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% Feynman Diagrams drawn by MadGraph
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% A program by David J. Summers to draw
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% Feynman diagrams. (c) 1992
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% Version 2.7 (c) 1993
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% Comments and questions to
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% D.J.Summers@uk.ac.durham
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/Frmod {dup 360 div floor 360 mul sub} def
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/Fsign {0 ge {1} {-1} ifelse} def
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{/Fby exch def /Fbx exch def /Fdist Fbx Fbx
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mul Fby Fby mul add sqrt def /Fxl Fbx Fdist
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div Fr mul def /Fyl Fby Fdist div Fr mul def
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/Fxt Fby Fdist div Fr mul def /Fyt Fbx neg
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Fdist div Fr mul def } def
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{/Fshape exch def /Ftype exch def /Fy2 exch
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def /Fx2 exch def /Fy1 exch def /Fx1 exch def
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Fx2 Fx1 sub Fy2 Fy1 sub Fbasis /Fttype 1
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Ftype 2 mod 2 mul abs sub def Ftype 0 ge
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{/Fddist Fdist Fr div 2 div def /Fn Fddist round
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def Ftype 1 gt {/Fn Fn Fddist Fn sub Fsign
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add def} if} {/Fn Fdist Fr div 2 div round 2
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mul def} ifelse Fx1 Fy1 moveto 0 1 Fnopoints
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Fn mul {/Fi exch def Fshape lineto } for
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{/Fshape exch def /Fe exch def /Ftype exch
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def /Fy2 exch def /Fx2 exch def /Fy1 exch def
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/Fx1 exch def /Flam 1 Fe Fe mul sub 2 div Fe
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div def /Fxc Fx1 Fx2 Flam Fy2 Fy1 sub mul add
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add 2 div def /Fyc Fy1 Fy2 Flam Fx1 Fx2 sub
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mul add add 2 div def /Frr Fx1 Fxc sub dup
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mul Fy1 Fyc sub dup mul add sqrt def /Fth1
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Fy1 Fyc sub Fx1 Fxc sub atan def /Fth2 Fy2
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Fyc sub Fx2 Fxc sub atan def Fe 0 lt Fth2
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Fth1 lt and {/Fth1 Fth1 360 sub def} if Fe 0
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gt Fth2 Fth1 gt and {/Fth2 Fth2 360 sub def}
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if /Fdth Fth2 Fth1 sub Fsign def /Fttype 1
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Ftype 2 mod abs 2 mul sub def Ftype 0 ge
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{/Fddist Fth2 Fth1 sub abs 180 div pi mul Frr
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mul Fr div def /Fn Fddist round def Ftype 1
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gt {/Fn Fn Fddist Fn sub Fsign add def} if}
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{/Fn Fth2 Fth1 sub abs 180 div pi mul Frr mul
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Fr div 2 div round 2 mul def} ifelse Fx1 Fy1
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moveto 0 1 Fnopoints Fn mul {/Fi exch def
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/Fth Fth1 Fth2 Fth1 sub Fi mul Fnopoints div
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Fn div add Frmod def Fth sin neg Fdth mul Fth
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cos Fdth mul Fbasis Fshape lineto } for
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{ moveto Fxt Fxl sub Fyt Fyl sub
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rlineto Fxl 2 mul Fxt sub Fyl 2 mul Fyt sub
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rlineto Fxl 2 mul Fxt add neg Fyl 2 mul Fyt
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add neg rlineto fill } def
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{{ Fx1 Fx2 Fx1 sub Fi mul Fnopoints div Fn
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div Fxt Fi 360 mul Fnopoints div Frmod sin
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mul Fttype mul 2 div add add Fy1 Fy2 Fy1 sub
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Fi mul Fnopoints div Fn div Fyt Fi 360 mul
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Fnopoints div Frmod sin mul Fttype mul 2 div
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add add } Fstraight } def
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{{ Fx1 Fx2 Fx1 sub Fi mul Fnopoints div Fn
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div Fxt Fi 180 mul Fnopoints div Frmod sin
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mul Fttype mul 1 div add add Fy1 Fy2 Fy1 sub
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Fi mul Fnopoints div Fn div Fyt Fi 180 mul
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Fnopoints div Frmod sin mul Fttype mul 1 div
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add add } Fstraight } def
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{{ Fx1 Fx2 Fx1 sub Fi mul Fnopoints div Fn
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div Fxt Fi 360 mul Fnopoints div Frmod sin
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mul Fttype mul 2 div add add Fy1 Fy2 Fy1 sub
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Fi mul Fnopoints div Fn div Fyt Fi 360 mul
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Fnopoints div Frmod sin mul Fttype mul 2 div
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add add } Fstraight Fx1
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Fx2 add 2 div Fy1 Fy2 add 2 div Farrow} def
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{exch dup 3 1 roll 0 ge {{ Fxc Fth cos Frr
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mul Fxt Fi 180 mul Fnopoints div Frmod sin
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mul Fttype mul 2 div add add Fyc Fth sin Frr
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mul Fyt Fi 180 mul Fnopoints div Frmod sin
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mul Fttype mul 2 div add add }} {{ Fxc Fth
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cos Frr mul Fxt 1 Fi 180 mul Fnopoints div
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Frmod cos sub mul Fttype mul 2 div add add
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Fyc Fth sin Frr mul Fyt 1 Fi 180 mul
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Fnopoints div Frmod cos sub mul Fttype mul 2
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div add add }} ifelse Floop } def
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{2 sub { Fx1 Fx2 Fx1 sub Fi mul Fnopoints div
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Fn div Fxt 1 Fi 180 mul Fnopoints div cos sub
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mul Fttype mul Fxl Fi 180 mul Fnopoints div
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sin mul add add add Fy1 Fy2 Fy1 sub Fi mul
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Fnopoints div Fn div Fyt 1 Fi 180 mul
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Fnopoints div cos sub mul Fttype mul Fyl Fi
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180 mul Fnopoints div sin mul add add add }
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{2 sub { Fx1 Fx2 Fx1 sub Fi mul Fnopoints div
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Fn div Fxt 0 Fi 120 mul Fnopoints div cos sub
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mul Fttype mul Fxl Fi 120 mul Fnopoints div
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sin mul add add add Fy1 Fy2 Fy1 sub Fi mul
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Fnopoints div Fn div Fyt 0 Fi 120 mul
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Fnopoints div cos sub mul Fttype mul Fyl Fi
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120 mul Fnopoints div sin mul add add add }
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{exch 2 sub exch { Fxc Fth cos Frr mul Fxt 1
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Fi 180 mul Fnopoints div cos sub mul Fttype
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mul Fxl Fi 180 mul Fnopoints div sin mul add
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add add Fyc Fth sin Frr mul Fyt 1 Fi 180 mul
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Fnopoints div cos sub mul Fttype mul Fyl Fi
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180 mul Fnopoints div sin mul add add add }
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{/Fy2 exch def /Fx2 exch def /Fy1 exch def
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/Fx1 exch def newpath Fx2 Fx1 sub Fy2 Fy1 sub
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Fbasis Fx1 Fy1 moveto Fx2 Fy2 lineto stroke Fx1
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Fx2 add 2 div Fy1 Fy2 add 2 div Farrow } def
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{newpath moveto lineto stroke} def
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{/Fe exch def /Fy2 exch def /Fx2 exch def
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/Fy1 exch def /Fx1 exch def newpath /Flam 1 Fe
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Fe mul sub 2 div Fe div def /Fxc Fx1 Fx2 Flam Fy2
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Fy1 sub mul add add 2 div def /Fyc Fy1 Fy2
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Flam Fx1 Fx2 sub mul add add 2 div def /Frr
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Fx1 Fxc sub dup mul Fy1 Fyc sub dup mul add
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sqrt def /Fth1 Fy1 Fyc sub Fx1 Fxc sub atan
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def /Fth2 Fy2 Fyc sub Fx2 Fxc sub atan def Fe
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0 lt Fth2 Fth1 lt and {/Fth1 Fth1 360 sub
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def} if Fe 0 gt Fth2 Fth1 gt and {/Fth2 Fth2
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360 sub def} if /Fthc Fth1 Fth2 add 2 div def
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Fxc Fyc Frr Fth1 Fth2 Fe 0 gt {arcn} {arc}
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ifelse stroke Fthc sin Fe 0 lt {neg} if Fthc
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cos Fe 0 gt {neg} if Fbasis Fxc Fthc cos Frr
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mul add Fyc Fthc sin Frr mul add Farrow } def
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{/Fe exch def /Fy2 exch def /Fx2 exch def
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/Fy1 exch def /Fx1 exch def newpath /Flam 1 Fe
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Fe mul sub 2 div Fe div def /Fxc Fx1 Fx2 Flam Fy2
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Fy1 sub mul add add 2 div def /Fyc Fy1 Fy2
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Flam Fx1 Fx2 sub mul add add 2 div def /Frr
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Fx1 Fxc sub dup mul Fy1 Fyc sub dup mul add
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sqrt def /Fth1 Fy1 Fyc sub Fx1 Fxc sub atan
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def /Fth2 Fy2 Fyc sub Fx2 Fxc sub atan def Fe
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0 lt Fth2 Fth1 lt and {/Fth1 Fth1 360 sub
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def} if Fe 0 gt Fth2 Fth1 gt and {/Fth2 Fth2
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360 sub def} if /Fthc Fth1 Fth2 add 2 div def
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Fxc Fyc Frr Fth1 Fth2 Fe 0 gt {arcn} {arc}
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{/Fshade exch def newpath Fr mul 0 360 arc gsave
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1 Fshade sub setgray fill grestore stroke} def
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{/Fy2 exch def /Fx2 exch def /Fy1 exch def
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/Fx1 exch def gsave Fx1 Fx2 sub dup mul
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Fy1 Fy2 sub dup mul add sqrt dup Fr div
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2 div round 2 mul 1 add div /dashln exch def
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[dashln dashln] 0 setdash Fx1 Fy1 moveto
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Fx2 Fy2 lineto stroke grestore} def
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{/Fy2 exch def /Fx2 exch def /Fy1 exch def
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/Fx1 exch def gsave Fx1 Fx2 sub dup mul
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Fy1 Fy2 sub dup mul add sqrt dup Fr div
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2 div round 2 mul 1 add div /dashln exch def
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[dashln dashln] 0 setdash Fx1 Fy1 moveto
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Fx2 Fy2 lineto stroke grestore Fx1 Fx2 add 2 div
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Fy1 Fy2 add 2 div Farrow} def
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/Fy1 exch def /Fx1 exch def /Flam gsave 1 Fe
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Fe mul sub 2 div Fe div def /Fxc Fx1 Fx2 Flam
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Fy2 Fy1 sub mul add add 2 div def /Fyc Fy1
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Fy2 Flam Fx1 Fx2 sub mul add add 2 div def
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/Frr Fx1 Fxc sub dup mul Fy1 Fyc sub dup mul
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add sqrt def /Fth1 Fy1 Fyc sub Fx1 Fxc sub
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atan def /Fth2 Fy2 Fyc sub Fx2 Fxc sub atan
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def Fe 0 lt Fth2 Fth1 lt and {/Fth1 Fth1 360
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sub def} if Fe 0 gt Fth2 Fth1 gt and {/Fth2
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Fth2 360 sub def} if /Fthc Fth1 Fth2 add 2
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div def Fxc Fyc Frr Fth1 Fth2 Fe 0 gt {arcn}
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{arc} ifelse Fth2 Fth1 sub abs 180 div pi mul
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Frr mul dup Fr div 2 div round 2 mul 1 add
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div /dashln exch def [dashln dashln] 0
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setdash stroke grestore} def
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{/Fy2 exch def /Fx2 exch def /Fy1 exch def
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/Fx1 exch def Fx2 Fx1 sub Fy2 Fy1 sub Fbasis
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/Fn Fx1 Fx2 sub dup mul Fy1 Fy2 sub dup mul
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add sqrt Fr div round def 0 1 Fn {/Fi exch
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def Fx2 Fx1 sub Fi Fn div mul Fx1 add Fy2 Fy1
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sub Fi Fn div mul Fy1 add Fr 10 div 0 360 arc
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fill} for Fx1 Fx2 add 2 div Fy1 Fy2 add 2 div
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{/Fe exch def /Fy2 exch def /Fx2 exch def
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/Fy1 exch def /Fx1 exch def /Flam 1 Fe Fe mul
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sub 2 div Fe div def /Fxc Fx1 Fx2 Flam Fy2
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Fy1 sub mul add add 2 div def /Fyc Fy1 Fy2
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Flam Fx1 Fx2 sub mul add add 2 div def /Frr
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Fx1 Fxc sub dup mul Fy1 Fyc sub dup mul add
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sqrt def /Fth1 Fy1 Fyc sub Fx1 Fxc sub atan
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def /Fth2 Fy2 Fyc sub Fx2 Fxc sub atan def Fe
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0 lt Fth2 Fth1 lt and {/Fth1 Fth1 360 sub
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def} if Fe 0 gt Fth2 Fth1 gt and {/Fth2 Fth2
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360 sub def} if /Fthc Fth1 Fth2 add 2 div def
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/Fn Fth2 Fth1 sub abs 180 div pi mul Frr mul
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Fr div round def 0 1 Fn {/Fi exch def Fth2
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Fth1 sub Fi Fn div mul Fth1 add dup cos Frr
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mul Fxc add exch sin Frr mul Fyc add Fr 10
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div 0 360 arc fill} for Fthc sin Fe 0 lt
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{neg} if Fthc cos Fe 0 gt {neg} if Fbasis Fxc
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Fthc cos Frr mul add Fyc Fthc sin Frr mul add
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{/Fy2 exch def /Fx2 exch def /Fy1 exch def
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/Fx1 exch def Fx2 Fx1 sub Fy2 Fy1 sub Fbasis
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Fx1 Fxt 2 div add Fy1 Fyt 2 div add moveto
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Fx2 Fxt 2 div add Fy2 Fyt 2 div add lineto
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Fx1 Fxt 2 div sub Fy1 Fyt 2 div sub moveto
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Fx2 Fxt 2 div sub Fy2 Fyt 2 div sub lineto
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Fx1 Fx2 add 2 div Fxt Fxl sub add Fy1 Fy2 add
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2 div Fyt Fyl sub add moveto Fx1 Fx2 add Fxl
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add 2 div Fy1 Fy2 add Fyl add 2 div lineto
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Fx1 Fx2 add 2 div Fxt Fxl add sub Fy1 Fy2 add
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2 div Fyt Fyl add sub lineto stroke} def
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scalefont setfont} def
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{exch 0 moveto gsave dup true charpath
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0 halfdist rlineto }def
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