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Elphel
kicad-source-mirror
Commits
b7db0ef8
Commit
b7db0ef8
authored
Oct 12, 2008
by
charras
Browse files
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Plain Diff
updating polygon lib code. A bug removed.
parent
7c5feb61
Changes
6
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Showing
6 changed files
with
461 additions
and
117 deletions
+461
-117
zones_test_and_combine_areas.cpp
pcbnew/zones_test_and_combine_areas.cpp
+2
-14
PolyLine.cpp
polygon/PolyLine.cpp
+83
-100
PolyLine.h
polygon/PolyLine.h
+2
-2
math_for_graphics.cpp
polygon/math_for_graphics.cpp
+0
-1
polygon_test_point_inside.cpp
polygon/polygon_test_point_inside.cpp
+355
-0
polygon_test_point_inside.h
polygon/polygon_test_point_inside.h
+19
-0
No files found.
pcbnew/zones_test_and_combine_areas.cpp
View file @
b7db0ef8
...
@@ -169,16 +169,8 @@ int BOARD::TestAreaPolygon( ZONE_CONTAINER* CurrArea )
...
@@ -169,16 +169,8 @@ int BOARD::TestAreaPolygon( ZONE_CONTAINER* CurrArea )
int
y2i
=
p
->
GetY
(
is2
);
int
y2i
=
p
->
GetY
(
is2
);
int
x2f
=
p
->
GetX
(
is2_next
);
int
x2f
=
p
->
GetX
(
is2_next
);
int
y2f
=
p
->
GetY
(
is2_next
);
int
y2f
=
p
->
GetY
(
is2_next
);
int
ret
=
FindSegmentIntersections
(
x1i
,
int
ret
=
FindSegmentIntersections
(
x1i
,
y1i
,
x1f
,
y1f
,
style
,
y1i
,
x2i
,
y2i
,
x2f
,
y2f
,
style2
);
x1f
,
y1f
,
style
,
x2i
,
y2i
,
x2f
,
y2f
,
style2
);
if
(
ret
)
if
(
ret
)
{
{
// intersection between non-adjacent sides
// intersection between non-adjacent sides
...
@@ -246,8 +238,6 @@ int BOARD::ClipAreaPolygon( ZONE_CONTAINER* CurrArea,
...
@@ -246,8 +238,6 @@ int BOARD::ClipAreaPolygon( ZONE_CONTAINER* CurrArea,
str
+=
wxT
(
"such as adding cutouts. It can't be fixed automatically.
\n
"
);
str
+=
wxT
(
"such as adding cutouts. It can't be fixed automatically.
\n
"
);
str
+=
wxT
(
"Manual correction is recommended."
);
str
+=
wxT
(
"Manual correction is recommended."
);
wxMessageBox
(
str
);
wxMessageBox
(
str
);
// bDontShowSelfIntersectionArcsWarning = dlg.bDontShowBoxState;
}
}
return
-
1
;
// arcs intersect with other sides, error
return
-
1
;
// arcs intersect with other sides, error
}
}
...
@@ -427,8 +417,6 @@ int BOARD::CombineAllAreasInNet( int aNetCode, bool bMessageBox, bool bUseUtilit
...
@@ -427,8 +417,6 @@ int BOARD::CombineAllAreasInNet( int aNetCode, bool bMessageBox, bool bUseUtilit
curr_area
->
m_Netname
.
GetData
()
);
curr_area
->
m_Netname
.
GetData
()
);
str
+=
wxT
(
"Therefore, these areas can't be combined."
);
str
+=
wxT
(
"Therefore, these areas can't be combined."
);
wxMessageBox
(
str
);
wxMessageBox
(
str
);
// bDontShowIntersectionArcsWarning = dlg.bDontShowBoxState;
}
}
}
}
}
}
...
...
polygon/PolyLine.cpp
View file @
b7db0ef8
...
@@ -30,10 +30,11 @@ CPolyLine::CPolyLine()
...
@@ -30,10 +30,11 @@ CPolyLine::CPolyLine()
CPolyLine
::~
CPolyLine
()
CPolyLine
::~
CPolyLine
()
{
{
Undraw
();
Undraw
();
if
(
m_Kbool_Poly_Engine
)
if
(
m_Kbool_Poly_Engine
)
delete
m_Kbool_Poly_Engine
;
delete
m_Kbool_Poly_Engine
;
}
}
/** Function NormalizeWithKbool
/** Function NormalizeWithKbool
* Use the Kbool Library to clip contours: if outlines are crossing, the self-crossing polygon
* Use the Kbool Library to clip contours: if outlines are crossing, the self-crossing polygon
* is converted to non self-crossing polygon by adding extra points at the crossing locations
* is converted to non self-crossing polygon by adding extra points at the crossing locations
...
@@ -83,8 +84,8 @@ int CPolyLine::NormalizeWithKbool( std::vector<CPolyLine*> * aExtraPolyList, boo
...
@@ -83,8 +84,8 @@ int CPolyLine::NormalizeWithKbool( std::vector<CPolyLine*> * aExtraPolyList, boo
hole_array
.
push_back
(
hole
);
hole_array
.
push_back
(
hole
);
while
(
m_Kbool_Poly_Engine
->
PolygonHasMorePoints
()
)
// store hole
while
(
m_Kbool_Poly_Engine
->
PolygonHasMorePoints
()
)
// store hole
{
{
int
x
=
(
int
)
m_Kbool_Poly_Engine
->
GetPolygonXPoint
();
int
x
=
(
int
)
m_Kbool_Poly_Engine
->
GetPolygonXPoint
();
int
y
=
(
int
)
m_Kbool_Poly_Engine
->
GetPolygonYPoint
();
int
y
=
(
int
)
m_Kbool_Poly_Engine
->
GetPolygonYPoint
();
hole
->
push_back
(
x
);
hole
->
push_back
(
x
);
hole
->
push_back
(
y
);
hole
->
push_back
(
y
);
}
}
...
@@ -99,8 +100,8 @@ int CPolyLine::NormalizeWithKbool( std::vector<CPolyLine*> * aExtraPolyList, boo
...
@@ -99,8 +100,8 @@ int CPolyLine::NormalizeWithKbool( std::vector<CPolyLine*> * aExtraPolyList, boo
bool
first
=
true
;
bool
first
=
true
;
while
(
m_Kbool_Poly_Engine
->
PolygonHasMorePoints
()
)
while
(
m_Kbool_Poly_Engine
->
PolygonHasMorePoints
()
)
{
// foreach point in the polygon
{
// foreach point in the polygon
int
x
=
(
int
)
m_Kbool_Poly_Engine
->
GetPolygonXPoint
();
int
x
=
(
int
)
m_Kbool_Poly_Engine
->
GetPolygonXPoint
();
int
y
=
(
int
)
m_Kbool_Poly_Engine
->
GetPolygonYPoint
();
int
y
=
(
int
)
m_Kbool_Poly_Engine
->
GetPolygonYPoint
();
if
(
first
)
if
(
first
)
{
{
first
=
false
;
first
=
false
;
...
@@ -121,8 +122,8 @@ int CPolyLine::NormalizeWithKbool( std::vector<CPolyLine*> * aExtraPolyList, boo
...
@@ -121,8 +122,8 @@ int CPolyLine::NormalizeWithKbool( std::vector<CPolyLine*> * aExtraPolyList, boo
bool
first
=
true
;
bool
first
=
true
;
while
(
m_Kbool_Poly_Engine
->
PolygonHasMorePoints
()
)
// read next external contour
while
(
m_Kbool_Poly_Engine
->
PolygonHasMorePoints
()
)
// read next external contour
{
{
int
x
=
(
int
)
m_Kbool_Poly_Engine
->
GetPolygonXPoint
();
int
x
=
(
int
)
m_Kbool_Poly_Engine
->
GetPolygonXPoint
();
int
y
=
(
int
)
m_Kbool_Poly_Engine
->
GetPolygonYPoint
();
int
y
=
(
int
)
m_Kbool_Poly_Engine
->
GetPolygonYPoint
();
if
(
first
)
if
(
first
)
{
{
first
=
false
;
first
=
false
;
...
@@ -227,8 +228,8 @@ int CPolyLine::AddPolygonsToBoolEng( Bool_Engine* aBooleng,
...
@@ -227,8 +228,8 @@ int CPolyLine::AddPolygonsToBoolEng( Bool_Engine* aBooleng,
{
{
while
(
m_Kbool_Poly_Engine
->
PolygonHasMorePoints
()
)
while
(
m_Kbool_Poly_Engine
->
PolygonHasMorePoints
()
)
{
{
int
x
=
(
int
)
m_Kbool_Poly_Engine
->
GetPolygonXPoint
();
int
x
=
(
int
)
m_Kbool_Poly_Engine
->
GetPolygonXPoint
();
int
y
=
(
int
)
m_Kbool_Poly_Engine
->
GetPolygonYPoint
();
int
y
=
(
int
)
m_Kbool_Poly_Engine
->
GetPolygonYPoint
();
aBooleng
->
AddPoint
(
x
,
y
);
aBooleng
->
AddPoint
(
x
,
y
);
count
++
;
count
++
;
}
}
...
@@ -300,8 +301,8 @@ int CPolyLine::MakeKboolPoly( int aStart_contour, int aEnd_contour, std::vector<
...
@@ -300,8 +301,8 @@ int CPolyLine::MakeKboolPoly( int aStart_contour, int aEnd_contour, std::vector<
{
{
while
(
m_Kbool_Poly_Engine
->
PolygonHasMorePoints
()
)
while
(
m_Kbool_Poly_Engine
->
PolygonHasMorePoints
()
)
{
{
int
x
=
(
int
)
m_Kbool_Poly_Engine
->
GetPolygonXPoint
();
int
x
=
(
int
)
m_Kbool_Poly_Engine
->
GetPolygonXPoint
();
int
y
=
(
int
)
m_Kbool_Poly_Engine
->
GetPolygonYPoint
();
int
y
=
(
int
)
m_Kbool_Poly_Engine
->
GetPolygonYPoint
();
booleng
->
AddPoint
(
x
,
y
);
booleng
->
AddPoint
(
x
,
y
);
}
}
...
@@ -563,12 +564,12 @@ void ArmBoolEng( Bool_Engine* aBooleng, bool aConvertHoles )
...
@@ -563,12 +564,12 @@ void ArmBoolEng( Bool_Engine* aBooleng, bool aConvertHoles )
}
}
int
CPolyLine
::
NormalizeAreaOutlines
(
std
::
vector
<
CPolyLine
*>
*
pa
,
bool
bRetainArcs
)
int
CPolyLine
::
NormalizeAreaOutlines
(
std
::
vector
<
CPolyLine
*>
*
pa
,
bool
bRetainArcs
)
{
{
return
NormalizeWithKbool
(
pa
,
bRetainArcs
);
return
NormalizeWithKbool
(
pa
,
bRetainArcs
);
}
}
// Restore arcs to a polygon where they were replaced with steps
// Restore arcs to a polygon where they were replaced with steps
// If pa != NULL, also use polygons in pa array
// If pa != NULL, also use polygons in pa array
//
//
...
@@ -1314,27 +1315,26 @@ void CPolyLine::Hatch()
...
@@ -1314,27 +1315,26 @@ void CPolyLine::Hatch()
// test to see if a point is inside polyline
// test to see if a point is inside polyline
//
//
bool
CPolyLine
::
TestPointInside
(
int
x
,
int
y
)
bool
CPolyLine
::
TestPointInside
(
int
px
,
int
p
y
)
{
{
enum
{
MAXPTS
=
100
};
if
(
!
GetClosed
()
)
if
(
!
GetClosed
()
)
wxASSERT
(
0
);
wxASSERT
(
0
);
// define line passing through (x,y), with slope = 2/3;
// define line passing through (x,y), with slope = 2/3;
// get intersection points
// get intersection points
double
xx
[
MAXPTS
],
yy
[
MAXPTS
]
;
int
xx
,
yy
;
double
slope
=
(
double
)
2.0
/
3.0
;
double
slope
=
(
double
)
2.0
/
3.0
;
double
a
=
y
-
slope
*
x
;
double
a
=
py
-
slope
*
p
x
;
int
nloops
=
0
;
int
nloops
=
0
;
int
npts
;
int
npts
;
bool
inside
=
false
;
// make this a loop so if my homebrew algorithm screws up, we try it again
// make this a loop so if my homebrew algorithm screws up, we try it again
do
do
{
{
// now find all intersection points of line with polyline sides
// now find all intersection points of line with polyline sides
npts
=
0
;
npts
=
0
;
inside
=
false
;
for
(
int
icont
=
0
;
icont
<
GetNumContours
();
icont
++
)
for
(
int
icont
=
0
;
icont
<
GetNumContours
();
icont
++
)
{
{
int
istart
=
GetContourStart
(
icont
);
int
istart
=
GetContourStart
(
icont
);
...
@@ -1347,7 +1347,7 @@ bool CPolyLine::TestPointInside( int x, int y )
...
@@ -1347,7 +1347,7 @@ bool CPolyLine::TestPointInside( int x, int y )
ok
=
FindLineSegmentIntersection
(
a
,
slope
,
ok
=
FindLineSegmentIntersection
(
a
,
slope
,
corner
[
iend
].
x
,
corner
[
iend
].
y
,
corner
[
iend
].
x
,
corner
[
iend
].
y
,
corner
[
istart
].
x
,
corner
[
istart
].
y
,
corner
[
istart
].
x
,
corner
[
istart
].
y
,
side_style
[
corner
.
size
()
-
1
],
side_style
[
iend
],
&
x
,
&
y
,
&
x2
,
&
y2
);
&
x
,
&
y
,
&
x2
,
&
y2
);
else
else
ok
=
FindLineSegmentIntersection
(
a
,
slope
,
ok
=
FindLineSegmentIntersection
(
a
,
slope
,
...
@@ -1357,17 +1357,23 @@ bool CPolyLine::TestPointInside( int x, int y )
...
@@ -1357,17 +1357,23 @@ bool CPolyLine::TestPointInside( int x, int y )
&
x
,
&
y
,
&
x2
,
&
y2
);
&
x
,
&
y
,
&
x2
,
&
y2
);
if
(
ok
)
if
(
ok
)
{
{
xx
[
npts
]
=
(
int
)
x
;
xx
=
(
int
)
x
;
yy
[
npts
]
=
(
int
)
y
;
yy
=
(
int
)
y
;
if
(
xx
==
px
&&
yy
==
py
)
return
FALSE
;
// (x,y) is on a side, call it outside
else
if
(
xx
>
px
)
inside
=
not
inside
;
npts
++
;
npts
++
;
wxASSERT
(
npts
<
MAXPTS
);
// overflow
}
}
if
(
ok
==
2
)
if
(
ok
==
2
)
{
{
xx
[
npts
]
=
(
int
)
x2
;
xx
=
(
int
)
x2
;
yy
[
npts
]
=
(
int
)
y2
;
yy
=
(
int
)
y2
;
if
(
xx
==
px
&&
yy
==
py
)
return
FALSE
;
// (x,y) is on a side, call it outside
else
if
(
xx
>
px
)
inside
=
not
inside
;
npts
++
;
npts
++
;
wxASSERT
(
npts
<
MAXPTS
);
// overflow
}
}
}
}
}
}
...
@@ -1378,49 +1384,34 @@ bool CPolyLine::TestPointInside( int x, int y )
...
@@ -1378,49 +1384,34 @@ bool CPolyLine::TestPointInside( int x, int y )
wxASSERT
(
npts
%
2
==
0
);
// odd number of intersection points, error
wxASSERT
(
npts
%
2
==
0
);
// odd number of intersection points, error
// count intersection points to right of (x,y), if odd (x,y) is inside polyline
return
inside
;
int
ncount
=
0
;
for
(
int
ip
=
0
;
ip
<
npts
;
ip
++
)
{
if
(
xx
[
ip
]
==
x
&&
yy
[
ip
]
==
y
)
return
FALSE
;
// (x,y) is on a side, call it outside
else
if
(
xx
[
ip
]
>
x
)
ncount
++
;
}
if
(
ncount
%
2
)
return
TRUE
;
else
return
FALSE
;
}
}
// test to see if a point is inside polyline contour
// test to see if a point is inside polyline contour
//
//
bool
CPolyLine
::
TestPointInsideContour
(
int
icont
,
int
x
,
int
y
)
bool
CPolyLine
::
TestPointInsideContour
(
int
icont
,
int
px
,
int
p
y
)
{
{
if
(
icont
>=
GetNumContours
()
)
if
(
icont
>=
GetNumContours
()
)
return
FALSE
;
return
FALSE
;
enum
{
MAXPTS
=
100
};
if
(
!
GetClosed
()
)
if
(
!
GetClosed
()
)
wxASSERT
(
0
);
wxASSERT
(
0
);
// define line passing through (x,y), with slope = 2/3;
// define line passing through (x,y), with slope = 2/3;
// get intersection points
// get intersection points
double
xx
[
MAXPTS
],
yy
[
MAXPTS
]
;
int
xx
,
yy
;
double
slope
=
(
double
)
2.0
/
3.0
;
double
slope
=
(
double
)
2.0
/
3.0
;
double
a
=
y
-
slope
*
x
;
double
a
=
py
-
slope
*
p
x
;
int
nloops
=
0
;
int
nloops
=
0
;
int
npts
;
int
npts
;
bool
inside
=
false
;
// make this a loop so if my homebrew algorithm screws up, we try it again
// make this a loop so if my homebrew algorithm screws up, we try it again
do
do
{
{
// now find all intersection points of line with polyline sides
// now find all intersection points of line with polyline sides
npts
=
0
;
npts
=
0
;
inside
=
false
;
int
istart
=
GetContourStart
(
icont
);
int
istart
=
GetContourStart
(
icont
);
int
iend
=
GetContourEnd
(
icont
);
int
iend
=
GetContourEnd
(
icont
);
for
(
int
ic
=
istart
;
ic
<=
iend
;
ic
++
)
for
(
int
ic
=
istart
;
ic
<=
iend
;
ic
++
)
...
@@ -1431,7 +1422,7 @@ bool CPolyLine::TestPointInsideContour( int icont, int x, int y )
...
@@ -1431,7 +1422,7 @@ bool CPolyLine::TestPointInsideContour( int icont, int x, int y )
ok
=
FindLineSegmentIntersection
(
a
,
slope
,
ok
=
FindLineSegmentIntersection
(
a
,
slope
,
corner
[
iend
].
x
,
corner
[
iend
].
y
,
corner
[
iend
].
x
,
corner
[
iend
].
y
,
corner
[
istart
].
x
,
corner
[
istart
].
y
,
corner
[
istart
].
x
,
corner
[
istart
].
y
,
side_style
[
corner
.
size
()
-
1
],
side_style
[
iend
],
&
x
,
&
y
,
&
x2
,
&
y2
);
&
x
,
&
y
,
&
x2
,
&
y2
);
else
else
ok
=
FindLineSegmentIntersection
(
a
,
slope
,
ok
=
FindLineSegmentIntersection
(
a
,
slope
,
...
@@ -1441,17 +1432,23 @@ bool CPolyLine::TestPointInsideContour( int icont, int x, int y )
...
@@ -1441,17 +1432,23 @@ bool CPolyLine::TestPointInsideContour( int icont, int x, int y )
&
x
,
&
y
,
&
x2
,
&
y2
);
&
x
,
&
y
,
&
x2
,
&
y2
);
if
(
ok
)
if
(
ok
)
{
{
xx
[
npts
]
=
(
int
)
x
;
xx
=
(
int
)
x
;
yy
[
npts
]
=
(
int
)
y
;
yy
=
(
int
)
y
;
npts
++
;
npts
++
;
wxASSERT
(
npts
<
MAXPTS
);
// overflow
if
(
xx
==
px
&&
yy
==
py
)
return
FALSE
;
// (x,y) is on a side, call it outside
else
if
(
xx
>
px
)
inside
=
not
inside
;
}
}
if
(
ok
==
2
)
if
(
ok
==
2
)
{
{
xx
[
npts
]
=
(
int
)
x2
;
xx
=
(
int
)
x2
;
yy
[
npts
]
=
(
int
)
y2
;
yy
=
(
int
)
y2
;
npts
++
;
npts
++
;
wxASSERT
(
npts
<
MAXPTS
);
// overflow
if
(
xx
==
px
&&
yy
==
py
)
return
FALSE
;
// (x,y) is on a side, call it outside
else
if
(
xx
>
px
)
inside
=
not
inside
;
}
}
}
}
...
@@ -1461,20 +1458,7 @@ bool CPolyLine::TestPointInsideContour( int icont, int x, int y )
...
@@ -1461,20 +1458,7 @@ bool CPolyLine::TestPointInsideContour( int icont, int x, int y )
wxASSERT
(
npts
%
2
==
0
);
// odd number of intersection points, error
wxASSERT
(
npts
%
2
==
0
);
// odd number of intersection points, error
// count intersection points to right of (x,y), if odd (x,y) is inside polyline
return
inside
;
int
ncount
=
0
;
for
(
int
ip
=
0
;
ip
<
npts
;
ip
++
)
{
if
(
xx
[
ip
]
==
x
&&
yy
[
ip
]
==
y
)
return
FALSE
;
// (x,y) is on a side, call it outside
else
if
(
xx
[
ip
]
>
x
)
ncount
++
;
}
if
(
ncount
%
2
)
return
TRUE
;
else
return
FALSE
;
}
}
...
@@ -1545,7 +1529,6 @@ void CPolyLine::SetEndContour( int ic, bool end_contour )
...
@@ -1545,7 +1529,6 @@ void CPolyLine::SetEndContour( int ic, bool end_contour )
}
}
void
CPolyLine
::
AppendArc
(
int
xi
,
int
yi
,
int
xf
,
int
yf
,
int
xc
,
int
yc
,
int
num
)
void
CPolyLine
::
AppendArc
(
int
xi
,
int
yi
,
int
xf
,
int
yf
,
int
xc
,
int
yc
,
int
num
)
{
{
// get radius
// get radius
...
...
polygon/PolyLine.h
View file @
b7db0ef8
...
@@ -47,10 +47,10 @@ void ArmBoolEng( Bool_Engine* aBooleng, bool aConvertHoles = false );
...
@@ -47,10 +47,10 @@ void ArmBoolEng( Bool_Engine* aBooleng, bool aConvertHoles = false );
#define to_int( x ) (int) round( (x) )
#define to_int( x ) (int) round( (x) )
#ifndef min
#ifndef min
#define min( x1, x2 ) ( (x1) > (x2)
) ? (x2) : (x1
)
#define min( x1, x2 ) ( (x1) > (x2)
? (x2) : (x1)
)
#endif
#endif
#ifndef max
#ifndef max
#define max( x1, x2 ) ( (x1) > (x2)
) ? (x1) : (x2
)
#define max( x1, x2 ) ( (x1) > (x2)
? (x1) : (x2)
)
#endif
#endif
class
CRect
class
CRect
...
...
polygon/math_for_graphics.cpp
View file @
b7db0ef8
...
@@ -639,7 +639,6 @@ bool TestForIntersectionOfStraightLineSegments( int x1i, int y1i, int x1f, int y
...
@@ -639,7 +639,6 @@ bool TestForIntersectionOfStraightLineSegments( int x1i, int y1i, int x1f, int y
int
*
x
,
int
*
y
,
double
*
d
)
int
*
x
,
int
*
y
,
double
*
d
)
{
{
double
a
,
b
,
dist
;
double
a
,
b
,
dist
;
// first, test for intersection
// first, test for intersection
if
(
x1i
==
x1f
&&
x2i
==
x2f
)
if
(
x1i
==
x1f
&&
x2i
==
x2f
)
{
{
...
...
polygon/polygon_test_point_inside.cpp
0 → 100644
View file @
b7db0ef8
/////////////////////////////////////////////////////////////////////////////
// Name: polygon_test_point_inside.cpp
/////////////////////////////////////////////////////////////////////////////
#include <math.h>
#include <vector>
#include "PolyLine.h"
using
namespace
std
;
/* this algo uses the the Jordan curve theorem to find if a point is inside or outside a polygon:
* It run a semi-infinite line horizontally (increasing x, fixed y)
* out from the test point, and count how many edges it crosses.
* At each crossing, the ray switches between inside and outside.
* If odd nimber, the test point is inside the polygon
* This is called the Jordan curve theorem, or sometimes referred to as the "even-odd" test.
*/
/* 2 versions are given.
* the second version is GPL (currently used)
* the first version is for explanations and tests (used to test the second version)
* both use the same algorithm.
*/
#if 0
/* This text and the algorithm come from http://www.ecse.rpi.edu/Homepages/wrf/Research/Short_Notes/pnpoly.html
*
* PNPOLY - Point Inclusion in Polygon Test
* W. Randolph Franklin (WRF)
*
* Table of Contents
*
* 1. The C Code <#The C Code>
* 2. The Method <#The Method>
* 3. Originality <#Originality>
* 4. The Inequality Tests are Tricky <#The Inequality Tests are Tricky>
* 5. C Semantics <#C Semantics>
* 6. Point on a (Boundary) Edge <#Point on an Edge>
* 7. Multiple Components and Holes <#Listing the Vertices>
* 8. Testing Which One of Many Polygons Contains the Point <#Testing a
* Point Against Many Polygons>
* 9. Explanation of /"for (i = 0, j = nvert-1; i < nvert; j = i++)"/
* <#Explanation>
* 10. Fortran Code for the Point in Polygon Test <#Fortran Code for the
* Point in Polygon Test>
* 11. Converting the Code to All Integers <#Converting the Code to All
* Integers>
* 12. License to Use <#License to Use>
*
* The C Code
*
* Here is the code, for reference. Excluding lines with only braces, there
* are only /7 lines/ of code.
*
* int pnpoly(int nvert, float *vertx, float *verty, float ref_pointX, float ref_pointY)
* {
* int i, j, c = 0;
* for (i = 0, j = nvert-1; i < nvert; j = i++) {
* if ( ((verty[i]>ref_pointY) != (verty[j]>ref_pointY)) &&
* (ref_pointX < (vertx[j]-vertx[i]) * (ref_pointY-verty[i]) / (verty[j]-verty[i]) + vertx[i]) )
* c = !c;
* }
* return c;
* }
*
* Argument Meaning
* nvert Number of vertices in the polygon. Whether to repeat the first
* vertex at the end is discussed below.
* vertx, verty Arrays containing the x- and y-coordinates of the
* polygon's vertices.
* ref_pointX, ref_pointY X- and y-coordinate of the test point.
*
*
* The Method
*
* I run a semi-infinite ray horizontally (increasing x, fixed y) out from
* the test point, and count how many edges it crosses. At each crossing,
* the ray switches between inside and outside. This is called the /Jordan
* curve theorem/.
*
* The case of the ray going thru a vertex is handled correctly via a
* careful selection of inequalities. Don't mess with this code unless
* you're familiar with the idea of /Simulation of Simplicity/. This
* pretends to shift the ray infinitesimally to one side so that it either
* clearly intersects, or clearly doesn't touch. Since this is merely a
* conceptual, infinitesimal, shift, it never creates an intersection that
* didn't exist before, and never destroys an intersection that clearly
* existed before.
*
* The ray is tested against each edge thus:
*
* 1. Is the point in the half-plane below the extended edge? and
* 2. Is the point's X coordinate within the edge's X-range?
*
* Handling endpoints here is tricky.
*
*
* Originality
*
* I make no claim to having invented the idea. However in 1970, I did
* produce the Fortran code given below on my own, and include it in a
* package of cartographic SW publicly-distributed by David Douglas, Dept
* of Geography, Simon Fraser U and U of Ottawa.
*
* Earlier implementations of point-in-polygon testing presumably exist,
* tho the code might never have been released. Pointers to prior art,
* especially publicly available code, are welcome. One early publication,
* which doesn't handle the point on an edge, and has a typo, is this:
*
* M Shimrat, "Algorithm 112, Position of Point Relative to Polygon",
* /Comm. ACM/ 5(8), Aug 1962, p 434.
*
* A well-written recent summary is this:
*
* E Haines, /Point in Polygon Strategies/,
* http://www.acm.org/pubs/tog/editors/erich/ptinpoly/, 1994.
*
*
* The Inequality Tests are Tricky
*
* If translating the program to another language, be sure to get the
* inequalities in the conditional correct. They were carefully chosen to
* make the program work correctly when the point is vertically below a vertex.
*
* Several people have thought that my program was wrong, when really
* /they/ had gotten the inequalities wrong.
*
*
* C Semantics
*
* My code uses the fact that, in the C language, when executing the code
|a&&b|, if |a| is false, then |b| must not be evaluated. If your
* compiler doesn't do this, then it's not implementing C, and you will get
* a divide-by-zero, i.a., when the test point is vertically in line with a
* vertical edge. When translating this code to another language with
* different semantics, then you must implement this test explicitly.
*
*
* Point on a (Boundary) Edge
*
* PNPOLY partitions the plane into points inside the polygon and points
* outside the polygon. Points that are on the boundary are classified as
* either inside or outside.
*
* 1.
*
* Any particular point is always classified consistently the same
* way. In the following figure, consider what PNPOLY would say when
* the red point, /P/, is tested against the two triangles, /T_L /
* and /T_R /. Depending on internal roundoff errors, PNPOLY may say
* that /P/ is in /T_L / or in /T_R /. However it will always give
* the same answer when /P/ is tested against those triangles. That
* is, if PNPOLY finds that /P/ is in /T_L /, then it will find that
* /P/ is not /T_R /. If PNPOLY finds that /P/ is not in /T_L /, then
* it will find that /P/ is in /T_R /.
*
* 2. If you want to know when a point is exactly on the boundary, you
* need another program. This is only one of many functions that
* PNPOLY lacks; it also doesn't predict tomorrow's weather. You are
* free to extend PNPOLY's source code.
*
* 3. The first reason for this is the numerical analysis position that
* you should not be testing exact equality unless your input is
* exact. Even then, computational roundoff error would often make
* the result wrong.
*
* 4. The second reason is that, if you partition a region of the plane
* into polygons, i.e., form a planar graph, then PNPOLY will locate
* each point into exactly one polygon. In other words, PNPOLY
* considers each polygon to be topologically a semi-open set. This
* makes things simpler, i.e., causes fewer special cases, if you use
* PNPOLY as part of a larger system. Examples of this include
* locating a point in a planar graph, and intersecting two planar
* graphs.
*
*
* Explanation of /"for (i = 0, j = nvert-1; i < nvert; j = i++)"/
*
* The intention is to execute the loop for each i from 0 to nvert-1. For
* each iteration, j is i-1. However that wraps, so if i=0 then j=nvert-1.
* Therefore the current edge runs between verts j and i, and the loop is
* done once per edge. In detail:
*
* 1. Start by setting i and j:
* i = 0
* j = nvert-1
* 2. If i<nvert is false then exit the loop.
* 3. Do the loop body.
* 4. Set j=i and then
* add 1 to i and then
* 5. Go back to step 2.
*
*
*
* Converting the Code to All Integers
*
* If you want to convert the code from floats to integers, consider these
* issues.
*
* 1. On many current processors floats are at least as fast as ints.
* 2. If you move the denominator over to the other side of the
* inequality, remember that, when the denominator is negative, the
* inequality will flip.
* 3. If coordinates are large enough, the multiplication will silently
* overflow.
*
*
* License to Use
* Copyright (c) 1970-2003, Wm. Randolph Franklin
*
* 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:
*
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimers.
* 2. Redistributions in binary form must reproduce the above copyright
* notice in the documentation and/or other materials provided with
* the distribution.
* 3. The name of W. Randolph Franklin may not be used to endorse or
* promote products derived from this Software without specific prior
* written permission.
*
* 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.
*
*
* Copyright © 1994-2006, W Randolph Franklin (WRF)
* <http://wrfranklin.org/> You may use my material for non-profit research
* and education, provided that you credit me, and link back to my home page.
* http://www.ecse.rpi.edu/Homepages/wrf/Research/Short_Notes/pnpoly.html,
* 05/20/2008 20:36:42
*/
bool TestPointInsidePolygon( std::vector <CPolyPt> aPolysList,
int istart,
int iend,
int refx,
int refy )
/** Function TestPointInsidePolygon
* test if a point is inside or outside a polygon.
* @param aPolysList: the list of polygons
* @param istart: the starting point of a given polygon in m_FilledPolysList.
* @param iend: the ending point of the polygon in m_FilledPolysList.
* @param refx, refy: the point coordinate to test
* @return true if the point is inside, false for outside
*/
{
double ref_pointX = refx;
double ref_pointY = refy;
bool inside = false;
for( int ii = istart, jj = iend; ii <= iend; jj = ii++ )
{
double seg_startX, seg_startY; // starting point for the segment to test
seg_startX = aPolysList[ii].x;
seg_startY = aPolysList[ii].y;
double seg_endX, seg_endY; // ending point for the segment to test
seg_endX = aPolysList[jj].x;
seg_endY = aPolysList[jj].y;
if( ( ( seg_startY > ref_pointY ) != (seg_endY > ref_pointY ) )
&& (ref_pointX <
(seg_endX -
seg_startX) * (ref_pointY - seg_startY) / (seg_endY - seg_startY) + seg_startX) )
inside = not inside;
}
return inside;
}
#else
/* this algo come from freePCB.
*/
bool
TestPointInsidePolygon
(
std
::
vector
<
CPolyPt
>
aPolysList
,
int
istart
,
int
iend
,
int
refx
,
int
refy
)
/** Function TestPointInsidePolygon
* test if a point is inside or outside a polygon.
* if a point is on a outline segment, it is considered outside the polygon
* @param aPolysList: the list of polygons
* @param istart: the starting point of a given polygon in m_FilledPolysList.
* @param iend: the ending point of the polygon in m_FilledPolysList.
* @param refx,refy: the point coordinate to test
* @return true if the point is inside, false for outside
* this algorithm come from FreePCB.
*/
{
#define OUTSIDE_IF_ON_SIDE 0 // = 1 if we consider point on a side outside the polygon
// define line passing through (x,y), with slope = 0 (horizontal line)
// get intersection points
// count intersection points to right of (x,y), if odd (x,y) is inside polyline
int
xx
,
yy
;
double
slope
=
0
;
double
a
=
refy
-
slope
*
refx
;
int
ics
,
ice
;
bool
inside
=
false
;
// find all intersection points of line with polyline sides
for
(
ics
=
istart
,
ice
=
iend
;
ics
<=
iend
;
ice
=
ics
++
)
{
double
x
,
y
,
x2
,
y2
;
int
ok
=
FindLineSegmentIntersection
(
a
,
slope
,
aPolysList
[
ics
].
x
,
aPolysList
[
ics
].
y
,
aPolysList
[
ice
].
x
,
aPolysList
[
ice
].
y
,
0
,
&
x
,
&
y
,
&
x2
,
&
y2
);
if
(
ok
)
{
xx
=
(
int
)
x
;
yy
=
(
int
)
y
;
#if OUTSIDE_IF_ON_SIDE
if
(
xx
==
refx
&&
yy
==
refy
)
return
false
;
// (x,y) is on a side, call it outside
else
#endif
if
(
xx
>
refx
)
inside
=
not
inside
;
}
if
(
ok
==
2
)
{
xx
=
(
int
)
x2
;
yy
=
(
int
)
y2
;
#if OUTSIDE_IF_ON_SIDE
if
(
xx
==
refx
&&
yy
==
refy
)
return
false
;
// (x,y) is on a side, call it outside
else
#endif
if
(
xx
>
refx
)
inside
=
not
inside
;
}
}
return
inside
;
}
#endif
polygon/polygon_test_point_inside.h
0 → 100644
View file @
b7db0ef8
/////////////////////////////////////////////////////////////////////////////
// Name: polygon_test_point_inside.h
/////////////////////////////////////////////////////////////////////////////
using
namespace
std
;
/** Function TestPointInsidePolygon
* test if a point is inside or outside a polygon.
* @param aPolysList: the list of polygons
* @param istart: the starting point of a given polygon in m_FilledPolysList.
* @param iend: the ending point of the polygon in m_FilledPolysList.
* @param refx, refy: the point coordinate to test
* @return true if the point is inside, false for outside
*/
bool
TestPointInsidePolygon
(
std
::
vector
<
CPolyPt
>
aPolysList
,
int
istart
,
int
iend
,
int
refx
,
int
refy
);
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