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_base.js
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/*
Copyright (c) 2004-2009, The Dojo Foundation All Rights Reserved.
Available via Academic Free License >= 2.1 OR the modified BSD license.
see: http://dojotoolkit.org/license for details
*/
if
(
!
dojo
.
_hasResource
[
"dojox.math._base"
]){
dojo
.
_hasResource
[
"dojox.math._base"
]
=
true
;
dojo
.
provide
(
"dojox.math._base"
);
(
function
(){
var
m
=
dojox
.
math
;
dojo
.
mixin
(
dojox
.
math
,{
toRadians
:
function
(
n
){
return
(
n
*
Math
.
PI
)
/
180
;
},
toDegrees
:
function
(
n
){
return
(
n
*
180
)
/
Math
.
PI
;
},
degreesToRadians
:
function
(
n
){
return
m
.
toRadians
(
n
);
},
radiansToDegrees
:
function
(
n
){
return
m
.
toDegrees
(
n
);
},
factorial
:
function
(
n
){
if
(
n
===
0
){
return
1
;
}
else
{
if
(
n
<
0
||
Math
.
floor
(
n
)
!=
n
){
return
NaN
;
}
}
var
_1
=
1
;
for
(
var
i
=
1
;
i
<=
n
;
i
++
){
_1
*=
i
;
}
return
_1
;
},
permutations
:
function
(
n
,
k
){
if
(
n
==
0
||
k
==
0
){
return
1
;
}
return
this
.
factorial
(
n
)
/
this
.
factorial
(
n
-
k
);
},
combinations
:
function
(
n
,
r
){
if
(
n
==
0
||
r
==
0
){
return
1
;
}
return
this
.
factorial
(
n
)
/
(
this
.
factorial
(
n
-
r
)
*
this
.
factorial
(
r
));
},
bernstein
:
function
(
t
,
n
,
i
){
return
this
.
combinations
(
n
,
i
)
*
Math
.
pow
(
t
,
i
)
*
Math
.
pow
(
1
-
t
,
n
-
i
);
},
gaussian
:
function
(){
var
k
=
2
;
do
{
var
i
=
2
*
Math
.
random
()
-
1
;
var
j
=
2
*
Math
.
random
()
-
1
;
k
=
i
*
i
+
j
*
j
;
}
while
(
k
>=
1
);
return
i
*
Math
.
sqrt
((
-
2
*
Math
.
log
(
k
))
/
k
);
},
range
:
function
(
a
,
b
,
_2
){
if
(
arguments
.
length
<
2
){
b
=
a
,
a
=
0
;
}
var
_3
=
[],
s
=
_2
||
1
,
i
;
if
(
s
>
0
){
for
(
i
=
a
;
i
<
b
;
i
+=
s
){
_3
.
push
(
i
);
}
}
else
{
if
(
s
<
0
){
for
(
i
=
a
;
i
>
b
;
i
+=
s
){
_3
.
push
(
i
);
}
}
else
{
throw
new
Error
(
"dojox.math.range: step must not be zero."
);
}
}
return
_3
;
},
distance
:
function
(
a
,
b
){
return
Math
.
sqrt
(
Math
.
pow
(
b
[
0
]
-
a
[
0
],
2
)
+
Math
.
pow
(
b
[
1
]
-
a
[
1
],
2
));
},
midpoint
:
function
(
a
,
b
){
if
(
a
.
length
!=
b
.
length
){
console
.
error
(
"dojox.math.midpoint: Points A and B are not the same dimensionally."
,
a
,
b
);
}
var
m
=
[];
for
(
var
i
=
0
;
i
<
a
.
length
;
i
++
){
m
[
i
]
=
(
a
[
i
]
+
b
[
i
])
/
2
;
}
return
m
;
}});
})();
}
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