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ActiveMq-JMS简单实例使用tomcat
坐标旋转是个啥概念呢?
如上图,(蓝色)小球 绕某一中心点旋转a角度后,到达(红色)小球的位置,则红色小球相对中心点的坐标为:
x1 = dx * cos(a) - dy * sin(a)
y1 = dy * cos(a) + dx * sin(a)
这个就是坐标旋转公式,如果要反向旋转,则公式要修正一下,有二种方法:
1.将a变成-a,即:
x1 = dx * cos(-a) - dy * sin(-a)
y1 = dy * cos(-a) + dx * sin(-a)
2.将正向旋转公式中的相减号交换
x1 = dx * cos(a) + dy * sin(a);
y1 = dy * cos(a) - dx * sin(a);
先来回顾一个经典的小球圆周运动:
var
ball:Ball =
new
Ball(
10
);
var
centerX:
Number
= stage.stageWidth/
2
;
var
centerY:
Number
= stage.stageHeight/
2
;
var
radius:
Number
=
50
;
var
angle:
Number
=
0
;
addChild(ball);
addEventListener(Event.ENTER_FRAME,EnterFrameHandler);
ball.x = centerX + Math.cos(angle) * radius;
ball.y = centerY + Math.sin(angle) * radius;
graphics.lineStyle(
1
,
0x999999
);
graphics.moveTo(ball.x,ball.y);
function
EnterFrameHandler(e:Event):
void
{
ball.x = centerX + Math.cos(angle) * radius;
ball.y = centerY + Math.sin(angle) * radius;
angle +=
0.02
;
if
(angle<=
2
*Math.PI+
0.02
){
graphics.lineTo(ball.x,ball.y);
}
}
这个没啥特别的,接下来我们用坐标旋转公式换一种做法验证一下是否有效:
var
ball:Ball =
new
Ball(
10
);
var
centerX:
Number
= stage.stageWidth/
2
;
var
centerY:
Number
= stage.stageHeight/
2
;
var
radius:
Number
=
50
;
var
angle:
Number
=
0
;
ball.vr =
0.02
;
//旋转角速度
ball.x = centerX + radius;
ball.y = centerY;
var
cos:
Number
= Math.cos(ball.vr);
var
sin:
Number
= Math.sin(ball.vr);
addChild(ball);
addEventListener(Event.ENTER_FRAME,EnterFrameHandler);
graphics.lineStyle(
1
,
0x999999
);
graphics.moveTo(ball.x,ball.y);
var
i:
Number
=
0
;
function
EnterFrameHandler(e:Event):
void
{
var
dx:
Number
= ball.x - centerX;
var
dy:
Number
= ball.y - centerY;
var
x2:
Number
= cos * dx - sin * dy;
var
y2:
Number
= cos * dy + sin * dx;
ball.x = centerX + x2;
ball.y = centerY + y2;
i++;
if
(i<=(
2
*Math.PI+ball.vr)/ball.vr){
trace
(i);
graphics.lineTo(ball.x,ball.y);
}
}
效果完全相同,说明坐标旋转公式完全是有效的,问题来了:原本一个简单的问题,经过这样复杂的处理后,效果并没有变化,为何要化简为繁呢?
好处1:提高运行效率
下面演示的多个物体旋转的传统做法:
var
arrBalls:
Array
=
new
Array
(
30
);
var
centerX:
Number
= stage.stageWidth/
2
;
var
centerY:
Number
= stage.stageHeight/
2
;
for
(
var
i:
uint
=
0
,j:
uint
=arrBalls.length;i<j;i++){
arrBalls[i] =
new
Ball(
3
+ Math.random()*
5
,Math.random()*
0xffffff
);
arrBalls[i].x = centerX +
100
* (Math.random()*
2
-
1
);
arrBalls[i].y = centerY +
100
* (Math.random()*
2
-
1
);
addChild(arrBalls[i]);
}
graphics.lineStyle(
1
);
graphics.moveTo(centerX,centerY-
5
);
graphics.lineTo(centerX,centerY+
5
);
graphics.moveTo(centerX-
5
,centerY);
graphics.lineTo(centerX+
5
,centerY);
addEventListener(Event.ENTER_FRAME,EnterFrameHandler);
function
EnterFrameHandler(e:Event):
void
{
for
(
var
i:
uint
=
0
,j:
uint
=arrBalls.length;i<j;i++){
var
ball:Ball = arrBalls[i];
var
dx:
Number
= ball.x - stage.stageWidth/
2
;
var
dy:
Number
= ball.y - stage.stageHeight/
2
;
var
dist:
Number
= Math.sqrt(dx*dx + dy*dy);
//1次Math调用
ball.vr = Math.atan2(dy,dx);
//2次Math调用
ball.vr +=
0.005
;
ball.x = centerX + dist * Math.cos(ball.vr);
//3次Math调用
ball.y = centerY + dist * Math.sin(ball.vr);
//4次Math调用
}
}
坐标旋转的新做法:
var
arrBalls:
Array
=
new
Array
(
30
);
var
centerX:
Number
= stage.stageWidth/
2
;
var
centerY:
Number
= stage.stageHeight/
2
;
var
vr:
Number
=
0.01
;
for
(
var
i:
uint
=
0
,j:
uint
=arrBalls.length;i<j;i++){
arrBalls[i] =
new
Ball(
3
+ Math.random()*
5
,Math.random()*
0xffffff
);
arrBalls[i].x = centerX +
100
* (Math.random()*
2
-
1
);
arrBalls[i].y = centerY +
100
* (Math.random()*
2
-
1
);
arrBalls[i].vr = vr;
addChild(arrBalls[i]);
}
graphics.lineStyle(
1
);
graphics.moveTo(centerX,centerY-
5
);
graphics.lineTo(centerX,centerY+
5
);
graphics.moveTo(centerX-
5
,centerY);
graphics.lineTo(centerX+
5
,centerY);
addEventListener(Event.ENTER_FRAME,EnterFrameHandler);
//将Math函数的调用放到到循环体外
var
cos:
Number
= Math.cos(vr);
var
sin:
Number
= Math.sin(vr);
function
EnterFrameHandler(e:Event):
void
{
for
(
var
i:
uint
=
0
,j:
uint
=arrBalls.length;i<j;i++){
var
ball:Ball = arrBalls[i];
var
dx:
Number
= ball.x - stage.stageWidth/
2
;
var
dy:
Number
= ball.y - stage.stageHeight/
2
;
var
x2:
Number
= cos * dx - sin * dy;
var
y2:
Number
= cos * dy + sin * dx;
ball.x = centerX + x2;
ball.y = centerY + y2;
}
}
对比代码可以发现,同样的效果用坐标旋转处理后,Math的调用全部提升到循环外部了,对于30个小球来讲,每一帧至少减少了30 * 4 = 120次的三角函数运算
好处2:可以方便的处理斜面反弹
先来看下正向/反向旋转的测试
var
ball:Ball=
new
Ball(
15
);
addChild(ball);
var
centerX:
Number
=stage.stageWidth/
2
;
var
centerY:
Number
=stage.stageHeight/
2
;
var
radius:
Number
=
100
;
ball.x=centerX+radius;
ball.y=centerY;
graphics.lineStyle(
1
,
0xdddddd
);
graphics.moveTo(centerX,centerY);
graphics.lineTo(ball.x,ball.y);
graphics.lineStyle(
1
);
graphics.moveTo(centerX,centerY -
10
);
graphics.lineTo(centerX,centerY +
10
);
graphics.moveTo(centerX-
10
,centerY);
graphics.lineTo(centerX+
10
,centerY);
var
angle:
Number
=
30
*Math.PI/
180
;
btn1.addEventListener(MouseEvent.MOUSE_DOWN,btn1Click);
//旋转
function
btn1Click(e:MouseEvent):
void
{
var
cos:
Number
=Math.cos(angle);
var
sin:
Number
=Math.sin(angle);
var
dx:
Number
=ball.x-centerX;
var
dy:
Number
=ball.y-centerY;
var
x1:
Number
=dx*cos-dy*sin;
var
y1:
Number
=dy*cos+dx*sin;
ball.x=centerX+x1;
ball.y=centerY+y1;
graphics.lineStyle(
1
,
0xdddddd
);
graphics.moveTo(centerX,centerY);
graphics.lineTo(ball.x,ball.y);
}
btn2.addEventListener(MouseEvent.MOUSE_DOWN,btn2Click);
//反转1
function
btn2Click(e:MouseEvent):
void
{
var
dx:
Number
=ball.x-centerX;
var
dy:
Number
=ball.y-centerY;
var
cos:
Number
=Math.cos(-angle);
var
sin:
Number
=Math.sin(-angle);
var
x1:
Number
=dx*cos-dy*sin;
var
y1:
Number
=dy*cos+dx*sin;
ball.x=centerX+x1;
ball.y=centerY+y1;
graphics.lineStyle(
1
,
0xdddddd
);
graphics.moveTo(centerX,centerY);
graphics.lineTo(ball.x,ball.y);
}
btn3.addEventListener(MouseEvent.MOUSE_DOWN,btn3Click);
//反转2
function
btn3Click(e:MouseEvent):
void
{
var
dx:
Number
=ball.x-centerX;
var
dy:
Number
=ball.y-centerY;
var
cos:
Number
=Math.cos(angle);
var
sin:
Number
=Math.sin(angle);
//反转公式
var
x1:
Number
=dx*cos+dy*sin;
var
y1:
Number
=dy*cos-dx*sin;
ball.x=centerX+x1;
ball.y=centerY+y1;
graphics.lineStyle(
1
,
0xdddddd
);
graphics.moveTo(centerX,centerY);
graphics.lineTo(ball.x,ball.y);
}
对于水平或垂直的反弹运动,实现起来并不复杂,但对于斜面而言,情况就复杂多了,首先:物体反弹并不是光学中的反射,所以用“入射角=反射角”来模拟并不准确,其次我们还要考虑到重力因素/摩擦力因素,这些都会影响到速度的大小和方向。
如果用坐标旋转的思维方式去考虑这一复杂的问题,解决办法就变得非常简单。
所有向量(物理学中也常称矢量,虽然这二者在严格意义上讲并不相同)都可应用坐标旋转,我们可以把整个系统(包括斜面以及相对斜面运行物体的速度向量)都通过坐标旋转变成水平面或垂直面,这样就把问题简单化了,等一切按水平或垂直的简单方式处理完成以后,再把系统旋转回最初的样子。
package
{
import
flash.display.Sprite;
import
flash.events.Event;
import
flash.events.MouseEvent;
import
flash.ui.Mouse;
import
flash.ui.MouseCursor;
import
flash.geom.Rectangle;
public
class
AngleBounce
extends
Sprite {
private
var
ball:Ball;
private
var
line:Sprite;
private
var
gravity:
Number
=
0.25
;
private
var
bounce:
Number
=-
0.6
;
private
var
rect:Rectangle;
public
function
AngleBounce() {
init();
}
private
function
init():
void
{
Mouse.cursor=MouseCursor.BUTTON;
ball=
new
Ball(
10
);
addChild(ball);
ball.x=
100
;
ball.y=
100
;
line=
new
Sprite ;
line.graphics.lineStyle(
1
);
line.graphics.lineTo(
300
,
0
);
addChild(line);
line.x=
50
;
line.y=
200
;
line.rotation=
25
;
//将line旋转形成斜面
stage.addEventListener(MouseEvent.MOUSE_DOWN,MouseDownHandler);
rect = line.getBounds(
this
);
//获取line的矩形边界
graphics.beginFill(
0xefefef
)
graphics.drawRect(rect.left,rect.top,rect.width,rect.height);
graphics.endFill();
}
private
function
MouseDownHandler(e:Event) {
addEventListener(Event.ENTER_FRAME,EnterFrameHandler);
}
private
function
EnterFrameHandler(e:Event):
void
{
//line.rotation = (stage.stageWidth/2 - mouseX)*0.1;
//普通的运动代码
ball.vy+=gravity;
ball.x+=ball.vx;
ball.y+=ball.vy;
/*//只有二者(的矩形边界)碰撞了才需要做处理
if (ball.hitTestObject(line)) {*/
//也可以换成下面的方法检测
if
(ball.x > rect.left && ball.x < rect.right && ball.y >rect.top && ball.y < rect.bottom){
//trace("true");
//获得角度及正余弦值
var
angle:
Number
=line.rotation*Math.PI/
180
;
var
cos:
Number
=Math.cos(angle);
var
sin:
Number
=Math.sin(angle);
//获得 ball 与 line 的相对位置
var
dx:
Number
=ball.x-line.x;
var
dy:
Number
=ball.y-line.y;
//反向旋转坐标(得到ball“相对”斜面line的坐标)
var
x2:
Number
=cos*dx+sin*dy;
var
y2:
Number
=cos*dy-sin*dx;
//反向旋转速度向量(得到ball“相对”斜面的速度)
var
vx2:
Number
=cos*ball.vx+sin*ball.vy;
var
vy2:
Number
=cos*ball.vy-sin*ball.vx;
//实现反弹
if
(y2>- ball.height/
2
) {
y2=- ball.height/
2
;
vy2*=bounce;
//将一切再正向旋转回去
dx=cos*x2-sin*y2;
dy=cos*y2+sin*x2;
ball.vx=cos*vx2-sin*vy2;
ball.vy=cos*vy2+sin*vx2;
//重新定位
ball.x=line.x+dx;
ball.y=line.y+dy;
}
}
//跑出舞台边界后将其重新放到原始位置
if
(ball.x>=stage.stageWidth-ball.width/
2
||ball.y>=stage.stageHeight-ball.height/
2
) {
ball.x=
100
;
ball.y=
100
;
ball.vx=
0
;
ball.vy=
0
;
removeEventListener(Event.ENTER_FRAME,EnterFrameHandler);
}
}
}
}
多角度斜面反弹:
package
{
import
flash.display.Sprite;
import
flash.events.Event;
import
flash.display.StageScaleMode;
import
flash.display.StageAlign;
import
flash.geom.Rectangle;
import
flash.events.MouseEvent;
import
flash.ui.Mouse;
import
flash.ui.MouseCursor;
public
class
MultiAngleBounce
extends
Sprite {
private
var
ball:Ball;
private
var
lines:
Array
;
private
var
numLines:
uint
=
5
;
private
var
gravity:
Number
=
0.3
;
private
var
bounce:
Number
=-
0.6
;
public
function
MultiAngleBounce() {
init();
}
private
function
init():
void
{
stage.scaleMode=StageScaleMode.NO_SCALE;
stage.align=StageAlign.TOP_LEFT;
ball=
new
Ball(
20
);
addChild(ball);
ball.x=
100
;
ball.y=
50
;
// 创建 5 个 line 影片
lines =
new
Array
();
for
(
var
i:
uint
=
0
; i < numLines; i++) {
var
line:Sprite =
new
Sprite();
line.graphics.lineStyle(
1
);
line.graphics.moveTo(-
50
,
0
);
line.graphics.lineTo(
50
,
0
);
addChild(line);
lines.push(line);
}
// 放置并旋转
lines[
0
].x=
100
;
lines[
0
].y=
100
;
lines[
0
].rotation=
30
;
lines[
1
].x=
100
;
lines[
1
].y=
230
;
lines[
1
].rotation=
45
;
lines[
2
].x=
250
;
lines[
2
].y=
180
;
lines[
2
].rotation=-
30
;
lines[
3
].x=
150
;
lines[
3
].y=
330
;
lines[
3
].rotation=
10
;
lines[
4
].x=
230
;
lines[
4
].y=
250
;
lines[
4
].rotation=-
30
;
addEventListener(Event.ENTER_FRAME, onEnterFrame);
ball.addEventListener(MouseEvent.MOUSE_DOWN,MouseDownHandler);
ball.addEventListener(MouseEvent.MOUSE_OVER,MouseOverHandler);
stage.addEventListener(MouseEvent.MOUSE_UP,MouseUpHandler);
}
function
MouseOverHandler(e:MouseEvent):
void
{
Mouse.cursor=MouseCursor.HAND;
}
function
MouseDownHandler(e:MouseEvent):
void
{
Mouse.cursor=MouseCursor.HAND;
var
bounds:Rectangle =
new
Rectangle(ball.width,ball.height,stage.stageWidth-
2
*ball.width,stage.stageHeight-
2
*ball.height);
ball.startDrag(
true
,bounds);
removeEventListener(Event.ENTER_FRAME, onEnterFrame);
}
function
MouseUpHandler(e:MouseEvent):
void
{
ball.stopDrag();
ball.vx=
0
;
ball.vy=
0
;
Mouse.cursor=MouseCursor.AUTO;
addEventListener(Event.ENTER_FRAME, onEnterFrame);
}
private
function
onEnterFrame(event:Event):
void
{
// normal motion code
ball.vy+=gravity;
ball.x+=ball.vx;
ball.y+=ball.vy;
// 舞台四周的反弹
if
(ball.x+ball.radius>stage.stageWidth) {
ball.x=stage.stageWidth-ball.radius;
ball.vx*=bounce;
}
else
if
(ball.x - ball.radius <
0
) {
ball.x=ball.radius;
ball.vx*=bounce;
}
if
(ball.y+ball.radius>stage.stageHeight) {
ball.y=stage.stageHeight-ball.radius;
ball.vy*=bounce;
}
else
if
(ball.y - ball.radius <
0
) {
ball.y=ball.radius;
ball.vy*=bounce;
}
// 检查每条线
for
(
var
i:
uint
=
0
; i < numLines; i++) {
checkLine(lines[i]);
}
}
private
function
checkLine(line:Sprite):
void
{
// 获得 line 的边界
var
bounds:Rectangle=line.getBounds(
this
);
if
(ball.x>bounds.left&&ball.x<bounds.right) {
// 获取角度与正余弦值
var
angle:
Number
=line.rotation*Math.PI/
180
;
var
cos:
Number
=Math.cos(angle);
var
sin:
Number
=Math.sin(angle);
// 获取 ball 与 line 的相对位置
var
x1:
Number
=ball.x-line.x;
var
y1:
Number
=ball.y-line.y;
// 旋转坐标
var
y2:
Number
=cos*y1-sin*x1;
// 旋转速度向量
var
vy1:
Number
=cos*ball.vy-sin*ball.vx;
// 实现反弹
if
(y2>- ball.height/
2
&&y2<vy1) {
// 旋转坐标
var
x2:
Number
=cos*x1+sin*y1;
// 旋转速度向量
var
vx1:
Number
=cos*ball.vx+sin*ball.vy;
y2=- ball.height/
2
;
vy1*=bounce;
// 将一切旋转回去
x1=cos*x2-sin*y2;
y1=cos*y2+sin*x2;
ball.vx=cos*vx1-sin*vy1;
ball.vy=cos*vy1+sin*vx1;
ball.x=line.x+x1;
ball.y=line.y+y1;
}
}
}
}
}
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2011-04-24 13:39 10713D线条:把上一篇中的3D坐标旋转示例稍做修改,用线把各个 ... -
Flash/Flex学习笔记(43):3D基础
2011-04-24 13:34 1112之前我们所做的动画都 ... -
Flash/Flex学习笔记(42):反向运动学(下)
2011-04-24 13:30 896先要复习一下三角函数与余弦定理: 对于直角三角形,三边长 ... -
Flash/Flex学习笔记(41):反向运动学(上)
2011-04-24 13:29 912先回顾上篇所说的"正向运动学":以人行 ... -
Flash/Flex学习笔记(40):正向运动学
2011-04-24 13:27 855所谓"正向运动学"通俗点讲就是把几个连接部 ... -
Flash/Flex学习笔记(39):万有引力与粒子系统
2011-04-24 13:26 702万有引用公式: 其中G为万有引力常数 var numP ... -
Flash/Flex学习笔记(38):动量守恒与能量守恒
2011-04-24 13:24 913动能公式: 动量公式: 动量守恒: 能量守恒: ... -
Flash/Flex学习笔记(36):碰撞检测
2011-04-24 13:22 583碰撞检测基本上可能分为二类:对象与对象的碰撞检测、对象与点 ... -
Flash/Flex学习笔记(35):弹性运动续--弹簧
2011-04-24 13:21 733上一篇里演示的弹性运动加上摩擦力因素后,物体最终基本上都会比较 ... -
Flash/Flex学习笔记(34):弹性运动
2011-04-24 13:20 744动画中的弹性运动 从视觉效果上接近 物理经典力学中的单摆运 ... -
Flash/Flex学习笔记(33):缓动动画
2011-04-24 13:18 972缓动 与 匀变速 看上去很类似,但其实有区别: 匀变速的 ... -
Flash/Flex学习笔记(32):不用系统组件(纯AS3)的视频播放器--只有8.82K
2011-04-24 13:17 1244以前为了赶项目,利用系统组件制作过一款视频播放器(见Fla ... -
Flash/Flex学习笔记(31):自己动手实现一个滑块控件(JimmySilder)
2011-04-24 13:15 937先看最终的演示: 滑块条的应用实在太广泛了:mp3播放器中声 ... -
Flash/Flex学习笔记(30):如何正确监听Stage对象的事件
2011-04-24 13:13 1265如果想在一个自定义类中注册对stage对象的监听事件,然后在另 ...
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flash/flex画曲线,绘图板,用代码实现的个画曲线功能,类绘图板,可下载看看,不错的学习案例。
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NULL 博文链接:https://summerbell.iteye.com/blog/359226
flex学习笔记 flex学习笔记 flex学习笔记 flex学习笔记 flex学习笔记 flex学习笔记
第一阶段(2周左右每天至少4个小时):入门 目标是:做简单的demo....参考书:Flex 入门教程http://www.5uflash.com/Flex-AIR/Flexziliao/17.html flex入门介绍:http://download.csdn.net/source/452847
总共有4个例子: 1.http://127.0.0.1:8080/flexDemo/HelloWorld/HelloWorld.html ...如果你的数据库配置和我的不一样,请修改flexDemo\WEB-INF\classes\下的DBSetting.properties文件,数据库建表的sql语句是user.sql
最近开始学习Flex,其中用到了AS,AS2到AS3发生了很大的变化,完全的面向对象,知道这个特点以后我也一直没有特意的好好去学学AS3,但是随着最近学习的深入,还是有必要学习一下
一.flex2的全屏代码 在仅仅使用Flex Builder2(我下载的是FLXB_2.0_Win_WWE.exe)的时候,写全屏代码竟然找不到flash.display.StageDisplayState,于是下载了Flex 2.0.1升级包(官方地址:...(参考:...
NULL 博文链接:https://as3.iteye.com/blog/1134453
本人用FLEX写的直播播放器,基于RTMP协议。代码要放入tomcat等容器里运行,打开play.html即可看到例子效果,含有源代码,希望能帮助到需要的人。
xmlns:s="library://ns.adobe.com/flex/spark" xmlns:mx="library://ns.adobe.com/flex/mx" creationComplete="app_creationCompleteHandler(event)"> <fx:Script> <![CDATA[ import mx.events.FlexEvent; ...
这是作者自己亲自编写的教程,里面包含的有图解教程,各式jar,及配置文件,全部包含在内,如果你是一个决定学习flex初学者,我敢保证它肯定适合你!带上你走上flex开发旅途!
Flex学习笔记1
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