mirror of https://github.com/CGAL/cgal
Fixed all include files and updated the examples.
This commit is contained in:
Ron Wein
parent
dbccc9c582
commit
c8b9eb5893
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@ -431,6 +431,13 @@ Developers_manual/doc_tex/Developers_manual/fig/use_real.eps -text svneol=unset#
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Developers_manual/doc_tex/Developers_manual/fig/use_real.gif -text svneol=unset#image/gif
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Developers_manual/doc_tex/Developers_manual/fig/use_real.gif -text svneol=unset#image/gif
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Developers_manual/doc_tex/Developers_manual/fig/use_real.pdf -text svneol=unset#application/pdf
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Developers_manual/doc_tex/Developers_manual/fig/use_real.pdf -text svneol=unset#application/pdf
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Envelope_2/examples/Envelope_2/ex_envelope_segments.cpp -text
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Envelope_2/examples/Envelope_2/ex_envelope_segments.cpp -text
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Envelope_3/doc_tex/Envelope_3/fig/ex_tri_le.eps -text svneol=unset#application/postscript
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Envelope_3/doc_tex/Envelope_3/fig/ex_tri_le.fig -text svneol=unset#application/octet-stream
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Envelope_3/doc_tex/Envelope_3/fig/ex_tri_ue.eps -text svneol=unset#application/postscript
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Envelope_3/doc_tex/Envelope_3/fig/ex_tri_ue.fig -text svneol=unset#application/octet-stream
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Envelope_3/doc_tex/Envelope_3/fig/ex_triangles.eps -text svneol=unset#application/postscript
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Envelope_3/doc_tex/Envelope_3/fig/ex_triangles.fig -text svneol=unset#application/octet-stream
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Envelope_3/examples/Envelope_3/spheres.dat -text
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Generator/demo/Generator/help/index.html svneol=native#text/html
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Generator/demo/Generator/help/index.html svneol=native#text/html
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Generator/doc_tex/Generator/Segment_generator_prog1.gif -text svneol=unset#image/gif
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Generator/doc_tex/Generator/Segment_generator_prog1.gif -text svneol=unset#image/gif
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Generator/doc_tex/Generator/Segment_generator_prog1.pdf -text svneol=unset#application/pdf
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Generator/doc_tex/Generator/Segment_generator_prog1.pdf -text svneol=unset#application/pdf
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@ -0,0 +1,493 @@
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%!PS-Adobe-2.0 EPSF-2.0
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%%Title: ex_tri_le.fig
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%%Creator: fig2dev Version 3.2 Patchlevel 5-alpha5
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%%CreationDate: Tue Aug 1 15:20:25 2006
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%%For: wein@cgal (Ron Wein,,09-576985,)
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%%BoundingBox: 0 0 257 257
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%Magnification: 1.0000
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%%EndComments
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/MyAppDict 100 dict dup begin def
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/$F2psDict 200 dict def
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$F2psDict begin
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$F2psDict /mtrx matrix put
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/col-1 {0 setgray} bind def
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save
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newpath 0 257 moveto 0 0 lineto 257 0 lineto 257 257 lineto closepath clip newpath
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-381.9 411.8 translate
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1 -1 scale
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% This junk string is used by the show operators
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/PATsstr 1 string def
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/PATawidthshow { % cx cy cchar rx ry string
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% Loop over each character in the string
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{ % cx cy cchar rx ry char
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% Show the character
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dup % cx cy cchar rx ry char char
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PATsstr dup 0 4 -1 roll put % cx cy cchar rx ry char (char)
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false charpath % cx cy cchar rx ry char
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/clip load PATdraw
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% Move past the character (charpath modified the
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% current point)
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currentpoint % cx cy cchar rx ry char x y
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newpath
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moveto % cx cy cchar rx ry char
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% Reposition by cx,cy if the character in the string is cchar
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3 index eq { % cx cy cchar rx ry
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4 index 4 index rmoveto
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} if
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% Reposition all characters by rx ry
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2 copy rmoveto % cx cy cchar rx ry
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} forall
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pop pop pop pop pop % -
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currentpoint
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newpath
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moveto
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} bind def
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/PATcg {
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7 dict dup begin
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/lw currentlinewidth def
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/lc currentlinecap def
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/lj currentlinejoin def
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/ml currentmiterlimit def
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/ds [ currentdash ] def
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/cc [ currentrgbcolor ] def
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/cm matrix currentmatrix def
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end
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} bind def
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% PATdraw - calculates the boundaries of the object and
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% fills it with the current pattern
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/PATdraw { % proc
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save exch
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PATpcalc % proc nw nh px py
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5 -1 roll exec % nw nh px py
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newpath
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PATfill % -
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restore
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} bind def
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% PATfill - performs the tiling for the shape
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/PATfill { % nw nh px py PATfill -
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PATDict /CurrentPattern get dup begin
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setfont
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% Set the coordinate system to Pattern Space
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PatternGState PATsg
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% Set the color for uncolored pattezns
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PaintType 2 eq { PATDict /PColor get PATsc } if
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% Create the string for showing
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3 index string % nw nh px py str
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% Loop for each of the pattern sources
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0 1 Multi 1 sub { % nw nh px py str source
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% Move to the starting location
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3 index 3 index % nw nh px py str source px py
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moveto % nw nh px py str source
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% For multiple sources, set the appropriate color
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Multi 1 ne { dup PC exch get PATsc } if
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% Set the appropriate string for the source
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0 1 7 index 1 sub { 2 index exch 2 index put } for pop
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% Loop over the number of vertical cells
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3 index % nw nh px py str nh
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{ % nw nh px py str
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currentpoint % nw nh px py str cx cy
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2 index oldshow % nw nh px py str cx cy
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YStep add moveto % nw nh px py str
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} repeat % nw nh px py str
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} for
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5 { pop } repeat
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end
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} bind def
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% PATkshow - kshow with the current pattezn
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/PATkshow { % proc string
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exch bind % string proc
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1 index 0 get % string proc char
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% Loop over all but the last character in the string
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0 1 4 index length 2 sub {
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% string proc char idx
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% Find the n+1th character in the string
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3 index exch 1 add get % string proc char char+1
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exch 2 copy % strinq proc char+1 char char+1 char
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% Now show the nth character
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PATsstr dup 0 4 -1 roll put % string proc chr+1 chr chr+1 (chr)
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false charpath % string proc char+1 char char+1
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/clip load PATdraw
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% Move past the character (charpath modified the current point)
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currentpoint newpath moveto
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% Execute the user proc (should consume char and char+1)
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mark 3 1 roll % string proc char+1 mark char char+1
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4 index exec % string proc char+1 mark...
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cleartomark % string proc char+1
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} for
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% Now display the last character
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PATsstr dup 0 4 -1 roll put % string proc (char+1)
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false charpath % string proc
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/clip load PATdraw
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neewath
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pop pop % -
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} bind def
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% PATmp - the makepattern equivalent
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/PATmp { % patdict patmtx PATmp patinstance
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exch dup length 7 add % We will add 6 new entries plus 1 FID
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dict copy % Create a new dictionary
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begin
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% Matrix to install when painting the pattern
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TilingType PATtcalc
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/PatternGState PATcg def
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PatternGState /cm 3 -1 roll put
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% Check for multi pattern sources (Level 1 fast color patterns)
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currentdict /Multi known not { /Multi 1 def } if
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% Font dictionary definitions
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/FontType 3 def
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% Create a dummy encoding vector
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/Encoding 256 array def
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3 string 0 1 255 {
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Encoding exch dup 3 index cvs cvn put } for pop
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/FontMatrix matrix def
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/FontBBox BBox def
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/BuildChar {
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mark 3 1 roll % mark dict char
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exch begin
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Multi 1 ne {PaintData exch get}{pop} ifelse % mark [paintdata]
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PaintType 2 eq Multi 1 ne or
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{ XStep 0 FontBBox aload pop setcachedevice }
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{ XStep 0 setcharwidth } ifelse
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currentdict % mark [paintdata] dict
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/PaintProc load % mark [paintdata] dict paintproc
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end
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gsave
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false PATredef exec true PATredef
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grestore
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cleartomark % -
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} bind def
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currentdict
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end % newdict
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/foo exch % /foo newlict
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definefont % newfont
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} bind def
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% PATpcalc - calculates the starting point and width/height
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% of the tile fill for the shape
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/PATpcalc { % - PATpcalc nw nh px py
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PATDict /CurrentPattern get begin
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gsave
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% Set up the coordinate system to Pattern Space
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% and lock down pattern
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PatternGState /cm get setmatrix
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BBox aload pop pop pop translate
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% Determine the bounding box of the shape
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pathbbox % llx lly urx ury
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grestore
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% Determine (nw, nh) the # of cells to paint width and height
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PatHeight div ceiling % llx lly urx qh
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4 1 roll % qh llx lly urx
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PatWidth div ceiling % qh llx lly qw
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4 1 roll % qw qh llx lly
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PatHeight div floor % qw qh llx ph
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4 1 roll % ph qw qh llx
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PatWidth div floor % ph qw qh pw
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4 1 roll % pw ph qw qh
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2 index sub cvi abs % pw ph qs qh-ph
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exch 3 index sub cvi abs exch % pw ph nw=qw-pw nh=qh-ph
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% Determine the starting point of the pattern fill
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%(px, py)
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4 2 roll % nw nh pw ph
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PatHeight mul % nw nh pw py
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exch % nw nh py pw
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PatWidth mul exch % nw nh px py
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end
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} bind def
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% Save the original routines so that we can use them later on
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/oldfill /fill load def
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/oldeofill /eofill load def
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/oldstroke /stroke load def
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/oldshow /show load def
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/oldashow /ashow load def
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/oldwidthshow /widthshow load def
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/oldawidthshow /awidthshow load def
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/oldkshow /kshow load def
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% These defs are necessary so that subsequent procs don't bind in
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% the originals
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/fill { oldfill } bind def
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/eofill { oldeofill } bind def
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/stroke { oldstroke } bind def
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/show { oldshow } bind def
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/ashow { oldashow } bind def
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/widthshow { oldwidthshow } bind def
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/awidthshow { oldawidthshow } bind def
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/kshow { oldkshow } bind def
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/PATredef {
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MyAppDict begin
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{
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/fill { /clip load PATdraw newpath } bind def
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/eofill { /eoclip load PATdraw newpath } bind def
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/stroke { PATstroke } bind def
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/show { 0 0 null 0 0 6 -1 roll PATawidthshow } bind def
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/ashow { 0 0 null 6 3 roll PATawidthshow }
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bind def
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/widthshow { 0 0 3 -1 roll PATawidthshow }
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bind def
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/awidthshow { PATawidthshow } bind def
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/kshow { PATkshow } bind def
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} {
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/fill { oldfill } bind def
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/eofill { oldeofill } bind def
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/stroke { oldstroke } bind def
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/show { oldshow } bind def
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/ashow { oldashow } bind def
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/widthshow { oldwidthshow } bind def
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/awidthshow { oldawidthshow } bind def
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/kshow { oldkshow } bind def
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} ifelse
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end
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} bind def
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false PATredef
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% Conditionally define setcmykcolor if not available
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/setcmykcolor where { pop } {
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/setcmykcolor {
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1 sub 4 1 roll
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3 {
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3 index add neg dup 0 lt { pop 0 } if 3 1 roll
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} repeat
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setrgbcolor - pop
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} bind def
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} ifelse
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/PATsc { % colorarray
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aload length % c1 ... cn length
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dup 1 eq { pop setgray } { 3 eq { setrgbcolor } { setcmykcolor
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} ifelse } ifelse
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} bind def
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/PATsg { % dict
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begin
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lw setlinewidth
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lc setlinecap
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lj setlinejoin
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ml setmiterlimit
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ds aload pop setdash
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cc aload pop setrgbcolor
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cm setmatrix
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end
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} bind def
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/PATDict 3 dict def
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/PATsp {
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true PATredef
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PATDict begin
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/CurrentPattern exch def
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% If it's an uncolored pattern, save the color
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CurrentPattern /PaintType get 2 eq {
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/PColor exch def
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} if
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/CColor [ currentrgbcolor ] def
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end
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} bind def
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% PATstroke - stroke with the current pattern
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/PATstroke {
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countdictstack
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save
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mark
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{
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currentpoint strokepath moveto
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PATpcalc % proc nw nh px py
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clip newpath PATfill
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} stopped {
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(*** PATstroke Warning: Path is too complex, stroking
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with gray) =
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cleartomark
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restore
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countdictstack exch sub dup 0 gt
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{ { end } repeat } { pop } ifelse
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gsave 0.5 setgray oldstroke grestore
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} { pop restore pop } ifelse
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newpath
|
||||||
|
} bind def
|
||||||
|
/PATtcalc { % modmtx tilingtype PATtcalc tilematrix
|
||||||
|
% Note: tiling types 2 and 3 are not supported
|
||||||
|
gsave
|
||||||
|
exch concat % tilingtype
|
||||||
|
matrix currentmatrix exch % cmtx tilingtype
|
||||||
|
% Tiling type 1 and 3: constant spacing
|
||||||
|
2 ne {
|
||||||
|
% Distort the pattern so that it occupies
|
||||||
|
% an integral number of device pixels
|
||||||
|
dup 4 get exch dup 5 get exch % tx ty cmtx
|
||||||
|
XStep 0 dtransform
|
||||||
|
round exch round exch % tx ty cmtx dx.x dx.y
|
||||||
|
XStep div exch XStep div exch % tx ty cmtx a b
|
||||||
|
0 YStep dtransform
|
||||||
|
round exch round exch % tx ty cmtx a b dy.x dy.y
|
||||||
|
YStep div exch YStep div exch % tx ty cmtx a b c d
|
||||||
|
7 -3 roll astore % { a b c d tx ty }
|
||||||
|
} if
|
||||||
|
grestore
|
||||||
|
} bind def
|
||||||
|
/PATusp {
|
||||||
|
false PATredef
|
||||||
|
PATDict begin
|
||||||
|
CColor PATsc
|
||||||
|
end
|
||||||
|
} bind def
|
||||||
|
|
||||||
|
% left45
|
||||||
|
11 dict begin
|
||||||
|
/PaintType 1 def
|
||||||
|
/PatternType 1 def
|
||||||
|
/TilingType 1 def
|
||||||
|
/BBox [0 0 1 1] def
|
||||||
|
/XStep 1 def
|
||||||
|
/YStep 1 def
|
||||||
|
/PatWidth 1 def
|
||||||
|
/PatHeight 1 def
|
||||||
|
/Multi 2 def
|
||||||
|
/PaintData [
|
||||||
|
{ clippath } bind
|
||||||
|
{ 20 20 true [ 20 0 0 -20 0 20 ]
|
||||||
|
{<8020004010002008001004000802000401000200
|
||||||
|
8001004000802000401080200040100020080010
|
||||||
|
0400080200040100020080010040008020004010>}
|
||||||
|
imagemask } bind
|
||||||
|
] def
|
||||||
|
/PaintProc {
|
||||||
|
pop
|
||||||
|
exec fill
|
||||||
|
} def
|
||||||
|
currentdict
|
||||||
|
end
|
||||||
|
/P4 exch def
|
||||||
|
|
||||||
|
% right45
|
||||||
|
11 dict begin
|
||||||
|
/PaintType 1 def
|
||||||
|
/PatternType 1 def
|
||||||
|
/TilingType 1 def
|
||||||
|
/BBox [0 0 1 1] def
|
||||||
|
/XStep 1 def
|
||||||
|
/YStep 1 def
|
||||||
|
/PatWidth 1 def
|
||||||
|
/PatHeight 1 def
|
||||||
|
/Multi 2 def
|
||||||
|
/PaintData [
|
||||||
|
{ clippath } bind
|
||||||
|
{ 20 20 true [ 20 0 0 -20 0 20 ]
|
||||||
|
{<0040100080200100400200800401000802001004
|
||||||
|
0020080040100080200000401000802001004002
|
||||||
|
0080040100080200100400200800401000802000>}
|
||||||
|
imagemask } bind
|
||||||
|
] def
|
||||||
|
/PaintProc {
|
||||||
|
pop
|
||||||
|
exec fill
|
||||||
|
} def
|
||||||
|
currentdict
|
||||||
|
end
|
||||||
|
/P5 exch def
|
||||||
|
|
||||||
|
/cp {closepath} bind def
|
||||||
|
/ef {eofill} bind def
|
||||||
|
/gr {grestore} bind def
|
||||||
|
/gs {gsave} bind def
|
||||||
|
/sa {save} bind def
|
||||||
|
/rs {restore} bind def
|
||||||
|
/l {lineto} bind def
|
||||||
|
/m {moveto} bind def
|
||||||
|
/rm {rmoveto} bind def
|
||||||
|
/n {newpath} bind def
|
||||||
|
/s {stroke} bind def
|
||||||
|
/sh {show} bind def
|
||||||
|
/slc {setlinecap} bind def
|
||||||
|
/slj {setlinejoin} bind def
|
||||||
|
/slw {setlinewidth} bind def
|
||||||
|
/srgb {setrgbcolor} bind def
|
||||||
|
/rot {rotate} bind def
|
||||||
|
/sc {scale} bind def
|
||||||
|
/sd {setdash} bind def
|
||||||
|
/ff {findfont} bind def
|
||||||
|
/sf {setfont} bind def
|
||||||
|
/scf {scalefont} bind def
|
||||||
|
/sw {stringwidth} bind def
|
||||||
|
/tr {translate} bind def
|
||||||
|
/tnt {dup dup currentrgbcolor
|
||||||
|
4 -2 roll dup 1 exch sub 3 -1 roll mul add
|
||||||
|
4 -2 roll dup 1 exch sub 3 -1 roll mul add
|
||||||
|
4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb}
|
||||||
|
bind def
|
||||||
|
/shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul
|
||||||
|
4 -2 roll mul srgb} bind def
|
||||||
|
/$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def
|
||||||
|
/$F2psEnd {$F2psEnteredState restore end} def
|
||||||
|
|
||||||
|
$F2psBegin
|
||||||
|
10 setmiterlimit
|
||||||
|
0 slj 0 slc
|
||||||
|
0.06299 0.06299 sc
|
||||||
|
%
|
||||||
|
% Fig objects follow
|
||||||
|
%
|
||||||
|
%
|
||||||
|
% here starts figure with depth 50
|
||||||
|
% Polyline
|
||||||
|
0 slj
|
||||||
|
0 slc
|
||||||
|
7.500 slw
|
||||||
|
n 6750 5850 m 8100 5040 l 8100 3960 l 6750 3150 l
|
||||||
|
cp gs /PC [[1.00 1.00 1.00] [1.00 0.00 0.00]] def
|
||||||
|
15.00 15.00 sc P5 [16 0 0 -16 450.00 210.00] PATmp PATsp ef gr PATusp gs col4 s gr
|
||||||
|
% Polyline
|
||||||
|
n 9450 5850 m 8100 5040 l 8100 3960 l 9450 3150 l
|
||||||
|
cp gs /PC [[1.00 1.00 1.00] [0.00 0.00 1.00]] def
|
||||||
|
15.00 15.00 sc P4 [16 0 0 -16 540.00 210.00] PATmp PATsp ef gr PATusp gs col1 s gr
|
||||||
|
% here ends figure;
|
||||||
|
%
|
||||||
|
% here starts figure with depth 40
|
||||||
|
% Polyline
|
||||||
|
0 slj
|
||||||
|
0 slc
|
||||||
|
30.000 slw
|
||||||
|
n 6750 5850 m 8100 5040 l 8100 3960 l 6750 3150 l
|
||||||
|
cp gs col0 s gr
|
||||||
|
% Polyline
|
||||||
|
n 9450 5850 m 8100 5040 l 8100 3960 l 9450 3150 l
|
||||||
|
cp gs col0 s gr
|
||||||
|
% Polyline
|
||||||
|
7.500 slw
|
||||||
|
n 6075 2475 m 10125 2475 l 10125 6525 l 6075 6525 l
|
||||||
|
cp gs col0 s gr
|
||||||
|
% here ends figure;
|
||||||
|
$F2psEnd
|
||||||
|
rs
|
||||||
|
end
|
||||||
|
showpage
|
||||||
|
%%Trailer
|
||||||
|
%EOF
|
||||||
|
|
@ -0,0 +1,19 @@
|
||||||
|
#FIG 3.2 Produced by xfig version 3.2.5-alpha5
|
||||||
|
Landscape
|
||||||
|
Center
|
||||||
|
Metric
|
||||||
|
A4
|
||||||
|
100.00
|
||||||
|
Single
|
||||||
|
-2
|
||||||
|
1200 2
|
||||||
|
2 3 0 3 0 7 40 -1 -1 0.000 0 0 -1 0 0 5
|
||||||
|
6750 5850 8100 5040 8100 3960 6750 3150 6750 5850
|
||||||
|
2 3 0 3 0 7 40 -1 -1 0.000 0 0 -1 0 0 5
|
||||||
|
9450 5850 8100 5040 8100 3960 9450 3150 9450 5850
|
||||||
|
2 3 0 1 4 7 50 -1 45 0.000 0 0 -1 0 0 5
|
||||||
|
6750 5850 8100 5040 8100 3960 6750 3150 6750 5850
|
||||||
|
2 3 0 1 1 7 50 -1 44 0.000 0 0 -1 0 0 5
|
||||||
|
9450 5850 8100 5040 8100 3960 9450 3150 9450 5850
|
||||||
|
2 2 0 1 0 7 40 -1 -1 0.000 0 0 -1 0 0 5
|
||||||
|
6075 2475 10125 2475 10125 6525 6075 6525 6075 2475
|
||||||
|
|
@ -0,0 +1,503 @@
|
||||||
|
%!PS-Adobe-2.0 EPSF-2.0
|
||||||
|
%%Title: ex_tri_ue.fig
|
||||||
|
%%Creator: fig2dev Version 3.2 Patchlevel 5-alpha5
|
||||||
|
%%CreationDate: Tue Aug 1 15:20:34 2006
|
||||||
|
%%For: wein@cgal (Ron Wein,,09-576985,)
|
||||||
|
%%BoundingBox: 0 0 257 257
|
||||||
|
%Magnification: 1.0000
|
||||||
|
%%EndComments
|
||||||
|
/MyAppDict 100 dict dup begin def
|
||||||
|
/$F2psDict 200 dict def
|
||||||
|
$F2psDict begin
|
||||||
|
$F2psDict /mtrx matrix put
|
||||||
|
/col-1 {0 setgray} bind def
|
||||||
|
/col0 {0.000 0.000 0.000 srgb} bind def
|
||||||
|
/col1 {0.000 0.000 1.000 srgb} bind def
|
||||||
|
/col2 {0.000 1.000 0.000 srgb} bind def
|
||||||
|
/col3 {0.000 1.000 1.000 srgb} bind def
|
||||||
|
/col4 {1.000 0.000 0.000 srgb} bind def
|
||||||
|
/col5 {1.000 0.000 1.000 srgb} bind def
|
||||||
|
/col6 {1.000 1.000 0.000 srgb} bind def
|
||||||
|
/col7 {1.000 1.000 1.000 srgb} bind def
|
||||||
|
/col8 {0.000 0.000 0.560 srgb} bind def
|
||||||
|
/col9 {0.000 0.000 0.690 srgb} bind def
|
||||||
|
/col10 {0.000 0.000 0.820 srgb} bind def
|
||||||
|
/col11 {0.530 0.810 1.000 srgb} bind def
|
||||||
|
/col12 {0.000 0.560 0.000 srgb} bind def
|
||||||
|
/col13 {0.000 0.690 0.000 srgb} bind def
|
||||||
|
/col14 {0.000 0.820 0.000 srgb} bind def
|
||||||
|
/col15 {0.000 0.560 0.560 srgb} bind def
|
||||||
|
/col16 {0.000 0.690 0.690 srgb} bind def
|
||||||
|
/col17 {0.000 0.820 0.820 srgb} bind def
|
||||||
|
/col18 {0.560 0.000 0.000 srgb} bind def
|
||||||
|
/col19 {0.690 0.000 0.000 srgb} bind def
|
||||||
|
/col20 {0.820 0.000 0.000 srgb} bind def
|
||||||
|
/col21 {0.560 0.000 0.560 srgb} bind def
|
||||||
|
/col22 {0.690 0.000 0.690 srgb} bind def
|
||||||
|
/col23 {0.820 0.000 0.820 srgb} bind def
|
||||||
|
/col24 {0.500 0.190 0.000 srgb} bind def
|
||||||
|
/col25 {0.630 0.250 0.000 srgb} bind def
|
||||||
|
/col26 {0.750 0.380 0.000 srgb} bind def
|
||||||
|
/col27 {1.000 0.500 0.500 srgb} bind def
|
||||||
|
/col28 {1.000 0.630 0.630 srgb} bind def
|
||||||
|
/col29 {1.000 0.750 0.750 srgb} bind def
|
||||||
|
/col30 {1.000 0.880 0.880 srgb} bind def
|
||||||
|
/col31 {1.000 0.840 0.000 srgb} bind def
|
||||||
|
|
||||||
|
end
|
||||||
|
save
|
||||||
|
newpath 0 257 moveto 0 0 lineto 257 0 lineto 257 257 lineto closepath clip newpath
|
||||||
|
-126.8 411.8 translate
|
||||||
|
1 -1 scale
|
||||||
|
|
||||||
|
% This junk string is used by the show operators
|
||||||
|
/PATsstr 1 string def
|
||||||
|
/PATawidthshow { % cx cy cchar rx ry string
|
||||||
|
% Loop over each character in the string
|
||||||
|
{ % cx cy cchar rx ry char
|
||||||
|
% Show the character
|
||||||
|
dup % cx cy cchar rx ry char char
|
||||||
|
PATsstr dup 0 4 -1 roll put % cx cy cchar rx ry char (char)
|
||||||
|
false charpath % cx cy cchar rx ry char
|
||||||
|
/clip load PATdraw
|
||||||
|
% Move past the character (charpath modified the
|
||||||
|
% current point)
|
||||||
|
currentpoint % cx cy cchar rx ry char x y
|
||||||
|
newpath
|
||||||
|
moveto % cx cy cchar rx ry char
|
||||||
|
% Reposition by cx,cy if the character in the string is cchar
|
||||||
|
3 index eq { % cx cy cchar rx ry
|
||||||
|
4 index 4 index rmoveto
|
||||||
|
} if
|
||||||
|
% Reposition all characters by rx ry
|
||||||
|
2 copy rmoveto % cx cy cchar rx ry
|
||||||
|
} forall
|
||||||
|
pop pop pop pop pop % -
|
||||||
|
currentpoint
|
||||||
|
newpath
|
||||||
|
moveto
|
||||||
|
} bind def
|
||||||
|
/PATcg {
|
||||||
|
7 dict dup begin
|
||||||
|
/lw currentlinewidth def
|
||||||
|
/lc currentlinecap def
|
||||||
|
/lj currentlinejoin def
|
||||||
|
/ml currentmiterlimit def
|
||||||
|
/ds [ currentdash ] def
|
||||||
|
/cc [ currentrgbcolor ] def
|
||||||
|
/cm matrix currentmatrix def
|
||||||
|
end
|
||||||
|
} bind def
|
||||||
|
% PATdraw - calculates the boundaries of the object and
|
||||||
|
% fills it with the current pattern
|
||||||
|
/PATdraw { % proc
|
||||||
|
save exch
|
||||||
|
PATpcalc % proc nw nh px py
|
||||||
|
5 -1 roll exec % nw nh px py
|
||||||
|
newpath
|
||||||
|
PATfill % -
|
||||||
|
restore
|
||||||
|
} bind def
|
||||||
|
% PATfill - performs the tiling for the shape
|
||||||
|
/PATfill { % nw nh px py PATfill -
|
||||||
|
PATDict /CurrentPattern get dup begin
|
||||||
|
setfont
|
||||||
|
% Set the coordinate system to Pattern Space
|
||||||
|
PatternGState PATsg
|
||||||
|
% Set the color for uncolored pattezns
|
||||||
|
PaintType 2 eq { PATDict /PColor get PATsc } if
|
||||||
|
% Create the string for showing
|
||||||
|
3 index string % nw nh px py str
|
||||||
|
% Loop for each of the pattern sources
|
||||||
|
0 1 Multi 1 sub { % nw nh px py str source
|
||||||
|
% Move to the starting location
|
||||||
|
3 index 3 index % nw nh px py str source px py
|
||||||
|
moveto % nw nh px py str source
|
||||||
|
% For multiple sources, set the appropriate color
|
||||||
|
Multi 1 ne { dup PC exch get PATsc } if
|
||||||
|
% Set the appropriate string for the source
|
||||||
|
0 1 7 index 1 sub { 2 index exch 2 index put } for pop
|
||||||
|
% Loop over the number of vertical cells
|
||||||
|
3 index % nw nh px py str nh
|
||||||
|
{ % nw nh px py str
|
||||||
|
currentpoint % nw nh px py str cx cy
|
||||||
|
2 index oldshow % nw nh px py str cx cy
|
||||||
|
YStep add moveto % nw nh px py str
|
||||||
|
} repeat % nw nh px py str
|
||||||
|
} for
|
||||||
|
5 { pop } repeat
|
||||||
|
end
|
||||||
|
} bind def
|
||||||
|
|
||||||
|
% PATkshow - kshow with the current pattezn
|
||||||
|
/PATkshow { % proc string
|
||||||
|
exch bind % string proc
|
||||||
|
1 index 0 get % string proc char
|
||||||
|
% Loop over all but the last character in the string
|
||||||
|
0 1 4 index length 2 sub {
|
||||||
|
% string proc char idx
|
||||||
|
% Find the n+1th character in the string
|
||||||
|
3 index exch 1 add get % string proc char char+1
|
||||||
|
exch 2 copy % strinq proc char+1 char char+1 char
|
||||||
|
% Now show the nth character
|
||||||
|
PATsstr dup 0 4 -1 roll put % string proc chr+1 chr chr+1 (chr)
|
||||||
|
false charpath % string proc char+1 char char+1
|
||||||
|
/clip load PATdraw
|
||||||
|
% Move past the character (charpath modified the current point)
|
||||||
|
currentpoint newpath moveto
|
||||||
|
% Execute the user proc (should consume char and char+1)
|
||||||
|
mark 3 1 roll % string proc char+1 mark char char+1
|
||||||
|
4 index exec % string proc char+1 mark...
|
||||||
|
cleartomark % string proc char+1
|
||||||
|
} for
|
||||||
|
% Now display the last character
|
||||||
|
PATsstr dup 0 4 -1 roll put % string proc (char+1)
|
||||||
|
false charpath % string proc
|
||||||
|
/clip load PATdraw
|
||||||
|
neewath
|
||||||
|
pop pop % -
|
||||||
|
} bind def
|
||||||
|
% PATmp - the makepattern equivalent
|
||||||
|
/PATmp { % patdict patmtx PATmp patinstance
|
||||||
|
exch dup length 7 add % We will add 6 new entries plus 1 FID
|
||||||
|
dict copy % Create a new dictionary
|
||||||
|
begin
|
||||||
|
% Matrix to install when painting the pattern
|
||||||
|
TilingType PATtcalc
|
||||||
|
/PatternGState PATcg def
|
||||||
|
PatternGState /cm 3 -1 roll put
|
||||||
|
% Check for multi pattern sources (Level 1 fast color patterns)
|
||||||
|
currentdict /Multi known not { /Multi 1 def } if
|
||||||
|
% Font dictionary definitions
|
||||||
|
/FontType 3 def
|
||||||
|
% Create a dummy encoding vector
|
||||||
|
/Encoding 256 array def
|
||||||
|
3 string 0 1 255 {
|
||||||
|
Encoding exch dup 3 index cvs cvn put } for pop
|
||||||
|
/FontMatrix matrix def
|
||||||
|
/FontBBox BBox def
|
||||||
|
/BuildChar {
|
||||||
|
mark 3 1 roll % mark dict char
|
||||||
|
exch begin
|
||||||
|
Multi 1 ne {PaintData exch get}{pop} ifelse % mark [paintdata]
|
||||||
|
PaintType 2 eq Multi 1 ne or
|
||||||
|
{ XStep 0 FontBBox aload pop setcachedevice }
|
||||||
|
{ XStep 0 setcharwidth } ifelse
|
||||||
|
currentdict % mark [paintdata] dict
|
||||||
|
/PaintProc load % mark [paintdata] dict paintproc
|
||||||
|
end
|
||||||
|
gsave
|
||||||
|
false PATredef exec true PATredef
|
||||||
|
grestore
|
||||||
|
cleartomark % -
|
||||||
|
} bind def
|
||||||
|
currentdict
|
||||||
|
end % newdict
|
||||||
|
/foo exch % /foo newlict
|
||||||
|
definefont % newfont
|
||||||
|
} bind def
|
||||||
|
% PATpcalc - calculates the starting point and width/height
|
||||||
|
% of the tile fill for the shape
|
||||||
|
/PATpcalc { % - PATpcalc nw nh px py
|
||||||
|
PATDict /CurrentPattern get begin
|
||||||
|
gsave
|
||||||
|
% Set up the coordinate system to Pattern Space
|
||||||
|
% and lock down pattern
|
||||||
|
PatternGState /cm get setmatrix
|
||||||
|
BBox aload pop pop pop translate
|
||||||
|
% Determine the bounding box of the shape
|
||||||
|
pathbbox % llx lly urx ury
|
||||||
|
grestore
|
||||||
|
% Determine (nw, nh) the # of cells to paint width and height
|
||||||
|
PatHeight div ceiling % llx lly urx qh
|
||||||
|
4 1 roll % qh llx lly urx
|
||||||
|
PatWidth div ceiling % qh llx lly qw
|
||||||
|
4 1 roll % qw qh llx lly
|
||||||
|
PatHeight div floor % qw qh llx ph
|
||||||
|
4 1 roll % ph qw qh llx
|
||||||
|
PatWidth div floor % ph qw qh pw
|
||||||
|
4 1 roll % pw ph qw qh
|
||||||
|
2 index sub cvi abs % pw ph qs qh-ph
|
||||||
|
exch 3 index sub cvi abs exch % pw ph nw=qw-pw nh=qh-ph
|
||||||
|
% Determine the starting point of the pattern fill
|
||||||
|
%(px, py)
|
||||||
|
4 2 roll % nw nh pw ph
|
||||||
|
PatHeight mul % nw nh pw py
|
||||||
|
exch % nw nh py pw
|
||||||
|
PatWidth mul exch % nw nh px py
|
||||||
|
end
|
||||||
|
} bind def
|
||||||
|
|
||||||
|
% Save the original routines so that we can use them later on
|
||||||
|
/oldfill /fill load def
|
||||||
|
/oldeofill /eofill load def
|
||||||
|
/oldstroke /stroke load def
|
||||||
|
/oldshow /show load def
|
||||||
|
/oldashow /ashow load def
|
||||||
|
/oldwidthshow /widthshow load def
|
||||||
|
/oldawidthshow /awidthshow load def
|
||||||
|
/oldkshow /kshow load def
|
||||||
|
|
||||||
|
% These defs are necessary so that subsequent procs don't bind in
|
||||||
|
% the originals
|
||||||
|
/fill { oldfill } bind def
|
||||||
|
/eofill { oldeofill } bind def
|
||||||
|
/stroke { oldstroke } bind def
|
||||||
|
/show { oldshow } bind def
|
||||||
|
/ashow { oldashow } bind def
|
||||||
|
/widthshow { oldwidthshow } bind def
|
||||||
|
/awidthshow { oldawidthshow } bind def
|
||||||
|
/kshow { oldkshow } bind def
|
||||||
|
/PATredef {
|
||||||
|
MyAppDict begin
|
||||||
|
{
|
||||||
|
/fill { /clip load PATdraw newpath } bind def
|
||||||
|
/eofill { /eoclip load PATdraw newpath } bind def
|
||||||
|
/stroke { PATstroke } bind def
|
||||||
|
/show { 0 0 null 0 0 6 -1 roll PATawidthshow } bind def
|
||||||
|
/ashow { 0 0 null 6 3 roll PATawidthshow }
|
||||||
|
bind def
|
||||||
|
/widthshow { 0 0 3 -1 roll PATawidthshow }
|
||||||
|
bind def
|
||||||
|
/awidthshow { PATawidthshow } bind def
|
||||||
|
/kshow { PATkshow } bind def
|
||||||
|
} {
|
||||||
|
/fill { oldfill } bind def
|
||||||
|
/eofill { oldeofill } bind def
|
||||||
|
/stroke { oldstroke } bind def
|
||||||
|
/show { oldshow } bind def
|
||||||
|
/ashow { oldashow } bind def
|
||||||
|
/widthshow { oldwidthshow } bind def
|
||||||
|
/awidthshow { oldawidthshow } bind def
|
||||||
|
/kshow { oldkshow } bind def
|
||||||
|
} ifelse
|
||||||
|
end
|
||||||
|
} bind def
|
||||||
|
false PATredef
|
||||||
|
% Conditionally define setcmykcolor if not available
|
||||||
|
/setcmykcolor where { pop } {
|
||||||
|
/setcmykcolor {
|
||||||
|
1 sub 4 1 roll
|
||||||
|
3 {
|
||||||
|
3 index add neg dup 0 lt { pop 0 } if 3 1 roll
|
||||||
|
} repeat
|
||||||
|
setrgbcolor - pop
|
||||||
|
} bind def
|
||||||
|
} ifelse
|
||||||
|
/PATsc { % colorarray
|
||||||
|
aload length % c1 ... cn length
|
||||||
|
dup 1 eq { pop setgray } { 3 eq { setrgbcolor } { setcmykcolor
|
||||||
|
} ifelse } ifelse
|
||||||
|
} bind def
|
||||||
|
/PATsg { % dict
|
||||||
|
begin
|
||||||
|
lw setlinewidth
|
||||||
|
lc setlinecap
|
||||||
|
lj setlinejoin
|
||||||
|
ml setmiterlimit
|
||||||
|
ds aload pop setdash
|
||||||
|
cc aload pop setrgbcolor
|
||||||
|
cm setmatrix
|
||||||
|
end
|
||||||
|
} bind def
|
||||||
|
|
||||||
|
/PATDict 3 dict def
|
||||||
|
/PATsp {
|
||||||
|
true PATredef
|
||||||
|
PATDict begin
|
||||||
|
/CurrentPattern exch def
|
||||||
|
% If it's an uncolored pattern, save the color
|
||||||
|
CurrentPattern /PaintType get 2 eq {
|
||||||
|
/PColor exch def
|
||||||
|
} if
|
||||||
|
/CColor [ currentrgbcolor ] def
|
||||||
|
end
|
||||||
|
} bind def
|
||||||
|
% PATstroke - stroke with the current pattern
|
||||||
|
/PATstroke {
|
||||||
|
countdictstack
|
||||||
|
save
|
||||||
|
mark
|
||||||
|
{
|
||||||
|
currentpoint strokepath moveto
|
||||||
|
PATpcalc % proc nw nh px py
|
||||||
|
clip newpath PATfill
|
||||||
|
} stopped {
|
||||||
|
(*** PATstroke Warning: Path is too complex, stroking
|
||||||
|
with gray) =
|
||||||
|
cleartomark
|
||||||
|
restore
|
||||||
|
countdictstack exch sub dup 0 gt
|
||||||
|
{ { end } repeat } { pop } ifelse
|
||||||
|
gsave 0.5 setgray oldstroke grestore
|
||||||
|
} { pop restore pop } ifelse
|
||||||
|
newpath
|
||||||
|
} bind def
|
||||||
|
/PATtcalc { % modmtx tilingtype PATtcalc tilematrix
|
||||||
|
% Note: tiling types 2 and 3 are not supported
|
||||||
|
gsave
|
||||||
|
exch concat % tilingtype
|
||||||
|
matrix currentmatrix exch % cmtx tilingtype
|
||||||
|
% Tiling type 1 and 3: constant spacing
|
||||||
|
2 ne {
|
||||||
|
% Distort the pattern so that it occupies
|
||||||
|
% an integral number of device pixels
|
||||||
|
dup 4 get exch dup 5 get exch % tx ty cmtx
|
||||||
|
XStep 0 dtransform
|
||||||
|
round exch round exch % tx ty cmtx dx.x dx.y
|
||||||
|
XStep div exch XStep div exch % tx ty cmtx a b
|
||||||
|
0 YStep dtransform
|
||||||
|
round exch round exch % tx ty cmtx a b dy.x dy.y
|
||||||
|
YStep div exch YStep div exch % tx ty cmtx a b c d
|
||||||
|
7 -3 roll astore % { a b c d tx ty }
|
||||||
|
} if
|
||||||
|
grestore
|
||||||
|
} bind def
|
||||||
|
/PATusp {
|
||||||
|
false PATredef
|
||||||
|
PATDict begin
|
||||||
|
CColor PATsc
|
||||||
|
end
|
||||||
|
} bind def
|
||||||
|
|
||||||
|
% left45
|
||||||
|
11 dict begin
|
||||||
|
/PaintType 1 def
|
||||||
|
/PatternType 1 def
|
||||||
|
/TilingType 1 def
|
||||||
|
/BBox [0 0 1 1] def
|
||||||
|
/XStep 1 def
|
||||||
|
/YStep 1 def
|
||||||
|
/PatWidth 1 def
|
||||||
|
/PatHeight 1 def
|
||||||
|
/Multi 2 def
|
||||||
|
/PaintData [
|
||||||
|
{ clippath } bind
|
||||||
|
{ 20 20 true [ 20 0 0 -20 0 20 ]
|
||||||
|
{<8020004010002008001004000802000401000200
|
||||||
|
8001004000802000401080200040100020080010
|
||||||
|
0400080200040100020080010040008020004010>}
|
||||||
|
imagemask } bind
|
||||||
|
] def
|
||||||
|
/PaintProc {
|
||||||
|
pop
|
||||||
|
exec fill
|
||||||
|
} def
|
||||||
|
currentdict
|
||||||
|
end
|
||||||
|
/P4 exch def
|
||||||
|
|
||||||
|
% right45
|
||||||
|
11 dict begin
|
||||||
|
/PaintType 1 def
|
||||||
|
/PatternType 1 def
|
||||||
|
/TilingType 1 def
|
||||||
|
/BBox [0 0 1 1] def
|
||||||
|
/XStep 1 def
|
||||||
|
/YStep 1 def
|
||||||
|
/PatWidth 1 def
|
||||||
|
/PatHeight 1 def
|
||||||
|
/Multi 2 def
|
||||||
|
/PaintData [
|
||||||
|
{ clippath } bind
|
||||||
|
{ 20 20 true [ 20 0 0 -20 0 20 ]
|
||||||
|
{<0040100080200100400200800401000802001004
|
||||||
|
0020080040100080200000401000802001004002
|
||||||
|
0080040100080200100400200800401000802000>}
|
||||||
|
imagemask } bind
|
||||||
|
] def
|
||||||
|
/PaintProc {
|
||||||
|
pop
|
||||||
|
exec fill
|
||||||
|
} def
|
||||||
|
currentdict
|
||||||
|
end
|
||||||
|
/P5 exch def
|
||||||
|
|
||||||
|
/cp {closepath} bind def
|
||||||
|
/ef {eofill} bind def
|
||||||
|
/gr {grestore} bind def
|
||||||
|
/gs {gsave} bind def
|
||||||
|
/sa {save} bind def
|
||||||
|
/rs {restore} bind def
|
||||||
|
/l {lineto} bind def
|
||||||
|
/m {moveto} bind def
|
||||||
|
/rm {rmoveto} bind def
|
||||||
|
/n {newpath} bind def
|
||||||
|
/s {stroke} bind def
|
||||||
|
/sh {show} bind def
|
||||||
|
/slc {setlinecap} bind def
|
||||||
|
/slj {setlinejoin} bind def
|
||||||
|
/slw {setlinewidth} bind def
|
||||||
|
/srgb {setrgbcolor} bind def
|
||||||
|
/rot {rotate} bind def
|
||||||
|
/sc {scale} bind def
|
||||||
|
/sd {setdash} bind def
|
||||||
|
/ff {findfont} bind def
|
||||||
|
/sf {setfont} bind def
|
||||||
|
/scf {scalefont} bind def
|
||||||
|
/sw {stringwidth} bind def
|
||||||
|
/tr {translate} bind def
|
||||||
|
/tnt {dup dup currentrgbcolor
|
||||||
|
4 -2 roll dup 1 exch sub 3 -1 roll mul add
|
||||||
|
4 -2 roll dup 1 exch sub 3 -1 roll mul add
|
||||||
|
4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb}
|
||||||
|
bind def
|
||||||
|
/shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul
|
||||||
|
4 -2 roll mul srgb} bind def
|
||||||
|
/$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def
|
||||||
|
/$F2psEnd {$F2psEnteredState restore end} def
|
||||||
|
|
||||||
|
$F2psBegin
|
||||||
|
10 setmiterlimit
|
||||||
|
0 slj 0 slc
|
||||||
|
0.06299 0.06299 sc
|
||||||
|
%
|
||||||
|
% Fig objects follow
|
||||||
|
%
|
||||||
|
%
|
||||||
|
% here starts figure with depth 50
|
||||||
|
% Polyline
|
||||||
|
0 slj
|
||||||
|
0 slc
|
||||||
|
7.500 slw
|
||||||
|
n 5400 5850 m 4050 5040 l 4950 4500 l 4050 3960 l 5400 3150 l
|
||||||
|
cp gs /PC [[1.00 1.00 1.00] [0.00 0.00 1.00]] def
|
||||||
|
15.00 15.00 sc P4 [16 0 0 -16 270.00 210.00] PATmp PATsp ef gr PATusp gs col1 s gr
|
||||||
|
% Polyline
|
||||||
|
n 4050 5040 m 4950 4500 l 4050 3960 l
|
||||||
|
cp gs /PC [[1.00 1.00 1.00] [1.00 0.00 0.00]] def
|
||||||
|
15.00 15.00 sc P5 [16 0 0 -16 270.00 264.00] PATmp PATsp ef gr PATusp gs col4 s gr
|
||||||
|
% Polyline
|
||||||
|
n 4050 5040 m 3150 4500 l 4050 3960 l
|
||||||
|
cp gs /PC [[1.00 1.00 1.00] [0.00 0.00 1.00]] def
|
||||||
|
15.00 15.00 sc P4 [16 0 0 -16 210.00 264.00] PATmp PATsp ef gr PATusp gs col1 s gr
|
||||||
|
% Polyline
|
||||||
|
n 2700 5850 m 4050 5040 l 3150 4500 l 4050 3960 l 2700 3150 l
|
||||||
|
cp gs /PC [[1.00 1.00 1.00] [1.00 0.00 0.00]] def
|
||||||
|
15.00 15.00 sc P5 [16 0 0 -16 180.00 210.00] PATmp PATsp ef gr PATusp gs col4 s gr
|
||||||
|
% Polyline
|
||||||
|
n 2025 2475 m 6075 2475 l 6075 6525 l 2025 6525 l
|
||||||
|
cp gs col0 s gr
|
||||||
|
% here ends figure;
|
||||||
|
%
|
||||||
|
% here starts figure with depth 40
|
||||||
|
% Polyline
|
||||||
|
0 slj
|
||||||
|
0 slc
|
||||||
|
30.000 slw
|
||||||
|
n 2700 5850 m 4950 4500 l 2700 3150 l
|
||||||
|
cp gs col0 s gr
|
||||||
|
% Polyline
|
||||||
|
n 5400 5850 m 3150 4500 l 5400 3150 l
|
||||||
|
cp gs col0 s gr
|
||||||
|
% Polyline
|
||||||
|
n 4050 5040 m
|
||||||
|
4050 3960 l gs col0 s gr
|
||||||
|
% here ends figure;
|
||||||
|
$F2psEnd
|
||||||
|
rs
|
||||||
|
end
|
||||||
|
showpage
|
||||||
|
%%Trailer
|
||||||
|
%EOF
|
||||||
|
|
@ -0,0 +1,25 @@
|
||||||
|
#FIG 3.2 Produced by xfig version 3.2.5-alpha5
|
||||||
|
Landscape
|
||||||
|
Center
|
||||||
|
Metric
|
||||||
|
A4
|
||||||
|
100.00
|
||||||
|
Single
|
||||||
|
-2
|
||||||
|
1200 2
|
||||||
|
2 3 0 1 1 7 50 -1 44 0.000 0 0 -1 0 0 6
|
||||||
|
5400 5850 4050 5040 4950 4500 4050 3960 5400 3150 5400 5850
|
||||||
|
2 3 0 1 4 7 50 -1 45 0.000 0 0 -1 0 0 4
|
||||||
|
4050 5040 4950 4500 4050 3960 4050 5040
|
||||||
|
2 3 0 1 1 7 50 -1 44 0.000 0 0 -1 0 0 4
|
||||||
|
4050 5040 3150 4500 4050 3960 4050 5040
|
||||||
|
2 3 0 1 4 7 50 -1 45 0.000 0 0 -1 0 0 6
|
||||||
|
2700 5850 4050 5040 3150 4500 4050 3960 2700 3150 2700 5850
|
||||||
|
2 3 0 3 0 7 40 -1 -1 0.000 0 0 -1 0 0 4
|
||||||
|
2700 5850 4950 4500 2700 3150 2700 5850
|
||||||
|
2 3 0 3 0 7 40 -1 -1 0.000 0 0 -1 0 0 4
|
||||||
|
5400 5850 3150 4500 5400 3150 5400 5850
|
||||||
|
2 1 0 3 0 7 40 -1 -1 0.000 0 0 -1 0 0 2
|
||||||
|
4050 5040 4050 3960
|
||||||
|
2 2 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
|
||||||
|
2025 2475 6075 2475 6075 6525 2025 6525 2025 2475
|
||||||
|
|
@ -0,0 +1,118 @@
|
||||||
|
%!PS-Adobe-2.0 EPSF-2.0
|
||||||
|
%%Title: ex_triangles.fig
|
||||||
|
%%Creator: fig2dev Version 3.2 Patchlevel 5-alpha5
|
||||||
|
%%CreationDate: Tue Aug 1 15:20:11 2006
|
||||||
|
%%For: wein@cgal (Ron Wein,,09-576985,)
|
||||||
|
%%BoundingBox: 0 0 291 257
|
||||||
|
%Magnification: 1.0000
|
||||||
|
%%EndComments
|
||||||
|
/$F2psDict 200 dict def
|
||||||
|
$F2psDict begin
|
||||||
|
$F2psDict /mtrx matrix put
|
||||||
|
/col-1 {0 setgray} bind def
|
||||||
|
/col0 {0.000 0.000 0.000 srgb} bind def
|
||||||
|
/col1 {0.000 0.000 1.000 srgb} bind def
|
||||||
|
/col2 {0.000 1.000 0.000 srgb} bind def
|
||||||
|
/col3 {0.000 1.000 1.000 srgb} bind def
|
||||||
|
/col4 {1.000 0.000 0.000 srgb} bind def
|
||||||
|
/col5 {1.000 0.000 1.000 srgb} bind def
|
||||||
|
/col6 {1.000 1.000 0.000 srgb} bind def
|
||||||
|
/col7 {1.000 1.000 1.000 srgb} bind def
|
||||||
|
/col8 {0.000 0.000 0.560 srgb} bind def
|
||||||
|
/col9 {0.000 0.000 0.690 srgb} bind def
|
||||||
|
/col10 {0.000 0.000 0.820 srgb} bind def
|
||||||
|
/col11 {0.530 0.810 1.000 srgb} bind def
|
||||||
|
/col12 {0.000 0.560 0.000 srgb} bind def
|
||||||
|
/col13 {0.000 0.690 0.000 srgb} bind def
|
||||||
|
/col14 {0.000 0.820 0.000 srgb} bind def
|
||||||
|
/col15 {0.000 0.560 0.560 srgb} bind def
|
||||||
|
/col16 {0.000 0.690 0.690 srgb} bind def
|
||||||
|
/col17 {0.000 0.820 0.820 srgb} bind def
|
||||||
|
/col18 {0.560 0.000 0.000 srgb} bind def
|
||||||
|
/col19 {0.690 0.000 0.000 srgb} bind def
|
||||||
|
/col20 {0.820 0.000 0.000 srgb} bind def
|
||||||
|
/col21 {0.560 0.000 0.560 srgb} bind def
|
||||||
|
/col22 {0.690 0.000 0.690 srgb} bind def
|
||||||
|
/col23 {0.820 0.000 0.820 srgb} bind def
|
||||||
|
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|
||||||
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|
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|
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|
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|
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|
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|
||||||
|
|
||||||
|
end
|
||||||
|
save
|
||||||
|
newpath 0 257 moveto 0 0 lineto 291 0 lineto 291 257 lineto closepath clip newpath
|
||||||
|
-112.6 411.8 translate
|
||||||
|
1 -1 scale
|
||||||
|
|
||||||
|
/cp {closepath} bind def
|
||||||
|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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/tr {translate} bind def
|
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/tnt {dup dup currentrgbcolor
|
||||||
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4 -2 roll dup 1 exch sub 3 -1 roll mul add
|
||||||
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4 -2 roll dup 1 exch sub 3 -1 roll mul add
|
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4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb}
|
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bind def
|
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/shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul
|
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|
4 -2 roll mul srgb} bind def
|
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/$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def
|
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/$F2psEnd {$F2psEnteredState restore end} def
|
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|
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|
$F2psBegin
|
||||||
|
10 setmiterlimit
|
||||||
|
0 slj 0 slc
|
||||||
|
0.06299 0.06299 sc
|
||||||
|
%
|
||||||
|
% Fig objects follow
|
||||||
|
%
|
||||||
|
%
|
||||||
|
% here starts figure with depth 40
|
||||||
|
% Polyline
|
||||||
|
0 slj
|
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|
0 slc
|
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|
7.500 slw
|
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|
n 4083 3712 m 4083 4832 l 3503 3412 l
|
||||||
|
cp gs col1 1.00 shd ef gr gs col0 s gr
|
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|
% Polyline
|
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|
n 4425 5667 m 4085 4827 l 4455 3917 l 6055 4767 l
|
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cp gs col1 1.00 shd ef gr gs col0 s gr
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% Polyline
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|
n 4079 3712 m 4079 4832 l 4659 3412 l
|
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cp gs col4 1.00 shd ef gr gs col0 s gr
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% Polyline
|
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|
n 3737 5667 m 4077 4827 l 3707 3917 l 2107 4767 l
|
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cp gs col4 1.00 shd ef gr gs col0 s gr
|
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% Polyline
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|
n 1800 6525 m 6390 6525 l 6390 2475 l 1800 2475 l
|
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|
cp gs col0 s gr
|
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|
% here ends figure;
|
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|
$F2psEnd
|
||||||
|
rs
|
||||||
|
showpage
|
||||||
|
%%Trailer
|
||||||
|
%EOF
|
||||||
|
|
@ -0,0 +1,21 @@
|
||||||
|
#FIG 3.2 Produced by xfig version 3.2.5-alpha5
|
||||||
|
Landscape
|
||||||
|
Center
|
||||||
|
Metric
|
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|
A4
|
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|
100.00
|
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|
Single
|
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|
-2
|
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|
1200 2
|
||||||
|
6 2070 3375 6075 5670
|
||||||
|
2 3 0 1 0 1 40 -1 20 0.000 0 0 -1 0 0 4
|
||||||
|
4083 3712 4083 4832 3503 3412 4083 3712
|
||||||
|
2 3 0 1 0 1 40 -1 20 0.000 0 0 -1 0 0 5
|
||||||
|
4425 5667 4085 4827 4455 3917 6055 4767 4425 5667
|
||||||
|
2 3 0 1 0 4 40 -1 20 0.000 0 0 -1 0 0 4
|
||||||
|
4079 3712 4079 4832 4659 3412 4079 3712
|
||||||
|
2 3 0 1 0 4 40 -1 20 0.000 0 0 -1 0 0 5
|
||||||
|
3737 5667 4077 4827 3707 3917 2107 4767 3737 5667
|
||||||
|
-6
|
||||||
|
2 2 0 1 0 7 40 -1 -1 0.000 0 0 -1 0 0 5
|
||||||
|
1800 6525 6390 6525 6390 2475 1800 2475 1800 6525
|
||||||
|
|
@ -0,0 +1,101 @@
|
||||||
|
//! \file examples/Envelope_3/ex_envelope_spheres.cpp
|
||||||
|
// Constructing the lower envelope of a set of spheres read from a file.
|
||||||
|
#include <CGAL/basic.h>
|
||||||
|
|
||||||
|
#ifndef CGAL_USE_CORE
|
||||||
|
#include <iostream>
|
||||||
|
int main ()
|
||||||
|
{
|
||||||
|
std::cout << "Sorry, this example needs CORE ..." << std::endl;
|
||||||
|
return (0);
|
||||||
|
}
|
||||||
|
#else
|
||||||
|
|
||||||
|
#include <CGAL/Cartesian.h>
|
||||||
|
#include <CGAL/CORE_algebraic_number_traits.h>
|
||||||
|
#include <CGAL/Arr_conic_traits_2.h>
|
||||||
|
#include <CGAL/Env_sphere_traits_3.h>
|
||||||
|
#include <CGAL/envelope_3.h>
|
||||||
|
#include <CGAL/Timer.h>
|
||||||
|
#include <iostream>
|
||||||
|
#include <list>
|
||||||
|
|
||||||
|
typedef CGAL::CORE_algebraic_number_traits Nt_traits;
|
||||||
|
typedef Nt_traits::Rational Rational;
|
||||||
|
typedef Nt_traits::Algebraic Algebraic;
|
||||||
|
typedef CGAL::Cartesian<Rational> Rat_kernel;
|
||||||
|
typedef Rat_kernel::Point_3 Rat_point_3;
|
||||||
|
typedef CGAL::Cartesian<Algebraic> Alg_kernel;
|
||||||
|
|
||||||
|
typedef CGAL::Arr_conic_traits_2<Rat_kernel,
|
||||||
|
Alg_kernel,
|
||||||
|
Nt_traits> Conic_traits_2;
|
||||||
|
|
||||||
|
typedef CGAL::Env_sphere_traits_3<Conic_traits_2> Traits_3;
|
||||||
|
typedef Traits_3::Surface_3 Sphere_3;
|
||||||
|
typedef CGAL::Envelope_diagram_2<Traits_3> Envelope_diagram_2;
|
||||||
|
|
||||||
|
int main (int argc, char **argv)
|
||||||
|
{
|
||||||
|
// Get the name of the input file from the command line, or use the default
|
||||||
|
// fan_grids.dat file if no command-line parameters are given.
|
||||||
|
char *filename = "spheres.dat";
|
||||||
|
|
||||||
|
if (argc > 1)
|
||||||
|
filename = argv[1];
|
||||||
|
|
||||||
|
// Open the input file.
|
||||||
|
std::ifstream in_file (filename);
|
||||||
|
|
||||||
|
if (! in_file.is_open())
|
||||||
|
{
|
||||||
|
std::cerr << "Failed to open " << filename << " ..." << std::endl;
|
||||||
|
return (1);
|
||||||
|
}
|
||||||
|
|
||||||
|
// Read the spheres from the file.
|
||||||
|
// The input file format should be (all coordinate values are integers):
|
||||||
|
// <n> // number of spheres.
|
||||||
|
// <x_1> <y_1> <x_1> <R_1> // center and squared radious of sphere #1.
|
||||||
|
// <x_2> <y_2> <x_2> <R_2> // center and squared radious of sphere #2.
|
||||||
|
// : : : :
|
||||||
|
// <x_n> <y_n> <x_n> <R_n> // center and squared radious of sphere #n.
|
||||||
|
int n;
|
||||||
|
std::list<Sphere_3> spheres;
|
||||||
|
int x, y, z, sqr_r;
|
||||||
|
int i;
|
||||||
|
|
||||||
|
in_file >> n;
|
||||||
|
for (i = 0; i < n; i++)
|
||||||
|
{
|
||||||
|
in_file >> x >> y >> z >> sqr_r;
|
||||||
|
|
||||||
|
spheres.push_back (Sphere_3 (Rat_point_3 (x, y, z),
|
||||||
|
Rational (sqr_r)));
|
||||||
|
}
|
||||||
|
in_file.close();
|
||||||
|
|
||||||
|
// Compute the lower envelope.
|
||||||
|
Envelope_diagram_2 min_diag;
|
||||||
|
CGAL::Timer timer;
|
||||||
|
|
||||||
|
std::cout << "Constructing the lower envelope of "
|
||||||
|
<< n << " spheres." << std::endl;
|
||||||
|
|
||||||
|
timer.start();
|
||||||
|
CGAL::lower_envelope_3 (spheres.begin(), spheres.end(),
|
||||||
|
min_diag);
|
||||||
|
timer.stop();
|
||||||
|
|
||||||
|
// Print the dimensions of the minimization diagram.
|
||||||
|
std::cout << "V = " << min_diag.number_of_vertices()
|
||||||
|
<< ", E = " << min_diag.number_of_edges()
|
||||||
|
<< ", F = " << min_diag.number_of_faces() << std::endl;
|
||||||
|
|
||||||
|
std::cout << "Construction took " << timer.time()
|
||||||
|
<< " seconds." << std::endl;
|
||||||
|
|
||||||
|
return (0);
|
||||||
|
}
|
||||||
|
|
||||||
|
#endif
|
||||||
|
|
@ -0,0 +1,88 @@
|
||||||
|
//! \file examples/Envelope_3/ex_envelope_triangles.cpp
|
||||||
|
// Constructing the lower and the upper envelope of a set of triangles.
|
||||||
|
|
||||||
|
#include <CGAL/Gmpq.h>
|
||||||
|
#include <CGAL/Cartesian.h>
|
||||||
|
#include <CGAL/Env_triangle_traits_3.h>
|
||||||
|
#include <CGAL/envelope_3.h>
|
||||||
|
#include <iostream>
|
||||||
|
#include <list>
|
||||||
|
|
||||||
|
typedef CGAL::Gmpq Number_type;
|
||||||
|
typedef CGAL::Cartesian<Number_type> Kernel;
|
||||||
|
typedef CGAL::Env_triangle_traits_3<Kernel> Traits_3;
|
||||||
|
typedef Kernel::Point_3 Point_3;
|
||||||
|
typedef Traits_3::Surface_3 Triangle_3;
|
||||||
|
typedef CGAL::Envelope_diagram_2<Traits_3> Envelope_diagram_2;
|
||||||
|
|
||||||
|
/* Auxiliary function - print the faces of the given envelope diagram. */
|
||||||
|
void print_diagram_faces (const Envelope_diagram_2& diag)
|
||||||
|
{
|
||||||
|
// Go over all arrangement faces.
|
||||||
|
Envelope_diagram_2::Face_const_iterator fit;
|
||||||
|
Envelope_diagram_2::Ccb_halfedge_const_circulator ccb;
|
||||||
|
Envelope_diagram_2::Surface_const_iterator sit;
|
||||||
|
|
||||||
|
for (fit = diag.faces_begin(); fit != diag.faces_end(); ++fit)
|
||||||
|
{
|
||||||
|
// Print the face boundary.
|
||||||
|
if (fit->is_unbounded())
|
||||||
|
{
|
||||||
|
std::cout << "[Unbounded face]";
|
||||||
|
}
|
||||||
|
else
|
||||||
|
{
|
||||||
|
// Print the vertices along the outer boundary of the face.
|
||||||
|
ccb = fit->outer_ccb();
|
||||||
|
std::cout << '(' << ccb->source()->point() << ')';
|
||||||
|
do
|
||||||
|
{
|
||||||
|
std::cout << " (" << ccb->target()->point() << ')';
|
||||||
|
++ccb;
|
||||||
|
} while (ccb != fit->outer_ccb());
|
||||||
|
}
|
||||||
|
|
||||||
|
// Print the triangles that induce the envelope on this face.
|
||||||
|
std::cout << " --> " << fit->number_of_surfaces()
|
||||||
|
<< " triangles:" << std::endl;
|
||||||
|
|
||||||
|
for (sit = fit->surfaces_begin(); sit != fit->surfaces_end(); ++sit)
|
||||||
|
std::cout << " " << *sit << std::endl;
|
||||||
|
}
|
||||||
|
|
||||||
|
return;
|
||||||
|
}
|
||||||
|
|
||||||
|
/* The main program: */
|
||||||
|
int main ()
|
||||||
|
{
|
||||||
|
// Construct the input triangles.
|
||||||
|
std::list<Triangle_3> triangles;
|
||||||
|
|
||||||
|
triangles.push_back (Triangle_3 (Point_3 (0, 0, 0),
|
||||||
|
Point_3 (0, 6, 0),
|
||||||
|
Point_3 (5, 3, 4)));
|
||||||
|
triangles.push_back (Triangle_3 (Point_3 (6, 0, 0),
|
||||||
|
Point_3 (6, 6, 0),
|
||||||
|
Point_3 (1, 3, 4)));
|
||||||
|
|
||||||
|
// Compute and print the minimization diagram.
|
||||||
|
Envelope_diagram_2 min_diag;
|
||||||
|
|
||||||
|
CGAL::lower_envelope_3 (triangles.begin(), triangles.end(),
|
||||||
|
min_diag);
|
||||||
|
|
||||||
|
std::cout << std::endl << "The minimization diagram:" << std::endl;
|
||||||
|
print_diagram_faces (min_diag);
|
||||||
|
|
||||||
|
// Compute and print the maximization diagram.
|
||||||
|
Envelope_diagram_2 max_diag;
|
||||||
|
|
||||||
|
CGAL::upper_envelope_3 (triangles.begin(), triangles.end(),
|
||||||
|
max_diag);
|
||||||
|
|
||||||
|
std::cout << std::endl << "The maximization diagram:" << std::endl;
|
||||||
|
print_diagram_faces (max_diag);
|
||||||
|
|
||||||
|
return (0);
|
||||||
|
}
|
||||||
|
|
@ -1,77 +0,0 @@
|
||||||
#include <CGAL/Cartesian.h>
|
|
||||||
#include <CGAL/CORE_algebraic_number_traits.h>
|
|
||||||
#include <CGAL/Arr_conic_traits_2.h>
|
|
||||||
|
|
||||||
#include <CGAL/Timer.h>
|
|
||||||
|
|
||||||
#include <CGAL/Envelope_divide_and_conquer_3.h>
|
|
||||||
#include <CGAL/Envelope_spheres_traits_3.h>
|
|
||||||
#include <CGAL/Envelope_pm_dcel.h>
|
|
||||||
#include <CGAL/Envelope_caching_traits_3.h>
|
|
||||||
|
|
||||||
#include <CGAL/Arrangement_2.h>
|
|
||||||
#include <CGAL/Overlay_2.h>
|
|
||||||
|
|
||||||
#include <iostream>
|
|
||||||
#include <vector>
|
|
||||||
|
|
||||||
typedef CGAL::CORE_algebraic_number_traits Nt_traits;
|
|
||||||
typedef Nt_traits::Rational Rational;
|
|
||||||
typedef Nt_traits::Algebraic Algebraic;
|
|
||||||
typedef CGAL::Cartesian<Rational> Rat_kernel;
|
|
||||||
typedef Rat_kernel::Point_3 Rat_point_3;
|
|
||||||
typedef CGAL::Cartesian<Algebraic> Alg_kernel;
|
|
||||||
|
|
||||||
typedef CGAL::Arr_conic_traits_2<Rat_kernel,
|
|
||||||
Alg_kernel,
|
|
||||||
Nt_traits> Traits_2;
|
|
||||||
|
|
||||||
typedef CGAL::Envelope_spheres_traits_3<Traits_2> Traits;
|
|
||||||
typedef CGAL::Envelope_caching_traits_3<Traits> Traits_3;
|
|
||||||
|
|
||||||
typedef Traits_3::Xy_monotone_surface_3 Xy_monotone_surface_3;
|
|
||||||
typedef Traits_3::Curve_2 Arr_curve_2;
|
|
||||||
typedef Traits_3::Point_2 Arr_point_2;
|
|
||||||
|
|
||||||
typedef CGAL::Envelope_pm_dcel<Traits_3, Xy_monotone_surface_3> Dcel;
|
|
||||||
|
|
||||||
typedef CGAL::Arrangement_2<Traits_3, Dcel> Arrangement_2;
|
|
||||||
|
|
||||||
typedef CGAL::Envelope_divide_and_conquer_3<Traits_3, Arrangement_2>
|
|
||||||
Envelope_alg;
|
|
||||||
|
|
||||||
using std::cout;
|
|
||||||
using std::endl;
|
|
||||||
|
|
||||||
int main(int argc, char **argv)
|
|
||||||
{
|
|
||||||
Traits_3 traits;
|
|
||||||
Envelope_alg envelope_algorithm(&traits);
|
|
||||||
std::vector<Xy_monotone_surface_3> surfaces;
|
|
||||||
|
|
||||||
int spheres_num;
|
|
||||||
std::cin >> spheres_num;
|
|
||||||
Rat_point_3 a;
|
|
||||||
Rational sr;
|
|
||||||
for(int i=0; i<spheres_num; ++i)
|
|
||||||
{
|
|
||||||
std::cin >> a >> sr;
|
|
||||||
Xy_monotone_surface_3 p_surface(a, sr);
|
|
||||||
surfaces.push_back(p_surface);
|
|
||||||
}
|
|
||||||
cout << "deal with " << surfaces.size() << " spheres" << endl;
|
|
||||||
|
|
||||||
CGAL::Timer timer;
|
|
||||||
Arrangement_2 result(&traits);
|
|
||||||
timer.start();
|
|
||||||
envelope_algorithm.construct_lu_envelope(surfaces.begin(),
|
|
||||||
surfaces.end(), result);
|
|
||||||
timer.stop();
|
|
||||||
cout << "construct envelope took " << timer.time() << " seconds" << endl;
|
|
||||||
cout << "after lower envelope construction result has " << endl <<
|
|
||||||
result.number_of_vertices() << " vertices" << endl <<
|
|
||||||
result.number_of_edges() << " edges" << endl <<
|
|
||||||
result.number_of_faces() << " faces" << endl;
|
|
||||||
|
|
||||||
return 0;
|
|
||||||
}
|
|
||||||
|
|
@ -1,53 +0,0 @@
|
||||||
#include <CGAL/Cartesian.h>
|
|
||||||
#include <CGAL/Gmpq.h>
|
|
||||||
#include <CGAL/Timer.h>
|
|
||||||
|
|
||||||
#include <CGAL/envelope_3.h>
|
|
||||||
#include <CGAL/Envelope_triangles_traits_3.h>
|
|
||||||
|
|
||||||
|
|
||||||
#include <iostream>
|
|
||||||
#include <vector>
|
|
||||||
|
|
||||||
typedef CGAL::Gmpq NT;
|
|
||||||
typedef CGAL::Cartesian<NT> Kernel;
|
|
||||||
typedef Kernel::Point_3 Point_3;
|
|
||||||
|
|
||||||
typedef CGAL::Envelope_triangles_traits_3<Kernel> Traits_3;
|
|
||||||
typedef Traits_3::Xy_monotone_surface_3 Xy_monotone_surface_3;
|
|
||||||
typedef CGAL::Envelope_diagram_2<Traits_3> Envelope_diagram_2;
|
|
||||||
|
|
||||||
using std::cout;
|
|
||||||
using std::endl;
|
|
||||||
|
|
||||||
int main(int argc, char **argv)
|
|
||||||
{
|
|
||||||
std::vector<Xy_monotone_surface_3> triangles;
|
|
||||||
|
|
||||||
int triangles_num;
|
|
||||||
std::cin >> triangles_num;
|
|
||||||
std::cout << "number of triangles to read: " << triangles_num << std::endl;
|
|
||||||
Point_3 a,b,c;
|
|
||||||
for(int i=0; i<triangles_num; ++i)
|
|
||||||
{
|
|
||||||
std::cin >> a >> b >> c;
|
|
||||||
Xy_monotone_surface_3 p_triangle(a,b,c);
|
|
||||||
triangles.push_back(p_triangle);
|
|
||||||
}
|
|
||||||
cout << "deal with " << triangles.size() << " triangles" << endl;
|
|
||||||
|
|
||||||
CGAL::Timer timer;
|
|
||||||
Envelope_diagram_2 result;
|
|
||||||
timer.start();
|
|
||||||
CGAL::lower_envelope_3(triangles.begin(), triangles.end(), result);
|
|
||||||
timer.stop();
|
|
||||||
cout << "construct envelope took " << timer.time() << " seconds" << endl;
|
|
||||||
|
|
||||||
cout << "after lower envelope construction result has " << endl <<
|
|
||||||
result.number_of_vertices() << " vertices" << endl <<
|
|
||||||
result.number_of_halfedges() << " halfedges (" <<
|
|
||||||
result.number_of_edges() << " edges)" << endl <<
|
|
||||||
result.number_of_faces() << " faces" << endl;
|
|
||||||
|
|
||||||
return 0;
|
|
||||||
}
|
|
||||||
|
|
@ -1,743 +0,0 @@
|
||||||
|
|
||||||
#include <iostream>
|
|
||||||
#include <fstream>
|
|
||||||
#include <string>
|
|
||||||
#include <stdlib.h>
|
|
||||||
#include <stdio.h>
|
|
||||||
#include <limits>
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
#include <CGAL/Simple_cartesian.h>
|
|
||||||
#include <CGAL/Quotient.h>
|
|
||||||
#include <CGAL/MP_Float.h>
|
|
||||||
#include <CGAL/Polyhedron_3.h>
|
|
||||||
#include <CGAL/IO/Polyhedron_iostream.h>
|
|
||||||
|
|
||||||
#include <queue>
|
|
||||||
#include <list>
|
|
||||||
#include <vector>
|
|
||||||
#include <CGAL/Unique_hash_map.h>
|
|
||||||
#include <CGAL/Arr_segment_traits_2.h>
|
|
||||||
#include <CGAL/Sweep_line_2_algorithms.h>
|
|
||||||
#include <CGAL/Timer.h>
|
|
||||||
|
|
||||||
#include <CGAL/Arrangement_2.h>
|
|
||||||
#include <CGAL/Arr_segment_traits_2.h>
|
|
||||||
#include <CGAL/Arr_accessor.h>
|
|
||||||
#include <CGAL/IO/Arr_iostream.h>
|
|
||||||
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
|
|
||||||
|
|
||||||
|
|
||||||
////typedef double NT;
|
|
||||||
typedef CGAL::Quotient<CGAL::MP_Float> NT;
|
|
||||||
typedef CGAL::Simple_cartesian<NT> Kernel;
|
|
||||||
//typedef CGAL::Exact_predicates_inexact_constructions_kernel Kernel;
|
|
||||||
typedef Kernel::RT RT;
|
|
||||||
typedef Kernel::Point_3 Point_3;
|
|
||||||
typedef Kernel::Point_2 Point_2;
|
|
||||||
typedef Kernel::Plane_3 Plane_3;
|
|
||||||
typedef Kernel::Line_2 Line_2;
|
|
||||||
typedef Kernel::Segment_2 Segment_2;
|
|
||||||
typedef Kernel::Iso_rectangle_2 Iso_rectangle_2;
|
|
||||||
|
|
||||||
typedef CGAL::Polyhedron_3<Kernel> Polyhedron;
|
|
||||||
typedef Polyhedron::Halfedge_const_handle Halfedge_const_handle;
|
|
||||||
typedef Polyhedron::Facet_const_iterator Facet_const_iterator;
|
|
||||||
typedef Polyhedron::Halfedge_around_facet_const_circulator
|
|
||||||
Halfedge_around_facet_const_circulator;
|
|
||||||
|
|
||||||
typedef Kernel::Oriented_side_2 Oriented_side_2;
|
|
||||||
typedef Kernel::Construct_line_2 Construct_line_2;
|
|
||||||
typedef Kernel::Construct_projected_xy_point_2
|
|
||||||
Construct_projected_xy_point_2;
|
|
||||||
typedef Kernel::Construct_plane_3 Construct_plane_3;
|
|
||||||
typedef CGAL::Arr_segment_traits_2<Kernel> Traits_2;
|
|
||||||
typedef Traits_2::X_monotone_curve_2 X_monotone_curve_2;
|
|
||||||
typedef CGAL::Arrangement_2<Traits_2> Arrangement_2;
|
|
||||||
typedef CGAL::Arr_accessor<Arrangement_2> Arr_accessor;
|
|
||||||
typedef Arrangement_2::Vertex_handle Vertex_handle;
|
|
||||||
typedef Arrangement_2::Halfedge_handle Arr_halfedge;
|
|
||||||
|
|
||||||
void my_failure_function (const char *type,
|
|
||||||
const char *expression,
|
|
||||||
const char *file,
|
|
||||||
int line,
|
|
||||||
const char *explanation)
|
|
||||||
{
|
|
||||||
std::cout<<explanation<<"\n";
|
|
||||||
}
|
|
||||||
CGAL::Timer t_boundary;
|
|
||||||
CGAL::Timer t_do_x;
|
|
||||||
|
|
||||||
class Make_xy_monotone
|
|
||||||
{
|
|
||||||
protected:
|
|
||||||
typedef std::list<Arrangement_2*> XY_surfaces_list;
|
|
||||||
|
|
||||||
std::queue<Facet_const_iterator> m_queue;
|
|
||||||
CGAL::Unique_hash_map<Facet_const_iterator, bool> m_status_map;
|
|
||||||
CGAL::Unique_hash_map<Halfedge_const_handle, Arr_halfedge> m_edges_map;
|
|
||||||
|
|
||||||
public:
|
|
||||||
|
|
||||||
void operator()(const Polyhedron& p, XY_surfaces_list& xy_surfaces)
|
|
||||||
{
|
|
||||||
m_status_map =
|
|
||||||
CGAL::Unique_hash_map<Facet_const_iterator, bool>(false, p.size_of_facets());
|
|
||||||
|
|
||||||
m_edges_map = CGAL::Unique_hash_map<Halfedge_const_handle,
|
|
||||||
Arr_halfedge>(Arr_halfedge());
|
|
||||||
|
|
||||||
for (Facet_const_iterator f = p.facets_begin(); f != p.facets_end(); ++f)
|
|
||||||
{
|
|
||||||
if (! m_status_map[f])
|
|
||||||
bfs(f, xy_surfaces);
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
void bfs(Facet_const_iterator f, XY_surfaces_list& xy_surfaces)
|
|
||||||
{
|
|
||||||
m_edges_map.clear(); // clear the previous data of the edges map
|
|
||||||
|
|
||||||
m_status_map[f] = true;
|
|
||||||
if(is_vertical(f))
|
|
||||||
return;
|
|
||||||
|
|
||||||
bool is_back_face = is_back_facet(f);
|
|
||||||
//std::cout<<"bfs!!!\n";
|
|
||||||
Arrangement_2* arr = new Arrangement_2;
|
|
||||||
xy_surfaces.push_back(arr);
|
|
||||||
m_queue.push(f);
|
|
||||||
while(!m_queue.empty())
|
|
||||||
{
|
|
||||||
f = m_queue.front();
|
|
||||||
m_queue.pop();
|
|
||||||
|
|
||||||
// add f to current xy_surface
|
|
||||||
bool _was_added = add_facet_to_arr(*arr, f, is_back_face);
|
|
||||||
if(!_was_added)
|
|
||||||
continue;
|
|
||||||
Halfedge_around_facet_const_circulator haf = f->facet_begin();
|
|
||||||
Halfedge_around_facet_const_circulator curr = haf;
|
|
||||||
do
|
|
||||||
{
|
|
||||||
if(curr->opposite()->is_border())
|
|
||||||
{
|
|
||||||
++curr;
|
|
||||||
continue;
|
|
||||||
}
|
|
||||||
Facet_const_iterator neighbour_f = curr->opposite()->face();
|
|
||||||
|
|
||||||
bool& is_done = m_status_map[neighbour_f];
|
|
||||||
if (!is_done)
|
|
||||||
{
|
|
||||||
if(is_vertical(neighbour_f))
|
|
||||||
{
|
|
||||||
is_done = true;
|
|
||||||
}
|
|
||||||
else
|
|
||||||
if(are_xy_mon(curr))
|
|
||||||
{
|
|
||||||
is_done = true;
|
|
||||||
m_queue.push(neighbour_f);
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
++curr;
|
|
||||||
} while(curr != haf);
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
bool is_vertical(Facet_const_iterator f)
|
|
||||||
{
|
|
||||||
CGAL_assertion(f->facet_degree() > 2);
|
|
||||||
Halfedge_const_handle he = f->halfedge();
|
|
||||||
const Point_3& p1 = he->vertex()->point();
|
|
||||||
const Point_3& p2 = he->next()->vertex()->point();
|
|
||||||
const Point_3& p3 = he->next()->next()->vertex()->point();
|
|
||||||
Kernel k;
|
|
||||||
return (k.collinear_2_object()(project_xy(p1),
|
|
||||||
project_xy(p2),
|
|
||||||
project_xy(p3)));
|
|
||||||
}
|
|
||||||
bool are_xy_mon(Halfedge_const_handle he)
|
|
||||||
{
|
|
||||||
/*
|
|
||||||
* t
|
|
||||||
* *|*
|
|
||||||
* * | *
|
|
||||||
* * ^| *
|
|
||||||
* * || *
|
|
||||||
* p1 * he|| * p2
|
|
||||||
* * f1|| f2 *
|
|
||||||
* * || *
|
|
||||||
* * | *
|
|
||||||
* * | *
|
|
||||||
* *|*
|
|
||||||
* s
|
|
||||||
*/
|
|
||||||
|
|
||||||
CGAL_assertion(!is_vertical(he->face()) &&
|
|
||||||
!is_vertical(he->opposite()->face()));
|
|
||||||
|
|
||||||
const Point_2& p1 = project_xy(he->next()->vertex()->point());
|
|
||||||
const Point_2& p2 = project_xy(he->opposite()->next()->vertex()->point());
|
|
||||||
|
|
||||||
Kernel k;
|
|
||||||
|
|
||||||
CGAL_assertion(m_edges_map[he] != Arr_halfedge());
|
|
||||||
const Line_2 & l = m_edges_map[he]->curve().line();
|
|
||||||
|
|
||||||
CGAL::Oriented_side os1 = k.oriented_side_2_object()(l, p1);
|
|
||||||
CGAL::Oriented_side os2 = k.oriented_side_2_object()(l, p2);
|
|
||||||
|
|
||||||
CGAL_assertion(os1 != CGAL::ON_ORIENTED_BOUNDARY &&
|
|
||||||
os2 != CGAL::ON_ORIENTED_BOUNDARY);
|
|
||||||
|
|
||||||
return (os1 != os2);
|
|
||||||
}
|
|
||||||
|
|
||||||
// when we add a new facet to the xy-surface, we have to check that the
|
|
||||||
// projected edges of the faces doesn't intersect the projected boundary
|
|
||||||
// of the xy-surface (just cheking adjacent facet is not good enough)
|
|
||||||
// Halfedge_const_handle he : shared halfegde between the current
|
|
||||||
// xy-monotone surface and facet f, such that, he->opposite()->face() == f
|
|
||||||
bool does_projected_facet_intersect_boundary(Facet_const_iterator f,
|
|
||||||
bool is_back_face)
|
|
||||||
{
|
|
||||||
//std::cout<<"does_projected_facet_intersect_boundary ...\n";
|
|
||||||
t_boundary.start();
|
|
||||||
// find that shared halfedge
|
|
||||||
Halfedge_const_handle he;
|
|
||||||
Arr_halfedge arr_he;
|
|
||||||
Halfedge_around_facet_const_circulator haf = f->facet_begin();
|
|
||||||
Halfedge_around_facet_const_circulator curr = haf;
|
|
||||||
do
|
|
||||||
{
|
|
||||||
if((arr_he = m_edges_map[curr->opposite()]) != Arr_halfedge())
|
|
||||||
{
|
|
||||||
he = curr->opposite();
|
|
||||||
break;
|
|
||||||
}
|
|
||||||
curr++;
|
|
||||||
}while(curr != haf);
|
|
||||||
|
|
||||||
if(arr_he == Arr_halfedge())
|
|
||||||
{
|
|
||||||
// when we add he first facet of the xy-monotone surface, thare aren't
|
|
||||||
// any arrangement edges we dont need to check for intersection
|
|
||||||
// with the boundary.
|
|
||||||
t_boundary.stop();
|
|
||||||
return false;
|
|
||||||
}
|
|
||||||
|
|
||||||
if(is_back_face)
|
|
||||||
arr_he = arr_he->twin();
|
|
||||||
|
|
||||||
CGAL_assertion(he->opposite()->face() == f);
|
|
||||||
CGAL_assertion(! arr_he->twin()->face()->is_unbounded());
|
|
||||||
|
|
||||||
Arr_halfedge curr_he;
|
|
||||||
|
|
||||||
Halfedge_const_handle shared_he = he->opposite();
|
|
||||||
Halfedge_const_handle curr_facet_he;
|
|
||||||
|
|
||||||
Kernel k;
|
|
||||||
|
|
||||||
/*int c =0;
|
|
||||||
for(curr_he = arr_he->next(); curr_he!=arr_he; curr_he=curr_he->next(), c++)
|
|
||||||
;
|
|
||||||
std::cout<<"There are : " << c << " edges at the boundary\n";*/
|
|
||||||
for(curr_he = arr_he->next(); curr_he!=arr_he; curr_he=curr_he->next())
|
|
||||||
{
|
|
||||||
for(curr_facet_he = shared_he->next(); curr_facet_he!=shared_he; curr_facet_he=curr_facet_he->next())
|
|
||||||
{
|
|
||||||
if(m_edges_map[curr_facet_he->opposite()] != Arr_halfedge())
|
|
||||||
continue;
|
|
||||||
|
|
||||||
bool _cont = false;
|
|
||||||
Halfedge_const_handle hh = curr_facet_he;
|
|
||||||
do
|
|
||||||
{
|
|
||||||
Arr_halfedge temp_he = m_edges_map[hh];
|
|
||||||
if(temp_he == Arr_halfedge())
|
|
||||||
{
|
|
||||||
temp_he = m_edges_map[hh->opposite()];
|
|
||||||
if(temp_he != Arr_halfedge())
|
|
||||||
temp_he = temp_he->twin();
|
|
||||||
else
|
|
||||||
{
|
|
||||||
hh = hh->next()->opposite();
|
|
||||||
continue;
|
|
||||||
}
|
|
||||||
}
|
|
||||||
if(temp_he->target() == curr_he->source() ||
|
|
||||||
temp_he->target() == curr_he->target())
|
|
||||||
{
|
|
||||||
//std::cout<<"_cont(1) !!!\n";
|
|
||||||
_cont = true;
|
|
||||||
break;
|
|
||||||
}
|
|
||||||
hh = hh->next()->opposite();
|
|
||||||
}while(hh != curr_facet_he);
|
|
||||||
|
|
||||||
if(_cont)
|
|
||||||
continue;
|
|
||||||
|
|
||||||
//_cont = false;
|
|
||||||
Halfedge_const_handle opp_curr_facet_he = curr_facet_he->opposite();
|
|
||||||
hh = opp_curr_facet_he;
|
|
||||||
do
|
|
||||||
{
|
|
||||||
Arr_halfedge temp_he = m_edges_map[hh];
|
|
||||||
if(temp_he == Arr_halfedge())
|
|
||||||
{
|
|
||||||
temp_he = m_edges_map[hh->opposite()];
|
|
||||||
if(temp_he != Arr_halfedge())
|
|
||||||
temp_he = temp_he->twin();
|
|
||||||
else
|
|
||||||
{
|
|
||||||
hh = hh->next()->opposite();
|
|
||||||
continue;
|
|
||||||
}
|
|
||||||
}
|
|
||||||
if(temp_he->target() == curr_he->source() ||
|
|
||||||
temp_he->target() == curr_he->target())
|
|
||||||
{
|
|
||||||
//std::cout<<"_cont(1) !!!\n";
|
|
||||||
_cont = true;
|
|
||||||
break;
|
|
||||||
}
|
|
||||||
hh = hh->next()->opposite();
|
|
||||||
}while(hh != opp_curr_facet_he);
|
|
||||||
|
|
||||||
if(_cont)
|
|
||||||
continue;
|
|
||||||
|
|
||||||
Segment_2 seg(project_xy(curr_facet_he->opposite()->vertex()->point()),
|
|
||||||
project_xy(curr_facet_he->vertex()->point()));
|
|
||||||
t_do_x.start();
|
|
||||||
bool do_x = k.do_intersect_2_object()(static_cast<Segment_2>(curr_he->curve()), seg);
|
|
||||||
t_do_x.stop();
|
|
||||||
if(do_x)
|
|
||||||
{
|
|
||||||
/*Halfedge_around_facet_const_circulator haf = f->facet_begin();
|
|
||||||
Halfedge_around_facet_const_circulator curr = haf;
|
|
||||||
do
|
|
||||||
{
|
|
||||||
std::cout<< curr->opposite()->vertex()->point() <<" --> " << curr->vertex()->point()<<"\n";
|
|
||||||
curr++;
|
|
||||||
}while(curr != haf);
|
|
||||||
|
|
||||||
std::ofstream file("boundary.arr");
|
|
||||||
if(!file.is_open())
|
|
||||||
{
|
|
||||||
std::cout<<"failed to open file!!!\n";
|
|
||||||
abort();
|
|
||||||
}
|
|
||||||
Arr_halfedge hh = arr_he;
|
|
||||||
do
|
|
||||||
{
|
|
||||||
file << hh->curve() << std::endl;
|
|
||||||
hh = hh->next();
|
|
||||||
}while(hh!=arr_he);
|
|
||||||
std::cout<<"bug: " << curr_facet_he->opposite()->vertex()->point() <<" --> " << curr_facet_he->vertex()->point()<<"\n";
|
|
||||||
std::cout<<"bug2: " << curr_he->curve() << "\n";
|
|
||||||
std::cout<<"is_back_facet? " << is_back_facet(f)<<"\n";
|
|
||||||
t_boundary.stop();
|
|
||||||
std::cout<<"return (true)\n";*/
|
|
||||||
t_boundary.stop();
|
|
||||||
return true;
|
|
||||||
}
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
|
|
||||||
t_boundary.stop();
|
|
||||||
return false;
|
|
||||||
}
|
|
||||||
|
|
||||||
/*Iso_rectangle_2 construct_iso_rectangle_from_facet(Halfedge_const_handle he)
|
|
||||||
{
|
|
||||||
Kernel k;
|
|
||||||
|
|
||||||
Halfedge_const_handle curr_facet_he = he;
|
|
||||||
Point_2 left, right, bottom, top;
|
|
||||||
|
|
||||||
left = right = bottom = top = curr_facet_he->target()->point();
|
|
||||||
curr_facet_he = curr_facet_he->next();
|
|
||||||
do
|
|
||||||
{
|
|
||||||
const Point_2& pt = curr_facet_he->target()->point();
|
|
||||||
if(k.compare_x_2_object(pt, left) == CGAL::SMALLER)
|
|
||||||
left = pt;
|
|
||||||
else
|
|
||||||
if(k.compare_x_2_object(pt, right) == CGAL::LARGER)
|
|
||||||
right = pt;
|
|
||||||
|
|
||||||
if(k.compare_y_2_object(pt, bottom) == CGAL::SMALLER)
|
|
||||||
bottom = pt;
|
|
||||||
else
|
|
||||||
if(k.compare_y_2_object(pt, top) == CGAL::LARGER)
|
|
||||||
top = pt;
|
|
||||||
|
|
||||||
curr_facet_he = curr_facet_he->next();
|
|
||||||
}while(curr_facet_he != he);
|
|
||||||
|
|
||||||
|
|
||||||
return (Iso_rectangle_2 rect(left, right, bottom, top));
|
|
||||||
}*/
|
|
||||||
/*Point_2 project_xy (const Point_3& p)
|
|
||||||
{
|
|
||||||
Kernel k;
|
|
||||||
Plane_3 xy_plane = k.construct_plane_3_object()(RT(0), RT(0), RT(1), RT(0));
|
|
||||||
return (k.construct_projected_xy_point_2_object()(xy_plane, p));
|
|
||||||
}*/
|
|
||||||
|
|
||||||
Point_2 project_xy (const Point_3& p)
|
|
||||||
{
|
|
||||||
return (Point_2(p.x(), p.y()));
|
|
||||||
}
|
|
||||||
|
|
||||||
bool is_back_facet(Facet_const_iterator f)
|
|
||||||
{
|
|
||||||
Kernel k;
|
|
||||||
Plane_3 supp_plane =
|
|
||||||
k.construct_plane_3_object()(f->halfedge()->vertex()->point(),
|
|
||||||
f->halfedge()->next()->vertex()->point(),
|
|
||||||
f->halfedge()->next()->next()->vertex()->point());
|
|
||||||
|
|
||||||
return (supp_plane.c() > 0);
|
|
||||||
}
|
|
||||||
|
|
||||||
bool add_facet_to_arr(Arrangement_2& arr, Facet_const_iterator f, bool is_back)
|
|
||||||
{
|
|
||||||
//std::cout<<"add_facet_to_arr!!!\n";
|
|
||||||
if(does_projected_facet_intersect_boundary(f, is_back))
|
|
||||||
{
|
|
||||||
//std::cout<<"found intersection of current facet with boundary!!!\n";
|
|
||||||
m_status_map[f] = false;
|
|
||||||
return false;
|
|
||||||
}
|
|
||||||
//static int i=1;
|
|
||||||
Halfedge_around_facet_const_circulator haf = f->facet_begin();
|
|
||||||
Halfedge_around_facet_const_circulator curr = haf;
|
|
||||||
do
|
|
||||||
{
|
|
||||||
std::cout<< curr->opposite()->vertex()->point() <<" --> " << curr->vertex()->point()<<"\n";
|
|
||||||
curr++;
|
|
||||||
}while(curr != haf);
|
|
||||||
std::cout<<"*******************************\n";
|
|
||||||
|
|
||||||
haf = f->facet_begin();
|
|
||||||
curr = haf;
|
|
||||||
|
|
||||||
do
|
|
||||||
{
|
|
||||||
Halfedge_const_handle he = curr;
|
|
||||||
|
|
||||||
/*std::cout<<"current polyhedron edge: " << he->opposite()->vertex()->point() <<" --> " << curr->vertex()->point()<<"\n";
|
|
||||||
std::cout<<"is_back? : " << is_back << "\n";*/
|
|
||||||
// look for that polyhedron's halfedge at the edges map
|
|
||||||
Arr_halfedge arr_he = m_edges_map[he->opposite()];
|
|
||||||
CGAL_assertion(m_edges_map[he] == Arr_halfedge());
|
|
||||||
Arr_halfedge prev_he;
|
|
||||||
|
|
||||||
if(arr_he == Arr_halfedge())
|
|
||||||
{
|
|
||||||
// this edge was not inserted to the arrangement yet
|
|
||||||
|
|
||||||
const Point_2& s = project_xy(curr->opposite()->vertex()->point());
|
|
||||||
const Point_2& t = project_xy(curr->vertex()->point());
|
|
||||||
|
|
||||||
X_monotone_curve_2 cv(s, t);
|
|
||||||
|
|
||||||
Arr_halfedge next_he = find_halfedge_before_cw(he, is_back);
|
|
||||||
if(prev_he == Arr_halfedge())
|
|
||||||
prev_he = find_halfedge_before_cw(he->opposite(), is_back);
|
|
||||||
|
|
||||||
bool next_exist = (next_he!=Arr_halfedge());
|
|
||||||
bool prev_exist = (prev_he!=Arr_halfedge());
|
|
||||||
|
|
||||||
//CGAL::Comparison_result res = k.compare_xy_2_object()(s, t);
|
|
||||||
CGAL::Comparison_result res = cv.is_directed_right() ? CGAL::SMALLER : CGAL::LARGER;
|
|
||||||
|
|
||||||
if(!next_exist && !prev_exist)
|
|
||||||
{
|
|
||||||
Arr_accessor arr_accessor(arr);
|
|
||||||
Vertex_handle v1 = arr_accessor.create_vertex(s);
|
|
||||||
Vertex_handle v2 = arr_accessor.create_vertex(t);
|
|
||||||
prev_he =
|
|
||||||
arr_accessor.insert_in_face_interior_ex(cv,
|
|
||||||
arr.unbounded_face(),
|
|
||||||
v1, v2, res);
|
|
||||||
|
|
||||||
//std::cout<<"("<<i++<<")"<<"insert_in_face_interior: " << cv<<"\n";
|
|
||||||
//prev_he = arr.insert_in_face_interior(cv, arr.unbounded_face());
|
|
||||||
if(prev_he->direction() != res)
|
|
||||||
prev_he = prev_he->twin();
|
|
||||||
}
|
|
||||||
else
|
|
||||||
if(!next_exist && prev_exist)
|
|
||||||
{
|
|
||||||
if(res == CGAL::SMALLER)
|
|
||||||
{
|
|
||||||
//std::cout<<"("<<i++<<")"<<"insert_from_left_vertex: " << cv<<"\n";
|
|
||||||
prev_he = arr.insert_from_left_vertex(cv, prev_he);
|
|
||||||
if(prev_he->direction() != res)
|
|
||||||
prev_he = prev_he->twin();
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
//std::cout<<"("<<i++<<")"<<"insert_from_right_vertex: " << cv<<"\n";
|
|
||||||
prev_he = arr.insert_from_right_vertex(cv, prev_he);
|
|
||||||
if(prev_he->direction() != res)
|
|
||||||
prev_he = prev_he->twin();
|
|
||||||
}
|
|
||||||
}
|
|
||||||
else
|
|
||||||
if(next_exist && !prev_exist)
|
|
||||||
{
|
|
||||||
if(res == CGAL::SMALLER)
|
|
||||||
{
|
|
||||||
//std::cout<<"("<<i++<<")"<<"insert_from_right_vertex: " << cv<<"\n";
|
|
||||||
prev_he = arr.insert_from_right_vertex(cv, next_he);
|
|
||||||
if(prev_he->direction() != res)
|
|
||||||
prev_he = prev_he->twin();
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
//std::cout<<"("<<i++<<")"<<"insert_from_left_vertex: " << cv<<"\n";
|
|
||||||
prev_he = arr.insert_from_left_vertex(cv, next_he);
|
|
||||||
if(prev_he->direction() != res)
|
|
||||||
prev_he = prev_he->twin();
|
|
||||||
}
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
/*std::cout<<"("<<i++<<")"<<"insert_at_vertices: " << cv<<"\n";
|
|
||||||
std::cout<<"prev_he: " <<prev_he->source()->point()<<" --> "<< prev_he->target()->point()<<"\n";
|
|
||||||
std::cout<<"next_he: " <<next_he->source()->point()<<" --> "<< next_he->target()->point()<<"\n";*/
|
|
||||||
//TODO: can be done much more efficient using the Arr_accessor !!
|
|
||||||
bool new_face = false;
|
|
||||||
Arr_accessor arr_accessor(arr);
|
|
||||||
if(is_back && !is_opp_face_get_closed(he) || !is_back && is_opp_face_get_closed(he))
|
|
||||||
prev_he = arr_accessor.insert_at_vertices_ex(cv, prev_he, next_he, res, new_face);
|
|
||||||
/*if(is_back && is_curr_facet_get_closed(he) || !is_back && !is_curr_facet_get_closed(he))
|
|
||||||
prev_he = arr_accessor.insert_at_vertices_ex(cv, prev_he, next_he, res, new_face);*/
|
|
||||||
else
|
|
||||||
{
|
|
||||||
if(res == CGAL::SMALLER)
|
|
||||||
prev_he = arr_accessor.insert_at_vertices_ex(cv, next_he, prev_he, CGAL::LARGER, new_face);
|
|
||||||
else
|
|
||||||
prev_he = arr_accessor.insert_at_vertices_ex(cv, next_he, prev_he, CGAL::SMALLER, new_face);
|
|
||||||
}
|
|
||||||
if(prev_he->direction() != res)
|
|
||||||
prev_he = prev_he->twin();
|
|
||||||
/*prev_he = arr.insert_at_vertices(cv, prev_he, next_he);
|
|
||||||
if(prev_he->direction() != res)
|
|
||||||
prev_he = prev_he->twin();*/
|
|
||||||
}
|
|
||||||
//map 'he' of the polyhderon to 'prev_he'
|
|
||||||
|
|
||||||
std::ofstream arr_file("temp.arr");
|
|
||||||
if(!arr_file.is_open())
|
|
||||||
{
|
|
||||||
std::cout<<"cannot open file !!!\n";
|
|
||||||
exit(-1);
|
|
||||||
}
|
|
||||||
arr_file << arr;
|
|
||||||
if(!CGAL::is_valid(arr))
|
|
||||||
abort();
|
|
||||||
m_edges_map[he] = prev_he;
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
prev_he = arr_he->twin();
|
|
||||||
}
|
|
||||||
|
|
||||||
CGAL_assertion(prev_he->source()->point() ==
|
|
||||||
project_xy(he->opposite()->vertex()->point()));
|
|
||||||
CGAL_assertion(prev_he->target()->point() ==
|
|
||||||
project_xy(he->vertex()->point()));
|
|
||||||
|
|
||||||
|
|
||||||
++curr;
|
|
||||||
} while(curr != haf);
|
|
||||||
|
|
||||||
return true;
|
|
||||||
}
|
|
||||||
|
|
||||||
bool is_opp_face_get_closed(Halfedge_const_handle he)
|
|
||||||
{
|
|
||||||
Halfedge_const_handle first = he->opposite();
|
|
||||||
for(first = first->next(); first != he->opposite(); first = first->next())
|
|
||||||
{
|
|
||||||
if(m_edges_map[first->opposite()] == Arr_halfedge())
|
|
||||||
return false;
|
|
||||||
}
|
|
||||||
return true;
|
|
||||||
}
|
|
||||||
|
|
||||||
bool is_curr_facet_get_closed(Halfedge_const_handle he)
|
|
||||||
{
|
|
||||||
Halfedge_const_handle first = he->next();
|
|
||||||
for(; first != he; first = first->next())
|
|
||||||
{
|
|
||||||
if(m_edges_map[first] == Arr_halfedge() ||
|
|
||||||
m_edges_map[first->opposite()] == Arr_halfedge())
|
|
||||||
return false;
|
|
||||||
}
|
|
||||||
return true;
|
|
||||||
|
|
||||||
}
|
|
||||||
|
|
||||||
Arr_halfedge find_halfedge_before_cw(Halfedge_const_handle he, bool is_back_face)
|
|
||||||
{
|
|
||||||
// iterate the halfedges around the target vertex of 'he' counter-clockwise
|
|
||||||
// and find the first halfedge that was inserterd to the arrangement.
|
|
||||||
Halfedge_const_handle curr;
|
|
||||||
if(is_back_face)
|
|
||||||
curr = he->prev_on_vertex();
|
|
||||||
else
|
|
||||||
curr = he->next_on_vertex();
|
|
||||||
do
|
|
||||||
{
|
|
||||||
Arr_halfedge res = m_edges_map[curr];
|
|
||||||
if(res != Arr_halfedge())
|
|
||||||
return res;
|
|
||||||
|
|
||||||
res = m_edges_map[curr->opposite()];
|
|
||||||
if(res != Arr_halfedge())
|
|
||||||
return res->twin();
|
|
||||||
|
|
||||||
if(is_back_face)
|
|
||||||
curr = curr->prev_on_vertex();
|
|
||||||
else
|
|
||||||
curr = curr->next_on_vertex();
|
|
||||||
} while(curr != he);
|
|
||||||
|
|
||||||
return Arr_halfedge();
|
|
||||||
}
|
|
||||||
|
|
||||||
};
|
|
||||||
|
|
||||||
Point_2 project_xy (const Point_3& p)
|
|
||||||
{
|
|
||||||
return (Point_2(p.x(), p.y()));
|
|
||||||
}
|
|
||||||
|
|
||||||
bool test_xy_mon(std::vector<Facet_const_iterator>& surf)
|
|
||||||
{
|
|
||||||
CGAL::Unique_hash_map<Halfedge_const_handle, bool> edges_hash(false);
|
|
||||||
typedef CGAL::Arr_segment_traits_2<Kernel> Traits;
|
|
||||||
typedef Traits::Curve_2 Curve_2;
|
|
||||||
std::list<Curve_2> curves;
|
|
||||||
for(unsigned int i=0; i< surf.size(); ++i)
|
|
||||||
{
|
|
||||||
Facet_const_iterator curr_f = surf[i];
|
|
||||||
Halfedge_around_facet_const_circulator haf = curr_f->facet_begin();
|
|
||||||
Halfedge_around_facet_const_circulator curr = haf;
|
|
||||||
do
|
|
||||||
{
|
|
||||||
Halfedge_const_handle he = curr;
|
|
||||||
if(!edges_hash[he] && !edges_hash[he->opposite()])
|
|
||||||
{
|
|
||||||
Curve_2 cv(project_xy(he->vertex()->point()),
|
|
||||||
project_xy(he->opposite()->vertex()->point()));
|
|
||||||
curves.push_back(cv);
|
|
||||||
edges_hash[he] = edges_hash[he->opposite()] = true;
|
|
||||||
}
|
|
||||||
|
|
||||||
++curr;
|
|
||||||
}while(curr != haf);
|
|
||||||
}
|
|
||||||
|
|
||||||
bool do_x = CGAL::do_curves_intersect(curves.begin(), curves.end());
|
|
||||||
return (!do_x);
|
|
||||||
}
|
|
||||||
int main(int argc, char** argv)
|
|
||||||
{
|
|
||||||
CGAL::set_warning_handler(my_failure_function);
|
|
||||||
//CGAL::set_error_behaviour (CGAL::CONTINUE);
|
|
||||||
|
|
||||||
if(argc<2)
|
|
||||||
{
|
|
||||||
std::cout<<"Missing off file\n";
|
|
||||||
return (-1);
|
|
||||||
}
|
|
||||||
|
|
||||||
std::ifstream off_file(argv[1]);
|
|
||||||
if(!off_file.is_open())
|
|
||||||
{
|
|
||||||
std::cout<<"Failed to open file\n";
|
|
||||||
return (-1);
|
|
||||||
}
|
|
||||||
|
|
||||||
CGAL::Timer t;
|
|
||||||
Polyhedron p;
|
|
||||||
//off_file >> p;
|
|
||||||
// reads a polyhedron from `in' and appends it to P.
|
|
||||||
t.start();
|
|
||||||
CGAL::scan_OFF(off_file, p, true);
|
|
||||||
t.stop();
|
|
||||||
|
|
||||||
if ( (off_file.rdstate() & std::ios::badbit ) != 0 )
|
|
||||||
std::cerr << "Error opening "<<argv[1] <<"\n";
|
|
||||||
|
|
||||||
std::cout<<"Reading OFF file took: " <<t.time()<<" seconds\n";
|
|
||||||
t.reset();
|
|
||||||
if(p.empty())
|
|
||||||
return 0;
|
|
||||||
|
|
||||||
Facet_const_iterator f = p.facets_begin();
|
|
||||||
|
|
||||||
std::cout << "|V| = " <<p.size_of_vertices()<<std::endl;
|
|
||||||
std::cout << "|E| = " <<p.size_of_halfedges()<<std::endl;
|
|
||||||
std::cout << "|F| = " <<p.size_of_facets()<<std::endl;
|
|
||||||
|
|
||||||
std::list<Arrangement_2*> xy_surfs;
|
|
||||||
typedef std::list<Arrangement_2*>::iterator Xy_surf_itr;
|
|
||||||
Make_xy_monotone make_xy;
|
|
||||||
t.start();
|
|
||||||
make_xy(p, xy_surfs);
|
|
||||||
t.stop();
|
|
||||||
std::cout<<"Making the surface xy-monotone took: " <<t.time()<<" seconds\n";
|
|
||||||
std::cout<<"Intersecting with boundary took : " <<t_boundary.time()<<" seconds\n";
|
|
||||||
std::cout<<"do intersect took : " <<t_do_x.time()<<" seconds\n";
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
std::cout<<"There are: " << xy_surfs.size() << " xy-surfaces\n";
|
|
||||||
unsigned int i=1;
|
|
||||||
for(Xy_surf_itr itr = xy_surfs.begin(); itr != xy_surfs.end(); ++itr, ++i)
|
|
||||||
{
|
|
||||||
std::cout<<"#" <<i<<" surface : "<<std::endl;
|
|
||||||
std::cout<<" |V| = "<<(*itr)->number_of_vertices()<<std::endl;
|
|
||||||
std::cout<<" |E| = "<<(*itr)->number_of_edges()<<std::endl;
|
|
||||||
std::cout<<" |F| = "<<(*itr)->number_of_faces()<<std::endl;
|
|
||||||
|
|
||||||
std::cout<<"is_valid? " << CGAL::is_valid(**itr)<<std::endl;
|
|
||||||
if(i<10)
|
|
||||||
{
|
|
||||||
char buffer[33];
|
|
||||||
buffer[0] = '1' + i-1;
|
|
||||||
buffer[1] = '\0';
|
|
||||||
std::string prog_name (argv[1]);
|
|
||||||
std::string filename("surface");
|
|
||||||
std::string prefix (buffer);
|
|
||||||
std::string temp(".arr");
|
|
||||||
prefix += temp;
|
|
||||||
filename += prefix;
|
|
||||||
std::cout << filename<<"\n";
|
|
||||||
std::ofstream arr_file(filename.c_str());
|
|
||||||
if(!arr_file.is_open())
|
|
||||||
std::cout<<"Failed to open: " << filename<<"\n";
|
|
||||||
arr_file << **itr;
|
|
||||||
}
|
|
||||||
|
|
||||||
}
|
|
||||||
|
|
||||||
return (0);
|
|
||||||
}
|
|
||||||
|
|
@ -0,0 +1,101 @@
|
||||||
|
100
|
||||||
|
761 -584 331 12321
|
||||||
|
526 -634 133 24964
|
||||||
|
-170 68 -345 28224
|
||||||
|
77 862 -811 23409
|
||||||
|
-790 222 -93 576
|
||||||
|
-228 263 -846 47961
|
||||||
|
458 -747 -520 31684
|
||||||
|
662 505 13 24964
|
||||||
|
88 -187 -698 11236
|
||||||
|
584 -350 899 1369
|
||||||
|
-999 981 628 25600
|
||||||
|
-634 114 389 8100
|
||||||
|
433 769 -83 32041
|
||||||
|
295 958 746 13924
|
||||||
|
-482 -135 -176 5776
|
||||||
|
781 17 32 43681
|
||||||
|
-965 497 803 55225
|
||||||
|
539 -489 261 256
|
||||||
|
-648 -187 -75 61504
|
||||||
|
1 -288 -986 7396
|
||||||
|
-16 -659 598 55225
|
||||||
|
-901 730 598 9604
|
||||||
|
868 -353 963 14641
|
||||||
|
826 -607 396 22801
|
||||||
|
-309 215 -307 33489
|
||||||
|
708 -751 210 53824
|
||||||
|
205 -948 -8 44521
|
||||||
|
716 313 25 28900
|
||||||
|
-471 -761 -434 12100
|
||||||
|
240 -748 -82 52900
|
||||||
|
580 849 919 34969
|
||||||
|
310 447 -97 48841
|
||||||
|
957 410 1 19044
|
||||||
|
-650 -192 -130 11025
|
||||||
|
565 500 -304 15376
|
||||||
|
813 -289 386 26244
|
||||||
|
865 702 94 5625
|
||||||
|
179 -271 -699 2809
|
||||||
|
417 293 -983 5041
|
||||||
|
668 -789 -454 32761
|
||||||
|
518 -870 785 7921
|
||||||
|
-34 32 366 52900
|
||||||
|
-623 -966 -322 484
|
||||||
|
184 -96 -365 361
|
||||||
|
-314 599 -15 9604
|
||||||
|
395 -14 -450 9409
|
||||||
|
98 -919 -636 51529
|
||||||
|
826 -618 -770 6889
|
||||||
|
119 -602 408 12769
|
||||||
|
330 -57 -174 51076
|
||||||
|
459 -271 -505 28561
|
||||||
|
-507 -905 -987 9604
|
||||||
|
-474 -228 -21 5476
|
||||||
|
429 405 355 1600
|
||||||
|
28 -609 -459 61504
|
||||||
|
-986 -59 225 49
|
||||||
|
-905 303 -378 484
|
||||||
|
-524 533 719 43681
|
||||||
|
-126 -58 545 31329
|
||||||
|
816 767 -334 17424
|
||||||
|
-455 -738 995 36100
|
||||||
|
-361 -725 455 12996
|
||||||
|
410 253 947 10609
|
||||||
|
-183 -391 -526 6084
|
||||||
|
206 149 902 47961
|
||||||
|
-853 -625 -69 51076
|
||||||
|
450 -3 -55 57600
|
||||||
|
-16 -284 39 2025
|
||||||
|
925 -738 515 900
|
||||||
|
692 -72 -611 3721
|
||||||
|
953 -77 -795 50625
|
||||||
|
-771 -621 -250 13924
|
||||||
|
481 -673 388 1681
|
||||||
|
-909 -199 -201 61009
|
||||||
|
240 -296 614 18496
|
||||||
|
614 633 -178 19321
|
||||||
|
-389 -421 -31 9025
|
||||||
|
326 618 -581 12996
|
||||||
|
588 133 402 49284
|
||||||
|
-484 522 327 42849
|
||||||
|
438 727 19 8100
|
||||||
|
817 -523 -26 19881
|
||||||
|
-856 864 202 3136
|
||||||
|
-56 -336 -315 26569
|
||||||
|
646 -722 -224 32400
|
||||||
|
280 99 -984 2916
|
||||||
|
859 -932 630 28900
|
||||||
|
477 -514 -758 40401
|
||||||
|
-388 888 567 196
|
||||||
|
-865 215 156 9604
|
||||||
|
861 -764 672 6889
|
||||||
|
-662 209 110 41209
|
||||||
|
-797 -588 -71 44521
|
||||||
|
-134 95 71 34596
|
||||||
|
142 870 -984 1024
|
||||||
|
-757 886 661 32761
|
||||||
|
-690 516 -57 26569
|
||||||
|
-204 757 -198 529
|
||||||
|
-316 325 -720 51076
|
||||||
|
899 -518 -108 36864
|
||||||
|
|
@ -37,6 +37,10 @@
|
||||||
// this cache doesn't help much
|
// this cache doesn't help much
|
||||||
#define CGAL_ENV_TRIANGLES_TRAITS_CACHE_POINT_ON
|
#define CGAL_ENV_TRIANGLES_TRAITS_CACHE_POINT_ON
|
||||||
|
|
||||||
|
#ifdef CGAL_ENV_TRIANGLES_TRAITS_CACHE_POINT_ON
|
||||||
|
#include <map>
|
||||||
|
#endif
|
||||||
|
|
||||||
CGAL_BEGIN_NAMESPACE
|
CGAL_BEGIN_NAMESPACE
|
||||||
|
|
||||||
template <class Kernel_> class Env_triangle_3;
|
template <class Kernel_> class Env_triangle_3;
|
||||||
|
|
|
||||||
|
|
@ -21,12 +21,10 @@
|
||||||
#define ENVELOPE_OVERLAY_2_H
|
#define ENVELOPE_OVERLAY_2_H
|
||||||
|
|
||||||
#include <CGAL/Arr_overlay.h>
|
#include <CGAL/Arr_overlay.h>
|
||||||
#include <CGAL/Envelope_overlay_functor.h>
|
#include <CGAL/Envelope_3/Envelope_overlay_functor.h>
|
||||||
|
|
||||||
#include <iostream>
|
#include <iostream>
|
||||||
|
|
||||||
//#define CGAL_DEBUG_ENVELOPE_OVERLAY_2
|
|
||||||
|
|
||||||
CGAL_BEGIN_NAMESPACE
|
CGAL_BEGIN_NAMESPACE
|
||||||
|
|
||||||
template <class MinimizationDiagram_2,
|
template <class MinimizationDiagram_2,
|
||||||
|
|
@ -56,54 +54,16 @@ public:
|
||||||
Minimization_diagram_2& md2,
|
Minimization_diagram_2& md2,
|
||||||
Minimization_diagram_2& result)
|
Minimization_diagram_2& result)
|
||||||
{
|
{
|
||||||
#ifdef CGAL_DEBUG_ENVELOPE_OVERLAY_2
|
|
||||||
cout << "In overlay: print edges of md1" << endl;
|
|
||||||
for(Halfedge_iterator hi = md1.halfedges_begin();
|
|
||||||
hi != md1.halfedges_end(); ++hi, ++hi)
|
|
||||||
cout << hi->curve() << endl;
|
|
||||||
cout << "In overlay: print isolated vertices of md1" << endl;
|
|
||||||
for(Vertex_iterator vi = md1.vertices_begin();
|
|
||||||
vi != md1.vertices_end(); ++vi)
|
|
||||||
if (vi->is_isolated())
|
|
||||||
cout << vi->point() << endl;
|
|
||||||
cout << "In overlay: print edges of md2" << endl;
|
|
||||||
for(Halfedge_iterator hi = md2.halfedges_begin();
|
|
||||||
hi != md2.halfedges_end(); ++hi, ++hi)
|
|
||||||
cout << hi->curve() << endl;
|
|
||||||
cout << "In overlay: print isolated vertices of md2" << endl;
|
|
||||||
for(Vertex_iterator vi = md2.vertices_begin();
|
|
||||||
vi != md2.vertices_end(); ++vi)
|
|
||||||
if (vi->is_isolated())
|
|
||||||
cout << vi->point() << endl;
|
|
||||||
cout << "In overlay: print faces of md1" << endl;
|
|
||||||
print_faces(md1);
|
|
||||||
cout << "In overlay: print faces of md2" << endl;
|
|
||||||
print_faces(md2);
|
|
||||||
|
|
||||||
#endif
|
|
||||||
|
|
||||||
Overlay_functor overlay_func(md1, md2, result);
|
Overlay_functor overlay_func(md1, md2, result);
|
||||||
overlay(md1, md2, result, overlay_func);
|
overlay(md1, md2, result, overlay_func);
|
||||||
|
|
||||||
#ifdef CGAL_DEBUG_ENVELOPE_OVERLAY_2
|
|
||||||
cout << endl;
|
|
||||||
cout << "In overlay: print faces at the end" << endl;
|
|
||||||
print_faces(result);
|
|
||||||
#endif
|
|
||||||
|
|
||||||
#ifdef CGAL_DEBUG_ENVELOPE_OVERLAY_2
|
|
||||||
cout << "In overlay: print vertices at the end" << endl;
|
|
||||||
print_vertices(result);
|
|
||||||
|
|
||||||
cout << "In overlay: print edges at the end" << endl;
|
|
||||||
print_edges(result);
|
|
||||||
#endif
|
|
||||||
|
|
||||||
post_test_assertions(result);
|
post_test_assertions(result);
|
||||||
}
|
}
|
||||||
|
|
||||||
|
|
||||||
public:
|
public:
|
||||||
|
|
||||||
|
/*
|
||||||
void print_face(Face_handle fh)
|
void print_face(Face_handle fh)
|
||||||
{
|
{
|
||||||
std::cout << (fh->is_unbounded() ? "unbounded" : "bounded");
|
std::cout << (fh->is_unbounded() ? "unbounded" : "bounded");
|
||||||
|
|
@ -207,6 +167,7 @@ public:
|
||||||
}
|
}
|
||||||
std::cout << std::endl;
|
std::cout << std::endl;
|
||||||
}
|
}
|
||||||
|
*/
|
||||||
|
|
||||||
void post_test_assertions(Minimization_diagram_2& md)
|
void post_test_assertions(Minimization_diagram_2& md)
|
||||||
{
|
{
|
||||||
|
|
@ -27,7 +27,7 @@
|
||||||
#include <CGAL/Object.h>
|
#include <CGAL/Object.h>
|
||||||
#include <CGAL/enum.h>
|
#include <CGAL/enum.h>
|
||||||
#include <CGAL/Arr_observer.h>
|
#include <CGAL/Arr_observer.h>
|
||||||
#include <CGAL/Overlay_2.h>
|
#include <CGAL/Envelope_3/Env_overlay_2.h>
|
||||||
#include <CGAL/Envelope_3/Envelope_element_visitor_3.h>
|
#include <CGAL/Envelope_3/Envelope_element_visitor_3.h>
|
||||||
#include <CGAL/Envelope_3/No_vertical_decomposition_2.h>
|
#include <CGAL/Envelope_3/No_vertical_decomposition_2.h>
|
||||||
#include <CGAL/Envelope_3/set_dividors.h>
|
#include <CGAL/Envelope_3/set_dividors.h>
|
||||||
|
|
|
||||||
|
|
@ -82,7 +82,23 @@ public:
|
||||||
{
|
{
|
||||||
m_decision = dec;
|
m_decision = dec;
|
||||||
}
|
}
|
||||||
|
|
||||||
|
/*! User-friendly interface: */
|
||||||
|
size_t number_of_surfaces () const
|
||||||
|
{
|
||||||
|
return (m_data.size());
|
||||||
|
}
|
||||||
|
|
||||||
|
Data_const_iterator surfaces_begin () const
|
||||||
|
{
|
||||||
|
return (m_data.begin());
|
||||||
|
}
|
||||||
|
|
||||||
|
Data_const_iterator surfaces_end () const
|
||||||
|
{
|
||||||
|
return (m_data.end());
|
||||||
|
}
|
||||||
|
|
||||||
/*!
|
/*!
|
||||||
* Get the number of data objects associated with the face.
|
* Get the number of data objects associated with the face.
|
||||||
*/
|
*/
|
||||||
|
|
|
||||||
|
|
@ -24,9 +24,6 @@
|
||||||
#include <CGAL/Object.h>
|
#include <CGAL/Object.h>
|
||||||
#include <utility>
|
#include <utility>
|
||||||
|
|
||||||
#include <iostream>
|
|
||||||
|
|
||||||
|
|
||||||
CGAL_BEGIN_NAMESPACE
|
CGAL_BEGIN_NAMESPACE
|
||||||
|
|
||||||
template< class Traits_, class Arrangement_, class OutputIterator>
|
template< class Traits_, class Arrangement_, class OutputIterator>
|
||||||
|
|
@ -66,9 +63,6 @@ public:
|
||||||
//(above_on_event is true iff 'above' subcurve is on the event
|
//(above_on_event is true iff 'above' subcurve is on the event
|
||||||
bool after_handle_event(Event* event, SL_iterator above, bool above_on_event)
|
bool after_handle_event(Event* event, SL_iterator above, bool above_on_event)
|
||||||
{
|
{
|
||||||
#ifdef CGAL_DEBUG_PARTIAL_VD
|
|
||||||
std::cout << "in after_handle_event " << event->get_point() << std::endl;
|
|
||||||
#endif
|
|
||||||
// we should never have above_on_event = true since we sweep an existing
|
// we should never have above_on_event = true since we sweep an existing
|
||||||
// arrangement
|
// arrangement
|
||||||
CGAL_assertion(!above_on_event);
|
CGAL_assertion(!above_on_event);
|
||||||
|
|
@ -105,20 +99,11 @@ public:
|
||||||
{
|
{
|
||||||
// should change the previous pair - is sees the current event point
|
// should change the previous pair - is sees the current event point
|
||||||
// instead of the previous above curve
|
// instead of the previous above curve
|
||||||
#ifdef CGAL_DEBUG_PARTIAL_VD
|
|
||||||
std::cout << "found a point pair: " << m_last_event->get_point()
|
|
||||||
<< " and " << event->get_point() << std::endl;
|
|
||||||
#endif
|
|
||||||
Vertex_const_handle pvh = m_last_event->get_point().get_vertex_handle();
|
Vertex_const_handle pvh = m_last_event->get_point().get_vertex_handle();
|
||||||
if (event_should_shoot_down || m_last_should_shoot_up)
|
if (event_should_shoot_down || m_last_should_shoot_up)
|
||||||
*m_out++ = std::make_pair(CGAL::make_object(pvh), CGAL::make_object(vh));
|
*m_out++ = std::make_pair(CGAL::make_object(pvh),
|
||||||
else
|
CGAL::make_object(vh));
|
||||||
{
|
|
||||||
#ifdef CGAL_DEBUG_PARTIAL_VD
|
|
||||||
std::cout << "point pair doesn't follow partial vd rules"
|
|
||||||
<< std::endl;
|
|
||||||
#endif
|
|
||||||
}
|
|
||||||
previous_event_see_current = true;
|
previous_event_see_current = true;
|
||||||
}
|
}
|
||||||
else
|
else
|
||||||
|
|
@ -126,23 +111,13 @@ public:
|
||||||
// keep the previous pair, if existed
|
// keep the previous pair, if existed
|
||||||
if (m_last_above != NULL)
|
if (m_last_above != NULL)
|
||||||
{
|
{
|
||||||
#ifdef CGAL_DEBUG_PARTIAL_VD
|
|
||||||
std::cout << "found a pair: " << m_last_event->get_point()
|
|
||||||
<< " and " << m_last_above->get_last_curve() << std::endl;
|
|
||||||
#endif
|
|
||||||
Halfedge_const_handle phe = m_last_above->get_last_curve().get_halfedge_handle();
|
Halfedge_const_handle phe = m_last_above->get_last_curve().get_halfedge_handle();
|
||||||
Vertex_const_handle pvh = m_last_event->get_point().get_vertex_handle();
|
Vertex_const_handle pvh = m_last_event->get_point().get_vertex_handle();
|
||||||
CGAL_assertion(m_arr.get_traits()->equal_2_object()(m_last_event->get_point(),
|
CGAL_assertion(m_arr.get_traits()->equal_2_object()(m_last_event->get_point(),
|
||||||
pvh->point()));
|
pvh->point()));
|
||||||
if (m_last_should_shoot_up)
|
if (m_last_should_shoot_up)
|
||||||
*m_out++ = std::make_pair(CGAL::make_object(pvh), CGAL::make_object(phe));
|
*m_out++ = std::make_pair(CGAL::make_object(pvh),
|
||||||
else
|
CGAL::make_object(phe));
|
||||||
{
|
|
||||||
#ifdef CGAL_DEBUG_PARTIAL_VD
|
|
||||||
std::cout << "pair doesn't follow partial vd rules"
|
|
||||||
<< std::endl;
|
|
||||||
#endif
|
|
||||||
}
|
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
|
@ -182,10 +157,6 @@ public:
|
||||||
// the status line
|
// the status line
|
||||||
// it is also not an endpoint, since in this case, we would have
|
// it is also not an endpoint, since in this case, we would have
|
||||||
// previous_event_see_current = true
|
// previous_event_see_current = true
|
||||||
#ifdef CGAL_DEBUG_PARTIAL_VD
|
|
||||||
std::cout << "found a pair: " << event->get_point()
|
|
||||||
<< " and " << (*below)->get_last_curve() << std::endl;
|
|
||||||
#endif
|
|
||||||
CGAL_assertion(m_arr.get_traits()->equal_2_object()(event->get_point(),
|
CGAL_assertion(m_arr.get_traits()->equal_2_object()(event->get_point(),
|
||||||
vh->point()));
|
vh->point()));
|
||||||
|
|
||||||
|
|
@ -199,13 +170,6 @@ public:
|
||||||
Halfedge_const_handle he = (*below)->get_last_curve().get_halfedge_handle();
|
Halfedge_const_handle he = (*below)->get_last_curve().get_halfedge_handle();
|
||||||
if (event_should_shoot_down)
|
if (event_should_shoot_down)
|
||||||
*m_out++ = std::make_pair(CGAL::make_object(vh), CGAL::make_object(he));
|
*m_out++ = std::make_pair(CGAL::make_object(vh), CGAL::make_object(he));
|
||||||
else
|
|
||||||
{
|
|
||||||
#ifdef CGAL_DEBUG_PARTIAL_VD
|
|
||||||
std::cout << "pair doesn't follow partial vd rules"
|
|
||||||
<< std::endl;
|
|
||||||
#endif
|
|
||||||
}
|
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
|
|
||||||
|
|
@ -20,15 +20,12 @@
|
||||||
#ifndef CGAL_PARTIAL_VERTICAL_DECOMPOSITION_2_H
|
#ifndef CGAL_PARTIAL_VERTICAL_DECOMPOSITION_2_H
|
||||||
#define CGAL_PARTIAL_VERTICAL_DECOMPOSITION_2_H
|
#define CGAL_PARTIAL_VERTICAL_DECOMPOSITION_2_H
|
||||||
|
|
||||||
//#define CGAL_DEBUG_PARTIAL_VD
|
|
||||||
|
|
||||||
#include <CGAL/Basic_sweep_line_2.h>
|
#include <CGAL/Basic_sweep_line_2.h>
|
||||||
#include <CGAL/Sweep_line_2/Sweep_line_subcurve.h>
|
#include <CGAL/Sweep_line_2/Sweep_line_subcurve.h>
|
||||||
#include <CGAL/Sweep_line_2/Sweep_line_event.h>
|
#include <CGAL/Sweep_line_2/Sweep_line_event.h>
|
||||||
#include <CGAL/Partial_vd_visitor.h>
|
#include <CGAL/Envelope_3/Partial_vd_visitor.h>
|
||||||
#include <CGAL/Partial_vd_meta_traits.h>
|
#include <CGAL/Envelope_3/Partial_vd_meta_traits.h>
|
||||||
#include <CGAL/Unique_hash_map.h>
|
#include <CGAL/Unique_hash_map.h>
|
||||||
#include <CGAL/Timer.h>
|
|
||||||
#include <vector>
|
#include <vector>
|
||||||
#include <iostream>
|
#include <iostream>
|
||||||
|
|
||||||
|
|
@ -84,19 +81,7 @@ public:
|
||||||
|
|
||||||
// Do a partial vertical decomposition on existing arrangement "arr"
|
// Do a partial vertical decomposition on existing arrangement "arr"
|
||||||
void operator()(Arrangement& arr)
|
void operator()(Arrangement& arr)
|
||||||
{
|
{
|
||||||
#ifdef CGAL_DEBUG_PARTIAL_VD
|
|
||||||
cout << "before partial vd: print edges of arr" << endl;
|
|
||||||
for(Halfedge_const_iterator hi = arr.halfedges_begin();
|
|
||||||
hi != arr.halfedges_end(); ++hi, ++hi)
|
|
||||||
cout << hi->curve() << endl;
|
|
||||||
cout << "before partial vd: print isolated vertices of arr" << endl;
|
|
||||||
for(Vertex_const_iterator vi = arr.vertices_begin();
|
|
||||||
vi != arr.vertices_end(); ++vi)
|
|
||||||
if (vi->is_isolated())
|
|
||||||
cout << vi->point() << endl;
|
|
||||||
#endif
|
|
||||||
|
|
||||||
// Go over all arrangement edges.
|
// Go over all arrangement edges.
|
||||||
std::vector<X_monotone_curve_2> xcurves_vec;
|
std::vector<X_monotone_curve_2> xcurves_vec;
|
||||||
xcurves_vec.resize(arr.number_of_edges());
|
xcurves_vec.resize(arr.number_of_edges());
|
||||||
|
|
@ -131,22 +116,14 @@ public:
|
||||||
Visitor visitor (arr, std::back_inserter(vd_pairs));
|
Visitor visitor (arr, std::back_inserter(vd_pairs));
|
||||||
Sweep_line sweep_line (&visitor);
|
Sweep_line sweep_line (&visitor);
|
||||||
|
|
||||||
sweep_timer.start();
|
|
||||||
sweep_line.sweep(xcurves_vec.begin(),
|
sweep_line.sweep(xcurves_vec.begin(),
|
||||||
xcurves_vec.end(),
|
xcurves_vec.end(),
|
||||||
iso_points.begin(),
|
iso_points.begin(),
|
||||||
iso_points.end());
|
iso_points.end());
|
||||||
sweep_timer.stop();
|
|
||||||
|
|
||||||
add_timer.start();
|
|
||||||
_add_vertical_edges(arr, vd_pairs);
|
_add_vertical_edges(arr, vd_pairs);
|
||||||
add_timer.stop();
|
|
||||||
|
|
||||||
#ifdef CGAL_DEBUG_PARTIAL_VD
|
|
||||||
std::cout << "finish partial vd" << std::endl;
|
|
||||||
print_times();
|
|
||||||
#endif
|
|
||||||
}
|
}
|
||||||
|
|
||||||
protected:
|
protected:
|
||||||
// add the vertical edges (that were determined by the sweep) to the
|
// add the vertical edges (that were determined by the sweep) to the
|
||||||
// arrangement
|
// arrangement
|
||||||
|
|
@ -184,20 +161,10 @@ protected:
|
||||||
{
|
{
|
||||||
if (should_add_vertical_edge(arr.non_const_handle(v1), arr.non_const_handle(v2)))
|
if (should_add_vertical_edge(arr.non_const_handle(v1), arr.non_const_handle(v2)))
|
||||||
{
|
{
|
||||||
#ifdef CGAL_DEBUG_PARTIAL_VD
|
|
||||||
std::cout << "got vertex-vertex pair: " << v1->point()
|
|
||||||
<< " and " << v2->point() << std::endl;
|
|
||||||
#endif
|
|
||||||
insert_timer.start();
|
|
||||||
#ifdef CGAL_DEBUG_PARTIAL_VD
|
|
||||||
std::cout << "before insert at vertices: " << v1->point() << " , "
|
|
||||||
<< v2->point() << std::endl;
|
|
||||||
#endif
|
|
||||||
arr.insert_at_vertices(
|
arr.insert_at_vertices(
|
||||||
arr.get_traits()->construct_vertical_2_object()(v1->point(), v2->point()),
|
arr.get_traits()->construct_vertical_2_object()(v1->point(), v2->point()),
|
||||||
arr.non_const_handle(v1),
|
arr.non_const_handle(v1),
|
||||||
arr.non_const_handle(v2));
|
arr.non_const_handle(v2));
|
||||||
insert_timer.stop();
|
|
||||||
}
|
}
|
||||||
continue;
|
continue;
|
||||||
}
|
}
|
||||||
|
|
@ -223,10 +190,6 @@ protected:
|
||||||
if (!should_add_vertical_edge(v, orig_split_he))
|
if (!should_add_vertical_edge(v, orig_split_he))
|
||||||
continue;
|
continue;
|
||||||
|
|
||||||
#ifdef CGAL_DEBUG_PARTIAL_VD
|
|
||||||
std::cout << "got vertex-halfedge pair: " << v->point()
|
|
||||||
<< " and " << orig_split_he->curve() << std::endl;
|
|
||||||
#endif
|
|
||||||
// split split_he and connect the split point with v
|
// split split_he and connect the split point with v
|
||||||
if (map_orig_to_rightmost.is_defined(orig_split_he))
|
if (map_orig_to_rightmost.is_defined(orig_split_he))
|
||||||
// we should split the rightmost halfedge instead
|
// we should split the rightmost halfedge instead
|
||||||
|
|
@ -247,10 +210,6 @@ protected:
|
||||||
split_p = arr.get_traits()->vertical_ray_shoot_2
|
split_p = arr.get_traits()->vertical_ray_shoot_2
|
||||||
(v->point(), split_he->curve());
|
(v->point(), split_he->curve());
|
||||||
Base_X_monotone_curve_2 a,b;
|
Base_X_monotone_curve_2 a,b;
|
||||||
#ifdef CGAL_DEBUG_PARTIAL_VD
|
|
||||||
std::cout << "before edge_split, curve=" << split_he->curve()
|
|
||||||
<< std::endl << " point= " << split_p << std::endl;
|
|
||||||
#endif
|
|
||||||
arr.get_traits()->split_2_object()(split_he->curve(), split_p, a, b);
|
arr.get_traits()->split_2_object()(split_he->curve(), split_p, a, b);
|
||||||
split_he = arr.split_edge(split_he, a, b);
|
split_he = arr.split_edge(split_he, a, b);
|
||||||
// split always returns the halfedge with source = original source
|
// split always returns the halfedge with source = original source
|
||||||
|
|
@ -265,17 +224,10 @@ protected:
|
||||||
prev_split_v = split_v;
|
prev_split_v = split_v;
|
||||||
|
|
||||||
// insert the vertical edge
|
// insert the vertical edge
|
||||||
insert_timer.start();
|
|
||||||
#ifdef CGAL_DEBUG_PARTIAL_VD
|
|
||||||
std::cout << "before insert at vertices: " << v->point() << " , "
|
|
||||||
<< split_p << std::endl;
|
|
||||||
#endif
|
|
||||||
arr.insert_at_vertices(
|
arr.insert_at_vertices(
|
||||||
arr.get_traits()->construct_vertical_2_object()(v->point(), split_p),
|
arr.get_traits()->construct_vertical_2_object()(v->point(), split_p),
|
||||||
v,
|
v,
|
||||||
split_v);
|
split_v);
|
||||||
insert_timer.stop();
|
|
||||||
// insert_x_monotone(arr, Base_X_monotone_curve_2(v->point(), split_p));
|
|
||||||
}
|
}
|
||||||
vd_pairs.clear();
|
vd_pairs.clear();
|
||||||
}
|
}
|
||||||
|
|
@ -283,25 +235,12 @@ protected:
|
||||||
bool should_add_vertical_edge(Vertex_handle v1, Vertex_handle v2)
|
bool should_add_vertical_edge(Vertex_handle v1, Vertex_handle v2)
|
||||||
{
|
{
|
||||||
return true;
|
return true;
|
||||||
// return (!v1->get_is_intersection() || !v2->get_is_intersection());
|
|
||||||
}
|
}
|
||||||
|
|
||||||
bool should_add_vertical_edge(Vertex_handle v, Halfedge_handle he)
|
bool should_add_vertical_edge(Vertex_handle v, Halfedge_handle he)
|
||||||
{
|
{
|
||||||
return true;
|
return true;
|
||||||
// return (!v->get_is_intersection());
|
|
||||||
}
|
}
|
||||||
void print_times()
|
|
||||||
{
|
|
||||||
std::cout << "Partial vd times: " << std::endl;
|
|
||||||
std::cout << "sweep: " << sweep_timer.time() << " seconds" << std::endl;
|
|
||||||
std::cout << "add vertical edges: " << add_timer.time() << " seconds" << std::endl;
|
|
||||||
std::cout << "insert edges: " << insert_timer.time() << " seconds" << std::endl;
|
|
||||||
}
|
|
||||||
|
|
||||||
protected:
|
|
||||||
mutable Timer sweep_timer;
|
|
||||||
mutable Timer add_timer;
|
|
||||||
mutable Timer insert_timer;
|
|
||||||
|
|
||||||
};
|
};
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -37,16 +37,22 @@ template <class Traits_> class Envelope_diagram_2 :
|
||||||
typename Envelope_caching_traits_3<Traits_>::Xy_monotone_surface_3> >
|
typename Envelope_caching_traits_3<Traits_>::Xy_monotone_surface_3> >
|
||||||
{
|
{
|
||||||
public:
|
public:
|
||||||
typedef Traits_ Traits_3;
|
typedef Traits_ Traits_3;
|
||||||
|
|
||||||
protected:
|
protected:
|
||||||
typedef Envelope_caching_traits_3<Traits_3> Cache_traits_3;
|
typedef Envelope_caching_traits_3<Traits_3> Cache_traits_3;
|
||||||
|
|
||||||
public:
|
public:
|
||||||
typedef typename Cache_traits_3::Xy_monotone_surface_3 Xy_monotone_surface_3;
|
typedef typename Cache_traits_3::Xy_monotone_surface_3 Xy_monotone_surface_3;
|
||||||
typedef Arrangement_2<Cache_traits_3,
|
|
||||||
Envelope_pm_dcel<Cache_traits_3,
|
protected:
|
||||||
Xy_monotone_surface_3> > Base;
|
typedef Envelope_pm_dcel<Cache_traits_3,
|
||||||
|
Xy_monotone_surface_3> Env_dcel;
|
||||||
|
|
||||||
|
public:
|
||||||
|
typedef Envelope_diagram_2<Traits_3> Self;
|
||||||
|
typedef Arrangement_2<Cache_traits_3, Env_dcel> Base;
|
||||||
|
typedef typename Env_dcel::Dcel_data_const_iterator Surface_const_iterator;
|
||||||
|
|
||||||
/*! Default constructor. */
|
/*! Default constructor. */
|
||||||
Envelope_diagram_2() :
|
Envelope_diagram_2() :
|
||||||
|
|
@ -69,15 +75,15 @@ public:
|
||||||
*/
|
*/
|
||||||
template <class InputIterator, class Traits>
|
template <class InputIterator, class Traits>
|
||||||
void lower_envelope_3 (InputIterator begin, InputIterator end,
|
void lower_envelope_3 (InputIterator begin, InputIterator end,
|
||||||
Envelope_diagram_2<Traits_>& min_diagram)
|
Envelope_diagram_2<Traits>& min_diagram)
|
||||||
{
|
{
|
||||||
typedef Traits Traits_3;
|
typedef Traits Traits_3;
|
||||||
typedef Envelope_caching_traits_3<Traits_3> Cache_Traits_3;
|
typedef Envelope_caching_traits_3<Traits_3> Cache_traits_3;
|
||||||
typedef typename Envelope_diagram_2<Traits_3>::Base Base_arr_2;
|
typedef typename Envelope_diagram_2<Traits_3>::Base Base_arr_2;
|
||||||
typedef Envelope_divide_and_conquer_3<Cache_traits_3,
|
typedef Envelope_divide_and_conquer_3<Cache_traits_3,
|
||||||
Base_arr_2> Envelope_algorithm;
|
Base_arr_2> Envelope_algorithm;
|
||||||
|
|
||||||
Traits_3 *traits = min_diagram->get_traits();
|
Cache_traits_3 *traits = min_diagram.get_traits();
|
||||||
traits->set_lower();
|
traits->set_lower();
|
||||||
|
|
||||||
Envelope_algorithm env_alg (traits);
|
Envelope_algorithm env_alg (traits);
|
||||||
|
|
@ -94,17 +100,17 @@ void lower_envelope_3 (InputIterator begin, InputIterator end,
|
||||||
* \param max_diag Output: The maximization diagram.
|
* \param max_diag Output: The maximization diagram.
|
||||||
* \pre The value-type of InputIterator is Traits::Surface_3.
|
* \pre The value-type of InputIterator is Traits::Surface_3.
|
||||||
*/
|
*/
|
||||||
template <class InputIterator, class Traits_>
|
template <class InputIterator, class Traits>
|
||||||
void upper_envelope_3 (InputIterator begin, InputIterator end,
|
void upper_envelope_3 (InputIterator begin, InputIterator end,
|
||||||
Envelope_diagram_2<Traits_>& max_diagram)
|
Envelope_diagram_2<Traits>& max_diagram)
|
||||||
{
|
{
|
||||||
typedef Traits Traits_3;
|
typedef Traits Traits_3;
|
||||||
typedef Envelope_caching_traits_3<Traits_3> Cache_Traits_3;
|
typedef Envelope_caching_traits_3<Traits_3> Cache_traits_3;
|
||||||
typedef typename Envelope_diagram_2<Traits_3>::Base Base_arr_2;
|
typedef typename Envelope_diagram_2<Traits_3>::Base Base_arr_2;
|
||||||
typedef Envelope_divide_and_conquer_3<Cache_traits_3,
|
typedef Envelope_divide_and_conquer_3<Cache_traits_3,
|
||||||
Base_arr_2> Envelope_algorithm;
|
Base_arr_2> Envelope_algorithm;
|
||||||
|
|
||||||
Traits_3 *traits = max_diagram->get_traits();
|
Cache_traits_3 *traits = max_diagram.get_traits();
|
||||||
traits->set_upper();
|
traits->set_upper();
|
||||||
|
|
||||||
Envelope_algorithm env_alg (traits);
|
Envelope_algorithm env_alg (traits);
|
||||||
|
|
|
||||||
Loading…
Reference in New Issue