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201221016Kim Haeram
WebGL Transform Tutorial
Commits
4c7219ff
Commit
4c7219ff
authored
6 years ago
by
201221016Kim Haeram
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gl-matrix-min.js
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4c7219ff
/*!
@fileoverview gl-matrix - High performance matrix and vector operations
@author Brandon Jones
@author Colin MacKenzie IV
@version 3.0.0
Copyright (c) 2015-2019, Brandon Jones, Colin MacKenzie IV.
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in
all copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
THE SOFTWARE.
*/
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=
e
,
i
[
5
]
=
o
,
i
},
set
:
function
(
t
,
n
,
a
,
r
,
u
,
e
,
o
){
return
t
[
0
]
=
n
,
t
[
1
]
=
a
,
t
[
2
]
=
r
,
t
[
3
]
=
u
,
t
[
4
]
=
e
,
t
[
5
]
=
o
,
t
},
invert
:
function
(
t
,
n
){
var
a
=
n
[
0
],
r
=
n
[
1
],
u
=
n
[
2
],
e
=
n
[
3
],
o
=
n
[
4
],
i
=
n
[
5
],
c
=
a
*
e
-
r
*
u
;
return
c
?(
c
=
1
/
c
,
t
[
0
]
=
e
*
c
,
t
[
1
]
=-
r
*
c
,
t
[
2
]
=-
u
*
c
,
t
[
3
]
=
a
*
c
,
t
[
4
]
=
(
u
*
i
-
e
*
o
)
*
c
,
t
[
5
]
=
(
r
*
o
-
a
*
i
)
*
c
,
t
):
null
},
determinant
:
function
(
t
){
return
t
[
0
]
*
t
[
3
]
-
t
[
1
]
*
t
[
2
]},
multiply
:
M
,
rotate
:
function
(
t
,
n
,
a
){
var
r
=
n
[
0
],
u
=
n
[
1
],
e
=
n
[
2
],
o
=
n
[
3
],
i
=
n
[
4
],
c
=
n
[
5
],
h
=
Math
.
sin
(
a
),
s
=
Math
.
cos
(
a
);
return
t
[
0
]
=
r
*
s
+
e
*
h
,
t
[
1
]
=
u
*
s
+
o
*
h
,
t
[
2
]
=
r
*-
h
+
e
*
s
,
t
[
3
]
=
u
*-
h
+
o
*
s
,
t
[
4
]
=
i
,
t
[
5
]
=
c
,
t
},
scale
:
function
(
t
,
n
,
a
){
var
r
=
n
[
0
],
u
=
n
[
1
],
e
=
n
[
2
],
o
=
n
[
3
],
i
=
n
[
4
],
c
=
n
[
5
],
h
=
a
[
0
],
s
=
a
[
1
];
return
t
[
0
]
=
r
*
h
,
t
[
1
]
=
u
*
h
,
t
[
2
]
=
e
*
s
,
t
[
3
]
=
o
*
s
,
t
[
4
]
=
i
,
t
[
5
]
=
c
,
t
},
translate
:
function
(
t
,
n
,
a
){
var
r
=
n
[
0
],
u
=
n
[
1
],
e
=
n
[
2
],
o
=
n
[
3
],
i
=
n
[
4
],
c
=
n
[
5
],
h
=
a
[
0
],
s
=
a
[
1
];
return
t
[
0
]
=
r
,
t
[
1
]
=
u
,
t
[
2
]
=
e
,
t
[
3
]
=
o
,
t
[
4
]
=
r
*
h
+
e
*
s
+
i
,
t
[
5
]
=
u
*
h
+
o
*
s
+
c
,
t
},
fromRotation
:
function
(
t
,
n
){
var
a
=
Math
.
sin
(
n
),
r
=
Math
.
cos
(
n
);
return
t
[
0
]
=
r
,
t
[
1
]
=
a
,
t
[
2
]
=-
a
,
t
[
3
]
=
r
,
t
[
4
]
=
0
,
t
[
5
]
=
0
,
t
},
fromScaling
:
function
(
t
,
n
){
return
t
[
0
]
=
n
[
0
],
t
[
1
]
=
0
,
t
[
2
]
=
0
,
t
[
3
]
=
n
[
1
],
t
[
4
]
=
0
,
t
[
5
]
=
0
,
t
},
fromTranslation
:
function
(
t
,
n
){
return
t
[
0
]
=
1
,
t
[
1
]
=
0
,
t
[
2
]
=
0
,
t
[
3
]
=
1
,
t
[
4
]
=
n
[
0
],
t
[
5
]
=
n
[
1
],
t
},
str
:
function
(
t
){
return
"
mat2d(
"
+
t
[
0
]
+
"
,
"
+
t
[
1
]
+
"
,
"
+
t
[
2
]
+
"
,
"
+
t
[
3
]
+
"
,
"
+
t
[
4
]
+
"
,
"
+
t
[
5
]
+
"
)
"
},
frob
:
function
(
t
){
return
Math
.
hypot
(
t
[
0
],
t
[
1
],
t
[
2
],
t
[
3
],
t
[
4
],
t
[
5
],
1
)},
add
:
function
(
t
,
n
,
a
){
return
t
[
0
]
=
n
[
0
]
+
a
[
0
],
t
[
1
]
=
n
[
1
]
+
a
[
1
],
t
[
2
]
=
n
[
2
]
+
a
[
2
],
t
[
3
]
=
n
[
3
]
+
a
[
3
],
t
[
4
]
=
n
[
4
]
+
a
[
4
],
t
[
5
]
=
n
[
5
]
+
a
[
5
],
t
},
subtract
:
f
,
multiplyScalar
:
function
(
t
,
n
,
a
){
return
t
[
0
]
=
n
[
0
]
*
a
,
t
[
1
]
=
n
[
1
]
*
a
,
t
[
2
]
=
n
[
2
]
*
a
,
t
[
3
]
=
n
[
3
]
*
a
,
t
[
4
]
=
n
[
4
]
*
a
,
t
[
5
]
=
n
[
5
]
*
a
,
t
},
multiplyScalarAndAdd
:
function
(
t
,
n
,
a
,
r
){
return
t
[
0
]
=
n
[
0
]
+
a
[
0
]
*
r
,
t
[
1
]
=
n
[
1
]
+
a
[
1
]
*
r
,
t
[
2
]
=
n
[
2
]
+
a
[
2
]
*
r
,
t
[
3
]
=
n
[
3
]
+
a
[
3
]
*
r
,
t
[
4
]
=
n
[
4
]
+
a
[
4
]
*
r
,
t
[
5
]
=
n
[
5
]
+
a
[
5
]
*
r
,
t
},
exactEquals
:
function
(
t
,
n
){
return
t
[
0
]
===
n
[
0
]
&&
t
[
1
]
===
n
[
1
]
&&
t
[
2
]
===
n
[
2
]
&&
t
[
3
]
===
n
[
3
]
&&
t
[
4
]
===
n
[
4
]
&&
t
[
5
]
===
n
[
5
]},
equals
:
function
(
t
,
a
){
var
r
=
t
[
0
],
u
=
t
[
1
],
e
=
t
[
2
],
o
=
t
[
3
],
i
=
t
[
4
],
c
=
t
[
5
],
h
=
a
[
0
],
s
=
a
[
1
],
M
=
a
[
2
],
f
=
a
[
3
],
l
=
a
[
4
],
v
=
a
[
5
];
return
Math
.
abs
(
r
-
h
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
r
),
Math
.
abs
(
h
))
&&
Math
.
abs
(
u
-
s
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
u
),
Math
.
abs
(
s
))
&&
Math
.
abs
(
e
-
M
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
e
),
Math
.
abs
(
M
))
&&
Math
.
abs
(
o
-
f
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
o
),
Math
.
abs
(
f
))
&&
Math
.
abs
(
i
-
l
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
i
),
Math
.
abs
(
l
))
&&
Math
.
abs
(
c
-
v
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
c
),
Math
.
abs
(
v
))},
mul
:
l
,
sub
:
v
});
function
m
(){
var
t
=
new
a
(
9
);
return
a
!=
Float32Array
&&
(
t
[
1
]
=
0
,
t
[
2
]
=
0
,
t
[
3
]
=
0
,
t
[
5
]
=
0
,
t
[
6
]
=
0
,
t
[
7
]
=
0
),
t
[
0
]
=
1
,
t
[
4
]
=
1
,
t
[
8
]
=
1
,
t
}
function
d
(
t
,
n
,
a
){
var
r
=
n
[
0
],
u
=
n
[
1
],
e
=
n
[
2
],
o
=
n
[
3
],
i
=
n
[
4
],
c
=
n
[
5
],
h
=
n
[
6
],
s
=
n
[
7
],
M
=
n
[
8
],
f
=
a
[
0
],
l
=
a
[
1
],
v
=
a
[
2
],
b
=
a
[
3
],
m
=
a
[
4
],
d
=
a
[
5
],
x
=
a
[
6
],
p
=
a
[
7
],
y
=
a
[
8
];
return
t
[
0
]
=
f
*
r
+
l
*
o
+
v
*
h
,
t
[
1
]
=
f
*
u
+
l
*
i
+
v
*
s
,
t
[
2
]
=
f
*
e
+
l
*
c
+
v
*
M
,
t
[
3
]
=
b
*
r
+
m
*
o
+
d
*
h
,
t
[
4
]
=
b
*
u
+
m
*
i
+
d
*
s
,
t
[
5
]
=
b
*
e
+
m
*
c
+
d
*
M
,
t
[
6
]
=
x
*
r
+
p
*
o
+
y
*
h
,
t
[
7
]
=
x
*
u
+
p
*
i
+
y
*
s
,
t
[
8
]
=
x
*
e
+
p
*
c
+
y
*
M
,
t
}
function
x
(
t
,
n
,
a
){
return
t
[
0
]
=
n
[
0
]
-
a
[
0
],
t
[
1
]
=
n
[
1
]
-
a
[
1
],
t
[
2
]
=
n
[
2
]
-
a
[
2
],
t
[
3
]
=
n
[
3
]
-
a
[
3
],
t
[
4
]
=
n
[
4
]
-
a
[
4
],
t
[
5
]
=
n
[
5
]
-
a
[
5
],
t
[
6
]
=
n
[
6
]
-
a
[
6
],
t
[
7
]
=
n
[
7
]
-
a
[
7
],
t
[
8
]
=
n
[
8
]
-
a
[
8
],
t
}
var
p
=
d
,
y
=
x
,
q
=
Object
.
freeze
({
create
:
m
,
fromMat4
:
function
(
t
,
n
){
return
t
[
0
]
=
n
[
0
],
t
[
1
]
=
n
[
1
],
t
[
2
]
=
n
[
2
],
t
[
3
]
=
n
[
4
],
t
[
4
]
=
n
[
5
],
t
[
5
]
=
n
[
6
],
t
[
6
]
=
n
[
8
],
t
[
7
]
=
n
[
9
],
t
[
8
]
=
n
[
10
],
t
},
clone
:
function
(
t
){
var
n
=
new
a
(
9
);
return
n
[
0
]
=
t
[
0
],
n
[
1
]
=
t
[
1
],
n
[
2
]
=
t
[
2
],
n
[
3
]
=
t
[
3
],
n
[
4
]
=
t
[
4
],
n
[
5
]
=
t
[
5
],
n
[
6
]
=
t
[
6
],
n
[
7
]
=
t
[
7
],
n
[
8
]
=
t
[
8
],
n
},
copy
:
function
(
t
,
n
){
return
t
[
0
]
=
n
[
0
],
t
[
1
]
=
n
[
1
],
t
[
2
]
=
n
[
2
],
t
[
3
]
=
n
[
3
],
t
[
4
]
=
n
[
4
],
t
[
5
]
=
n
[
5
],
t
[
6
]
=
n
[
6
],
t
[
7
]
=
n
[
7
],
t
[
8
]
=
n
[
8
],
t
},
fromValues
:
function
(
t
,
n
,
r
,
u
,
e
,
o
,
i
,
c
,
h
){
var
s
=
new
a
(
9
);
return
s
[
0
]
=
t
,
s
[
1
]
=
n
,
s
[
2
]
=
r
,
s
[
3
]
=
u
,
s
[
4
]
=
e
,
s
[
5
]
=
o
,
s
[
6
]
=
i
,
s
[
7
]
=
c
,
s
[
8
]
=
h
,
s
},
set
:
function
(
t
,
n
,
a
,
r
,
u
,
e
,
o
,
i
,
c
,
h
){
return
t
[
0
]
=
n
,
t
[
1
]
=
a
,
t
[
2
]
=
r
,
t
[
3
]
=
u
,
t
[
4
]
=
e
,
t
[
5
]
=
o
,
t
[
6
]
=
i
,
t
[
7
]
=
c
,
t
[
8
]
=
h
,
t
},
identity
:
function
(
t
){
return
t
[
0
]
=
1
,
t
[
1
]
=
0
,
t
[
2
]
=
0
,
t
[
3
]
=
0
,
t
[
4
]
=
1
,
t
[
5
]
=
0
,
t
[
6
]
=
0
,
t
[
7
]
=
0
,
t
[
8
]
=
1
,
t
},
transpose
:
function
(
t
,
n
){
if
(
t
===
n
){
var
a
=
n
[
1
],
r
=
n
[
2
],
u
=
n
[
5
];
t
[
1
]
=
n
[
3
],
t
[
2
]
=
n
[
6
],
t
[
3
]
=
a
,
t
[
5
]
=
n
[
7
],
t
[
6
]
=
r
,
t
[
7
]
=
u
}
else
t
[
0
]
=
n
[
0
],
t
[
1
]
=
n
[
3
],
t
[
2
]
=
n
[
6
],
t
[
3
]
=
n
[
1
],
t
[
4
]
=
n
[
4
],
t
[
5
]
=
n
[
7
],
t
[
6
]
=
n
[
2
],
t
[
7
]
=
n
[
5
],
t
[
8
]
=
n
[
8
];
return
t
},
invert
:
function
(
t
,
n
){
var
a
=
n
[
0
],
r
=
n
[
1
],
u
=
n
[
2
],
e
=
n
[
3
],
o
=
n
[
4
],
i
=
n
[
5
],
c
=
n
[
6
],
h
=
n
[
7
],
s
=
n
[
8
],
M
=
s
*
o
-
i
*
h
,
f
=-
s
*
e
+
i
*
c
,
l
=
h
*
e
-
o
*
c
,
v
=
a
*
M
+
r
*
f
+
u
*
l
;
return
v
?(
v
=
1
/
v
,
t
[
0
]
=
M
*
v
,
t
[
1
]
=
(
-
s
*
r
+
u
*
h
)
*
v
,
t
[
2
]
=
(
i
*
r
-
u
*
o
)
*
v
,
t
[
3
]
=
f
*
v
,
t
[
4
]
=
(
s
*
a
-
u
*
c
)
*
v
,
t
[
5
]
=
(
-
i
*
a
+
u
*
e
)
*
v
,
t
[
6
]
=
l
*
v
,
t
[
7
]
=
(
-
h
*
a
+
r
*
c
)
*
v
,
t
[
8
]
=
(
o
*
a
-
r
*
e
)
*
v
,
t
):
null
},
adjoint
:
function
(
t
,
n
){
var
a
=
n
[
0
],
r
=
n
[
1
],
u
=
n
[
2
],
e
=
n
[
3
],
o
=
n
[
4
],
i
=
n
[
5
],
c
=
n
[
6
],
h
=
n
[
7
],
s
=
n
[
8
];
return
t
[
0
]
=
o
*
s
-
i
*
h
,
t
[
1
]
=
u
*
h
-
r
*
s
,
t
[
2
]
=
r
*
i
-
u
*
o
,
t
[
3
]
=
i
*
c
-
e
*
s
,
t
[
4
]
=
a
*
s
-
u
*
c
,
t
[
5
]
=
u
*
e
-
a
*
i
,
t
[
6
]
=
e
*
h
-
o
*
c
,
t
[
7
]
=
r
*
c
-
a
*
h
,
t
[
8
]
=
a
*
o
-
r
*
e
,
t
},
determinant
:
function
(
t
){
var
n
=
t
[
0
],
a
=
t
[
1
],
r
=
t
[
2
],
u
=
t
[
3
],
e
=
t
[
4
],
o
=
t
[
5
],
i
=
t
[
6
],
c
=
t
[
7
],
h
=
t
[
8
];
return
n
*
(
h
*
e
-
o
*
c
)
+
a
*
(
-
h
*
u
+
o
*
i
)
+
r
*
(
c
*
u
-
e
*
i
)},
multiply
:
d
,
translate
:
function
(
t
,
n
,
a
){
var
r
=
n
[
0
],
u
=
n
[
1
],
e
=
n
[
2
],
o
=
n
[
3
],
i
=
n
[
4
],
c
=
n
[
5
],
h
=
n
[
6
],
s
=
n
[
7
],
M
=
n
[
8
],
f
=
a
[
0
],
l
=
a
[
1
];
return
t
[
0
]
=
r
,
t
[
1
]
=
u
,
t
[
2
]
=
e
,
t
[
3
]
=
o
,
t
[
4
]
=
i
,
t
[
5
]
=
c
,
t
[
6
]
=
f
*
r
+
l
*
o
+
h
,
t
[
7
]
=
f
*
u
+
l
*
i
+
s
,
t
[
8
]
=
f
*
e
+
l
*
c
+
M
,
t
},
rotate
:
function
(
t
,
n
,
a
){
var
r
=
n
[
0
],
u
=
n
[
1
],
e
=
n
[
2
],
o
=
n
[
3
],
i
=
n
[
4
],
c
=
n
[
5
],
h
=
n
[
6
],
s
=
n
[
7
],
M
=
n
[
8
],
f
=
Math
.
sin
(
a
),
l
=
Math
.
cos
(
a
);
return
t
[
0
]
=
l
*
r
+
f
*
o
,
t
[
1
]
=
l
*
u
+
f
*
i
,
t
[
2
]
=
l
*
e
+
f
*
c
,
t
[
3
]
=
l
*
o
-
f
*
r
,
t
[
4
]
=
l
*
i
-
f
*
u
,
t
[
5
]
=
l
*
c
-
f
*
e
,
t
[
6
]
=
h
,
t
[
7
]
=
s
,
t
[
8
]
=
M
,
t
},
scale
:
function
(
t
,
n
,
a
){
var
r
=
a
[
0
],
u
=
a
[
1
];
return
t
[
0
]
=
r
*
n
[
0
],
t
[
1
]
=
r
*
n
[
1
],
t
[
2
]
=
r
*
n
[
2
],
t
[
3
]
=
u
*
n
[
3
],
t
[
4
]
=
u
*
n
[
4
],
t
[
5
]
=
u
*
n
[
5
],
t
[
6
]
=
n
[
6
],
t
[
7
]
=
n
[
7
],
t
[
8
]
=
n
[
8
],
t
},
fromTranslation
:
function
(
t
,
n
){
return
t
[
0
]
=
1
,
t
[
1
]
=
0
,
t
[
2
]
=
0
,
t
[
3
]
=
0
,
t
[
4
]
=
1
,
t
[
5
]
=
0
,
t
[
6
]
=
n
[
0
],
t
[
7
]
=
n
[
1
],
t
[
8
]
=
1
,
t
},
fromRotation
:
function
(
t
,
n
){
var
a
=
Math
.
sin
(
n
),
r
=
Math
.
cos
(
n
);
return
t
[
0
]
=
r
,
t
[
1
]
=
a
,
t
[
2
]
=
0
,
t
[
3
]
=-
a
,
t
[
4
]
=
r
,
t
[
5
]
=
0
,
t
[
6
]
=
0
,
t
[
7
]
=
0
,
t
[
8
]
=
1
,
t
},
fromScaling
:
function
(
t
,
n
){
return
t
[
0
]
=
n
[
0
],
t
[
1
]
=
0
,
t
[
2
]
=
0
,
t
[
3
]
=
0
,
t
[
4
]
=
n
[
1
],
t
[
5
]
=
0
,
t
[
6
]
=
0
,
t
[
7
]
=
0
,
t
[
8
]
=
1
,
t
},
fromMat2d
:
function
(
t
,
n
){
return
t
[
0
]
=
n
[
0
],
t
[
1
]
=
n
[
1
],
t
[
2
]
=
0
,
t
[
3
]
=
n
[
2
],
t
[
4
]
=
n
[
3
],
t
[
5
]
=
0
,
t
[
6
]
=
n
[
4
],
t
[
7
]
=
n
[
5
],
t
[
8
]
=
1
,
t
},
fromQuat
:
function
(
t
,
n
){
var
a
=
n
[
0
],
r
=
n
[
1
],
u
=
n
[
2
],
e
=
n
[
3
],
o
=
a
+
a
,
i
=
r
+
r
,
c
=
u
+
u
,
h
=
a
*
o
,
s
=
r
*
o
,
M
=
r
*
i
,
f
=
u
*
o
,
l
=
u
*
i
,
v
=
u
*
c
,
b
=
e
*
o
,
m
=
e
*
i
,
d
=
e
*
c
;
return
t
[
0
]
=
1
-
M
-
v
,
t
[
3
]
=
s
-
d
,
t
[
6
]
=
f
+
m
,
t
[
1
]
=
s
+
d
,
t
[
4
]
=
1
-
h
-
v
,
t
[
7
]
=
l
-
b
,
t
[
2
]
=
f
-
m
,
t
[
5
]
=
l
+
b
,
t
[
8
]
=
1
-
h
-
M
,
t
},
normalFromMat4
:
function
(
t
,
n
){
var
a
=
n
[
0
],
r
=
n
[
1
],
u
=
n
[
2
],
e
=
n
[
3
],
o
=
n
[
4
],
i
=
n
[
5
],
c
=
n
[
6
],
h
=
n
[
7
],
s
=
n
[
8
],
M
=
n
[
9
],
f
=
n
[
10
],
l
=
n
[
11
],
v
=
n
[
12
],
b
=
n
[
13
],
m
=
n
[
14
],
d
=
n
[
15
],
x
=
a
*
i
-
r
*
o
,
p
=
a
*
c
-
u
*
o
,
y
=
a
*
h
-
e
*
o
,
q
=
r
*
c
-
u
*
i
,
g
=
r
*
h
-
e
*
i
,
A
=
u
*
h
-
e
*
c
,
w
=
s
*
b
-
M
*
v
,
R
=
s
*
m
-
f
*
v
,
z
=
s
*
d
-
l
*
v
,
P
=
M
*
m
-
f
*
b
,
j
=
M
*
d
-
l
*
b
,
I
=
f
*
d
-
l
*
m
,
S
=
x
*
I
-
p
*
j
+
y
*
P
+
q
*
z
-
g
*
R
+
A
*
w
;
return
S
?(
S
=
1
/
S
,
t
[
0
]
=
(
i
*
I
-
c
*
j
+
h
*
P
)
*
S
,
t
[
1
]
=
(
c
*
z
-
o
*
I
-
h
*
R
)
*
S
,
t
[
2
]
=
(
o
*
j
-
i
*
z
+
h
*
w
)
*
S
,
t
[
3
]
=
(
u
*
j
-
r
*
I
-
e
*
P
)
*
S
,
t
[
4
]
=
(
a
*
I
-
u
*
z
+
e
*
R
)
*
S
,
t
[
5
]
=
(
r
*
z
-
a
*
j
-
e
*
w
)
*
S
,
t
[
6
]
=
(
b
*
A
-
m
*
g
+
d
*
q
)
*
S
,
t
[
7
]
=
(
m
*
y
-
v
*
A
-
d
*
p
)
*
S
,
t
[
8
]
=
(
v
*
g
-
b
*
y
+
d
*
x
)
*
S
,
t
):
null
},
projection
:
function
(
t
,
n
,
a
){
return
t
[
0
]
=
2
/
n
,
t
[
1
]
=
0
,
t
[
2
]
=
0
,
t
[
3
]
=
0
,
t
[
4
]
=-
2
/
a
,
t
[
5
]
=
0
,
t
[
6
]
=-
1
,
t
[
7
]
=
1
,
t
[
8
]
=
1
,
t
},
str
:
function
(
t
){
return
"
mat3(
"
+
t
[
0
]
+
"
,
"
+
t
[
1
]
+
"
,
"
+
t
[
2
]
+
"
,
"
+
t
[
3
]
+
"
,
"
+
t
[
4
]
+
"
,
"
+
t
[
5
]
+
"
,
"
+
t
[
6
]
+
"
,
"
+
t
[
7
]
+
"
,
"
+
t
[
8
]
+
"
)
"
},
frob
:
function
(
t
){
return
Math
.
hypot
(
t
[
0
],
t
[
1
],
t
[
2
],
t
[
3
],
t
[
4
],
t
[
5
],
t
[
6
],
t
[
7
],
t
[
8
])},
add
:
function
(
t
,
n
,
a
){
return
t
[
0
]
=
n
[
0
]
+
a
[
0
],
t
[
1
]
=
n
[
1
]
+
a
[
1
],
t
[
2
]
=
n
[
2
]
+
a
[
2
],
t
[
3
]
=
n
[
3
]
+
a
[
3
],
t
[
4
]
=
n
[
4
]
+
a
[
4
],
t
[
5
]
=
n
[
5
]
+
a
[
5
],
t
[
6
]
=
n
[
6
]
+
a
[
6
],
t
[
7
]
=
n
[
7
]
+
a
[
7
],
t
[
8
]
=
n
[
8
]
+
a
[
8
],
t
},
subtract
:
x
,
multiplyScalar
:
function
(
t
,
n
,
a
){
return
t
[
0
]
=
n
[
0
]
*
a
,
t
[
1
]
=
n
[
1
]
*
a
,
t
[
2
]
=
n
[
2
]
*
a
,
t
[
3
]
=
n
[
3
]
*
a
,
t
[
4
]
=
n
[
4
]
*
a
,
t
[
5
]
=
n
[
5
]
*
a
,
t
[
6
]
=
n
[
6
]
*
a
,
t
[
7
]
=
n
[
7
]
*
a
,
t
[
8
]
=
n
[
8
]
*
a
,
t
},
multiplyScalarAndAdd
:
function
(
t
,
n
,
a
,
r
){
return
t
[
0
]
=
n
[
0
]
+
a
[
0
]
*
r
,
t
[
1
]
=
n
[
1
]
+
a
[
1
]
*
r
,
t
[
2
]
=
n
[
2
]
+
a
[
2
]
*
r
,
t
[
3
]
=
n
[
3
]
+
a
[
3
]
*
r
,
t
[
4
]
=
n
[
4
]
+
a
[
4
]
*
r
,
t
[
5
]
=
n
[
5
]
+
a
[
5
]
*
r
,
t
[
6
]
=
n
[
6
]
+
a
[
6
]
*
r
,
t
[
7
]
=
n
[
7
]
+
a
[
7
]
*
r
,
t
[
8
]
=
n
[
8
]
+
a
[
8
]
*
r
,
t
},
exactEquals
:
function
(
t
,
n
){
return
t
[
0
]
===
n
[
0
]
&&
t
[
1
]
===
n
[
1
]
&&
t
[
2
]
===
n
[
2
]
&&
t
[
3
]
===
n
[
3
]
&&
t
[
4
]
===
n
[
4
]
&&
t
[
5
]
===
n
[
5
]
&&
t
[
6
]
===
n
[
6
]
&&
t
[
7
]
===
n
[
7
]
&&
t
[
8
]
===
n
[
8
]},
equals
:
function
(
t
,
a
){
var
r
=
t
[
0
],
u
=
t
[
1
],
e
=
t
[
2
],
o
=
t
[
3
],
i
=
t
[
4
],
c
=
t
[
5
],
h
=
t
[
6
],
s
=
t
[
7
],
M
=
t
[
8
],
f
=
a
[
0
],
l
=
a
[
1
],
v
=
a
[
2
],
b
=
a
[
3
],
m
=
a
[
4
],
d
=
a
[
5
],
x
=
a
[
6
],
p
=
a
[
7
],
y
=
a
[
8
];
return
Math
.
abs
(
r
-
f
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
r
),
Math
.
abs
(
f
))
&&
Math
.
abs
(
u
-
l
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
u
),
Math
.
abs
(
l
))
&&
Math
.
abs
(
e
-
v
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
e
),
Math
.
abs
(
v
))
&&
Math
.
abs
(
o
-
b
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
o
),
Math
.
abs
(
b
))
&&
Math
.
abs
(
i
-
m
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
i
),
Math
.
abs
(
m
))
&&
Math
.
abs
(
c
-
d
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
c
),
Math
.
abs
(
d
))
&&
Math
.
abs
(
h
-
x
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
h
),
Math
.
abs
(
x
))
&&
Math
.
abs
(
s
-
p
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
s
),
Math
.
abs
(
p
))
&&
Math
.
abs
(
M
-
y
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
M
),
Math
.
abs
(
y
))},
mul
:
p
,
sub
:
y
});
function
g
(
t
){
return
t
[
0
]
=
1
,
t
[
1
]
=
0
,
t
[
2
]
=
0
,
t
[
3
]
=
0
,
t
[
4
]
=
0
,
t
[
5
]
=
1
,
t
[
6
]
=
0
,
t
[
7
]
=
0
,
t
[
8
]
=
0
,
t
[
9
]
=
0
,
t
[
10
]
=
1
,
t
[
11
]
=
0
,
t
[
12
]
=
0
,
t
[
13
]
=
0
,
t
[
14
]
=
0
,
t
[
15
]
=
1
,
t
}
function
A
(
t
,
n
,
a
){
var
r
=
n
[
0
],
u
=
n
[
1
],
e
=
n
[
2
],
o
=
n
[
3
],
i
=
n
[
4
],
c
=
n
[
5
],
h
=
n
[
6
],
s
=
n
[
7
],
M
=
n
[
8
],
f
=
n
[
9
],
l
=
n
[
10
],
v
=
n
[
11
],
b
=
n
[
12
],
m
=
n
[
13
],
d
=
n
[
14
],
x
=
n
[
15
],
p
=
a
[
0
],
y
=
a
[
1
],
q
=
a
[
2
],
g
=
a
[
3
];
return
t
[
0
]
=
p
*
r
+
y
*
i
+
q
*
M
+
g
*
b
,
t
[
1
]
=
p
*
u
+
y
*
c
+
q
*
f
+
g
*
m
,
t
[
2
]
=
p
*
e
+
y
*
h
+
q
*
l
+
g
*
d
,
t
[
3
]
=
p
*
o
+
y
*
s
+
q
*
v
+
g
*
x
,
p
=
a
[
4
],
y
=
a
[
5
],
q
=
a
[
6
],
g
=
a
[
7
],
t
[
4
]
=
p
*
r
+
y
*
i
+
q
*
M
+
g
*
b
,
t
[
5
]
=
p
*
u
+
y
*
c
+
q
*
f
+
g
*
m
,
t
[
6
]
=
p
*
e
+
y
*
h
+
q
*
l
+
g
*
d
,
t
[
7
]
=
p
*
o
+
y
*
s
+
q
*
v
+
g
*
x
,
p
=
a
[
8
],
y
=
a
[
9
],
q
=
a
[
10
],
g
=
a
[
11
],
t
[
8
]
=
p
*
r
+
y
*
i
+
q
*
M
+
g
*
b
,
t
[
9
]
=
p
*
u
+
y
*
c
+
q
*
f
+
g
*
m
,
t
[
10
]
=
p
*
e
+
y
*
h
+
q
*
l
+
g
*
d
,
t
[
11
]
=
p
*
o
+
y
*
s
+
q
*
v
+
g
*
x
,
p
=
a
[
12
],
y
=
a
[
13
],
q
=
a
[
14
],
g
=
a
[
15
],
t
[
12
]
=
p
*
r
+
y
*
i
+
q
*
M
+
g
*
b
,
t
[
13
]
=
p
*
u
+
y
*
c
+
q
*
f
+
g
*
m
,
t
[
14
]
=
p
*
e
+
y
*
h
+
q
*
l
+
g
*
d
,
t
[
15
]
=
p
*
o
+
y
*
s
+
q
*
v
+
g
*
x
,
t
}
function
w
(
t
,
n
,
a
){
var
r
=
n
[
0
],
u
=
n
[
1
],
e
=
n
[
2
],
o
=
n
[
3
],
i
=
r
+
r
,
c
=
u
+
u
,
h
=
e
+
e
,
s
=
r
*
i
,
M
=
r
*
c
,
f
=
r
*
h
,
l
=
u
*
c
,
v
=
u
*
h
,
b
=
e
*
h
,
m
=
o
*
i
,
d
=
o
*
c
,
x
=
o
*
h
;
return
t
[
0
]
=
1
-
(
l
+
b
),
t
[
1
]
=
M
+
x
,
t
[
2
]
=
f
-
d
,
t
[
3
]
=
0
,
t
[
4
]
=
M
-
x
,
t
[
5
]
=
1
-
(
s
+
b
),
t
[
6
]
=
v
+
m
,
t
[
7
]
=
0
,
t
[
8
]
=
f
+
d
,
t
[
9
]
=
v
-
m
,
t
[
10
]
=
1
-
(
s
+
l
),
t
[
11
]
=
0
,
t
[
12
]
=
a
[
0
],
t
[
13
]
=
a
[
1
],
t
[
14
]
=
a
[
2
],
t
[
15
]
=
1
,
t
}
function
R
(
t
,
n
){
return
t
[
0
]
=
n
[
12
],
t
[
1
]
=
n
[
13
],
t
[
2
]
=
n
[
14
],
t
}
function
z
(
t
,
n
){
var
a
=
n
[
0
],
r
=
n
[
1
],
u
=
n
[
2
],
e
=
n
[
4
],
o
=
n
[
5
],
i
=
n
[
6
],
c
=
n
[
8
],
h
=
n
[
9
],
s
=
n
[
10
];
return
t
[
0
]
=
Math
.
hypot
(
a
,
r
,
u
),
t
[
1
]
=
Math
.
hypot
(
e
,
o
,
i
),
t
[
2
]
=
Math
.
hypot
(
c
,
h
,
s
),
t
}
function
P
(
t
,
n
){
var
r
=
new
a
(
3
);
z
(
r
,
n
);
var
u
=
1
/
r
[
0
],
e
=
1
/
r
[
1
],
o
=
1
/
r
[
2
],
i
=
n
[
0
]
*
u
,
c
=
n
[
1
]
*
e
,
h
=
n
[
2
]
*
o
,
s
=
n
[
4
]
*
u
,
M
=
n
[
5
]
*
e
,
f
=
n
[
6
]
*
o
,
l
=
n
[
8
]
*
u
,
v
=
n
[
9
]
*
e
,
b
=
n
[
10
]
*
o
,
m
=
i
+
M
+
b
,
d
=
0
;
return
m
>
0
?(
d
=
2
*
Math
.
sqrt
(
m
+
1
),
t
[
3
]
=
.
25
*
d
,
t
[
0
]
=
(
f
-
v
)
/
d
,
t
[
1
]
=
(
l
-
h
)
/
d
,
t
[
2
]
=
(
c
-
s
)
/
d
):
i
>
M
&&
i
>
b
?(
d
=
2
*
Math
.
sqrt
(
1
+
i
-
M
-
b
),
t
[
3
]
=
(
f
-
v
)
/
d
,
t
[
0
]
=
.
25
*
d
,
t
[
1
]
=
(
c
+
s
)
/
d
,
t
[
2
]
=
(
l
+
h
)
/
d
):
M
>
b
?(
d
=
2
*
Math
.
sqrt
(
1
+
M
-
i
-
b
),
t
[
3
]
=
(
l
-
h
)
/
d
,
t
[
0
]
=
(
c
+
s
)
/
d
,
t
[
1
]
=
.
25
*
d
,
t
[
2
]
=
(
f
+
v
)
/
d
):(
d
=
2
*
Math
.
sqrt
(
1
+
b
-
i
-
M
),
t
[
3
]
=
(
c
-
s
)
/
d
,
t
[
0
]
=
(
l
+
h
)
/
d
,
t
[
1
]
=
(
f
+
v
)
/
d
,
t
[
2
]
=
.
25
*
d
),
t
}
function
j
(
t
,
n
,
a
){
return
t
[
0
]
=
n
[
0
]
-
a
[
0
],
t
[
1
]
=
n
[
1
]
-
a
[
1
],
t
[
2
]
=
n
[
2
]
-
a
[
2
],
t
[
3
]
=
n
[
3
]
-
a
[
3
],
t
[
4
]
=
n
[
4
]
-
a
[
4
],
t
[
5
]
=
n
[
5
]
-
a
[
5
],
t
[
6
]
=
n
[
6
]
-
a
[
6
],
t
[
7
]
=
n
[
7
]
-
a
[
7
],
t
[
8
]
=
n
[
8
]
-
a
[
8
],
t
[
9
]
=
n
[
9
]
-
a
[
9
],
t
[
10
]
=
n
[
10
]
-
a
[
10
],
t
[
11
]
=
n
[
11
]
-
a
[
11
],
t
[
12
]
=
n
[
12
]
-
a
[
12
],
t
[
13
]
=
n
[
13
]
-
a
[
13
],
t
[
14
]
=
n
[
14
]
-
a
[
14
],
t
[
15
]
=
n
[
15
]
-
a
[
15
],
t
}
var
I
=
A
,
S
=
j
,
E
=
Object
.
freeze
({
create
:
function
(){
var
t
=
new
a
(
16
);
return
a
!=
Float32Array
&&
(
t
[
1
]
=
0
,
t
[
2
]
=
0
,
t
[
3
]
=
0
,
t
[
4
]
=
0
,
t
[
6
]
=
0
,
t
[
7
]
=
0
,
t
[
8
]
=
0
,
t
[
9
]
=
0
,
t
[
11
]
=
0
,
t
[
12
]
=
0
,
t
[
13
]
=
0
,
t
[
14
]
=
0
),
t
[
0
]
=
1
,
t
[
5
]
=
1
,
t
[
10
]
=
1
,
t
[
15
]
=
1
,
t
},
clone
:
function
(
t
){
var
n
=
new
a
(
16
);
return
n
[
0
]
=
t
[
0
],
n
[
1
]
=
t
[
1
],
n
[
2
]
=
t
[
2
],
n
[
3
]
=
t
[
3
],
n
[
4
]
=
t
[
4
],
n
[
5
]
=
t
[
5
],
n
[
6
]
=
t
[
6
],
n
[
7
]
=
t
[
7
],
n
[
8
]
=
t
[
8
],
n
[
9
]
=
t
[
9
],
n
[
10
]
=
t
[
10
],
n
[
11
]
=
t
[
11
],
n
[
12
]
=
t
[
12
],
n
[
13
]
=
t
[
13
],
n
[
14
]
=
t
[
14
],
n
[
15
]
=
t
[
15
],
n
},
copy
:
function
(
t
,
n
){
return
t
[
0
]
=
n
[
0
],
t
[
1
]
=
n
[
1
],
t
[
2
]
=
n
[
2
],
t
[
3
]
=
n
[
3
],
t
[
4
]
=
n
[
4
],
t
[
5
]
=
n
[
5
],
t
[
6
]
=
n
[
6
],
t
[
7
]
=
n
[
7
],
t
[
8
]
=
n
[
8
],
t
[
9
]
=
n
[
9
],
t
[
10
]
=
n
[
10
],
t
[
11
]
=
n
[
11
],
t
[
12
]
=
n
[
12
],
t
[
13
]
=
n
[
13
],
t
[
14
]
=
n
[
14
],
t
[
15
]
=
n
[
15
],
t
},
fromValues
:
function
(
t
,
n
,
r
,
u
,
e
,
o
,
i
,
c
,
h
,
s
,
M
,
f
,
l
,
v
,
b
,
m
){
var
d
=
new
a
(
16
);
return
d
[
0
]
=
t
,
d
[
1
]
=
n
,
d
[
2
]
=
r
,
d
[
3
]
=
u
,
d
[
4
]
=
e
,
d
[
5
]
=
o
,
d
[
6
]
=
i
,
d
[
7
]
=
c
,
d
[
8
]
=
h
,
d
[
9
]
=
s
,
d
[
10
]
=
M
,
d
[
11
]
=
f
,
d
[
12
]
=
l
,
d
[
13
]
=
v
,
d
[
14
]
=
b
,
d
[
15
]
=
m
,
d
},
set
:
function
(
t
,
n
,
a
,
r
,
u
,
e
,
o
,
i
,
c
,
h
,
s
,
M
,
f
,
l
,
v
,
b
,
m
){
return
t
[
0
]
=
n
,
t
[
1
]
=
a
,
t
[
2
]
=
r
,
t
[
3
]
=
u
,
t
[
4
]
=
e
,
t
[
5
]
=
o
,
t
[
6
]
=
i
,
t
[
7
]
=
c
,
t
[
8
]
=
h
,
t
[
9
]
=
s
,
t
[
10
]
=
M
,
t
[
11
]
=
f
,
t
[
12
]
=
l
,
t
[
13
]
=
v
,
t
[
14
]
=
b
,
t
[
15
]
=
m
,
t
},
identity
:
g
,
transpose
:
function
(
t
,
n
){
if
(
t
===
n
){
var
a
=
n
[
1
],
r
=
n
[
2
],
u
=
n
[
3
],
e
=
n
[
6
],
o
=
n
[
7
],
i
=
n
[
11
];
t
[
1
]
=
n
[
4
],
t
[
2
]
=
n
[
8
],
t
[
3
]
=
n
[
12
],
t
[
4
]
=
a
,
t
[
6
]
=
n
[
9
],
t
[
7
]
=
n
[
13
],
t
[
8
]
=
r
,
t
[
9
]
=
e
,
t
[
11
]
=
n
[
14
],
t
[
12
]
=
u
,
t
[
13
]
=
o
,
t
[
14
]
=
i
}
else
t
[
0
]
=
n
[
0
],
t
[
1
]
=
n
[
4
],
t
[
2
]
=
n
[
8
],
t
[
3
]
=
n
[
12
],
t
[
4
]
=
n
[
1
],
t
[
5
]
=
n
[
5
],
t
[
6
]
=
n
[
9
],
t
[
7
]
=
n
[
13
],
t
[
8
]
=
n
[
2
],
t
[
9
]
=
n
[
6
],
t
[
10
]
=
n
[
10
],
t
[
11
]
=
n
[
14
],
t
[
12
]
=
n
[
3
],
t
[
13
]
=
n
[
7
],
t
[
14
]
=
n
[
11
],
t
[
15
]
=
n
[
15
];
return
t
},
invert
:
function
(
t
,
n
){
var
a
=
n
[
0
],
r
=
n
[
1
],
u
=
n
[
2
],
e
=
n
[
3
],
o
=
n
[
4
],
i
=
n
[
5
],
c
=
n
[
6
],
h
=
n
[
7
],
s
=
n
[
8
],
M
=
n
[
9
],
f
=
n
[
10
],
l
=
n
[
11
],
v
=
n
[
12
],
b
=
n
[
13
],
m
=
n
[
14
],
d
=
n
[
15
],
x
=
a
*
i
-
r
*
o
,
p
=
a
*
c
-
u
*
o
,
y
=
a
*
h
-
e
*
o
,
q
=
r
*
c
-
u
*
i
,
g
=
r
*
h
-
e
*
i
,
A
=
u
*
h
-
e
*
c
,
w
=
s
*
b
-
M
*
v
,
R
=
s
*
m
-
f
*
v
,
z
=
s
*
d
-
l
*
v
,
P
=
M
*
m
-
f
*
b
,
j
=
M
*
d
-
l
*
b
,
I
=
f
*
d
-
l
*
m
,
S
=
x
*
I
-
p
*
j
+
y
*
P
+
q
*
z
-
g
*
R
+
A
*
w
;
return
S
?(
S
=
1
/
S
,
t
[
0
]
=
(
i
*
I
-
c
*
j
+
h
*
P
)
*
S
,
t
[
1
]
=
(
u
*
j
-
r
*
I
-
e
*
P
)
*
S
,
t
[
2
]
=
(
b
*
A
-
m
*
g
+
d
*
q
)
*
S
,
t
[
3
]
=
(
f
*
g
-
M
*
A
-
l
*
q
)
*
S
,
t
[
4
]
=
(
c
*
z
-
o
*
I
-
h
*
R
)
*
S
,
t
[
5
]
=
(
a
*
I
-
u
*
z
+
e
*
R
)
*
S
,
t
[
6
]
=
(
m
*
y
-
v
*
A
-
d
*
p
)
*
S
,
t
[
7
]
=
(
s
*
A
-
f
*
y
+
l
*
p
)
*
S
,
t
[
8
]
=
(
o
*
j
-
i
*
z
+
h
*
w
)
*
S
,
t
[
9
]
=
(
r
*
z
-
a
*
j
-
e
*
w
)
*
S
,
t
[
10
]
=
(
v
*
g
-
b
*
y
+
d
*
x
)
*
S
,
t
[
11
]
=
(
M
*
y
-
s
*
g
-
l
*
x
)
*
S
,
t
[
12
]
=
(
i
*
R
-
o
*
P
-
c
*
w
)
*
S
,
t
[
13
]
=
(
a
*
P
-
r
*
R
+
u
*
w
)
*
S
,
t
[
14
]
=
(
b
*
p
-
v
*
q
-
m
*
x
)
*
S
,
t
[
15
]
=
(
s
*
q
-
M
*
p
+
f
*
x
)
*
S
,
t
):
null
},
adjoint
:
function
(
t
,
n
){
var
a
=
n
[
0
],
r
=
n
[
1
],
u
=
n
[
2
],
e
=
n
[
3
],
o
=
n
[
4
],
i
=
n
[
5
],
c
=
n
[
6
],
h
=
n
[
7
],
s
=
n
[
8
],
M
=
n
[
9
],
f
=
n
[
10
],
l
=
n
[
11
],
v
=
n
[
12
],
b
=
n
[
13
],
m
=
n
[
14
],
d
=
n
[
15
];
return
t
[
0
]
=
i
*
(
f
*
d
-
l
*
m
)
-
M
*
(
c
*
d
-
h
*
m
)
+
b
*
(
c
*
l
-
h
*
f
),
t
[
1
]
=-
(
r
*
(
f
*
d
-
l
*
m
)
-
M
*
(
u
*
d
-
e
*
m
)
+
b
*
(
u
*
l
-
e
*
f
)),
t
[
2
]
=
r
*
(
c
*
d
-
h
*
m
)
-
i
*
(
u
*
d
-
e
*
m
)
+
b
*
(
u
*
h
-
e
*
c
),
t
[
3
]
=-
(
r
*
(
c
*
l
-
h
*
f
)
-
i
*
(
u
*
l
-
e
*
f
)
+
M
*
(
u
*
h
-
e
*
c
)),
t
[
4
]
=-
(
o
*
(
f
*
d
-
l
*
m
)
-
s
*
(
c
*
d
-
h
*
m
)
+
v
*
(
c
*
l
-
h
*
f
)),
t
[
5
]
=
a
*
(
f
*
d
-
l
*
m
)
-
s
*
(
u
*
d
-
e
*
m
)
+
v
*
(
u
*
l
-
e
*
f
),
t
[
6
]
=-
(
a
*
(
c
*
d
-
h
*
m
)
-
o
*
(
u
*
d
-
e
*
m
)
+
v
*
(
u
*
h
-
e
*
c
)),
t
[
7
]
=
a
*
(
c
*
l
-
h
*
f
)
-
o
*
(
u
*
l
-
e
*
f
)
+
s
*
(
u
*
h
-
e
*
c
),
t
[
8
]
=
o
*
(
M
*
d
-
l
*
b
)
-
s
*
(
i
*
d
-
h
*
b
)
+
v
*
(
i
*
l
-
h
*
M
),
t
[
9
]
=-
(
a
*
(
M
*
d
-
l
*
b
)
-
s
*
(
r
*
d
-
e
*
b
)
+
v
*
(
r
*
l
-
e
*
M
)),
t
[
10
]
=
a
*
(
i
*
d
-
h
*
b
)
-
o
*
(
r
*
d
-
e
*
b
)
+
v
*
(
r
*
h
-
e
*
i
),
t
[
11
]
=-
(
a
*
(
i
*
l
-
h
*
M
)
-
o
*
(
r
*
l
-
e
*
M
)
+
s
*
(
r
*
h
-
e
*
i
)),
t
[
12
]
=-
(
o
*
(
M
*
m
-
f
*
b
)
-
s
*
(
i
*
m
-
c
*
b
)
+
v
*
(
i
*
f
-
c
*
M
)),
t
[
13
]
=
a
*
(
M
*
m
-
f
*
b
)
-
s
*
(
r
*
m
-
u
*
b
)
+
v
*
(
r
*
f
-
u
*
M
),
t
[
14
]
=-
(
a
*
(
i
*
m
-
c
*
b
)
-
o
*
(
r
*
m
-
u
*
b
)
+
v
*
(
r
*
c
-
u
*
i
)),
t
[
15
]
=
a
*
(
i
*
f
-
c
*
M
)
-
o
*
(
r
*
f
-
u
*
M
)
+
s
*
(
r
*
c
-
u
*
i
),
t
},
determinant
:
function
(
t
){
var
n
=
t
[
0
],
a
=
t
[
1
],
r
=
t
[
2
],
u
=
t
[
3
],
e
=
t
[
4
],
o
=
t
[
5
],
i
=
t
[
6
],
c
=
t
[
7
],
h
=
t
[
8
],
s
=
t
[
9
],
M
=
t
[
10
],
f
=
t
[
11
],
l
=
t
[
12
],
v
=
t
[
13
],
b
=
t
[
14
],
m
=
t
[
15
];
return
(
n
*
o
-
a
*
e
)
*
(
M
*
m
-
f
*
b
)
-
(
n
*
i
-
r
*
e
)
*
(
s
*
m
-
f
*
v
)
+
(
n
*
c
-
u
*
e
)
*
(
s
*
b
-
M
*
v
)
+
(
a
*
i
-
r
*
o
)
*
(
h
*
m
-
f
*
l
)
-
(
a
*
c
-
u
*
o
)
*
(
h
*
b
-
M
*
l
)
+
(
r
*
c
-
u
*
i
)
*
(
h
*
v
-
s
*
l
)},
multiply
:
A
,
translate
:
function
(
t
,
n
,
a
){
var
r
,
u
,
e
,
o
,
i
,
c
,
h
,
s
,
M
,
f
,
l
,
v
,
b
=
a
[
0
],
m
=
a
[
1
],
d
=
a
[
2
];
return
n
===
t
?(
t
[
12
]
=
n
[
0
]
*
b
+
n
[
4
]
*
m
+
n
[
8
]
*
d
+
n
[
12
],
t
[
13
]
=
n
[
1
]
*
b
+
n
[
5
]
*
m
+
n
[
9
]
*
d
+
n
[
13
],
t
[
14
]
=
n
[
2
]
*
b
+
n
[
6
]
*
m
+
n
[
10
]
*
d
+
n
[
14
],
t
[
15
]
=
n
[
3
]
*
b
+
n
[
7
]
*
m
+
n
[
11
]
*
d
+
n
[
15
]):(
r
=
n
[
0
],
u
=
n
[
1
],
e
=
n
[
2
],
o
=
n
[
3
],
i
=
n
[
4
],
c
=
n
[
5
],
h
=
n
[
6
],
s
=
n
[
7
],
M
=
n
[
8
],
f
=
n
[
9
],
l
=
n
[
10
],
v
=
n
[
11
],
t
[
0
]
=
r
,
t
[
1
]
=
u
,
t
[
2
]
=
e
,
t
[
3
]
=
o
,
t
[
4
]
=
i
,
t
[
5
]
=
c
,
t
[
6
]
=
h
,
t
[
7
]
=
s
,
t
[
8
]
=
M
,
t
[
9
]
=
f
,
t
[
10
]
=
l
,
t
[
11
]
=
v
,
t
[
12
]
=
r
*
b
+
i
*
m
+
M
*
d
+
n
[
12
],
t
[
13
]
=
u
*
b
+
c
*
m
+
f
*
d
+
n
[
13
],
t
[
14
]
=
e
*
b
+
h
*
m
+
l
*
d
+
n
[
14
],
t
[
15
]
=
o
*
b
+
s
*
m
+
v
*
d
+
n
[
15
]),
t
},
scale
:
function
(
t
,
n
,
a
){
var
r
=
a
[
0
],
u
=
a
[
1
],
e
=
a
[
2
];
return
t
[
0
]
=
n
[
0
]
*
r
,
t
[
1
]
=
n
[
1
]
*
r
,
t
[
2
]
=
n
[
2
]
*
r
,
t
[
3
]
=
n
[
3
]
*
r
,
t
[
4
]
=
n
[
4
]
*
u
,
t
[
5
]
=
n
[
5
]
*
u
,
t
[
6
]
=
n
[
6
]
*
u
,
t
[
7
]
=
n
[
7
]
*
u
,
t
[
8
]
=
n
[
8
]
*
e
,
t
[
9
]
=
n
[
9
]
*
e
,
t
[
10
]
=
n
[
10
]
*
e
,
t
[
11
]
=
n
[
11
]
*
e
,
t
[
12
]
=
n
[
12
],
t
[
13
]
=
n
[
13
],
t
[
14
]
=
n
[
14
],
t
[
15
]
=
n
[
15
],
t
},
rotate
:
function
(
t
,
a
,
r
,
u
){
var
e
,
o
,
i
,
c
,
h
,
s
,
M
,
f
,
l
,
v
,
b
,
m
,
d
,
x
,
p
,
y
,
q
,
g
,
A
,
w
,
R
,
z
,
P
,
j
,
I
=
u
[
0
],
S
=
u
[
1
],
E
=
u
[
2
],
O
=
Math
.
hypot
(
I
,
S
,
E
);
return
O
<
n
?
null
:(
I
*=
O
=
1
/
O
,
S
*=
O
,
E
*=
O
,
e
=
Math
.
sin
(
r
),
i
=
1
-
(
o
=
Math
.
cos
(
r
)),
c
=
a
[
0
],
h
=
a
[
1
],
s
=
a
[
2
],
M
=
a
[
3
],
f
=
a
[
4
],
l
=
a
[
5
],
v
=
a
[
6
],
b
=
a
[
7
],
m
=
a
[
8
],
d
=
a
[
9
],
x
=
a
[
10
],
p
=
a
[
11
],
y
=
I
*
I
*
i
+
o
,
q
=
S
*
I
*
i
+
E
*
e
,
g
=
E
*
I
*
i
-
S
*
e
,
A
=
I
*
S
*
i
-
E
*
e
,
w
=
S
*
S
*
i
+
o
,
R
=
E
*
S
*
i
+
I
*
e
,
z
=
I
*
E
*
i
+
S
*
e
,
P
=
S
*
E
*
i
-
I
*
e
,
j
=
E
*
E
*
i
+
o
,
t
[
0
]
=
c
*
y
+
f
*
q
+
m
*
g
,
t
[
1
]
=
h
*
y
+
l
*
q
+
d
*
g
,
t
[
2
]
=
s
*
y
+
v
*
q
+
x
*
g
,
t
[
3
]
=
M
*
y
+
b
*
q
+
p
*
g
,
t
[
4
]
=
c
*
A
+
f
*
w
+
m
*
R
,
t
[
5
]
=
h
*
A
+
l
*
w
+
d
*
R
,
t
[
6
]
=
s
*
A
+
v
*
w
+
x
*
R
,
t
[
7
]
=
M
*
A
+
b
*
w
+
p
*
R
,
t
[
8
]
=
c
*
z
+
f
*
P
+
m
*
j
,
t
[
9
]
=
h
*
z
+
l
*
P
+
d
*
j
,
t
[
10
]
=
s
*
z
+
v
*
P
+
x
*
j
,
t
[
11
]
=
M
*
z
+
b
*
P
+
p
*
j
,
a
!==
t
&&
(
t
[
12
]
=
a
[
12
],
t
[
13
]
=
a
[
13
],
t
[
14
]
=
a
[
14
],
t
[
15
]
=
a
[
15
]),
t
)},
rotateX
:
function
(
t
,
n
,
a
){
var
r
=
Math
.
sin
(
a
),
u
=
Math
.
cos
(
a
),
e
=
n
[
4
],
o
=
n
[
5
],
i
=
n
[
6
],
c
=
n
[
7
],
h
=
n
[
8
],
s
=
n
[
9
],
M
=
n
[
10
],
f
=
n
[
11
];
return
n
!==
t
&&
(
t
[
0
]
=
n
[
0
],
t
[
1
]
=
n
[
1
],
t
[
2
]
=
n
[
2
],
t
[
3
]
=
n
[
3
],
t
[
12
]
=
n
[
12
],
t
[
13
]
=
n
[
13
],
t
[
14
]
=
n
[
14
],
t
[
15
]
=
n
[
15
]),
t
[
4
]
=
e
*
u
+
h
*
r
,
t
[
5
]
=
o
*
u
+
s
*
r
,
t
[
6
]
=
i
*
u
+
M
*
r
,
t
[
7
]
=
c
*
u
+
f
*
r
,
t
[
8
]
=
h
*
u
-
e
*
r
,
t
[
9
]
=
s
*
u
-
o
*
r
,
t
[
10
]
=
M
*
u
-
i
*
r
,
t
[
11
]
=
f
*
u
-
c
*
r
,
t
},
rotateY
:
function
(
t
,
n
,
a
){
var
r
=
Math
.
sin
(
a
),
u
=
Math
.
cos
(
a
),
e
=
n
[
0
],
o
=
n
[
1
],
i
=
n
[
2
],
c
=
n
[
3
],
h
=
n
[
8
],
s
=
n
[
9
],
M
=
n
[
10
],
f
=
n
[
11
];
return
n
!==
t
&&
(
t
[
4
]
=
n
[
4
],
t
[
5
]
=
n
[
5
],
t
[
6
]
=
n
[
6
],
t
[
7
]
=
n
[
7
],
t
[
12
]
=
n
[
12
],
t
[
13
]
=
n
[
13
],
t
[
14
]
=
n
[
14
],
t
[
15
]
=
n
[
15
]),
t
[
0
]
=
e
*
u
-
h
*
r
,
t
[
1
]
=
o
*
u
-
s
*
r
,
t
[
2
]
=
i
*
u
-
M
*
r
,
t
[
3
]
=
c
*
u
-
f
*
r
,
t
[
8
]
=
e
*
r
+
h
*
u
,
t
[
9
]
=
o
*
r
+
s
*
u
,
t
[
10
]
=
i
*
r
+
M
*
u
,
t
[
11
]
=
c
*
r
+
f
*
u
,
t
},
rotateZ
:
function
(
t
,
n
,
a
){
var
r
=
Math
.
sin
(
a
),
u
=
Math
.
cos
(
a
),
e
=
n
[
0
],
o
=
n
[
1
],
i
=
n
[
2
],
c
=
n
[
3
],
h
=
n
[
4
],
s
=
n
[
5
],
M
=
n
[
6
],
f
=
n
[
7
];
return
n
!==
t
&&
(
t
[
8
]
=
n
[
8
],
t
[
9
]
=
n
[
9
],
t
[
10
]
=
n
[
10
],
t
[
11
]
=
n
[
11
],
t
[
12
]
=
n
[
12
],
t
[
13
]
=
n
[
13
],
t
[
14
]
=
n
[
14
],
t
[
15
]
=
n
[
15
]),
t
[
0
]
=
e
*
u
+
h
*
r
,
t
[
1
]
=
o
*
u
+
s
*
r
,
t
[
2
]
=
i
*
u
+
M
*
r
,
t
[
3
]
=
c
*
u
+
f
*
r
,
t
[
4
]
=
h
*
u
-
e
*
r
,
t
[
5
]
=
s
*
u
-
o
*
r
,
t
[
6
]
=
M
*
u
-
i
*
r
,
t
[
7
]
=
f
*
u
-
c
*
r
,
t
},
fromTranslation
:
function
(
t
,
n
){
return
t
[
0
]
=
1
,
t
[
1
]
=
0
,
t
[
2
]
=
0
,
t
[
3
]
=
0
,
t
[
4
]
=
0
,
t
[
5
]
=
1
,
t
[
6
]
=
0
,
t
[
7
]
=
0
,
t
[
8
]
=
0
,
t
[
9
]
=
0
,
t
[
10
]
=
1
,
t
[
11
]
=
0
,
t
[
12
]
=
n
[
0
],
t
[
13
]
=
n
[
1
],
t
[
14
]
=
n
[
2
],
t
[
15
]
=
1
,
t
},
fromScaling
:
function
(
t
,
n
){
return
t
[
0
]
=
n
[
0
],
t
[
1
]
=
0
,
t
[
2
]
=
0
,
t
[
3
]
=
0
,
t
[
4
]
=
0
,
t
[
5
]
=
n
[
1
],
t
[
6
]
=
0
,
t
[
7
]
=
0
,
t
[
8
]
=
0
,
t
[
9
]
=
0
,
t
[
10
]
=
n
[
2
],
t
[
11
]
=
0
,
t
[
12
]
=
0
,
t
[
13
]
=
0
,
t
[
14
]
=
0
,
t
[
15
]
=
1
,
t
},
fromRotation
:
function
(
t
,
a
,
r
){
var
u
,
e
,
o
,
i
=
r
[
0
],
c
=
r
[
1
],
h
=
r
[
2
],
s
=
Math
.
hypot
(
i
,
c
,
h
);
return
s
<
n
?
null
:(
i
*=
s
=
1
/
s
,
c
*=
s
,
h
*=
s
,
u
=
Math
.
sin
(
a
),
o
=
1
-
(
e
=
Math
.
cos
(
a
)),
t
[
0
]
=
i
*
i
*
o
+
e
,
t
[
1
]
=
c
*
i
*
o
+
h
*
u
,
t
[
2
]
=
h
*
i
*
o
-
c
*
u
,
t
[
3
]
=
0
,
t
[
4
]
=
i
*
c
*
o
-
h
*
u
,
t
[
5
]
=
c
*
c
*
o
+
e
,
t
[
6
]
=
h
*
c
*
o
+
i
*
u
,
t
[
7
]
=
0
,
t
[
8
]
=
i
*
h
*
o
+
c
*
u
,
t
[
9
]
=
c
*
h
*
o
-
i
*
u
,
t
[
10
]
=
h
*
h
*
o
+
e
,
t
[
11
]
=
0
,
t
[
12
]
=
0
,
t
[
13
]
=
0
,
t
[
14
]
=
0
,
t
[
15
]
=
1
,
t
)},
fromXRotation
:
function
(
t
,
n
){
var
a
=
Math
.
sin
(
n
),
r
=
Math
.
cos
(
n
);
return
t
[
0
]
=
1
,
t
[
1
]
=
0
,
t
[
2
]
=
0
,
t
[
3
]
=
0
,
t
[
4
]
=
0
,
t
[
5
]
=
r
,
t
[
6
]
=
a
,
t
[
7
]
=
0
,
t
[
8
]
=
0
,
t
[
9
]
=-
a
,
t
[
10
]
=
r
,
t
[
11
]
=
0
,
t
[
12
]
=
0
,
t
[
13
]
=
0
,
t
[
14
]
=
0
,
t
[
15
]
=
1
,
t
},
fromYRotation
:
function
(
t
,
n
){
var
a
=
Math
.
sin
(
n
),
r
=
Math
.
cos
(
n
);
return
t
[
0
]
=
r
,
t
[
1
]
=
0
,
t
[
2
]
=-
a
,
t
[
3
]
=
0
,
t
[
4
]
=
0
,
t
[
5
]
=
1
,
t
[
6
]
=
0
,
t
[
7
]
=
0
,
t
[
8
]
=
a
,
t
[
9
]
=
0
,
t
[
10
]
=
r
,
t
[
11
]
=
0
,
t
[
12
]
=
0
,
t
[
13
]
=
0
,
t
[
14
]
=
0
,
t
[
15
]
=
1
,
t
},
fromZRotation
:
function
(
t
,
n
){
var
a
=
Math
.
sin
(
n
),
r
=
Math
.
cos
(
n
);
return
t
[
0
]
=
r
,
t
[
1
]
=
a
,
t
[
2
]
=
0
,
t
[
3
]
=
0
,
t
[
4
]
=-
a
,
t
[
5
]
=
r
,
t
[
6
]
=
0
,
t
[
7
]
=
0
,
t
[
8
]
=
0
,
t
[
9
]
=
0
,
t
[
10
]
=
1
,
t
[
11
]
=
0
,
t
[
12
]
=
0
,
t
[
13
]
=
0
,
t
[
14
]
=
0
,
t
[
15
]
=
1
,
t
},
fromRotationTranslation
:
w
,
fromQuat2
:
function
(
t
,
n
){
var
r
=
new
a
(
3
),
u
=-
n
[
0
],
e
=-
n
[
1
],
o
=-
n
[
2
],
i
=
n
[
3
],
c
=
n
[
4
],
h
=
n
[
5
],
s
=
n
[
6
],
M
=
n
[
7
],
f
=
u
*
u
+
e
*
e
+
o
*
o
+
i
*
i
;
return
f
>
0
?(
r
[
0
]
=
2
*
(
c
*
i
+
M
*
u
+
h
*
o
-
s
*
e
)
/
f
,
r
[
1
]
=
2
*
(
h
*
i
+
M
*
e
+
s
*
u
-
c
*
o
)
/
f
,
r
[
2
]
=
2
*
(
s
*
i
+
M
*
o
+
c
*
e
-
h
*
u
)
/
f
):(
r
[
0
]
=
2
*
(
c
*
i
+
M
*
u
+
h
*
o
-
s
*
e
),
r
[
1
]
=
2
*
(
h
*
i
+
M
*
e
+
s
*
u
-
c
*
o
),
r
[
2
]
=
2
*
(
s
*
i
+
M
*
o
+
c
*
e
-
h
*
u
)),
w
(
t
,
n
,
r
),
t
},
getTranslation
:
R
,
getScaling
:
z
,
getRotation
:
P
,
fromRotationTranslationScale
:
function
(
t
,
n
,
a
,
r
){
var
u
=
n
[
0
],
e
=
n
[
1
],
o
=
n
[
2
],
i
=
n
[
3
],
c
=
u
+
u
,
h
=
e
+
e
,
s
=
o
+
o
,
M
=
u
*
c
,
f
=
u
*
h
,
l
=
u
*
s
,
v
=
e
*
h
,
b
=
e
*
s
,
m
=
o
*
s
,
d
=
i
*
c
,
x
=
i
*
h
,
p
=
i
*
s
,
y
=
r
[
0
],
q
=
r
[
1
],
g
=
r
[
2
];
return
t
[
0
]
=
(
1
-
(
v
+
m
))
*
y
,
t
[
1
]
=
(
f
+
p
)
*
y
,
t
[
2
]
=
(
l
-
x
)
*
y
,
t
[
3
]
=
0
,
t
[
4
]
=
(
f
-
p
)
*
q
,
t
[
5
]
=
(
1
-
(
M
+
m
))
*
q
,
t
[
6
]
=
(
b
+
d
)
*
q
,
t
[
7
]
=
0
,
t
[
8
]
=
(
l
+
x
)
*
g
,
t
[
9
]
=
(
b
-
d
)
*
g
,
t
[
10
]
=
(
1
-
(
M
+
v
))
*
g
,
t
[
11
]
=
0
,
t
[
12
]
=
a
[
0
],
t
[
13
]
=
a
[
1
],
t
[
14
]
=
a
[
2
],
t
[
15
]
=
1
,
t
},
fromRotationTranslationScaleOrigin
:
function
(
t
,
n
,
a
,
r
,
u
){
var
e
=
n
[
0
],
o
=
n
[
1
],
i
=
n
[
2
],
c
=
n
[
3
],
h
=
e
+
e
,
s
=
o
+
o
,
M
=
i
+
i
,
f
=
e
*
h
,
l
=
e
*
s
,
v
=
e
*
M
,
b
=
o
*
s
,
m
=
o
*
M
,
d
=
i
*
M
,
x
=
c
*
h
,
p
=
c
*
s
,
y
=
c
*
M
,
q
=
r
[
0
],
g
=
r
[
1
],
A
=
r
[
2
],
w
=
u
[
0
],
R
=
u
[
1
],
z
=
u
[
2
],
P
=
(
1
-
(
b
+
d
))
*
q
,
j
=
(
l
+
y
)
*
q
,
I
=
(
v
-
p
)
*
q
,
S
=
(
l
-
y
)
*
g
,
E
=
(
1
-
(
f
+
d
))
*
g
,
O
=
(
m
+
x
)
*
g
,
T
=
(
v
+
p
)
*
A
,
D
=
(
m
-
x
)
*
A
,
F
=
(
1
-
(
f
+
b
))
*
A
;
return
t
[
0
]
=
P
,
t
[
1
]
=
j
,
t
[
2
]
=
I
,
t
[
3
]
=
0
,
t
[
4
]
=
S
,
t
[
5
]
=
E
,
t
[
6
]
=
O
,
t
[
7
]
=
0
,
t
[
8
]
=
T
,
t
[
9
]
=
D
,
t
[
10
]
=
F
,
t
[
11
]
=
0
,
t
[
12
]
=
a
[
0
]
+
w
-
(
P
*
w
+
S
*
R
+
T
*
z
),
t
[
13
]
=
a
[
1
]
+
R
-
(
j
*
w
+
E
*
R
+
D
*
z
),
t
[
14
]
=
a
[
2
]
+
z
-
(
I
*
w
+
O
*
R
+
F
*
z
),
t
[
15
]
=
1
,
t
},
fromQuat
:
function
(
t
,
n
){
var
a
=
n
[
0
],
r
=
n
[
1
],
u
=
n
[
2
],
e
=
n
[
3
],
o
=
a
+
a
,
i
=
r
+
r
,
c
=
u
+
u
,
h
=
a
*
o
,
s
=
r
*
o
,
M
=
r
*
i
,
f
=
u
*
o
,
l
=
u
*
i
,
v
=
u
*
c
,
b
=
e
*
o
,
m
=
e
*
i
,
d
=
e
*
c
;
return
t
[
0
]
=
1
-
M
-
v
,
t
[
1
]
=
s
+
d
,
t
[
2
]
=
f
-
m
,
t
[
3
]
=
0
,
t
[
4
]
=
s
-
d
,
t
[
5
]
=
1
-
h
-
v
,
t
[
6
]
=
l
+
b
,
t
[
7
]
=
0
,
t
[
8
]
=
f
+
m
,
t
[
9
]
=
l
-
b
,
t
[
10
]
=
1
-
h
-
M
,
t
[
11
]
=
0
,
t
[
12
]
=
0
,
t
[
13
]
=
0
,
t
[
14
]
=
0
,
t
[
15
]
=
1
,
t
},
frustum
:
function
(
t
,
n
,
a
,
r
,
u
,
e
,
o
){
var
i
=
1
/
(
a
-
n
),
c
=
1
/
(
u
-
r
),
h
=
1
/
(
e
-
o
);
return
t
[
0
]
=
2
*
e
*
i
,
t
[
1
]
=
0
,
t
[
2
]
=
0
,
t
[
3
]
=
0
,
t
[
4
]
=
0
,
t
[
5
]
=
2
*
e
*
c
,
t
[
6
]
=
0
,
t
[
7
]
=
0
,
t
[
8
]
=
(
a
+
n
)
*
i
,
t
[
9
]
=
(
u
+
r
)
*
c
,
t
[
10
]
=
(
o
+
e
)
*
h
,
t
[
11
]
=-
1
,
t
[
12
]
=
0
,
t
[
13
]
=
0
,
t
[
14
]
=
o
*
e
*
2
*
h
,
t
[
15
]
=
0
,
t
},
perspective
:
function
(
t
,
n
,
a
,
r
,
u
){
var
e
,
o
=
1
/
Math
.
tan
(
n
/
2
);
return
t
[
0
]
=
o
/
a
,
t
[
1
]
=
0
,
t
[
2
]
=
0
,
t
[
3
]
=
0
,
t
[
4
]
=
0
,
t
[
5
]
=
o
,
t
[
6
]
=
0
,
t
[
7
]
=
0
,
t
[
8
]
=
0
,
t
[
9
]
=
0
,
t
[
11
]
=-
1
,
t
[
12
]
=
0
,
t
[
13
]
=
0
,
t
[
15
]
=
0
,
null
!=
u
&&
u
!==
1
/
0
?(
e
=
1
/
(
r
-
u
),
t
[
10
]
=
(
u
+
r
)
*
e
,
t
[
14
]
=
2
*
u
*
r
*
e
):(
t
[
10
]
=-
1
,
t
[
14
]
=-
2
*
r
),
t
},
perspectiveFromFieldOfView
:
function
(
t
,
n
,
a
,
r
){
var
u
=
Math
.
tan
(
n
.
upDegrees
*
Math
.
PI
/
180
),
e
=
Math
.
tan
(
n
.
downDegrees
*
Math
.
PI
/
180
),
o
=
Math
.
tan
(
n
.
leftDegrees
*
Math
.
PI
/
180
),
i
=
Math
.
tan
(
n
.
rightDegrees
*
Math
.
PI
/
180
),
c
=
2
/
(
o
+
i
),
h
=
2
/
(
u
+
e
);
return
t
[
0
]
=
c
,
t
[
1
]
=
0
,
t
[
2
]
=
0
,
t
[
3
]
=
0
,
t
[
4
]
=
0
,
t
[
5
]
=
h
,
t
[
6
]
=
0
,
t
[
7
]
=
0
,
t
[
8
]
=-
(
o
-
i
)
*
c
*
.
5
,
t
[
9
]
=
(
u
-
e
)
*
h
*
.
5
,
t
[
10
]
=
r
/
(
a
-
r
),
t
[
11
]
=-
1
,
t
[
12
]
=
0
,
t
[
13
]
=
0
,
t
[
14
]
=
r
*
a
/
(
a
-
r
),
t
[
15
]
=
0
,
t
},
ortho
:
function
(
t
,
n
,
a
,
r
,
u
,
e
,
o
){
var
i
=
1
/
(
n
-
a
),
c
=
1
/
(
r
-
u
),
h
=
1
/
(
e
-
o
);
return
t
[
0
]
=-
2
*
i
,
t
[
1
]
=
0
,
t
[
2
]
=
0
,
t
[
3
]
=
0
,
t
[
4
]
=
0
,
t
[
5
]
=-
2
*
c
,
t
[
6
]
=
0
,
t
[
7
]
=
0
,
t
[
8
]
=
0
,
t
[
9
]
=
0
,
t
[
10
]
=
2
*
h
,
t
[
11
]
=
0
,
t
[
12
]
=
(
n
+
a
)
*
i
,
t
[
13
]
=
(
u
+
r
)
*
c
,
t
[
14
]
=
(
o
+
e
)
*
h
,
t
[
15
]
=
1
,
t
},
lookAt
:
function
(
t
,
a
,
r
,
u
){
var
e
,
o
,
i
,
c
,
h
,
s
,
M
,
f
,
l
,
v
,
b
=
a
[
0
],
m
=
a
[
1
],
d
=
a
[
2
],
x
=
u
[
0
],
p
=
u
[
1
],
y
=
u
[
2
],
q
=
r
[
0
],
A
=
r
[
1
],
w
=
r
[
2
];
return
Math
.
abs
(
b
-
q
)
<
n
&&
Math
.
abs
(
m
-
A
)
<
n
&&
Math
.
abs
(
d
-
w
)
<
n
?
g
(
t
):(
M
=
b
-
q
,
f
=
m
-
A
,
l
=
d
-
w
,
e
=
p
*
(
l
*=
v
=
1
/
Math
.
hypot
(
M
,
f
,
l
))
-
y
*
(
f
*=
v
),
o
=
y
*
(
M
*=
v
)
-
x
*
l
,
i
=
x
*
f
-
p
*
M
,(
v
=
Math
.
hypot
(
e
,
o
,
i
))?(
e
*=
v
=
1
/
v
,
o
*=
v
,
i
*=
v
):(
e
=
0
,
o
=
0
,
i
=
0
),
c
=
f
*
i
-
l
*
o
,
h
=
l
*
e
-
M
*
i
,
s
=
M
*
o
-
f
*
e
,(
v
=
Math
.
hypot
(
c
,
h
,
s
))?(
c
*=
v
=
1
/
v
,
h
*=
v
,
s
*=
v
):(
c
=
0
,
h
=
0
,
s
=
0
),
t
[
0
]
=
e
,
t
[
1
]
=
c
,
t
[
2
]
=
M
,
t
[
3
]
=
0
,
t
[
4
]
=
o
,
t
[
5
]
=
h
,
t
[
6
]
=
f
,
t
[
7
]
=
0
,
t
[
8
]
=
i
,
t
[
9
]
=
s
,
t
[
10
]
=
l
,
t
[
11
]
=
0
,
t
[
12
]
=-
(
e
*
b
+
o
*
m
+
i
*
d
),
t
[
13
]
=-
(
c
*
b
+
h
*
m
+
s
*
d
),
t
[
14
]
=-
(
M
*
b
+
f
*
m
+
l
*
d
),
t
[
15
]
=
1
,
t
)},
targetTo
:
function
(
t
,
n
,
a
,
r
){
var
u
=
n
[
0
],
e
=
n
[
1
],
o
=
n
[
2
],
i
=
r
[
0
],
c
=
r
[
1
],
h
=
r
[
2
],
s
=
u
-
a
[
0
],
M
=
e
-
a
[
1
],
f
=
o
-
a
[
2
],
l
=
s
*
s
+
M
*
M
+
f
*
f
;
l
>
0
&&
(
s
*=
l
=
1
/
Math
.
sqrt
(
l
),
M
*=
l
,
f
*=
l
);
var
v
=
c
*
f
-
h
*
M
,
b
=
h
*
s
-
i
*
f
,
m
=
i
*
M
-
c
*
s
;
return
(
l
=
v
*
v
+
b
*
b
+
m
*
m
)
>
0
&&
(
v
*=
l
=
1
/
Math
.
sqrt
(
l
),
b
*=
l
,
m
*=
l
),
t
[
0
]
=
v
,
t
[
1
]
=
b
,
t
[
2
]
=
m
,
t
[
3
]
=
0
,
t
[
4
]
=
M
*
m
-
f
*
b
,
t
[
5
]
=
f
*
v
-
s
*
m
,
t
[
6
]
=
s
*
b
-
M
*
v
,
t
[
7
]
=
0
,
t
[
8
]
=
s
,
t
[
9
]
=
M
,
t
[
10
]
=
f
,
t
[
11
]
=
0
,
t
[
12
]
=
u
,
t
[
13
]
=
e
,
t
[
14
]
=
o
,
t
[
15
]
=
1
,
t
},
str
:
function
(
t
){
return
"
mat4(
"
+
t
[
0
]
+
"
,
"
+
t
[
1
]
+
"
,
"
+
t
[
2
]
+
"
,
"
+
t
[
3
]
+
"
,
"
+
t
[
4
]
+
"
,
"
+
t
[
5
]
+
"
,
"
+
t
[
6
]
+
"
,
"
+
t
[
7
]
+
"
,
"
+
t
[
8
]
+
"
,
"
+
t
[
9
]
+
"
,
"
+
t
[
10
]
+
"
,
"
+
t
[
11
]
+
"
,
"
+
t
[
12
]
+
"
,
"
+
t
[
13
]
+
"
,
"
+
t
[
14
]
+
"
,
"
+
t
[
15
]
+
"
)
"
},
frob
:
function
(
t
){
return
Math
.
hypot
(
t
[
0
],
t
[
1
],
t
[
3
],
t
[
4
],
t
[
5
],
t
[
6
],
t
[
7
],
t
[
8
],
t
[
9
],
t
[
10
],
t
[
11
],
t
[
12
],
t
[
13
],
t
[
14
],
t
[
15
])},
add
:
function
(
t
,
n
,
a
){
return
t
[
0
]
=
n
[
0
]
+
a
[
0
],
t
[
1
]
=
n
[
1
]
+
a
[
1
],
t
[
2
]
=
n
[
2
]
+
a
[
2
],
t
[
3
]
=
n
[
3
]
+
a
[
3
],
t
[
4
]
=
n
[
4
]
+
a
[
4
],
t
[
5
]
=
n
[
5
]
+
a
[
5
],
t
[
6
]
=
n
[
6
]
+
a
[
6
],
t
[
7
]
=
n
[
7
]
+
a
[
7
],
t
[
8
]
=
n
[
8
]
+
a
[
8
],
t
[
9
]
=
n
[
9
]
+
a
[
9
],
t
[
10
]
=
n
[
10
]
+
a
[
10
],
t
[
11
]
=
n
[
11
]
+
a
[
11
],
t
[
12
]
=
n
[
12
]
+
a
[
12
],
t
[
13
]
=
n
[
13
]
+
a
[
13
],
t
[
14
]
=
n
[
14
]
+
a
[
14
],
t
[
15
]
=
n
[
15
]
+
a
[
15
],
t
},
subtract
:
j
,
multiplyScalar
:
function
(
t
,
n
,
a
){
return
t
[
0
]
=
n
[
0
]
*
a
,
t
[
1
]
=
n
[
1
]
*
a
,
t
[
2
]
=
n
[
2
]
*
a
,
t
[
3
]
=
n
[
3
]
*
a
,
t
[
4
]
=
n
[
4
]
*
a
,
t
[
5
]
=
n
[
5
]
*
a
,
t
[
6
]
=
n
[
6
]
*
a
,
t
[
7
]
=
n
[
7
]
*
a
,
t
[
8
]
=
n
[
8
]
*
a
,
t
[
9
]
=
n
[
9
]
*
a
,
t
[
10
]
=
n
[
10
]
*
a
,
t
[
11
]
=
n
[
11
]
*
a
,
t
[
12
]
=
n
[
12
]
*
a
,
t
[
13
]
=
n
[
13
]
*
a
,
t
[
14
]
=
n
[
14
]
*
a
,
t
[
15
]
=
n
[
15
]
*
a
,
t
},
multiplyScalarAndAdd
:
function
(
t
,
n
,
a
,
r
){
return
t
[
0
]
=
n
[
0
]
+
a
[
0
]
*
r
,
t
[
1
]
=
n
[
1
]
+
a
[
1
]
*
r
,
t
[
2
]
=
n
[
2
]
+
a
[
2
]
*
r
,
t
[
3
]
=
n
[
3
]
+
a
[
3
]
*
r
,
t
[
4
]
=
n
[
4
]
+
a
[
4
]
*
r
,
t
[
5
]
=
n
[
5
]
+
a
[
5
]
*
r
,
t
[
6
]
=
n
[
6
]
+
a
[
6
]
*
r
,
t
[
7
]
=
n
[
7
]
+
a
[
7
]
*
r
,
t
[
8
]
=
n
[
8
]
+
a
[
8
]
*
r
,
t
[
9
]
=
n
[
9
]
+
a
[
9
]
*
r
,
t
[
10
]
=
n
[
10
]
+
a
[
10
]
*
r
,
t
[
11
]
=
n
[
11
]
+
a
[
11
]
*
r
,
t
[
12
]
=
n
[
12
]
+
a
[
12
]
*
r
,
t
[
13
]
=
n
[
13
]
+
a
[
13
]
*
r
,
t
[
14
]
=
n
[
14
]
+
a
[
14
]
*
r
,
t
[
15
]
=
n
[
15
]
+
a
[
15
]
*
r
,
t
},
exactEquals
:
function
(
t
,
n
){
return
t
[
0
]
===
n
[
0
]
&&
t
[
1
]
===
n
[
1
]
&&
t
[
2
]
===
n
[
2
]
&&
t
[
3
]
===
n
[
3
]
&&
t
[
4
]
===
n
[
4
]
&&
t
[
5
]
===
n
[
5
]
&&
t
[
6
]
===
n
[
6
]
&&
t
[
7
]
===
n
[
7
]
&&
t
[
8
]
===
n
[
8
]
&&
t
[
9
]
===
n
[
9
]
&&
t
[
10
]
===
n
[
10
]
&&
t
[
11
]
===
n
[
11
]
&&
t
[
12
]
===
n
[
12
]
&&
t
[
13
]
===
n
[
13
]
&&
t
[
14
]
===
n
[
14
]
&&
t
[
15
]
===
n
[
15
]},
equals
:
function
(
t
,
a
){
var
r
=
t
[
0
],
u
=
t
[
1
],
e
=
t
[
2
],
o
=
t
[
3
],
i
=
t
[
4
],
c
=
t
[
5
],
h
=
t
[
6
],
s
=
t
[
7
],
M
=
t
[
8
],
f
=
t
[
9
],
l
=
t
[
10
],
v
=
t
[
11
],
b
=
t
[
12
],
m
=
t
[
13
],
d
=
t
[
14
],
x
=
t
[
15
],
p
=
a
[
0
],
y
=
a
[
1
],
q
=
a
[
2
],
g
=
a
[
3
],
A
=
a
[
4
],
w
=
a
[
5
],
R
=
a
[
6
],
z
=
a
[
7
],
P
=
a
[
8
],
j
=
a
[
9
],
I
=
a
[
10
],
S
=
a
[
11
],
E
=
a
[
12
],
O
=
a
[
13
],
T
=
a
[
14
],
D
=
a
[
15
];
return
Math
.
abs
(
r
-
p
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
r
),
Math
.
abs
(
p
))
&&
Math
.
abs
(
u
-
y
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
u
),
Math
.
abs
(
y
))
&&
Math
.
abs
(
e
-
q
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
e
),
Math
.
abs
(
q
))
&&
Math
.
abs
(
o
-
g
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
o
),
Math
.
abs
(
g
))
&&
Math
.
abs
(
i
-
A
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
i
),
Math
.
abs
(
A
))
&&
Math
.
abs
(
c
-
w
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
c
),
Math
.
abs
(
w
))
&&
Math
.
abs
(
h
-
R
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
h
),
Math
.
abs
(
R
))
&&
Math
.
abs
(
s
-
z
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
s
),
Math
.
abs
(
z
))
&&
Math
.
abs
(
M
-
P
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
M
),
Math
.
abs
(
P
))
&&
Math
.
abs
(
f
-
j
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
f
),
Math
.
abs
(
j
))
&&
Math
.
abs
(
l
-
I
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
l
),
Math
.
abs
(
I
))
&&
Math
.
abs
(
v
-
S
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
v
),
Math
.
abs
(
S
))
&&
Math
.
abs
(
b
-
E
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
b
),
Math
.
abs
(
E
))
&&
Math
.
abs
(
m
-
O
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
m
),
Math
.
abs
(
O
))
&&
Math
.
abs
(
d
-
T
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
d
),
Math
.
abs
(
T
))
&&
Math
.
abs
(
x
-
D
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
x
),
Math
.
abs
(
D
))},
mul
:
I
,
sub
:
S
});
function
O
(){
var
t
=
new
a
(
3
);
return
a
!=
Float32Array
&&
(
t
[
0
]
=
0
,
t
[
1
]
=
0
,
t
[
2
]
=
0
),
t
}
function
T
(
t
){
var
n
=
t
[
0
],
a
=
t
[
1
],
r
=
t
[
2
];
return
Math
.
hypot
(
n
,
a
,
r
)}
function
D
(
t
,
n
,
r
){
var
u
=
new
a
(
3
);
return
u
[
0
]
=
t
,
u
[
1
]
=
n
,
u
[
2
]
=
r
,
u
}
function
F
(
t
,
n
,
a
){
return
t
[
0
]
=
n
[
0
]
-
a
[
0
],
t
[
1
]
=
n
[
1
]
-
a
[
1
],
t
[
2
]
=
n
[
2
]
-
a
[
2
],
t
}
function
L
(
t
,
n
,
a
){
return
t
[
0
]
=
n
[
0
]
*
a
[
0
],
t
[
1
]
=
n
[
1
]
*
a
[
1
],
t
[
2
]
=
n
[
2
]
*
a
[
2
],
t
}
function
V
(
t
,
n
,
a
){
return
t
[
0
]
=
n
[
0
]
/
a
[
0
],
t
[
1
]
=
n
[
1
]
/
a
[
1
],
t
[
2
]
=
n
[
2
]
/
a
[
2
],
t
}
function
Q
(
t
,
n
){
var
a
=
n
[
0
]
-
t
[
0
],
r
=
n
[
1
]
-
t
[
1
],
u
=
n
[
2
]
-
t
[
2
];
return
Math
.
hypot
(
a
,
r
,
u
)}
function
Y
(
t
,
n
){
var
a
=
n
[
0
]
-
t
[
0
],
r
=
n
[
1
]
-
t
[
1
],
u
=
n
[
2
]
-
t
[
2
];
return
a
*
a
+
r
*
r
+
u
*
u
}
function
X
(
t
){
var
n
=
t
[
0
],
a
=
t
[
1
],
r
=
t
[
2
];
return
n
*
n
+
a
*
a
+
r
*
r
}
function
Z
(
t
,
n
){
var
a
=
n
[
0
],
r
=
n
[
1
],
u
=
n
[
2
],
e
=
a
*
a
+
r
*
r
+
u
*
u
;
return
e
>
0
&&
(
e
=
1
/
Math
.
sqrt
(
e
)),
t
[
0
]
=
n
[
0
]
*
e
,
t
[
1
]
=
n
[
1
]
*
e
,
t
[
2
]
=
n
[
2
]
*
e
,
t
}
function
_
(
t
,
n
){
return
t
[
0
]
*
n
[
0
]
+
t
[
1
]
*
n
[
1
]
+
t
[
2
]
*
n
[
2
]}
function
B
(
t
,
n
,
a
){
var
r
=
n
[
0
],
u
=
n
[
1
],
e
=
n
[
2
],
o
=
a
[
0
],
i
=
a
[
1
],
c
=
a
[
2
];
return
t
[
0
]
=
u
*
c
-
e
*
i
,
t
[
1
]
=
e
*
o
-
r
*
c
,
t
[
2
]
=
r
*
i
-
u
*
o
,
t
}
var
N
,
k
=
F
,
U
=
L
,
W
=
V
,
C
=
Q
,
G
=
Y
,
H
=
T
,
J
=
X
,
K
=
(
N
=
O
(),
function
(
t
,
n
,
a
,
r
,
u
,
e
){
var
o
,
i
;
for
(
n
||
(
n
=
3
),
a
||
(
a
=
0
),
i
=
r
?
Math
.
min
(
r
*
n
+
a
,
t
.
length
):
t
.
length
,
o
=
a
;
o
<
i
;
o
+=
n
)
N
[
0
]
=
t
[
o
],
N
[
1
]
=
t
[
o
+
1
],
N
[
2
]
=
t
[
o
+
2
],
u
(
N
,
N
,
e
),
t
[
o
]
=
N
[
0
],
t
[
o
+
1
]
=
N
[
1
],
t
[
o
+
2
]
=
N
[
2
];
return
t
}),
$
=
Object
.
freeze
({
create
:
O
,
clone
:
function
(
t
){
var
n
=
new
a
(
3
);
return
n
[
0
]
=
t
[
0
],
n
[
1
]
=
t
[
1
],
n
[
2
]
=
t
[
2
],
n
},
length
:
T
,
fromValues
:
D
,
copy
:
function
(
t
,
n
){
return
t
[
0
]
=
n
[
0
],
t
[
1
]
=
n
[
1
],
t
[
2
]
=
n
[
2
],
t
},
set
:
function
(
t
,
n
,
a
,
r
){
return
t
[
0
]
=
n
,
t
[
1
]
=
a
,
t
[
2
]
=
r
,
t
},
add
:
function
(
t
,
n
,
a
){
return
t
[
0
]
=
n
[
0
]
+
a
[
0
],
t
[
1
]
=
n
[
1
]
+
a
[
1
],
t
[
2
]
=
n
[
2
]
+
a
[
2
],
t
},
subtract
:
F
,
multiply
:
L
,
divide
:
V
,
ceil
:
function
(
t
,
n
){
return
t
[
0
]
=
Math
.
ceil
(
n
[
0
]),
t
[
1
]
=
Math
.
ceil
(
n
[
1
]),
t
[
2
]
=
Math
.
ceil
(
n
[
2
]),
t
},
floor
:
function
(
t
,
n
){
return
t
[
0
]
=
Math
.
floor
(
n
[
0
]),
t
[
1
]
=
Math
.
floor
(
n
[
1
]),
t
[
2
]
=
Math
.
floor
(
n
[
2
]),
t
},
min
:
function
(
t
,
n
,
a
){
return
t
[
0
]
=
Math
.
min
(
n
[
0
],
a
[
0
]),
t
[
1
]
=
Math
.
min
(
n
[
1
],
a
[
1
]),
t
[
2
]
=
Math
.
min
(
n
[
2
],
a
[
2
]),
t
},
max
:
function
(
t
,
n
,
a
){
return
t
[
0
]
=
Math
.
max
(
n
[
0
],
a
[
0
]),
t
[
1
]
=
Math
.
max
(
n
[
1
],
a
[
1
]),
t
[
2
]
=
Math
.
max
(
n
[
2
],
a
[
2
]),
t
},
round
:
function
(
t
,
n
){
return
t
[
0
]
=
Math
.
round
(
n
[
0
]),
t
[
1
]
=
Math
.
round
(
n
[
1
]),
t
[
2
]
=
Math
.
round
(
n
[
2
]),
t
},
scale
:
function
(
t
,
n
,
a
){
return
t
[
0
]
=
n
[
0
]
*
a
,
t
[
1
]
=
n
[
1
]
*
a
,
t
[
2
]
=
n
[
2
]
*
a
,
t
},
scaleAndAdd
:
function
(
t
,
n
,
a
,
r
){
return
t
[
0
]
=
n
[
0
]
+
a
[
0
]
*
r
,
t
[
1
]
=
n
[
1
]
+
a
[
1
]
*
r
,
t
[
2
]
=
n
[
2
]
+
a
[
2
]
*
r
,
t
},
distance
:
Q
,
squaredDistance
:
Y
,
squaredLength
:
X
,
negate
:
function
(
t
,
n
){
return
t
[
0
]
=-
n
[
0
],
t
[
1
]
=-
n
[
1
],
t
[
2
]
=-
n
[
2
],
t
},
inverse
:
function
(
t
,
n
){
return
t
[
0
]
=
1
/
n
[
0
],
t
[
1
]
=
1
/
n
[
1
],
t
[
2
]
=
1
/
n
[
2
],
t
},
normalize
:
Z
,
dot
:
_
,
cross
:
B
,
lerp
:
function
(
t
,
n
,
a
,
r
){
var
u
=
n
[
0
],
e
=
n
[
1
],
o
=
n
[
2
];
return
t
[
0
]
=
u
+
r
*
(
a
[
0
]
-
u
),
t
[
1
]
=
e
+
r
*
(
a
[
1
]
-
e
),
t
[
2
]
=
o
+
r
*
(
a
[
2
]
-
o
),
t
},
hermite
:
function
(
t
,
n
,
a
,
r
,
u
,
e
){
var
o
=
e
*
e
,
i
=
o
*
(
2
*
e
-
3
)
+
1
,
c
=
o
*
(
e
-
2
)
+
e
,
h
=
o
*
(
e
-
1
),
s
=
o
*
(
3
-
2
*
e
);
return
t
[
0
]
=
n
[
0
]
*
i
+
a
[
0
]
*
c
+
r
[
0
]
*
h
+
u
[
0
]
*
s
,
t
[
1
]
=
n
[
1
]
*
i
+
a
[
1
]
*
c
+
r
[
1
]
*
h
+
u
[
1
]
*
s
,
t
[
2
]
=
n
[
2
]
*
i
+
a
[
2
]
*
c
+
r
[
2
]
*
h
+
u
[
2
]
*
s
,
t
},
bezier
:
function
(
t
,
n
,
a
,
r
,
u
,
e
){
var
o
=
1
-
e
,
i
=
o
*
o
,
c
=
e
*
e
,
h
=
i
*
o
,
s
=
3
*
e
*
i
,
M
=
3
*
c
*
o
,
f
=
c
*
e
;
return
t
[
0
]
=
n
[
0
]
*
h
+
a
[
0
]
*
s
+
r
[
0
]
*
M
+
u
[
0
]
*
f
,
t
[
1
]
=
n
[
1
]
*
h
+
a
[
1
]
*
s
+
r
[
1
]
*
M
+
u
[
1
]
*
f
,
t
[
2
]
=
n
[
2
]
*
h
+
a
[
2
]
*
s
+
r
[
2
]
*
M
+
u
[
2
]
*
f
,
t
},
random
:
function
(
t
,
n
){
n
=
n
||
1
;
var
a
=
2
*
r
()
*
Math
.
PI
,
u
=
2
*
r
()
-
1
,
e
=
Math
.
sqrt
(
1
-
u
*
u
)
*
n
;
return
t
[
0
]
=
Math
.
cos
(
a
)
*
e
,
t
[
1
]
=
Math
.
sin
(
a
)
*
e
,
t
[
2
]
=
u
*
n
,
t
},
transformMat4
:
function
(
t
,
n
,
a
){
var
r
=
n
[
0
],
u
=
n
[
1
],
e
=
n
[
2
],
o
=
a
[
3
]
*
r
+
a
[
7
]
*
u
+
a
[
11
]
*
e
+
a
[
15
];
return
o
=
o
||
1
,
t
[
0
]
=
(
a
[
0
]
*
r
+
a
[
4
]
*
u
+
a
[
8
]
*
e
+
a
[
12
])
/
o
,
t
[
1
]
=
(
a
[
1
]
*
r
+
a
[
5
]
*
u
+
a
[
9
]
*
e
+
a
[
13
])
/
o
,
t
[
2
]
=
(
a
[
2
]
*
r
+
a
[
6
]
*
u
+
a
[
10
]
*
e
+
a
[
14
])
/
o
,
t
},
transformMat3
:
function
(
t
,
n
,
a
){
var
r
=
n
[
0
],
u
=
n
[
1
],
e
=
n
[
2
];
return
t
[
0
]
=
r
*
a
[
0
]
+
u
*
a
[
3
]
+
e
*
a
[
6
],
t
[
1
]
=
r
*
a
[
1
]
+
u
*
a
[
4
]
+
e
*
a
[
7
],
t
[
2
]
=
r
*
a
[
2
]
+
u
*
a
[
5
]
+
e
*
a
[
8
],
t
},
transformQuat
:
function
(
t
,
n
,
a
){
var
r
=
a
[
0
],
u
=
a
[
1
],
e
=
a
[
2
],
o
=
a
[
3
],
i
=
n
[
0
],
c
=
n
[
1
],
h
=
n
[
2
],
s
=
u
*
h
-
e
*
c
,
M
=
e
*
i
-
r
*
h
,
f
=
r
*
c
-
u
*
i
,
l
=
u
*
f
-
e
*
M
,
v
=
e
*
s
-
r
*
f
,
b
=
r
*
M
-
u
*
s
,
m
=
2
*
o
;
return
s
*=
m
,
M
*=
m
,
f
*=
m
,
l
*=
2
,
v
*=
2
,
b
*=
2
,
t
[
0
]
=
i
+
s
+
l
,
t
[
1
]
=
c
+
M
+
v
,
t
[
2
]
=
h
+
f
+
b
,
t
},
rotateX
:
function
(
t
,
n
,
a
,
r
){
var
u
=
[],
e
=
[];
return
u
[
0
]
=
n
[
0
]
-
a
[
0
],
u
[
1
]
=
n
[
1
]
-
a
[
1
],
u
[
2
]
=
n
[
2
]
-
a
[
2
],
e
[
0
]
=
u
[
0
],
e
[
1
]
=
u
[
1
]
*
Math
.
cos
(
r
)
-
u
[
2
]
*
Math
.
sin
(
r
),
e
[
2
]
=
u
[
1
]
*
Math
.
sin
(
r
)
+
u
[
2
]
*
Math
.
cos
(
r
),
t
[
0
]
=
e
[
0
]
+
a
[
0
],
t
[
1
]
=
e
[
1
]
+
a
[
1
],
t
[
2
]
=
e
[
2
]
+
a
[
2
],
t
},
rotateY
:
function
(
t
,
n
,
a
,
r
){
var
u
=
[],
e
=
[];
return
u
[
0
]
=
n
[
0
]
-
a
[
0
],
u
[
1
]
=
n
[
1
]
-
a
[
1
],
u
[
2
]
=
n
[
2
]
-
a
[
2
],
e
[
0
]
=
u
[
2
]
*
Math
.
sin
(
r
)
+
u
[
0
]
*
Math
.
cos
(
r
),
e
[
1
]
=
u
[
1
],
e
[
2
]
=
u
[
2
]
*
Math
.
cos
(
r
)
-
u
[
0
]
*
Math
.
sin
(
r
),
t
[
0
]
=
e
[
0
]
+
a
[
0
],
t
[
1
]
=
e
[
1
]
+
a
[
1
],
t
[
2
]
=
e
[
2
]
+
a
[
2
],
t
},
rotateZ
:
function
(
t
,
n
,
a
,
r
){
var
u
=
[],
e
=
[];
return
u
[
0
]
=
n
[
0
]
-
a
[
0
],
u
[
1
]
=
n
[
1
]
-
a
[
1
],
u
[
2
]
=
n
[
2
]
-
a
[
2
],
e
[
0
]
=
u
[
0
]
*
Math
.
cos
(
r
)
-
u
[
1
]
*
Math
.
sin
(
r
),
e
[
1
]
=
u
[
0
]
*
Math
.
sin
(
r
)
+
u
[
1
]
*
Math
.
cos
(
r
),
e
[
2
]
=
u
[
2
],
t
[
0
]
=
e
[
0
]
+
a
[
0
],
t
[
1
]
=
e
[
1
]
+
a
[
1
],
t
[
2
]
=
e
[
2
]
+
a
[
2
],
t
},
angle
:
function
(
t
,
n
){
var
a
=
D
(
t
[
0
],
t
[
1
],
t
[
2
]),
r
=
D
(
n
[
0
],
n
[
1
],
n
[
2
]);
Z
(
a
,
a
),
Z
(
r
,
r
);
var
u
=
_
(
a
,
r
);
return
u
>
1
?
0
:
u
<-
1
?
Math
.
PI
:
Math
.
acos
(
u
)},
zero
:
function
(
t
){
return
t
[
0
]
=
0
,
t
[
1
]
=
0
,
t
[
2
]
=
0
,
t
},
str
:
function
(
t
){
return
"
vec3(
"
+
t
[
0
]
+
"
,
"
+
t
[
1
]
+
"
,
"
+
t
[
2
]
+
"
)
"
},
exactEquals
:
function
(
t
,
n
){
return
t
[
0
]
===
n
[
0
]
&&
t
[
1
]
===
n
[
1
]
&&
t
[
2
]
===
n
[
2
]},
equals
:
function
(
t
,
a
){
var
r
=
t
[
0
],
u
=
t
[
1
],
e
=
t
[
2
],
o
=
a
[
0
],
i
=
a
[
1
],
c
=
a
[
2
];
return
Math
.
abs
(
r
-
o
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
r
),
Math
.
abs
(
o
))
&&
Math
.
abs
(
u
-
i
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
u
),
Math
.
abs
(
i
))
&&
Math
.
abs
(
e
-
c
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
e
),
Math
.
abs
(
c
))},
sub
:
k
,
mul
:
U
,
div
:
W
,
dist
:
C
,
sqrDist
:
G
,
len
:
H
,
sqrLen
:
J
,
forEach
:
K
});
function
tt
(){
var
t
=
new
a
(
4
);
return
a
!=
Float32Array
&&
(
t
[
0
]
=
0
,
t
[
1
]
=
0
,
t
[
2
]
=
0
,
t
[
3
]
=
0
),
t
}
function
nt
(
t
){
var
n
=
new
a
(
4
);
return
n
[
0
]
=
t
[
0
],
n
[
1
]
=
t
[
1
],
n
[
2
]
=
t
[
2
],
n
[
3
]
=
t
[
3
],
n
}
function
at
(
t
,
n
,
r
,
u
){
var
e
=
new
a
(
4
);
return
e
[
0
]
=
t
,
e
[
1
]
=
n
,
e
[
2
]
=
r
,
e
[
3
]
=
u
,
e
}
function
rt
(
t
,
n
){
return
t
[
0
]
=
n
[
0
],
t
[
1
]
=
n
[
1
],
t
[
2
]
=
n
[
2
],
t
[
3
]
=
n
[
3
],
t
}
function
ut
(
t
,
n
,
a
,
r
,
u
){
return
t
[
0
]
=
n
,
t
[
1
]
=
a
,
t
[
2
]
=
r
,
t
[
3
]
=
u
,
t
}
function
et
(
t
,
n
,
a
){
return
t
[
0
]
=
n
[
0
]
+
a
[
0
],
t
[
1
]
=
n
[
1
]
+
a
[
1
],
t
[
2
]
=
n
[
2
]
+
a
[
2
],
t
[
3
]
=
n
[
3
]
+
a
[
3
],
t
}
function
ot
(
t
,
n
,
a
){
return
t
[
0
]
=
n
[
0
]
-
a
[
0
],
t
[
1
]
=
n
[
1
]
-
a
[
1
],
t
[
2
]
=
n
[
2
]
-
a
[
2
],
t
[
3
]
=
n
[
3
]
-
a
[
3
],
t
}
function
it
(
t
,
n
,
a
){
return
t
[
0
]
=
n
[
0
]
*
a
[
0
],
t
[
1
]
=
n
[
1
]
*
a
[
1
],
t
[
2
]
=
n
[
2
]
*
a
[
2
],
t
[
3
]
=
n
[
3
]
*
a
[
3
],
t
}
function
ct
(
t
,
n
,
a
){
return
t
[
0
]
=
n
[
0
]
/
a
[
0
],
t
[
1
]
=
n
[
1
]
/
a
[
1
],
t
[
2
]
=
n
[
2
]
/
a
[
2
],
t
[
3
]
=
n
[
3
]
/
a
[
3
],
t
}
function
ht
(
t
,
n
,
a
){
return
t
[
0
]
=
n
[
0
]
*
a
,
t
[
1
]
=
n
[
1
]
*
a
,
t
[
2
]
=
n
[
2
]
*
a
,
t
[
3
]
=
n
[
3
]
*
a
,
t
}
function
st
(
t
,
n
){
var
a
=
n
[
0
]
-
t
[
0
],
r
=
n
[
1
]
-
t
[
1
],
u
=
n
[
2
]
-
t
[
2
],
e
=
n
[
3
]
-
t
[
3
];
return
Math
.
hypot
(
a
,
r
,
u
,
e
)}
function
Mt
(
t
,
n
){
var
a
=
n
[
0
]
-
t
[
0
],
r
=
n
[
1
]
-
t
[
1
],
u
=
n
[
2
]
-
t
[
2
],
e
=
n
[
3
]
-
t
[
3
];
return
a
*
a
+
r
*
r
+
u
*
u
+
e
*
e
}
function
ft
(
t
){
var
n
=
t
[
0
],
a
=
t
[
1
],
r
=
t
[
2
],
u
=
t
[
3
];
return
Math
.
hypot
(
n
,
a
,
r
,
u
)}
function
lt
(
t
){
var
n
=
t
[
0
],
a
=
t
[
1
],
r
=
t
[
2
],
u
=
t
[
3
];
return
n
*
n
+
a
*
a
+
r
*
r
+
u
*
u
}
function
vt
(
t
,
n
){
var
a
=
n
[
0
],
r
=
n
[
1
],
u
=
n
[
2
],
e
=
n
[
3
],
o
=
a
*
a
+
r
*
r
+
u
*
u
+
e
*
e
;
return
o
>
0
&&
(
o
=
1
/
Math
.
sqrt
(
o
)),
t
[
0
]
=
a
*
o
,
t
[
1
]
=
r
*
o
,
t
[
2
]
=
u
*
o
,
t
[
3
]
=
e
*
o
,
t
}
function
bt
(
t
,
n
){
return
t
[
0
]
*
n
[
0
]
+
t
[
1
]
*
n
[
1
]
+
t
[
2
]
*
n
[
2
]
+
t
[
3
]
*
n
[
3
]}
function
mt
(
t
,
n
,
a
,
r
){
var
u
=
n
[
0
],
e
=
n
[
1
],
o
=
n
[
2
],
i
=
n
[
3
];
return
t
[
0
]
=
u
+
r
*
(
a
[
0
]
-
u
),
t
[
1
]
=
e
+
r
*
(
a
[
1
]
-
e
),
t
[
2
]
=
o
+
r
*
(
a
[
2
]
-
o
),
t
[
3
]
=
i
+
r
*
(
a
[
3
]
-
i
),
t
}
function
dt
(
t
,
n
){
return
t
[
0
]
===
n
[
0
]
&&
t
[
1
]
===
n
[
1
]
&&
t
[
2
]
===
n
[
2
]
&&
t
[
3
]
===
n
[
3
]}
function
xt
(
t
,
a
){
var
r
=
t
[
0
],
u
=
t
[
1
],
e
=
t
[
2
],
o
=
t
[
3
],
i
=
a
[
0
],
c
=
a
[
1
],
h
=
a
[
2
],
s
=
a
[
3
];
return
Math
.
abs
(
r
-
i
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
r
),
Math
.
abs
(
i
))
&&
Math
.
abs
(
u
-
c
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
u
),
Math
.
abs
(
c
))
&&
Math
.
abs
(
e
-
h
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
e
),
Math
.
abs
(
h
))
&&
Math
.
abs
(
o
-
s
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
o
),
Math
.
abs
(
s
))}
var
pt
=
ot
,
yt
=
it
,
qt
=
ct
,
gt
=
st
,
At
=
Mt
,
wt
=
ft
,
Rt
=
lt
,
zt
=
function
(){
var
t
=
tt
();
return
function
(
n
,
a
,
r
,
u
,
e
,
o
){
var
i
,
c
;
for
(
a
||
(
a
=
4
),
r
||
(
r
=
0
),
c
=
u
?
Math
.
min
(
u
*
a
+
r
,
n
.
length
):
n
.
length
,
i
=
r
;
i
<
c
;
i
+=
a
)
t
[
0
]
=
n
[
i
],
t
[
1
]
=
n
[
i
+
1
],
t
[
2
]
=
n
[
i
+
2
],
t
[
3
]
=
n
[
i
+
3
],
e
(
t
,
t
,
o
),
n
[
i
]
=
t
[
0
],
n
[
i
+
1
]
=
t
[
1
],
n
[
i
+
2
]
=
t
[
2
],
n
[
i
+
3
]
=
t
[
3
];
return
n
}}(),
Pt
=
Object
.
freeze
({
create
:
tt
,
clone
:
nt
,
fromValues
:
at
,
copy
:
rt
,
set
:
ut
,
add
:
et
,
subtract
:
ot
,
multiply
:
it
,
divide
:
ct
,
ceil
:
function
(
t
,
n
){
return
t
[
0
]
=
Math
.
ceil
(
n
[
0
]),
t
[
1
]
=
Math
.
ceil
(
n
[
1
]),
t
[
2
]
=
Math
.
ceil
(
n
[
2
]),
t
[
3
]
=
Math
.
ceil
(
n
[
3
]),
t
},
floor
:
function
(
t
,
n
){
return
t
[
0
]
=
Math
.
floor
(
n
[
0
]),
t
[
1
]
=
Math
.
floor
(
n
[
1
]),
t
[
2
]
=
Math
.
floor
(
n
[
2
]),
t
[
3
]
=
Math
.
floor
(
n
[
3
]),
t
},
min
:
function
(
t
,
n
,
a
){
return
t
[
0
]
=
Math
.
min
(
n
[
0
],
a
[
0
]),
t
[
1
]
=
Math
.
min
(
n
[
1
],
a
[
1
]),
t
[
2
]
=
Math
.
min
(
n
[
2
],
a
[
2
]),
t
[
3
]
=
Math
.
min
(
n
[
3
],
a
[
3
]),
t
},
max
:
function
(
t
,
n
,
a
){
return
t
[
0
]
=
Math
.
max
(
n
[
0
],
a
[
0
]),
t
[
1
]
=
Math
.
max
(
n
[
1
],
a
[
1
]),
t
[
2
]
=
Math
.
max
(
n
[
2
],
a
[
2
]),
t
[
3
]
=
Math
.
max
(
n
[
3
],
a
[
3
]),
t
},
round
:
function
(
t
,
n
){
return
t
[
0
]
=
Math
.
round
(
n
[
0
]),
t
[
1
]
=
Math
.
round
(
n
[
1
]),
t
[
2
]
=
Math
.
round
(
n
[
2
]),
t
[
3
]
=
Math
.
round
(
n
[
3
]),
t
},
scale
:
ht
,
scaleAndAdd
:
function
(
t
,
n
,
a
,
r
){
return
t
[
0
]
=
n
[
0
]
+
a
[
0
]
*
r
,
t
[
1
]
=
n
[
1
]
+
a
[
1
]
*
r
,
t
[
2
]
=
n
[
2
]
+
a
[
2
]
*
r
,
t
[
3
]
=
n
[
3
]
+
a
[
3
]
*
r
,
t
},
distance
:
st
,
squaredDistance
:
Mt
,
length
:
ft
,
squaredLength
:
lt
,
negate
:
function
(
t
,
n
){
return
t
[
0
]
=-
n
[
0
],
t
[
1
]
=-
n
[
1
],
t
[
2
]
=-
n
[
2
],
t
[
3
]
=-
n
[
3
],
t
},
inverse
:
function
(
t
,
n
){
return
t
[
0
]
=
1
/
n
[
0
],
t
[
1
]
=
1
/
n
[
1
],
t
[
2
]
=
1
/
n
[
2
],
t
[
3
]
=
1
/
n
[
3
],
t
},
normalize
:
vt
,
dot
:
bt
,
cross
:
function
(
t
,
n
,
a
,
r
){
var
u
=
a
[
0
]
*
r
[
1
]
-
a
[
1
]
*
r
[
0
],
e
=
a
[
0
]
*
r
[
2
]
-
a
[
2
]
*
r
[
0
],
o
=
a
[
0
]
*
r
[
3
]
-
a
[
3
]
*
r
[
0
],
i
=
a
[
1
]
*
r
[
2
]
-
a
[
2
]
*
r
[
1
],
c
=
a
[
1
]
*
r
[
3
]
-
a
[
3
]
*
r
[
1
],
h
=
a
[
2
]
*
r
[
3
]
-
a
[
3
]
*
r
[
2
],
s
=
n
[
0
],
M
=
n
[
1
],
f
=
n
[
2
],
l
=
n
[
3
];
return
t
[
0
]
=
M
*
h
-
f
*
c
+
l
*
i
,
t
[
1
]
=-
s
*
h
+
f
*
o
-
l
*
e
,
t
[
2
]
=
s
*
c
-
M
*
o
+
l
*
u
,
t
[
3
]
=-
s
*
i
+
M
*
e
-
f
*
u
,
t
},
lerp
:
mt
,
random
:
function
(
t
,
n
){
var
a
,
u
,
e
,
o
,
i
,
c
;
n
=
n
||
1
;
do
{
i
=
(
a
=
2
*
r
()
-
1
)
*
a
+
(
u
=
2
*
r
()
-
1
)
*
u
}
while
(
i
>=
1
);
do
{
c
=
(
e
=
2
*
r
()
-
1
)
*
e
+
(
o
=
2
*
r
()
-
1
)
*
o
}
while
(
c
>=
1
);
var
h
=
Math
.
sqrt
((
1
-
i
)
/
c
);
return
t
[
0
]
=
n
*
a
,
t
[
1
]
=
n
*
u
,
t
[
2
]
=
n
*
e
*
h
,
t
[
3
]
=
n
*
o
*
h
,
t
},
transformMat4
:
function
(
t
,
n
,
a
){
var
r
=
n
[
0
],
u
=
n
[
1
],
e
=
n
[
2
],
o
=
n
[
3
];
return
t
[
0
]
=
a
[
0
]
*
r
+
a
[
4
]
*
u
+
a
[
8
]
*
e
+
a
[
12
]
*
o
,
t
[
1
]
=
a
[
1
]
*
r
+
a
[
5
]
*
u
+
a
[
9
]
*
e
+
a
[
13
]
*
o
,
t
[
2
]
=
a
[
2
]
*
r
+
a
[
6
]
*
u
+
a
[
10
]
*
e
+
a
[
14
]
*
o
,
t
[
3
]
=
a
[
3
]
*
r
+
a
[
7
]
*
u
+
a
[
11
]
*
e
+
a
[
15
]
*
o
,
t
},
transformQuat
:
function
(
t
,
n
,
a
){
var
r
=
n
[
0
],
u
=
n
[
1
],
e
=
n
[
2
],
o
=
a
[
0
],
i
=
a
[
1
],
c
=
a
[
2
],
h
=
a
[
3
],
s
=
h
*
r
+
i
*
e
-
c
*
u
,
M
=
h
*
u
+
c
*
r
-
o
*
e
,
f
=
h
*
e
+
o
*
u
-
i
*
r
,
l
=-
o
*
r
-
i
*
u
-
c
*
e
;
return
t
[
0
]
=
s
*
h
+
l
*-
o
+
M
*-
c
-
f
*-
i
,
t
[
1
]
=
M
*
h
+
l
*-
i
+
f
*-
o
-
s
*-
c
,
t
[
2
]
=
f
*
h
+
l
*-
c
+
s
*-
i
-
M
*-
o
,
t
[
3
]
=
n
[
3
],
t
},
zero
:
function
(
t
){
return
t
[
0
]
=
0
,
t
[
1
]
=
0
,
t
[
2
]
=
0
,
t
[
3
]
=
0
,
t
},
str
:
function
(
t
){
return
"
vec4(
"
+
t
[
0
]
+
"
,
"
+
t
[
1
]
+
"
,
"
+
t
[
2
]
+
"
,
"
+
t
[
3
]
+
"
)
"
},
exactEquals
:
dt
,
equals
:
xt
,
sub
:
pt
,
mul
:
yt
,
div
:
qt
,
dist
:
gt
,
sqrDist
:
At
,
len
:
wt
,
sqrLen
:
Rt
,
forEach
:
zt
});
function
jt
(){
var
t
=
new
a
(
4
);
return
a
!=
Float32Array
&&
(
t
[
0
]
=
0
,
t
[
1
]
=
0
,
t
[
2
]
=
0
),
t
[
3
]
=
1
,
t
}
function
It
(
t
,
n
,
a
){
a
*=
.
5
;
var
r
=
Math
.
sin
(
a
);
return
t
[
0
]
=
r
*
n
[
0
],
t
[
1
]
=
r
*
n
[
1
],
t
[
2
]
=
r
*
n
[
2
],
t
[
3
]
=
Math
.
cos
(
a
),
t
}
function
St
(
t
,
n
,
a
){
var
r
=
n
[
0
],
u
=
n
[
1
],
e
=
n
[
2
],
o
=
n
[
3
],
i
=
a
[
0
],
c
=
a
[
1
],
h
=
a
[
2
],
s
=
a
[
3
];
return
t
[
0
]
=
r
*
s
+
o
*
i
+
u
*
h
-
e
*
c
,
t
[
1
]
=
u
*
s
+
o
*
c
+
e
*
i
-
r
*
h
,
t
[
2
]
=
e
*
s
+
o
*
h
+
r
*
c
-
u
*
i
,
t
[
3
]
=
o
*
s
-
r
*
i
-
u
*
c
-
e
*
h
,
t
}
function
Et
(
t
,
n
,
a
){
a
*=
.
5
;
var
r
=
n
[
0
],
u
=
n
[
1
],
e
=
n
[
2
],
o
=
n
[
3
],
i
=
Math
.
sin
(
a
),
c
=
Math
.
cos
(
a
);
return
t
[
0
]
=
r
*
c
+
o
*
i
,
t
[
1
]
=
u
*
c
+
e
*
i
,
t
[
2
]
=
e
*
c
-
u
*
i
,
t
[
3
]
=
o
*
c
-
r
*
i
,
t
}
function
Ot
(
t
,
n
,
a
){
a
*=
.
5
;
var
r
=
n
[
0
],
u
=
n
[
1
],
e
=
n
[
2
],
o
=
n
[
3
],
i
=
Math
.
sin
(
a
),
c
=
Math
.
cos
(
a
);
return
t
[
0
]
=
r
*
c
-
e
*
i
,
t
[
1
]
=
u
*
c
+
o
*
i
,
t
[
2
]
=
e
*
c
+
r
*
i
,
t
[
3
]
=
o
*
c
-
u
*
i
,
t
}
function
Tt
(
t
,
n
,
a
){
a
*=
.
5
;
var
r
=
n
[
0
],
u
=
n
[
1
],
e
=
n
[
2
],
o
=
n
[
3
],
i
=
Math
.
sin
(
a
),
c
=
Math
.
cos
(
a
);
return
t
[
0
]
=
r
*
c
+
u
*
i
,
t
[
1
]
=
u
*
c
-
r
*
i
,
t
[
2
]
=
e
*
c
+
o
*
i
,
t
[
3
]
=
o
*
c
-
e
*
i
,
t
}
function
Dt
(
t
,
a
,
r
,
u
){
var
e
,
o
,
i
,
c
,
h
,
s
=
a
[
0
],
M
=
a
[
1
],
f
=
a
[
2
],
l
=
a
[
3
],
v
=
r
[
0
],
b
=
r
[
1
],
m
=
r
[
2
],
d
=
r
[
3
];
return
(
o
=
s
*
v
+
M
*
b
+
f
*
m
+
l
*
d
)
<
0
&&
(
o
=-
o
,
v
=-
v
,
b
=-
b
,
m
=-
m
,
d
=-
d
),
1
-
o
>
n
?(
e
=
Math
.
acos
(
o
),
i
=
Math
.
sin
(
e
),
c
=
Math
.
sin
((
1
-
u
)
*
e
)
/
i
,
h
=
Math
.
sin
(
u
*
e
)
/
i
):(
c
=
1
-
u
,
h
=
u
),
t
[
0
]
=
c
*
s
+
h
*
v
,
t
[
1
]
=
c
*
M
+
h
*
b
,
t
[
2
]
=
c
*
f
+
h
*
m
,
t
[
3
]
=
c
*
l
+
h
*
d
,
t
}
function
Ft
(
t
,
n
){
var
a
,
r
=
n
[
0
]
+
n
[
4
]
+
n
[
8
];
if
(
r
>
0
)
a
=
Math
.
sqrt
(
r
+
1
),
t
[
3
]
=
.
5
*
a
,
a
=
.
5
/
a
,
t
[
0
]
=
(
n
[
5
]
-
n
[
7
])
*
a
,
t
[
1
]
=
(
n
[
6
]
-
n
[
2
])
*
a
,
t
[
2
]
=
(
n
[
1
]
-
n
[
3
])
*
a
;
else
{
var
u
=
0
;
n
[
4
]
>
n
[
0
]
&&
(
u
=
1
),
n
[
8
]
>
n
[
3
*
u
+
u
]
&&
(
u
=
2
);
var
e
=
(
u
+
1
)
%
3
,
o
=
(
u
+
2
)
%
3
;
a
=
Math
.
sqrt
(
n
[
3
*
u
+
u
]
-
n
[
3
*
e
+
e
]
-
n
[
3
*
o
+
o
]
+
1
),
t
[
u
]
=
.
5
*
a
,
a
=
.
5
/
a
,
t
[
3
]
=
(
n
[
3
*
e
+
o
]
-
n
[
3
*
o
+
e
])
*
a
,
t
[
e
]
=
(
n
[
3
*
e
+
u
]
+
n
[
3
*
u
+
e
])
*
a
,
t
[
o
]
=
(
n
[
3
*
o
+
u
]
+
n
[
3
*
u
+
o
])
*
a
}
return
t
}
var
Lt
,
Vt
,
Qt
,
Yt
,
Xt
,
Zt
,
_t
=
nt
,
Bt
=
at
,
Nt
=
rt
,
kt
=
ut
,
Ut
=
et
,
Wt
=
St
,
Ct
=
ht
,
Gt
=
bt
,
Ht
=
mt
,
Jt
=
ft
,
Kt
=
Jt
,
$t
=
lt
,
tn
=
$t
,
nn
=
vt
,
an
=
dt
,
rn
=
xt
,
un
=
(
Lt
=
O
(),
Vt
=
D
(
1
,
0
,
0
),
Qt
=
D
(
0
,
1
,
0
),
function
(
t
,
n
,
a
){
var
r
=
_
(
n
,
a
);
return
r
<-
.
999999
?(
B
(
Lt
,
Vt
,
n
),
H
(
Lt
)
<
1
e
-
6
&&
B
(
Lt
,
Qt
,
n
),
Z
(
Lt
,
Lt
),
It
(
t
,
Lt
,
Math
.
PI
),
t
):
r
>
.
999999
?(
t
[
0
]
=
0
,
t
[
1
]
=
0
,
t
[
2
]
=
0
,
t
[
3
]
=
1
,
t
):(
B
(
Lt
,
n
,
a
),
t
[
0
]
=
Lt
[
0
],
t
[
1
]
=
Lt
[
1
],
t
[
2
]
=
Lt
[
2
],
t
[
3
]
=
1
+
r
,
nn
(
t
,
t
))}),
en
=
(
Yt
=
jt
(),
Xt
=
jt
(),
function
(
t
,
n
,
a
,
r
,
u
,
e
){
return
Dt
(
Yt
,
n
,
u
,
e
),
Dt
(
Xt
,
a
,
r
,
e
),
Dt
(
t
,
Yt
,
Xt
,
2
*
e
*
(
1
-
e
)),
t
}),
on
=
(
Zt
=
m
(),
function
(
t
,
n
,
a
,
r
){
return
Zt
[
0
]
=
a
[
0
],
Zt
[
3
]
=
a
[
1
],
Zt
[
6
]
=
a
[
2
],
Zt
[
1
]
=
r
[
0
],
Zt
[
4
]
=
r
[
1
],
Zt
[
7
]
=
r
[
2
],
Zt
[
2
]
=-
n
[
0
],
Zt
[
5
]
=-
n
[
1
],
Zt
[
8
]
=-
n
[
2
],
nn
(
t
,
Ft
(
t
,
Zt
))}),
cn
=
Object
.
freeze
({
create
:
jt
,
identity
:
function
(
t
){
return
t
[
0
]
=
0
,
t
[
1
]
=
0
,
t
[
2
]
=
0
,
t
[
3
]
=
1
,
t
},
setAxisAngle
:
It
,
getAxisAngle
:
function
(
t
,
a
){
var
r
=
2
*
Math
.
acos
(
a
[
3
]),
u
=
Math
.
sin
(
r
/
2
);
return
u
>
n
?(
t
[
0
]
=
a
[
0
]
/
u
,
t
[
1
]
=
a
[
1
]
/
u
,
t
[
2
]
=
a
[
2
]
/
u
):(
t
[
0
]
=
1
,
t
[
1
]
=
0
,
t
[
2
]
=
0
),
r
},
multiply
:
St
,
rotateX
:
Et
,
rotateY
:
Ot
,
rotateZ
:
Tt
,
calculateW
:
function
(
t
,
n
){
var
a
=
n
[
0
],
r
=
n
[
1
],
u
=
n
[
2
];
return
t
[
0
]
=
a
,
t
[
1
]
=
r
,
t
[
2
]
=
u
,
t
[
3
]
=
Math
.
sqrt
(
Math
.
abs
(
1
-
a
*
a
-
r
*
r
-
u
*
u
)),
t
},
slerp
:
Dt
,
random
:
function
(
t
){
var
n
=
r
(),
a
=
r
(),
u
=
r
(),
e
=
Math
.
sqrt
(
1
-
n
),
o
=
Math
.
sqrt
(
n
);
return
t
[
0
]
=
e
*
Math
.
sin
(
2
*
Math
.
PI
*
a
),
t
[
1
]
=
e
*
Math
.
cos
(
2
*
Math
.
PI
*
a
),
t
[
2
]
=
o
*
Math
.
sin
(
2
*
Math
.
PI
*
u
),
t
[
3
]
=
o
*
Math
.
cos
(
2
*
Math
.
PI
*
u
),
t
},
invert
:
function
(
t
,
n
){
var
a
=
n
[
0
],
r
=
n
[
1
],
u
=
n
[
2
],
e
=
n
[
3
],
o
=
a
*
a
+
r
*
r
+
u
*
u
+
e
*
e
,
i
=
o
?
1
/
o
:
0
;
return
t
[
0
]
=-
a
*
i
,
t
[
1
]
=-
r
*
i
,
t
[
2
]
=-
u
*
i
,
t
[
3
]
=
e
*
i
,
t
},
conjugate
:
function
(
t
,
n
){
return
t
[
0
]
=-
n
[
0
],
t
[
1
]
=-
n
[
1
],
t
[
2
]
=-
n
[
2
],
t
[
3
]
=
n
[
3
],
t
},
fromMat3
:
Ft
,
fromEuler
:
function
(
t
,
n
,
a
,
r
){
var
u
=
.
5
*
Math
.
PI
/
180
;
n
*=
u
,
a
*=
u
,
r
*=
u
;
var
e
=
Math
.
sin
(
n
),
o
=
Math
.
cos
(
n
),
i
=
Math
.
sin
(
a
),
c
=
Math
.
cos
(
a
),
h
=
Math
.
sin
(
r
),
s
=
Math
.
cos
(
r
);
return
t
[
0
]
=
e
*
c
*
s
-
o
*
i
*
h
,
t
[
1
]
=
o
*
i
*
s
+
e
*
c
*
h
,
t
[
2
]
=
o
*
c
*
h
-
e
*
i
*
s
,
t
[
3
]
=
o
*
c
*
s
+
e
*
i
*
h
,
t
},
str
:
function
(
t
){
return
"
quat(
"
+
t
[
0
]
+
"
,
"
+
t
[
1
]
+
"
,
"
+
t
[
2
]
+
"
,
"
+
t
[
3
]
+
"
)
"
},
clone
:
_t
,
fromValues
:
Bt
,
copy
:
Nt
,
set
:
kt
,
add
:
Ut
,
mul
:
Wt
,
scale
:
Ct
,
dot
:
Gt
,
lerp
:
Ht
,
length
:
Jt
,
len
:
Kt
,
squaredLength
:
$t
,
sqrLen
:
tn
,
normalize
:
nn
,
exactEquals
:
an
,
equals
:
rn
,
rotationTo
:
un
,
sqlerp
:
en
,
setAxes
:
on
});
function
hn
(
t
,
n
,
a
){
var
r
=
.
5
*
a
[
0
],
u
=
.
5
*
a
[
1
],
e
=
.
5
*
a
[
2
],
o
=
n
[
0
],
i
=
n
[
1
],
c
=
n
[
2
],
h
=
n
[
3
];
return
t
[
0
]
=
o
,
t
[
1
]
=
i
,
t
[
2
]
=
c
,
t
[
3
]
=
h
,
t
[
4
]
=
r
*
h
+
u
*
c
-
e
*
i
,
t
[
5
]
=
u
*
h
+
e
*
o
-
r
*
c
,
t
[
6
]
=
e
*
h
+
r
*
i
-
u
*
o
,
t
[
7
]
=-
r
*
o
-
u
*
i
-
e
*
c
,
t
}
function
sn
(
t
,
n
){
return
t
[
0
]
=
n
[
0
],
t
[
1
]
=
n
[
1
],
t
[
2
]
=
n
[
2
],
t
[
3
]
=
n
[
3
],
t
[
4
]
=
n
[
4
],
t
[
5
]
=
n
[
5
],
t
[
6
]
=
n
[
6
],
t
[
7
]
=
n
[
7
],
t
}
var
Mn
=
Nt
;
var
fn
=
Nt
;
function
ln
(
t
,
n
,
a
){
var
r
=
n
[
0
],
u
=
n
[
1
],
e
=
n
[
2
],
o
=
n
[
3
],
i
=
a
[
4
],
c
=
a
[
5
],
h
=
a
[
6
],
s
=
a
[
7
],
M
=
n
[
4
],
f
=
n
[
5
],
l
=
n
[
6
],
v
=
n
[
7
],
b
=
a
[
0
],
m
=
a
[
1
],
d
=
a
[
2
],
x
=
a
[
3
];
return
t
[
0
]
=
r
*
x
+
o
*
b
+
u
*
d
-
e
*
m
,
t
[
1
]
=
u
*
x
+
o
*
m
+
e
*
b
-
r
*
d
,
t
[
2
]
=
e
*
x
+
o
*
d
+
r
*
m
-
u
*
b
,
t
[
3
]
=
o
*
x
-
r
*
b
-
u
*
m
-
e
*
d
,
t
[
4
]
=
r
*
s
+
o
*
i
+
u
*
h
-
e
*
c
+
M
*
x
+
v
*
b
+
f
*
d
-
l
*
m
,
t
[
5
]
=
u
*
s
+
o
*
c
+
e
*
i
-
r
*
h
+
f
*
x
+
v
*
m
+
l
*
b
-
M
*
d
,
t
[
6
]
=
e
*
s
+
o
*
h
+
r
*
c
-
u
*
i
+
l
*
x
+
v
*
d
+
M
*
m
-
f
*
b
,
t
[
7
]
=
o
*
s
-
r
*
i
-
u
*
c
-
e
*
h
+
v
*
x
-
M
*
b
-
f
*
m
-
l
*
d
,
t
}
var
vn
=
ln
;
var
bn
=
Gt
;
var
mn
=
Jt
,
dn
=
mn
,
xn
=
$t
,
pn
=
xn
;
var
yn
=
Object
.
freeze
({
create
:
function
(){
var
t
=
new
a
(
8
);
return
a
!=
Float32Array
&&
(
t
[
0
]
=
0
,
t
[
1
]
=
0
,
t
[
2
]
=
0
,
t
[
4
]
=
0
,
t
[
5
]
=
0
,
t
[
6
]
=
0
,
t
[
7
]
=
0
),
t
[
3
]
=
1
,
t
},
clone
:
function
(
t
){
var
n
=
new
a
(
8
);
return
n
[
0
]
=
t
[
0
],
n
[
1
]
=
t
[
1
],
n
[
2
]
=
t
[
2
],
n
[
3
]
=
t
[
3
],
n
[
4
]
=
t
[
4
],
n
[
5
]
=
t
[
5
],
n
[
6
]
=
t
[
6
],
n
[
7
]
=
t
[
7
],
n
},
fromValues
:
function
(
t
,
n
,
r
,
u
,
e
,
o
,
i
,
c
){
var
h
=
new
a
(
8
);
return
h
[
0
]
=
t
,
h
[
1
]
=
n
,
h
[
2
]
=
r
,
h
[
3
]
=
u
,
h
[
4
]
=
e
,
h
[
5
]
=
o
,
h
[
6
]
=
i
,
h
[
7
]
=
c
,
h
},
fromRotationTranslationValues
:
function
(
t
,
n
,
r
,
u
,
e
,
o
,
i
){
var
c
=
new
a
(
8
);
c
[
0
]
=
t
,
c
[
1
]
=
n
,
c
[
2
]
=
r
,
c
[
3
]
=
u
;
var
h
=
.
5
*
e
,
s
=
.
5
*
o
,
M
=
.
5
*
i
;
return
c
[
4
]
=
h
*
u
+
s
*
r
-
M
*
n
,
c
[
5
]
=
s
*
u
+
M
*
t
-
h
*
r
,
c
[
6
]
=
M
*
u
+
h
*
n
-
s
*
t
,
c
[
7
]
=-
h
*
t
-
s
*
n
-
M
*
r
,
c
},
fromRotationTranslation
:
hn
,
fromTranslation
:
function
(
t
,
n
){
return
t
[
0
]
=
0
,
t
[
1
]
=
0
,
t
[
2
]
=
0
,
t
[
3
]
=
1
,
t
[
4
]
=
.
5
*
n
[
0
],
t
[
5
]
=
.
5
*
n
[
1
],
t
[
6
]
=
.
5
*
n
[
2
],
t
[
7
]
=
0
,
t
},
fromRotation
:
function
(
t
,
n
){
return
t
[
0
]
=
n
[
0
],
t
[
1
]
=
n
[
1
],
t
[
2
]
=
n
[
2
],
t
[
3
]
=
n
[
3
],
t
[
4
]
=
0
,
t
[
5
]
=
0
,
t
[
6
]
=
0
,
t
[
7
]
=
0
,
t
},
fromMat4
:
function
(
t
,
n
){
var
r
=
jt
();
P
(
r
,
n
);
var
u
=
new
a
(
3
);
return
R
(
u
,
n
),
hn
(
t
,
r
,
u
),
t
},
copy
:
sn
,
identity
:
function
(
t
){
return
t
[
0
]
=
0
,
t
[
1
]
=
0
,
t
[
2
]
=
0
,
t
[
3
]
=
1
,
t
[
4
]
=
0
,
t
[
5
]
=
0
,
t
[
6
]
=
0
,
t
[
7
]
=
0
,
t
},
set
:
function
(
t
,
n
,
a
,
r
,
u
,
e
,
o
,
i
,
c
){
return
t
[
0
]
=
n
,
t
[
1
]
=
a
,
t
[
2
]
=
r
,
t
[
3
]
=
u
,
t
[
4
]
=
e
,
t
[
5
]
=
o
,
t
[
6
]
=
i
,
t
[
7
]
=
c
,
t
},
getReal
:
Mn
,
getDual
:
function
(
t
,
n
){
return
t
[
0
]
=
n
[
4
],
t
[
1
]
=
n
[
5
],
t
[
2
]
=
n
[
6
],
t
[
3
]
=
n
[
7
],
t
},
setReal
:
fn
,
setDual
:
function
(
t
,
n
){
return
t
[
4
]
=
n
[
0
],
t
[
5
]
=
n
[
1
],
t
[
6
]
=
n
[
2
],
t
[
7
]
=
n
[
3
],
t
},
getTranslation
:
function
(
t
,
n
){
var
a
=
n
[
4
],
r
=
n
[
5
],
u
=
n
[
6
],
e
=
n
[
7
],
o
=-
n
[
0
],
i
=-
n
[
1
],
c
=-
n
[
2
],
h
=
n
[
3
];
return
t
[
0
]
=
2
*
(
a
*
h
+
e
*
o
+
r
*
c
-
u
*
i
),
t
[
1
]
=
2
*
(
r
*
h
+
e
*
i
+
u
*
o
-
a
*
c
),
t
[
2
]
=
2
*
(
u
*
h
+
e
*
c
+
a
*
i
-
r
*
o
),
t
},
translate
:
function
(
t
,
n
,
a
){
var
r
=
n
[
0
],
u
=
n
[
1
],
e
=
n
[
2
],
o
=
n
[
3
],
i
=
.
5
*
a
[
0
],
c
=
.
5
*
a
[
1
],
h
=
.
5
*
a
[
2
],
s
=
n
[
4
],
M
=
n
[
5
],
f
=
n
[
6
],
l
=
n
[
7
];
return
t
[
0
]
=
r
,
t
[
1
]
=
u
,
t
[
2
]
=
e
,
t
[
3
]
=
o
,
t
[
4
]
=
o
*
i
+
u
*
h
-
e
*
c
+
s
,
t
[
5
]
=
o
*
c
+
e
*
i
-
r
*
h
+
M
,
t
[
6
]
=
o
*
h
+
r
*
c
-
u
*
i
+
f
,
t
[
7
]
=-
r
*
i
-
u
*
c
-
e
*
h
+
l
,
t
},
rotateX
:
function
(
t
,
n
,
a
){
var
r
=-
n
[
0
],
u
=-
n
[
1
],
e
=-
n
[
2
],
o
=
n
[
3
],
i
=
n
[
4
],
c
=
n
[
5
],
h
=
n
[
6
],
s
=
n
[
7
],
M
=
i
*
o
+
s
*
r
+
c
*
e
-
h
*
u
,
f
=
c
*
o
+
s
*
u
+
h
*
r
-
i
*
e
,
l
=
h
*
o
+
s
*
e
+
i
*
u
-
c
*
r
,
v
=
s
*
o
-
i
*
r
-
c
*
u
-
h
*
e
;
return
Et
(
t
,
n
,
a
),
r
=
t
[
0
],
u
=
t
[
1
],
e
=
t
[
2
],
o
=
t
[
3
],
t
[
4
]
=
M
*
o
+
v
*
r
+
f
*
e
-
l
*
u
,
t
[
5
]
=
f
*
o
+
v
*
u
+
l
*
r
-
M
*
e
,
t
[
6
]
=
l
*
o
+
v
*
e
+
M
*
u
-
f
*
r
,
t
[
7
]
=
v
*
o
-
M
*
r
-
f
*
u
-
l
*
e
,
t
},
rotateY
:
function
(
t
,
n
,
a
){
var
r
=-
n
[
0
],
u
=-
n
[
1
],
e
=-
n
[
2
],
o
=
n
[
3
],
i
=
n
[
4
],
c
=
n
[
5
],
h
=
n
[
6
],
s
=
n
[
7
],
M
=
i
*
o
+
s
*
r
+
c
*
e
-
h
*
u
,
f
=
c
*
o
+
s
*
u
+
h
*
r
-
i
*
e
,
l
=
h
*
o
+
s
*
e
+
i
*
u
-
c
*
r
,
v
=
s
*
o
-
i
*
r
-
c
*
u
-
h
*
e
;
return
Ot
(
t
,
n
,
a
),
r
=
t
[
0
],
u
=
t
[
1
],
e
=
t
[
2
],
o
=
t
[
3
],
t
[
4
]
=
M
*
o
+
v
*
r
+
f
*
e
-
l
*
u
,
t
[
5
]
=
f
*
o
+
v
*
u
+
l
*
r
-
M
*
e
,
t
[
6
]
=
l
*
o
+
v
*
e
+
M
*
u
-
f
*
r
,
t
[
7
]
=
v
*
o
-
M
*
r
-
f
*
u
-
l
*
e
,
t
},
rotateZ
:
function
(
t
,
n
,
a
){
var
r
=-
n
[
0
],
u
=-
n
[
1
],
e
=-
n
[
2
],
o
=
n
[
3
],
i
=
n
[
4
],
c
=
n
[
5
],
h
=
n
[
6
],
s
=
n
[
7
],
M
=
i
*
o
+
s
*
r
+
c
*
e
-
h
*
u
,
f
=
c
*
o
+
s
*
u
+
h
*
r
-
i
*
e
,
l
=
h
*
o
+
s
*
e
+
i
*
u
-
c
*
r
,
v
=
s
*
o
-
i
*
r
-
c
*
u
-
h
*
e
;
return
Tt
(
t
,
n
,
a
),
r
=
t
[
0
],
u
=
t
[
1
],
e
=
t
[
2
],
o
=
t
[
3
],
t
[
4
]
=
M
*
o
+
v
*
r
+
f
*
e
-
l
*
u
,
t
[
5
]
=
f
*
o
+
v
*
u
+
l
*
r
-
M
*
e
,
t
[
6
]
=
l
*
o
+
v
*
e
+
M
*
u
-
f
*
r
,
t
[
7
]
=
v
*
o
-
M
*
r
-
f
*
u
-
l
*
e
,
t
},
rotateByQuatAppend
:
function
(
t
,
n
,
a
){
var
r
=
a
[
0
],
u
=
a
[
1
],
e
=
a
[
2
],
o
=
a
[
3
],
i
=
n
[
0
],
c
=
n
[
1
],
h
=
n
[
2
],
s
=
n
[
3
];
return
t
[
0
]
=
i
*
o
+
s
*
r
+
c
*
e
-
h
*
u
,
t
[
1
]
=
c
*
o
+
s
*
u
+
h
*
r
-
i
*
e
,
t
[
2
]
=
h
*
o
+
s
*
e
+
i
*
u
-
c
*
r
,
t
[
3
]
=
s
*
o
-
i
*
r
-
c
*
u
-
h
*
e
,
i
=
n
[
4
],
c
=
n
[
5
],
h
=
n
[
6
],
s
=
n
[
7
],
t
[
4
]
=
i
*
o
+
s
*
r
+
c
*
e
-
h
*
u
,
t
[
5
]
=
c
*
o
+
s
*
u
+
h
*
r
-
i
*
e
,
t
[
6
]
=
h
*
o
+
s
*
e
+
i
*
u
-
c
*
r
,
t
[
7
]
=
s
*
o
-
i
*
r
-
c
*
u
-
h
*
e
,
t
},
rotateByQuatPrepend
:
function
(
t
,
n
,
a
){
var
r
=
n
[
0
],
u
=
n
[
1
],
e
=
n
[
2
],
o
=
n
[
3
],
i
=
a
[
0
],
c
=
a
[
1
],
h
=
a
[
2
],
s
=
a
[
3
];
return
t
[
0
]
=
r
*
s
+
o
*
i
+
u
*
h
-
e
*
c
,
t
[
1
]
=
u
*
s
+
o
*
c
+
e
*
i
-
r
*
h
,
t
[
2
]
=
e
*
s
+
o
*
h
+
r
*
c
-
u
*
i
,
t
[
3
]
=
o
*
s
-
r
*
i
-
u
*
c
-
e
*
h
,
i
=
a
[
4
],
c
=
a
[
5
],
h
=
a
[
6
],
s
=
a
[
7
],
t
[
4
]
=
r
*
s
+
o
*
i
+
u
*
h
-
e
*
c
,
t
[
5
]
=
u
*
s
+
o
*
c
+
e
*
i
-
r
*
h
,
t
[
6
]
=
e
*
s
+
o
*
h
+
r
*
c
-
u
*
i
,
t
[
7
]
=
o
*
s
-
r
*
i
-
u
*
c
-
e
*
h
,
t
},
rotateAroundAxis
:
function
(
t
,
a
,
r
,
u
){
if
(
Math
.
abs
(
u
)
<
n
)
return
sn
(
t
,
a
);
var
e
=
Math
.
hypot
(
r
[
0
],
r
[
1
],
r
[
2
]);
u
*=
.
5
;
var
o
=
Math
.
sin
(
u
),
i
=
o
*
r
[
0
]
/
e
,
c
=
o
*
r
[
1
]
/
e
,
h
=
o
*
r
[
2
]
/
e
,
s
=
Math
.
cos
(
u
),
M
=
a
[
0
],
f
=
a
[
1
],
l
=
a
[
2
],
v
=
a
[
3
];
t
[
0
]
=
M
*
s
+
v
*
i
+
f
*
h
-
l
*
c
,
t
[
1
]
=
f
*
s
+
v
*
c
+
l
*
i
-
M
*
h
,
t
[
2
]
=
l
*
s
+
v
*
h
+
M
*
c
-
f
*
i
,
t
[
3
]
=
v
*
s
-
M
*
i
-
f
*
c
-
l
*
h
;
var
b
=
a
[
4
],
m
=
a
[
5
],
d
=
a
[
6
],
x
=
a
[
7
];
return
t
[
4
]
=
b
*
s
+
x
*
i
+
m
*
h
-
d
*
c
,
t
[
5
]
=
m
*
s
+
x
*
c
+
d
*
i
-
b
*
h
,
t
[
6
]
=
d
*
s
+
x
*
h
+
b
*
c
-
m
*
i
,
t
[
7
]
=
x
*
s
-
b
*
i
-
m
*
c
-
d
*
h
,
t
},
add
:
function
(
t
,
n
,
a
){
return
t
[
0
]
=
n
[
0
]
+
a
[
0
],
t
[
1
]
=
n
[
1
]
+
a
[
1
],
t
[
2
]
=
n
[
2
]
+
a
[
2
],
t
[
3
]
=
n
[
3
]
+
a
[
3
],
t
[
4
]
=
n
[
4
]
+
a
[
4
],
t
[
5
]
=
n
[
5
]
+
a
[
5
],
t
[
6
]
=
n
[
6
]
+
a
[
6
],
t
[
7
]
=
n
[
7
]
+
a
[
7
],
t
},
multiply
:
ln
,
mul
:
vn
,
scale
:
function
(
t
,
n
,
a
){
return
t
[
0
]
=
n
[
0
]
*
a
,
t
[
1
]
=
n
[
1
]
*
a
,
t
[
2
]
=
n
[
2
]
*
a
,
t
[
3
]
=
n
[
3
]
*
a
,
t
[
4
]
=
n
[
4
]
*
a
,
t
[
5
]
=
n
[
5
]
*
a
,
t
[
6
]
=
n
[
6
]
*
a
,
t
[
7
]
=
n
[
7
]
*
a
,
t
},
dot
:
bn
,
lerp
:
function
(
t
,
n
,
a
,
r
){
var
u
=
1
-
r
;
return
bn
(
n
,
a
)
<
0
&&
(
r
=-
r
),
t
[
0
]
=
n
[
0
]
*
u
+
a
[
0
]
*
r
,
t
[
1
]
=
n
[
1
]
*
u
+
a
[
1
]
*
r
,
t
[
2
]
=
n
[
2
]
*
u
+
a
[
2
]
*
r
,
t
[
3
]
=
n
[
3
]
*
u
+
a
[
3
]
*
r
,
t
[
4
]
=
n
[
4
]
*
u
+
a
[
4
]
*
r
,
t
[
5
]
=
n
[
5
]
*
u
+
a
[
5
]
*
r
,
t
[
6
]
=
n
[
6
]
*
u
+
a
[
6
]
*
r
,
t
[
7
]
=
n
[
7
]
*
u
+
a
[
7
]
*
r
,
t
},
invert
:
function
(
t
,
n
){
var
a
=
xn
(
n
);
return
t
[
0
]
=-
n
[
0
]
/
a
,
t
[
1
]
=-
n
[
1
]
/
a
,
t
[
2
]
=-
n
[
2
]
/
a
,
t
[
3
]
=
n
[
3
]
/
a
,
t
[
4
]
=-
n
[
4
]
/
a
,
t
[
5
]
=-
n
[
5
]
/
a
,
t
[
6
]
=-
n
[
6
]
/
a
,
t
[
7
]
=
n
[
7
]
/
a
,
t
},
conjugate
:
function
(
t
,
n
){
return
t
[
0
]
=-
n
[
0
],
t
[
1
]
=-
n
[
1
],
t
[
2
]
=-
n
[
2
],
t
[
3
]
=
n
[
3
],
t
[
4
]
=-
n
[
4
],
t
[
5
]
=-
n
[
5
],
t
[
6
]
=-
n
[
6
],
t
[
7
]
=
n
[
7
],
t
},
length
:
mn
,
len
:
dn
,
squaredLength
:
xn
,
sqrLen
:
pn
,
normalize
:
function
(
t
,
n
){
var
a
=
xn
(
n
);
if
(
a
>
0
){
a
=
Math
.
sqrt
(
a
);
var
r
=
n
[
0
]
/
a
,
u
=
n
[
1
]
/
a
,
e
=
n
[
2
]
/
a
,
o
=
n
[
3
]
/
a
,
i
=
n
[
4
],
c
=
n
[
5
],
h
=
n
[
6
],
s
=
n
[
7
],
M
=
r
*
i
+
u
*
c
+
e
*
h
+
o
*
s
;
t
[
0
]
=
r
,
t
[
1
]
=
u
,
t
[
2
]
=
e
,
t
[
3
]
=
o
,
t
[
4
]
=
(
i
-
r
*
M
)
/
a
,
t
[
5
]
=
(
c
-
u
*
M
)
/
a
,
t
[
6
]
=
(
h
-
e
*
M
)
/
a
,
t
[
7
]
=
(
s
-
o
*
M
)
/
a
}
return
t
},
str
:
function
(
t
){
return
"
quat2(
"
+
t
[
0
]
+
"
,
"
+
t
[
1
]
+
"
,
"
+
t
[
2
]
+
"
,
"
+
t
[
3
]
+
"
,
"
+
t
[
4
]
+
"
,
"
+
t
[
5
]
+
"
,
"
+
t
[
6
]
+
"
,
"
+
t
[
7
]
+
"
)
"
},
exactEquals
:
function
(
t
,
n
){
return
t
[
0
]
===
n
[
0
]
&&
t
[
1
]
===
n
[
1
]
&&
t
[
2
]
===
n
[
2
]
&&
t
[
3
]
===
n
[
3
]
&&
t
[
4
]
===
n
[
4
]
&&
t
[
5
]
===
n
[
5
]
&&
t
[
6
]
===
n
[
6
]
&&
t
[
7
]
===
n
[
7
]},
equals
:
function
(
t
,
a
){
var
r
=
t
[
0
],
u
=
t
[
1
],
e
=
t
[
2
],
o
=
t
[
3
],
i
=
t
[
4
],
c
=
t
[
5
],
h
=
t
[
6
],
s
=
t
[
7
],
M
=
a
[
0
],
f
=
a
[
1
],
l
=
a
[
2
],
v
=
a
[
3
],
b
=
a
[
4
],
m
=
a
[
5
],
d
=
a
[
6
],
x
=
a
[
7
];
return
Math
.
abs
(
r
-
M
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
r
),
Math
.
abs
(
M
))
&&
Math
.
abs
(
u
-
f
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
u
),
Math
.
abs
(
f
))
&&
Math
.
abs
(
e
-
l
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
e
),
Math
.
abs
(
l
))
&&
Math
.
abs
(
o
-
v
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
o
),
Math
.
abs
(
v
))
&&
Math
.
abs
(
i
-
b
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
i
),
Math
.
abs
(
b
))
&&
Math
.
abs
(
c
-
m
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
c
),
Math
.
abs
(
m
))
&&
Math
.
abs
(
h
-
d
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
h
),
Math
.
abs
(
d
))
&&
Math
.
abs
(
s
-
x
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
s
),
Math
.
abs
(
x
))}});
function
qn
(){
var
t
=
new
a
(
2
);
return
a
!=
Float32Array
&&
(
t
[
0
]
=
0
,
t
[
1
]
=
0
),
t
}
function
gn
(
t
,
n
,
a
){
return
t
[
0
]
=
n
[
0
]
-
a
[
0
],
t
[
1
]
=
n
[
1
]
-
a
[
1
],
t
}
function
An
(
t
,
n
,
a
){
return
t
[
0
]
=
n
[
0
]
*
a
[
0
],
t
[
1
]
=
n
[
1
]
*
a
[
1
],
t
}
function
wn
(
t
,
n
,
a
){
return
t
[
0
]
=
n
[
0
]
/
a
[
0
],
t
[
1
]
=
n
[
1
]
/
a
[
1
],
t
}
function
Rn
(
t
,
n
){
var
a
=
n
[
0
]
-
t
[
0
],
r
=
n
[
1
]
-
t
[
1
];
return
Math
.
hypot
(
a
,
r
)}
function
zn
(
t
,
n
){
var
a
=
n
[
0
]
-
t
[
0
],
r
=
n
[
1
]
-
t
[
1
];
return
a
*
a
+
r
*
r
}
function
Pn
(
t
){
var
n
=
t
[
0
],
a
=
t
[
1
];
return
Math
.
hypot
(
n
,
a
)}
function
jn
(
t
){
var
n
=
t
[
0
],
a
=
t
[
1
];
return
n
*
n
+
a
*
a
}
var
In
=
Pn
,
Sn
=
gn
,
En
=
An
,
On
=
wn
,
Tn
=
Rn
,
Dn
=
zn
,
Fn
=
jn
,
Ln
=
function
(){
var
t
=
qn
();
return
function
(
n
,
a
,
r
,
u
,
e
,
o
){
var
i
,
c
;
for
(
a
||
(
a
=
2
),
r
||
(
r
=
0
),
c
=
u
?
Math
.
min
(
u
*
a
+
r
,
n
.
length
):
n
.
length
,
i
=
r
;
i
<
c
;
i
+=
a
)
t
[
0
]
=
n
[
i
],
t
[
1
]
=
n
[
i
+
1
],
e
(
t
,
t
,
o
),
n
[
i
]
=
t
[
0
],
n
[
i
+
1
]
=
t
[
1
];
return
n
}}(),
Vn
=
Object
.
freeze
({
create
:
qn
,
clone
:
function
(
t
){
var
n
=
new
a
(
2
);
return
n
[
0
]
=
t
[
0
],
n
[
1
]
=
t
[
1
],
n
},
fromValues
:
function
(
t
,
n
){
var
r
=
new
a
(
2
);
return
r
[
0
]
=
t
,
r
[
1
]
=
n
,
r
},
copy
:
function
(
t
,
n
){
return
t
[
0
]
=
n
[
0
],
t
[
1
]
=
n
[
1
],
t
},
set
:
function
(
t
,
n
,
a
){
return
t
[
0
]
=
n
,
t
[
1
]
=
a
,
t
},
add
:
function
(
t
,
n
,
a
){
return
t
[
0
]
=
n
[
0
]
+
a
[
0
],
t
[
1
]
=
n
[
1
]
+
a
[
1
],
t
},
subtract
:
gn
,
multiply
:
An
,
divide
:
wn
,
ceil
:
function
(
t
,
n
){
return
t
[
0
]
=
Math
.
ceil
(
n
[
0
]),
t
[
1
]
=
Math
.
ceil
(
n
[
1
]),
t
},
floor
:
function
(
t
,
n
){
return
t
[
0
]
=
Math
.
floor
(
n
[
0
]),
t
[
1
]
=
Math
.
floor
(
n
[
1
]),
t
},
min
:
function
(
t
,
n
,
a
){
return
t
[
0
]
=
Math
.
min
(
n
[
0
],
a
[
0
]),
t
[
1
]
=
Math
.
min
(
n
[
1
],
a
[
1
]),
t
},
max
:
function
(
t
,
n
,
a
){
return
t
[
0
]
=
Math
.
max
(
n
[
0
],
a
[
0
]),
t
[
1
]
=
Math
.
max
(
n
[
1
],
a
[
1
]),
t
},
round
:
function
(
t
,
n
){
return
t
[
0
]
=
Math
.
round
(
n
[
0
]),
t
[
1
]
=
Math
.
round
(
n
[
1
]),
t
},
scale
:
function
(
t
,
n
,
a
){
return
t
[
0
]
=
n
[
0
]
*
a
,
t
[
1
]
=
n
[
1
]
*
a
,
t
},
scaleAndAdd
:
function
(
t
,
n
,
a
,
r
){
return
t
[
0
]
=
n
[
0
]
+
a
[
0
]
*
r
,
t
[
1
]
=
n
[
1
]
+
a
[
1
]
*
r
,
t
},
distance
:
Rn
,
squaredDistance
:
zn
,
length
:
Pn
,
squaredLength
:
jn
,
negate
:
function
(
t
,
n
){
return
t
[
0
]
=-
n
[
0
],
t
[
1
]
=-
n
[
1
],
t
},
inverse
:
function
(
t
,
n
){
return
t
[
0
]
=
1
/
n
[
0
],
t
[
1
]
=
1
/
n
[
1
],
t
},
normalize
:
function
(
t
,
n
){
var
a
=
n
[
0
],
r
=
n
[
1
],
u
=
a
*
a
+
r
*
r
;
return
u
>
0
&&
(
u
=
1
/
Math
.
sqrt
(
u
)),
t
[
0
]
=
n
[
0
]
*
u
,
t
[
1
]
=
n
[
1
]
*
u
,
t
},
dot
:
function
(
t
,
n
){
return
t
[
0
]
*
n
[
0
]
+
t
[
1
]
*
n
[
1
]},
cross
:
function
(
t
,
n
,
a
){
var
r
=
n
[
0
]
*
a
[
1
]
-
n
[
1
]
*
a
[
0
];
return
t
[
0
]
=
t
[
1
]
=
0
,
t
[
2
]
=
r
,
t
},
lerp
:
function
(
t
,
n
,
a
,
r
){
var
u
=
n
[
0
],
e
=
n
[
1
];
return
t
[
0
]
=
u
+
r
*
(
a
[
0
]
-
u
),
t
[
1
]
=
e
+
r
*
(
a
[
1
]
-
e
),
t
},
random
:
function
(
t
,
n
){
n
=
n
||
1
;
var
a
=
2
*
r
()
*
Math
.
PI
;
return
t
[
0
]
=
Math
.
cos
(
a
)
*
n
,
t
[
1
]
=
Math
.
sin
(
a
)
*
n
,
t
},
transformMat2
:
function
(
t
,
n
,
a
){
var
r
=
n
[
0
],
u
=
n
[
1
];
return
t
[
0
]
=
a
[
0
]
*
r
+
a
[
2
]
*
u
,
t
[
1
]
=
a
[
1
]
*
r
+
a
[
3
]
*
u
,
t
},
transformMat2d
:
function
(
t
,
n
,
a
){
var
r
=
n
[
0
],
u
=
n
[
1
];
return
t
[
0
]
=
a
[
0
]
*
r
+
a
[
2
]
*
u
+
a
[
4
],
t
[
1
]
=
a
[
1
]
*
r
+
a
[
3
]
*
u
+
a
[
5
],
t
},
transformMat3
:
function
(
t
,
n
,
a
){
var
r
=
n
[
0
],
u
=
n
[
1
];
return
t
[
0
]
=
a
[
0
]
*
r
+
a
[
3
]
*
u
+
a
[
6
],
t
[
1
]
=
a
[
1
]
*
r
+
a
[
4
]
*
u
+
a
[
7
],
t
},
transformMat4
:
function
(
t
,
n
,
a
){
var
r
=
n
[
0
],
u
=
n
[
1
];
return
t
[
0
]
=
a
[
0
]
*
r
+
a
[
4
]
*
u
+
a
[
12
],
t
[
1
]
=
a
[
1
]
*
r
+
a
[
5
]
*
u
+
a
[
13
],
t
},
rotate
:
function
(
t
,
n
,
a
,
r
){
var
u
=
n
[
0
]
-
a
[
0
],
e
=
n
[
1
]
-
a
[
1
],
o
=
Math
.
sin
(
r
),
i
=
Math
.
cos
(
r
);
return
t
[
0
]
=
u
*
i
-
e
*
o
+
a
[
0
],
t
[
1
]
=
u
*
o
+
e
*
i
+
a
[
1
],
t
},
angle
:
function
(
t
,
n
){
var
a
=
t
[
0
],
r
=
t
[
1
],
u
=
n
[
0
],
e
=
n
[
1
],
o
=
a
*
a
+
r
*
r
;
o
>
0
&&
(
o
=
1
/
Math
.
sqrt
(
o
));
var
i
=
u
*
u
+
e
*
e
;
i
>
0
&&
(
i
=
1
/
Math
.
sqrt
(
i
));
var
c
=
(
a
*
u
+
r
*
e
)
*
o
*
i
;
return
c
>
1
?
0
:
c
<-
1
?
Math
.
PI
:
Math
.
acos
(
c
)},
zero
:
function
(
t
){
return
t
[
0
]
=
0
,
t
[
1
]
=
0
,
t
},
str
:
function
(
t
){
return
"
vec2(
"
+
t
[
0
]
+
"
,
"
+
t
[
1
]
+
"
)
"
},
exactEquals
:
function
(
t
,
n
){
return
t
[
0
]
===
n
[
0
]
&&
t
[
1
]
===
n
[
1
]},
equals
:
function
(
t
,
a
){
var
r
=
t
[
0
],
u
=
t
[
1
],
e
=
a
[
0
],
o
=
a
[
1
];
return
Math
.
abs
(
r
-
e
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
r
),
Math
.
abs
(
e
))
&&
Math
.
abs
(
u
-
o
)
<=
n
*
Math
.
max
(
1
,
Math
.
abs
(
u
),
Math
.
abs
(
o
))},
len
:
In
,
sub
:
Sn
,
mul
:
En
,
div
:
On
,
dist
:
Tn
,
sqrDist
:
Dn
,
sqrLen
:
Fn
,
forEach
:
Ln
});
t
.
glMatrix
=
e
,
t
.
mat2
=
s
,
t
.
mat2d
=
b
,
t
.
mat3
=
q
,
t
.
mat4
=
E
,
t
.
quat
=
cn
,
t
.
quat2
=
yn
,
t
.
vec2
=
Vn
,
t
.
vec3
=
$
,
t
.
vec4
=
Pt
,
Object
.
defineProperty
(
t
,
"
__esModule
"
,{
value
:
!
0
})});
This diff is collapsed.
Click to expand it.
index.html
0 → 100644
+
459
−
0
View file @
4c7219ff
<!doctype html>
<html>
<head>
<meta
charset=
"UTF-8"
>
<title>
WebGL Transform Tutorial
</title>
<style>
div
.log
{
position
:
absolute
;
top
:
0
;
right
:
0
;
width
:
512px
;
height
:
100%
;
background-color
:
rgba
(
127
,
127
,
127
,
0.1
);
}
div
.control
{
position
:
fixed
;
top
:
0
;
width
:
100%
;
background-color
:
white
;
}
div
{
float
:
left
;
}
button
.x
{
background-color
:
rgba
(
255
,
128
,
128
,
1.0
);
}
button
.y
{
background-color
:
rgba
(
128
,
255
,
128
,
1.0
);
}
button
.z
{
background-color
:
rgba
(
128
,
128
,
255
,
1.0
);
}
table
{
border-collapse
:
collapse
;
width
:
100%
;
background-color
:
white
;
}
table
,
tr
,
td
{
border
:
1px
solid
black
;
}
</style>
<script
src=
"./gl-matrix-min.js"
></script>
<script>
// WebGL1.0 Tutorial
// CC-NC-BY Kim Haeram
var
gl
;
var
mat4
=
glMatrix
.
mat4
;
function
testGLError
(
functionLastCalled
)
{
var
lastError
=
gl
.
getError
();
if
(
lastError
!=
gl
.
NO_ERROR
)
{
alert
(
functionLastCalled
+
"
failed (
"
+
lastError
+
"
)
"
);
return
false
;
}
return
true
;
}
function
initialiseGL
(
canvas
)
{
try
{
// Try to grab the standard context. If it fails, fallback to experimental
gl
=
canvas
.
getContext
(
"
webgl
"
)
||
canvas
.
getContext
(
"
experimental-webgl
"
);
gl
.
viewport
(
0
,
0
,
canvas
.
width
,
canvas
.
height
);
}
catch
(
e
)
{
}
if
(
!
gl
)
{
alert
(
"
Unable to initialise WebGL. Your browser may not support it
"
);
return
false
;
}
return
true
;
}
var
shaderProgram
;
function
initialiseBuffer
()
{
// Create a texture.
var
texture
=
gl
.
createTexture
();
gl
.
bindTexture
(
gl
.
TEXTURE_2D
,
texture
);
// Fill the texture with a 1x1 blue pixel.
gl
.
texImage2D
(
gl
.
TEXTURE_2D
,
0
,
gl
.
RGBA
,
1
,
1
,
0
,
gl
.
RGBA
,
gl
.
UNSIGNED_BYTE
,
new
Uint8Array
([
0
,
0
,
255
,
255
]));
// Asynchronously load an image
var
image
=
new
Image
();
image
.
src
=
GRID
;
image
.
addEventListener
(
'
load
'
,
function
()
{
// Now that the image has loaded make copy it to the texture.
gl
.
bindTexture
(
gl
.
TEXTURE_2D
,
texture
);
gl
.
texParameteri
(
gl
.
TEXTURE_2D
,
gl
.
TEXTURE_WRAP_S
,
gl
.
REPEAT
);
gl
.
texParameteri
(
gl
.
TEXTURE_2D
,
gl
.
TEXTURE_WRAP_T
,
gl
.
REPEAT
);
gl
.
texImage2D
(
gl
.
TEXTURE_2D
,
0
,
gl
.
RGBA
,
gl
.
RGBA
,
gl
.
UNSIGNED_BYTE
,
image
);
gl
.
generateMipmap
(
gl
.
TEXTURE_2D
);
});
/* vertex attribute: coord XYZ, color RGBA, texcoord XY
x/y/z plane coordinate:
1+---+3
| \ |
0+---+2
using TRIANGLES_STRIP method */
var
vertexData
=
[
0.0
,
0.0
,
0.0
,
1.0
,
0.66
,
0.66
,
0.33
,
0
,
0
,
// x-plane vertex 0
0.0
,
0.0
,
10.0
,
1.0
,
0.66
,
0.66
,
0.33
,
0
,
32
,
// x-plane vertex 1
0.0
,
10.0
,
0.0
,
1.0
,
0.66
,
0.66
,
0.33
,
32
,
0
,
// x-plane vertex 2
0.0
,
10.0
,
10.0
,
1.0
,
0.66
,
0.66
,
0.33
,
32
,
32
,
// x-plane vertex 3
0.0
,
0.0
,
0.0
,
0.66
,
1.0
,
0.66
,
0.33
,
0
,
0
,
// y-plane vertex 0
0.0
,
0.0
,
10.0
,
0.66
,
1.0
,
0.66
,
0.33
,
0
,
32
,
// y-plane vertex 1
10.0
,
0.0
,
0.0
,
0.66
,
1.0
,
0.66
,
0.33
,
32
,
0
,
// y-plane vertex 2
10.0
,
0.0
,
10.0
,
0.66
,
1.0
,
0.66
,
0.33
,
32
,
32
,
// y-plane vertex 3
0.0
,
0.0
,
0.0
,
0.66
,
0.66
,
1.0
,
0.33
,
0
,
0
,
// z-plane vertex 0
0.0
,
10.0
,
0.0
,
0.66
,
0.66
,
1.0
,
0.33
,
0
,
32
,
// z-plane vertex 1
10.0
,
0.0
,
0.0
,
0.66
,
0.66
,
1.0
,
0.33
,
32
,
0
,
// z-plane vertex 2
10.0
,
10.0
,
0.0
,
0.66
,
0.66
,
1.0
,
0.33
,
32
,
32
,
// z-plane vertex 3
// box vertex
-
0.5
,
0.5
,
0.5
,
1.0
,
1.0
,
1.0
,
1.0
,
0.0
,
0.0
,
//3
0.5
,
0.5
,
0.5
,
1.0
,
1.0
,
1.0
,
1.0
,
0.0
,
0.0
,
//1
0.5
,
0.5
,
-
0.5
,
1.0
,
1.0
,
1.0
,
1.0
,
0.0
,
1.0
,
//2
-
0.5
,
0.5
,
0.5
,
1.0
,
1.0
,
1.0
,
1.0
,
0.0
,
0.0
,
//3
0.5
,
0.5
,
-
0.5
,
1.0
,
1.0
,
1.0
,
1.0
,
0.0
,
0.0
,
//2
-
0.5
,
0.5
,
-
0.5
,
1.0
,
1.0
,
1.0
,
1.0
,
0.0
,
0.0
,
//4
0.5
,
0.5
,
-
0.5
,
0.0
,
0.0
,
0.0
,
1.0
,
0.0
,
0.0
,
//2
0.5
,
-
0.5
,
-
0.5
,
0.0
,
0.0
,
0.0
,
1.0
,
0.0
,
0.0
,
//6
-
0.5
,
-
0.5
,
-
0.5
,
0.0
,
0.0
,
0.0
,
1.0
,
0.0
,
0.0
,
//8
-
0.5
,
0.5
,
-
0.5
,
0.0
,
0.0
,
0.0
,
1.0
,
0.0
,
0.0
,
//4
0.5
,
0.5
,
-
0.5
,
0.0
,
0.0
,
0.0
,
1.0
,
0.0
,
0.0
,
//2
-
0.5
,
-
0.5
,
-
0.5
,
0.0
,
0.0
,
0.0
,
1.0
,
0.0
,
0.0
,
//8
0.5
,
-
0.5
,
0.5
,
1.0
,
0.5
,
0.0
,
1.0
,
0.0
,
0.0
,
//5
0.5
,
-
0.5
,
-
0.5
,
1.0
,
0.5
,
0.0
,
1.0
,
0.0
,
0.0
,
//6
0.5
,
0.5
,
-
0.5
,
1.0
,
0.5
,
0.0
,
1.0
,
0.0
,
0.0
,
//2
0.5
,
-
0.5
,
0.5
,
1.0
,
0.5
,
0.0
,
1.0
,
0.0
,
0.0
,
//5
0.5
,
0.5
,
-
0.5
,
1.0
,
0.5
,
0.0
,
1.0
,
0.0
,
0.0
,
//2
0.5
,
0.5
,
0.5
,
1.0
,
0.5
,
0.0
,
1.0
,
0.0
,
0.0
,
//1
-
0.5
,
0.5
,
-
0.5
,
1.0
,
0.0
,
0.0
,
1.0
,
0.0
,
0.0
,
//4
-
0.5
,
-
0.5
,
-
0.5
,
1.0
,
0.0
,
0.0
,
1.0
,
0.0
,
0.0
,
//8
-
0.5
,
-
0.5
,
0.5
,
1.0
,
0.0
,
0.0
,
1.0
,
0.0
,
0.0
,
//7
-
0.5
,
0.5
,
0.5
,
1.0
,
0.0
,
0.0
,
1.0
,
0.0
,
0.0
,
//3
-
0.5
,
0.5
,
-
0.5
,
1.0
,
0.0
,
0.0
,
1.0
,
0.0
,
0.0
,
//4
-
0.5
,
-
0.5
,
0.5
,
1.0
,
0.0
,
0.0
,
1.0
,
0.0
,
0.0
,
//7
-
0.5
,
-
0.5
,
0.5
,
0.0
,
0.0
,
1.0
,
1.0
,
0.0
,
0.0
,
//7
0.5
,
-
0.5
,
0.5
,
0.0
,
0.0
,
1.0
,
1.0
,
0.0
,
0.0
,
//5
0.5
,
0.5
,
0.5
,
0.0
,
0.0
,
1.0
,
1.0
,
0.0
,
0.0
,
//1
-
0.5
,
-
0.5
,
0.5
,
0.0
,
0.0
,
1.0
,
1.0
,
0.0
,
0.0
,
//7
0.5
,
0.5
,
0.5
,
0.0
,
0.0
,
1.0
,
1.0
,
0.0
,
0.0
,
//1
-
0.5
,
0.5
,
0.5
,
0.0
,
0.0
,
1.0
,
1.0
,
0.0
,
0.0
,
//3
0.5
,
-
0.5
,
-
0.5
,
0.0
,
1.0
,
0.0
,
1.0
,
0.0
,
0.0
,
//6
0.5
,
-
0.5
,
0.5
,
0.0
,
1.0
,
0.0
,
1.0
,
0.0
,
0.0
,
//5
-
0.5
,
-
0.5
,
0.5
,
0.0
,
1.0
,
0.0
,
1.0
,
0.0
,
0.0
,
//7
-
0.5
,
-
0.5
,
-
0.5
,
0.0
,
1.0
,
0.0
,
1.0
,
0.0
,
0.0
,
//8
0.5
,
-
0.5
,
-
0.5
,
0.0
,
1.0
,
0.0
,
1.0
,
0.0
,
0.0
,
//6
-
0.5
,
-
0.5
,
0.5
,
0.0
,
1.0
,
0.0
,
1.0
,
0.0
,
0.0
,
//7
// box axis vertex
-
2.0
,
0.0
,
0.0
,
1.0
,
0.0
,
0.0
,
1.0
,
0.0
,
0.0
,
// x-line 0
2.0
,
0.0
,
0.0
,
1.0
,
0.0
,
0.0
,
1.0
,
0.0
,
0.0
,
// x-line 1
0.0
,
-
2.0
,
0.0
,
0.0
,
1.0
,
0.0
,
1.0
,
0.0
,
0.0
,
// y-line 0
0.0
,
2.0
,
0.0
,
0.0
,
1.0
,
0.0
,
1.0
,
0.0
,
0.0
,
// y-line 1
0.0
,
0.0
,
-
2.0
,
0.0
,
0.0
,
1.0
,
1.0
,
0.0
,
0.0
,
// z-line 0
0.0
,
0.0
,
2.0
,
0.0
,
0.0
,
1.0
,
1.0
,
0.0
,
0.0
,
// z-line 1
// arrow head triangle
2.0
,
0.0
,
0.0
,
1.0
,
0.0
,
0.0
,
1.0
,
0.0
,
0.0
,
// x-head 0
1.5
,
0.5
,
0.0
,
1.0
,
0.0
,
0.0
,
1.0
,
0.0
,
0.0
,
// x-head 1
1.5
,
-
0.5
,
0.0
,
1.0
,
0.0
,
0.0
,
1.0
,
0.0
,
0.0
,
// x-head 2
0.0
,
2.0
,
0.0
,
0.0
,
1.0
,
0.0
,
1.0
,
0.0
,
0.0
,
// y-head 0
0.0
,
1.5
,
0.5
,
0.0
,
1.0
,
0.0
,
1.0
,
0.0
,
0.0
,
// y-head 1
0.0
,
1.5
,
-
0.5
,
0.0
,
1.0
,
0.0
,
1.0
,
0.0
,
0.0
,
// y-head 2
0.0
,
0.0
,
2.0
,
0.0
,
0.0
,
1.0
,
1.0
,
0.0
,
0.0
,
// z-head 0
0.5
,
0.0
,
1.5
,
0.0
,
0.0
,
1.0
,
1.0
,
0.0
,
0.0
,
// z-head 1
-
0.5
,
0.0
,
1.5
,
0.0
,
0.0
,
1.0
,
1.0
,
0.0
,
0.0
,
// z-head 2
];
// Generate a buffer object
gl
.
vertexBuffer
=
gl
.
createBuffer
();
// Bind buffer as a vertex buffer so we can fill it with data
gl
.
bindBuffer
(
gl
.
ARRAY_BUFFER
,
gl
.
vertexBuffer
);
gl
.
bufferData
(
gl
.
ARRAY_BUFFER
,
new
Float32Array
(
vertexData
),
gl
.
STATIC_DRAW
);
return
testGLError
(
"
initialiseBuffers
"
);
}
function
initialiseShaders
()
{
var
fragmentShaderSource
=
'
\
varying mediump vec4 color;
\
varying mediump vec2 texCoord;
\
uniform sampler2D sampler2d;
\
void main(void)
\
{
\
gl_FragColor = color + texture2D(sampler2d, texCoord);
\
}
'
;
gl
.
fragShader
=
gl
.
createShader
(
gl
.
FRAGMENT_SHADER
);
gl
.
shaderSource
(
gl
.
fragShader
,
fragmentShaderSource
);
gl
.
compileShader
(
gl
.
fragShader
);
var
vertexShaderSource
=
'
\
attribute highp vec3 myVertex;
\
attribute highp vec4 myColor;
\
attribute highp vec2 myUV;
\
uniform mediump mat4 Pmatrix;
\
uniform mediump mat4 Vmatrix;
\
uniform mediump mat4 Mmatrix;
\
varying mediump vec4 color;
\
varying mediump vec2 texCoord;
\
void main(void)
\
{
\
gl_Position = Pmatrix*Vmatrix*Mmatrix*vec4(myVertex, 1.0);
\
color = myColor;
\
texCoord = myUV;
\
}
'
;
// Create the vertex shader object
gl
.
vertexShader
=
gl
.
createShader
(
gl
.
VERTEX_SHADER
);
// Load the source code into it
gl
.
shaderSource
(
gl
.
vertexShader
,
vertexShaderSource
);
// Compile the source code
gl
.
compileShader
(
gl
.
vertexShader
);
// Check if compilation succeeded
if
(
!
gl
.
getShaderParameter
(
gl
.
vertexShader
,
gl
.
COMPILE_STATUS
))
{
// It didn't. Display the info log as to why
alert
(
"
Failed to compile the vertex shader.
\n
"
+
gl
.
getShaderInfoLog
(
gl
.
vertexShader
));
return
false
;
}
// Create the shader program
gl
.
programObject
=
gl
.
createProgram
();
// Attach the fragment and vertex shaders to it
gl
.
attachShader
(
gl
.
programObject
,
gl
.
fragShader
);
gl
.
attachShader
(
gl
.
programObject
,
gl
.
vertexShader
);
// Bind the custom vertex attribute "myVertex" to location 0
gl
.
bindAttribLocation
(
gl
.
programObject
,
0
,
"
myVertex
"
);
gl
.
bindAttribLocation
(
gl
.
programObject
,
1
,
"
myColor
"
);
gl
.
bindAttribLocation
(
gl
.
programObject
,
2
,
"
myUV
"
);
// Link the program
gl
.
linkProgram
(
gl
.
programObject
);
// Check if linking succeeded in a similar way we checked for compilation errors
if
(
!
gl
.
getProgramParameter
(
gl
.
programObject
,
gl
.
LINK_STATUS
))
{
alert
(
"
Failed to link the program.
\n
"
+
gl
.
getProgramInfoLog
(
gl
.
programObject
));
return
false
;
}
gl
.
useProgram
(
gl
.
programObject
);
return
testGLError
(
"
initialiseShaders
"
);
}
var
proj_matrix
=
mat4
.
create
();
var
mov_matrix
=
mat4
.
create
();
var
view_matrix
=
mat4
.
create
();
var
view_eye
=
[
4
,
4
,
4
];
var
animvalue
=
0
;
var
animstatus
=
true
;
var
seqtext
,
seqpos
;
var
viewX
,
viewY
,
viewZ
,
viewtext
;
const
DEG30
=
30
*
Math
.
PI
/
180
;
mat4
.
perspective
(
proj_matrix
,
180
,
1
,
0
,
10
);
function
reset
(){
mov_matrix
=
mat4
.
create
();
view_eye
=
[
4
,
4
,
4
];
viewX
.
value
=
4
;
viewY
.
value
=
4
;
viewZ
.
value
=
4
;
seqtext
.
innerHTML
=
"
/* initial state */
"
;
seqpos
.
innerHTML
=
"
0.00,0.00,0.00
"
;
viewtext
.
innerHTML
=
"
4,4,4
"
;
}
function
boxRotation
(){
animvalue
=
0
;
animstatus
=
!
animstatus
;
}
function
translateX
(){
mat4
.
translate
(
mov_matrix
,
mov_matrix
,[
1
,
0
,
0
]);
updateLog
(
"
translate([1,0,0]);
"
);
}
function
translateY
(){
mat4
.
translate
(
mov_matrix
,
mov_matrix
,[
0
,
1
,
0
]);
updateLog
(
"
translate([0,1,0]);
"
);
}
function
translateZ
(){
mat4
.
translate
(
mov_matrix
,
mov_matrix
,[
0
,
0
,
1
]);
updateLog
(
"
translate([0,0,1]);
"
);
}
function
translateMinusX
(){
mat4
.
translate
(
mov_matrix
,
mov_matrix
,[
-
1
,
0
,
0
]);
updateLog
(
"
translate([-1,0,0]);
"
);
}
function
translateMinusY
(){
mat4
.
translate
(
mov_matrix
,
mov_matrix
,[
0
,
-
1
,
0
]);
updateLog
(
"
translate([0,-1,0]);
"
);
}
function
translateMinusZ
(){
mat4
.
translate
(
mov_matrix
,
mov_matrix
,[
0
,
0
,
-
1
]);
updateLog
(
"
translate([0,0,-1]);
"
);
}
function
rotateX
(){
mat4
.
rotateX
(
mov_matrix
,
mov_matrix
,
DEG30
);
updateLog
(
"
rotateX(30deg);
"
);
}
function
rotateY
(){
mat4
.
rotateY
(
mov_matrix
,
mov_matrix
,
DEG30
);
updateLog
(
"
rotateY(30deg);
"
);
}
function
rotateZ
(){
mat4
.
rotateZ
(
mov_matrix
,
mov_matrix
,
DEG30
);
updateLog
(
"
rotateZ(30deg);
"
);
}
function
rotateMinusX
(){
mat4
.
rotateX
(
mov_matrix
,
mov_matrix
,
-
DEG30
);
updateLog
(
"
rotateX(-30deg);
"
);
}
function
rotateMinusY
(){
mat4
.
rotateY
(
mov_matrix
,
mov_matrix
,
-
DEG30
);
updateLog
(
"
rotateY(-30deg);
"
);
}
function
rotateMinusZ
(){
mat4
.
rotateZ
(
mov_matrix
,
mov_matrix
,
-
DEG30
);
updateLog
(
"
rotateY(-30deg);
"
);
}
function
scaleUp
(){
mat4
.
scale
(
mov_matrix
,
mov_matrix
,[
1.33
,
1.33
,
1.33
]);
updateLog
(
"
scale(1.33);
"
);
}
function
scaleDown
(){
mat4
.
scale
(
mov_matrix
,
mov_matrix
,[
0.75
,
0.75
,
0.75
]);
updateLog
(
"
scale(0.75);
"
);
}
function
updateLog
(
t
){
var
pos
=
[
mov_matrix
[
12
],
mov_matrix
[
13
],
mov_matrix
[
14
]].
map
(
i
=>
i
.
toFixed
(
2
));
seqtext
.
innerHTML
+=
"
<br>
"
+
t
;
seqpos
.
innerHTML
+=
"
<br>
"
+
pos
;
}
function
renderScene
()
{
gl
.
enable
(
gl
.
DEPTH_TEST
);
gl
.
depthFunc
(
gl
.
LEQUAL
);
gl
.
enable
(
gl
.
BLEND
);
gl
.
blendFunc
(
gl
.
SRC_ALPHA
,
gl
.
DST_ALPHA
);
gl
.
blendEquation
(
gl
.
FUNC_ADD
);
gl
.
clearColor
(
0
,
0
,
0
,
1
);
gl
.
clear
(
gl
.
COLOR_BUFFER_BIT
);
mat4
.
lookAt
(
view_matrix
,
view_eye
,[
0
,
0
,
0
],[
0
,
0
,
-
1
]);
var
LocPmatrix
=
gl
.
getUniformLocation
(
gl
.
programObject
,
"
Pmatrix
"
);
var
LocVmatrix
=
gl
.
getUniformLocation
(
gl
.
programObject
,
"
Vmatrix
"
);
var
LocMmatrix
=
gl
.
getUniformLocation
(
gl
.
programObject
,
"
Mmatrix
"
);
gl
.
uniformMatrix4fv
(
LocPmatrix
,
gl
.
FALSE
,
proj_matrix
);
gl
.
uniformMatrix4fv
(
LocVmatrix
,
gl
.
FALSE
,
view_matrix
);
gl
.
uniformMatrix4fv
(
LocMmatrix
,
gl
.
FALSE
,
mat4
.
create
());
if
(
!
testGLError
(
"
gl.uniformMatrix4fv
"
))
{
return
false
;
}
gl
.
enableVertexAttribArray
(
0
);
gl
.
vertexAttribPointer
(
0
,
3
,
gl
.
FLOAT
,
gl
.
FALSE
,
36
,
0
);
gl
.
enableVertexAttribArray
(
1
);
gl
.
vertexAttribPointer
(
1
,
4
,
gl
.
FLOAT
,
gl
.
FALSE
,
36
,
12
);
gl
.
enableVertexAttribArray
(
2
);
gl
.
vertexAttribPointer
(
2
,
2
,
gl
.
FLOAT
,
gl
.
FALSE
,
36
,
28
);
if
(
!
testGLError
(
"
gl.vertexAttribPointer
"
))
{
return
false
;
}
gl
.
drawArrays
(
gl
.
TRIANGLE_STRIP
,
0
,
4
);
// x-plane
gl
.
drawArrays
(
gl
.
TRIANGLE_STRIP
,
4
,
4
);
// y-plane
gl
.
drawArrays
(
gl
.
TRIANGLE_STRIP
,
8
,
4
);
// z-plane
gl
.
uniformMatrix4fv
(
LocMmatrix
,
gl
.
FALSE
,
mov_matrix
);
if
(
!
testGLError
(
"
gl.vertexAttribPointer
"
))
{
return
false
;
}
gl
.
drawArrays
(
gl
.
LINES
,
48
,
6
);
// box lines
gl
.
drawArrays
(
gl
.
TRIANGLES
,
54
,
9
);
// line arrow heads
if
(
animstatus
){
var
t
=
1
+
((
Math
.
cos
(
animvalue
)
+
1
)
/
2
)
*
0.1
;
gl
.
uniformMatrix4fv
(
LocMmatrix
,
gl
.
FALSE
,
mat4
.
scale
(
mat4
.
create
(),
mov_matrix
,[
t
,
t
,
t
]));
if
(
!
testGLError
(
"
gl.vertexAttribPointer
"
))
{
return
false
;
}
animvalue
+=
0.1
;
}
gl
.
drawArrays
(
gl
.
TRIANGLES
,
12
,
36
);
// box
return
true
;
}
function
main
()
{
var
canvas
=
document
.
getElementById
(
"
helloapicanvas
"
);
seqtext
=
document
.
getElementById
(
"
seqtext
"
);
seqpos
=
document
.
getElementById
(
"
seqpos
"
);
viewX
=
document
.
getElementById
(
"
viewX
"
);
viewY
=
document
.
getElementById
(
"
viewY
"
);
viewZ
=
document
.
getElementById
(
"
viewZ
"
);
viewtext
=
document
.
getElementById
(
"
viewtext
"
);
viewX
.
oninput
=
()
=>
{
view_eye
[
0
]
=
viewX
.
value
;
viewtext
.
innerHTML
=
view_eye
;
};
viewY
.
oninput
=
()
=>
{
view_eye
[
1
]
=
viewY
.
value
;
viewtext
.
innerHTML
=
view_eye
;
};
viewZ
.
oninput
=
()
=>
{
view_eye
[
2
]
=
viewZ
.
value
;
viewtext
.
innerHTML
=
view_eye
;
};
if
(
!
initialiseGL
(
canvas
))
{
return
;
}
if
(
!
initialiseBuffer
())
{
return
;
}
if
(
!
initialiseShaders
())
{
return
;
}
// Render loop
requestAnimFrame
=
(
function
()
{
return
window
.
requestAnimationFrame
||
window
.
webkitRequestAnimationFrame
||
window
.
mozRequestAnimationFrame
||
function
(
callback
)
{
window
.
setTimeout
(
callback
,
1000
,
60
);
};
})();
(
function
renderLoop
()
{
if
(
renderScene
())
{
// Everything was successful, request that we redraw our scene again in the future
requestAnimFrame
(
renderLoop
);
}
})();
}
const
GRID
=
"
data:image/png;base64,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
"
;
</script>
</head>
<body
onload=
"main()"
>
<div
class=
"control"
>
<h2>
WebGL Transform Tutorial
</h2>
<p>
<button
onclick=
"reset()"
>
Reset
</button>
<button
onclick=
"boxRotation()"
>
Animation
</button><br>
<button
class=
"x"
onclick=
"translateX()"
>
TranslateX +1.0
</button>
<button
class=
"y"
onclick=
"translateY()"
>
TranslateY +1.0
</button>
<button
class=
"z"
onclick=
"translateZ()"
>
TranslateZ +1.0
</button>
<button
class=
"x"
onclick=
"rotateX()"
>
RotateX +30deg
</button>
<button
class=
"y"
onclick=
"rotateY()"
>
RotateY +30deg
</button>
<button
class=
"z"
onclick=
"rotateZ()"
>
RotateZ +30deg
</button>
<button
onclick=
"scaleUp()"
>
Scale *1.33
</button><br>
<button
class=
"x"
onclick=
"translateMinusX()"
>
TranslateX -1.0
</button>
<button
class=
"y"
onclick=
"translateMinusY()"
>
TranslateY -1.0
</button>
<button
class=
"z"
onclick=
"translateMinusZ()"
>
TranslateZ -1.0
</button>
<button
class=
"x"
onclick=
"rotateMinusX()"
>
RotateX -30deg
</button>
<button
class=
"y"
onclick=
"rotateMinusY()"
>
RotateY -30deg
</button>
<button
class=
"z"
onclick=
"rotateMinusZ()"
>
RotateZ -30deg
</button>
<button
onclick=
"scaleDown()"
>
Scale *0.75
</button><br>
eye_matrix of View matrix:
<input
id=
"viewX"
type=
"range"
min=
"1"
max=
"6"
step=
"0.1"
value=
"4"
>
<input
id=
"viewY"
type=
"range"
min=
"1"
max=
"6"
step=
"0.1"
value=
"4"
>
<input
id=
"viewZ"
type=
"range"
min=
"1"
max=
"6"
step=
"0.1"
value=
"4"
>
[x,y,z]=[
<span
id=
"viewtext"
>
4,4,4
</span>
]
</p>
<p>
(CC-NC-BY) 2019 Haeram Kim
</p>
<div>
<canvas
id=
"helloapicanvas"
style=
"border: none;"
width=
"500"
height=
"500"
></canvas>
</div>
<div><p>
Red plane: x-plane, Red arrow: x-axis
<br>
Green plane: y-plane, Green arrow: y-axis
<br>
Blue plnae: z-plane, Blue arrow: z-axis
</p>
<p>
TranslateX: cube move with
<b>
red
</b>
arrow direction
<br>
TranslateY: cube move with
<b>
green
</b>
arrow direction
<br>
TranslateZ: cube move with
<b>
blue
</b>
arrow direction
<br>
RotateX: cube rotate with
<b>
red
</b>
arrow axis anti-clockwise
<br>
RotateY: cube rotate with
<b>
green
</b>
arrow axis anti-clockwise
<br>
RotateZ: cube rotate with
<b>
blue
</b>
arrow axis anti-clockwise
<br>
Scale: scale up/down cube size
<br>
(will also scaling arrow size, which means will also scaling translate power)
</p>
<p>
Notice that position will be change whether do the same transforms but in difference sequences.
</p>
</div>
<div
class=
"log"
>
Log:
<table>
<tr><td>
Sequence
<td>
Position
</tr>
<tr><td
id=
"seqtext"
>
/* initial state */
<td
id=
"seqpos"
>
0.00,0.00,0.00
</tr>
</table>
</div>
</div>
</body>
</html>
\ No newline at end of file
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