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编写于
2月 01, 2021
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WenmuZhou
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/*******************************************************************************
* *
* Author : Angus Johnson *
* Version : 6.4.2 *
* Date : 27 February 2017 *
* Website : http://www.angusj.com *
* Copyright : Angus Johnson 2010-2017 *
* *
* License: *
* Use, modification & distribution is subject to Boost Software License Ver 1. *
* http://www.boost.org/LICENSE_1_0.txt *
* *
* Attributions: *
* The code in this library is an extension of Bala Vatti's clipping algorithm: *
* "A generic solution to polygon clipping" *
* Communications of the ACM, Vol 35, Issue 7 (July 1992) pp 56-63. *
* http://portal.acm.org/citation.cfm?id=129906 *
* *
* Computer graphics and geometric modeling: implementation and algorithms *
* By Max K. Agoston *
* Springer; 1 edition (January 4, 2005) *
* http://books.google.com/books?q=vatti+clipping+agoston *
* *
* See also: *
* "Polygon Offsetting by Computing Winding Numbers" *
* Paper no. DETC2005-85513 pp. 565-575 *
* ASME 2005 International Design Engineering Technical Conferences *
* and Computers and Information in Engineering Conference (IDETC/CIE2005) *
* September 24-28, 2005 , Long Beach, California, USA *
* http://www.me.berkeley.edu/~mcmains/pubs/DAC05OffsetPolygon.pdf *
* *
*******************************************************************************/
#ifndef clipper_hpp
#define clipper_hpp
#define CLIPPER_VERSION "6.4.2"
// use_int32: When enabled 32bit ints are used instead of 64bit ints. This
// improve performance but coordinate values are limited to the range +/- 46340
//#define use_int32
// use_xyz: adds a Z member to IntPoint. Adds a minor cost to perfomance.
//#define use_xyz
// use_lines: Enables line clipping. Adds a very minor cost to performance.
#define use_lines
// use_deprecated: Enables temporary support for the obsolete functions
//#define use_deprecated
#include <cstdlib>
#include <cstring>
#include <functional>
#include <list>
#include <ostream>
#include <queue>
#include <set>
#include <stdexcept>
#include <vector>
namespace
ClipperLib
{
enum
ClipType
{
ctIntersection
,
ctUnion
,
ctDifference
,
ctXor
};
enum
PolyType
{
ptSubject
,
ptClip
};
// By far the most widely used winding rules for polygon filling are
// EvenOdd & NonZero (GDI, GDI+, XLib, OpenGL, Cairo, AGG, Quartz, SVG, Gr32)
// Others rules include Positive, Negative and ABS_GTR_EQ_TWO (only in OpenGL)
// see http://glprogramming.com/red/chapter11.html
enum
PolyFillType
{
pftEvenOdd
,
pftNonZero
,
pftPositive
,
pftNegative
};
#ifdef use_int32
typedef
int
cInt
;
static
cInt
const
loRange
=
0x7FFF
;
static
cInt
const
hiRange
=
0x7FFF
;
#else
typedef
signed
long
long
cInt
;
static
cInt
const
loRange
=
0x3FFFFFFF
;
static
cInt
const
hiRange
=
0x3FFFFFFFFFFFFFFFLL
;
typedef
signed
long
long
long64
;
// used by Int128 class
typedef
unsigned
long
long
ulong64
;
#endif
struct
IntPoint
{
cInt
X
;
cInt
Y
;
#ifdef use_xyz
cInt
Z
;
IntPoint
(
cInt
x
=
0
,
cInt
y
=
0
,
cInt
z
=
0
)
:
X
(
x
),
Y
(
y
),
Z
(
z
){};
#else
IntPoint
(
cInt
x
=
0
,
cInt
y
=
0
)
:
X
(
x
),
Y
(
y
){};
#endif
friend
inline
bool
operator
==
(
const
IntPoint
&
a
,
const
IntPoint
&
b
)
{
return
a
.
X
==
b
.
X
&&
a
.
Y
==
b
.
Y
;
}
friend
inline
bool
operator
!=
(
const
IntPoint
&
a
,
const
IntPoint
&
b
)
{
return
a
.
X
!=
b
.
X
||
a
.
Y
!=
b
.
Y
;
}
};
//------------------------------------------------------------------------------
typedef
std
::
vector
<
IntPoint
>
Path
;
typedef
std
::
vector
<
Path
>
Paths
;
inline
Path
&
operator
<<
(
Path
&
poly
,
const
IntPoint
&
p
)
{
poly
.
push_back
(
p
);
return
poly
;
}
inline
Paths
&
operator
<<
(
Paths
&
polys
,
const
Path
&
p
)
{
polys
.
push_back
(
p
);
return
polys
;
}
std
::
ostream
&
operator
<<
(
std
::
ostream
&
s
,
const
IntPoint
&
p
);
std
::
ostream
&
operator
<<
(
std
::
ostream
&
s
,
const
Path
&
p
);
std
::
ostream
&
operator
<<
(
std
::
ostream
&
s
,
const
Paths
&
p
);
struct
DoublePoint
{
double
X
;
double
Y
;
DoublePoint
(
double
x
=
0
,
double
y
=
0
)
:
X
(
x
),
Y
(
y
)
{}
DoublePoint
(
IntPoint
ip
)
:
X
((
double
)
ip
.
X
),
Y
((
double
)
ip
.
Y
)
{}
};
//------------------------------------------------------------------------------
#ifdef use_xyz
typedef
void
(
*
ZFillCallback
)(
IntPoint
&
e1bot
,
IntPoint
&
e1top
,
IntPoint
&
e2bot
,
IntPoint
&
e2top
,
IntPoint
&
pt
);
#endif
enum
InitOptions
{
ioReverseSolution
=
1
,
ioStrictlySimple
=
2
,
ioPreserveCollinear
=
4
};
enum
JoinType
{
jtSquare
,
jtRound
,
jtMiter
};
enum
EndType
{
etClosedPolygon
,
etClosedLine
,
etOpenButt
,
etOpenSquare
,
etOpenRound
};
class
PolyNode
;
typedef
std
::
vector
<
PolyNode
*>
PolyNodes
;
class
PolyNode
{
public:
PolyNode
();
virtual
~
PolyNode
(){};
Path
Contour
;
PolyNodes
Childs
;
PolyNode
*
Parent
;
PolyNode
*
GetNext
()
const
;
bool
IsHole
()
const
;
bool
IsOpen
()
const
;
int
ChildCount
()
const
;
private:
// PolyNode& operator =(PolyNode& other);
unsigned
Index
;
// node index in Parent.Childs
bool
m_IsOpen
;
JoinType
m_jointype
;
EndType
m_endtype
;
PolyNode
*
GetNextSiblingUp
()
const
;
void
AddChild
(
PolyNode
&
child
);
friend
class
Clipper
;
// to access Index
friend
class
ClipperOffset
;
};
class
PolyTree
:
public
PolyNode
{
public:
~
PolyTree
()
{
Clear
();
};
PolyNode
*
GetFirst
()
const
;
void
Clear
();
int
Total
()
const
;
private:
// PolyTree& operator =(PolyTree& other);
PolyNodes
AllNodes
;
friend
class
Clipper
;
// to access AllNodes
};
bool
Orientation
(
const
Path
&
poly
);
double
Area
(
const
Path
&
poly
);
int
PointInPolygon
(
const
IntPoint
&
pt
,
const
Path
&
path
);
void
SimplifyPolygon
(
const
Path
&
in_poly
,
Paths
&
out_polys
,
PolyFillType
fillType
=
pftEvenOdd
);
void
SimplifyPolygons
(
const
Paths
&
in_polys
,
Paths
&
out_polys
,
PolyFillType
fillType
=
pftEvenOdd
);
void
SimplifyPolygons
(
Paths
&
polys
,
PolyFillType
fillType
=
pftEvenOdd
);
void
CleanPolygon
(
const
Path
&
in_poly
,
Path
&
out_poly
,
double
distance
=
1.415
);
void
CleanPolygon
(
Path
&
poly
,
double
distance
=
1.415
);
void
CleanPolygons
(
const
Paths
&
in_polys
,
Paths
&
out_polys
,
double
distance
=
1.415
);
void
CleanPolygons
(
Paths
&
polys
,
double
distance
=
1.415
);
void
MinkowskiSum
(
const
Path
&
pattern
,
const
Path
&
path
,
Paths
&
solution
,
bool
pathIsClosed
);
void
MinkowskiSum
(
const
Path
&
pattern
,
const
Paths
&
paths
,
Paths
&
solution
,
bool
pathIsClosed
);
void
MinkowskiDiff
(
const
Path
&
poly1
,
const
Path
&
poly2
,
Paths
&
solution
);
void
PolyTreeToPaths
(
const
PolyTree
&
polytree
,
Paths
&
paths
);
void
ClosedPathsFromPolyTree
(
const
PolyTree
&
polytree
,
Paths
&
paths
);
void
OpenPathsFromPolyTree
(
PolyTree
&
polytree
,
Paths
&
paths
);
void
ReversePath
(
Path
&
p
);
void
ReversePaths
(
Paths
&
p
);
struct
IntRect
{
cInt
left
;
cInt
top
;
cInt
right
;
cInt
bottom
;
};
// enums that are used internally ...
enum
EdgeSide
{
esLeft
=
1
,
esRight
=
2
};
// forward declarations (for stuff used internally) ...
struct
TEdge
;
struct
IntersectNode
;
struct
LocalMinimum
;
struct
OutPt
;
struct
OutRec
;
struct
Join
;
typedef
std
::
vector
<
OutRec
*>
PolyOutList
;
typedef
std
::
vector
<
TEdge
*>
EdgeList
;
typedef
std
::
vector
<
Join
*>
JoinList
;
typedef
std
::
vector
<
IntersectNode
*>
IntersectList
;
//------------------------------------------------------------------------------
// ClipperBase is the ancestor to the Clipper class. It should not be
// instantiated directly. This class simply abstracts the conversion of sets of
// polygon coordinates into edge objects that are stored in a LocalMinima list.
class
ClipperBase
{
public:
ClipperBase
();
virtual
~
ClipperBase
();
virtual
bool
AddPath
(
const
Path
&
pg
,
PolyType
PolyTyp
,
bool
Closed
);
bool
AddPaths
(
const
Paths
&
ppg
,
PolyType
PolyTyp
,
bool
Closed
);
virtual
void
Clear
();
IntRect
GetBounds
();
bool
PreserveCollinear
()
{
return
m_PreserveCollinear
;
};
void
PreserveCollinear
(
bool
value
)
{
m_PreserveCollinear
=
value
;
};
protected:
void
DisposeLocalMinimaList
();
TEdge
*
AddBoundsToLML
(
TEdge
*
e
,
bool
IsClosed
);
virtual
void
Reset
();
TEdge
*
ProcessBound
(
TEdge
*
E
,
bool
IsClockwise
);
void
InsertScanbeam
(
const
cInt
Y
);
bool
PopScanbeam
(
cInt
&
Y
);
bool
LocalMinimaPending
();
bool
PopLocalMinima
(
cInt
Y
,
const
LocalMinimum
*&
locMin
);
OutRec
*
CreateOutRec
();
void
DisposeAllOutRecs
();
void
DisposeOutRec
(
PolyOutList
::
size_type
index
);
void
SwapPositionsInAEL
(
TEdge
*
edge1
,
TEdge
*
edge2
);
void
DeleteFromAEL
(
TEdge
*
e
);
void
UpdateEdgeIntoAEL
(
TEdge
*&
e
);
typedef
std
::
vector
<
LocalMinimum
>
MinimaList
;
MinimaList
::
iterator
m_CurrentLM
;
MinimaList
m_MinimaList
;
bool
m_UseFullRange
;
EdgeList
m_edges
;
bool
m_PreserveCollinear
;
bool
m_HasOpenPaths
;
PolyOutList
m_PolyOuts
;
TEdge
*
m_ActiveEdges
;
typedef
std
::
priority_queue
<
cInt
>
ScanbeamList
;
ScanbeamList
m_Scanbeam
;
};
//------------------------------------------------------------------------------
class
Clipper
:
public
virtual
ClipperBase
{
public:
Clipper
(
int
initOptions
=
0
);
bool
Execute
(
ClipType
clipType
,
Paths
&
solution
,
PolyFillType
fillType
=
pftEvenOdd
);
bool
Execute
(
ClipType
clipType
,
Paths
&
solution
,
PolyFillType
subjFillType
,
PolyFillType
clipFillType
);
bool
Execute
(
ClipType
clipType
,
PolyTree
&
polytree
,
PolyFillType
fillType
=
pftEvenOdd
);
bool
Execute
(
ClipType
clipType
,
PolyTree
&
polytree
,
PolyFillType
subjFillType
,
PolyFillType
clipFillType
);
bool
ReverseSolution
()
{
return
m_ReverseOutput
;
};
void
ReverseSolution
(
bool
value
)
{
m_ReverseOutput
=
value
;
};
bool
StrictlySimple
()
{
return
m_StrictSimple
;
};
void
StrictlySimple
(
bool
value
)
{
m_StrictSimple
=
value
;
};
// set the callback function for z value filling on intersections (otherwise Z
// is 0)
#ifdef use_xyz
void
ZFillFunction
(
ZFillCallback
zFillFunc
);
#endif
protected:
virtual
bool
ExecuteInternal
();
private:
JoinList
m_Joins
;
JoinList
m_GhostJoins
;
IntersectList
m_IntersectList
;
ClipType
m_ClipType
;
typedef
std
::
list
<
cInt
>
MaximaList
;
MaximaList
m_Maxima
;
TEdge
*
m_SortedEdges
;
bool
m_ExecuteLocked
;
PolyFillType
m_ClipFillType
;
PolyFillType
m_SubjFillType
;
bool
m_ReverseOutput
;
bool
m_UsingPolyTree
;
bool
m_StrictSimple
;
#ifdef use_xyz
ZFillCallback
m_ZFill
;
// custom callback
#endif
void
SetWindingCount
(
TEdge
&
edge
);
bool
IsEvenOddFillType
(
const
TEdge
&
edge
)
const
;
bool
IsEvenOddAltFillType
(
const
TEdge
&
edge
)
const
;
void
InsertLocalMinimaIntoAEL
(
const
cInt
botY
);
void
InsertEdgeIntoAEL
(
TEdge
*
edge
,
TEdge
*
startEdge
);
void
AddEdgeToSEL
(
TEdge
*
edge
);
bool
PopEdgeFromSEL
(
TEdge
*&
edge
);
void
CopyAELToSEL
();
void
DeleteFromSEL
(
TEdge
*
e
);
void
SwapPositionsInSEL
(
TEdge
*
edge1
,
TEdge
*
edge2
);
bool
IsContributing
(
const
TEdge
&
edge
)
const
;
bool
IsTopHorz
(
const
cInt
XPos
);
void
DoMaxima
(
TEdge
*
e
);
void
ProcessHorizontals
();
void
ProcessHorizontal
(
TEdge
*
horzEdge
);
void
AddLocalMaxPoly
(
TEdge
*
e1
,
TEdge
*
e2
,
const
IntPoint
&
pt
);
OutPt
*
AddLocalMinPoly
(
TEdge
*
e1
,
TEdge
*
e2
,
const
IntPoint
&
pt
);
OutRec
*
GetOutRec
(
int
idx
);
void
AppendPolygon
(
TEdge
*
e1
,
TEdge
*
e2
);
void
IntersectEdges
(
TEdge
*
e1
,
TEdge
*
e2
,
IntPoint
&
pt
);
OutPt
*
AddOutPt
(
TEdge
*
e
,
const
IntPoint
&
pt
);
OutPt
*
GetLastOutPt
(
TEdge
*
e
);
bool
ProcessIntersections
(
const
cInt
topY
);
void
BuildIntersectList
(
const
cInt
topY
);
void
ProcessIntersectList
();
void
ProcessEdgesAtTopOfScanbeam
(
const
cInt
topY
);
void
BuildResult
(
Paths
&
polys
);
void
BuildResult2
(
PolyTree
&
polytree
);
void
SetHoleState
(
TEdge
*
e
,
OutRec
*
outrec
);
void
DisposeIntersectNodes
();
bool
FixupIntersectionOrder
();
void
FixupOutPolygon
(
OutRec
&
outrec
);
void
FixupOutPolyline
(
OutRec
&
outrec
);
bool
IsHole
(
TEdge
*
e
);
bool
FindOwnerFromSplitRecs
(
OutRec
&
outRec
,
OutRec
*&
currOrfl
);
void
FixHoleLinkage
(
OutRec
&
outrec
);
void
AddJoin
(
OutPt
*
op1
,
OutPt
*
op2
,
const
IntPoint
offPt
);
void
ClearJoins
();
void
ClearGhostJoins
();
void
AddGhostJoin
(
OutPt
*
op
,
const
IntPoint
offPt
);
bool
JoinPoints
(
Join
*
j
,
OutRec
*
outRec1
,
OutRec
*
outRec2
);
void
JoinCommonEdges
();
void
DoSimplePolygons
();
void
FixupFirstLefts1
(
OutRec
*
OldOutRec
,
OutRec
*
NewOutRec
);
void
FixupFirstLefts2
(
OutRec
*
InnerOutRec
,
OutRec
*
OuterOutRec
);
void
FixupFirstLefts3
(
OutRec
*
OldOutRec
,
OutRec
*
NewOutRec
);
#ifdef use_xyz
void
SetZ
(
IntPoint
&
pt
,
TEdge
&
e1
,
TEdge
&
e2
);
#endif
};
//------------------------------------------------------------------------------
class
ClipperOffset
{
public:
ClipperOffset
(
double
miterLimit
=
2.0
,
double
roundPrecision
=
0.25
);
~
ClipperOffset
();
void
AddPath
(
const
Path
&
path
,
JoinType
joinType
,
EndType
endType
);
void
AddPaths
(
const
Paths
&
paths
,
JoinType
joinType
,
EndType
endType
);
void
Execute
(
Paths
&
solution
,
double
delta
);
void
Execute
(
PolyTree
&
solution
,
double
delta
);
void
Clear
();
double
MiterLimit
;
double
ArcTolerance
;
private:
Paths
m_destPolys
;
Path
m_srcPoly
;
Path
m_destPoly
;
std
::
vector
<
DoublePoint
>
m_normals
;
double
m_delta
,
m_sinA
,
m_sin
,
m_cos
;
double
m_miterLim
,
m_StepsPerRad
;
IntPoint
m_lowest
;
PolyNode
m_polyNodes
;
void
FixOrientations
();
void
DoOffset
(
double
delta
);
void
OffsetPoint
(
int
j
,
int
&
k
,
JoinType
jointype
);
void
DoSquare
(
int
j
,
int
k
);
void
DoMiter
(
int
j
,
int
k
,
double
r
);
void
DoRound
(
int
j
,
int
k
);
};
//------------------------------------------------------------------------------
class
clipperException
:
public
std
::
exception
{
public:
clipperException
(
const
char
*
description
)
:
m_descr
(
description
)
{}
virtual
~
clipperException
()
throw
()
{}
virtual
const
char
*
what
()
const
throw
()
{
return
m_descr
.
c_str
();
}
private:
std
::
string
m_descr
;
};
//------------------------------------------------------------------------------
}
// ClipperLib namespace
#endif // clipper_hpp
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