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+%% $Id: pst-feyn.pro 826 2018-09-27 09:21:43Z herbert $
+%%
+%% This is file `pst-feyn.pro',
+%% It is based on the old axodraw package from Jos Vermaseren
+%%
+%% IMPORTANT NOTICE:
+%%
+%% Package `pst-feyn.tex'
+%%
+%% Herbert Voss <hvoss _at_ tug.org>
+%%
+%% This program can be redistributed and/or modified under the terms
+%% of the LaTeX Project Public License Distributed from CTAN archives
+%% in directory macros/latex/base/lppl.txt.
+%%
+%% DESCRIPTION:
+%% `pst-feyn' is a PSTricks package to draw 3d curves and graphical objects
+%%
+%%
+%% version 0.01 / 2018-09-26 Herbert Voss <hvoss _at_ tug.org>
+%%
+%
+/tx@FeynDict 100 dict def
+tx@FeynDict begin
+%
+/ED { exch def } def
+/SLW { setlinewidth } def
+/p1 {/y1 ED /x1 ED } def
+/p2 {/y2 ED /x2 ED } def
+/abox{ newpath x1 y1 moveto x1 y2 lineto x2 y2 lineto x2 y1 lineto closepath } def
+%
+%
+/arrowdown{
+ /nwidth { CLW 1 add } def
+ newpath
+ 0 nwidth 1.5 mul neg moveto % Arrow is a triangle
+ nwidth 1.2 mul nwidth 3 mul rlineto
+ nwidth 2.4 mul neg 0 rlineto
+ nwidth 1.2 mul nwidth 3 mul neg rlineto
+ closepath fill % and it is filled
+} def
+%
+/arrowup{
+ /nwidth { CLW 1 add } def
+ newpath
+ 0 nwidth 1.5 mul moveto % Arrow is a triangle
+ nwidth 1.2 mul nwidth 3 mul neg rlineto
+ nwidth 2.4 mul neg 0 rlineto
+ nwidth 1.2 mul nwidth 3 mul rlineto
+ closepath fill % and it is filled
+} def
+%
+/arrowright{
+ /nwidth { CLW 1 add } def
+ newpath
+ nwidth 1.5 mul 0 moveto % Arrow is a triangle
+ nwidth 3 mul neg nwidth 1.2 mul rlineto
+ 0 nwidth 2.4 mul neg rlineto
+ nwidth 3 mul nwidth 1.2 mul rlineto
+ closepath fill % and it is filled
+} def
+%
+/gluon{
+ %dup scale /width ED width SLW
+ /num ED /ampi ED /y2 ED /x2 ED /y1 ED /x1 ED
+
+ /dy y2 y1 sub def /dx x2 x1 sub def
+%
+% We have a 'head' and a 'tail' and inbetween the 'body'
+% The head + tail is 2 windings. The body is num-1 windings.
+%
+ /dr dx dx mul dy dy mul add sqrt def
+%
+ x1 y1 translate dy dx atan rotate
+%
+ /num num 0.5 sub round def
+ /inc dr num 2 mul 2 add div def % increment per half winding
+ /amp8 ampi 0.9 mul def
+ amp8 0 lt {/amp8 amp8 neg def} if
+%
+ /x1 inc 2 mul def
+%
+ newpath
+ 0 0 moveto
+ inc 0.1 mul ampi 0.5 mul inc 0.5 mul ampi inc 1.4 mul ampi curveto
+ x1 amp8 add dup ampi exch ampi neg dup x1 exch curveto
+%
+ 2 1 num {
+ pop
+ x1 amp8 sub dup ampi neg exch ampi dup x1 inc add exch curveto
+ /x1 x1 inc dup add add def
+ x1 amp8 add dup ampi exch ampi neg dup x1 exch curveto
+ } for
+%
+ x1 amp8 sub dup ampi neg exch ampi dup x1 inc 0.6 mul add exch curveto
+ x1 inc 1.5 mul add ampi dr inc 0.1 mul sub ampi 0.5 mul dr 0 curveto
+% stroke
+%
+} def
+%
+/photon{
+%
+% Draws a photon from x1,y1 to x2,y2 with amplitude A and n wiggles
+%
+% gsave dup scale /width ED width SLW
+ /num ED /ampi ED p2 p1
+ /dy y2 y1 sub def /dx x2 x1 sub def
+ /dr dx dx mul dy dy mul add sqrt def
+%
+ x1 y1 translate
+ dy dx atan rotate
+ /num num 2 mul 0.5 sub round def
+ /x2 dr num div def
+ /pi 3.141592 def
+ /sign 1 def
+ 1 1 num {
+ pop
+ newpath
+ 0 0 moveto
+ 4 3 div x2 mul pi div dup neg x2 add
+ 4 3 div ampi sign mul mul dup 3 1 roll
+ x2 0 curveto
+ stroke
+ /sign sign neg def
+ x2 0 translate
+ } for
+%
+% grestore
+} def
+%
+/zigzag{
+%
+% Draws a zigzag line from x1,y1 to x2,y2 with amplitude A and n zigzags
+%
+% gsave dup scale /width ED width SLW
+ /num ED /ampi ED p2 p1
+ /dy y2 y1 sub def /dx x2 x1 sub def
+ /dr dx dx mul dy dy mul add sqrt def
+%
+ x1 y1 translate
+ dy dx atan rotate
+ /num num 2 mul 0.5 sub round def
+ /x2 dr num div def
+ /pi 3.141592 def
+ /sign 1 def
+ 1 1 num {
+ pop
+ newpath
+ 0 0 moveto
+ x2 2 div ampi sign mul lineto
+ x2 0 lineto
+ stroke
+ /sign sign neg def
+ x2 0 translate
+ } for
+%
+% grestore
+} def
+%
+/photonarc{
+%
+% Draws a photonarc center at x1,y1, radius arcstart,arcend, amplitude
+% number of wiggles, width, scale
+%
+% gsave dup scale /width ED width SLW
+ /num ED /ampli ED /arcend ED /arcstart ED /radius ED
+%
+ translate % The center of the circle is now the origin
+%
+ /num num 2 mul round def % number of half wiggles
+ arcend arcstart lt { /arcend arcend 360 add def } if
+ /arcend arcend arcstart sub num div def % phi
+ arcstart rotate
+ /arcstart arcend 2 div def % phi/2
+ /cp arcend cos def
+ /sp arcend sin def
+ /cp2 arcstart cos def
+ /sp2 arcstart sin def
+%
+ newpath
+ 1 1 num {
+ pop
+ radius 0 moveto
+ /beta radius arcend mul 180 ampli mul div def
+ /tt sp cp beta mul sub cp sp beta mul add div def
+ /amp1 radius ampli add 8 mul beta cp2 mul sp2 sub mul beta 4 cp add mul
+ tt cp mul 3 mul sp 4 mul sub add radius mul sub
+ beta tt sub 3 mul div def % this is x2
+ radius ampli add 8 mul cp2 mul 1 cp add radius mul sub 3 div amp1 sub
+ dup radius sub beta mul % x1,y1
+ amp1 dup radius cp mul sub tt mul radius sp mul add % x2,y2
+ radius cp mul radius sp mul % x3 y3
+ curveto
+ /ampli ampli neg def
+ arcend rotate
+ } for
+% stroke
+%
+% grestore
+} def
+%
+/gluearc{
+%
+% Draws a gluon on an arcsegment
+% radius,stat_angle,end_angle,gluon_radius,num
+% in which num is the number of windings of the gluon.
+% Method:
+% 1: compute length of arc.
+% 2: generate gluon in x and y as if the arc is a straight line
+% 3: x' = (radius+y)*cos(x*const)
+% y' = (radius+y)*sin(x*const)
+%
+ gsave %dup scale /width ED width SLW
+ /num ED
+ /ampi ED
+ /arcend ED
+ /arcstart ED
+ /radius ED
+%
+ arcstart rotate % segment starts at zero
+ /darc arcend arcstart sub def % argsegment
+ /dr darc 180 div 3.141592 mul radius mul def % length of segment.
+ /const darc dr div def % conversion constant
+%
+ /num num 0.5 sub round def
+ /inc dr num 2 mul 2 add div def % increment per half winding
+%
+ /amp8 ampi 0.9 mul def
+ /amp1 radius ampi add def
+ /amp2 radius ampi sub def
+ /amp3 radius ampi 2 div add def
+ /amp4 amp1 inc amp8 add const mul cos div def
+ /amp5 amp2 amp8 const mul cos div def
+ /amp6 amp1 inc 0.6 mul amp8 add const mul cos div def
+ /amp7 amp1 inc 0.9 mul const mul cos div def
+ amp8 0 lt {/amp8 amp8 neg def} if
+%
+ /x1 inc 2 mul def
+%
+ newpath
+ radius 0 moveto
+%
+ inc 0.1 mul const mul dup cos amp3 mul exch sin amp3 mul
+ inc 0.5 mul const mul dup cos amp7 mul exch sin amp7 mul
+ inc 1.4 mul const mul dup cos amp1 mul exch sin amp1 mul
+ curveto
+ x1 amp8 add const mul dup cos amp6 mul exch sin amp6 mul
+ x1 amp8 add const mul dup cos amp5 mul exch sin amp5 mul
+ x1 const mul dup cos amp2 mul exch sin amp2 mul
+ curveto
+%
+ 2 1 num {
+ pop
+ x1 amp8 sub const mul dup cos amp5 mul exch sin amp5 mul
+ x1 amp8 sub const mul dup cos amp4 mul exch sin amp4 mul
+ x1 inc add const mul dup cos amp1 mul exch sin amp1 mul
+ curveto
+ /x1 x1 inc dup add add def
+ x1 amp8 add const mul dup cos amp4 mul exch sin amp4 mul
+ x1 amp8 add const mul dup cos amp5 mul exch sin amp5 mul
+ x1 const mul dup cos amp2 mul exch sin amp2 mul
+ curveto
+ } for
+%
+ x1 amp8 sub const mul dup cos amp5 mul exch sin amp5 mul
+ x1 amp8 sub const mul dup cos amp6 mul exch sin amp6 mul
+ x1 inc 0.6 mul add const mul dup cos amp1 mul exch sin amp1 mul
+ curveto
+ x1 inc 1.5 mul add const mul dup cos amp7 mul exch sin amp7 mul
+ dr inc 0.1 mul sub const mul dup cos amp3 mul exch sin amp3 mul
+ dr const mul dup cos radius mul exch sin radius mul
+ curveto
+ stroke
+%
+ grestore
+} def
+%
+/arrowarc{
+%
+% Draws an anticlockwise arc with an arrow in the middle
+% The arc is x_center, y_center, radius, start_angle, end_angle
+%
+% gsave dup scale /width ED width SLW
+ /arcend ED /arcstart ED /radius ED
+%
+ translate % x and y are still on stack
+ newpath 0 0 radius arcstart arcend arc stroke
+ arcstart arcend gt {
+ /arcend arcend 360 add def } if
+ arcstart arcend add 2 div rotate % middle of arc
+ radius 0 translate % move to it
+ arrowup
+% grestore
+} def
+%
+/longarrowarc{
+%
+% Draws an anticlockwise arc with an arrow at the end
+% The arc is x_center, y_center, radius, start_angle, end_angle
+%
+% gsave dup scale /width ED width SLW
+ /arcend ED /arcstart ED /radius ED
+%
+ translate % x and y are still on stack
+ arcstart arcend gt {
+ /arcend arcend 360 add def } if
+ /arcmid 540 CLW 1 add mul 3.14159 div radius div def
+ % discount for arrow
+% newpath 0 0 radius arcstart arcend arcmid sub arc stroke
+ arcend arcmid 2 div sub rotate % middle of arrow
+ radius 0 translate % move to it
+ arrowup
+% grestore
+} def
+%
+/dasharrowarc{
+%
+% Draws a dashed anticlockwise arc with an arrow in the middle
+% The arc is x_center, y_center, radius, start_angle, end_angle dsize
+%
+ gsave dup scale /width ED width SLW /dsize ED /arcend1 ED /arcstart1 ED /radius ED
+%
+ translate % x and y are still on stack
+%
+ arcend1 arcstart1 lt { /arcend1 arcend1 360 add def } if
+ /arcmid1 arcend1 arcstart1 add 2 div def
+%
+ 0 0 radius arcstart1 arcmid1 dsize width 1 dashcarc
+ 0 0 radius arcmid1 arcend1 dsize width 1 dashcarc
+ arcmid1 rotate
+ radius 0 translate
+ arrowup
+ grestore
+} def
+%
+/arrowarcn{
+%
+% Draws a clockwise arc with an arrow in the middle
+% The arc is x_center, y_center, radius, start_angle, end_angle
+%
+% gsave dup scale /width ED width SLW
+ /arcend ED /arcstart ED /radius ED
+%
+ translate % x and y are still on stack
+ newpath 0 0 radius arcstart arcend arcn stroke
+ arcstart arcend lt {
+ /arcstart arcstart 360 add def } if
+ arcstart arcend add 2 div rotate % middle of arc
+ radius 0 translate % move to it
+ arrowdown
+% grestore
+} def
+%
+/longarrowarcn{
+%
+% Draws a clockwise arc with an arrow in the end
+% The arc is x_center, y_center, radius, start_angle, end_angle
+%
+ gsave dup scale /width ED width SLW /arcend ED /arcstart ED /radius ED
+%
+ translate % x and y are still on stack
+ arcstart arcend lt {
+ /arcstart arcstart 360 add def } if
+ /arcmid 540 width 1 add mul 3.14159 div radius div def
+ % correction for arrow
+ newpath 0 0 radius arcstart arcend arcmid add arcn stroke
+ arcend arcmid 2 div add rotate % middle of arrow
+ radius 0 translate % move to it
+ arrowdown
+ grestore
+} def
+%
+/dasharrowarcn{
+%
+% Draws a dashed clockwise arc with an arrow in the middle
+% The arc is x_center, y_center, radius, start_angle, end_angle
+%
+ gsave dup scale /width ED width SLW /dsize ED /arcend1 ED /arcstart1 ED /radius ED
+%
+ translate % x and y are still on stack
+ arcstart1 arcend1 lt {
+ /arcstart1 arcstart1 360 add def } if
+ /arcmid1 arcstart1 arcend1 add 2 div def
+ 0 0 radius arcmid1 arcstart1 dsize width 1 dashcarc
+ 0 0 radius arcend1 arcmid1 dsize width 1 dashcarc
+ arcmid1 rotate
+ radius 0 translate
+ arrowdown
+ grestore
+} def
+%
+/arrowline{
+%
+% Draws a straight line with an arrow in the middle
+% x1,y1,x2,y2
+%
+ %gsave dup scale /width ED width SLW
+ p2 p1
+ /dx x2 x1 sub def /dy y2 y1 sub def
+ /dr dx dx mul dy dy mul add sqrt def
+%
+ x1 y1 translate
+% newpath
+% 0 0 moveto
+% dx dy rlineto
+% stroke
+ dy dx atan rotate
+ dr 2.0 div 0 translate
+ arrowright
+% grestore
+} def
+%
+/longarrow{
+%
+% Draws a straight line with an arrow at the end
+% x1,y1,x2,y2
+%
+ gsave dup scale /width ED width SLW p2 p1
+ /dx x2 x1 sub def /dy y2 y1 sub def
+ /dr dx dx mul dy dy mul add sqrt def
+%
+ x1 y1 translate
+ dy dx atan rotate
+ newpath
+ 0 0 moveto
+ dr width 3 mul sub 0 rlineto
+ stroke
+ dr width 1.5 mul sub 0 translate
+ arrowright
+ grestore
+} def
+%
+/dasharrowline{
+%
+% Draws a straight dashed line with an arrow in the middle
+% x1,y1,x2,y2
+%
+% The pattern is ideally [dsize dsize] 0 setdash
+% but we want to have (2*n+1)/2 patterns, so dsize must be rounded
+% Actually we want the center to be black too so that the arrow
+% fits in nice. This means that n must be odd. So
+% r = dsize*(4*m+3)
+%
+ gsave dup scale /width ED width SLW /dsize ED p2 p1
+ /dx x2 x1 sub def /dy y2 y1 sub def
+ /dr dx dx mul dy dy mul add sqrt 2 div def
+%
+ x1 y1 translate
+ dy dx atan rotate
+%
+ 0 0 dr 0 dsize width 1 dashline
+ dr 0 translate
+ 0 0 dr 0 dsize width 1 dashline
+ arrowright
+ grestore
+} def
+%
+/carc{
+%
+% Draws an anti-clockwise arc segment:
+% x_center, y_center, radius, start_angle, end_angle
+%
+ %dup scale /width ED width SLW
+ /arcend ED /arcstart ED /radius ED
+%
+ translate % x and y are still on stack
+ newpath 0 0 radius arcstart arcend arc
+% stroke
+% grestore
+} def
+%
+/dashcarc{
+%
+% Draws an anti-clockwise arc segment:
+% x_center, y_center, radius, start_angle, end_angle, dsize
+%
+ gsave dup scale /width ED width SLW /dsize ED /arcend ED /arcstart ED /radius ED
+%
+ translate % x and y are still on stack
+%
+% Compute the length of the line
+%
+ /dr arcend arcstart sub dup 0 lt { 360 add } if
+ 3.14159 mul 180 div radius mul def
+ /dsize dr dsize 2 mul div 0.5 sub round dup 0 le { pop 0 } if 2 mul 1 add
+ dr exch div def
+ [dsize dsize] 0 setdash
+%
+ newpath 0 0 radius arcstart arcend arc stroke
+ grestore
+} def
+%
+/bcirc{
+%
+% Draws an anti-clockwise blanked circle:
+% x_center, y_center, radius
+%
+ gsave dup scale /width ED width SLW /radius ED
+%
+ translate % x and y are still on stack
+%
+ gsave
+ 1 setgray
+ newpath 0 0 radius 0 360 arc fill
+ grestore
+ newpath 0 0 radius 0 360 arc stroke
+ grestore
+} def
+%
+/gcirc{
+%
+% Draws an anti-clockwise blanked gray circle:
+% x_center, y_center, radius, grayscale
+%
+ gsave dup scale /width ED width SLW /gcolor ED /radius ED
+%
+ translate % x and y are still on stack
+%
+ 1 setgray
+ newpath 0 0 radius 0 360 arc fill
+ gcolor setgray
+ newpath 0 0 radius 0 360 arc fill
+ 0 setgray
+ newpath 0 0 radius 0 360 arc stroke
+ grestore
+} def
+%
+/ccirc1{
+%
+% Draws an anti-clockwise circle :
+% x_center, y_center, radius
+% Part 1: the contents in background color
+%
+ gsave dup scale /width ED width SLW /radius ED
+%
+ translate % x and y are still on stack
+%
+ newpath 0 0 radius 0 360 arc fill
+ grestore
+} def
+%
+/ccirc2{
+%
+% Draws an anti-clockwise circle :
+% x_center, y_center, radius
+% Part 1: the contents in background color
+%
+ gsave dup scale /width ED width SLW /radius ED
+%
+ translate % x and y are still on stack
+%
+ newpath 0 0 radius 0 360 arc stroke
+ grestore
+} def
+%
+%
+/pathlength{
+ flattenpath
+ /dist 0 def
+ { /yfirst ED /xfirst ED /ymoveto yfirst def /xmoveto xfirst def }
+ { /ynext ED /xnext ED /dist dist ynext yfirst sub dup mul
+ xnext xfirst sub dup mul add sqrt add def
+ /yfirst ynext def /xfirst xnext def }
+ {}
+ {/ynext ymoveto def /xnext xmoveto def
+ /dist ynext yfirst sub dup mul
+ xnext xfirst sub dup mul add sqrt add def
+ /yfirst ynext def /xfirst xnext def }
+ pathforall
+ dist
+} def
+%
+/centerdash{
+ /pathlen pathlength def
+ /jj pathlen dsize div 2.0 div cvi def
+ /ddsize pathlen jj 2.0 mul div def
+ [ddsize] ddsize 2 div setdash
+} def
+%
+/logaxis{
+%
+% Draws an axis from x1,y1 to x2,y2 with nl log divisions
+% size of the hashes hs, offset F
+% and width W. The stack looks like
+% x1,y1,x2,y2,nl,hs,F,W,scale
+% After the rotation the hash marks are on top if nl is positive and
+% on the bottom if nl is negative
+%
+% gsave dup scale /width ED width SLW
+ /offset ED /hashsize ED /nlogs ED p2 p1
+ x1 y1 translate
+ /y2 y2 y1 sub def /x2 x2 x1 sub def
+ y2 x2 atan rotate
+ /rr x2 dup mul y2 dup mul add sqrt def
+ offset 0 ne { /offset offset ln 10 ln div def } if
+ /offset offset dup cvi sub def
+ newpath
+ 0 0 moveto
+ rr 0 lineto
+ /lsize rr nlogs div def
+ 0 1 nlogs { /x2 ED
+ x2 offset ge {
+ /y2 x2 offset sub lsize mul def
+ y2 rr le {
+ y2 0 moveto
+ y2 hashsize 1.2 mul lineto
+ } if
+ } if
+ } for
+ stroke
+ CLW 0.6 mul setlinewidth
+ newpath
+ 0 1 nlogs { /x2 ED
+ 2 1 9 {
+ ln 10 ln div x2 add
+ /xx2 ED
+ xx2 offset ge {
+ /y2 xx2 offset sub lsize mul def
+ y2 rr le {
+ y2 0 moveto
+ y2 hashsize 0.8 mul lineto
+ } if
+ } if
+ } for
+ } for
+% stroke
+% grestore
+} def
+%
+/linaxis{
+%
+% x1,y1,x2,y2,num_decs,per_dec,hashsize,offset,width,scale
+%
+ %gsave dup scale /width ED width SLW
+ /offset ED /hashsize ED /perdec ED /numdec ED p2 p1
+ x1 y1 translate
+ /y2 y2 y1 sub def /x2 x2 x1 sub def
+ y2 x2 atan rotate
+ /rr x2 dup mul y2 dup mul add sqrt def
+ newpath
+ 0 0 moveto
+ rr 0 lineto
+ /x1 rr numdec perdec mul div def
+ /y1 rr numdec div def
+ /offset offset x1 mul def
+ 0 1 numdec { y1 mul offset sub
+ dup 0 ge {
+ dup rr le {
+ dup 0 moveto
+ hashsize 1.2 mul lineto
+ } if
+ } if
+ } for
+ stroke
+ CLW 0.6 mul setlinewidth
+ newpath
+ offset cvi 1 numdec perdec mul offset add {
+ x1 mul offset sub
+ dup 0 ge {
+ dup rr le {
+ dup 0 moveto
+ hashsize 0.8 mul lineto
+ } if
+ } if
+ } for
+ stroke
+ %grestore
+} def
+%
+end % tx@FeynDict
+% \ No newline at end of file