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提交 b08711d0 编写于 作者: M Mugen87
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CurveExtras: Refactoring

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Showing with 217 addition and 185 deletion
examples/js/CurveExtras.js
浏览文件 @ b08711d0
......@@ -11,321 +11,353 @@
* http://prideout.net/blog/?p=44
*/
// Lets define some curves
THREE.Curves = {};
( function( Curves ) {
// GrannyKnot
THREE.Curves.GrannyKnot = THREE.Curve.create( function() {},
function GrannyKnot() {}
function( t ) {
GrannyKnot.prototype = Object.create( THREE.Curve.prototype );
GrannyKnot.prototype.constructor = GrannyKnot;
t = 2 * Math.PI * t;
GrannyKnot.prototype.getPoint = function( t ) {
var x = - 0.22 * Math.cos( t ) - 1.28 * Math.sin( t ) - 0.44 * Math.cos( 3 * t ) - 0.78 * Math.sin( 3 * t );
var y = - 0.1 * Math.cos( 2 * t ) - 0.27 * Math.sin( 2 * t ) + 0.38 * Math.cos( 4 * t ) + 0.46 * Math.sin( 4 * t );
var z = 0.7 * Math.cos( 3 * t ) - 0.4 * Math.sin( 3 * t );
return new THREE.Vector3( x, y, z ).multiplyScalar( 20 );
t = 2 * Math.PI * t;
}
);
var x = - 0.22 * Math.cos( t ) - 1.28 * Math.sin( t ) - 0.44 * Math.cos( 3 * t ) - 0.78 * Math.sin( 3 * t );
var y = - 0.1 * Math.cos( 2 * t ) - 0.27 * Math.sin( 2 * t ) + 0.38 * Math.cos( 4 * t ) + 0.46 * Math.sin( 4 * t );
var z = 0.7 * Math.cos( 3 * t ) - 0.4 * Math.sin( 3 * t );
THREE.Curves.HeartCurve = THREE.Curve.create(
return new THREE.Vector3( x, y, z ).multiplyScalar( 20 );
function( s ) {
};
this.scale = ( s === undefined ) ? 5 : s;
// HeartCurve
},
function HeartCurve( s ) {
function( t ) {
this.scale = ( s === undefined ) ? 5 : s;
t *= 2 * Math.PI;
}
var tx = 16 * Math.pow( Math.sin( t ), 3 );
var ty = 13 * Math.cos( t ) - 5 * Math.cos( 2 * t ) - 2 * Math.cos( 3 * t ) - Math.cos( 4 * t ), tz = 0;
HeartCurve.prototype = Object.create( THREE.Curve.prototype );
HeartCurve.prototype.constructor = HeartCurve;
return new THREE.Vector3( tx, ty, tz ).multiplyScalar( this.scale );
HeartCurve.prototype.getPoint = function( t ) {
}
t *= 2 * Math.PI;
);
var x = 16 * Math.pow( Math.sin( t ), 3 );
var y = 13 * Math.cos( t ) - 5 * Math.cos( 2 * t ) - 2 * Math.cos( 3 * t ) - Math.cos( 4 * t );
var z = 0;
return new THREE.Vector3( x, y, z ).multiplyScalar( this.scale );
}
// Viviani's Curve
THREE.Curves.VivianiCurve = THREE.Curve.create(
// Viviani's Curve
function( radius ) {
function VivianiCurve( radius ) {
this.radius = radius;
this.radius = radius;
},
}
function( t ) {
VivianiCurve.prototype = Object.create( THREE.Curve.prototype );
VivianiCurve.prototype.constructor = VivianiCurve;
t = t * 4 * Math.PI; // Normalized to 0..1
var a = this.radius / 2;
var tx = a * ( 1 + Math.cos( t ) ),
ty = a * Math.sin( t ),
tz = 2 * a * Math.sin( t / 2 );
VivianiCurve.prototype.getPoint = function( t ) {
return new THREE.Vector3( tx, ty, tz );
t = t * 4 * Math.PI; // normalized to 0..1
var a = this.radius / 2;
}
var x = a * ( 1 + Math.cos( t ) );
var y = a * Math.sin( t );
var z = 2 * a * Math.sin( t / 2 );
);
return new THREE.Vector3( x, y, z );
};
THREE.Curves.KnotCurve = THREE.Curve.create(
// KnotCurve
function() {
function KnotCurve() {}
},
KnotCurve.prototype = Object.create( THREE.Curve.prototype );
KnotCurve.prototype.constructor = KnotCurve;
function( t ) {
KnotCurve.prototype.getPoint = function( t ) {
t *= 2 * Math.PI;
t *= 2 * Math.PI;
var R = 10;
var s = 50;
var tx = s * Math.sin( t ),
ty = Math.cos( t ) * ( R + s * Math.cos( t ) ),
tz = Math.sin( t ) * ( R + s * Math.cos( t ) );
var R = 10;
var s = 50;
return new THREE.Vector3( tx, ty, tz );
var x = s * Math.sin( t );
var y = Math.cos( t ) * ( R + s * Math.cos( t ) );
var z = Math.sin( t ) * ( R + s * Math.cos( t ) );
}
return new THREE.Vector3( x, y, z );
);
};
THREE.Curves.HelixCurve = THREE.Curve.create(
// HelixCurve
function() {
function HelixCurve() {}
},
HelixCurve.prototype = Object.create( THREE.Curve.prototype );
HelixCurve.prototype.constructor = HelixCurve;
function( t ) {
HelixCurve.prototype.getPoint = function( t ) {
var a = 30; // radius
var b = 150; //height
var t2 = 2 * Math.PI * t * b / 30;
var tx = Math.cos( t2 ) * a,
ty = Math.sin( t2 ) * a,
tz = b * t;
var a = 30; // radius
var b = 150; // height
return new THREE.Vector3( tx, ty, tz );
var t2 = 2 * Math.PI * t * b / 30;
}
var x = Math.cos( t2 ) * a;
var y = Math.sin( t2 ) * a;
var z = b * t;
);
return new THREE.Vector3( x, y, z );
THREE.Curves.TrefoilKnot = THREE.Curve.create(
};
function( s ) {
// TrefoilKnot
this.scale = ( s === undefined ) ? 10 : s;
function TrefoilKnot( s ) {
},
this.scale = ( s === undefined ) ? 10 : s;
function( t ) {
};
t *= Math.PI * 2;
var tx = ( 2 + Math.cos( 3 * t ) ) * Math.cos( 2 * t ),
ty = ( 2 + Math.cos( 3 * t ) ) * Math.sin( 2 * t ),
tz = Math.sin( 3 * t );
TrefoilKnot.prototype = Object.create( THREE.Curve.prototype );
TrefoilKnot.prototype.constructor = TrefoilKnot;
return new THREE.Vector3( tx, ty, tz ).multiplyScalar( this.scale );
TrefoilKnot.prototype.getPoint = function( t ) {
}
t *= Math.PI * 2;
);
var x = ( 2 + Math.cos( 3 * t ) ) * Math.cos( 2 * t );
var y = ( 2 + Math.cos( 3 * t ) ) * Math.sin( 2 * t );
var z = Math.sin( 3 * t );
THREE.Curves.TorusKnot = THREE.Curve.create(
return new THREE.Vector3( x, y, z ).multiplyScalar( this.scale );
function( s ) {
};
this.scale = ( s === undefined ) ? 10 : s;
// TorusKnot
},
function TorusKnot( s ) {
function( t ) {
this.scale = ( s === undefined ) ? 10 : s;
var p = 3,
q = 4;
t *= Math.PI * 2;
var tx = ( 2 + Math.cos( q * t ) ) * Math.cos( p * t ),
ty = ( 2 + Math.cos( q * t ) ) * Math.sin( p * t ),
tz = Math.sin( q * t );
};
return new THREE.Vector3( tx, ty, tz ).multiplyScalar( this.scale );
TorusKnot.prototype = Object.create( THREE.Curve.prototype );
TorusKnot.prototype.constructor = TorusKnot;
}
TorusKnot.prototype.getPoint = function( t ) {
);
var p = 3;
var q = 4;
t *= Math.PI * 2;
THREE.Curves.CinquefoilKnot = THREE.Curve.create(
var x = ( 2 + Math.cos( q * t ) ) * Math.cos( p * t );
var y = ( 2 + Math.cos( q * t ) ) * Math.sin( p * t );
var z = Math.sin( q * t );
function( s ) {
return new THREE.Vector3( x, y, z ).multiplyScalar( this.scale );
this.scale = ( s === undefined ) ? 10 : s;
};
},
// CinquefoilKnot
function( t ) {
function CinquefoilKnot( s ) {
var p = 2,
q = 5;
t *= Math.PI * 2;
var tx = ( 2 + Math.cos( q * t ) ) * Math.cos( p * t ),
ty = ( 2 + Math.cos( q * t ) ) * Math.sin( p * t ),
tz = Math.sin( q * t );
this.scale = ( s === undefined ) ? 10 : s;
return new THREE.Vector3( tx, ty, tz ).multiplyScalar( this.scale );
};
}
CinquefoilKnot.prototype = Object.create( THREE.Curve.prototype );
CinquefoilKnot.prototype.constructor = CinquefoilKnot;
);
CinquefoilKnot.prototype.getPoint = function( t ) {
var p = 2;
var q = 5;
THREE.Curves.TrefoilPolynomialKnot = THREE.Curve.create(
t *= Math.PI * 2;
function( s ) {
var x = ( 2 + Math.cos( q * t ) ) * Math.cos( p * t );
var y = ( 2 + Math.cos( q * t ) ) * Math.sin( p * t );
var z = Math.sin( q * t );
this.scale = ( s === undefined ) ? 10 : s;
return new THREE.Vector3( x, y, z ).multiplyScalar( this.scale );
},
};
function( t ) {
// TrefoilPolynomialKnot
t = t * 4 - 2;
var tx = Math.pow( t, 3 ) - 3 * t,
ty = Math.pow( t, 4 ) - 4 * t * t,
tz = 1 / 5 * Math.pow( t, 5 ) - 2 * t;
function TrefoilPolynomialKnot( s ) {
return new THREE.Vector3( tx, ty, tz ).multiplyScalar( this.scale );
this.scale = ( s === undefined ) ? 10 : s;
}
};
);
TrefoilPolynomialKnot.prototype = Object.create( THREE.Curve.prototype );
TrefoilPolynomialKnot.prototype.constructor = TrefoilPolynomialKnot;
// var scaleTo = function(x, y) {
// var r = y - x;
// return function(t) {
// t * r + x;
// };
// }
var scaleTo = function( x, y, t ) {
TrefoilPolynomialKnot.prototype.getPoint = function( t ) {
var r = y - x;
return t * r + x;
t = t * 4 - 2;
};
var x = Math.pow( t, 3 ) - 3 * t;
var y = Math.pow( t, 4 ) - 4 * t * t;
var z = 1 / 5 * Math.pow( t, 5 ) - 2 * t;
THREE.Curves.FigureEightPolynomialKnot = THREE.Curve.create(
return new THREE.Vector3( x, y, z ).multiplyScalar( this.scale );
function( s ) {
};
this.scale = ( s === undefined ) ? 1 : s;
var scaleTo = function( x, y, t ) {
},
var r = y - x;
return t * r + x;
function( t ) {
};
t = scaleTo( - 4, 4, t );
var tx = 2 / 5 * t * ( t * t - 7 ) * ( t * t - 10 ),
ty = Math.pow( t, 4 ) - 13 * t * t,
tz = 1 / 10 * t * ( t * t - 4 ) * ( t * t - 9 ) * ( t * t - 12 );
// FigureEightPolynomialKnot
return new THREE.Vector3( tx, ty, tz ).multiplyScalar( this.scale );
function FigureEightPolynomialKnot( s ) {
}
this.scale = ( s === undefined ) ? 1 : s;
);
};
THREE.Curves.DecoratedTorusKnot4a = THREE.Curve.create(
FigureEightPolynomialKnot.prototype = Object.create( THREE.Curve.prototype );
FigureEightPolynomialKnot.prototype.constructor = FigureEightPolynomialKnot;
function( s ) {
FigureEightPolynomialKnot.prototype.getPoint = function( t ) {
this.scale = ( s === undefined ) ? 40 : s;
t = scaleTo( - 4, 4, t );
},
var x = 2 / 5 * t * ( t * t - 7 ) * ( t * t - 10 );
var y = Math.pow( t, 4 ) - 13 * t * t;
var z = 1 / 10 * t * ( t * t - 4 ) * ( t * t - 9 ) * ( t * t - 12 );
function( t ) {
return new THREE.Vector3( x, y, z ).multiplyScalar( this.scale );
t *= Math.PI * 2;
var
x = Math.cos( 2 * t ) * ( 1 + 0.6 * ( Math.cos( 5 * t ) + 0.75 * Math.cos( 10 * t ) ) ),
y = Math.sin( 2 * t ) * ( 1 + 0.6 * ( Math.cos( 5 * t ) + 0.75 * Math.cos( 10 * t ) ) ),
z = 0.35 * Math.sin( 5 * t );
};
return new THREE.Vector3( x, y, z ).multiplyScalar( this.scale );
// DecoratedTorusKnot4a
}
function DecoratedTorusKnot4a( s ) {
);
this.scale = ( s === undefined ) ? 40 : s;
};
THREE.Curves.DecoratedTorusKnot4b = THREE.Curve.create(
DecoratedTorusKnot4a.prototype = Object.create( THREE.Curve.prototype );
DecoratedTorusKnot4a.prototype.constructor = DecoratedTorusKnot4a;
function( s ) {
DecoratedTorusKnot4a.prototype.getPoint = function( t ) {
this.scale = ( s === undefined ) ? 40 : s;
t *= Math.PI * 2;
},
var x = Math.cos( 2 * t ) * ( 1 + 0.6 * ( Math.cos( 5 * t ) + 0.75 * Math.cos( 10 * t ) ) );
var y = Math.sin( 2 * t ) * ( 1 + 0.6 * ( Math.cos( 5 * t ) + 0.75 * Math.cos( 10 * t ) ) );
var z = 0.35 * Math.sin( 5 * t );
function( t ) {
return new THREE.Vector3( x, y, z ).multiplyScalar( this.scale );
var fi = t * Math.PI * 2;
var x = Math.cos( 2 * fi ) * ( 1 + 0.45 * Math.cos( 3 * fi ) + 0.4 * Math.cos( 9 * fi ) ),
y = Math.sin( 2 * fi ) * ( 1 + 0.45 * Math.cos( 3 * fi ) + 0.4 * Math.cos( 9 * fi ) ),
z = 0.2 * Math.sin( 9 * fi );
};
return new THREE.Vector3( x, y, z ).multiplyScalar( this.scale );
// DecoratedTorusKnot4b
}
function DecoratedTorusKnot4b( s ) {
);
this.scale = ( s === undefined ) ? 40 : s;
};
THREE.Curves.DecoratedTorusKnot5a = THREE.Curve.create(
DecoratedTorusKnot4b.prototype = Object.create( THREE.Curve.prototype );
DecoratedTorusKnot4b.prototype.constructor = DecoratedTorusKnot4b;
function( s ) {
DecoratedTorusKnot4b.prototype.getPoint = function( t ) {
this.scale = ( s === undefined ) ? 40 : s;
var fi = t * Math.PI * 2;
},
var x = Math.cos( 2 * fi ) * ( 1 + 0.45 * Math.cos( 3 * fi ) + 0.4 * Math.cos( 9 * fi ) );
var y = Math.sin( 2 * fi ) * ( 1 + 0.45 * Math.cos( 3 * fi ) + 0.4 * Math.cos( 9 * fi ) );
var z = 0.2 * Math.sin( 9 * fi );
function( t ) {
return new THREE.Vector3( x, y, z ).multiplyScalar( this.scale );
var fi = t * Math.PI * 2;
var x = Math.cos( 3 * fi ) * ( 1 + 0.3 * Math.cos( 5 * fi ) + 0.5 * Math.cos( 10 * fi ) ),
y = Math.sin( 3 * fi ) * ( 1 + 0.3 * Math.cos( 5 * fi ) + 0.5 * Math.cos( 10 * fi ) ),
z = 0.2 * Math.sin( 20 * fi );
};
return new THREE.Vector3( x, y, z ).multiplyScalar( this.scale );
// DecoratedTorusKnot5a
}
function DecoratedTorusKnot5a( s ) {
);
this.scale = ( s === undefined ) ? 40 : s;
THREE.Curves.DecoratedTorusKnot5c = THREE.Curve.create(
};
function( s ) {
DecoratedTorusKnot5a.prototype = Object.create( THREE.Curve.prototype );
DecoratedTorusKnot5a.prototype.constructor = DecoratedTorusKnot5a;
this.scale = ( s === undefined ) ? 40 : s;
DecoratedTorusKnot5a.prototype.getPoint = function( t ) {
},
var fi = t * Math.PI * 2;
function( t ) {
var x = Math.cos( 3 * fi ) * ( 1 + 0.3 * Math.cos( 5 * fi ) + 0.5 * Math.cos( 10 * fi ) );
var y = Math.sin( 3 * fi ) * ( 1 + 0.3 * Math.cos( 5 * fi ) + 0.5 * Math.cos( 10 * fi ) );
var z = 0.2 * Math.sin( 20 * fi );
var fi = t * Math.PI * 2;
var x = Math.cos( 4 * fi ) * ( 1 + 0.5 * ( Math.cos( 5 * fi ) + 0.4 * Math.cos( 20 * fi ) ) ),
y = Math.sin( 4 * fi ) * ( 1 + 0.5 * ( Math.cos( 5 * fi ) + 0.4 * Math.cos( 20 * fi ) ) ),
z = 0.35 * Math.sin( 15 * fi );
return new THREE.Vector3( x, y, z ).multiplyScalar( this.scale );
return new THREE.Vector3( x, y, z ).multiplyScalar( this.scale );
};
}
// DecoratedTorusKnot5c
);
function DecoratedTorusKnot5c( s ) {
this.scale = ( s === undefined ) ? 40 : s;
};
DecoratedTorusKnot5c.prototype = Object.create( THREE.Curve.prototype );
DecoratedTorusKnot5c.prototype.constructor = DecoratedTorusKnot5c;
DecoratedTorusKnot5c.prototype.getPoint = function( t ) {
var fi = t * Math.PI * 2;
var x = Math.cos( 4 * fi ) * ( 1 + 0.5 * ( Math.cos( 5 * fi ) + 0.4 * Math.cos( 20 * fi ) ) );
var y = Math.sin( 4 * fi ) * ( 1 + 0.5 * ( Math.cos( 5 * fi ) + 0.4 * Math.cos( 20 * fi ) ) );
var z = 0.35 * Math.sin( 15 * fi );
return new THREE.Vector3( x, y, z ).multiplyScalar( this.scale );
};
// export
Curves.GrannyKnot = GrannyKnot;
Curves.HeartCurve = HeartCurve;
Curves.VivianiCurve = VivianiCurve;
Curves.KnotCurve = KnotCurve;
Curves.HelixCurve = HelixCurve;
Curves.TrefoilKnot = TrefoilKnot;
Curves.TorusKnot = TorusKnot;
Curves.CinquefoilKnot = CinquefoilKnot;
Curves.TrefoilPolynomialKnot = TrefoilPolynomialKnot;
Curves.FigureEightPolynomialKnot = FigureEightPolynomialKnot;
Curves.DecoratedTorusKnot4a = DecoratedTorusKnot4a;
Curves.DecoratedTorusKnot4b = DecoratedTorusKnot4b;
Curves.DecoratedTorusKnot5a = DecoratedTorusKnot5a;
Curves.DecoratedTorusKnot5c = DecoratedTorusKnot5c;
} ) ( THREE.Curves = THREE.Curves || {} );
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