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+%!
+% PostScript prologue for pst-node.tex.
+% Version 97 patch 1, 97/05/09.
+% For distribution, see pstricks.tex.
+%
+/tx@NodeDict 400 dict def tx@NodeDict begin
+tx@Dict begin /T /translate load def end
+/NewNode { gsave /next ED dict dup 3 1 roll def exch { dup 3 1 roll def }
+if begin tx@Dict begin STV CP T exec end /NodeMtrx CM def next end
+grestore } def
+/InitPnode { /Y ED /X ED /NodePos { NodeSep Cos mul NodeSep Sin mul } def
+} def
+/InitCnode { /r ED /Y ED /X ED /NodePos { NodeSep r add dup Cos mul exch
+Sin mul } def } def
+/GetRnodePos { Cos 0 gt { /dx r NodeSep add def } { /dx l NodeSep sub def
+} ifelse Sin 0 gt { /dy u NodeSep add def } { /dy d NodeSep sub def }
+ifelse dx Sin mul abs dy Cos mul abs gt { dy Cos mul Sin div dy } { dx
+dup Sin mul Cos Div } ifelse } def
+/InitRnode { /Y ED /X ED X sub /r ED /l X neg def Y add neg /d ED Y sub
+/u ED /NodePos { GetRnodePos } def } def
+/DiaNodePos { w h mul w Sin mul abs h Cos mul abs add Div NodeSep add dup
+Cos mul exch Sin mul } def
+/TriNodePos { Sin s lt { d NodeSep sub dup Cos mul Sin Div exch } { w h
+mul w Sin mul h Cos abs mul add Div NodeSep add dup Cos mul exch Sin mul
+} ifelse } def
+/InitTriNode { sub 2 div exch 2 div exch 2 copy T 2 copy 4 index index /d
+ED pop pop pop pop -90 mul rotate /NodeMtrx CM def /X 0 def /Y 0 def d
+sub abs neg /d ED d add /h ED 2 div h mul h d sub Div /w ED /s d w Atan
+sin def /NodePos { TriNodePos } def } def
+/OvalNodePos { /ww w NodeSep add def /hh h NodeSep add def Sin ww mul Cos
+hh mul Atan dup cos ww mul exch sin hh mul } def
+/GetCenter { begin X Y NodeMtrx transform CM itransform end } def
+/XYPos { dup sin exch cos Do /Cos ED /Sin ED /Dist ED Cos 0 gt { Dist
+Dist Sin mul Cos div } { Cos 0 lt { Dist neg Dist Sin mul Cos div neg }
+{ 0 Dist Sin mul } ifelse } ifelse Do } def
+/GetEdge { dup 0 eq { pop begin 1 0 NodeMtrx dtransform CM idtransform
+exch atan sub dup sin /Sin ED cos /Cos ED /NodeSep ED NodePos NodeMtrx
+dtransform CM idtransform end } { 1 eq {{exch}} {{}} ifelse /Do ED pop
+XYPos } ifelse } def
+/AddOffset { 1 index 0 eq { pop pop } { 2 copy 5 2 roll cos mul add 4 1
+roll sin mul sub exch } ifelse } def
+/GetEdgeA { NodeSepA AngleA NodeA NodeSepTypeA GetEdge OffsetA AngleA
+AddOffset yA add /yA1 ED xA add /xA1 ED } def
+/GetEdgeB { NodeSepB AngleB NodeB NodeSepTypeB GetEdge OffsetB AngleB
+AddOffset yB add /yB1 ED xB add /xB1 ED } def
+/GetArmA { ArmTypeA 0 eq { /xA2 ArmA AngleA cos mul xA1 add def /yA2 ArmA
+AngleA sin mul yA1 add def } { ArmTypeA 1 eq {{exch}} {{}} ifelse /Do ED
+ArmA AngleA XYPos OffsetA AngleA AddOffset yA add /yA2 ED xA add /xA2 ED
+} ifelse } def
+/GetArmB { ArmTypeB 0 eq { /xB2 ArmB AngleB cos mul xB1 add def /yB2 ArmB
+AngleB sin mul yB1 add def } { ArmTypeB 1 eq {{exch}} {{}} ifelse /Do ED
+ArmB AngleB XYPos OffsetB AngleB AddOffset yB add /yB2 ED xB add /xB2 ED
+} ifelse } def
+/InitNC { /b ED /a ED /NodeSepTypeB ED /NodeSepTypeA ED /NodeSepB ED
+/NodeSepA ED /OffsetB ED /OffsetA ED tx@NodeDict a known tx@NodeDict b
+known and dup { /NodeA a load def /NodeB b load def NodeA GetCenter /yA
+ED /xA ED NodeB GetCenter /yB ED /xB ED } if } def
+/LPutLine { 4 copy 3 -1 roll sub neg 3 1 roll sub Atan /NAngle ED 1 t sub
+mul 3 1 roll 1 t sub mul 4 1 roll t mul add /Y ED t mul add /X ED } def
+/LPutLines { mark LPutVar counttomark 2 div 1 sub /n ED t floor dup n gt
+{ pop n 1 sub /t 1 def } { dup t sub neg /t ED } ifelse cvi 2 mul { pop
+} repeat LPutLine cleartomark } def
+/BezierMidpoint { /y3 ED /x3 ED /y2 ED /x2 ED /y1 ED /x1 ED /y0 ED /x0 ED
+/t ED /cx x1 x0 sub 3 mul def /cy y1 y0 sub 3 mul def /bx x2 x1 sub 3
+mul cx sub def /by y2 y1 sub 3 mul cy sub def /ax x3 x0 sub cx sub bx
+sub def /ay y3 y0 sub cy sub by sub def ax t 3 exp mul bx t t mul mul
+add cx t mul add x0 add ay t 3 exp mul by t t mul mul add cy t mul add
+y0 add 3 ay t t mul mul mul 2 by t mul mul add cy add 3 ax t t mul mul
+mul 2 bx t mul mul add cx add atan /NAngle ED /Y ED /X ED } def
+/HPosBegin { yB yA ge { /t 1 t sub def } if /Y yB yA sub t mul yA add def
+} def
+/HPosEnd { /X Y yyA sub yyB yyA sub Div xxB xxA sub mul xxA add def
+/NAngle yyB yyA sub xxB xxA sub Atan def } def
+/HPutLine { HPosBegin /yyA ED /xxA ED /yyB ED /xxB ED HPosEnd } def
+/HPutLines { HPosBegin yB yA ge { /check { le } def } { /check { ge } def
+} ifelse /xxA xA def /yyA yA def mark xB yB LPutVar { dup Y check { exit
+} { /yyA ED /xxA ED } ifelse } loop /yyB ED /xxB ED cleartomark HPosEnd
+} def
+/VPosBegin { xB xA lt { /t 1 t sub def } if /X xB xA sub t mul xA add def
+} def
+/VPosEnd { /Y X xxA sub xxB xxA sub Div yyB yyA sub mul yyA add def
+/NAngle yyB yyA sub xxB xxA sub Atan def } def
+/VPutLine { VPosBegin /yyA ED /xxA ED /yyB ED /xxB ED VPosEnd } def
+/VPutLines { VPosBegin xB xA ge { /check { le } def } { /check { ge } def
+} ifelse /xxA xA def /yyA yA def mark xB yB LPutVar { 1 index X check {
+exit } { /yyA ED /xxA ED } ifelse } loop /yyB ED /xxB ED cleartomark
+VPosEnd } def
+/HPutCurve { gsave newpath /SaveLPutVar /LPutVar load def LPutVar 8 -2
+roll moveto curveto flattenpath /LPutVar [ {} {} {} {} pathforall ] cvx
+def grestore exec /LPutVar /SaveLPutVar load def } def
+/NCCoor { /AngleA yB yA sub xB xA sub Atan def /AngleB AngleA 180 add def
+GetEdgeA GetEdgeB /LPutVar [ xB1 yB1 xA1 yA1 ] cvx def /LPutPos {
+LPutVar LPutLine } def /HPutPos { LPutVar HPutLine } def /VPutPos {
+LPutVar VPutLine } def LPutVar } def
+/NCLine { NCCoor tx@Dict begin ArrowA CP 4 2 roll ArrowB lineto pop pop
+end } def
+/NCLines { false NArray n 0 eq { NCLine } { 2 copy yA sub exch xA sub
+Atan /AngleA ED n 2 mul dup index exch index yB sub exch xB sub Atan
+/AngleB ED GetEdgeA GetEdgeB /LPutVar [ xB1 yB1 n 2 mul 4 add 4 roll xA1
+yA1 ] cvx def mark LPutVar tx@Dict begin false Line end /LPutPos {
+LPutLines } def /HPutPos { HPutLines } def /VPutPos { VPutLines } def }
+ifelse } def
+/NCCurve { GetEdgeA GetEdgeB xA1 xB1 sub yA1 yB1 sub Pyth 2 div dup 3 -1
+roll mul /ArmA ED mul /ArmB ED /ArmTypeA 0 def /ArmTypeB 0 def GetArmA
+GetArmB xA2 yA2 xA1 yA1 tx@Dict begin ArrowA end xB2 yB2 xB1 yB1 tx@Dict
+begin ArrowB end curveto /LPutVar [ xA1 yA1 xA2 yA2 xB2 yB2 xB1 yB1 ]
+cvx def /LPutPos { t LPutVar BezierMidpoint } def /HPutPos { { HPutLines
+} HPutCurve } def /VPutPos { { VPutLines } HPutCurve } def } def
+/NCAngles { GetEdgeA GetEdgeB GetArmA GetArmB /mtrx AngleA matrix rotate
+def xA2 yA2 mtrx transform pop xB2 yB2 mtrx transform exch pop mtrx
+itransform /y0 ED /x0 ED mark ArmB 0 ne { xB1 yB1 } if xB2 yB2 x0 y0 xA2
+yA2 ArmA 0 ne { xA1 yA1 } if tx@Dict begin false Line end /LPutVar [ xB1
+yB1 xB2 yB2 x0 y0 xA2 yA2 xA1 yA1 ] cvx def /LPutPos { LPutLines } def
+/HPutPos { HPutLines } def /VPutPos { VPutLines } def } def
+/NCAngle { GetEdgeA GetEdgeB GetArmB /mtrx AngleA matrix rotate def xB2
+yB2 mtrx itransform pop xA1 yA1 mtrx itransform exch pop mtrx transform
+/y0 ED /x0 ED mark ArmB 0 ne { xB1 yB1 } if xB2 yB2 x0 y0 xA1 yA1
+tx@Dict begin false Line end /LPutVar [ xB1 yB1 xB2 yB2 x0 y0 xA1 yA1 ]
+cvx def /LPutPos { LPutLines } def /HPutPos { HPutLines } def /VPutPos {
+VPutLines } def } def
+/NCBar { GetEdgeA GetEdgeB GetArmA GetArmB /mtrx AngleA matrix rotate def
+xA2 yA2 mtrx itransform pop xB2 yB2 mtrx itransform pop sub dup 0 mtrx
+transform 3 -1 roll 0 gt { /yB2 exch yB2 add def /xB2 exch xB2 add def }
+{ /yA2 exch neg yA2 add def /xA2 exch neg xA2 add def } ifelse mark ArmB
+0 ne { xB1 yB1 } if xB2 yB2 xA2 yA2 ArmA 0 ne { xA1 yA1 } if tx@Dict
+begin false Line end /LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx
+def /LPutPos { LPutLines } def /HPutPos { HPutLines } def /VPutPos {
+VPutLines } def } def
+/NCDiag { GetEdgeA GetEdgeB GetArmA GetArmB mark ArmB 0 ne { xB1 yB1 } if
+xB2 yB2 xA2 yA2 ArmA 0 ne { xA1 yA1 } if tx@Dict begin false Line end
+/LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx def /LPutPos {
+LPutLines } def /HPutPos { HPutLines } def /VPutPos { VPutLines } def }
+def
+/NCDiagg { GetEdgeA GetArmA yB yA2 sub xB xA2 sub Atan 180 add /AngleB ED
+GetEdgeB mark xB1 yB1 xA2 yA2 ArmA 0 ne { xA1 yA1 } if tx@Dict begin
+false Line end /LPutVar [ xB1 yB1 xA2 yA2 xA1 yA1 ] cvx def /LPutPos {
+LPutLines } def /HPutPos { HPutLines } def /VPutPos { VPutLines } def }
+def
+/NCLoop { GetEdgeA GetEdgeB GetArmA GetArmB /mtrx AngleA matrix rotate
+def xA2 yA2 mtrx transform loopsize add /yA3 ED /xA3 ED /xB3 xB2 yB2
+mtrx transform pop def xB3 yA3 mtrx itransform /yB3 ED /xB3 ED xA3 yA3
+mtrx itransform /yA3 ED /xA3 ED mark ArmB 0 ne { xB1 yB1 } if xB2 yB2
+xB3 yB3 xA3 yA3 xA2 yA2 ArmA 0 ne { xA1 yA1 } if tx@Dict begin false
+Line end /LPutVar [ xB1 yB1 xB2 yB2 xB3 yB3 xA3 yA3 xA2 yA2 xA1 yA1 ]
+cvx def /LPutPos { LPutLines } def /HPutPos { HPutLines } def /VPutPos {
+VPutLines } def } def
+% DG/SR modification begin - May 9, 1997 - Patch 1
+%/NCCircle { 0 0 NodesepA nodeA \tx@GetEdge pop xA sub 2 div dup 2 exp r
+%r mul sub abs sqrt atan 2 mul /a ED r AngleA 90 add PtoC yA add exch xA add
+%exch 2 copy /LPutVar [ 4 2 roll r AngleA ] cvx def /LPutPos { LPutVar t 360
+%mul add dup 5 1 roll 90 sub \tx@PtoC 3 -1 roll add /Y ED add /X ED /NAngle ED
+/NCCircle { NodeSepA 0 NodeA 0 GetEdge pop 2 div dup 2 exp r
+r mul sub abs sqrt atan 2 mul /a ED r AngleA 90 add PtoC yA add exch xA add
+exch 2 copy /LPutVar [ 4 2 roll r AngleA ] cvx def /LPutPos { LPutVar t 360
+mul add dup 5 1 roll 90 sub PtoC 3 -1 roll add /Y ED add /X ED /NAngle ED
+% DG/SR modification end
+} def /HPutPos { LPutPos } def /VPutPos { LPutPos } def r AngleA 90 sub a add
+AngleA 270 add a sub tx@Dict begin /angleB ED /angleA ED /r ED /c 57.2957 r
+Div def /y ED /x ED } def
+/NCBox { /d ED /h ED /AngleB yB yA sub xB xA sub Atan def /AngleA AngleB
+180 add def GetEdgeA GetEdgeB /dx d AngleB sin mul def /dy d AngleB cos
+mul neg def /hx h AngleB sin mul neg def /hy h AngleB cos mul def
+/LPutVar [ xA1 hx add yA1 hy add xB1 hx add yB1 hy add xB1 dx add yB1 dy
+add xA1 dx add yA1 dy add ] cvx def /LPutPos { LPutLines } def /HPutPos
+{ xB yB xA yA LPutLine } def /VPutPos { HPutPos } def mark LPutVar
+tx@Dict begin false Polygon end } def
+/NCArcBox { /l ED neg /d ED /h ED /a ED /AngleA yB yA sub xB xA sub Atan
+def /AngleB AngleA 180 add def /tA AngleA a sub 90 add def /tB tA a 2
+mul add def /r xB xA sub tA cos tB cos sub Div dup 0 eq { pop 1 } if def
+/x0 xA r tA cos mul add def /y0 yA r tA sin mul add def /c 57.2958 r div
+def /AngleA AngleA a sub 180 add def /AngleB AngleB a add 180 add def
+GetEdgeA GetEdgeB /AngleA tA 180 add yA yA1 sub xA xA1 sub Pyth c mul
+sub def /AngleB tB 180 add yB yB1 sub xB xB1 sub Pyth c mul add def l 0
+eq { x0 y0 r h add AngleA AngleB arc x0 y0 r d add AngleB AngleA arcn }
+{ x0 y0 translate /tA AngleA l c mul add def /tB AngleB l c mul sub def
+0 0 r h add tA tB arc r h add AngleB PtoC r d add AngleB PtoC 2 copy 6 2
+roll l arcto 4 { pop } repeat r d add tB PtoC l arcto 4 { pop } repeat 0
+0 r d add tB tA arcn r d add AngleA PtoC r h add AngleA PtoC 2 copy 6 2
+roll l arcto 4 { pop } repeat r h add tA PtoC l arcto 4 { pop } repeat }
+ifelse closepath /LPutVar [ x0 y0 r AngleA AngleB h d ] cvx def /LPutPos
+{ LPutVar /d ED /h ED /AngleB ED /AngleA ED /r ED /y0 ED /x0 ED t 1 le {
+r h add AngleA 1 t sub mul AngleB t mul add dup 90 add /NAngle ED PtoC }
+{ t 2 lt { /NAngle AngleB 180 add def r 2 t sub h mul t 1 sub d mul add
+add AngleB PtoC } { t 3 lt { r d add AngleB 3 t sub mul AngleA 2 t sub
+mul add dup 90 sub /NAngle ED PtoC } { /NAngle AngleA 180 add def r 4 t
+sub d mul t 3 sub h mul add add AngleA PtoC } ifelse } ifelse } ifelse
+y0 add /Y ED x0 add /X ED } def /HPutPos { LPutPos } def /VPutPos {
+LPutPos } def } def
+/Tfan { /AngleA yB yA sub xB xA sub Atan def GetEdgeA w xA1 xB sub yA1 yB
+sub Pyth Pyth w Div CLW 2 div mul 2 div dup AngleA sin mul yA1 add /yA1
+ED AngleA cos mul xA1 add /xA1 ED /LPutVar [ xA1 yA1 m { xB w add yB xB
+w sub yB } { xB yB w sub xB yB w add } ifelse xA1 yA1 ] cvx def /LPutPos
+{ LPutLines } def /VPutPos@ { LPutVar flag { 8 4 roll pop pop pop pop }
+{ pop pop pop pop 4 2 roll } ifelse } def /VPutPos { VPutPos@ VPutLine }
+def /HPutPos { VPutPos@ HPutLine } def mark LPutVar tx@Dict begin
+/ArrowA { moveto } def /ArrowB { } def false Line closepath end } def
+/LPutCoor { NAngle tx@Dict begin /NAngle ED end gsave CM STV CP Y sub neg
+exch X sub neg exch moveto setmatrix CP grestore } def
+/LPut { tx@NodeDict /LPutPos known { LPutPos } { CP /Y ED /X ED /NAngle 0
+def } ifelse LPutCoor } def
+/HPutAdjust { Sin Cos mul 0 eq { 0 } { d Cos mul Sin div flag not { neg }
+if h Cos mul Sin div flag { neg } if 2 copy gt { pop } { exch pop }
+ifelse } ifelse s add flag { r add neg } { l add } ifelse X add /X ED }
+def
+/VPutAdjust { Sin Cos mul 0 eq { 0 } { l Sin mul Cos div flag { neg } if
+r Sin mul Cos div flag not { neg } if 2 copy gt { pop } { exch pop }
+ifelse } ifelse s add flag { d add } { h add neg } ifelse Y add /Y ED }
+def
+end
+% END pst-node.pro