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function []=plot_graph(g,rep,rep1)
//This function plot a graph with multiple arcs in the Scilab graphic window
//with the orientation of arcs
//It uses the data of the list defining the graph
// Copyright INRIA
[lhs,rhs]=argn(0)
// g
check_graph(g)
// rep and rep1
if rhs==1 then
// use menu to choose parameters
l1=list('Frame definition',1,['Automatic','Given']);
l2=list('Plotting arrows',2,['yes','no']);
l3=list('Plotting sink and source nodes',1,['yes','no']);
l4=list('Plotting node names',1,['yes','no']);
l5=list('Plotting node labels',2,['yes','no']);
l6=list('Plotting arc names ',2,['yes','no']);
l7=list('Plotting arc labels',2,['yes','no']);
l8=list('Plotting node demand',2,['yes','no']);
l9=list('Plotting edge length',2,['yes','no']);
l10=list('Plotting edge cost',2,['yes','no']);
l11=list('Plotting edge min cap',2,['yes','no']);
l12=list('Plotting edge max cap',2,['yes','no']);
l13=list('Plotting edge weight',2,['yes','no']);
rep=x_choices('PARAMETERS OF THE PLOT',list(l1,l2,l3,l4,l5,l6,l7,l8,l9,l10,l11,l12,l13));
if (rep==[]) then, return;end;
if (rep(1)==2) then,
rep1=x_mdialog(['Frame definition'],['x-origin of the plot';'y-origine of the plot';'Width of the plot';'Height of the plot'],...
['0','0','600','400']);
end;
else
// use arguments for parameters
if rhs==2 then rep1=[]
elseif rhs<>3 then, error(39); end;
s=size(rep);
if (s(1)<>1|s(2)<>13) then
error('Second argument must be a row vector with size 13')
end
end
if (rep(1)==2) then
cadre=rep1;
if ((size(cadre,2)<>4)|(cadre(3)==0)|(cadre(4)==0)) then
rep(1)=1;
else
orx=cadre(1);ory=cadre(2);wx=cadre(3);hy=cadre(4);
end
end;
n=g('node_number');ma=prod(size(g('tail')));
xnodes=g('node_x');ynodes=g('node_y');
vtail=g('tail');vhead=g('head');v=0*ones(1,ma);
edname=g('edge_name');nodname=g('node_name');
edlabel=g('edge_label');nodlabel=g('node_label');
noddemand=g('node_demand');
edlength=g('edge_length');edcost=g('edge_cost');
edmcap=g('edge_min_cap');edMcap=g('edge_max_cap');
edweight=g('edge_weight');
if (xnodes==[]|ynodes==[]) then
error('Coordinates of nodes needed for plotting');
return;
end
diam=g('default_node_diam'); if diam==[] then diam=20;end;
nodediam=g('node_diam');if nodediam==[] then nodediam=zeros(1,n);end;
ii=find(nodediam==0);nodediam(ii)=diam*ones(ii);ray=0.5*nodediam;
if(rep(1)==1) then,
lim=max(nodediam);
ah=min(xnodes);bh=max(xnodes);
av=min(-ynodes);bv=max(-ynodes);
enx=bh-ah;enx=max(enx,5.*lim);
eny=bv-av;eny=max(eny,5.*lim);
orx=ah+0.09*enx;wx=0.82*enx;
ory=av+0.05*eny;hy=0.9*eny;
end;
xsetech([0,0,1.0,1.0],[orx,ory,orx+wx,ory+hy]);
isoview(orx,orx+wx,ory,ory+hy);
nodecolor=nodediam;
nodeborder=0*ones(1,n);
nodefontsize=23040.*ones(1,n);
// DEFINITION OF NODE PLOT
metarcs=[xnodes-ray;-ynodes+ray;nodecolor;nodediam;nodeborder;nodefontsize];
xset("use color",1);
ncolor=g('node_color');
if ncolor==[] then ncolor=0*ones(1,n);end;
spp=0*ones(n,n);
for i=1:ma
ii=vtail(i); kk=vhead(i);
spp(ii,kk)=spp(ii,kk)+1; at=spp(ii,kk)+spp(kk,ii)+0;v(i)=at;
end
// PLOT OF STRAIGHT ARCS
edgecolor=g('edge_color');if edgecolor==[] then edgecolor=1*ones(1,ma);end;
ii=find(edgecolor==0);edgecolor(ii)=1*ones(ii);
for i=1:ma
if v(i)==1 then
x1=xnodes(vtail(i));x2=xnodes(vhead(i));
y1=ynodes(vtail(i));y2=ynodes(vhead(i));
txx(1,1)=x1;txx(2,1)=x2;
tyy(1,1)=-y1;tyy(2,1)=-y2;
xpolys(txx,tyy,edgecolor(i));
enorm=sqrt((x2-x1)**2+(y2-y1)**2);
if enorm < 0.0000001 then enorm=1.;end;
lsin=(x2-x1)/enorm;lcos=(y2-y1)/enorm;
x1m=x1+0.5*(x2-x1)-6*lsin;y1m=y1+0.5*(y2-y1)-6*lcos;
x1mm=x1m-6*lcos;y1mm=y1m+6*lsin;
x2mm=x1m+6*lcos;y2mm=y1m-6*lsin;
x3mm=x1m+12*lsin;y3mm=y1m+12*lcos;
fr(1,1)=x1mm;fr(2,1)=x3mm;fr(3,1)=x2mm;
gr(1,1)=-y1mm;gr(2,1)=-y3mm;gr(3,1)=-y2mm;
if(rep(2)==1) then
xpolys(fr,gr,edgecolor(i));
end
// edge name or label or ...
towrite=[];
if ((rep(6)==1)|(rep(7)==1)) then
towrite=edname(i);end;
if(rep(7)==1) then, towrite=edlabel(i);end;
if(rep(9)==1) then, towrite=edlength(i);end;
if(rep(10)==1) then, towrite=edcost(i);end;
if(rep(11)==1) then, towrite=edmcap(i);end;
if(rep(12)==1) then, towrite=edMcap(i);end;
if(rep(13)==1) then, towrite=edweight(i);end;
if(towrite==[]) then, towrite=' ';end;
xx=x3mm;yy=y3mm;
towrite=string(towrite);
xstring(xx,-yy,towrite);
// end;
end
end;
// PLOT OF CURVED ARCS WITH ARROWS
for i=1:ma
if v(i)<>1 then
ii=vtail(i); kk=vhead(i);
x1=xnodes(ii);y1=ynodes(ii);x2=xnodes(kk);y2=ynodes(kk);
x1p=x1+0.25*(x2-x1);y1p=y1+0.25*(y2-y1);
x2p=x2-0.25*(x2-x1);y2p=y2-0.25*(y2-y1);
iv=v(i);ivv=((-1)**iv)*round(iv/2)*sign(kk-ii);epai=10.*ivv;
enorm=sqrt((x2-x1)**2+(y2-y1)**2);
if enorm < 0.0000001 then enorm=1.;end;
lsin=(x2-x1)/enorm;lcos=(y2-y1)/enorm;
x1m=x1+0.5*(x2-x1)-6*lsin;y1m=y1+0.5*(y2-y1)-6*lcos;
x1pp=x1p-epai*lcos;y1pp=y1p+epai*lsin;
x2pp=x2p-epai*lcos;y2pp=y2p+epai*lsin;
x1m=x1m-epai*lcos;y1m=y1m+epai*lsin;
x1mm=x1m-6*lcos;y1mm=y1m+6*lsin;
x2mm=x1m+6*lcos;y2mm=y1m-6*lsin;
x3mm=x1m+12*lsin;y3mm=y1m+12*lcos;
fr(1,1)=x1mm;fr(2,1)=x3mm;fr(3,1)=x2mm;
gr(1,1)=-y1mm;gr(2,1)=-y3mm;gr(3,1)=-y2mm;
if(rep(2)==1) then,
xpolys(fr,gr,edgecolor(i));end;
ar(1,1)=x1;ar(2,1)=x1pp;ar(3,1)=x2pp;ar(4,1)=x2;
br(1,1)=-y1;br(2,1)=-y1pp;br(3,1)=-y2pp;br(4,1)=-y2;
xpolys(ar,br,edgecolor(i));
// edge name or label or ...
towrite=[];
if ((rep(6)==1)|(rep(7)==1)) then
towrite=edname(i);end;
if(rep(7)==1) then, towrite=edlabel(i);end;
if(rep(9)==1) then, towrite=edlength(i);end;
if(rep(10)==1) then, towrite=edcost(i);end;
if(rep(11)==1) then, towrite=edmcap(i);end;
if(rep(12)==1) then, towrite=edMcap(i);end;
if(rep(13)==1) then, towrite=edweight(i);end;
if(towrite==[]) then, towrite=' ';end;
xx=x3mm;yy=y3mm;
towrite=string(towrite);
xstring(xx,-yy,towrite);
// end;
end
end
// PLOT OF LOOPS
gona=diag(spp);ii=find(gona<>0);kk=size(ii);
for i=1:kk(2)
iii=ii(i); imax=gona(iii);
x1=xnodes(iii);y1=-ynodes(iii); uni=nodediam(iii);
jj=find(vtail==iii & vhead==iii);
for k=1:imax
xup=x1-0.5*uni; h=(k+0.5)*uni; yup=y1+h; icol=jj(k);
metarc=[xup,yup,uni,h,0,23040];
xarcs(metarc',edgecolor(icol));
x1mm=xup-6;x3mm=xup;x2mm=xup+6;
y1mm=y1+0.5*h+12;y3mm=y1+0.5*h;y2mm=y1mm;
fr(1,1)=x1mm;fr(2,1)=x3mm;fr(3,1)=x2mm;
gr(1,1)=y1mm;gr(2,1)=y3mm;gr(3,1)=y2mm;
if(rep(2)==1) then,
xpolys(fr,gr,edgecolor(icol));
end
// edge name or label or ...
towrite=[];
if ((rep(6)==1)|(rep(7)==1)) then
towrite=edname(jj);end;
if(rep(7)==1) then, towrite=edlabel(jj);end;
if(rep(9)==1) then, towrite=edlength(i);end;
if(rep(10)==1) then, towrite=edcost(i);end;
if(rep(11)==1) then, towrite=edmcap(i);end;
if(rep(12)==1) then, towrite=edMcap(i);end;
if(rep(13)==1) then, towrite=edweight(i);end;
if(towrite==[]) then, towrite=' ';end;
xx=x3mm+0.1*uni;yy=y3mm;
towrite=string(towrite);
xstring(xx,yy,towrite);
// end;
end
end
// PLOT OF SINK NODES
if (rep(3)==1) then,
GCD=ncolor;ii=find(GCD==0);GCD(ii)=1*ones(ii);
nodetype=g('node_type');ii=find(nodetype==1);kk=size(ii);
for i=1:kk(2)
iii=ii(i);
x1=xnodes(iii);y1=-ynodes(iii);mesu=nodediam(iii);
xset('pattern',ncolor(iii));
xrect(x1-0.5*mesu,y1-0.5*mesu,mesu,mesu);
ar(1,1)=x1-mesu;ar(2,1)=x1+mesu;ar(3,1)=x1;ar(4,1)=ar(1,1);
br(1,1)=y1-1.5*mesu;br(2,1)=br(1,1);br(3,1)=y1-2.5*mesu;br(4,1)=br(1,1);
xpolys(ar,br,GCD(iii));
end;
// PLOT OF SOURCE NODES
ii=find(nodetype==2);kk=size(ii);
for i=1:kk(2)
iii=ii(i);
mesu=nodediam(iii);x1=xnodes(iii);y1=-ynodes(iii)+3*mesu;
xset('pattern',ncolor(iii));
xrect(x1-0.5*mesu,y1-0.5*mesu,mesu,mesu);
ar(1,1)=x1-mesu;ar(2,1)=x1+mesu;ar(3,1)=x1;ar(4,1)=ar(1,1);
br(1,1)=y1-1.5*mesu;br(2,1)=br(1,1);br(3,1)=y1-2.5*mesu;br(4,1)=br(1,1);
xpolys(ar,br,GCD(iii));
end;
end;
// FINAL PLOT OF PLAIN NODES
whid=xget("lastpattern")+2;
whin=whid*ones(1,size(ncolor,2));
xfarcs(metarcs,whin);
xarcs(metarcs,ncolor);
// PLOT OF NAMES OR LABELS
if ((rep(4)==1)|(rep(5)==1)|(rep(8)==1)) then,
for i=1:n,
towrite=nodname(i);
if(rep(5)==1) then, towrite=nodlabel(i);end;
if(rep(8)==1) then, towrite=string(noddemand(i));end;
if(towrite==[]) then, towrite=' ';end;
towrite=string(towrite);
xstring(xnodes(i)-ray(i)/2,-ynodes(i)-ray(i)/2,towrite);
end;
end;
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