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e90ca7df
编写于
12月 23, 2016
作者:
M
Mugen87
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CurveExtras: Format
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examples/js/CurveExtras.js
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...
...
@@ -3,361 +3,361 @@
* @author zz85
*
* Formulas collected from various sources
*
http://mathworld.wolfram.com/HeartCurve.html
*
http://mathdl.maa.org/images/upload_library/23/stemkoski/knots/page6.html
*
http://en.wikipedia.org/wiki/Viviani%27s_curve
*
http://mathdl.maa.org/images/upload_library/23/stemkoski/knots/page4.html
*
http://www.mi.sanu.ac.rs/vismath/taylorapril2011/Taylor.pdf
*
http://prideout.net/blog/?p=44
* http://mathworld.wolfram.com/HeartCurve.html
* http://mathdl.maa.org/images/upload_library/23/stemkoski/knots/page6.html
* http://en.wikipedia.org/wiki/Viviani%27s_curve
* http://mathdl.maa.org/images/upload_library/23/stemkoski/knots/page4.html
* http://www.mi.sanu.ac.rs/vismath/taylorapril2011/Taylor.pdf
* http://prideout.net/blog/?p=44
*/
(
function
(
Curves
)
{
// GrannyKnot
// GrannyKnot
function
GrannyKnot
()
{}
function
GrannyKnot
()
{}
GrannyKnot
.
prototype
=
Object
.
create
(
THREE
.
Curve
.
prototype
);
GrannyKnot
.
prototype
.
constructor
=
GrannyKnot
;
GrannyKnot
.
prototype
=
Object
.
create
(
THREE
.
Curve
.
prototype
);
GrannyKnot
.
prototype
.
constructor
=
GrannyKnot
;
GrannyKnot
.
prototype
.
getPoint
=
function
(
t
)
{
GrannyKnot
.
prototype
.
getPoint
=
function
(
t
)
{
t
=
2
*
Math
.
PI
*
t
;
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
);
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
);
return
new
THREE
.
Vector3
(
x
,
y
,
z
).
multiplyScalar
(
20
);
};
};
// HeartCurve
// HeartCurve
function
HeartCurve
(
s
)
{
function
HeartCurve
(
s
)
{
this
.
scale
=
(
s
===
undefined
)
?
5
:
s
;
this
.
scale
=
(
s
===
undefined
)
?
5
:
s
;
}
}
HeartCurve
.
prototype
=
Object
.
create
(
THREE
.
Curve
.
prototype
);
HeartCurve
.
prototype
.
constructor
=
HeartCurve
;
HeartCurve
.
prototype
=
Object
.
create
(
THREE
.
Curve
.
prototype
);
HeartCurve
.
prototype
.
constructor
=
HeartCurve
;
HeartCurve
.
prototype
.
getPoint
=
function
(
t
)
{
HeartCurve
.
prototype
.
getPoint
=
function
(
t
)
{
t
*=
2
*
Math
.
PI
;
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
;
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
);
return
new
THREE
.
Vector3
(
x
,
y
,
z
).
multiplyScalar
(
this
.
scale
);
}
}
// Viviani's Curve
// Viviani's Curve
function
VivianiCurve
(
radius
)
{
function
VivianiCurve
(
radius
)
{
this
.
radius
=
radius
;
this
.
radius
=
radius
;
}
}
VivianiCurve
.
prototype
=
Object
.
create
(
THREE
.
Curve
.
prototype
);
VivianiCurve
.
prototype
.
constructor
=
VivianiCurve
;
VivianiCurve
.
prototype
=
Object
.
create
(
THREE
.
Curve
.
prototype
);
VivianiCurve
.
prototype
.
constructor
=
VivianiCurve
;
VivianiCurve
.
prototype
.
getPoint
=
function
(
t
)
{
VivianiCurve
.
prototype
.
getPoint
=
function
(
t
)
{
t
=
t
*
4
*
Math
.
PI
;
// normalized to 0..1
var
a
=
this
.
radius
/
2
;
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
);
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
);
return
new
THREE
.
Vector3
(
x
,
y
,
z
);
};
};
// KnotCurve
// KnotCurve
function
KnotCurve
()
{}
function
KnotCurve
()
{}
KnotCurve
.
prototype
=
Object
.
create
(
THREE
.
Curve
.
prototype
);
KnotCurve
.
prototype
.
constructor
=
KnotCurve
;
KnotCurve
.
prototype
=
Object
.
create
(
THREE
.
Curve
.
prototype
);
KnotCurve
.
prototype
.
constructor
=
KnotCurve
;
KnotCurve
.
prototype
.
getPoint
=
function
(
t
)
{
KnotCurve
.
prototype
.
getPoint
=
function
(
t
)
{
t
*=
2
*
Math
.
PI
;
t
*=
2
*
Math
.
PI
;
var
R
=
10
;
var
s
=
50
;
var
R
=
10
;
var
s
=
50
;
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
)
);
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
);
return
new
THREE
.
Vector3
(
x
,
y
,
z
);
};
};
// HelixCurve
// HelixCurve
function
HelixCurve
()
{}
function
HelixCurve
()
{}
HelixCurve
.
prototype
=
Object
.
create
(
THREE
.
Curve
.
prototype
);
HelixCurve
.
prototype
.
constructor
=
HelixCurve
;
HelixCurve
.
prototype
=
Object
.
create
(
THREE
.
Curve
.
prototype
);
HelixCurve
.
prototype
.
constructor
=
HelixCurve
;
HelixCurve
.
prototype
.
getPoint
=
function
(
t
)
{
HelixCurve
.
prototype
.
getPoint
=
function
(
t
)
{
var
a
=
30
;
// radius
var
b
=
150
;
// height
var
a
=
30
;
// radius
var
b
=
150
;
// height
var
t2
=
2
*
Math
.
PI
*
t
*
b
/
30
;
var
t2
=
2
*
Math
.
PI
*
t
*
b
/
30
;
var
x
=
Math
.
cos
(
t2
)
*
a
;
var
y
=
Math
.
sin
(
t2
)
*
a
;
var
z
=
b
*
t
;
var
x
=
Math
.
cos
(
t2
)
*
a
;
var
y
=
Math
.
sin
(
t2
)
*
a
;
var
z
=
b
*
t
;
return
new
THREE
.
Vector3
(
x
,
y
,
z
);
return
new
THREE
.
Vector3
(
x
,
y
,
z
);
};
};
// TrefoilKnot
// TrefoilKnot
function
TrefoilKnot
(
s
)
{
function
TrefoilKnot
(
s
)
{
this
.
scale
=
(
s
===
undefined
)
?
10
:
s
;
this
.
scale
=
(
s
===
undefined
)
?
10
:
s
;
};
};
TrefoilKnot
.
prototype
=
Object
.
create
(
THREE
.
Curve
.
prototype
);
TrefoilKnot
.
prototype
.
constructor
=
TrefoilKnot
;
TrefoilKnot
.
prototype
=
Object
.
create
(
THREE
.
Curve
.
prototype
);
TrefoilKnot
.
prototype
.
constructor
=
TrefoilKnot
;
TrefoilKnot
.
prototype
.
getPoint
=
function
(
t
)
{
TrefoilKnot
.
prototype
.
getPoint
=
function
(
t
)
{
t
*=
Math
.
PI
*
2
;
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
);
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
);
return
new
THREE
.
Vector3
(
x
,
y
,
z
).
multiplyScalar
(
this
.
scale
);
return
new
THREE
.
Vector3
(
x
,
y
,
z
).
multiplyScalar
(
this
.
scale
);
};
};
// TorusKnot
// TorusKnot
function
TorusKnot
(
s
)
{
function
TorusKnot
(
s
)
{
this
.
scale
=
(
s
===
undefined
)
?
10
:
s
;
this
.
scale
=
(
s
===
undefined
)
?
10
:
s
;
};
};
TorusKnot
.
prototype
=
Object
.
create
(
THREE
.
Curve
.
prototype
);
TorusKnot
.
prototype
.
constructor
=
TorusKnot
;
TorusKnot
.
prototype
=
Object
.
create
(
THREE
.
Curve
.
prototype
);
TorusKnot
.
prototype
.
constructor
=
TorusKnot
;
TorusKnot
.
prototype
.
getPoint
=
function
(
t
)
{
TorusKnot
.
prototype
.
getPoint
=
function
(
t
)
{
var
p
=
3
;
var
q
=
4
;
var
p
=
3
;
var
q
=
4
;
t
*=
Math
.
PI
*
2
;
t
*=
Math
.
PI
*
2
;
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
);
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
);
return
new
THREE
.
Vector3
(
x
,
y
,
z
).
multiplyScalar
(
this
.
scale
);
return
new
THREE
.
Vector3
(
x
,
y
,
z
).
multiplyScalar
(
this
.
scale
);
};
};
// CinquefoilKnot
// CinquefoilKnot
function
CinquefoilKnot
(
s
)
{
function
CinquefoilKnot
(
s
)
{
this
.
scale
=
(
s
===
undefined
)
?
10
:
s
;
this
.
scale
=
(
s
===
undefined
)
?
10
:
s
;
};
};
CinquefoilKnot
.
prototype
=
Object
.
create
(
THREE
.
Curve
.
prototype
);
CinquefoilKnot
.
prototype
.
constructor
=
CinquefoilKnot
;
CinquefoilKnot
.
prototype
=
Object
.
create
(
THREE
.
Curve
.
prototype
);
CinquefoilKnot
.
prototype
.
constructor
=
CinquefoilKnot
;
CinquefoilKnot
.
prototype
.
getPoint
=
function
(
t
)
{
CinquefoilKnot
.
prototype
.
getPoint
=
function
(
t
)
{
var
p
=
2
;
var
q
=
5
;
var
p
=
2
;
var
q
=
5
;
t
*=
Math
.
PI
*
2
;
t
*=
Math
.
PI
*
2
;
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
);
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
);
return
new
THREE
.
Vector3
(
x
,
y
,
z
).
multiplyScalar
(
this
.
scale
);
return
new
THREE
.
Vector3
(
x
,
y
,
z
).
multiplyScalar
(
this
.
scale
);
};
};
// TrefoilPolynomialKnot
// TrefoilPolynomialKnot
function
TrefoilPolynomialKnot
(
s
)
{
function
TrefoilPolynomialKnot
(
s
)
{
this
.
scale
=
(
s
===
undefined
)
?
10
:
s
;
this
.
scale
=
(
s
===
undefined
)
?
10
:
s
;
};
};
TrefoilPolynomialKnot
.
prototype
=
Object
.
create
(
THREE
.
Curve
.
prototype
);
TrefoilPolynomialKnot
.
prototype
.
constructor
=
TrefoilPolynomialKnot
;
TrefoilPolynomialKnot
.
prototype
=
Object
.
create
(
THREE
.
Curve
.
prototype
);
TrefoilPolynomialKnot
.
prototype
.
constructor
=
TrefoilPolynomialKnot
;
TrefoilPolynomialKnot
.
prototype
.
getPoint
=
function
(
t
)
{
TrefoilPolynomialKnot
.
prototype
.
getPoint
=
function
(
t
)
{
t
=
t
*
4
-
2
;
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
;
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
;
return
new
THREE
.
Vector3
(
x
,
y
,
z
).
multiplyScalar
(
this
.
scale
);
return
new
THREE
.
Vector3
(
x
,
y
,
z
).
multiplyScalar
(
this
.
scale
);
};
};
var
scaleTo
=
function
(
x
,
y
,
t
)
{
var
scaleTo
=
function
(
x
,
y
,
t
)
{
var
r
=
y
-
x
;
return
t
*
r
+
x
;
var
r
=
y
-
x
;
return
t
*
r
+
x
;
};
};
// FigureEightPolynomialKnot
// FigureEightPolynomialKnot
function
FigureEightPolynomialKnot
(
s
)
{
function
FigureEightPolynomialKnot
(
s
)
{
this
.
scale
=
(
s
===
undefined
)
?
1
:
s
;
this
.
scale
=
(
s
===
undefined
)
?
1
:
s
;
};
};
FigureEightPolynomialKnot
.
prototype
=
Object
.
create
(
THREE
.
Curve
.
prototype
);
FigureEightPolynomialKnot
.
prototype
.
constructor
=
FigureEightPolynomialKnot
;
FigureEightPolynomialKnot
.
prototype
=
Object
.
create
(
THREE
.
Curve
.
prototype
);
FigureEightPolynomialKnot
.
prototype
.
constructor
=
FigureEightPolynomialKnot
;
FigureEightPolynomialKnot
.
prototype
.
getPoint
=
function
(
t
)
{
FigureEightPolynomialKnot
.
prototype
.
getPoint
=
function
(
t
)
{
t
=
scaleTo
(
-
4
,
4
,
t
);
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
);
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
);
return
new
THREE
.
Vector3
(
x
,
y
,
z
).
multiplyScalar
(
this
.
scale
);
return
new
THREE
.
Vector3
(
x
,
y
,
z
).
multiplyScalar
(
this
.
scale
);
};
};
// DecoratedTorusKnot4a
// DecoratedTorusKnot4a
function
DecoratedTorusKnot4a
(
s
)
{
function
DecoratedTorusKnot4a
(
s
)
{
this
.
scale
=
(
s
===
undefined
)
?
40
:
s
;
this
.
scale
=
(
s
===
undefined
)
?
40
:
s
;
};
};
DecoratedTorusKnot4a
.
prototype
=
Object
.
create
(
THREE
.
Curve
.
prototype
);
DecoratedTorusKnot4a
.
prototype
.
constructor
=
DecoratedTorusKnot4a
;
DecoratedTorusKnot4a
.
prototype
=
Object
.
create
(
THREE
.
Curve
.
prototype
);
DecoratedTorusKnot4a
.
prototype
.
constructor
=
DecoratedTorusKnot4a
;
DecoratedTorusKnot4a
.
prototype
.
getPoint
=
function
(
t
)
{
DecoratedTorusKnot4a
.
prototype
.
getPoint
=
function
(
t
)
{
t
*=
Math
.
PI
*
2
;
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
);
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
);
return
new
THREE
.
Vector3
(
x
,
y
,
z
).
multiplyScalar
(
this
.
scale
);
return
new
THREE
.
Vector3
(
x
,
y
,
z
).
multiplyScalar
(
this
.
scale
);
};
};
// DecoratedTorusKnot4b
// DecoratedTorusKnot4b
function
DecoratedTorusKnot4b
(
s
)
{
function
DecoratedTorusKnot4b
(
s
)
{
this
.
scale
=
(
s
===
undefined
)
?
40
:
s
;
this
.
scale
=
(
s
===
undefined
)
?
40
:
s
;
};
};
DecoratedTorusKnot4b
.
prototype
=
Object
.
create
(
THREE
.
Curve
.
prototype
);
DecoratedTorusKnot4b
.
prototype
.
constructor
=
DecoratedTorusKnot4b
;
DecoratedTorusKnot4b
.
prototype
=
Object
.
create
(
THREE
.
Curve
.
prototype
);
DecoratedTorusKnot4b
.
prototype
.
constructor
=
DecoratedTorusKnot4b
;
DecoratedTorusKnot4b
.
prototype
.
getPoint
=
function
(
t
)
{
DecoratedTorusKnot4b
.
prototype
.
getPoint
=
function
(
t
)
{
var
fi
=
t
*
Math
.
PI
*
2
;
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
);
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
);
return
new
THREE
.
Vector3
(
x
,
y
,
z
).
multiplyScalar
(
this
.
scale
);
return
new
THREE
.
Vector3
(
x
,
y
,
z
).
multiplyScalar
(
this
.
scale
);
};
};
// DecoratedTorusKnot5a
// DecoratedTorusKnot5a
function
DecoratedTorusKnot5a
(
s
)
{
function
DecoratedTorusKnot5a
(
s
)
{
this
.
scale
=
(
s
===
undefined
)
?
40
:
s
;
this
.
scale
=
(
s
===
undefined
)
?
40
:
s
;
};
};
DecoratedTorusKnot5a
.
prototype
=
Object
.
create
(
THREE
.
Curve
.
prototype
);
DecoratedTorusKnot5a
.
prototype
.
constructor
=
DecoratedTorusKnot5a
;
DecoratedTorusKnot5a
.
prototype
=
Object
.
create
(
THREE
.
Curve
.
prototype
);
DecoratedTorusKnot5a
.
prototype
.
constructor
=
DecoratedTorusKnot5a
;
DecoratedTorusKnot5a
.
prototype
.
getPoint
=
function
(
t
)
{
DecoratedTorusKnot5a
.
prototype
.
getPoint
=
function
(
t
)
{
var
fi
=
t
*
Math
.
PI
*
2
;
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
)
);
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
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
);
return
new
THREE
.
Vector3
(
x
,
y
,
z
).
multiplyScalar
(
this
.
scale
);
return
new
THREE
.
Vector3
(
x
,
y
,
z
).
multiplyScalar
(
this
.
scale
);
};
};
// DecoratedTorusKnot5c
// DecoratedTorusKnot5c
function
DecoratedTorusKnot5c
(
s
)
{
function
DecoratedTorusKnot5c
(
s
)
{
this
.
scale
=
(
s
===
undefined
)
?
40
:
s
;
this
.
scale
=
(
s
===
undefined
)
?
40
:
s
;
};
};
DecoratedTorusKnot5c
.
prototype
=
Object
.
create
(
THREE
.
Curve
.
prototype
);
DecoratedTorusKnot5c
.
prototype
.
constructor
=
DecoratedTorusKnot5c
;
DecoratedTorusKnot5c
.
prototype
=
Object
.
create
(
THREE
.
Curve
.
prototype
);
DecoratedTorusKnot5c
.
prototype
.
constructor
=
DecoratedTorusKnot5c
;
DecoratedTorusKnot5c
.
prototype
.
getPoint
=
function
(
t
)
{
DecoratedTorusKnot5c
.
prototype
.
getPoint
=
function
(
t
)
{
var
fi
=
t
*
Math
.
PI
*
2
;
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
);
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
);
return
new
THREE
.
Vector3
(
x
,
y
,
z
).
multiplyScalar
(
this
.
scale
);
};
};
// export
// 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
;
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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