filter>
</Image>
<Image Include="Assets\Square150x150Logo.scale-200.png">
<Filter>Assets</Filter>
</Image>
<Image Include="Assets\Square44x44Logo.targetsize-24_altform-unplated.png">
<Filter>Assets</Filter>
</Image>
<Image Include="Assets\Square44x44Logo.scale-200.png">
<Filter>Assets</Filter>
</Image>
<Image Include="Assets\SplashScreen.scale-200.png">
<Filter>Assets</Filter>
</Image>
<Image Include="Assets\LockScreenLogo.scale-200.png">
<Filter>Assets</Filter>
</Image>
</ItemGroup>
<ItemGroup>
<AppxManifest Include="Package.appxmanifest" />
</ItemGroup>
<ItemGroup>
<Filter Include="Assets">
<UniqueIdentifier>{e48dc53e-40b1-40cb-970a-f89935452892}</UniqueIdentifier>
</Filter>
</ItemGroup>
<ItemGroup>
<None Include="PropertySheet.props" />
<None Include="packages.config" />
</ItemGroup>
<ItemGroup>
<Text Include="readme.txt" />
</ItemGroup>
</Project>
```
|
/content/code_sandbox/example/windows/Example/Example.vcxproj.filters
|
xml
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 534
|
```c++
#include "pch.h"
#include "App.h"
#include "AutolinkedNativeModules.g.h"
#include "ReactPackageProvider.h"
using namespace winrt::Example;
using namespace winrt::Example::implementation;
/// <summary>
/// Initializes the singleton application object. This is the first line of
/// authored code executed, and as such is the logical equivalent of main() or
/// WinMain().
/// </summary>
App::App() noexcept
{
MainComponentName(L"RNPermissionsExample");
#if BUNDLE
JavaScriptBundleFile(L"index.windows");
InstanceSettings().UseWebDebugger(false);
InstanceSettings().UseFastRefresh(false);
#else
JavaScriptMainModuleName(L"index");
InstanceSettings().UseWebDebugger(true);
InstanceSettings().UseFastRefresh(true);
#endif
#if _DEBUG
InstanceSettings().EnableDeveloperMenu(true);
#else
InstanceSettings().EnableDeveloperMenu(false);
#endif
RegisterAutolinkedNativeModulePackages(PackageProviders()); // Includes any autolinked modules
PackageProviders().Append(make<ReactPackageProvider>()); // Includes all modules in this project
PackageProviders().Append(winrt::RNPermissions::ReactPackageProvider());
InitializeComponent();
}
```
|
/content/code_sandbox/example/windows/Example/App.cpp
|
c++
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 254
|
```xml
<react:ReactApplication
x:Class="Example.App"
xmlns="path_to_url"
xmlns:x="path_to_url"
xmlns:local="using:Example"
xmlns:react="using:Microsoft.ReactNative">
<Application.Resources>
<XamlControlsResources xmlns="using:Microsoft.UI.Xaml.Controls" />
</Application.Resources>
</react:ReactApplication>
```
|
/content/code_sandbox/example/windows/Example/App.xaml
|
xml
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 82
|
```unknown
<?xml version="1.0" encoding="utf-8"?>
<packages>
<package id="Microsoft.Windows.CppWinRT" version="2.0.210312.4" targetFramework="native" />
<package id="Microsoft.UI.Xaml" version="2.3.191129002" targetFramework="native" />
</packages>
```
|
/content/code_sandbox/example/windows/Example/packages.config
|
unknown
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 75
|
```objective-c
#pragma once
#include "winrt/Microsoft.ReactNative.h"
namespace winrt::Example::implementation
{
struct ReactPackageProvider : winrt::implements<ReactPackageProvider, winrt::Microsoft::ReactNative::IReactPackageProvider>
{
public: // IReactPackageProvider
void CreatePackage(winrt::Microsoft::ReactNative::IReactPackageBuilder const &packageBuilder) noexcept;
};
} // namespace winrt::Example::implementation
```
|
/content/code_sandbox/example/windows/Example/ReactPackageProvider.h
|
objective-c
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 97
|
```c++
#include "pch.h"
```
|
/content/code_sandbox/example/windows/Example/pch.cpp
|
c++
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 6
|
```c++
// AutolinkedNativeModules.g.cpp contents generated by "react-native autolink-windows"
#include "pch.h"
#include "AutolinkedNativeModules.g.h"
namespace winrt::Microsoft::ReactNative
{
void RegisterAutolinkedNativeModulePackages(winrt::Windows::Foundation::Collections::IVector<winrt::Microsoft::ReactNative::IReactPackageProvider> const& packageProviders)
{
}
}
```
|
/content/code_sandbox/example/windows/Example/AutolinkedNativeModules.g.cpp
|
c++
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 89
|
```objective-c
#pragma once
#define NOMINMAX
#include <hstring.h>
#include <restrictederrorinfo.h>
#include <unknwn.h>
#include <windows.h>
#include <winrt/Windows.ApplicationModel.Activation.h>
#include <winrt/Windows.Foundation.Collections.h>
#include <winrt/Windows.Foundation.h>
#include <winrt/Windows.UI.Xaml.Controls.Primitives.h>
#include <winrt/Windows.UI.Xaml.Controls.h>
#include <winrt/Windows.UI.Xaml.Data.h>
#include <winrt/Windows.UI.Xaml.Interop.h>
#include <winrt/Windows.UI.Xaml.Markup.h>
#include <winrt/Windows.UI.Xaml.Navigation.h>
#include <winrt/Windows.UI.Xaml.h>
#include <winrt/Microsoft.ReactNative.h>
#include <winrt/Microsoft.UI.Xaml.Automation.Peers.h>
#include <winrt/Microsoft.UI.Xaml.Controls.Primitives.h>
#include <winrt/Microsoft.UI.Xaml.Controls.h>
#include <winrt/Microsoft.UI.Xaml.Media.h>
#include <winrt/Microsoft.UI.Xaml.XamlTypeInfo.h>
#include "winrt/RNPermissions.h"
```
|
/content/code_sandbox/example/windows/Example/pch.h
|
objective-c
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 223
|
```unknown
namespace Example
{
}
```
|
/content/code_sandbox/example/windows/Example/App.idl
|
unknown
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 6
|
```unknown
Microsoft Visual Studio Solution File, Format Version 12.00
# Visual Studio Version 16
VisualStudioVersion = 16.0.29215.179
MinimumVisualStudioVersion = 10.0.40219.1
Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "Example", "Example\Example.vcxproj", "{17FAB8EC-5020-4037-A6C7-D83295B29658}"
ProjectSection(ProjectDependencies) = postProject
{F7D32BD0-2749-483E-9A0D-1635EF7E3136} = {F7D32BD0-2749-483E-9A0D-1635EF7E3136}
EndProjectSection
EndProject
Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "Folly", "..\node_modules\react-native-windows\Folly\Folly.vcxproj", "{A990658C-CE31-4BCC-976F-0FC6B1AF693D}"
EndProject
Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "ReactCommon", "..\node_modules\react-native-windows\ReactCommon\ReactCommon.vcxproj", "{A9D95A91-4DB7-4F72-BEB6-FE8A5C89BFBD}"
ProjectSection(ProjectDependencies) = postProject
{A990658C-CE31-4BCC-976F-0FC6B1AF693D} = {A990658C-CE31-4BCC-976F-0FC6B1AF693D}
EndProjectSection
EndProject
Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "ReactWindowsCore", "..\node_modules\react-native-windows\ReactWindowsCore\ReactWindowsCore.vcxproj", "{11C084A3-A57C-4296-A679-CAC17B603144}"
ProjectSection(ProjectDependencies) = postProject
{A990658C-CE31-4BCC-976F-0FC6B1AF693D} = {A990658C-CE31-4BCC-976F-0FC6B1AF693D}
EndProjectSection
EndProject
Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "Chakra", "..\node_modules\react-native-windows\Chakra\Chakra.vcxitems", "{C38970C0-5FBF-4D69-90D8-CBAC225AE895}"
EndProject
Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "Microsoft.ReactNative", "..\node_modules\react-native-windows\Microsoft.ReactNative\Microsoft.ReactNative.vcxproj", "{F7D32BD0-2749-483E-9A0D-1635EF7E3136}"
EndProject
Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "JSI.Shared", "..\node_modules\react-native-windows\JSI\Shared\JSI.Shared.vcxitems", "{0CC28589-39E4-4288-B162-97B959F8B843}"
EndProject
Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "JSI.Universal", "..\node_modules\react-native-windows\JSI\Universal\JSI.Universal.vcxproj", "{A62D504A-16B8-41D2-9F19-E2E86019E5E4}"
EndProject
Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "Microsoft.ReactNative.Cxx", "..\node_modules\react-native-windows\Microsoft.ReactNative.Cxx\Microsoft.ReactNative.Cxx.vcxitems", "{DA8B35B3-DA00-4B02-BDE6-6A397B3FD46B}"
EndProject
Project("{D954291E-2A0B-460D-934E-DC6B0785DB48}") = "Microsoft.ReactNative.SharedManaged", "..\node_modules\react-native-windows\Microsoft.ReactNative.SharedManaged\Microsoft.ReactNative.SharedManaged.shproj", "{67A1076F-7790-4203-86EA-4402CCB5E782}"
EndProject
Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "Common", "..\node_modules\react-native-windows\Common\Common.vcxproj", "{FCA38F3C-7C73-4C47-BE4E-32F77FA8538D}"
EndProject
Project("{2150E333-8FDC-42A3-9474-1A3956D46DE8}") = "ReactNative", "ReactNative", "{5EA20F54-880A-49F3-99FA-4B3FE54E8AB1}"
EndProject
Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "Shared", "..\node_modules\react-native-windows\Shared\Shared.vcxitems", "{2049DBE9-8D13-42C9-AE4B-413AE38FFFD0}"
EndProject
Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "Mso", "..\node_modules\react-native-windows\Mso\Mso.vcxitems", "{84E05BFA-CBAF-4F0D-BFB6-4CE85742A57E}"
EndProject
Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "RNPermissions", "..\node_modules\react-native-permissions\windows\RNPermissions\RNPermissions.vcxproj", "{0E13E5B0-8524-4991-9E05-4B71A7551240}"
EndProject
Global
GlobalSection(SharedMSBuildProjectFiles) = preSolution
..\node_modules\react-native-windows\JSI\Shared\JSI.Shared.vcxitems*{0cc28589-39e4-4288-b162-97b959f8b843}*SharedItemsImports = 9
..\node_modules\react-native-windows\Microsoft.ReactNative.Cxx\Microsoft.ReactNative.Cxx.vcxitems*{0e13e5b0-8524-4991-9e05-4b71a7551240}*SharedItemsImports = 4
..\node_modules\react-native-windows\ReactWindowsCore\ReactWindowsCore.vcxitems*{11c084a3-a57c-4296-a679-cac17b603144}*SharedItemsImports = 4
..\node_modules\react-native-windows\Shared\Shared.vcxitems*{2049dbe9-8d13-42c9-ae4b-413ae38fffd0}*SharedItemsImports = 9
..\node_modules\react-native-windows\Microsoft.ReactNative.SharedManaged\Microsoft.ReactNative.SharedManaged.projitems*{67a1076f-7790-4203-86ea-4402ccb5e782}*SharedItemsImports = 13
..\node_modules\react-native-windows\Mso\Mso.vcxitems*{84e05bfa-cbaf-4f0d-bfb6-4ce85742a57e}*SharedItemsImports = 9
..\node_modules\react-native-windows\JSI\Shared\JSI.Shared.vcxitems*{a62d504a-16b8-41d2-9f19-e2e86019e5e4}*SharedItemsImports = 4
..\node_modules\react-native-windows\Chakra\Chakra.vcxitems*{c38970c0-5fbf-4d69-90d8-cbac225ae895}*SharedItemsImports = 9
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..\node_modules\react-native-windows\Chakra\Chakra.vcxitems*{f7d32bd0-2749-483e-9a0d-1635ef7e3136}*SharedItemsImports = 4
..\node_modules\react-native-windows\Microsoft.ReactNative.Cxx\Microsoft.ReactNative.Cxx.vcxitems*{f7d32bd0-2749-483e-9a0d-1635ef7e3136}*SharedItemsImports = 4
..\node_modules\react-native-windows\Mso\Mso.vcxitems*{f7d32bd0-2749-483e-9a0d-1635ef7e3136}*SharedItemsImports = 4
..\node_modules\react-native-windows\Shared\Shared.vcxitems*{f7d32bd0-2749-483e-9a0d-1635ef7e3136}*SharedItemsImports = 4
EndGlobalSection
GlobalSection(SolutionConfigurationPlatforms) = preSolution
Debug|ARM = Debug|ARM
Debug|ARM64 = Debug|ARM64
Debug|x64 = Debug|x64
Debug|x86 = Debug|x86
Release|ARM = Release|ARM
Release|ARM64 = Release|ARM64
Release|x64 = Release|x64
Release|x86 = Release|x86
EndGlobalSection
GlobalSection(ProjectConfigurationPlatforms) = postSolution
{17FAB8EC-5020-4037-A6C7-D83295B29658}.Debug|ARM.ActiveCfg = Debug|ARM
{17FAB8EC-5020-4037-A6C7-D83295B29658}.Debug|ARM.Build.0 = Debug|ARM
{17FAB8EC-5020-4037-A6C7-D83295B29658}.Debug|ARM.Deploy.0 = Debug|ARM
{17FAB8EC-5020-4037-A6C7-D83295B29658}.Debug|ARM64.ActiveCfg = Debug|ARM64
{17FAB8EC-5020-4037-A6C7-D83295B29658}.Debug|ARM64.Build.0 = Debug|ARM64
{17FAB8EC-5020-4037-A6C7-D83295B29658}.Debug|ARM64.Deploy.0 = Debug|ARM64
{17FAB8EC-5020-4037-A6C7-D83295B29658}.Debug|x64.ActiveCfg = Debug|x64
{17FAB8EC-5020-4037-A6C7-D83295B29658}.Debug|x64.Build.0 = Debug|x64
{17FAB8EC-5020-4037-A6C7-D83295B29658}.Debug|x64.Deploy.0 = Debug|x64
{17FAB8EC-5020-4037-A6C7-D83295B29658}.Debug|x86.ActiveCfg = Debug|Win32
{17FAB8EC-5020-4037-A6C7-D83295B29658}.Debug|x86.Build.0 = Debug|Win32
{17FAB8EC-5020-4037-A6C7-D83295B29658}.Debug|x86.Deploy.0 = Debug|Win32
{17FAB8EC-5020-4037-A6C7-D83295B29658}.Release|ARM.ActiveCfg = Release|ARM
{17FAB8EC-5020-4037-A6C7-D83295B29658}.Release|ARM.Build.0 = Release|ARM
{17FAB8EC-5020-4037-A6C7-D83295B29658}.Release|ARM.Deploy.0 = Release|ARM
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{17FAB8EC-5020-4037-A6C7-D83295B29658}.Release|ARM64.Deploy.0 = Release|ARM64
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{17FAB8EC-5020-4037-A6C7-D83295B29658}.Release|x86.Deploy.0 = Release|Win32
{A990658C-CE31-4BCC-976F-0FC6B1AF693D}.Debug|ARM.ActiveCfg = Debug|ARM
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{A990658C-CE31-4BCC-976F-0FC6B1AF693D}.Debug|ARM64.Build.0 = Debug|ARM64
{A990658C-CE31-4BCC-976F-0FC6B1AF693D}.Debug|x64.ActiveCfg = Debug|x64
{A990658C-CE31-4BCC-976F-0FC6B1AF693D}.Debug|x64.Build.0 = Debug|x64
{A990658C-CE31-4BCC-976F-0FC6B1AF693D}.Debug|x86.ActiveCfg = Debug|Win32
{A990658C-CE31-4BCC-976F-0FC6B1AF693D}.Debug|x86.Build.0 = Debug|Win32
{A990658C-CE31-4BCC-976F-0FC6B1AF693D}.Release|ARM.ActiveCfg = Release|ARM
{A990658C-CE31-4BCC-976F-0FC6B1AF693D}.Release|ARM.Build.0 = Release|ARM
{A990658C-CE31-4BCC-976F-0FC6B1AF693D}.Release|ARM64.ActiveCfg = Release|ARM64
{A990658C-CE31-4BCC-976F-0FC6B1AF693D}.Release|ARM64.Build.0 = Release|ARM64
{A990658C-CE31-4BCC-976F-0FC6B1AF693D}.Release|x64.ActiveCfg = Release|x64
{A990658C-CE31-4BCC-976F-0FC6B1AF693D}.Release|x64.Build.0 = Release|x64
{A990658C-CE31-4BCC-976F-0FC6B1AF693D}.Release|x86.ActiveCfg = Release|Win32
{A990658C-CE31-4BCC-976F-0FC6B1AF693D}.Release|x86.Build.0 = Release|Win32
{A9D95A91-4DB7-4F72-BEB6-FE8A5C89BFBD}.Debug|ARM.ActiveCfg = Debug|ARM
{A9D95A91-4DB7-4F72-BEB6-FE8A5C89BFBD}.Debug|ARM.Build.0 = Debug|ARM
{A9D95A91-4DB7-4F72-BEB6-FE8A5C89BFBD}.Debug|ARM64.ActiveCfg = Debug|ARM64
{A9D95A91-4DB7-4F72-BEB6-FE8A5C89BFBD}.Debug|ARM64.Build.0 = Debug|ARM64
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{A9D95A91-4DB7-4F72-BEB6-FE8A5C89BFBD}.Debug|x64.Build.0 = Debug|x64
{A9D95A91-4DB7-4F72-BEB6-FE8A5C89BFBD}.Debug|x86.ActiveCfg = Debug|Win32
{A9D95A91-4DB7-4F72-BEB6-FE8A5C89BFBD}.Debug|x86.Build.0 = Debug|Win32
{A9D95A91-4DB7-4F72-BEB6-FE8A5C89BFBD}.Release|ARM.ActiveCfg = Release|ARM
{A9D95A91-4DB7-4F72-BEB6-FE8A5C89BFBD}.Release|ARM.Build.0 = Release|ARM
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{A9D95A91-4DB7-4F72-BEB6-FE8A5C89BFBD}.Release|ARM64.Build.0 = Release|ARM64
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{A9D95A91-4DB7-4F72-BEB6-FE8A5C89BFBD}.Release|x64.Build.0 = Release|x64
{A9D95A91-4DB7-4F72-BEB6-FE8A5C89BFBD}.Release|x86.ActiveCfg = Release|Win32
{A9D95A91-4DB7-4F72-BEB6-FE8A5C89BFBD}.Release|x86.Build.0 = Release|Win32
{11C084A3-A57C-4296-A679-CAC17B603144}.Debug|ARM.ActiveCfg = Debug|ARM
{11C084A3-A57C-4296-A679-CAC17B603144}.Debug|ARM.Build.0 = Debug|ARM
{11C084A3-A57C-4296-A679-CAC17B603144}.Debug|ARM64.ActiveCfg = Debug|ARM64
{11C084A3-A57C-4296-A679-CAC17B603144}.Debug|ARM64.Build.0 = Debug|ARM64
{11C084A3-A57C-4296-A679-CAC17B603144}.Debug|x64.ActiveCfg = Debug|x64
{11C084A3-A57C-4296-A679-CAC17B603144}.Debug|x64.Build.0 = Debug|x64
{11C084A3-A57C-4296-A679-CAC17B603144}.Debug|x86.ActiveCfg = Debug|Win32
{11C084A3-A57C-4296-A679-CAC17B603144}.Debug|x86.Build.0 = Debug|Win32
{11C084A3-A57C-4296-A679-CAC17B603144}.Release|ARM.ActiveCfg = Release|ARM
{11C084A3-A57C-4296-A679-CAC17B603144}.Release|ARM.Build.0 = Release|ARM
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{11C084A3-A57C-4296-A679-CAC17B603144}.Release|x86.ActiveCfg = Release|Win32
{11C084A3-A57C-4296-A679-CAC17B603144}.Release|x86.Build.0 = Release|Win32
{F7D32BD0-2749-483E-9A0D-1635EF7E3136}.Debug|ARM.ActiveCfg = Debug|ARM
{F7D32BD0-2749-483E-9A0D-1635EF7E3136}.Debug|ARM.Build.0 = Debug|ARM
{F7D32BD0-2749-483E-9A0D-1635EF7E3136}.Debug|ARM64.ActiveCfg = Debug|ARM64
{F7D32BD0-2749-483E-9A0D-1635EF7E3136}.Debug|ARM64.Build.0 = Debug|ARM64
{F7D32BD0-2749-483E-9A0D-1635EF7E3136}.Debug|x64.ActiveCfg = Debug|x64
{F7D32BD0-2749-483E-9A0D-1635EF7E3136}.Debug|x64.Build.0 = Debug|x64
{F7D32BD0-2749-483E-9A0D-1635EF7E3136}.Debug|x86.ActiveCfg = Debug|Win32
{F7D32BD0-2749-483E-9A0D-1635EF7E3136}.Debug|x86.Build.0 = Debug|Win32
{F7D32BD0-2749-483E-9A0D-1635EF7E3136}.Release|ARM.ActiveCfg = Release|ARM
{F7D32BD0-2749-483E-9A0D-1635EF7E3136}.Release|ARM.Build.0 = Release|ARM
{F7D32BD0-2749-483E-9A0D-1635EF7E3136}.Release|ARM64.ActiveCfg = Release|ARM64
{F7D32BD0-2749-483E-9A0D-1635EF7E3136}.Release|ARM64.Build.0 = Release|ARM64
{F7D32BD0-2749-483E-9A0D-1635EF7E3136}.Release|x64.ActiveCfg = Release|x64
{F7D32BD0-2749-483E-9A0D-1635EF7E3136}.Release|x64.Build.0 = Release|x64
{F7D32BD0-2749-483E-9A0D-1635EF7E3136}.Release|x86.ActiveCfg = Release|Win32
{F7D32BD0-2749-483E-9A0D-1635EF7E3136}.Release|x86.Build.0 = Release|Win32
{A62D504A-16B8-41D2-9F19-E2E86019E5E4}.Debug|ARM.ActiveCfg = Debug|ARM
{A62D504A-16B8-41D2-9F19-E2E86019E5E4}.Debug|ARM.Build.0 = Debug|ARM
{A62D504A-16B8-41D2-9F19-E2E86019E5E4}.Debug|ARM64.ActiveCfg = Debug|ARM64
{A62D504A-16B8-41D2-9F19-E2E86019E5E4}.Debug|ARM64.Build.0 = Debug|ARM64
{A62D504A-16B8-41D2-9F19-E2E86019E5E4}.Debug|x64.ActiveCfg = Debug|x64
{A62D504A-16B8-41D2-9F19-E2E86019E5E4}.Debug|x64.Build.0 = Debug|x64
{A62D504A-16B8-41D2-9F19-E2E86019E5E4}.Debug|x86.ActiveCfg = Debug|Win32
{A62D504A-16B8-41D2-9F19-E2E86019E5E4}.Debug|x86.Build.0 = Debug|Win32
{A62D504A-16B8-41D2-9F19-E2E86019E5E4}.Release|ARM.ActiveCfg = Release|ARM
{A62D504A-16B8-41D2-9F19-E2E86019E5E4}.Release|ARM.Build.0 = Release|ARM
{A62D504A-16B8-41D2-9F19-E2E86019E5E4}.Release|ARM64.ActiveCfg = Release|ARM64
{A62D504A-16B8-41D2-9F19-E2E86019E5E4}.Release|ARM64.Build.0 = Release|ARM64
{A62D504A-16B8-41D2-9F19-E2E86019E5E4}.Release|x64.ActiveCfg = Release|x64
{A62D504A-16B8-41D2-9F19-E2E86019E5E4}.Release|x64.Build.0 = Release|x64
{A62D504A-16B8-41D2-9F19-E2E86019E5E4}.Release|x86.ActiveCfg = Release|Win32
{A62D504A-16B8-41D2-9F19-E2E86019E5E4}.Release|x86.Build.0 = Release|Win32
{FCA38F3C-7C73-4C47-BE4E-32F77FA8538D}.Debug|ARM.ActiveCfg = Debug|ARM
{FCA38F3C-7C73-4C47-BE4E-32F77FA8538D}.Debug|ARM.Build.0 = Debug|ARM
{FCA38F3C-7C73-4C47-BE4E-32F77FA8538D}.Debug|ARM64.ActiveCfg = Debug|ARM64
{FCA38F3C-7C73-4C47-BE4E-32F77FA8538D}.Debug|ARM64.Build.0 = Debug|ARM64
{FCA38F3C-7C73-4C47-BE4E-32F77FA8538D}.Debug|x64.ActiveCfg = Debug|x64
{FCA38F3C-7C73-4C47-BE4E-32F77FA8538D}.Debug|x64.Build.0 = Debug|x64
{FCA38F3C-7C73-4C47-BE4E-32F77FA8538D}.Debug|x86.ActiveCfg = Debug|Win32
{FCA38F3C-7C73-4C47-BE4E-32F77FA8538D}.Debug|x86.Build.0 = Debug|Win32
{FCA38F3C-7C73-4C47-BE4E-32F77FA8538D}.Release|ARM.ActiveCfg = Release|ARM
{FCA38F3C-7C73-4C47-BE4E-32F77FA8538D}.Release|ARM.Build.0 = Release|ARM
{FCA38F3C-7C73-4C47-BE4E-32F77FA8538D}.Release|ARM64.ActiveCfg = Release|ARM64
{FCA38F3C-7C73-4C47-BE4E-32F77FA8538D}.Release|ARM64.Build.0 = Release|ARM64
{FCA38F3C-7C73-4C47-BE4E-32F77FA8538D}.Release|x64.ActiveCfg = Release|x64
{FCA38F3C-7C73-4C47-BE4E-32F77FA8538D}.Release|x64.Build.0 = Release|x64
{FCA38F3C-7C73-4C47-BE4E-32F77FA8538D}.Release|x86.ActiveCfg = Release|Win32
{FCA38F3C-7C73-4C47-BE4E-32F77FA8538D}.Release|x86.Build.0 = Release|Win32
{0E13E5B0-8524-4991-9E05-4B71A7551240}.Debug|ARM.ActiveCfg = Debug|ARM
{0E13E5B0-8524-4991-9E05-4B71A7551240}.Debug|ARM.Build.0 = Debug|ARM
{0E13E5B0-8524-4991-9E05-4B71A7551240}.Debug|ARM64.ActiveCfg = Debug|ARM64
{0E13E5B0-8524-4991-9E05-4B71A7551240}.Debug|ARM64.Build.0 = Debug|ARM64
{0E13E5B0-8524-4991-9E05-4B71A7551240}.Debug|x64.ActiveCfg = Debug|x64
{0E13E5B0-8524-4991-9E05-4B71A7551240}.Debug|x64.Build.0 = Debug|x64
{0E13E5B0-8524-4991-9E05-4B71A7551240}.Debug|x86.ActiveCfg = Debug|Win32
{0E13E5B0-8524-4991-9E05-4B71A7551240}.Debug|x86.Build.0 = Debug|Win32
{0E13E5B0-8524-4991-9E05-4B71A7551240}.Release|ARM.ActiveCfg = Release|ARM
{0E13E5B0-8524-4991-9E05-4B71A7551240}.Release|ARM.Build.0 = Release|ARM
{0E13E5B0-8524-4991-9E05-4B71A7551240}.Release|ARM64.ActiveCfg = Release|ARM64
{0E13E5B0-8524-4991-9E05-4B71A7551240}.Release|ARM64.Build.0 = Release|ARM64
{0E13E5B0-8524-4991-9E05-4B71A7551240}.Release|x64.ActiveCfg = Release|x64
{0E13E5B0-8524-4991-9E05-4B71A7551240}.Release|x64.Build.0 = Release|x64
{0E13E5B0-8524-4991-9E05-4B71A7551240}.Release|x86.ActiveCfg = Release|Win32
{0E13E5B0-8524-4991-9E05-4B71A7551240}.Release|x86.Build.0 = Release|Win32
EndGlobalSection
GlobalSection(SolutionProperties) = preSolution
HideSolutionNode = FALSE
EndGlobalSection
GlobalSection(NestedProjects) = preSolution
{A990658C-CE31-4BCC-976F-0FC6B1AF693D} = {5EA20F54-880A-49F3-99FA-4B3FE54E8AB1}
{A9D95A91-4DB7-4F72-BEB6-FE8A5C89BFBD} = {5EA20F54-880A-49F3-99FA-4B3FE54E8AB1}
{11C084A3-A57C-4296-A679-CAC17B603144} = {5EA20F54-880A-49F3-99FA-4B3FE54E8AB1}
{C38970C0-5FBF-4D69-90D8-CBAC225AE895} = {5EA20F54-880A-49F3-99FA-4B3FE54E8AB1}
{F7D32BD0-2749-483E-9A0D-1635EF7E3136} = {5EA20F54-880A-49F3-99FA-4B3FE54E8AB1}
{0CC28589-39E4-4288-B162-97B959F8B843} = {5EA20F54-880A-49F3-99FA-4B3FE54E8AB1}
{A62D504A-16B8-41D2-9F19-E2E86019E5E4} = {5EA20F54-880A-49F3-99FA-4B3FE54E8AB1}
{DA8B35B3-DA00-4B02-BDE6-6A397B3FD46B} = {5EA20F54-880A-49F3-99FA-4B3FE54E8AB1}
{67A1076F-7790-4203-86EA-4402CCB5E782} = {5EA20F54-880A-49F3-99FA-4B3FE54E8AB1}
{FCA38F3C-7C73-4C47-BE4E-32F77FA8538D} = {5EA20F54-880A-49F3-99FA-4B3FE54E8AB1}
{2049DBE9-8D13-42C9-AE4B-413AE38FFFD0} = {5EA20F54-880A-49F3-99FA-4B3FE54E8AB1}
{84E05BFA-CBAF-4F0D-BFB6-4CE85742A57E} = {5EA20F54-880A-49F3-99FA-4B3FE54E8AB1}
EndGlobalSection
GlobalSection(ExtensibilityGlobals) = postSolution
SolutionGuid = {D43FAD39-F619-437D-BB40-04A3982ACB6A}
EndGlobalSection
EndGlobal
```
|
/content/code_sandbox/example/windows/Example.sln
|
unknown
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 8,355
|
```xml
<?xml version="1.0" encoding="utf-8"?>
<Project ToolsVersion="4.0" xmlns="path_to_url">
<ImportGroup Label="PropertySheets" />
<PropertyGroup Label="UserMacros" />
<!--
To customize common C++/WinRT project properties:
* right-click the project node
* expand the Common Properties item
* select the C++/WinRT property page
For more advanced scenarios, and complete documentation, please see:
path_to_url
-->
<PropertyGroup />
<ItemDefinitionGroup />
</Project>
```
|
/content/code_sandbox/example/windows/Example/PropertySheet.props
|
xml
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 129
|
```xml
<?xml version="1.0" encoding="utf-8"?>
<Project ToolsVersion="16.0" DefaultTargets="Build" xmlns="path_to_url">
<Import Project="..\packages\Microsoft.Windows.CppWinRT.2.0.210312.4\build\native\Microsoft.Windows.CppWinRT.props" Condition="Exists('..\packages\Microsoft.Windows.CppWinRT.2.0.210312.4\build\native\Microsoft.Windows.CppWinRT.props')" />
<PropertyGroup Label="Globals">
<CppWinRTOptimized>true</CppWinRTOptimized>
<CppWinRTRootNamespaceAutoMerge>true</CppWinRTRootNamespaceAutoMerge>
<MinimalCoreWin>true</MinimalCoreWin>
<ProjectGuid>{17fab8ec-5020-4037-a6c7-d83295b29658}</ProjectGuid>
<ProjectName>Example</ProjectName>
<RootNamespace>Example</RootNamespace>
<DefaultLanguage>en-US</DefaultLanguage>
<MinimumVisualStudioVersion>16.0</MinimumVisualStudioVersion>
<AppContainerApplication>true</AppContainerApplication>
<ApplicationType>Windows Store</ApplicationType>
<ApplicationTypeRevision>10.0</ApplicationTypeRevision>
<WindowsTargetPlatformVersion Condition=" '$(WindowsTargetPlatformVersion)' == '' ">10.0.18362.0</WindowsTargetPlatformVersion>
<WindowsTargetPlatformMinVersion>10.0.16299.0</WindowsTargetPlatformMinVersion>
<PackageCertificateKeyFile>Example_TemporaryKey.pfx</PackageCertificateKeyFile>
<PackageCertificateThumbprint>C6ADC4B2C493E8B537BAA92D0125A6FEC2FE3079</PackageCertificateThumbprint>
<PackageCertificatePassword>password</PackageCertificatePassword>
</PropertyGroup>
<Import Project="$(VCTargetsPath)\Microsoft.Cpp.Default.props" />
<ItemGroup Label="ProjectConfigurations">
<ProjectConfiguration Include="Debug|ARM">
<Configuration>Debug</Configuration>
<Platform>ARM</Platform>
</ProjectConfiguration>
<ProjectConfiguration Include="Debug|ARM64">
<Configuration>Debug</Configuration>
<Platform>ARM64</Platform>
</ProjectConfiguration>
<ProjectConfiguration Include="Debug|Win32">
<Configuration>Debug</Configuration>
<Platform>Win32</Platform>
</ProjectConfiguration>
<ProjectConfiguration Include="Debug|x64">
<Configuration>Debug</Configuration>
<Platform>x64</Platform>
</ProjectConfiguration>
<ProjectConfiguration Include="Release|ARM">
<Configuration>Release</Configuration>
<Platform>ARM</Platform>
</ProjectConfiguration>
<ProjectConfiguration Include="Release|ARM64">
<Configuration>Release</Configuration>
<Platform>ARM64</Platform>
</ProjectConfiguration>
<ProjectConfiguration Include="Release|Win32">
<Configuration>Release</Configuration>
<Platform>Win32</Platform>
</ProjectConfiguration>
<ProjectConfiguration Include="Release|x64">
<Configuration>Release</Configuration>
<Platform>x64</Platform>
</ProjectConfiguration>
</ItemGroup>
<PropertyGroup Label="Configuration">
<ConfigurationType>Application</ConfigurationType>
<CharacterSet>Unicode</CharacterSet>
</PropertyGroup>
<PropertyGroup Condition="'$(Configuration)'=='Debug'" Label="Configuration">
<UseDebugLibraries>true</UseDebugLibraries>
<LinkIncremental>true</LinkIncremental>
</PropertyGroup>
<PropertyGroup Condition="'$(Configuration)'=='Release'" Label="Configuration">
<UseDebugLibraries>false</UseDebugLibraries>
<WholeProgramOptimization>true</WholeProgramOptimization>
<LinkIncremental>false</LinkIncremental>
</PropertyGroup>
<Import Project="$(VCTargetsPath)\Microsoft.Cpp.props" />
<ImportGroup Label="ExtensionSettings">
</ImportGroup>
<ImportGroup Label="PropertySheets">
<Import Project="$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props" Condition="exists('$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props')" Label="LocalAppDataPlatform" />
</ImportGroup>
<ImportGroup Label="PropertySheets">
<Import Project="PropertySheet.props" />
</ImportGroup>
<PropertyGroup Label="UserMacros" />
<ItemDefinitionGroup>
<ClCompile>
<PrecompiledHeader>Use</PrecompiledHeader>
<PrecompiledHeaderFile>pch.h</PrecompiledHeaderFile>
<PrecompiledHeaderOutputFile>$(IntDir)pch.pch</PrecompiledHeaderOutputFile>
<WarningLevel>Level4</WarningLevel>
<AdditionalOptions>%(AdditionalOptions) /bigobj</AdditionalOptions>
<DisableSpecificWarnings>4453;28204</DisableSpecificWarnings>
</ClCompile>
</ItemDefinitionGroup>
<ItemDefinitionGroup Condition="'$(Configuration)'=='Debug'">
<ClCompile>
<PreprocessorDefinitions>_DEBUG;%(PreprocessorDefinitions)</PreprocessorDefinitions>
</ClCompile>
</ItemDefinitionGroup>
<ItemDefinitionGroup Condition="'$(Configuration)'=='Release'">
<ClCompile>
<PreprocessorDefinitions>NDEBUG;%(PreprocessorDefinitions)</PreprocessorDefinitions>
</ClCompile>
</ItemDefinitionGroup>
<ItemGroup>
<ClInclude Include="ReactPackageProvider.h" />
<ClInclude Include="AutolinkedNativeModules.g.h" />
<ClInclude Include="pch.h" />
<ClInclude Include="App.h">
<DependentUpon>App.xaml</DependentUpon>
</ClInclude>
</ItemGroup>
<ItemGroup>
<ApplicationDefinition Include="App.xaml">
<SubType>Designer</SubType>
</ApplicationDefinition>
</ItemGroup>
<ItemGroup>
<AppxManifest Include="Package.appxmanifest">
<SubType>Designer</SubType>
</AppxManifest>
</ItemGroup>
<ItemGroup>
<Image Include="Assets\LockScreenLogo.scale-200.png" />
<Image Include="Assets\SplashScreen.scale-200.png" />
<Image Include="Assets\Square150x150Logo.scale-200.png" />
<Image Include="Assets\Square44x44Logo.scale-200.png" />
<Image Include="Assets\Square44x44Logo.targetsize-24_altform-unplated.png" />
<Image Include="Assets\StoreLogo.png" />
<Image Include="Assets\Wide310x150Logo.scale-200.png" />
</ItemGroup>
<ItemGroup>
<ClCompile Include="ReactPackageProvider.cpp" />
<ClCompile Include="AutolinkedNativeModules.g.cpp" />
<ClCompile Include="pch.cpp">
<PrecompiledHeader>Create</PrecompiledHeader>
</ClCompile>
<ClCompile Include="App.cpp">
<DependentUpon>App.xaml</DependentUpon>
</ClCompile>
<ClCompile Include="$(GeneratedFilesDir)module.g.cpp" />
</ItemGroup>
<ItemGroup>
<Midl Include="App.idl">
<DependentUpon>App.xaml</DependentUpon>
</Midl>
</ItemGroup>
<ItemGroup>
<None Include="packages.config" />
<None Include="PropertySheet.props" />
<Text Include="readme.txt">
<DeploymentContent>false</DeploymentContent>
</Text>
</ItemGroup>
<ItemGroup>
<ProjectReference Include="..\..\node_modules\react-native-permissions\windows\RNPermissions\RNPermissions.vcxproj">
<Project>{0e13e5b0-8524-4991-9e05-4b71a7551240}</Project>
</ProjectReference>
</ItemGroup>
<Import Project="$(VCTargetsPath)\Microsoft.Cpp.targets" />
<PropertyGroup Label="ReactNativeWindowsNodeProps">
<ReactNativeWindowsDir Condition="'$(ReactNativeWindowsDir)' == ''">$([MSBuild]::GetDirectoryNameOfFileAbove($(MSBuildThisFileDirectory), 'node_modules\react-native-windows\package.json'))\node_modules\react-native-windows\</ReactNativeWindowsDir>
</PropertyGroup>
<ImportGroup Label="ReactNativeWindowsNodeTargets">
<Import Project="$(ReactNativeWindowsDir)\PropertySheets\External\Microsoft.ReactNative.Uwp.CppApp.props" Condition="Exists('$(ReactNativeWindowsDir)\PropertySheets\External\Microsoft.ReactNative.Uwp.CppApp.props')" />
<Import Project="$(ReactNativeWindowsDir)\PropertySheets\External\Microsoft.ReactNative.Uwp.CppApp.targets" Condition="Exists('$(ReactNativeWindowsDir)\PropertySheets\External\Microsoft.ReactNative.Uwp.CppApp.targets')" />
</ImportGroup>
<Target Name="EnsureReactNativeWindowsNodeTargets" BeforeTargets="PrepareForBuild">
<PropertyGroup>
<ErrorText>This project references targets in your node_modules\react-native-windows folder. The missing file is {0}.</ErrorText>
</PropertyGroup>
<Error Condition="!Exists('$(ReactNativeWindowsDir)\PropertySheets\External\Microsoft.ReactNative.Uwp.CppApp.props')" Text="$([System.String]::Format('$(ErrorText)', '$(ReactNativeWindowsDir)\PropertySheets\External\Microsoft.ReactNative.Uwp.CppApp.props'))" />
<Error Condition="!Exists('$(ReactNativeWindowsDir)\PropertySheets\External\Microsoft.ReactNative.Uwp.CppApp.targets')" Text="$([System.String]::Format('$(ErrorText)', '$(ReactNativeWindowsDir)\PropertySheets\External\Microsoft.ReactNative.Uwp.CppApp.targets'))" />
</Target>
<ImportGroup Label="ExtensionTargets">
<Import Project="..\packages\Microsoft.Windows.CppWinRT.2.0.210312.4\build\native\Microsoft.Windows.CppWinRT.targets" Condition="Exists('..\packages\Microsoft.Windows.CppWinRT.2.0.210312.4\build\native\Microsoft.Windows.CppWinRT.targets')" />
<Import Project="..\packages\Microsoft.UI.Xaml.2.3.191129002\build\native\Microsoft.UI.Xaml.targets" Condition="Exists('..\packages\Microsoft.UI.Xaml.2.3.191129002\build\native\Microsoft.UI.Xaml.targets')" />
</ImportGroup>
</Project>
```
|
/content/code_sandbox/example/windows/Example/Example.vcxproj
|
xml
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 2,269
|
```c++
#include "pch.h"
#include "ReactPackageProvider.h"
#include "NativeModules.h"
using namespace winrt::Microsoft::ReactNative;
namespace winrt::Example::implementation
{
void ReactPackageProvider::CreatePackage(IReactPackageBuilder const &packageBuilder) noexcept
{
AddAttributedModules(packageBuilder);
}
} // namespace winrt::Example::implementation
```
|
/content/code_sandbox/example/windows/Example/ReactPackageProvider.cpp
|
c++
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 76
|
```objective-c
#pragma once
#include "App.xaml.g.h"
namespace winrt::Example::implementation
{
struct App : AppT<App>
{
App() noexcept;
};
} // namespace winrt::Example::implementation
```
|
/content/code_sandbox/example/windows/Example/App.h
|
objective-c
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 47
|
```batchfile
@rem
@rem
@rem
@rem path_to_url
@rem
@rem Unless required by applicable law or agreed to in writing, software
@rem WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
@rem
@if "%DEBUG%"=="" @echo off
@rem ##########################################################################
@rem
@rem Gradle startup script for Windows
@rem
@rem ##########################################################################
@rem Set local scope for the variables with windows NT shell
if "%OS%"=="Windows_NT" setlocal
set DIRNAME=%~dp0
if "%DIRNAME%"=="" set DIRNAME=.
@rem This is normally unused
set APP_BASE_NAME=%~n0
set APP_HOME=%DIRNAME%
@rem Resolve any "." and ".." in APP_HOME to make it shorter.
for %%i in ("%APP_HOME%") do set APP_HOME=%%~fi
@rem Add default JVM options here. You can also use JAVA_OPTS and GRADLE_OPTS to pass JVM options to this script.
set DEFAULT_JVM_OPTS="-Xmx64m" "-Xms64m"
@rem Find java.exe
if defined JAVA_HOME goto findJavaFromJavaHome
set JAVA_EXE=java.exe
%JAVA_EXE% -version >NUL 2>&1
if %ERRORLEVEL% equ 0 goto execute
echo. 1>&2
echo ERROR: JAVA_HOME is not set and no 'java' command could be found in your PATH. 1>&2
echo. 1>&2
echo Please set the JAVA_HOME variable in your environment to match the 1>&2
echo location of your Java installation. 1>&2
goto fail
:findJavaFromJavaHome
set JAVA_HOME=%JAVA_HOME:"=%
set JAVA_EXE=%JAVA_HOME%/bin/java.exe
if exist "%JAVA_EXE%" goto execute
echo. 1>&2
echo ERROR: JAVA_HOME is set to an invalid directory: %JAVA_HOME% 1>&2
echo. 1>&2
echo Please set the JAVA_HOME variable in your environment to match the 1>&2
echo location of your Java installation. 1>&2
goto fail
:execute
@rem Setup the command line
set CLASSPATH=%APP_HOME%\gradle\wrapper\gradle-wrapper.jar
@rem Execute Gradle
"%JAVA_EXE%" %DEFAULT_JVM_OPTS% %JAVA_OPTS% %GRADLE_OPTS% "-Dorg.gradle.appname=%APP_BASE_NAME%" -classpath "%CLASSPATH%" org.gradle.wrapper.GradleWrapperMain %*
:end
@rem End local scope for the variables with windows NT shell
if %ERRORLEVEL% equ 0 goto mainEnd
:fail
rem Set variable GRADLE_EXIT_CONSOLE if you need the _script_ return code instead of
rem the _cmd.exe /c_ return code!
set EXIT_CODE=%ERRORLEVEL%
if %EXIT_CODE% equ 0 set EXIT_CODE=1
if not ""=="%GRADLE_EXIT_CONSOLE%" exit %EXIT_CODE%
exit /b %EXIT_CODE%
:mainEnd
if "%OS%"=="Windows_NT" endlocal
:omega
```
|
/content/code_sandbox/example/android/gradlew.bat
|
batchfile
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 666
|
```ini
# Project-wide Gradle settings.
# IDE (e.g. Android Studio) users:
# Gradle settings configured through the IDE *will override*
# any settings specified in this file.
# For more details on how to configure your build environment visit
# path_to_url
# Specifies the JVM arguments used for the daemon process.
# The setting is particularly useful for tweaking memory settings.
# Default value: -Xmx512m -XX:MaxMetaspaceSize=256m
org.gradle.jvmargs=-Xmx2048m -XX:MaxMetaspaceSize=512m
# When configured, Gradle will run in incubating parallel mode.
# This option should only be used with decoupled projects. More details, visit
# path_to_url#sec:decoupled_projects
# org.gradle.parallel=true
# AndroidX package structure to make it clearer which packages are bundled with the
# Android operating system, and which are packaged with your app's APK
# path_to_url
android.useAndroidX=true
# Automatically convert third-party libraries to use AndroidX
android.enableJetifier=true
# Use this property to specify which architecture you want to build.
# You can also override it from the CLI using
# ./gradlew <task> -PreactNativeArchitectures=x86_64
reactNativeArchitectures=armeabi-v7a,arm64-v8a,x86,x86_64
# Use this property to enable support to the new architecture.
# This will allow you to use TurboModules and the Fabric render in
# your application. You should enable this flag either if you want
# to write custom TurboModules/Fabric components OR use libraries that
# are providing them.
newArchEnabled=false
# Use this property to enable or disable the Hermes JS engine.
# If set to false, you will be using JSC instead.
hermesEnabled=true
```
|
/content/code_sandbox/example/android/gradle.properties
|
ini
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 396
|
```ini
distributionBase=GRADLE_USER_HOME
distributionPath=wrapper/dists
distributionUrl=https\://services.gradle.org/distributions/gradle-8.6-all.zip
networkTimeout=10000
validateDistributionUrl=true
zipStoreBase=GRADLE_USER_HOME
zipStorePath=wrapper/dists
```
|
/content/code_sandbox/example/android/gradle/wrapper/gradle-wrapper.properties
|
ini
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 66
|
```qmake
# Add project specific ProGuard rules here.
# By default, the flags in this file are appended to flags specified
# in /usr/local/Cellar/android-sdk/24.3.3/tools/proguard/proguard-android.txt
# You can edit the include path and order by changing the proguardFiles
# directive in build.gradle.
#
# For more details, see
# path_to_url
# Add any project specific keep options here:
```
|
/content/code_sandbox/example/android/app/proguard-rules.pro
|
qmake
| 2016-03-24T16:33:42
| 2024-08-15T16:56:05
|
react-native-permissions
|
zoontek/react-native-permissions
| 4,008
| 94
|
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