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vector-reflection.html
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vector-reflection.html
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<html>
<head>
<title>vector reflection</title>
<script type="text/javascript">
function Vector2D( x, y )
{
this.x = x || 0;
this.y = y || 0;
};
Vector2D.prototype =
{
//더하기
add: function( v )
{
return new Vector2D(
this.x + v.x,
this.y + v.y
);
},
//빼기
sub: function( v )
{
return new Vector2D(
this.x - v.x,
this.y - v.y
);
},
// 내적
dot: function( v )
{
return this.x * v.x + this.y * v.y;
},
// 스칼라 곱
scale: function( len )
{
this.x *= len;
this.y *= len;
return this;
},
// 길이
length: function()
{
return Math.sqrt( this.x * this.x + this.y * this.y );
},
// 제곱근 계산 전 길이 - 길이 비교만 할 경우 제곱근 계산이 필요 없음.
lengthNonSqrt: function()
{
return this.x * this.x + this.y * this.y;
},
// 정규화
normalize: function()
{
var len = this.length();
return new Vector2D(
this.x / len,
this.y / len
);
},
// 법선 벡터
normal: function( ccw )
{
if( ccw )
return new Vector2D( this.y, -this.x );
return new Vector2D( -this.y, this.x );
},
// 좌표 출력
toString: function()
{
function _f3( f )
{
return parseInt( f * 1e3 ) / 1e3;
}
return "(" + _f3( this.x ) + "," + _f3( this.y ) + ")"
}
};
/**
* 라인 a 벡터 -> b 벡터로 가는 라인 클래스
*/
function Line( a, b, thickness, color )
{
this.a = a || new Vector2D();
this.b = b || new Vector2D();
this.thickness = thickness || 1;
this.color = color || "#000000";
};
</script>
<script type="text/javascript">
(function (){
var canvas, //
context, //
drawingLine, // ctrl + drag로 그리고 있는 라인
firingLine, // 공 발사를 위한 red 라인
lines = [], // 모든 라인 객체 배열
balls = [], // 공(벡터) 객체 배열
ballRadius = 5, // 공 반지름
ballStyle = "#ff0000", // 공 색깔
_360radian = 2 * Math.PI, // 360 라디언 상수
G = 0.35, // 중력 가속도 값
friction = 0.90; // 바운드 마찰력
function init()
{
canvas = document.getElementById( "canvas" );
context = canvas.getContext( "2d" );
if( mobilecheck() )
{
document.getElementById( "text" ).innerHTML = "Pinch"
}
onResize( null );
canvas.addEventListener( "touchstart", onTouch );
canvas.addEventListener( "mousedown", onDown );
canvas.addEventListener( "touchend", onTouchEnd );
canvas.addEventListener( "mouseup", onUp );
pushRandomLines( 1 );
(function render(){
draw();
requestAnimationFrame( render );
})();
};
function pushRandomLines( len )
{
var l;
for( var n = len; n--; )
{
l = new Line();
l.a = new Vector2D(
canvas.width * Math.random(),
canvas.height * Math.random()
);
l.b = new Vector2D(
canvas.width * Math.random(),
canvas.height * Math.random()
);
lines.push( l );
}
};
function moveBalls()
{
var a, b = new Vector2D(), result, p, v, normal;
for( var n = balls.length; n--; )
{
a = balls[n];
b.x = a.x + a.v.x;
b.y = a.y + a.v.y;
result = checkCollision( a, b );
if( result == null )
{
a.x = b.x;
a.y = b.y;
}
else
{
a.v = getReflectionVector( b.sub( a ).scale( friction ), result[1] );
p = result[0];
a.x = p.x + (a.v.x == 0 ? 0 : a.v.x / Math.abs( a.v.x ));
a.y = p.y + (a.v.y == 0 ? 0 : a.v.y / Math.abs( a.v.y ));
}
a.v.y += G;
if( a.y > canvas.height || b.x < 0 || b.x > canvas.width )
balls.splice( n, 1 );
};
};
/**
* a -> b로 움직이는 물체와 lines 객체간의 충돌 체크
*/
function checkCollision( a, b )
{
var l, hitPoints = [], p, min = 0xffffff, minP;
for( var i = 0, n = lines.length; i < n; i++ )
{
l = lines[i];
//사각형 체크로 빠른 검사
if( !hitTestRect( a, b, l.a, l.b ) ) continue;
p = detectSegment( a, b, l.a, l.b );
if( p == null ) continue;
if( min > p.sub( a ).lengthNonSqrt() )
{
minP = p;
line = l;
}
}
if( minP == null ) return null;
return [ minP, line ];
};
/**
* 성능을 위해 두 점의 사각형부터 충돌 체크
*/
function hitTestRect( a, b, c, d )
{
var rectA = getRect( a, b ),
rectB = getRect( c, d );
if( rectA.left > rectB.right ||
rectA.right < rectB.left ||
rectA.top > rectB.bottom ||
rectA.bottom < rectB.top ) return false;
return true;
};
/**
* 두 점이 차지하는 사각형 범위를 반환
*/
function getRect( a, b )
{
var r = { left: 0, right: 0, top: 0, bottom: 0 };
if( a.x < b.x )
{
r.left = a.x;
r.right = b.x;
}
else
{
r.left = b.x;
r.right = a.x;
}
if( a.y < b.y )
{
r.top = a.y;
r.bottom = b.y;
}
else
{
r.top = b.y;
r.bottom = a.y;
}
return r;
};
/**
* va -> vb, vc -> vd의 두개 선분 교차점 검색
*/
function detectSegment( va, vb, vc, vd )
{
var AB = vb.sub( va ),
CD = vd.sub( vc );
var a = AB.dot( AB ),
b = c = AB.dot( CD ),
d = CD.dot( CD );
var detM = -a * d + b * c;
if( detM == 0 ) return null; // 행렬식이 없으면 평행하거나, 겹치는 경우.
var AC = vc.sub( va );
var e = AC.dot( AB ),
f = AC.dot( CD );
var s = ( -e * d + b * f ) / detM,
t = ( a * f - c * e ) / detM;
if( s < 0 || s > 1 || t < 0 || t > 1 ) return null;
return AB.scale( s ).add( va );
};
/**
* 충돌면의 반사 벡터 반환
*/
function getReflectionVector( incidentVec, collisionPlane )
{
var sub = collisionPlane.b.sub( collisionPlane.a ),
normal = sub.normal(),
normalized = normal.normalize(),
scalar = incidentVec.dot( normalized ),
reflect = normalized.scale( 2 * scalar );
return incidentVec.sub( reflect );
};
function fire( vec )
{
var ball = new Vector2D( vec.a.x, vec.a.y );
ball.v = vec.a.sub( vec.b ).scale( 0.14 );
balls.push( ball );
};
/*******************************************************
*
* Rendering
*
********************************************************/
function draw()
{
context.clearRect( 0, 0, canvas.width, canvas.height );
moveBalls();
var l, b;
for( var i = 0, n = lines.length; i < n; i++ )
drawLine( lines[i] );
for( i = 0, n = balls.length; i < n; i++ )
drawBall( balls[i] );
if( firingLine != null )
drawLine( firingLine );
}
function drawBall( ball )
{
context.save();
context.setTransform( 1,0,0,1, ball.x, ball.y )
context.beginPath();
context.arc( 0, 0, ballRadius, 0, _360radian );
context.fillStyle = ballStyle;
context.fill();
context.restore();
};
function drawLine( line )
{
context.save();
context.beginPath();
context.moveTo( line.a.x, line.a.y );
context.lineTo( line.b.x, line.b.y );
context.lineWidth = line.thickness;
context.strokeStyle = line.color;
context.stroke();
context.restore();
};
/*******************************************************
*
* EventListeners
*
********************************************************/
function onResize(e)
{
canvas.width = document.body.clientWidth;
canvas.height = document.body.clientHeight;
};
function onTouch( e )
{
e.preventDefault();
canvas.addEventListener( "touchmove", onTouchMove );
var touch;
if( e.changedTouches.length == 1 )
{
touch = e.changedTouches[0];
firingLine = new Line(
new Vector2D( touch.clientX, touch.clientY ),
new Vector2D( touch.clientX, touch.clientY ),
2,
"#ff0000"
);
}
};
function onTouchEnd(e)
{
canvas.removeEventListener( "touchmove", onTouchMove );
if( firingLine != null )
{
fire( firingLine );
}
firingLine = null;
drawingLine = null;
};
function onTouchMove( e )
{
var touch = e.changedTouches[0],
touchB;
if( e.changedTouches.length == 1 && firingLine != null )
{
firingLine.b.x = touch.clientX;
firingLine.b.y = touch.clientY;
}
else
{
touchB = e.changedTouches[1];
if( drawingLine == null )
{
drawingLine = new Line();
lines.push( drawingLine );
}
drawingLine.a.x = touch.clientX;
drawingLine.a.y = touch.clientY;
drawingLine.b.x = touchB.clientX;
drawingLine.b.y = touchB.clientY;
firingLine = null;
}
};
function onDown(e)
{
canvas.addEventListener( "mousemove", onMove );
if( !e.ctrlKey )
{
firingLine = new Line(
new Vector2D( e.clientX, e.clientY ),
new Vector2D( e.clientX, e.clientY ),
2,
"#ff0000"
);
}
else
{
drawingLine = new Line(
new Vector2D( e.clientX, e.clientY ),
new Vector2D( e.clientX, e.clientY ),
1,
"#000000"
);
lines.push( drawingLine );
}
};
function onUp(e)
{
canvas.removeEventListener( "mousemove", onMove );
if( !e.ctrlKey )
fire( firingLine );
firingLine = null;
};
function onMove( e )
{
if( !e.ctrlKey )
{
firingLine.b.x = e.clientX;
firingLine.b.y = e.clientY;
}
else
{
drawingLine.b.x = e.clientX;
drawingLine.b.y = e.clientY;
}
}
window.onload = init;
window.onresize = onResize;
window.mobilecheck = function() {
var check = false;
(function(a,b){if(/(android|bb\d+|meego).+mobile|avantgo|bada\/|blackberry|blazer|compal|elaine|fennec|hiptop|iemobile|ip(hone|od)|iris|kindle|lge |maemo|midp|mmp|mobile.+firefox|netfront|opera m(ob|in)i|palm( os)?|phone|p(ixi|re)\/|plucker|pocket|psp|series(4|6)0|symbian|treo|up\.(browser|link)|vodafone|wap|windows ce|xda|xiino/i.test(a)||/1207|6310|6590|3gso|4thp|50[1-6]i|770s|802s|a wa|abac|ac(er|oo|s\-)|ai(ko|rn)|al(av|ca|co)|amoi|an(ex|ny|yw)|aptu|ar(ch|go)|as(te|us)|attw|au(di|\-m|r |s )|avan|be(ck|ll|nq)|bi(lb|rd)|bl(ac|az)|br(e|v)w|bumb|bw\-(n|u)|c55\/|capi|ccwa|cdm\-|cell|chtm|cldc|cmd\-|co(mp|nd)|craw|da(it|ll|ng)|dbte|dc\-s|devi|dica|dmob|do(c|p)o|ds(12|\-d)|el(49|ai)|em(l2|ul)|er(ic|k0)|esl8|ez([4-7]0|os|wa|ze)|fetc|fly(\-|_)|g1 u|g560|gene|gf\-5|g\-mo|go(\.w|od)|gr(ad|un)|haie|hcit|hd\-(m|p|t)|hei\-|hi(pt|ta)|hp( i|ip)|hs\-c|ht(c(\-| |_|a|g|p|s|t)|tp)|hu(aw|tc)|i\-(20|go|ma)|i230|iac( |\-|\/)|ibro|idea|ig01|ikom|im1k|inno|ipaq|iris|ja(t|v)a|jbro|jemu|jigs|kddi|keji|kgt( |\/)|klon|kpt |kwc\-|kyo(c|k)|le(no|xi)|lg( g|\/(k|l|u)|50|54|\-[a-w])|libw|lynx|m1\-w|m3ga|m50\/|ma(te|ui|xo)|mc(01|21|ca)|m\-cr|me(rc|ri)|mi(o8|oa|ts)|mmef|mo(01|02|bi|de|do|t(\-| |o|v)|zz)|mt(50|p1|v )|mwbp|mywa|n10[0-2]|n20[2-3]|n30(0|2)|n50(0|2|5)|n7(0(0|1)|10)|ne((c|m)\-|on|tf|wf|wg|wt)|nok(6|i)|nzph|o2im|op(ti|wv)|oran|owg1|p800|pan(a|d|t)|pdxg|pg(13|\-([1-8]|c))|phil|pire|pl(ay|uc)|pn\-2|po(ck|rt|se)|prox|psio|pt\-g|qa\-a|qc(07|12|21|32|60|\-[2-7]|i\-)|qtek|r380|r600|raks|rim9|ro(ve|zo)|s55\/|sa(ge|ma|mm|ms|ny|va)|sc(01|h\-|oo|p\-)|sdk\/|se(c(\-|0|1)|47|mc|nd|ri)|sgh\-|shar|sie(\-|m)|sk\-0|sl(45|id)|sm(al|ar|b3|it|t5)|so(ft|ny)|sp(01|h\-|v\-|v )|sy(01|mb)|t2(18|50)|t6(00|10|18)|ta(gt|lk)|tcl\-|tdg\-|tel(i|m)|tim\-|t\-mo|to(pl|sh)|ts(70|m\-|m3|m5)|tx\-9|up(\.b|g1|si)|utst|v400|v750|veri|vi(rg|te)|vk(40|5[0-3]|\-v)|vm40|voda|vulc|vx(52|53|60|61|70|80|81|83|85|98)|w3c(\-| )|webc|whit|wi(g |nc|nw)|wmlb|wonu|x700|yas\-|your|zeto|zte\-/i.test(a.substr(0,4)))check = true})(navigator.userAgent||navigator.vendor||window.opera);
return check;
}
})();
</script>
<style type="text/css">
body{
margin: 0;
}
canvas{
position: absolute;
top: 0;
}
.outer
{
position: absolute;
width: 100%;
height: 100%;
}
.inner
{
position: absolute;
width: 100%;
top: 50%;
font-family: Helvetica;
font-size: 6em;
color: #ddd;
text-align: center;
-moz-user-select: none;
-webkit-user-select: none;
/* this will work for QtWebKit in future */
-webkit-user-drag: none;
transform: translate( 0%, -50% );
}
.bold
{
font-weight: bold;
color: #ddf;
}
</style>
</head>
<body>
<div class="wrapper">
<div class="outer">
<div class="inner">
<span class="bold">Drag</span> to fire ball<br>
<span class="bold" id="text">Ctrl + Drag</span> to draw line
</div>
</div>
<canvas id="canvas"/>
</div>
</body>
</html>