From: hackbard Date: Mon, 4 Aug 2003 13:08:12 +0000 (+0000) Subject: ablaufschema part1 added, added graphs stuff X-Git-Url: https://hackdaworld.org/gitweb/?a=commitdiff_plain;h=643ca262f74418c8522b0faa0b90bd0672b92335;p=lectures%2Flatex.git ablaufschema part1 added, added graphs stuff --- diff --git a/nlsop/graphs.header b/nlsop/graphs.header new file mode 100644 index 0000000..64fa43f --- /dev/null +++ b/nlsop/graphs.header @@ -0,0 +1,620 @@ +% Postscript header file for version 1.53 of graphs.sty. Frank Drewes, 19.12.2000 +% Small bug in psdirbowoncircle and psdirbowonrectangle removed on 8. Dec. 97 +% (hopefully) + +/psloadcolour % [ r g b ] colour array +{ aload pop setrgbcolor } def + +/psrectangle % width, height, interior color, linecolour, linewidth, linedash +{/filled exch def +0 setdash +/lwidth exch def +/lcolour exch def +/colour exch def +/height exch def +/width exch def +width lwidth gt + {/width width lwidth sub def} + {/width 0 def} +ifelse +height lwidth gt + {/height height lwidth sub def} + {/height 0 def} +ifelse +newpath +width 2 div neg height 2 div neg moveto +width 0 rlineto +0 height rlineto +width neg 0 rlineto +closepath +filled { + colour psloadcolour + gsave + fill + grestore +} if +lcolour psloadcolour +lwidth setlinewidth +stroke} def + +%-----------------------------------------------------------------------------% + +/pscircle % diameter, interior color, line colour, line width, line dash +{/filled exch def +0 setdash +/lwidth exch def +/lcolour exch def +/colour exch def +/diam exch def +diam lwidth gt + {/diam diam lwidth sub def} + {/diam 0 def} +ifelse +newpath +diam 2 div 0 moveto +0 0 diam 2 div 0 360 arc +closepath +filled { + colour psloadcolour + gsave + fill + grestore +} if +lcolour psloadcolour +lwidth setlinewidth +stroke} def + +%-----------------------------------------------------------------------------% + +/psline % end x, end y, line width, line colour, line dash +{0 setdash +psloadcolour +setlinewidth +/endy exch def +/endx exch def +newpath +0 0 moveto +endx endy lineto +stroke} def + +%-----------------------------------------------------------------------------% + +/psloop % from (#1,#2) to (#3,#4), line colour, line width, line dash +{0 setdash +setlinewidth +psloadcolour +/varw exch def +/varv exch def +/vary exch def +/varx exch def +newpath 0 0 moveto +varx vary lineto +/varxb varx 2 mul def +/varyb vary 2 mul def +/varvb varv 2 mul def +/varwb varw 2 mul def +varxb varyb varvb varwb varv varw curveto +closepath +stroke} def + +%-----------------------------------------------------------------------------% + +/psloopbyangle % angle #1, axis (#2,#3), line colour, line width, line dash +{/axisY exch def +/axisX exch def +/alpha exch def +/len axisX dup mul axisY dup mul add sqrt def +/betaA axisY axisX atan alpha 2 div sub def +/betaB betaA alpha add def +len betaA cos mul len betaA sin mul +len betaB cos mul len betaB sin mul} def + +%-----------------------------------------------------------------------------% + +/pslooparrowonrectangle % (#1,#2), (#3,#4), width, height, line colour, + % line width, line dash, arrow length, arrow width +{/atype exch def +/awid exch def +/len exch def +0 setdash +setlinewidth +psloadcolour +/height exch def +/width exch def +/varw exch def +/varv exch def +/vary exch def +/varx exch def +newpath 0 0 moveto +varx vary lineto +/varxb varx 2 mul def +/varyb vary 2 mul def +/varvb varv 2 mul def +/varwb varw 2 mul def +varxb varyb varvb varwb varv varw curveto +varv varw translate +/varv varv neg def /varw varw neg def +varv abs varw abs +varv abs varw abs gt { exch } if +div dup mul 1 add width height mul mul sqrt 2 div /dist exch def +/getlen { + /size exch def + abs exch abs exch + div dup mul 1 add size dup mul mul sqrt 2 div +} def +varv 0 eq + {/dist height 2 div def} + {varw 0 eq + {/dist width 2 div def} + { + /fstdist varv varw height getlen def + /snddist varw varv width getlen def + fstdist snddist lt + {/dist fstdist def} {/dist snddist def} ifelse + } ifelse + } ifelse +varw varv atan rotate +/pos varv dup mul varw dup mul add sqrt dist sub def +pos len sub 0 lineto +stroke +pos len awid atype psdrawarrow +} def + +%-----------------------------------------------------------------------------% + +/pslooparrowoncircle % (#1,#2), (#3,#4), diameter, line colour, line width, + % line dash, arrow length, arrow width +{/atype exch def +/awid exch def +/len exch def +0 setdash +setlinewidth +psloadcolour +/diam exch def +/varw exch def +/varv exch def +/vary exch def +/varx exch def +newpath 0 0 moveto +varx vary lineto +/varxb varx 2 mul def +/varyb vary 2 mul def +/varvb varv 2 mul def +/varwb varw 2 mul def +varxb varyb varvb varwb varv varw curveto +varv varw translate +/varv varv neg def /varw varw neg def +varw varv atan rotate +/pos varv dup mul varw dup mul add sqrt diam 2 div sub def +pos len sub 0 lineto +stroke +pos len awid atype psdrawarrow +} def + +%-----------------------------------------------------------------------------% + +/psdeletebox % width, height +{/height exch def +/width exch def +newpath +width 2 div neg height 2 div neg moveto +width 0 rlineto +0 height rlineto +width neg 0 rlineto +closepath +1 setgray +fill} def + +%-----------------------------------------------------------------------------% + +/psarrowonrectangle % x, y, width, height, arrow length, arrow width, + % line colour, line width, dash array +{0 setdash +setlinewidth +psloadcolour +/atype exch def +/awid exch def +/len exch def +/height exch def +/width exch def +/ypos exch def +/xpos exch def +/getlen { + /size exch def + abs exch abs exch + div dup mul 1 add size dup mul mul sqrt 2 div +} def +xpos 0 eq + {/dist height 2 div def} + {ypos 0 eq + {/dist width 2 div def} + { + /fstdist xpos ypos height getlen def + /snddist ypos xpos width getlen def + fstdist snddist lt + {/dist fstdist def} {/dist snddist def} ifelse + } ifelse + } ifelse +ypos xpos atan rotate +/pos xpos dup mul ypos dup mul add sqrt dist sub def +pos len awid atype psdrawarrow +0 0 moveto +pos len sub 0 lineto +stroke} def + +%-----------------------------------------------------------------------------% + +/psarrowoncircle +{0 setdash +setlinewidth +psloadcolour +/atype exch def +/awid exch def +/len exch def +/diam exch def +/ypos exch def +/xpos exch def +ypos xpos atan rotate +/pos xpos dup mul ypos dup mul add sqrt diam 2 div sub def +pos len awid atype psdrawarrow +0 0 moveto +pos len sub 0 lineto +stroke} def + +%-----------------------------------------------------------------------------% + +/pspath +{/fillyes exch def +/fillcolour exch def +0 setdash +psloadcolour +setlinewidth +/curry exch def +/currx exch def +/sqr { dup mul } def +/mtrx matrix currentmatrix def +newpath currx curry moveto +counttomark 3 idiv +{ /displace exch def + displace abs 0 gt + { currx curry translate + dup curry sub /ypos exch def /curry exch def + dup currx sub /xpos exch def /currx exch def + /len xpos sqr ypos sqr add sqrt def + /displace displace len mul def + ypos xpos atan rotate + /db len 2 div def + /rad displace db sqr displace div add 2 div def + /radb rad displace sub def + /anglea radb db atan def + /angleb 180 anglea sub def + displace 0 gt + { db radb neg rad angleb anglea arcn } + { db radb neg rad 360 anglea sub angleb neg arc } + ifelse + mtrx setmatrix + } + { /curry exch def + /currx exch def + currx curry lineto + } + ifelse +} +repeat +pop +fillyes {gsave fillcolour psloadcolour fill grestore} if +0 setlinecap +0 setlinejoin +stroke +} def + +%-----------------------------------------------------------------------------% + +/pscurve +{/fillyes exch def +/fillcolour exch def +0 setdash +psloadcolour +setlinewidth +/currx exch def +/curry exch def +/angle exch def +/factora exch def +/factorb exch def +newpath currx curry moveto +counttomark 5 idiv +{ /newx exch def + /newy exch def + /len newx currx sub dup mul newy curry sub dup mul add sqrt def + /firstx len factora mul angle cos mul currx add def + /firsty len factora mul angle sin mul curry add def + /currx newx def + /curry newy def + /angle exch def + firstx + firsty + len factorb mul angle cos mul neg currx add + len factorb mul angle sin mul neg curry add + currx + curry + curveto + /factora exch def + /factorb exch def +} +repeat +pop +fillyes {gsave fillcolour psloadcolour fill grestore} if +0 setlinecap +0 setlinejoin +stroke +} def + +%-----------------------------------------------------------------------------% + +/psbubble +{/fillyes exch def +/fillcolour exch def +0 setdash +psloadcolour +setlinewidth +/lenfactor exch def +/fetch {/arg exch def dup arg exch def counttomark 1 roll} def +/compangle { + /firstangle exch def + /scndangle exch def + firstangle sin scndangle sin add 2 div + firstangle cos scndangle cos add 2 div + atan +} def +/currax fetch +/curray fetch +counttomark 2 idiv +{ +/currbx exch def +/currby exch def +currax currbx ne curray currby ne or + {currby currbx /currax fetch /curray fetch} +if +} +repeat +/lastx fetch +/lasty fetch +/currax fetch +/curray fetch +/currbx fetch +/currby fetch +newpath currax curray moveto +counttomark 2 idiv +{ /nextx fetch + /nexty fetch + /fstangle + curray lasty sub currax lastx sub atan + currby curray sub currbx currax sub atan + compangle + def + /sndangle + currby curray sub currbx currax sub atan + nexty currby sub nextx currbx sub atan + compangle + def + /len currax currbx sub dup mul curray currby sub dup mul add sqrt lenfactor mul def + fstangle cos len mul currax add + fstangle sin len mul curray add + currbx sndangle cos len mul sub + currby sndangle sin len mul sub + currbx currby + curveto + /lastx currax def + /lasty curray def + /currax currbx def + /curray currby def + /currbx nextx def + /currby nexty def +} +repeat +pop +fillyes {gsave fillcolour psloadcolour fill grestore} if +0 setlinecap +0 setlinejoin +stroke +} def + +%-----------------------------------------------------------------------------% + +/psdrawarrow +{gsave +/type exch def +/wid exch def +/len exch def +0 translate -1 1 scale +newpath 0 0 moveto +type 1 eq +{ len len wid 2 div mul lineto + 0 len wid neg mul rlineto} +{ /mid len 2 div def + 0 0 + mid 0 + len len wid 2 div mul curveto + len len wid -2 div mul lineto + mid 0 + 0 0 + 0 0 curveto +} ifelse +closepath +fill +grestore +} def + +%-----------------------------------------------------------------------------% + +/psdirbowoncircle +{0 setdash +psloadcolour +setlinewidth +/atype exch def +/awid exch def +/arrowlen exch def +2 div /targetradius exch def +/displace exch def +/othery exch def +/otherx exch def +/curry exch def +/currx exch def +/sqr { dup mul } def + +currx curry translate +othery curry sub /othery exch def +otherx currx sub /otherx exch def +/angle otherx neg othery atan def +/distance otherx sqr othery sqr add sqrt def +/displace displace distance mul def +/radius displace distance 2 div sqr displace div add 2 div def +/centerx angle cos radius displace sub mul otherx 2 div add def +/centery angle sin radius displace sub mul othery 2 div add def +displace 0 gt +{ /anglea othery centery sub otherx centerx sub atan def + /angleb centery neg centerx neg atan def + angleb anglea lt + { /anglea anglea 360 sub def } + if +} +{ /anglea centery othery sub centerx otherx sub atan def + /angleb centery centerx atan def + angleb anglea gt + { /anglea anglea 360 add def } + if +} +ifelse + +anglea angleb targetradius pscomputeposoncircle +/tipy exch def /tipx exch def +anglea angleb targetradius arrowlen add pscomputeposoncircle +/taily exch def /tailx exch def + +newpath 0 0 moveto +0 setlinecap +0 setlinejoin +displace 0 gt +{ centerx centery radius angleb taily centery sub tailx centerx sub atan arcn } +{ centerx centery radius angleb centery taily sub centerx tailx sub atan arc } +ifelse +stroke + +tailx taily translate +/tipx tipx tailx sub def +/tipy tipy taily sub def +tipy tipx atan rotate +arrowlen arrowlen awid atype psdrawarrow +} def + +/pscomputeposoncircle +{/otherr exch def +/beta exch def +/alpha exch def +{ + /currangle alpha beta add 2 div def + /xpos currangle cos radius mul centerx add def + /ypos currangle sin radius mul centery add def + otherx xpos sub sqr othery ypos sub sqr add sqrt + /newdist exch def + newdist otherr sub abs .001 le + {exit} + if + newdist otherr le + {/alpha currangle def} + {/beta currangle def} + ifelse +} loop +currangle cos radius mul centerx add +currangle sin radius mul centery add +} def + + +%-----------------------------------------------------------------------------% + +/psdirbowonrectangle +{0 setdash +psloadcolour +setlinewidth +/atype exch def +/awid exch def +/arrowlen exch def +2 div /sizey exch def +2 div /sizex exch def +/displace exch def +/othery exch def +/otherx exch def +/curry exch def +/currx exch def +/sqr { dup mul } def + +currx curry translate +othery curry sub /othery exch def +otherx currx sub /otherx exch def +/angle otherx neg othery atan def +/distance otherx sqr othery sqr add sqrt def +/displace displace distance mul def +/radius displace distance 2 div sqr displace div add 2 div def +/centerx angle cos radius displace sub mul otherx 2 div add def +/centery angle sin radius displace sub mul othery 2 div add def +displace 0 gt +{ /anglea othery centery sub otherx centerx sub atan def + /angleb centery neg centerx neg atan def + angleb anglea lt + { /anglea anglea 360 sub def } + if +} +{ /anglea centery othery sub centerx otherx sub atan def + /angleb centery centerx atan def + angleb anglea gt + { /anglea anglea 360 add def } + if +} +ifelse + +anglea angleb pscomputeposonrectangle /tipy exch def /tipx exch def +/targetradius otherx tipx sub sqr othery tipy sub sqr add sqrt def +anglea angleb targetradius arrowlen add pscomputeposoncircle +/taily exch def /tailx exch def + +newpath 0 0 moveto +0 setlinecap +0 setlinejoin +displace 0 gt +{ centerx centery radius angleb taily centery sub tailx centerx sub atan arcn } +{ centerx centery radius angleb centery taily sub centerx tailx sub atan arc } +ifelse +stroke + +tailx taily translate +/tipx tipx tailx sub def +/tipy tipy taily sub def +tipy tipx atan rotate +arrowlen arrowlen awid atype psdrawarrow +} def + +/pscomputeposonrectangle +{/beta exch def +/alpha exch def +/counter 0 def +{ + /currangle alpha beta add 2 div def + /xpos currangle cos radius mul centerx add def + /ypos currangle sin radius mul centery add def + /xdiff xpos otherx sub abs sizex sub def + /ydiff ypos othery sub abs sizey sub def + xdiff abs .001 le ydiff abs .001 le and + xdiff abs .001 le ydiff 0 le and + xdiff 0 le ydiff abs .001 le and + or + {exit} + if + /counter counter 1 add def + xdiff 0 le ydiff 0 le and + {/alpha currangle def} + {/beta currangle def} + ifelse +} loop +currangle cos radius mul centerx add +currangle sin radius mul centery add +} def diff --git a/nlsop/graphs.sty b/nlsop/graphs.sty new file mode 100644 index 0000000..28d4c65 --- /dev/null +++ b/nlsop/graphs.sty @@ -0,0 +1,1335 @@ +\ProvidesPackage{graphs}[2000/12/19] +% +% +%_________________________________________________________________%% +% Draw graphs only if this is set to TRUE: +%_________________________________________________________________%% +% +\newif\ifdrawgraphs +\drawgraphstrue + +\DeclareOption{draft}{\drawgraphsfalse} +\ProcessOptions + +\typeout{} +\typeout{LaTeX2e package `graphs', version 1.53} +\typeout{Frank Drewes, University of Bremen, 19.12.2000} +\typeout{} + +% +% \input the low-level commands that produce PostScript \special's. +% +\input{graphs_ps} +% +% \input the local configuration. +% +\input{graphs_config} +% +% +%_________________________________________________________________%% +% Initial value of \unitlength: +% +\newdimen\g@oldunitlength +\unitlength=1cm +% +% +%_________________________________________________________________%% +% Global settings and macros to change them (all lengths are numbers +% interpreted as multiples of \unitlength, except for the ones in +% \graphlinedash): +% +% - \graphlinewidth define the width of lines (relevant +% for nodes and edges) +% - \graphlinedash define the dash style of lines; the argument +% is a sequence of natural numbers delimited by +% blanks (relevant for nodes and edges). Is +% taken as input to the postscript setdash +% command. +% - \graphnodesize define the size (= diameter) of nodes +% - \graphnodecolour define the interior shading of nodes (a +% number between 0 (= black) and 1 (= white)) +% - \fillednodestrue +% \fillednodesfalse determine whether the interior of nodes shall be +% filled or not +% - \graphlinecolour define the `colour' of edges; similar to +% \graphnodecolour +% - \grapharrowlength define the length from tip to basis of a +% directed edge's arrow head +% - \grapharrowwidth define the width of the basis of a +% directed edge's arrow head (in multiples of +% \grapharrowlength) +% - \grapharrowtype define the type of the arrow heads (argument +% should be 1 or 2) +% - \autodistance define the factor that defines the distance +% of automatically placed text boxes from the +% centre of a node (1 means "placed on the +% edge"). +% - \enlargeboxes define the length that is added to +% text boxes (in x and y direction) in order +% to determine the size of the necessary +% white area underlying it. +% - \opaquetexttrue +% \opaquetextfalse determine whether text boxes shall be considered +% opaque or transparent (In the latter case +% \enlargeboxes doesn't have a (visible) +% effect.) Its initial value is true except +% for \autonodetext, which always has it set +% to false if it's not changed explicitely +% through the optional parameter. +% - \filledareastrue +% \filledareasfalse determine whether areas shall be filled or not +% +% - \graphfillcolour define the fill colour of areas (if filled +% at all). +% +%_________________________________________________________________%% +% +\def\g@defrel#1*#2{\edef#1{#1\ps@s #2 0 ge {#2 mul} if}} +\def\g@defplus#1+#2{\edef#1{ + #1\ps@s + #2 1 gt + {1 exch sub #2 div 1 exch sub} + {#2 0 ge {#2 mul} if} + ifelse}} +\def\g@defcolplus#1+#2{\edef#1{ + #1 + 3 { + 3 1 roll + #2 1 gt + {1 exch sub #2 div 1 exch sub} + {#2 0 ge {#2 mul} if} + ifelse + } + repeat +}} +\def\g@defabs#1#2#3{\def#1{#3}\def#2{}} +\def\g@defcolabs#1#2{% + \@ifnextchar({\g@defcolabsrgb{#1}{#2}}{\g@defcolabsbw{#1}{#2}}% +} +\def\g@defcolabsbw#1#2#3{\def#1{#3\ps@s #3\ps@s #3}\def#2{}} +\def\g@defcolabsrgb#1#2(#3,#4,#5){\def#1{#3\ps@s #4\ps@s #5}\def#2{}} +% +\def\graphlinewidth{% + \@ifnextchar*{\g@defrel{\g@lwidthmod}}% + {\g@defabs{\g@lwidth}{\g@lwidthmod}}} +\graphlinewidth{.02} +% +\def\graphlinedash#1{\def\g@ldash{[ #1 ]}} +\graphlinedash{} +% +\def\graphnodesize#1{\def\g@nsize{#1}} +\graphnodesize{.2} +% +\def\graphnodecolour{% + \@ifnextchar+{\g@defcolplus{\g@ncolourmod}}% + {\g@defcolabs{\g@ncolour}{\g@ncolourmod}}} +\graphnodecolour{0} +% +\newif\iffillednodes\fillednodestrue +% +\def\graphlinecolour{% + \@ifnextchar+{\g@defcolplus{\g@lcolourmod}}% + {\g@defcolabs{\g@lcolour}{\g@lcolourmod}}} +\graphlinecolour{0} +% +\def\grapharrowlength{% + \@ifnextchar*{\g@defrel{\g@alengthmod}}% + {\g@defabs{\g@alength}{\g@alengthmod}}} +\grapharrowlength{.3} +% +\def\grapharrowwidth{% + \@ifnextchar*{\g@defrel{\g@awidthmod}}% + {\g@defabs{\g@awidth}{\g@awidthmod}}} +\grapharrowwidth{.5} +% +\def\grapharrowtype#1{\def\g@atype{#1}} +\grapharrowtype{1} +% +\def\autodistance#1{\def\g@autodistance{#1}} +\autodistance{1.3} +% +\def\enlargeboxes#1{\def\g@eboxes{#1}} +\enlargeboxes{.1} +% +\newif\ifopaquetext\opaquetexttrue +% +\newif\iffilledareas\filledareastrue +% +\def\graphfillcolour{% + \@ifnextchar+{\g@defcolplus{\g@fcolourmod}}% + {\g@defcolabs{\g@fcolour}{\g@fcolourmod}}} +\graphfillcolour{.5} +% +% +%_________________________________________________________________%% +% Issue a warning if a command name defined in graphs.sty already has +% a meaning. +%_________________________________________________________________%% +% +\def\g@test#1{ + \@ifundefined{#1}{}{ + \typeout{} + \typeout{Warning: command name `#1' already used; + redefined in graphs.sty!} + \typeout{} + } +} +% +% +%_________________________________________________________________%% +% This is the environment in which the macros above can be used. +% +% Arguments: +% +% As for the LaTeX picture environment, i.e., it starts with +% \begin{graph}(x,y)(dx,dy) (where the second pair is optional) and +% ends with \end{graph}. +% +% Remark: +% +% The graph enviroment is imlemented on the basis of the picture +% environment. As a result, all commands allowed in pictures may be +% used (in addition to the graph commands). The picture commands' +% effects will always take place first, so subsequent AS WELL AS +% PRECEEDING graph commands will overlay the ordinary LaTeX +% picture. (This is one reason why a command like \freetext is NOT +% useless: its effect takes place after nodes and edges have been +% drawn.) +%_________________________________________________________________%% +% +\g@test{graph}\g@test{framegraph} +\def\framegraph(#1){\@ifnextchar({\g@graph f(#1)}{\g@graph f(#1)(0,0)}} +\def\graph(#1){\@ifnextchar({\g@graph n(#1)}{\g@graph n(#1)(0,0)}} +\def\g@graph#1(#2)(#3){% + \begin{picture}(#2)(#3)% + \if #1f% + \put(#3){\framebox(#2){}}% + \fi% + \ifdrawgraphs\else% + \put(#3){\framebox(#2){graph}}% + \fi% + \def\g@nodeinfo{}\def\g@specialeffects{}\def\g@nodes{}\def\g@texts{}% + \def\g@edges{}% +} +\def\endgraph{% + \ifdrawgraphs + \g@nodeinfo\g@specialeffects\g@edges\g@nodes\g@texts% + \fi% + \end{picture}% +} +\def\endframegraph{\endgraph} +% +% +%_________________________________________________________________%% +% Types of nodes +%_________________________________________________________________%% +% +\def\g@circletype{0} +\def\g@rectangletype{1} +% +% +%_________________________________________________________________%% +% Definition of square nodes: +% +% Arguments: +% +% Nodename (a character sequence like abc) +% Position (x,y) = a pair of numbers +%_________________________________________________________________%% +% +\g@test{squarenode} +\def\squarenode#1(#2,#3){ + \@ifnextchar[{\g@squarenode{#1}(#2,#3)}{\g@squarenode{#1}(#2,#3)[]} +} +% +\def\g@squarenode#1(#2,#3)[#4]{ + \g@extendlist\g@nodeinfo{\g@node{#1}{\g@rectangletype}(#2,#3)[#4]} + \g@extendlist\g@nodes{\g@drawsquarenode{#1}(#2,#3)[#4]} +} +% +% The actual drawing routine: +% +\def\g@drawsquarenode#1(#2,#3)[#4]{% + \edef\g@size{\g@thenodesize{#1}}% + {#4% + \put(#2,#3){\expandafter\ps@rectangle\g@size}% + }% +} +% +% +%_________________________________________________________________%% +% Definition of round nodes: +% +% Arguments: +% +% Nodename (a character sequence like abc) +% Position (x,y) = a pair of numbers +%_________________________________________________________________%% +% +\g@test{roundnode} +\def\roundnode#1(#2,#3){ + \@ifnextchar[{\g@roundnode{#1}(#2,#3)}{\g@roundnode{#1}(#2,#3)[]} +} +% +\def\g@roundnode#1(#2,#3)[#4]{ + \g@extendlist\g@nodeinfo{\g@node{#1}{\g@circletype}(#2,#3)[#4]} + \g@extendlist\g@nodes{\g@drawroundnode{#1}(#2,#3)[#4]} +} +% +% The actual drawing routine: +% +\def\g@drawroundnode#1(#2,#3)[#4]{% + \edef\g@size{\g@thenodesize{#1}}% + {#4%% + \put(#2,#3){\expandafter\ps@circle\g@size}% + }% +} +% +% +%_________________________________________________________________%% +% Definition of rectangular nodes: +% +% Arguments: +% +% Nodename (a character sequence like abc) +% Size [width,height] (in multiples of \unitlength) +% Position (x,y) = a pair of numbers +%_________________________________________________________________%% +% +\g@test{rectnode} +\def\rectnode#1[#2,#3](#4,#5){ + \@ifnextchar[{\g@rectnode{#1}[#2,#3](#4,#5)}% + {\g@rectnode{#1}[#2,#3](#4,#5)[]} +} +% +\def\g@rectnode#1[#2,#3](#4,#5)[#6]{ + \g@extendlist\g@nodeinfo{\g@noderect{#1}[#2,#3](#4,#5)} + \g@extendlist\g@nodes{\g@drawrectnode{#1}[#6]} +} +% +% The actual drawing routine: +% +\def\g@drawrectnode#1[#2]{% + \edef\g@size{\g@thenodesize{#1}}% + \edef\g@coords{\g@nodecoords{#1}}% + {#2% + \expandafter\put\g@coords{\expandafter\ps@rectangle\g@size}% + }% +} +% +% +%_________________________________________________________________%% +% Definition of text nodes (rectangular nodes whose dimension is +% determined by the given text): +% +% Arguments: +% +% Nodename (a character sequence like abc) +% Position (x,y) = a pair of numbers +% Text (=anything that may occur as a \put argument in a picture +% environment, i.e., even lines, vectors, and so on.) +%_________________________________________________________________%% +% +\g@test{textnode} +\def\textnode#1(#2,#3)#4{ + \@ifnextchar[{\g@textnode{#1}(#2,#3){#4}}% + {\g@textnode{#1}(#2,#3){#4}[]} +} +% +\def\g@textnode#1(#2,#3)#4[#5]{ + \autonodetext{#1}{#4}[#5] + \g@extendlist\g@nodeinfo{\g@nodebytext{#1}(#2,#3){#4}[#5]} + \g@extendlist\g@nodes{\g@drawrectnode{#1}% + [\graphnodecolour{1}#5]} +} +% +% +%_________________________________________________________________%% +% Definition of an edge: +% +% Arguments: +% +% The two incident nodes +%_________________________________________________________________%% +% +\g@test{edge} +\def\edge#1#2{ + \@ifnextchar[{\g@edge{#1}{#2}}{\g@edge{#1}{#2}[]} +} +% +\def\g@edge#1#2[#3]{ + \g@extendlist\g@edges{\g@drawedge{#1}{#2}[#3]} +} +% +% The actual drawing routine: +% +\def\g@drawedge#1#2[#3]{% + \g@testname{#1}\g@testname{#2}% + \g@differentpositions{#1}{#2}{\edge{#1}{#2}}% + \edef\g@firstcoords{\g@nodecoords{#1}}% + \edef\g@secondcoords{\g@nodecoords{#2}}% + \g@defcoorddiff{\g@diffcoords}{\g@firstcoords}{\g@secondcoords}% + {#3% + \expandafter\put\g@firstcoords{\expandafter\ps@line\g@diffcoords}% + }% +} +% +% +%_________________________________________________________________%% +% Definition of a directed edge: +% +% Arguments (same as for \edge): +% +% The two incident nodes (order indicates direction of the arrow) +%_________________________________________________________________%% +% +\g@test{diredge} +\def\diredge#1#2{ + \@ifnextchar[{\g@diredge{#1}{#2}}{\g@diredge{#1}{#2}[]} +} +% +\def\g@diredge#1#2[#3]{ + \g@extendlist\g@edges{\g@drawdiredge{#1}{#2}[#3]} +} +% +% The actual drawing routine: +% +\def\g@drawdiredge#1#2[#3]{% + \g@testname{#1}\g@testname{#2}% + \g@differentpositions{#1}{#2}{\diredge{#1}{#2}}% + \edef\g@firstcoords{\g@nodecoords{#1}}% + \edef\g@secondcoords{\g@nodecoords{#2}}% + \g@defcoorddiff{\g@diffcoords}{\g@firstcoords}{\g@secondcoords}% + % + % Choose the right drawing procedure, according to the node's type: + % + \edef\g@type{\g@nodetype{#2}}% + \ifnum\g@circletype=\g@type% + \let\g@draw=\ps@arrowoncircle% + \else% + \let\g@draw=\ps@arrowonrectangle% + \ifnum\g@rectangletype=\g@type% + \else% + \typeout{}% + \typeout{Error in \string\g@drawdiredge: unrecognized node type}% + \fi% + \fi% + % + % and draw it: + % + \edef\g@diffcoordsandsize{\g@diffcoords\g@thenodesize{#2}}% + {#3% + \expandafter\put\g@firstcoords{\expandafter\g@draw\g@diffcoordsandsize}% + }% +} +% +% +%_________________________________________________________________%% +% Definition of a `bow' (a curved edge): +% +% Arguments: +% +% The two incident nodes +% The displacement factor of the midpoint relative to the distance. +% of both nodes. A positive number means the bow extends +% to the left (if one looks in the direction of the edge). +%_________________________________________________________________%% +% +\g@test{bow} +\def\bow#1#2#3{ + \@ifnextchar[{\g@bow{#1}{#2}{#3}}{\g@bow{#1}{#2}{#3}[]} +} +% +\def\g@bow#1#2#3[#4]{ + \g@extendlist\g@edges{\g@drawbow{#1}{#2}{#3}[#4]} +} +% +% The actual drawing routine: +% +\def\g@drawbow#1#2#3[#4]{% + \g@testname{#1}\g@testname{#2}% + \g@differentpositions{#1}{#2}{\bow{#1}{#2}...}% + \edef\g@firstcoords{\g@nodecoords{#1}}% + \edef\g@secondcoords{\g@nodecoords{#2}}% + \expandafter\g@bowcombine\g@secondcoords{#3}% + {#4% + \filledareasfalse% + \put(0,0){\expandafter\ps@path\g@combineresult}% + }% +} +% +% Macro used above to combine coordinates of nodes and displacement: +\def\g@bowcombine(#1,#2)#3{ + \edef\g@combineresult{\g@firstcoords{(#1,#2,#3)}} +} +% +% +%_________________________________________________________________%% +% Definition of a `directed bow' (a curved arrow): +% +% Arguments (same as for \bow): +% +% The two incident nodes +% The displacement factor of the midpoint relative to the distance. +% of both nodes. A positive number means the bow extends +% to the left (if one looks in the direction of the edge). +%_________________________________________________________________%% +% +\g@test{dirbow} +\def\dirbow#1#2#3{ + \@ifnextchar[{\g@dirbow{#1}{#2}{#3}}{\g@dirbow{#1}{#2}{#3}[]} +} +% +\def\g@dirbow#1#2#3[#4]{ + \g@extendlist\g@edges{\g@drawdirbow{#1}{#2}{#3}[#4]} +} +% +% The actual drawing routine: +% +\def\g@drawdirbow#1#2#3[#4]{ + \g@testname{#1}\g@testname{#2}% + \g@differentpositions{#1}{#2}{\dirbow{#1}{#2}...}% + \edef\g@firstcoords{\g@nodecoords{#1}}% + \edef\g@secondcoordsandsize{\g@nodecoords{#2}\g@thenodesize{#2}}% + \expandafter\g@dirbowcombine\g@secondcoordsandsize{#3}% + % + % Choose the right drawing procedure, according to the node's type: + % + \edef\g@type{\g@nodetype{#2}}% + \ifnum\g@circletype=\g@type% + \let\g@draw=\ps@dirbowoncircle% + \else% + \let\g@draw=\ps@dirbowonrectangle% + \ifnum\g@rectangletype=\g@type% + \else% + \typeout{}% + \typeout{Error in \string\g@drawdirbow: unrecognized node type}% + \fi% + \fi% + % + % and draw it: + % + {#4% + \filledareasfalse% + \put(0,0){\expandafter\g@draw\g@combineresult}% + }% +} +% +% Macro used above to combine coordinates of nodes and displacement: +\def\g@dirbowcombine(#1,#2)[#3]#4{ + \edef\g@combineresult{\g@firstcoords(#1,#2,#4)[#3]} +} +% +% +%_________________________________________________________________%% +% Definition of a loop. There're two ways to provide this macro +% with the necessary arguments. Here's the +% first: +% +% Arguments: +% +% Node that carries the loop +% Two relative coordinates (x1,y1) (x2,y2) indicating the lines from +% the incident node to (x1,y1) and (x2,y2) that form the loop +% together with a curve connecting (x1,y1) and (x2,y2). +%_________________________________________________________________%% +% +\g@test{loopedge} +\def\loopedge#1{ + \@ifnextchar({\g@loopedgeA{#1}}{\g@loopedgeB{#1}} +} +% +\def\g@loopedgeA#1(#2,#3)(#4,#5){ + \@ifnextchar[{\g@loopedgeAa{#1}(#2,#3)(#4,#5)}% + {\g@loopedgeAa{#1}(#2,#3)(#4,#5)[]} +} +% +\def\g@loopedgeAa#1(#2,#3)(#4,#5)[#6]{ + \g@extendlist\g@edges{\g@drawloopedgeA{#1}(#2,#3)(#4,#5)[#6]} +} +% +% The actual drawing routine: +% +\def\g@drawloopedgeA#1(#2,#3)(#4,#5)[#6]{% + \g@testname{#1}% + \edef\g@coords{\g@nodecoords{#1}}% + {#6% + \expandafter\put\g@coords{%% + \ps@loopA(#2,#3)(#4,#5)}% + }% +} +% +% +%_________________________________________________________________%% +% Definition of a loop - the second form: +% +% Arguments: +% +% Node that carries the loop +% Angle the two lines defining the loop build +% Coordinates (x,y) that give the axis along which the loop is +% to be drawn and its length (ie, the length of the two lines +% defining the loop). +%_________________________________________________________________%% +% +\def\g@loopedgeB#1#2(#3,#4){ + \@ifnextchar[{\g@loopedgeBa{#1}{#2}(#3,#4)}% + {\g@loopedgeBa{#1}{#2}(#3,#4)[]} +} +% +\def\g@loopedgeBa#1#2(#3,#4)[#5]{ + \g@extendlist\g@edges{\g@drawloopedgeB{#1}{#2}(#3,#4)[#5]} +} +% +% The actual drawing routine: +% +\def\g@drawloopedgeB#1#2(#3,#4)[#5]{% + \g@testname{#1}% + \edef\g@coords{\g@nodecoords{#1}}% + {#5% + \expandafter\put\g@coords{%% + \ps@loopB{#2}(#3,#4)}% + }% +} +% +% +%_________________________________________________________________%% +% Definition of a directed loop. There're two ways to provide +% this macro with the necessary arguments. Here's the first: +% +% Arguments: +% +% Node that carries the loop +% Two relative coordinates (x1,y1) (x2,y2) indicating the lines from +% the incident node to (x1,y1) and (x2,y2) that form the loop +% together with a curve connecting (x1,y1) and (x2,y2). +%_________________________________________________________________%% +% +\g@test{dirloopedge} +\def\dirloopedge#1{ + \@ifnextchar({\g@dirloopedgeA{#1}}{\g@dirloopedgeB{#1}} +} +% +\def\g@dirloopedgeA#1(#2,#3)(#4,#5){ + \@ifnextchar[{\g@dirloopedgeAa{#1}(#2,#3)(#4,#5)}% + {\g@dirloopedgeAa{#1}(#2,#3)(#4,#5)[]} +} +% +\def\g@dirloopedgeAa#1(#2,#3)(#4,#5)[#6]{ + \g@extendlist\g@edges{\g@drawdirloopedgeA{#1}(#2,#3)(#4,#5)[#6]} +} +% +% The actual drawing routine: +% +\def\g@drawdirloopedgeA#1(#2,#3)(#4,#5)[#6]{% + \g@testname{#1}% + \edef\g@coords{\g@nodecoords{#1}}% + % + % Choose the drawing procedure for the arrow according + % to the node's type: + % + \edef\g@type{\g@nodetype{#1}}% + \ifnum\g@circletype=\g@type% + \let\g@draw=\ps@looparrowoncircleA% + \else% + \let\g@draw=\ps@looparrowonrectangleA% + \ifnum\g@rectangletype=\g@type% + \else% + \typeout{}% + \typeout{Error in \string\g@drawdirloopedge: unrecognized node type}%% + \fi% + \fi% + \edef\g@args{(#2,#3)(#4,#5)\g@thenodesize{#1}}% + % + % and draw it: + % + {#6% + \expandafter\put\g@coords{\expandafter\g@draw\g@args}% + }% +} +% +% +%_________________________________________________________________%% +% Definition of a directed loop - the second form: +% +% Arguments: +% +% Node that carries the loop +% Angle the two lines defining the loop build +% Coordinates (x,y) that give the axis along which the loop is +% to be drawn and its length (ie, the length of the two lines +% defining the loop). +%_________________________________________________________________%% +% +\def\g@dirloopedgeB#1#2(#3,#4){ + \@ifnextchar[{\g@dirloopedgeBa{#1}{#2}(#3,#4)}% + {\g@dirloopedgeBa{#1}{#2}(#3,#4)[]} +} +% +\def\g@dirloopedgeBa#1#2(#3,#4)[#5]{ + \g@extendlist\g@edges{\g@drawdirloopedgeB{#1}{#2}(#3,#4)[#5]} +} +% +% The actual drawing routine: +% +\def\g@drawdirloopedgeB#1#2(#3,#4)[#5]{% + \g@testname{#1}% + \edef\g@coords{\g@nodecoords{#1}}% + % + % Choose the drawing procedure for the arrow according + % to the node's type: + % + \edef\g@type{\g@nodetype{#1}}% + \ifnum\g@circletype=\g@type% + \let\g@draw=\ps@looparrowoncircleB% + \else% + \let\g@draw=\ps@looparrowonrectangleB% + \ifnum\g@rectangletype=\g@type% + \else% + \typeout{}% + \typeout{Error in \string\g@drawdirloopedge: unrecognized node type}%% + \fi% + \fi% + \edef\g@args{{#2}(#3,#4)\g@thenodesize{#1}}% + % + % and draw it: + % + {#5% + \expandafter\put\g@coords{\expandafter\g@draw\g@args}% + }% +} +% +% +%_________________________________________________________________%% +% Automatic positioning of a node's text +% (This one sets \opaquetextfalse if it's not enforced by the optional +% parameter!): +% +% Arguments: +% +% Node +% Optional (surrounded by []): n, s, e, w, ne, nw, se, sw (for north, +% south, east, west, ...) indicating the position of the text +% with respect to the node. If omitted, the text is centered +% inside the node. +% Text (=anything that may occur as a \put argument in a picture +% environment, i.e., even lines, vectors, and so on.) +%_________________________________________________________________%% +% +\g@test{autonodetext} +\def\autonodetext#1{ + \@ifnextchar[{\g@autonodetext{#1}}{\g@autonodetext{#1}[]} +} +% +\def\g@autonodetext#1[#2]#3{ + \@ifnextchar[{\g@autonodetextopt{#1}{#3}[#2]}% + {\g@autonodetextopt{#1}{#3}[#2][]} +} +% +\def\g@rootofahalf{.70710678}% square root of 0.5 +% +\def\g@autonodetextopt#1#2[#3][#4]{ + \def\g@doit##1##2##3;{ + \def\g@xdisplace{0}\def\g@ydisplace{0}\def\g@torb{,0]}\def\g@lorr{[0} + \def\g@xdisplacec{0}\def\g@ydisplacec{0} + \if##2. + \if##1s\def\g@ydisplace{-1}\def\g@torb{,-1]}\else + \if##1n\def\g@ydisplace{1}\def\g@torb{,1]}\else + \if##1e\def\g@xdisplace{1}\def\g@lorr{[1}\else + \if##1w\def\g@xdisplace{-1}\def\g@lorr{[-1}\fi\fi\fi\fi + \edef\g@xdisplacec{\g@xdisplace}\edef\g@ydisplacec{\g@ydisplace} + \else + \if##1s\def\g@ydisplace{-1}\def\g@torb{,-1]} + \def\g@ydisplacec{-\g@rootofahalf}\else + \if##1n\def\g@ydisplace{1}\def\g@torb{,1]} + \def\g@ydisplacec{\g@rootofahalf}\else + \if##1e\def\g@xdisplace{1}\def\g@lorr{[1} + \def\g@xdisplacec{\g@rootofahalf}\else + \if##1w\def\g@xdisplace{-1}\def\g@lorr{[-1} + \def\g@xdisplacec{-\g@rootofahalf}\fi\fi\fi\fi + \if##2e\def\g@xdisplace{1}\def\g@lorr{[1} + \def\g@xdisplacec{\g@rootofahalf}\else + \if##2w\def\g@xdisplace{-1}\def\g@lorr{[-1} + \def\g@xdisplacec{-\g@rootofahalf} + \fi\fi + \fi + \edef\g@values{% + {(\g@xdisplacec,\g@ydisplacec)}{\g@lorr\g@torb}{% + (\g@xdisplace,\g@ydisplace)}% + } + \expandafter\g@extendtextsauto\g@values{#1}{#2}[#4]} + \g@doit#3...;} +% +% +\def\g@extendtextsauto#1#2#3#4#5[#6]{ + \g@extendlist\g@texts{\g@putautotext{#1}{#2}{#3}{#4}{#5}[#6]} +} +% +% The actual drawing routine: +% +\def\g@putautotext#1#2#3#4#5[#6]{% + \g@testname{#4}% + \edef\g@coords{\g@nodecoords{#4}}% + \edef\g@type{\g@nodetype{#4}}% + \edef\g@size{\g@thenodesize{#4}}% + \ifnum\g@circletype=\g@type% + \def\g@draw{\g@xyput#1}% + \expandafter\g@getcirclexy\g@size% + \else% + \def\g@draw{\g@xyput#3}% + \expandafter\g@getrectanglexy\g@size% + \ifnum\g@rectangletype=\g@type% + \else% + \typeout{}% + \typeout{Error in \string\putautotext: unrecognized node type}% + \fi% + \fi% + \expandafter\put\g@coords{% + \opaquetextfalse #6% + \g@textsize{#5}% + \g@xunitlength=\g@autodistance\g@xunitlength\divide\g@xunitlength by 2% + \g@yunitlength=\g@autodistance\g@yunitlength\divide\g@yunitlength by 2% + \ifopaquetext% + \g@draw{\expandafter\g@makeautotext\g@thetextsize% + #2{\expandafter\ps@deletebox\g@thetextsize}}% + \fi% + \g@draw{\expandafter\g@makeautotext\g@thetextsize% + #2{\makebox(0,0){#5}}}% + }% +}% +% +\def\g@getcirclexy[#1]{ + \g@xunitlength=#1\unitlength\relax + \g@yunitlength=\g@xunitlength\relax +} +% +\def\g@getrectanglexy[#1,#2]{ + \g@xunitlength=#1\unitlength\relax + \g@yunitlength=#2\unitlength\relax +} +% +\newcount\g@xpos +\newcount\g@ypos +\def\g@makeautotext(#1,#2)[#3,#4]#5{% + \g@oldunitlength=\unitlength% + \g@xpos=#1\divide\g@xpos by 2\multiply\g@xpos by #3\relax% + \g@ypos=#2\divide\g@ypos by 2\multiply\g@ypos by #4\relax% + \unitlength=1sp% + \edef\g@positions{(\number\g@xpos,\number\g@ypos)}% + \expandafter\put\g@positions{\unitlength=\g@oldunitlength{#5}}% +}% +% +% +%_________________________________________________________________%% +% Definition of a node's text: +% +% Arguments: +% +% Node +% Relative coordinates of the text (optional). +% Text is centered horizontally and vertically at this position. +% (Use a \makebox(0,0)[...]{Text} construction to disable the +% centering if necessary.) +% Omitting the optinal argument means the same as (0,0). +% Text (=anything that may occur as a \put argument in a picture +% environment, i.e., even lines, vectors, and so on.) +%_________________________________________________________________%% +% +\g@test{nodetext} +\def\nodetext#1{ + \@ifnextchar({\g@nodetext{#1}}{\g@nodetext{#1}(0,0)} +} +\def\g@nodetext#1(#2,#3)#4{ + \@ifnextchar[{\g@nodetextb{#1}(#2,#3){#4}}% + {\g@nodetextb{#1}(#2,#3){#4}[]} +} +% +\def\g@nodetextb#1(#2,#3)#4[#5]{ + \g@extendlist\g@texts{\g@putnodetext{#1}(#2,#3){#4}[#5]} +} +% +% The actual drawing routine: +% +\def\g@putnodetext#1(#2,#3)#4[#5]{% + \g@testname{#1}% + \edef\g@coords{\g@nodecoords{#1}}% + \expandafter\put\g@coords{% + #5% + \ifopaquetext% + \g@textsize{#4}% + \put(#2,#3){\expandafter\ps@deletebox\g@thetextsize}% + \fi% + \put(#2,#3){\makebox(0,0){#4}}% + }% +} +% +% +%_________________________________________________________________%% +% Definition of an edge's text (for straight edges only): +% +% Arguments: +% +% Both nodes incident with the edge in question +% Text (=anything that may occur as a \put argument in a picture +% environment, i.e., even lines, vectors, and so on.) +%_________________________________________________________________%% +% +\g@test{edgetext} +\def\edgetext#1#2#3{ + \@ifnextchar[{\g@edgetext{#1}{#2}{#3}}% + {\g@edgetext{#1}{#2}{#3}[]} +} +% +\def\g@edgetext#1#2#3[#4]{ + \g@extendlist\g@texts{\g@putedgetext{#1}{#2}{#3}[#4]} +} +% +% The actual drawing routine: +% +\def\g@putedgetext#1#2#3[#4]{% + \g@testname{#1}\g@testname{#2}% + \g@differentpositions{#1}{#2}{\edgetext{#1}{#2}...}% + \edef\g@firstcoords{\g@nodecoords{#1}}% + \edef\g@secondcoords{\g@nodecoords{#2}}% + {% + #4% + \g@textsize{#3}% + \g@oldunitlength=\unitlength% + \divide\unitlength by 2% + \expandafter\put\g@firstcoords{% + \ifopaquetext% + \expandafter\put\g@secondcoords{% + \expandafter\ps@deletebox\g@thetextsize% + }% + \fi% + \expandafter\put\g@secondcoords{% + \unitlength=\g@oldunitlength% + \makebox(0,0){#3}% + }% + }% + }% +} +% +% +%_________________________________________________________________%% +% Definition of a bow's text: +% +% Arguments: +% +% Both nodes and displacement factor defining the bow in question +% Text (=anything that may occur as a \put argument in a picture +% environment, i.e., even lines, vectors, and so on.) +%_________________________________________________________________%% +% +\g@test{bowtext} +\def\bowtext#1#2#3#4{ + \@ifnextchar[{\g@bowtext{#1}{#2}{#3}{#4}}% + {\g@bowtext{#1}{#2}{#3}{#4}[]} +} +% +\def\g@bowtext#1#2#3#4[#5]{ + \g@extendlist\g@texts{\g@putbowtext{#1}{#2}{#3}{#4}[#5]} +} +% +% The actual drawing routine: +% +\newdimen\g@x +\newdimen\g@y +\newdimen\g@aux +\def\g@putbowtext#1#2#3#4[#5]{% + \g@testname{#1}\g@testname{#2}% + \g@differentpositions{#1}{#2}{\bowtext{#1}{#2}...}% + \def\g@doit(##1,##2)(##3,##4){% + {#5% + \g@textsize{#4}% + \g@oldunitlength=\unitlength% + \unitlength=.5\unitlength% + % + % Compute the difference of coordinates: + % + \g@x=##3\g@oldunitlength\g@aux=##1\g@oldunitlength% + \advance\g@x by -\g@aux\g@x=#3\g@x% + \g@y=##4\g@oldunitlength\g@aux=##2\g@oldunitlength% + \advance\g@y by -\g@aux\g@y=#3\g@y% + \g@y=-\g@y% + \edef\g@thirdcoords{(\number\g@y,\number\g@x)}% + \put(##1,##2){% + \ifopaquetext% + \put(##3,##4){% + \unitlength=1sp% + \expandafter\put\g@thirdcoords{% + \expandafter\ps@deletebox\g@thetextsize% + }% + }% + \fi% + \put(##3,##4){% + \unitlength=1sp% + \expandafter\put\g@thirdcoords{% + \unitlength=\g@oldunitlength% + \makebox(0,0){#4}% + }% + }% + }}% + }% + \edef\g@firstcoords{\g@nodecoords{#1}}% + \edef\g@secondcoords{\g@nodecoords{#2}}% + % + % Expand both arguments before executing \g@doit: + % + \expandafter\expandafter\expandafter% + \g@doit\expandafter\g@firstcoords\g@secondcoords% +} +% +% +%_________________________________________________________________%% +% Definition of free text: +% +% Arguments: +% +% Absolute coordinates of the text. (Text is centered horizontally +% and vertically at this position. Use a +% \makebox(0,0)[...]{Text} construction to disable the +% centering if necessary.) +% Text (=anything that may occur as a \put argument in a picture +% environment, i.e., even lines, vectors, and so on.) +%_________________________________________________________________%% +% +\g@test{freetext} +\def\freetext(#1,#2)#3{ + \@ifnextchar[{\g@freetext(#1,#2){#3}}% + {\g@freetext(#1,#2){#3}[]} +} +% +\def\g@freetext(#1,#2)#3[#4]{ + \g@extendlist\g@texts{\g@putfreetext(#1,#2){#3}[#4]} +} +% +% The actual drawing routine: +% +\def\g@putfreetext(#1,#2)#3[#4]{% + {#4% + \ifopaquetext% + \g@textsize{#3}% + \put(#1,#2){\expandafter\ps@deletebox\g@thetextsize}% + \fi% + \put(#1,#2){\makebox(0,0){#3}}% + }% +} +% +% +%_________________________________________________________________%% +% Definition of a (perhaps filled) area: +% +% Arguments: +% +% Absolute coordinates of the starting point +% Sequence of pairs (x_i,y_i) or triples (x_i,y_i,d_i) where the +% (x_i,y_i) are absolute coordinates of the next segment's +% end point and d_i is the displacement factor of the midpoint +% relative to the length of the segment. A positive number +% means the segment extends to the left. +%_________________________________________________________________%% +% +\g@test{area} +\def\area(#1,#2)#3{ + \@ifnextchar[{\g@area(#1,#2){#3}}% + {\g@area(#1,#2){#3}[]} +} +% +\def\g@area(#1,#2)#3[#4]{ + \g@extendlist\g@specialeffects{\g@putarea(#1,#2){#3}[#4]} +} +% +% The actual drawing routine: +% +\def\g@putarea(#1,#2)#3[#4]{% + {#4% + \put(0,0){\ps@path(#1,#2){#3}}% + }% +} +% +% For reasons of compatibility with older versions: +\g@test{filledarea}\def\filledarea{\area} +% +% +%_________________________________________________________________%% +% Definition of a (perhaps filled) Bezier curve: +% +% Arguments: +% +% Normal distance of control points from points of the curve, +% in multiples of the segment length. +% Sequence of triples (x_i,y_i,alpha_i), and and optional +% [factora_i,factorb_i]) after each of the triples: +% (x_i,y_i) is a point on the curve, alpha_i is the angle +% between the x-axis and the line through (x_i,y_i) and the +% next control point (the previous control point lies opposite), +% and factora_i (factorb_i) is overwrites the first argument +% for the two control points between two points. +%_________________________________________________________________%% +% +\g@test{curve} +\def\curve#1#2{ + \@ifnextchar[{\g@curve{#1}{#2}}% + {\g@curve{#1}{#2}[]} +} +% +\def\g@curve#1#2[#3]{ + \g@extendlist\g@specialeffects{\g@putcurve{#1}{#2}[#3]} +} +% +% The actual drawing routine: +% +\def\g@putcurve#1#2[#3]{% + {#3% + \put(0,0){\ps@curve{#1}{#2}}% + }% +} +% +% +%_________________________________________________________________%% +% Definition of a (perhaps filled) Bezier ``bubble'': +% +% Arguments: +% +% Normal distance (in multiples of unitlength) of control points +% in multiples of segment length. +% Sequence of points (x_i,y_i). +%_________________________________________________________________%% +% +\g@test{bubble} +\def\bubble#1#2{ + \@ifnextchar[{\g@bubble{#1}{#2}}% + {\g@bubble{#1}{#2}[]} +} +% +\def\g@bubble#1#2[#3]{ + \g@extendlist\g@specialeffects{\g@putbubble{#1}{#2}[#3]} +} +% +% The actual drawing routine: +% +\def\g@putbubble#1#2[#3]{% + {#3% + \put(0,0){\ps@bubble{#1}{#2}}% + }% +} +% +% +% +% +% +%_________________________________________________________________%% +%_________________________________________________________________%% +%_________________________________________________________________%% +% The rest consists of auxiliary macros used above: +%_________________________________________________________________%% +%_________________________________________________________________%% +%_________________________________________________________________%% +% +% +% +%_________________________________________________________________%% +% Globally extend a list by another item. +% +% Replaces the definition of the macro #1 by the expansion of #1 +% immediately followed by #2. +%_________________________________________________________________%% +% +\def\g@extendlist#1#2{ + \expandafter\def\expandafter#1\expandafter{#1#2} +} +% +% +%_________________________________________________________________%% +% Give the different attributes of a node. +%_________________________________________________________________%% +% +\def\g@nodecoords#1{% + \csname g@xy@#1\endcsname% +} +\def\g@nodetype#1{% + \csname g@type@#1\endcsname% +} +\def\g@thenodesize#1{% + \csname g@size@#1\endcsname% +} +\def\g@testname#1{% + \@ifundefined{g@name@#1}{% + \typeout{}% + \typeout{! Graph package error: node #1 undefined!}% + \typeout{}% + \errmessage{}% + }{}% +} +% +% +%_________________________________________________________________%% +% Give the difference between coordinate pairs the second and +% third argument expand to and define the first as the result. +%_________________________________________________________________%% +% +\def\g@defcoorddiff#1#2#3{ + \edef#1{% Expand both arguments before expanding \g@coorddiff: + \expandafter\expandafter\expandafter\g@coorddiff\expandafter#2#3} +} +% +\def\g@coorddiff(#1,#2)(#3,#4){(#3 #1 sub, #4 #2 sub) +} +% +% +%_________________________________________________________________%% +% Find out the size of a box and add \g@eboxes. +%_________________________________________________________________%% +% +\newdimen\g@heightplusdepth +\newdimen\g@width +\def\g@textsize#1{ + \setbox0=\hbox{#1} + \g@heightplusdepth=\ht0 + \advance\g@heightplusdepth by\dp0 + \advance\g@heightplusdepth by\g@eboxes\unitlength + \g@width=\wd0 + \advance\g@width by\g@eboxes\unitlength + \edef\g@thetextsize{% + (\number\g@width,\number\g@heightplusdepth)% + } +} +% +% +%_________________________________________________________________%% +% Save the information about a node in appropriate macros +% (one macro to treat round and square nodes, one for +% rectangular nodes, and one for text nodes): +%_________________________________________________________________%% +% +\def\g@node#1#2(#3,#4)[#5]{ + \g@nodedef{g@name@#1}{} + { + #5 + \xdef\g@auxnodesize{\g@nsize} + } + \g@nodedef{g@xy@#1}{(#3,#4)} + \g@nodedef{g@type@#1}{#2} + \ifx\g@rectangletype#2 + \g@nodedef{g@size@#1}{[\g@auxnodesize,\g@auxnodesize]} + \else + \g@nodedef{g@size@#1}{[\g@auxnodesize]} + \fi +} +% +\def\g@noderect#1[#2,#3](#4,#5){ + \g@nodedef{g@name@#1}{} + \g@nodedef{g@xy@#1}{(#4,#5)} + \g@nodedef{g@type@#1}{\g@rectangletype} + \g@nodedef{g@size@#1}{[#2,#3]} +} +% +\def\g@nodebytext#1(#2,#3)#4[#5]{ + \g@nodedef{g@name@#1}{} + \g@nodedef{g@xy@#1}{(#2,#3)} + \g@nodedef{g@type@#1}{\g@rectangletype} + {#5 + \g@textsize{#4} + \expandafter\g@findsize\g@thetextsize + } + \g@nodedef{g@size@#1}{\g@auxtextsize} +} +% +\def\g@nodedef#1#2{\expandafter\edef\csname #1\endcsname{#2}} +% +% +% +%_________________________________________________________________%% +% Compare the coordinates of nodes and give an error message if they +% coincide. (Used to prevent the definition of edges of length 0.) +%_________________________________________________________________%% +% +% +\def\g@differentpositions#1#2#3{% + \edef\g@firstname{#1}% + \edef\g@secondname{#2}% + \ifx\g@firstname\g@secondname% + \typeout{}% + \typeout{! Graph package error: Node #1 used twice + in \string#3.}% + \typeout{}% + \errmessage{} + \else + \edef\g@firstposition{\g@nodecoords{#1}}% + \edef\g@secondposition{\g@nodecoords{#2}}% + \ifx\g@firstposition\g@secondposition% + \typeout{}% + \typeout{! Graph package error: Coordinates of nodes + #1 and #2 in}% + \typeout{\string#3 coincide.}% + \typeout{}% + \errmessage{} + \fi% + \fi% +} +% +% +% +%_________________________________________________________________%% +% Nasty procedure to compute the necessary size of the node. We need +% something that computes +% textdimension / \unitlength + 2 * \g@lwidth +% with high precision. So we can't simply use the \divide macro of +% TeX (yielding an integer value), but must explicitely construct a +% number showing some (I chose three) digits after the period. +% (I don't know whether there's a more elegant way of doing this. +% Sorry to anybody who might be bothered.) +%_________________________________________________________________%% +% +% +\newcount\g@xsizeA +\newcount\g@xsizeB +\newcount\g@ysizeA +\newcount\g@ysizeB +\newcount\g@help +\newdimen\g@helpB +\def\g@findsize(#1,#2){ + \g@xsizeA=#1\relax + \g@helpB=\g@lwidth\unitlength\multiply\g@helpB by 2\relax + \advance\g@xsizeA by \g@helpB\relax + \g@xsizeB=\g@xsizeA + \divide\g@xsizeA by\unitlength\relax + \g@help=\unitlength\multiply\g@help by -\g@xsizeA\relax + \advance\g@xsizeB by \g@help\relax + \g@help=\unitlength\advance\g@help by 999\divide\g@help by 1000 + \multiply\g@help by 1000 + \advance\g@xsizeB by \g@help\relax + \divide\g@help by 1000 + \divide\g@xsizeB by \g@help + % + \g@ysizeA=#2\relax + \advance\g@ysizeA by \g@helpB\relax + \g@ysizeB=\g@ysizeA + \divide\g@ysizeA by\unitlength\relax + \g@help=\unitlength\multiply\g@help by -\g@ysizeA\relax + \advance\g@ysizeB by \g@help\relax + \g@help=\unitlength\advance\g@help by 999\divide\g@help by 1000 + \multiply\g@help by 1000 + \advance\g@ysizeB by \g@help\relax + \divide\g@help by 1000 + \divide\g@ysizeB by \g@help + \xdef\g@auxtextsize{% + [\expandafter\g@mkpoint\number\g@xsizeB;{\number\g@xsizeA},% + \expandafter\g@mkpoint\number\g@ysizeB;{\number\g@ysizeA}]} +} +% +\def\g@mkpoint#1#2;#3{ + #3.#2 +} +% +% +%_________________________________________________________________%% +% \put with separated x- and y-\unitlengths +% (modified definition from LaTeX): +%_________________________________________________________________%% +% +\newdimen\g@xunitlength\g@xunitlength=\unitlength +\newdimen\g@yunitlength\g@yunitlength=\unitlength +\long\def\g@xyput(#1,#2)#3{\@killglue\raise#2\g@yunitlength\hbox to\z@{\kern +#1\g@xunitlength #3\hss}\ignorespaces} diff --git a/nlsop/graphs_config.tex b/nlsop/graphs_config.tex new file mode 100644 index 0000000..ea0ada6 --- /dev/null +++ b/nlsop/graphs_config.tex @@ -0,0 +1 @@ +\special{header=/home/frank-z/work/lectures/latex/nlsop/graphs.header} diff --git a/nlsop/graphs_ps.tex b/nlsop/graphs_ps.tex new file mode 100644 index 0000000..2dfd3f9 --- /dev/null +++ b/nlsop/graphs_ps.tex @@ -0,0 +1,266 @@ +% `special' commands for version 1.53 of graphs.sty. Frank Drewes, 19.12.2000 + +\def\ps@s{ } +\def\ps@convertnum#1{ + #1 \number\unitlength\ps@s mul 65536 div 72.27 div 72 mul +} + +%-----------------------------------------------------------------------------% + + +\def\ps@rectangle[#1,#2]{% width, height +\special{" \ps@convertnum{#1} + \ps@convertnum{#2} + [ \g@ncolour\ps@s\g@ncolourmod ]\ps@s + [ \g@lcolour\ps@s\g@lcolourmod ]\ps@s + \ps@convertnum{\g@lwidth}\g@lwidthmod\ps@s + \g@ldash\ps@s + \iffillednodes true \else false\fi\ps@s + psrectangle}} + +%-----------------------------------------------------------------------------% + +\def\ps@circle[#1]{% diameter +\special{" \ps@convertnum{#1} + [ \g@ncolour\ps@s\g@ncolourmod ]\ps@s + [ \g@lcolour\ps@s\g@lcolourmod ]\ps@s + \ps@convertnum{\g@lwidth}\g@lwidthmod\ps@s + \g@ldash\ps@s + \iffillednodes true \else false\fi\ps@s + pscircle}} + +%-----------------------------------------------------------------------------% + +\def\ps@line(#1,#2){% end x, end y +\special{" \ps@convertnum{#1} + \ps@convertnum{#2} + \ps@convertnum{\g@lwidth}\g@lwidthmod\ps@s + [ \g@lcolour\ps@s\g@lcolourmod ]\ps@s + \g@ldash\ps@s + psline}} + +%-----------------------------------------------------------------------------% + +\def\ps@loopA(#1,#2)(#3,#4){% from (#1,#2) to (#3,#4) +\special{" \ps@convertnum{#1} + \ps@convertnum{#2} + \ps@convertnum{#3} + \ps@convertnum{#4} + [ \g@lcolour\ps@s\g@lcolourmod ]\ps@s + \ps@convertnum{\g@lwidth}\g@lwidthmod\ps@s + \g@ldash\ps@s + psloop}} + +%-----------------------------------------------------------------------------% + +\def\ps@loopB#1(#2,#3){% angle #1, axis (#2,#3) +\special{" #1 + \ps@convertnum{#2} + \ps@convertnum{#3} + psloopbyangle + [ \g@lcolour\ps@s\g@lcolourmod ]\ps@s + \ps@convertnum{\g@lwidth}\g@lwidthmod\ps@s + \g@ldash\ps@s + psloop}} + +%-----------------------------------------------------------------------------% + +\def\ps@looparrowonrectangleA(#1,#2)(#3,#4)[#5,#6]{% +\special{" \ps@convertnum{#1} + \ps@convertnum{#2} + \ps@convertnum{#3} + \ps@convertnum{#4} + \ps@convertnum{#5} + \ps@convertnum{#6} + [ \g@lcolour\ps@s\g@lcolourmod ]\ps@s + \ps@convertnum{\g@lwidth}\g@lwidthmod\ps@s + \g@ldash\ps@s + \ps@convertnum{\g@alength}\g@alengthmod\ps@s + \g@awidth\ps@s\g@awidthmod\ps@s + \g@atype\ps@s + pslooparrowonrectangle}} + +%-----------------------------------------------------------------------------% + +\def\ps@looparrowoncircleA(#1,#2)(#3,#4)[#5]{% +\special{" \ps@convertnum{#1} + \ps@convertnum{#2} + \ps@convertnum{#3} + \ps@convertnum{#4} + \ps@convertnum{#5} + [ \g@lcolour\ps@s\g@lcolourmod ]\ps@s + \ps@convertnum{\g@lwidth}\g@lwidthmod\ps@s + \g@ldash\ps@s + \ps@convertnum{\g@alength}\g@alengthmod\ps@s + \g@awidth\ps@s\g@awidthmod\ps@s + \g@atype\ps@s + pslooparrowoncircle}} + +%-----------------------------------------------------------------------------% + +\def\ps@looparrowonrectangleB#1(#2,#3)[#4,#5]{% +\special{" #1 + \ps@convertnum{#2} + \ps@convertnum{#3} + psloopbyangle + \ps@convertnum{#4} + \ps@convertnum{#5} + [ \g@lcolour\ps@s\g@lcolourmod ]\ps@s + \ps@convertnum{\g@lwidth}\g@lwidthmod\ps@s + \g@ldash\ps@s + \ps@convertnum{\g@alength}\g@alengthmod\ps@s + \g@awidth\ps@s\g@awidthmod\ps@s + \g@atype\ps@s + pslooparrowonrectangle}} + +%-----------------------------------------------------------------------------% + +\def\ps@looparrowoncircleB#1(#2,#3)[#4]{% +\special{" #1 + \ps@convertnum{#2} + \ps@convertnum{#3} + psloopbyangle + \ps@convertnum{#4} + [ \g@lcolour\ps@s\g@lcolourmod ]\ps@s + \ps@convertnum{\g@lwidth}\g@lwidthmod\ps@s + \g@ldash\ps@s + \ps@convertnum{\g@alength}\g@alengthmod\ps@s + \g@awidth\ps@s\g@awidthmod\ps@s + \g@atype\ps@s + pslooparrowoncircle}} + +%-----------------------------------------------------------------------------% + +\def\ps@deletebox(#1,#2){% width, height in scaled points +\special{" #1 65536 div + #2 65536 div + psdeletebox}} + +%-----------------------------------------------------------------------------% + +\def\ps@arrowonrectangle(#1,#2) [#3,#4]{% x, y, width, height +\special{" \ps@convertnum{#1} + \ps@convertnum{#2} + \ps@convertnum{#3} + \ps@convertnum{#4} + \ps@convertnum{\g@alength}\g@alengthmod\ps@s + \g@awidth\ps@s\g@awidthmod\ps@s + \g@atype\ps@s + [ \g@lcolour\ps@s\g@lcolourmod ]\ps@s + \ps@convertnum{\g@lwidth}\g@lwidthmod\ps@s + \g@ldash\ps@s + psarrowonrectangle}} + +%-----------------------------------------------------------------------------% + +\def\ps@arrowoncircle(#1,#2) [#3]{% x, y, diameter of circle +\special{" \ps@convertnum{#1} + \ps@convertnum{#2} + \ps@convertnum{#3} + \ps@convertnum{\g@alength}\g@alengthmod\ps@s + \g@awidth\ps@s\g@awidthmod\ps@s + \g@atype\ps@s + [ \g@lcolour\ps@s\g@lcolourmod ]\ps@s + \ps@convertnum{\g@lwidth}\g@lwidthmod\ps@s + \g@ldash\ps@s + psarrowoncircle}} + +%-----------------------------------------------------------------------------% + +\def\ps@path(#1,#2)#3{% start coordinates, (xi,yi[,di]) ... + \def\extractvalues(##1)##2;{% + \ifx\endmarker##1\else% + \extractvalues##2;\extractvals(##1,0,)% + \fi}% + \def\extractvals(##1,##2,##3,##4){% + \ps@convertnum{##1}% + \ps@convertnum{##2}% + ##3% + }% + \special{" mark \extractvalues#3(\endmarker); + \ps@convertnum{#1} + \ps@convertnum{#2} + \ps@convertnum{\g@lwidth}\g@lwidthmod\ps@s + [ \g@lcolour\ps@s\g@lcolourmod ]\ps@s + \g@ldash\ps@s + [ \g@fcolour\ps@s\g@fcolourmod ]\ps@s + \iffilledareas true \else false\fi\ps@s pspath}} + +%-----------------------------------------------------------------------------% + +\def\ps@curve#1#2{% base length, (x1,y1,ang1[factor1]) ... + \def\extractvalues(##1(##2;##3{% + \ifx\endmarker##1\else% + \extractvalues(##2;{##3}\extractvals(##1[##3,##3];% + \fi}% + \def\extractvals(##1,##2,##3)[##4,##5]##6;{% + ##5\ps@s + ##4\ps@s + ##3\ps@s + \ps@convertnum{##2}% + \ps@convertnum{##1}% + }% + \special{" mark \extractvalues#2(\endmarker(;{#1} + \ps@convertnum{\g@lwidth}\g@lwidthmod\ps@s + [ \g@lcolour\ps@s\g@lcolourmod ]\ps@s + \g@ldash\ps@s + [ \g@fcolour\ps@s\g@fcolourmod ]\ps@s + \iffilledareas true \else false\fi\ps@s pscurve}} + +%-----------------------------------------------------------------------------% + +\def\ps@bubble#1#2{% length factor, (x1,y1) ... + \def\extractvalues(##1)##2;{% + \ifx\endmarker##1\else% + \extractvalues##2;\extractvals(##1)% + \fi}% + \def\extractvals(##1,##2){% + \ps@convertnum{##2}% + \ps@convertnum{##1}% + }% + \special{" mark \extractvalues#2(\endmarker); + #1\ps@s + \ps@convertnum{\g@lwidth}\g@lwidthmod\ps@s + [ \g@lcolour\ps@s\g@lcolourmod ]\ps@s + \g@ldash\ps@s + [ \g@fcolour\ps@s\g@fcolourmod ]\ps@s + \iffilledareas true \else false\fi\ps@s psbubble}} + +%-----------------------------------------------------------------------------% + +\def\ps@dirbowoncircle(#1,#2)(#3,#4,#5)[#6]{% (x1,x2) (y1,y2,d), radius +\special{" \ps@convertnum{#1} + \ps@convertnum{#2} + \ps@convertnum{#3} + \ps@convertnum{#4} + #5\ps@s + \ps@convertnum{#6} + \ps@convertnum{\g@alength}\g@alengthmod\ps@s + \g@awidth\ps@s\g@awidthmod\ps@s + \g@atype\ps@s + \ps@convertnum{\g@lwidth}\g@lwidthmod\ps@s + [ \g@lcolour\ps@s\g@lcolourmod ]\ps@s + \g@ldash\ps@s + psdirbowoncircle}} + +%-----------------------------------------------------------------------------% + +\def\ps@dirbowonrectangle(#1,#2)(#3,#4,#5)[#6,#7]{% (x1,x2) (y1,y2,d), + % xsize, ysize +\special{" \ps@convertnum{#1} + \ps@convertnum{#2} + \ps@convertnum{#3} + \ps@convertnum{#4} + #5\ps@s + \ps@convertnum{#6} + \ps@convertnum{#7} + \ps@convertnum{\g@alength}\g@alengthmod\ps@s + \g@awidth\ps@s\g@awidthmod\ps@s + \g@atype\ps@s + \ps@convertnum{\g@lwidth}\g@lwidthmod\ps@s + [ \g@lcolour\ps@s\g@lcolourmod ]\ps@s + \g@ldash\ps@s + psdirbowonrectangle}} + +%-----------------------------------------------------------------------------% + diff --git a/nlsop/nlsop_fb_bericht.tex b/nlsop/nlsop_fb_bericht.tex index 908951b..0f162ce 100644 --- a/nlsop/nlsop_fb_bericht.tex +++ b/nlsop/nlsop_fb_bericht.tex @@ -10,11 +10,11 @@ \usepackage{graphicx} \graphicspath{{./img/}} -\usepackage{graphs} +\usepackage{./graphs} \author{Frank Zirkelbach} -\title{Nanolamellare Selbstordnungsproze"se bei Kohlenstoffimplantation in Silizium} +\title{Nanolamellare Selbstordnungsprozesse bei Kohlenstoffimplantation in $(100)$-orientiertes Silizium bei Temperaturen kleiner $400$ Grad Celsius} \begin{document} \frontmatter @@ -35,12 +35,72 @@ foobar ... \section{Ablaufschema} \originalTeX -\begin{graph}(4,4) - \textnode{start}(2,4){nlsop start} - \textnode{rand1}(2,3){zufaellige wahl der Koordinaten: \newline $p(x)dx=dx$ \newline $p(y)dy=dy$ \newline $p(z)dz=(a_el*z+b_el)dz$} +\begin{figure}[thbp] +\begin{center} +\begin{graph}(8,30) + \graphnodecolour{1} + \textnode{start}(4,30){nlsop start} + \rectnode{rand1}[6,3](4,27.5) + \freetext(4,28.5){zufaellige Wahl der Koordinaten:} + \freetext(4,27.5){$p(x)dx=dx$} + \freetext(4,27){$p(y)dy=dy$} + \freetext(4,26.5){$p(z)dz=(a_{el}*z+b_{el})dz$} \diredge{start}{rand1} + \rectnode{p_ac_ca}[9,3](4,23.5) + \freetext(4,24.5){Berechnung der $p_{a \rightarrow c}$ bzw. $p_{c \rightarrow a}$:} + \freetext(4,23.5){$\displaystyle p_{c \rightarrow a}=\sum_{amorphe Nachbarn} \frac{a_{ap}}{\textrm{Abstand}^2} + b_{ap} + a_{cp}c_{\textrm{Kohlenstoff}}$} + \freetext(4,22.5){$\displaystyle p_{a \rightarrow c}=1-p_{c \rightarrow a}$} + \diredge{rand1}{p_ac_ca} + \textnode{ac}(4,21){Zelle $(x,y,z)$ amorph?} + \diredge{p_ac_ca}{ac} + \textnode{d_c}(2,19.5){Zufallszahl $< p_{a \rightarrow c}$ ?} + \textnode{d_a}(6,19.5){Zufallszahl $< p_{c \rightarrow a}$ ?} + \diredge{ac}{d_a} + \edgetext{ac}{d_a}{nein} + \diredge{ac}{d_c} + \edgetext{ac}{d_c}{ja} + \textnode{amount_c}(4,16.5){$\textrm{gesamter Kohlenstoff} < \textrm{steps} * c_{ratio}$ ?} + \diredge{d_c}{amount_c} + \diredge{d_a}{amount_c} + \textnode{make_c}(1,18){Zelle $(x,y,z) = \textrm{kristallin}$} + \textnode{make_a}(7,18){Zelle $(x,y,z) = \textrm{amorph}$} + \diredge{d_c}{make_c} + \edgetext{d_c}{make_c}{ja} + \diredge{d_a}{make_a} + \edgetext{d_a}{make_a}{ja} + \diredge{make_c}{amount_c} + \diredge{make_a}{amount_c} + \rectnode{rand2}[5,3](1.5,14) + \freetext(1.5,15){zufaellige Koordinaten:} + \freetext(1.5,14){$p(x)dx=dx$} + \freetext(1.5,13.5){$p(y)dy=dy$} + \freetext(1.5,13){$p(z)dz=(a_{cd}*z+b_{cd})dz$} + \diredge{amount_c}{rand2} + \freetext(3,16){ja} + \rectnode{inc_c}[5,1.5](1.5,11) + \freetext(1.5,11){Erhoehe $c_{Kohlenstoff}(x,y,z)$} + \freetext(1.5,10.5){Erhoehe gesamten Kohlenstoff} + \diredge{rand2}{inc_c} + \textnode{d_d}(5,9.5){Diffusion} + \diredge{inc_c}{d_d} + \diredge{amount_c}{d_d} + \edgetext{amount_c}{d_d}{nein} \end{graph} +\end{center} \germanTeX +\caption{ablaufschema} +\end{figure} + +\begin{figure}[thpb] +\begin{center} +\begin{graph}(8,30) + \graphnodecolour{1} + \textnode{start}(4,30){Diffusion} +\end{graph} +\end{center} +\germanTeX +\caption{ablaufschema 2} +\end{figure}