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%==============================axodraw.sty===========================%
%
% Style file for the drawing of Feynman diagrams with LaTeX.
% It assumes that the dvips that is used is by Radical Eye Software
% (by Rokicki), because the graphics primitives are given in
% postscript. If you do not work with a dvi to postscript converter
% you are out of luck.
%
% Made by J.A.M. Vermaseren 14-feb-1994
%
% Use:
% Enter the picture environment with for instance
% \begin{picture}(width,height)(0,0)
% statements
% \end{picture}
% All statements should be entered inside the picture environment.
% All coordinates should be in terms of pt (but the pt must be omitted).
% One may also use the figure environment.
%
\input{epsf.sty}
% #[ inventory :
%
% The variables in are:
% mtrx,num,ampi,x1,y1,x2,y2,dx,dy,dr,speed
% step,phi,arcend,arcstart,radius
% theindex,thechar,darc,const,amp1 amp2 amp3
% gcolor,xx,name,name1,name2,xx1,xx2
%
% NOTE: blank lines are not allowed inside the postscript code!!!!!
% (LaTeX sneaks \par commands in and the postscript goes boink)
%
\special{! /ed{exch def}def /gs{gsave dup scale}def
/gsw{gs /width ed width 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 }
%
% #] inventory :
% #[ arrowdown :
%
\special{! /arrowdown{
/nwidth { width 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 }
%
% #] arrowdown :
% #[ arrowup :
%
\special{! /arrowup{
/nwidth { width 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 }
%
% #] arrowup :
% #[ arrowright :
%
\special{! /arrowright{
/nwidth { width 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 }
%
% #] arrowright :
% #[ gluon :
%
\special{! /gluon{
gsw /num ed /ampi ed /dy ed /dx ed p1
/dy dy y1 sub def /dx dx 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
%
grestore
} def }
%
% #] gluon :
% #[ photon :
%
\special{! /photon{
%
% Draws a photon from x1,y1 to x2,y2 with amplitude A and n wiggles
%
gsw /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 }
%
% #] photon :
% #[ zigzag :
%
\special{! /zigzag{
%
% Draws a zigzag line from x1,y1 to x2,y2 with amplitude A and n zigzags
%
gsw /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 }
%
% #] zigzag :
% #[ photonarc :
%
\special{! /photonarc{
%
% Draws a photonarc center at x1,y1, radius arcstart,arcend, amplitude
% number of wiggles, width, scale
%
gsw /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 }
%
% #] photonarc :
% #[ gluearc :
%
\special{! /gluearc{
%
% Draws a gluon on an arcsegment
% x_center,y_center,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)
%
gsw /num ed /ampi ed /arcend ed /arcstart ed /radius ed
%
translate % move to center of circle
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 }
%
% #] gluearc :
% #[ arrowarc :
%
\special{! /arrowarc{
%
% Draws an anticlockwise arc with an arrow in the middle
% The arc is x_center, y_center, radius, start_angle, end_angle
%
gsw /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 }
%
% #] arrowarc :
% #[ longarrowarc :
%
\special{! /longarrowarc{
%
% Draws an anticlockwise arc with an arrow at the end
% The arc is x_center, y_center, radius, start_angle, end_angle
%
gsw /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 width 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 }
%
% #] longarrowarc :
% #[ dasharrowarc :
%
\special{! /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
%
gsw /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 }
%
% #] dasharrowarc :
% #[ arrowarcn :
%
\special{! /arrowarcn{
%
% Draws a clockwise arc with an arrow in the middle
% The arc is x_center, y_center, radius, start_angle, end_angle
%
gsw /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 }
%
% #] arrowarcn :
% #[ longarrowarcn :
%
\special{! /longarrowarcn{
%
% Draws a clockwise arc with an arrow in the end
% The arc is x_center, y_center, radius, start_angle, end_angle
%
gsw /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 }
%
% #] longarrowarcn :
% #[ dasharrowarcn :
%
\special{! /dasharrowarcn{
%
% Draws a dashed clockwise arc with an arrow in the middle
% The arc is x_center, y_center, radius, start_angle, end_angle
%
gsw /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 }
%
% #] dasharrowarcn :
% #[ arrowline :
%
\special{! /arrowline{
%
% Draws a straight line with an arrow in the middle
% x1,y1,x2,y2
%
gsw 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 }
%
% #] arrowline :
% #[ longarrow :
%
\special{! /longarrow{
%
% Draws a straight line with an arrow at the end
% x1,y1,x2,y2
%
gsw 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 }
%
% #] longarrow :
% #[ dasharrowline :
%
\special{! /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)
%
gsw /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 }
%
% #] dasharrowline :
% #[ line :
%
\special{! /line{
%
% Draws a straight line: x1,y1,x2,y2
%
gsw p2 p1
%
newpath
x1 y1 moveto
x2 y2 lineto
stroke
grestore
} def }
%
% #] line :
% #[ dashline :
%
\special{! /dashline{
%
% Draws a straight dashed line: x1,y1,x2,y2,dsize
%
% The pattern is ideally [dsize dsize] 0 setdash
% but we want to have (2*n+1)/2 patterns, so dsize must be rounded
%
gsw /dsize ed p2 p1
/r y2 y1 sub dup mul x2 x1 sub dup mul add sqrt def
/dsize r dsize 2 mul div 0.5 sub round dup 0 le { pop 0 } if 2 mul 1 add
r exch div def
[dsize dsize] 0 setdash
%
newpath
x1 y1 moveto
x2 y2 lineto
stroke
grestore
} def }
%
% #] dashline :
% #[ carc :
%
\special{! /carc{
%
% Draws an anti-clockwise arc segment:
% x_center, y_center, radius, start_angle, end_angle
%
gsw /arcend ed /arcstart ed /radius ed
%
translate % x and y are still on stack
newpath 0 0 radius arcstart arcend arc stroke
grestore
} def }
%
% #] carc :
% #[ dashcarc :
%
\special{! /dashcarc{
%
% Draws an anti-clockwise arc segment:
% x_center, y_center, radius, start_angle, end_angle, dsize
%
gsw /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 }
%
% #] dashcarc :
% #[ vertex :
%
\special{! /vertex{
%
% Puts a fat dot at x,y size is the radius of the dot
%
gs
/dotsize ed
translate
newpath
0 0 dotsize 0 360 arc
0 setgray fill stroke
grestore
} def }
%
% #] vertex :
% #[ bcirc :
%
\special{! /bcirc{
%
% Draws an anti-clockwise blanked circle:
% x_center, y_center, radius
%
gsw /radius ed
%
translate % x and y are still on stack
%
1 setgray
newpath 0 0 radius 0 360 arc fill
0 setgray
newpath 0 0 radius 0 360 arc stroke
grestore
} def }
%
% #] bcirc :
% #[ gcirc :
%
\special{! /gcirc{
%
% Draws an anti-clockwise blanked gray circle:
% x_center, y_center, radius, grayscale
%
gsw /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 }
%
% #] gcirc :
% #[ box :
%
\special{! /box{
%
% Draws a box x1,y1,x2,y2
%
gsw p2 p1
abox stroke
grestore
} def }
%
% #] box :
% #[ bbox :
%
\special{! /bbox{
%
% Draws a blanked out box x1,y1,x2,y2
%
gsw p2 p1
1 setgray abox fill
0 setgray abox stroke
grestore
} def }
%
% #] bbox :
% #[ gbox :
%
\special{! /gbox{
%
% Draws a blanked out gray box x1,y1,x2,y2,color
%
gsw /gcolor ed p2 p1
1 setgray abox fill
gcolor setgray abox fill
0 setgray abox stroke
grestore
} def }
%
% #] gbox :
% #[ btext :
%
\special{! /btext{
%
% Makes a box that has the text centered in it
% The center of the box is at x,y and the box is just large enough
% for the text.
% x,y,text,fontsize,linewidth,scale
%
gsw /fsize ed /thetext ed translate
/hsize thetext stringwidth pop def
/x1 hsize fsize add 2 div neg def
/y1 fsize 2 mul 3 div neg def
/x2 x1 neg def /y2 y1 neg def
1 setgray abox fill 0 setgray abox stroke
hsize 2 div neg fsize 3 div neg moveto thetext show
grestore
} def }
%
% #] btext :
% #[ b2text :
%
\special{! /b2text{
%
% Makes a box that has two lines of text centered in it
% The center of the box is at x,y and the box is just large enough
% for the text.
% x,y,text1,text2,fontsize,linewidth,scale
%
gsw /fsize ed /text2 ed /text1 ed translate
/hsize1 text1 stringwidth pop def
/hsize2 text2 stringwidth pop def
hsize1 hsize2 lt { /hsize hsize2 def } { /hsize hsize1 def } ifelse
/x1 hsize fsize add 2 div neg def
/y1 fsize neg 7 mul 6 div def
/x2 x1 neg def /y2 y1 neg def
1 setgray abox fill 0 setgray abox stroke
hsize1 2 div neg fsize 6 div moveto text1 show
hsize2 2 div neg fsize 5 mul 6 div neg moveto text2 show
grestore
} def }
%
% #] b2text :
% #[ gtext :
%
\special{! /gtext{
%
% Makes a gray box that has the text centered in it
% The center of the box is at x,y and the box is just large enough
% for the text.
% x,y,gray,text,fontsize,linewidth,scale
%
gsw /fsize ed /thetext ed /graysc ed translate
/hsize thetext stringwidth pop def
/x1 hsize fsize add 2 div neg def
/y1 fsize 2 mul 3 div neg def
/x2 x1 neg def /y2 y1 neg def
graysc setgray abox fill 0 setgray abox stroke
hsize 2 div neg fsize 3 div neg moveto thetext show
grestore
} def }
%
% #] gtext :
% #[ g2text :
%
\special{! /g2text{
%
% Makes a gray box that has two lines of text centered in it
% The center of the box is at x,y and the box is just large enough
% for the text.
% x,y,gray,text1,text2,fontsize,linewidth,scale
%
gsw /fsize ed /text2 ed /text1 ed /graysc ed translate
/hsize1 text1 stringwidth pop def
/hsize2 text2 stringwidth pop def
hsize1 hsize2 lt { /hsize hsize2 def } { /hsize hsize1 def } ifelse
/x1 hsize fsize add 2 div neg def
/y1 fsize neg 7 mul 6 div def
/x2 x1 neg def /y2 y1 neg def
graysc setgray abox fill 0 setgray abox stroke
hsize1 2 div neg fsize 6 div moveto text1 show
hsize2 2 div neg fsize 5 mul 6 div neg moveto text2 show
grestore
} def }
%
% #] g2text :
% #[ ptext :
%
\special{! /ptext{
%
% Puts a text at x,y (focal point)
% phi is a rotation angle
% Mode tells how the text should be w.r.t. the focal point.
% fsize is the fontsize
% Then the text is given.
% Finally the scale factor should be there
%
gs
/text ed
/fsize ed
/mode ed
3 1 roll
translate rotate % We are at the focus and have the proper orientation
mode 3 lt { 0 fsize neg translate } {
mode 6 lt { /mode mode 3 sub def 0 fsize 2 div neg translate }
{ /mode mode 6 sub def } ifelse } ifelse
/fsize text stringwidth pop def
mode 1 eq { fsize 2 div neg 0 translate } {
mode 2 eq { fsize neg 0 translate } if } ifelse
0 0 moveto
text show
grestore
} def }
%
% #] ptext :
% #[ goval :
%
\special{! /goval{
%
% Draws a colored oval that overwrites whatever was there.
% x_center y_center height width rotation color linewidth scale
%
gsw /gcolor ed /x1 ed /x2 ed /radius ed
%
translate % x and y are still on stack
x1 rotate
x2 radius div 1.0 scale
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 }
%
% #] goval :
% #[ oval :
%
\special{! /oval{
%
% Draws an oval that does not overwrite whatever was there.
% x_center y_center height width rotation linewidth scale
%
gsw /x1 ed /x2 ed /radius ed
%
translate % x and y are still on stack
x1 rotate
x2 radius div 1.0 scale
%
0 setgray newpath 0 0 radius 0 360 arc stroke
grestore
} def }
%
% #] oval :
% #[ makecurve :
%
\special{! /docurve{
x1 2 mul x2 add 3 div
y1 y0 sub x1 x0 sub div x2 x0 sub mul
y2 y0 sub x2 x0 sub div x1 x0 sub mul add
y1 add y0 2 mul add 3 div
x1 x2 2 mul add 3 div
y2 y3 sub x2 x3 sub div x1 x3 sub mul
y1 y3 sub x1 x3 sub div x2 x3 sub mul add
y2 add y3 2 mul add 3 div
x2 y2 curveto
} def }
%
\special{! /makecurve{
%
% Incoming stack:
% [array of x,y pairs] width scale
%
gsw /points ed
/ss points length 2 idiv 2 mul def
newpath
ss 4 gt {
/x1 points 0 get def
/y1 points 1 get def
/x2 points 2 get def
/y2 points 3 get def
/x3 points 4 get def
/y3 points 5 get def
/x0 x1 2 mul x2 sub def
/y0 y3 y2 sub x3 x2 sub div y2 y1 sub x2 x1 sub div sub 2 mul
x2 x1 sub dup mul x3 x1 sub div mul
y1 2 mul add y2 sub def
x1 y1 moveto
docurve
0 2 ss 8 sub { /ii ed
/x0 points ii get def
/y0 points ii 1 add get def
/x1 points ii 2 add get def
/y1 points ii 3 add get def
/x2 points ii 4 add get def
/y2 points ii 5 add get def
/x3 points ii 6 add get def
/y3 points ii 7 add get def
docurve
} for
/x0 points ss 6 sub get def
/y0 points ss 5 sub get def
/x1 points ss 4 sub get def
/y1 points ss 3 sub get def
/x2 points ss 2 sub get def
/y2 points ss 1 sub get def
/x3 x2 2 mul x1 sub def
/y3 y2 y1 sub x2 x1 sub div y1 y0 sub x1 x0 sub div sub 2 mul
x2 x1 sub dup mul x2 x0 sub div mul
y2 2 mul add y1 sub def
docurve
} {
ss 4 eq {
points 0 get points 1 get moveto
points 2 get points 3 get lineto
} if
} ifelse
stroke
grestore
} def }
%
% #] makecurve :
% #[ makedashcurve :
%
\special{! /makedashcurve{
%
% Incoming stack:
% [array of x,y pairs] dashsize width scale
%
gsw /dsize ed /points ed
/ss points length 2 idiv 2 mul def
newpath
ss 4 gt {
/x1 points 0 get def
/y1 points 1 get def
/x2 points 2 get def
/y2 points 3 get def
/x3 points 4 get def
/y3 points 5 get def
/x0 x1 2 mul x2 sub def
/y0 y3 y2 sub x3 x2 sub div y2 y1 sub x2 x1 sub div sub 2 mul
x2 x1 sub dup mul x3 x1 sub div mul
y1 2 mul add y2 sub def
x1 y1 moveto
docurve
0 2 ss 8 sub { /ii ed
/x0 points ii get def
/y0 points ii 1 add get def
/x1 points ii 2 add get def
/y1 points ii 3 add get def
/x2 points ii 4 add get def
/y2 points ii 5 add get def
/x3 points ii 6 add get def
/y3 points ii 7 add get def
docurve
} for
/x0 points ss 6 sub get def
/y0 points ss 5 sub get def
/x1 points ss 4 sub get def
/y1 points ss 3 sub get def
/x2 points ss 2 sub get def
/y2 points ss 1 sub get def
/x3 x2 2 mul x1 sub def
/y3 y2 y1 sub x2 x1 sub div y1 y0 sub x1 x0 sub div sub 2 mul
x2 x1 sub dup mul x2 x0 sub div mul
y2 2 mul add y1 sub def
docurve
} {
ss 4 eq {
points 0 get points 1 get moveto
points 2 get points 3 get lineto
} if
} ifelse
centerdash
stroke
grestore
} def }
%
\special{! /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 }
%
\special{! /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 }
%
% #] makedashcurve :
% #[ logaxis :
%
\special{! /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
%
gsw /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
width 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 }
%
% #] logaxis :
% #[ linaxis :
%
\special{! /linaxis{
%
% x1,y1,x2,y2,num_decs,per_dec,hashsize,offset,width,scale
%
gsw /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
width 0.6 mul setlinewidth
newpath
offset x1 div cvi 1 numdec perdec mul offset x1 div cvi 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 }
%
% #] linaxis :
%
\def\axowidth{0.5 }
\def\axoscale{1.0 }
\def\axoxoff{0 }
\def\axoyoff{0 }
\def\axoxo{0 }
\def\axoyo{0 }
\def\firstcall{1}
%
\def\Gluon(#1,#2)(#3,#4)#5#6{
%
% Draws a gluon from (x1,y1) to (x2,y2) with amplitude and number of windings
%
\put(\axoxoff,\axoyoff){\special{"#1 \axoxo add #2 \axoyo add #3
\axoxo add #4 \axoyo add #5 #6 \axowidth \axoscale gluon showpage}}
}
%
\def\Photon(#1,#2)(#3,#4)#5#6{
%
% Draws a photon from (x1,y1) to (x2,y2) with amplitude and number of windings
%
\put(\axoxoff,\axoyoff){\special{"#1 \axoxo add #2 \axoyo add #3
\axoxo add #4 \axoyo add #5 #6 \axowidth \axoscale photon showpage}}
}
%
\def\ZigZag(#1,#2)(#3,#4)#5#6{
%
% Draws a zigzag from (x1,y1) to (x2,y2) with amplitude and number of zigzags
%
\put(\axoxoff,\axoyoff){\special{"#1 \axoxo add #2 \axoyo add #3
\axoxo add #4 \axoyo add #5 #6 \axowidth \axoscale zigzag showpage}}
}
%
\def\PhotonArc(#1,#2)(#3,#4,#5)#6#7{
%
% Draws a photon on an arc segment. The center of the curve is at (1,2)
% The radius, start angle and target angle are (#3,#4,#5), 6 is the
% amplitude of the gluon, and 7 is the number of wiggles.
%
\put(\axoxoff,\axoyoff){\special{"#1 \axoxo add #2 \axoyo add #3
#4 #5 #6 #7 \axowidth \axoscale photonarc showpage}}
}
%
\def\GlueArc(#1,#2)(#3,#4,#5)#6#7{
%
% Draws a gluon on aa arc segment. The center of the curve is at (1,2)
% The radius, start angle and target angle are (#3,#4,#5), 6 is the
% amplitude of the gluon, and 7 is the number of windings.
%
\put(\axoxoff,\axoyoff){\special{"#1 \axoxo add #2 \axoyo add #3
#4 #5 #6 #7 \axowidth \axoscale gluearc showpage}}
}
%
\def\ArrowArc(#1,#2)(#3,#4,#5){
%
% Draws an arc segment with an arrow in it. The center of the curve
% is at (1,2).
% The radius, start angle and target angle are (#3,#4,#5).
% The arc segment runs anticlockwise
%
\put(\axoxoff,\axoyoff){\special{"#1 \axoxo add #2 \axoyo add #3
#4 #5 \axowidth \axoscale arrowarc showpage}}
}
%
\def\LongArrowArc(#1,#2)(#3,#4,#5){
%
% Draws an arc segment with an arrow at its end. The center of the curve
% is at (1,2).
% The radius, start angle and target angle are (#3,#4,#5).
% The arc segment runs anticlockwise
%
\put(\axoxoff,\axoyoff){\special{"#1 \axoxo add #2 \axoyo add #3
#4 #5 \axowidth \axoscale longarrowarc showpage}}
}
%
\def\DashArrowArc(#1,#2)(#3,#4,#5)#6{
%
% Draws a dashed arc segment with an arrow in it. The center of the curve
% is at (1,2).
% The radius, start angle and target angle are (#3,#4,#5).
% The arc segment runs anticlockwise
%
\put(\axoxoff,\axoyoff){\special{"#1 \axoxo add #2 \axoyo add #3
#4 #5 #6 \axowidth \axoscale dasharrowarc showpage}}
}
%
\def\ArrowArcn(#1,#2)(#3,#4,#5){
%
% Draws an arc segment with an arrow in it. The center of the curve
% is at (1,2).
% The radius, start angle and target angle are (#3,#4,#5).
% The arc segment runs clockwise
%
\put(\axoxoff,\axoyoff){\special{"#1 \axoxo add #2 \axoyo add #3
#4 #5 \axowidth \axoscale arrowarcn showpage}}
}
%
\def\LongArrowArcn(#1,#2)(#3,#4,#5){
%
% Draws an arc segment with an arrow at the end. The center of the curve
% is at (1,2).
% The radius, start angle and target angle are (#3,#4,#5).
% The arc segment runs clockwise
%
\put(\axoxoff,\axoyoff){\special{"#1 \axoxo add #2 \axoyo add #3
#4 #5 \axowidth \axoscale longarrowarcn showpage}}
}
%
\def\DashArrowArcn(#1,#2)(#3,#4,#5)#6{
%
% Draws a dashed arc segment with an arrow in it. The center of the curve
% is at (1,2).
% The radius, start angle and target angle are (#3,#4,#5).
% The arc segment runs clockwise
%
\put(\axoxoff,\axoyoff){\special{"#1 \axoxo add #2 \axoyo add #3
#4 #5 #6 \axowidth \axoscale dasharrowarcn showpage}}
}
%
\def\ArrowLine(#1,#2)(#3,#4){
%
% Draws a line with an arrow in it from (x1,y1) to (x2,y2)
%
\put(\axoxoff,\axoyoff){\special{"#1 \axoxo add #2 \axoyo add #3
\axoxo add #4 \axoyo add \axowidth \axoscale arrowline showpage}}
}
%
\def\LongArrow(#1,#2)(#3,#4){
%
% Draws a line with an arrow at the end from (x1,y1) to (x2,y2)
%
\put(\axoxoff,\axoyoff){\special{"#1 \axoxo add #2 \axoyo add #3
\axoxo add #4 \axoyo add \axowidth \axoscale longarrow showpage}}
}
%
\def\DashArrowLine(#1,#2)(#3,#4)#5{
%
% Draws a dashed line with an arrow in it from (x1,y1) to (x2,y2)
% The size of the dashes is given by the fifth argument.
%
\put(\axoxoff,\axoyoff){\special{"#1 \axoxo add #2 \axoyo add #3
\axoxo add #4 \axoyo add #5 \axowidth \axoscale dasharrowline showpage}}
}
%
\def\Line(#1,#2)(#3,#4){
%
% Draws a line from (x1,y1) to (x2,y2)
%
\put(\axoxoff,\axoyoff){\special{"#1 \axoxo add #2 \axoyo add #3
\axoxo add #4 \axoyo add \axowidth \axoscale line showpage}}
}
%
\def\DashLine(#1,#2)(#3,#4)#5{
%
% Draws a line from (x1,y1) to (x2,y2) with a dash pattern of which the
% alternating black and white pieces are approximately {5} points long
%
\put(\axoxoff,\axoyoff){\special{"#1 \axoxo add #2 \axoyo add #3
\axoxo add #4 \axoyo add #5 \axowidth \axoscale dashline showpage}}
}
%
\def\CArc(#1,#2)(#3,#4,#5){
%
% Draws an arc segment. The center of the curve
% is at (1,2).
% The radius, start angle and target angle are (#3,#4,#5).
% The arc segment runs anticlockwise
%
\put(\axoxoff,\axoyoff){\special{"#1 \axoxo add #2 \axoyo add #3
#4 #5 \axowidth \axoscale carc showpage}}
}
%
\def\DashCArc(#1,#2)(#3,#4,#5)#6{
%
% Draws a dashed arc segment. The center of the curve
% is at (1,2).
% The radius, start angle and target angle are (#3,#4,#5).
% The arc segment runs anticlockwise
% dsize (6) is the dashsize. this is rounded to make things come
% out right.
%
\put(\axoxoff,\axoyoff){\special{"#1 \axoxo add #2 \axoyo add #3
#4 #5 #6 \axowidth \axoscale dashcarc showpage}}
}
%
\def\Vertex(#1,#2)#3{
%
% Draws a fat dot at (1,2). The radius of the dot is given by 3.
%
\put(\axoxoff,\axoyoff){\special{"#1 \axoxo add #2 \axoyo add #3
\axoscale vertex showpage}}
}
%
\def\Text(#1,#2)[#3]#4{
%
% Draws text at (1,2). Argument 3 is l,r or c indicating whether
% the text is left adjusted, right adjusted or centered.
% 4 is of course the text.
%
\dimen0=\axoxoff \unitlength
\dimen1=\axoyoff \unitlength
\advance\dimen0 by #1 \unitlength
\advance\dimen1 by #2 \unitlength
\makeatletter
\@killglue\raise\dimen1\hbox to\z@{\kern\dimen0 \makebox(0,0)[#3]{#4}\hss}
\ignorespaces
\makeatother
}
%
\def\BCirc(#1,#2)#3{
%
% Draws a circle at (1,2) and radius 3 that is blanked out.
%
\put(\axoxoff,\axoyoff){\special{"#1 \axoxo add #2 \axoyo add #3
\axowidth \axoscale bcirc showpage}}
}
%
\def\GCirc(#1,#2)#3#4{
%
% Draws a circle at (1,2) and radius 3 that is blanked out.
% Then it fills the circle with a gray scale 4 (0 = black, 1 is white)
%
\put(\axoxoff,\axoyoff){\special{"#1 \axoxo add #2 \axoyo add #3
#4 \axowidth \axoscale gcirc showpage}}
}
%
\def\EBox(#1,#2)(#3,#4){
%
% Draws a box with the left bottom at (x1,y1) and the right top
% at (x2,y2).
%
\put(\axoxoff,\axoyoff){\special{"#1 \axoxo add #2 \axoyo add #3
\axoxo add #4 \axoyo add \axowidth \axoscale box showpage}}
}
%
\def\BBox(#1,#2)(#3,#4){
%
% Draws a box with the left bottom at (x1,y1) and the right top
% at (x2,y2). The box is blanked out.
%
\put(\axoxoff,\axoyoff){\special{"#1 \axoxo add #2 \axoyo add #3
\axoxo add #4 \axoyo add \axowidth \axoscale bbox showpage}}
}
%
\def\GBox(#1,#2)(#3,#4)#5{
%
% Draws a box with the left bottom at (x1,y1) and the right top
% at (x2,y2). The box is blanked out and then filled with gray 5
% (0 is black, 1 is white)
%
\put(\axoxoff,\axoyoff){\special{"#1 \axoxo add #2 \axoyo add #3
\axoxo add #4 \axoyo add #5 \axowidth \axoscale gbox showpage}}
}
%
\def\Boxc(#1,#2)(#3,#4){
%
% Draws a box with the center at (x1,y1).
% The width and height are (3,4).
%
\put(\axoxoff,\axoyoff){\special{"#1 \axoxo add #3 2 div sub #2 \axoyo add
#4 2 div sub #1 \axoxo add #3 2 div add #2 \axoyo add #4 2 div add
\axowidth \axoscale box showpage}}
}
%
\def\BBoxc(#1,#2)(#3,#4){
%
% Draws a box with the center at (x1,y1).
% The width and height are (3,4). The contents are blanked out
%
\put(\axoxoff,\axoyoff){\special{"#1 \axoxo add #3 2 div sub #2 \axoyo add
#4 2 div sub #1 \axoxo add #3 2 div add #2 \axoyo add #4 2 div add
\axowidth \axoscale bbox showpage}}
}
%
\def\GBoxc(#1,#2)(#3,#4)#5{
%
% Draws a box with the center at (x1,y1).
% The width and height are (3,4). The contents are blanked out
% Then the contents are filled with gray 5 (0 is black, 1 is white)
%
\put(\axoxoff,\axoyoff){\special{"#1 \axoxo add #3 2 div sub #2 \axoyo add
#4 2 div sub #1 \axoxo add #3 2 div add #2 \axoyo add #4 2 div add
\axowidth \axoscale gbox showpage}}
}
%
\def\SetWidth#1{\def\axowidth{#1 }}
\def\SetScale#1{\def\axoscale{#1 }}
\def\SetOffset(#1,#2){\def\axoxoff{#1 } \def\axoyoff{#2 }}
\def\SetScaledOffset(#1,#2){\def\axoxo{#1 } \def\axoyo{#2 }}
%
\def\pfont{Times-Roman }
\def\fsize{10 }
%
\def\SetPFont#1#2{\def\pfont{#1 } \def\fsize{#2 }}
%
% Now some definitions to sort out the lt etc type of options in PText
%
\makeatletter
\def\fmode{4 }
\def\@l@{l} \def\@r@{r} \def\@t@{t} \def\@b@{b}
\def\mymodetest#1{\ifx#1\end \let\next=\relax \else {
\if#1\@r@\global\def\fmodeh{-3 }\fi
\if#1\@l@\global\def\fmodeh{3 }\fi
\if#1\@b@\global\def\fmodev{-1 }\fi
\if#1\@t@\global\def\fmodev{1 }\fi
} \let\next=\mymodetest\fi \next}
\makeatother
%
\def\PText(#1,#2)(#3)[#4]#5{
%
% Draws a postscript text in a postscript font.
% Focal point is (1,2), rotation angle is 3, 4 is the mode (as in text)
% and 5 is the text.
%
\def\fmodev{0 }
\def\fmodeh{0 }
\mymodetest#4\end
\put(\axoxoff,\axoyoff){\makebox(0,0)[]{\special{"/\pfont findfont \fsize
scalefont setfont #1 \axoxo add #2 \axoyo add #3
\fmode \fmodev add \fmodeh add \fsize (#5) \axoscale ptext }}}
}
%
\def\GOval(#1,#2)(#3,#4)(#5)#6{
%
% Draws a colored oval that overwrites whatever was there.
% Oval(x_center,y_center)(height,width)(rotation)(color)
%
\put(\axoxoff,\axoyoff){\special{"#1 \axoxo add #2 \axoyo add #3 #4 #5 #6
\axowidth \axoscale goval showpage}}
}
%
\def\Oval(#1,#2)(#3,#4)(#5){
%
% Draws an oval that does not overwrite whatever was there.
% Oval(x_center,y_center)(height,width)(rotation)
%
\put(\axoxoff,\axoyoff){\special{"#1 \axoxo add #2 \axoyo add #3 #4 #5
\axowidth \axoscale oval showpage}}
}
%
\let\eind=]
\def\DashCurve#1#2{\put(\axoxoff,\axoyoff){\special{" [ \kromme#1] #2
\axowidth \axoscale makedashcurve showpage}}}
\def\Curve#1{\put(\axoxoff,\axoyoff){\special{" [ \kromme#1] \axowidth
\axoscale makecurve showpage}}}
\def\kromme(#1,#2)#3{#1 \axoxo add #2 \axoyo add \ifx #3\eind\else
\expandafter\kromme\fi#3}
%
\def\LogAxis(#1,#2)(#3,#4)(#5,#6,#7,#8){
%
% Draws a line with logarithmic hash marks along it.
% LogAxis(x1,y1)(x2,y2)(num_logs,hashsize,offset,width)
% The line is from (x1,y1) to (x2,y2) and the marks are on the left side
% when hashsize is positive, and right when it is negative.
% num_logs is the number of orders of magnitude and offset is the number
% at which one starts at (x1,y1) (like if offset=2 we start at 2)
% When offset is 0 we start at 1. Width is the linewidth.
%
\put(\axoxoff,\axoyoff){\special{"#1 \axoxo add #2 \axoyo add #3
\axoxo add #4 \axoyo add #5 #6 #7 #8 \axoscale logaxis showpage}}
}
%
\def\LinAxis(#1,#2)(#3,#4)(#5,#6,#7,#8,#9){
%
% Draws a line with linear hash marks along it.
% LinAxis(x1,y1)(x2,y2)(num_decs,per_dec,hashsize,offset,width)
% The line is from (x1,y1) to (x2,y2) and the marks are on the left side
% when hashsize is positive, and right when it is negative.
% num_decs is the number of accented marks, per_dec the number of
% divisions between them and offset is the number
% at which one starts at (x1,y1) (like if offset=2 we start at the second
% small mark) Width is the linewidth.
%
\put(\axoxoff,\axoyoff){\special{"#1 \axoxo add #2 \axoyo add #3
\axoxo add #4 \axoyo add #5 #6 #7 #8 #9 \axoscale linaxis showpage}}
}
%
\input rotate.tex
\makeatletter
%
\def\rText(#1,#2)[#3][#4]#5{
%
% Draws rotated text at (1,2). Argument 3 is l,r or c indicating whether
% the text is left adjusted, right adjusted or centered.
% 4 is the rotation angle and 5 is of course the text.
%
\ifnum\firstcall=1\global\def\firstcall{0}\rText(-10000,#2)[#3][]{#5}\fi
\dimen2=\axoxoff \unitlength
\dimen3=\axoyoff \unitlength
\advance\dimen2 by #1 \unitlength
\advance\dimen3 by #2 \unitlength
\@killglue\raise\dimen3\hbox to \z@{\kern\dimen2
\makebox(0,0)[#3]{
\ifx#4l{\setbox3=\hbox{#5}\rotl{3}}\else{
\ifx#4r{\setbox3=\hbox{#5}\rotr{3}}\else{
\ifx#4u{\setbox3=\hbox{#5}\rotu{3}}\else{#5}\fi}\fi}\fi}\hss}
\ignorespaces
}
\makeatother
%
\def\BText(#1,#2)#3{
%
% Draws a box with the center at (x1,y1) and postscript text in it.
%
\put(\axoxoff,\axoyoff){\special{"/\pfont findfont \fsize
scalefont setfont #1 \axoxo add #2 \axoyo add (#3)
\fsize \axowidth \axoscale btext showpage}}
}
%
\def\GText(#1,#2)#3#4{
%
% Draws a box with the center at (x1,y1) and postscript(#4) text in it.
% The grayness of the box is given by #3
%
\put(\axoxoff,\axoyoff){\special{"/\pfont findfont \fsize
scalefont setfont #1 \axoxo add #2 \axoyo add #3 (#4)
\fsize \axowidth \axoscale gtext showpage}}
}
%
\def\B2Text(#1,#2)#3#4{
%
% Draws a box with the center at (x1,y1) and two lines of postscript
% text in it.
%
\put(\axoxoff,\axoyoff){\special{"/\pfont findfont \fsize
scalefont setfont #1 \axoxo add #2 \axoyo add (#3) (#4)
\fsize \axowidth \axoscale b2text showpage}}
}
%
\def\G2Text(#1,#2)#3#4#5{
%
% Draws a box with the center at (x1,y1) and two lines of postscript
% text (#4 and #5) in it.
% The grayness of the box is given by #3
%
\put(\axoxoff,\axoyoff){\special{"/\pfont findfont \fsize
scalefont setfont #1 \axoxo add #2 \axoyo add #3 (#4) (#5)
\fsize \axowidth \axoscale g2text showpage}}
}

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