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Xulijie Li
MathsEngine
Commits
41013d65
Commit
41013d65
authored
Nov 10, 2020
by
BlackAngle233
Browse files
11.10 update
parent
b23a6173
Changes
19
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MRTK test/Assets/Prefabs/Ellipse.prefab
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b23a6173
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MRTK test/Assets/Scenes/SampleScene.unity
View file @
41013d65
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MRTK test/Assets/Scripts/Calculator2D.cs
0 → 100644
View file @
41013d65
using
System
;
using
System.Collections
;
using
System.Collections.Generic
;
using
UnityEngine
;
public
class
Calculator2D
{
public
static
float
x
;
public
float
getNum
(
string
s
,
ref
int
index
)
{
bool
end
=
false
;
string
num
=
""
;
while
(!
end
&&
index
<
s
.
Length
)
{
if
((
s
[
index
]
>=
'0'
&&
s
[
index
]
<=
'9'
)
||
s
[
index
]
==
'.'
)
{
num
+=
s
[
index
];
index
++;
}
else
break
;
}
index
--;
return
float
.
Parse
(
num
);
}
//'('-0, '+-'-1,'*/'-2,'sct^l'-3
private
bool
calculateStack
(
int
prior
,
ref
Stack
<
float
>
numstack
,
ref
Stack
<
char
>
opstack
)
{
while
(
opstack
.
Count
>
0
)
{
char
operater
=
opstack
.
Peek
();
float
num1
;
float
num2
;
switch
(
operater
)
{
case
'+'
:
if
(
prior
==
1
||
prior
==
2
)
return
true
;
opstack
.
Pop
();
num1
=
numstack
.
Peek
();
numstack
.
Pop
();
num2
=
numstack
.
Peek
();
numstack
.
Pop
();
numstack
.
Push
(
num2
+
num1
);
break
;
case
'-'
:
if
(
prior
==
1
||
prior
==
2
)
return
true
;
opstack
.
Pop
();
num1
=
numstack
.
Peek
();
numstack
.
Pop
();
num2
=
numstack
.
Peek
();
numstack
.
Pop
();
numstack
.
Push
(
num2
-
num1
);
break
;
case
'*'
:
if
(
prior
==
2
)
return
true
;
opstack
.
Pop
();
num1
=
numstack
.
Peek
();
numstack
.
Pop
();
num2
=
numstack
.
Peek
();
numstack
.
Pop
();
numstack
.
Push
(
num2
*
num1
);
break
;
case
'/'
:
if
(
prior
==
2
)
return
true
;
opstack
.
Pop
();
num1
=
numstack
.
Peek
();
numstack
.
Pop
();
if
(
num1
==
0
)
return
false
;
num2
=
numstack
.
Peek
();
numstack
.
Pop
();
numstack
.
Push
(
num2
/
num1
);
break
;
case
'('
:
if
(
prior
==
0
)
opstack
.
Pop
();
return
true
;
case
's'
:
opstack
.
Pop
();
num1
=
numstack
.
Peek
();
numstack
.
Pop
();
numstack
.
Push
(
Mathf
.
Sin
(
num1
));
break
;
case
'c'
:
opstack
.
Pop
();
num1
=
numstack
.
Peek
();
numstack
.
Pop
();
numstack
.
Push
(
Mathf
.
Cos
(
num1
));
break
;
case
't'
:
opstack
.
Pop
();
num1
=
numstack
.
Peek
();
numstack
.
Pop
();
numstack
.
Push
(
Mathf
.
Tan
(
num1
));
break
;
case
'^'
:
opstack
.
Pop
();
num1
=
numstack
.
Peek
();
numstack
.
Pop
();
num2
=
numstack
.
Peek
();
numstack
.
Pop
();
numstack
.
Push
(
Mathf
.
Pow
(
num2
,
num1
));
break
;
case
'l'
:
opstack
.
Pop
();
num1
=
numstack
.
Peek
();
numstack
.
Pop
();
if
(
num1
<=
0
)
return
false
;
num2
=
numstack
.
Peek
();
numstack
.
Pop
();
if
(
num2
<=
0
||
num2
==
1
)
return
false
;
numstack
.
Push
(
Mathf
.
Log
(
num1
,
num2
));
break
;
default
:
break
;
}
}
return
true
;
}
public
bool
calculate2D
(
string
s
,
float
xIn
,
out
float
yOut
)
{
x
=
xIn
;
yOut
=
0
;
Stack
<
char
>
opstack
=
new
Stack
<
char
>();
Stack
<
float
>
numstack
=
new
Stack
<
float
>();
int
length
=
s
.
Length
;
int
index
;
char
peek
;
for
(
index
=
0
;
index
<
length
;
++
index
)
{
if
(
s
[
index
]
==
'+'
||
s
[
index
]
==
'-'
)
{
if
(
index
==
0
)
{
s
=
"0"
+
s
;
length
++;
}
else
{
if
(
s
[
index
-
1
]
==
'('
)
{
s
.
Insert
(
index
-
1
,
"0"
);
length
++;
}
}
}
}
index
=
0
;
while
(
index
<
length
)
{
Debug
.
Log
(
s
[
index
]);
switch
(
s
[
index
])
{
case
'0'
:
case
'1'
:
case
'2'
:
case
'3'
:
case
'4'
:
case
'5'
:
case
'6'
:
case
'7'
:
case
'8'
:
case
'9'
:
numstack
.
Push
(
getNum
(
s
,
ref
index
));
break
;
case
'x'
:
numstack
.
Push
(
x
);
break
;
case
'('
:
opstack
.
Push
(
'('
);
break
;
case
')'
:
if
(!
calculateStack
(
0
,
ref
numstack
,
ref
opstack
))
return
false
;
break
;
case
'+'
:
if
(
opstack
.
Count
!=
0
)
{
peek
=
opstack
.
Peek
();
if
(
peek
!=
'+'
&&
peek
!=
'-'
)
{
if
(!
calculateStack
(
1
,
ref
numstack
,
ref
opstack
))
return
false
;
}
}
opstack
.
Push
(
'+'
);
break
;
case
'-'
:
if
(
opstack
.
Count
!=
0
)
{
peek
=
opstack
.
Peek
();
if
(
peek
!=
'+'
&&
peek
!=
'-'
)
{
if
(!
calculateStack
(
1
,
ref
numstack
,
ref
opstack
))
return
false
;
}
}
opstack
.
Push
(
'-'
);
break
;
case
'*'
:
if
(
opstack
.
Count
!=
0
)
{
peek
=
opstack
.
Peek
();
if
(
peek
!=
'+'
&&
peek
!=
'-'
&&
peek
!=
'*'
&&
peek
!=
'/'
)
{
if
(!
calculateStack
(
2
,
ref
numstack
,
ref
opstack
))
return
false
;
}
}
opstack
.
Push
(
'*'
);
break
;
case
'/'
:
if
(
opstack
.
Count
!=
0
)
{
peek
=
opstack
.
Peek
();
if
(
peek
!=
'+'
&&
peek
!=
'-'
&&
peek
!=
'*'
&&
peek
!=
'/'
)
{
if
(!
calculateStack
(
2
,
ref
numstack
,
ref
opstack
))
return
false
;
}
}
opstack
.
Push
(
'/'
);
break
;
case
's'
:
if
(
s
[
index
+
1
]
==
'i'
&&
s
[
index
+
2
]
==
'n'
&&
s
[
index
+
3
]
==
'('
)
{
opstack
.
Push
(
's'
);
opstack
.
Push
(
'('
);
index
+=
3
;
}
break
;
case
'c'
:
if
(
s
[
index
+
1
]
==
'o'
&&
s
[
index
+
2
]
==
's'
&&
s
[
index
+
3
]
==
'('
)
{
opstack
.
Push
(
'c'
);
opstack
.
Push
(
'('
);
index
+=
3
;
}
break
;
case
't'
:
if
(
s
[
index
+
1
]
==
'a'
&&
s
[
index
+
2
]
==
'n'
&&
s
[
index
+
3
]
==
'('
)
{
opstack
.
Push
(
't'
);
opstack
.
Push
(
'('
);
index
+=
3
;
}
break
;
case
'^'
:
opstack
.
Push
(
'^'
);
break
;
case
'l'
:
if
(
s
[
index
+
1
]
==
'o'
&&
s
[
index
+
2
]
==
'g'
&&
s
[
index
+
3
]
==
'('
)
{
opstack
.
Push
(
'l'
);
opstack
.
Push
(
'('
);
index
+=
3
;
}
break
;
default
:
break
;
}
index
++;
}
while
(
opstack
.
Count
>
0
)
{
calculateStack
(
3
,
ref
numstack
,
ref
opstack
);
}
yOut
=
numstack
.
Peek
();
return
true
;
}
}
MRTK test/Assets/Scripts/Calculator3D.cs
0 → 100644
View file @
41013d65
using
System
;
using
System.Collections
;
using
System.Collections.Generic
;
using
UnityEngine
;
public
class
Calculator3D
{
public
static
float
x
;
public
static
float
y
;
public
float
getNum
(
string
s
,
ref
int
index
)
{
bool
end
=
false
;
string
num
=
""
;
while
(!
end
&&
index
<
s
.
Length
)
{
if
((
s
[
index
]
>=
'0'
&&
s
[
index
]
<=
'9'
)
||
s
[
index
]
==
'.'
)
{
num
+=
s
[
index
];
index
++;
}
else
break
;
}
index
--;
return
float
.
Parse
(
num
);
}
//'('-0, '+-'-1,'*/'-2,'sct^l'-3
private
bool
calculateStack
(
int
prior
,
ref
Stack
<
float
>
numstack
,
ref
Stack
<
char
>
opstack
)
{
while
(
opstack
.
Count
>
0
)
{
char
operater
=
opstack
.
Peek
();
float
num1
;
float
num2
;
switch
(
operater
)
{
case
'+'
:
if
(
prior
==
1
||
prior
==
2
)
return
true
;
opstack
.
Pop
();
num1
=
numstack
.
Peek
();
numstack
.
Pop
();
num2
=
numstack
.
Peek
();
numstack
.
Pop
();
numstack
.
Push
(
num2
+
num1
);
break
;
case
'-'
:
if
(
prior
==
1
||
prior
==
2
)
return
true
;
opstack
.
Pop
();
num1
=
numstack
.
Peek
();
numstack
.
Pop
();
num2
=
numstack
.
Peek
();
numstack
.
Pop
();
numstack
.
Push
(
num2
-
num1
);
break
;
case
'*'
:
if
(
prior
==
2
)
return
true
;
opstack
.
Pop
();
num1
=
numstack
.
Peek
();
numstack
.
Pop
();
num2
=
numstack
.
Peek
();
numstack
.
Pop
();
numstack
.
Push
(
num2
*
num1
);
break
;
case
'/'
:
if
(
prior
==
2
)
return
true
;
opstack
.
Pop
();
num1
=
numstack
.
Peek
();
numstack
.
Pop
();
if
(
num1
==
0
)
return
false
;
num2
=
numstack
.
Peek
();
numstack
.
Pop
();
numstack
.
Push
(
num2
/
num1
);
break
;
case
'('
:
if
(
prior
==
0
)
opstack
.
Pop
();
return
true
;
case
's'
:
opstack
.
Pop
();
num1
=
numstack
.
Peek
();
numstack
.
Pop
();
numstack
.
Push
(
Mathf
.
Sin
(
num1
));
break
;
case
'c'
:
opstack
.
Pop
();
num1
=
numstack
.
Peek
();
numstack
.
Pop
();
numstack
.
Push
(
Mathf
.
Cos
(
num1
));
break
;
case
't'
:
opstack
.
Pop
();
num1
=
numstack
.
Peek
();
numstack
.
Pop
();
numstack
.
Push
(
Mathf
.
Tan
(
num1
));
break
;
case
'^'
:
opstack
.
Pop
();
num1
=
numstack
.
Peek
();
numstack
.
Pop
();
num2
=
numstack
.
Peek
();
numstack
.
Pop
();
numstack
.
Push
(
Mathf
.
Pow
(
num2
,
num1
));
break
;
case
'l'
:
opstack
.
Pop
();
num1
=
numstack
.
Peek
();
numstack
.
Pop
();
if
(
num1
<=
0
)
return
false
;
num2
=
numstack
.
Peek
();
numstack
.
Pop
();
if
(
num2
<=
0
||
num2
==
1
)
return
false
;
numstack
.
Push
(
Mathf
.
Log
(
num1
,
num2
));
break
;
default
:
break
;
}
}
return
true
;
}
public
bool
calculate3D
(
string
s
,
float
xIn
,
float
yIn
,
out
float
zOut
)
{
x
=
xIn
;
y
=
yIn
;
zOut
=
0
;
Stack
<
char
>
opstack
=
new
Stack
<
char
>();
Stack
<
float
>
numstack
=
new
Stack
<
float
>();
int
length
=
s
.
Length
;
int
index
;
char
peek
;
for
(
index
=
0
;
index
<
length
;
++
index
)
{
if
(
s
[
index
]
==
'+'
||
s
[
index
]
==
'-'
)
{
if
(
index
==
0
)
{
s
=
"0"
+
s
;
length
++;
}
else
{
if
(
s
[
index
-
1
]
==
'('
)
{
s
.
Insert
(
index
-
1
,
"0"
);
length
++;
}
}
}
}
index
=
0
;
while
(
index
<
length
)
{
switch
(
s
[
index
])
{
case
'0'
:
case
'1'
:
case
'2'
:
case
'3'
:
case
'4'
:
case
'5'
:
case
'6'
:
case
'7'
:
case
'8'
:
case
'9'
:
numstack
.
Push
(
getNum
(
s
,
ref
index
));
break
;
case
'x'
:
numstack
.
Push
(
x
);
break
;
case
'y'
:
numstack
.
Push
(
y
);
break
;
case
'('
:
opstack
.
Push
(
'('
);
break
;
case
')'
:
if
(!
calculateStack
(
0
,
ref
numstack
,
ref
opstack
))
return
false
;
break
;
case
'+'
:
if
(
opstack
.
Count
!=
0
)
{
peek
=
opstack
.
Peek
();
if
(
peek
!=
'+'
&&
peek
!=
'-'
)
{
if
(!
calculateStack
(
1
,
ref
numstack
,
ref
opstack
))
return
false
;
}
}
opstack
.
Push
(
'+'
);
break
;
case
'-'
:
if
(
opstack
.
Count
!=
0
)
{
peek
=
opstack
.
Peek
();
if
(
peek
!=
'+'
&&
peek
!=
'-'
)
{
if
(!
calculateStack
(
1
,
ref
numstack
,
ref
opstack
))
return
false
;
}
}
opstack
.
Push
(
'-'
);
break
;
case
'*'
:
if
(
opstack
.
Count
!=
0
)
{
peek
=
opstack
.
Peek
();
if
(
peek
!=
'+'
&&
peek
!=
'-'
&&
peek
!=
'*'
&&
peek
!=
'/'
)
{
if
(!
calculateStack
(
2
,
ref
numstack
,
ref
opstack
))
return
false
;
}
}
opstack
.
Push
(
'*'
);
break
;
case
'/'
:
if
(
opstack
.
Count
!=
0
)
{
peek
=
opstack
.
Peek
();
if
(
peek
!=
'+'
&&
peek
!=
'-'
&&
peek
!=
'*'
&&
peek
!=
'/'
)
{
if
(!
calculateStack
(
2
,
ref
numstack
,
ref
opstack
))
return
false
;
}
}
opstack
.
Push
(
'/'
);
break
;
case
's'
:
if
(
s
[
index
+
1
]
==
'i'
&&
s
[
index
+
2
]
==
'n'
&&
s
[
index
+
3
]
==
'('
)
{
opstack
.
Push
(
's'
);
opstack
.
Push
(
'('
);
index
+=
3
;
}
break
;
case
'c'
:
if
(
s
[
index
+
1
]
==
'o'
&&
s
[
index
+
2
]
==
's'
&&
s
[
index
+
3
]
==
'('
)
{
opstack
.
Push
(
'c'
);
opstack
.
Push
(
'('
);
index
+=
3
;
}
break
;
case
't'
:
if
(
s
[
index
+
1
]
==
'a'
&&
s
[
index
+
2
]
==
'n'
&&
s
[
index
+
3
]
==
'('
)
{
opstack
.
Push
(
't'
);
opstack
.
Push
(
'('
);
index
+=
3
;
}
break
;
case
'^'
:
opstack
.
Push
(
'^'
);
break
;
case
'l'
:
if
(
s
[
index
+
1
]
==
'o'
&&
s
[
index
+
2
]
==
'g'
&&
s
[
index
+
3
]
==
'('
)
{
opstack
.
Push
(
'l'
);
opstack
.
Push
(
'('
);
index
+=
3
;
}
break
;
default
:
break
;
}
index
++;
}
while
(
opstack
.
Count
>
0
)
{
calculateStack
(
3
,
ref
numstack
,
ref
opstack
);
}
zOut
=
numstack
.
Peek
();
//Debug.Log(x.ToString() + "," + y.ToString() + "=" + zOut.ToString());
return
true
;
}
}
MRTK test/Assets/Scripts/Functions/Customized.cs
0 → 100644
View file @
41013d65
using
System.Collections
;
using
System.Collections.Generic
;
using
UnityEngine
;
public
class
Customized
:
MonoBehaviour
{
Mesh
mesh
;
Calculator2D
calculator2D
;
public
string
formula
;
public
int
minX
;
public
int
maxX
;
// Start is called before the first frame update
void
Start
()
{
mesh
=
new
Mesh
{
name
=
"Customized"
};
calculator2D
=
new
Calculator2D
();
}
// Update is called once per frame
void
Update
()
{
}
public
void
DrawCustomized
()
{
mesh
.
Clear
();
bool
isContinue
=
false
;
Vector3
[]
vectors
=
new
Vector3
[
100
*
(
maxX
-
minX
)
+
1
];
int
[]
triangle
=
new
int
[
100
*
(
maxX
-
minX
)
*
2
];
int
k
=
0
;
float
step
=
0.01f
;
for
(
float
i
=
minX
;
i
<=
maxX
+
0.01f
;
i
+=
step
)
{
float
y
=
0
;
if
(
calculator2D
.
calculate2D
(
formula
,
i
,
out
y
))
{
vectors
[
k
]
=
new
Vector3
(
i
,
y
,
0
);
if
(
isContinue
)
{
triangle
[
2
*
(
k
-
1
)]
=
k
-
1
;
triangle
[
2
*
(
k
-
1
)
+
1
]
=
k
;
}
else
{
triangle
[
2
*
(
k
-
1
)]
=
k
;
triangle
[
2
*
(
k
-
1
)
+
1
]
=
k
;
}
isContinue
=
true
;
}
else
{
if
(
k
!=
0
)
vectors
[
k
]
=
vectors
[
k
-
1
];
else
vectors
[
k
]
=
new
Vector3
(
0
,
0
,
-
1000
);
isContinue
=
false
;
}
k
++;
}
mesh
.
vertices
=
vectors
;
mesh
.
SetIndices
(
triangle
,
MeshTopology
.
Lines
,
0
);
GetComponent
<
MeshFilter
>().
mesh
=
mesh
;
}
}
MRTK test/Assets/Scripts/Functions/Ellipse.cs
0 → 100644
View file @
41013d65
using
System.Collections
;
using
System.Collections.Generic
;
using
UnityEngine
;
public
class
Ellipse
:
MonoBehaviour
{
Mesh
mesh
;
public
Vector3
center
;
public
float
a
;
public
float
b
;
// Start is called before the first frame update
void
Start
()
{
mesh
=
new
Mesh
{
name
=
"Ellipse"
};
}
// Update is called once per frame
void
Update
()
{
}
public
void
DrawEllipse
()
{
mesh
.
Clear
();
Vector3
[]
vectors
=
new
Vector3
[
200
];
int
k
=
0
;
float
step
=
a
/
50
;
for
(
float
i
=
-
a
;
i
<=
a
;
i
+=
step
)
{
float
y
=
1
-
i
*
i
/
(
a
*
a
);
y
*=
(
b
*
b
);
y
=
Mathf
.
Sqrt
(
y
);
vectors
[
k
]
=
new
Vector3
(
i
,
y
,
0
);
if
(
y
!=
0
)
{
vectors
[
200
-
k
]
=
new
Vector3
(
i
,
-
y
,
0
);
}
k
++;
}
mesh
.
vertices
=
vectors
;
int
[]
triangle
=
new
int
[
400
];
for
(
int
i
=
0
;
i
<
vectors
.
Length
-
1
;
++
i
)
{
triangle
[
2
*
i
]
=
i
;
triangle
[
2
*
i
+
1
]
=
i
+
1
;
}
triangle
[
398
]
=
199
;
triangle
[
399
]
=
0
;
mesh
.
SetIndices
(
triangle
,
MeshTopology
.
Lines
,
0
);
GetComponent
<
MeshFilter
>().
mesh
=
mesh
;
}
}
MRTK test/Assets/Scripts/Functions/Exponential.cs
0 → 100644
View file @
41013d65
using
System.Collections
;
using
System.Collections.Generic
;
using
UnityEngine
;
public
class
Exponential
:
MonoBehaviour
{
Mesh
mesh
;
public
int
minX
;
public
int
maxX
;
public
float
factor
;
public
float
c
;
// Start is called before the first frame update
void
Start
()
{
mesh
=
new
Mesh
{
name
=
"Exponential"
};
}
// Update is called once per frame
void
Update
()
{
}
public
void
DrawExponential
()
{
mesh
.
Clear
();
float
step
=
0.01f
;
Vector3
[]
vectors
=
new
Vector3
[
100
*
(
maxX
-
minX
)
+
1
];
int
k
=
0
;
for
(
float
i
=
minX
;
i
<=
maxX
;
i
=
i
+
step
)
{
float
y
=
Mathf
.
Pow
(
c
,
i
);
y
*=
factor
;
vectors
[
k
]
=
new
Vector3
(
i
,
y
,
0
);
k
++;
}
vectors
[
100
*
(
maxX
-
minX
)]
=
new
Vector3
(
maxX
,
Mathf
.
Pow
(
c
,
maxX
)
*
factor
,
0
);
mesh
.
vertices
=
vectors
;
int
[]
triangle
=
new
int
[
100
*
(
maxX
-
minX
)
*
2
];
for
(
int
i
=
0
;
i
<
vectors
.
Length
-
1
;
++
i
)
{
triangle
[
2
*
i
]
=
i
;
triangle
[
2
*
i
+
1
]
=
i
+
1
;
}
mesh
.
SetIndices
(
triangle
,
MeshTopology
.
Lines
,
0
);
GetComponent
<
MeshFilter
>().
mesh
=
mesh
;
}
}
MRTK test/Assets/Scripts/Functions/Hyperbola.cs
0 → 100644
View file @
41013d65
using
System.Collections
;
using
System.Collections.Generic
;
using
UnityEngine
;
public
class
Hyperbola
:
MonoBehaviour
{
Mesh
mesh
;
public
Vector3
center
;
public
float
a
;
public
float
b
;
// Start is called before the first frame update
void
Start
()
{
mesh
=
new
Mesh
{
name
=
"Hyperbola"
};
}
// Update is called once per frame
void
Update
()
{
}
public
void
DrawHyperbola
()
{
mesh
.
Clear
();
Vector3
[]
vectors
=
new
Vector3
[
202
];
int
k
=
0
;
float
step
=
a
/
100
;
float
x
=
-
a
;
while
(
k
<
51
)
{
float
y
=
x
*
x
/
(
a
*
a
)
-
1
;
y
*=
(
b
*
b
);
y
=
Mathf
.
Sqrt
(
y
);
vectors
[
50
+
k
]
=
new
Vector3
(
x
,
y
,
0
);
if
(
y
!=
0
)
{
vectors
[
50
-
k
]
=
new
Vector3
(
x
,
-
y
,
0
);
}
x
-=
step
;
step
*=
1.1f
;
k
++;
}
x
=
a
;
step
=
a
/
100
;
k
=
0
;
while
(
k
<
51
)
{
float
y
=
x
*
x
/
(
a
*
a
)
-
1
;
y
*=
(
b
*
b
);
y
=
Mathf
.
Sqrt
(
y
);
vectors
[
151
+
k
]
=
new
Vector3
(
x
,
y
,
0
);
if
(
y
!=
0
)
{
vectors
[
151
-
k
]
=
new
Vector3
(
x
,
-
y
,
0
);
}
x
+=
step
;
step
*=
1.1f
;
k
++;
}
mesh
.
vertices
=
vectors
;
int
[]
triangle
=
new
int
[
400
];
for
(
int
i
=
0
;
i
<
100
;
++
i
)
{
triangle
[
2
*
i
]
=
i
;
triangle
[
2
*
i
+
1
]
=
i
+
1
;
}
for
(
int
i
=
100
;
i
<
200
;
++
i
)
{
triangle
[
2
*
i
]
=
i
+
1
;
triangle
[
2
*
i
+
1
]
=
i
+
2
;
}
mesh
.
SetIndices
(
triangle
,
MeshTopology
.
Lines
,
0
);
GetComponent
<
MeshFilter
>().
mesh
=
mesh
;
}
}
MRTK test/Assets/Scripts/Functions/InverseTri.cs
0 → 100644
View file @
41013d65
using
System.Collections
;
using
System.Collections.Generic
;
using
UnityEngine
;
public
class
InverseTri
:
MonoBehaviour
{
Mesh
mesh
;
public
int
minX
;
public
int
maxX
;
public
enum
InverseTriTpye
{
Arcsin
,
Arccos
,
Arctan
}
public
InverseTriTpye
inverseTriTpye
;
// Start is called before the first frame update
void
Start
()
{
mesh
=
new
Mesh
{
name
=
"InverseTri"
};
}
// Update is called once per frame
void
Update
()
{
}
public
void
DrawInverseTri
()
{
mesh
.
Clear
();
if
(
inverseTriTpye
!=
InverseTriTpye
.
Arctan
)
{
float
step
=
0.01f
;
Vector3
[]
vectors
=
new
Vector3
[
100
*
2
+
1
];
int
k
=
0
;
for
(
float
i
=
-
1
;
i
<=
1
;
i
=
i
+
step
)
{
float
y
=
i
;
switch
(
inverseTriTpye
)
{
case
InverseTriTpye
.
Arcsin
:
y
=
Mathf
.
Asin
(
y
);
break
;
case
InverseTriTpye
.
Arccos
:
y
=
Mathf
.
Acos
(
y
);
break
;
default
:
break
;
}
vectors
[
k
]
=
new
Vector3
(
i
,
y
,
0
);
k
++;
}
switch
(
inverseTriTpye
)
{
case
InverseTriTpye
.
Arcsin
:
vectors
[
100
*
2
]
=
new
Vector3
(
1
,
Mathf
.
Asin
(
1
),
0
);
break
;
case
InverseTriTpye
.
Arccos
:
vectors
[
100
*
2
]
=
new
Vector3
(
1
,
Mathf
.
Acos
(
1
),
0
);
break
;
default
:
break
;
}
mesh
.
vertices
=
vectors
;
int
[]
triangle
=
new
int
[
100
*
2
*
2
];
for
(
int
i
=
0
;
i
<
vectors
.
Length
-
1
;
++
i
)
{
if
(
vectors
[
i
].
y
*
vectors
[
i
+
1
].
y
>=
0
)
{
triangle
[
2
*
i
]
=
i
;
triangle
[
2
*
i
+
1
]
=
i
+
1
;
}
else
{
triangle
[
2
*
i
]
=
i
;
triangle
[
2
*
i
+
1
]
=
i
;
}
}
mesh
.
SetIndices
(
triangle
,
MeshTopology
.
Lines
,
0
);
}
else
{
float
step
=
0.01f
;
Vector3
[]
vectors
=
new
Vector3
[
100
*
(
maxX
-
minX
)
+
1
];
int
k
=
0
;
for
(
float
i
=
-
1
;
i
<=
1
;
i
=
i
+
step
)
{
float
y
=
i
;
y
=
Mathf
.
Atan
(
y
);
vectors
[
k
]
=
new
Vector3
(
i
,
y
,
0
);
k
++;
}
vectors
[
100
*
(
maxX
-
minX
)]
=
new
Vector3
(
maxX
,
Mathf
.
Atan
(
maxX
),
0
);
mesh
.
vertices
=
vectors
;
int
[]
triangle
=
new
int
[
100
*
(
maxX
-
minX
)
*
2
];
for
(
int
i
=
0
;
i
<
vectors
.
Length
-
1
;
++
i
)
{
if
(
vectors
[
i
].
y
*
vectors
[
i
+
1
].
y
>=
0
)
{
triangle
[
2
*
i
]
=
i
;
triangle
[
2
*
i
+
1
]
=
i
+
1
;
}
else
{
triangle
[
2
*
i
]
=
i
;
triangle
[
2
*
i
+
1
]
=
i
;
}
}
mesh
.
SetIndices
(
triangle
,
MeshTopology
.
Lines
,
0
);
}
GetComponent
<
MeshFilter
>().
mesh
=
mesh
;
}
}
MRTK test/Assets/Scripts/Functions/Logarithmic.cs
0 → 100644
View file @
41013d65
using
System.Collections
;
using
System.Collections.Generic
;
using
UnityEngine
;
public
class
Logarithmic
:
MonoBehaviour
{
Mesh
mesh
;
public
int
maxX
;
public
float
factor
;
public
float
a
;
// Start is called before the first frame update
void
Start
()
{
mesh
=
new
Mesh
{
name
=
"Logarithmic"
};
}
// Update is called once per frame
void
Update
()
{
}
public
void
DrawLogarithmic
()
{
mesh
.
Clear
();
float
step
=
0.01f
;
Vector3
[]
vectors
=
new
Vector3
[
100
*
maxX
];
int
k
=
0
;
float
down
=
Mathf
.
Log
(
a
);
for
(
float
i
=
step
;
i
<=
maxX
;
i
=
i
+
step
)
{
float
y
=
Mathf
.
Log
(
i
)
/
down
;
y
*=
factor
;
vectors
[
k
]
=
new
Vector3
(
i
,
y
,
0
);
k
++;
}
vectors
[
100
*
maxX
-
1
]
=
new
Vector3
(
maxX
,
Mathf
.
Log
(
maxX
)
/
down
*
factor
,
0
);
mesh
.
vertices
=
vectors
;
int
[]
triangle
=
new
int
[
100
*
maxX
*
2
-
2
];
for
(
int
i
=
0
;
i
<
vectors
.
Length
-
1
;
++
i
)
{
triangle
[
2
*
i
]
=
i
;
triangle
[
2
*
i
+
1
]
=
i
+
1
;
}
mesh
.
SetIndices
(
triangle
,
MeshTopology
.
Lines
,
0
);
GetComponent
<
MeshFilter
>().
mesh
=
mesh
;
}
}
MRTK test/Assets/Scripts/Functions/Spline.cs
0 → 100644
View file @
41013d65
using
System.Collections
;
using
System.Collections.Generic
;
using
UnityEngine
;
public
class
Spline
:
MonoBehaviour
{
Mesh
mesh
;
public
int
minX
;
public
int
maxX
;
public
List
<
float
>
factors
;
// Start is called before the first frame update
void
Start
()
{
mesh
=
new
Mesh
{
name
=
"Spline"
};
factors
=
new
List
<
float
>();
factors
.
Add
(
1
);
factors
.
Add
(
0
);
factors
.
Add
(
1
);
}
// Update is called once per frame
void
Update
()
{
}
public
void
DrawSpline
()
{
mesh
.
Clear
();
Vector3
[]
vectors
=
new
Vector3
[
100
*
(
maxX
-
minX
)
+
1
];
int
k
=
0
;
float
step
=
0.01f
;
for
(
float
i
=
minX
;
i
<=
maxX
;
i
+=
step
)
{
float
y
=
0
;
for
(
int
j
=
factors
.
Count
-
1
;
j
>
0
;
--
j
)
{
y
+=
factors
[
j
];
y
*=
i
;
}
y
+=
factors
[
0
];
vectors
[
k
]
=
new
Vector3
(
i
,
y
,
0
);
k
++;
}
mesh
.
vertices
=
vectors
;
int
[]
triangle
=
new
int
[
100
*
(
maxX
-
minX
)
*
2
];
for
(
int
i
=
0
;
i
<
vectors
.
Length
-
1
;
++
i
)
{
triangle
[
2
*
i
]
=
i
;
triangle
[
2
*
i
+
1
]
=
i
+
1
;
}
mesh
.
SetIndices
(
triangle
,
MeshTopology
.
Lines
,
0
);
GetComponent
<
MeshFilter
>().
mesh
=
mesh
;
}
}
MRTK test/Assets/Scripts/Functions/ThreeD.cs
0 → 100644
View file @
41013d65
using
System.Collections
;
using
System.Collections.Generic
;
using
UnityEngine
;
public
class
ThreeD
:
MonoBehaviour
{
Mesh
mesh
;
Calculator3D
calculator3D
;
public
string
formula
;
public
int
minX
;
public
int
maxX
;
public
int
minY
;
public
int
maxY
;
// Start is called before the first frame update
void
Start
()
{
mesh
=
new
Mesh
{
name
=
"ThreeD"
};
calculator3D
=
new
Calculator3D
();
DrawCustomized
();
}
// Update is called once per frame
public
void
DrawCustomized
()
{
mesh
.
Clear
();
Vector3
[]
vectors
=
new
Vector3
[(
10
*
(
maxX
-
minX
)
+
1
)
*
(
10
*
(
maxY
-
minY
)
+
1
)];
int
[]
triangle
=
new
int
[
100
*
(
maxX
-
minX
)
*
(
maxY
-
minY
)
*
2
*
3
];
int
k
=
0
;
float
step
=
0.1f
;
for
(
float
i
=
minX
;
i
<=
maxX
+
0.01f
;
i
+=
step
)
{
for
(
float
j
=
minY
;
j
<=
maxY
+
0.01f
;
j
+=
step
)
{
float
z
=
0
;
if
(
calculator3D
.
calculate3D
(
formula
,
i
,
j
,
out
z
))
{
vectors
[
k
]
=
new
Vector3
(
i
,
j
,
z
);
}
else
{
vectors
[
k
]
=
vectors
[
k
-
1
];
}
++
k
;
}
}
int
lineCount
=
10
*
(
maxY
-
minY
)
+
1
;
int
line
=
0
;
for
(
int
i
=
0
;
i
<
lineCount
-
1
;
++
i
)
{
i
*=
lineCount
;
for
(
int
j
=
0
;
j
<
lineCount
-
1
;
++
j
)
{
triangle
[
6
*
(
i
+
j
-
line
)]
=
(
i
+
j
);
triangle
[
6
*
(
i
+
j
-
line
)
+
1
]
=
(
i
+
j
)
+
1
;
triangle
[
6
*
(
i
+
j
-
line
)
+
2
]
=
(
i
+
j
)
+
lineCount
;
triangle
[
6
*
(
i
+
j
-
line
)
+
3
]
=
(
i
+
j
)
+
1
;
;
triangle
[
6
*
(
i
+
j
-
line
)
+
4
]
=
(
i
+
j
)
+
lineCount
+
1
;
triangle
[
6
*
(
i
+
j
-
line
)
+
5
]
=
(
i
+
j
)
+
lineCount
;
}
i
/=
lineCount
;
line
++;
}
mesh
.
vertices
=
vectors
;
mesh
.
SetIndices
(
triangle
,
MeshTopology
.
Triangles
,
0
);
GetComponent
<
MeshFilter
>().
mesh
=
mesh
;
}
}
MRTK test/Assets/Scripts/Functions/Trigonometric.cs
0 → 100644
View file @
41013d65
using
System.Collections
;
using
System.Collections.Generic
;
using
UnityEngine
;
public
class
Trigonometric
:
MonoBehaviour
{
Mesh
mesh
;
public
int
minX
;
public
int
maxX
;
public
TriType
triType
;
public
float
a
;
public
float
b
;
public
float
factor
;
public
enum
TriType
{
Sin
,
Cos
,
Tan
}
// Start is called before the first frame update
void
Start
()
{
mesh
=
new
Mesh
{
name
=
"Trigonometric"
};
}
// Update is called once per frame
void
Update
()
{
}
public
void
DrawTrigonometric
()
{
mesh
.
Clear
();
float
step
=
0.01f
;
Vector3
[]
vectors
=
new
Vector3
[
100
*
(
maxX
-
minX
)
+
1
];
int
k
=
0
;
for
(
float
i
=
minX
;
i
<=
maxX
;
i
=
i
+
step
)
{
float
y
=
a
*
i
+
b
;
switch
(
triType
)
{
case
TriType
.
Sin
:
y
=
Mathf
.
Sin
(
y
);
break
;
case
TriType
.
Cos
:
y
=
Mathf
.
Cos
(
y
);
break
;
case
TriType
.
Tan
:
y
=
Mathf
.
Tan
(
y
);
break
;
default
:
break
;
}
y
*=
factor
;
vectors
[
k
]
=
new
Vector3
(
i
,
y
,
0
);
k
++;
}
switch
(
triType
)
{
case
TriType
.
Sin
:
vectors
[
100
*
(
maxX
-
minX
)]
=
new
Vector3
(
maxX
,
Mathf
.
Sin
(
a
*
maxX
+
b
)
*
factor
,
0
);
break
;
case
TriType
.
Cos
:
vectors
[
100
*
(
maxX
-
minX
)]
=
new
Vector3
(
maxX
,
Mathf
.
Cos
(
a
*
maxX
+
b
)
*
factor
,
0
);
break
;
case
TriType
.
Tan
:
vectors
[
100
*
(
maxX
-
minX
)]
=
new
Vector3
(
maxX
,
Mathf
.
Tan
(
a
*
maxX
+
b
)
*
factor
,
0
);
break
;
default
:
break
;
}
mesh
.
vertices
=
vectors
;
int
[]
triangle
=
new
int
[
100
*
(
maxX
-
minX
)
*
2
];
for
(
int
i
=
0
;
i
<
vectors
.
Length
-
1
;
++
i
)
{
if
(
vectors
[
i
].
y
*
vectors
[
i
+
1
].
y
>=
0
)
{
triangle
[
2
*
i
]
=
i
;
triangle
[
2
*
i
+
1
]
=
i
+
1
;
}
else
{
triangle
[
2
*
i
]
=
i
;
triangle
[
2
*
i
+
1
]
=
i
;
}
}
mesh
.
SetIndices
(
triangle
,
MeshTopology
.
Lines
,
0
);
GetComponent
<
MeshFilter
>().
mesh
=
mesh
;
}
}
MRTK test/Assets/Scripts/NormalFunctionTest.cs
View file @
41013d65
...
...
@@ -53,9 +53,8 @@ public class NormalFunctionTest : MonoBehaviour
//DrawHyperbola(new Vector3(0, 0, 0), 3, 2);
//DrawExponential(2, 3);
//DrawLogarithmic(2, 3);
DrawTrigonometric
(
TriType
.
Sin
,
1
,
0
,
1
);
//DrawTrigonometric(TriType.Sin, 1, 0, 1);
}
// Update is called once per frame
...
...
doc/10.27/10.27.md
View file @
41013d65
...
...
@@ -13,6 +13,7 @@
*
将 Windows 和 HoloLens2 连接在同一局域网下，可以在 HoloLens2 的设置中看到其 IP，直接在电脑上访问
*
调试需要在 HoloLens2 上下载 Holographic Remoting Player 软件并打开，再在 Unity 中 ’Window’-‘XR’-‘Holographic Emulation’ 中输入其 IP 并尝试连接
*
尝试多次后依旧连接不上......
*
10.29：更新了 HoloLens2 的固件版本后，成功连接上
*
根据官方文档，需要下载并导入 MRTK.Tutorials.PCHolograhicRemoting 包，将 HolographicRemoting 预制体拖入场景中，再使用 unity build 后在 VS 中运行
*
VS 编译未通过，暂时未成功
...
...
doc/11.10/11.10.md
0 → 100644
View file @
41013d65
# 11.10
*
整理之前测试用的代码，将基本函数剥离到各自的脚本中
*
见 Functions -> Spline / Ellipse / Hyperbola / Exponential / Logarithmic / Trigonometric / InverseTri
*
增加了自定义函数绘制的支持，结合之前做的 Calculator 进行 Mesh 绘制并且通过测试
*
增加了三维自定义函数绘制的支持
*
目前只支持固定 X-Y 范围内的绘制，无法自定义复杂区间
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增加了函数断点的判断，从而支持绘制不完全连续的函数
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但是在三维函数情况中，情况更为复杂，因而还未做相应的处理
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而且参考中学数学，三维函数似乎只会用在平面之上，不会出现复杂情况
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# 11.3
## 10.29
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与 Microsoft 支持进行联系，更新了 HoloLens2 的固件版本，解决了有时无法开机以及连接不上 Unity 的问题
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在 HoloLens2 上尝试了 MRTK 中的实例场景：
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对于物体的拖拽缩放，经常会出现由于手运动幅度太大导致离开识别范围，因而在设计时应该尽量避免大幅度的拖拽操作，保持物体在画面中心较好
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HoloLens2 对点击或是握拳选中的判定略有硬核，难以进行精确选择，因而物体交互的判定范围不能太小，尤其是选点之类的操作
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相比之下，对于语音识别的精度就较高，可以考虑多加使用
## 10.30
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参考之前学长做的 mathx 的 Hololens 版本（但是丢失了很多素材所以不能运行，只能看看脚本）
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沿用其中的 calculator 的想法，使引擎支持自定义函数的绘制，同时依旧保留基础函数的绘制功能（考虑到之后还需要定制化例如对称轴，焦点等特殊信息的绘制）
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