1847 lines
36 KiB
C
1847 lines
36 KiB
C
/*
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* Scyther : An automatic verifier for security protocols.
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* Copyright (C) 2007-2012 Cas Cremers
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*
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* This program is free software; you can redistribute it and/or
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* modify it under the terms of the GNU General Public License
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* as published by the Free Software Foundation; either version 2
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* of the License, or (at your option) any later version.
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*
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* This program is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with this program; if not, write to the Free Software
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* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
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*/
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#include <stdlib.h>
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#include <limits.h>
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#include "system.h"
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#include "switches.h"
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#include "arachne.h"
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#include "binding.h"
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#include "depend.h"
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#include "type.h"
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#include "debug.h"
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#include "error.h"
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#include "specialterm.h"
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#include "cost.h"
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extern Protocol INTRUDER; // Pointers, to be set by the Init of arachne.c
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extern Role I_M; // Same here.
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extern Role I_RRS;
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extern Role I_RRSD;
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#define INVALID -1
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#define isGoal(rd) (rd->type == RECV && !rd->internal)
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#define isBound(rd) (rd->bound)
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#define length step
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#define CLAIMTEXTCOLOR "#ffffff"
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#define CLAIMCOLOR "#000000"
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#define GOODCOMMCOLOR "forestgreen"
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#define INTRUDERCOLORH 18.0
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#define INTRUDERCOLORL 0.65
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#define INTRUDERCOLORS 0.9
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#define RUNCOLORL1 0.90
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#define RUNCOLORL2 0.65
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#define RUNCOLORH1 (INTRUDERCOLORH + 360 - 10.0)
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#define RUNCOLORH2 (INTRUDERCOLORH + 10.0)
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#define RUNCOLORS1 0.8
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#define RUNCOLORS2 0.6
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#define RUNCOLORDELTA 0.2 // maximum hue delta between roles (0.2): smaller means role colors of a protocol become more similar.
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#define RUNCOLORCONTRACT 0.8 // contract from protocol edges: smaller means more distinction between protocols.
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#define UNTRUSTEDCOLORS 0.4
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#define CHOOSEWEIGHT "2.0"
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#define RUNWEIGHT "10.0"
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//#define CHOOSEWEIGHT "1.0"
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//#define RUNWEIGHT "1.0"
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/*
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* Dot output
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*
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*
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* The algorithm itself is not very complicated; because the semi-bundles have
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* bindings etcetera, a graph can be draw quickly and efficiently.
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*
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* Interesting issues:
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*
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* Binding annotations are only drawn if they don't connect with regular
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* events, and when the item does not occur in any previous binding, it might
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* be connected to the initial intruder knowledge.
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*
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* Color management is quite involved. We draw identical protocols in similar
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* color schemes. A color scheme is a gradient between two colors, evenly
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* spread over all the runs.
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*/
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static System sys = NULL;
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/*
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* code
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*/
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//! Is this term chosen by the intruder?
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int
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isIntruderChoice (const Term t)
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{
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if (realTermLeaf (t))
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{
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if (TermRunid (t) >= sys->maxruns)
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{
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// Chosen by intruder
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// However, if it is a rolename, this is not really what we mean
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if (!(t->roleVar || isAgentType (t->stype)))
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{
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// Not a role variable, and chosen by the intruder: that's it
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return true;
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}
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}
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}
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return false;
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}
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//! Print the run identifier in some meaningful way
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void
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printVisualRunID (int rid)
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{
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int run;
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int displayi;
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int displayr;
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int display;
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if (rid < sys->maxruns)
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{
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// < sys->maxruns means normal thing (not from makeTraceConcrete)
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displayi = 0;
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displayr = 0;
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for (run = 0; run < rid; run++)
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{
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if (sys->runs[run].protocol != INTRUDER)
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{
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displayr++;
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}
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else
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{
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displayi++;
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}
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}
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if (sys->runs[rid].protocol == INTRUDER)
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{
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display = sys->maxruns + displayi + 1;
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}
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else
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{
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display = displayr + 1;
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}
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eprintf ("#%i", display);
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}
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else
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{
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eprintf ("%i", (rid - sys->maxruns + 1));
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}
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}
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void
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printVisualRun (const Term t)
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{
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if (isIntruderChoice (t))
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{
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eprintf ("Intruder");
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}
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printVisualRunID (TermRunid (t));
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}
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//! Remap term stuff
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void
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termPrintRemap (const Term t)
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{
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termPrintCustom (t, "", "", "(", ")", "\\{ ", " \\}", printVisualRun);
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}
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//! Remap term list
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void
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termlistPrintRemap (Termlist tl, char *sep)
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{
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while (tl != NULL)
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{
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termPrintRemap (tl->term);
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tl = tl->next;
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if (tl != NULL)
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{
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eprintf ("%s", sep);
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}
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}
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}
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//! Print a term; if it is a variable, show that
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void
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explainVariable (Term t)
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{
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t = deVar (t);
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if (realTermVariable (t))
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{
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eprintf ("any ");
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if (t->roleVar)
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{
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eprintf ("agent ");
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}
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termPrintRemap (t);
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if (!t->roleVar)
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{
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if (switches.match == 0 && t->stype != NULL)
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{
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Termlist tl;
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eprintf (" of type ");
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for (tl = t->stype; tl != NULL; tl = tl->next)
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{
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termPrintRemap (tl->term);
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if (tl->next != NULL)
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{
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eprintf (",");
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}
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}
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}
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}
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}
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else
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{
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termPrintRemap (t);
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}
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}
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//! Name of intruder node
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void
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intruderNodeM0 (void)
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{
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eprintf ("intruder");
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}
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//! Draw node
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void
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node (const System sys, const int run, const int index)
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{
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if (sys->runs[run].protocol == INTRUDER)
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{
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if (sys->runs[run].role == I_M)
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{
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intruderNodeM0 ();
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}
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else
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{
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eprintf ("ri%i", run);
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}
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}
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else
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{
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eprintf ("r%ii%i", run, index);
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}
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}
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//! Draw arrow
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void
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arrow (const System sys, Binding b)
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{
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node (sys, b->run_from, b->ev_from);
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eprintf (" -> ");
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node (sys, b->run_to, b->ev_to);
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}
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//! Redirect node
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void
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redirNode (const System sys, Binding b)
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{
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eprintf ("redir_");
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node (sys, b->run_from, b->ev_from);
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node (sys, b->run_to, b->ev_to);
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}
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//! Roledef draw
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void
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roledefDraw (Roledef rd)
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{
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void optlabel (void)
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{
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Term label;
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label = rd->label;
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if (label != NULL)
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{
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if (realTermTuple (label))
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{
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label = TermOp2 (label);
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}
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eprintf ("_");
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termPrintRemap (label);
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}
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}
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if (rd->type == RECV)
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{
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eprintf ("recv");
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optlabel ();
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eprintf (" from ");
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termPrintRemap (rd->from);
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eprintf ("\\n");
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termPrintRemap (rd->message);
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}
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if (rd->type == SEND)
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{
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eprintf ("send");
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optlabel ();
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eprintf (" to ");
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termPrintRemap (rd->to);
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eprintf ("\\n");
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termPrintRemap (rd->message);
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}
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if (rd->type == CLAIM)
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{
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eprintf ("claim");
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optlabel ();
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eprintf ("\\n");
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termPrintRemap (rd->to);
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if (rd->message != NULL)
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{
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eprintf (" : ");
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termPrintRemap (rd->message);
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}
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}
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}
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//! Choose term node
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void
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chooseTermNode (const Term t)
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{
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eprintf ("CHOOSE");
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{
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char *rsbuf;
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rsbuf = RUNSEP;
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RUNSEP = "x";
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termPrint (t);
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RUNSEP = rsbuf;
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}
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}
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//! Value for hlsrgb conversion
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static double
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hlsValue (double n1, double n2, double hue)
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{
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if (hue > 360.0)
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hue -= 360.0;
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else if (hue < 0.0)
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hue += 360.0;
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if (hue < 60.0)
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return n1 + (n2 - n1) * hue / 60.0;
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else if (hue < 180.0)
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return n2;
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else if (hue < 240.0)
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return n1 + (n2 - n1) * (240.0 - hue) / 60.0;
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else
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return n1;
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}
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//! hls to rgb conversion
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void
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hlsrgbreal (int *r, int *g, int *b, double h, double l, double s)
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{
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double m1, m2;
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int bytedouble (double d)
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{
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double x;
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x = 255.0 * d;
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if (x <= 0)
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return 0;
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else if (x >= 255.0)
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return 255;
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else
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return (int) x;
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}
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while (h >= 360.0)
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h -= 360.0;
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while (h < 0)
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h += 360.0;
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m2 = (l <= 0.5) ? (l * (l + s)) : (l + s - l * s);
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m1 = 2.0 * l - m2;
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if (s == 0.0)
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{
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*r = *g = *b = bytedouble (l);
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}
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else
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{
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*r = bytedouble (hlsValue (m1, m2, h + 120.0));
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*g = bytedouble (hlsValue (m1, m2, h));
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*b = bytedouble (hlsValue (m1, m2, h - 120.0));
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}
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}
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//! hls to rgb conversion
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/**
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* Secretly takes the monochrome switch into account
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*/
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void
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hlsrgb (int *r, int *g, int *b, double h, double l, double s)
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{
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double closer (double l, double factor)
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{
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return l + ((1.0 - l) * factor);
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}
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if (switches.monochrome)
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{
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// No colors
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s = 0;
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h = 0;
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}
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if (switches.lightness > 0)
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{
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// correction switch for lightness
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if (switches.lightness == 100)
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{
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l = 1.0;
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}
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else
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{
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l = closer (l, ((double) switches.lightness / 100.0));
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}
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}
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// convert
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hlsrgbreal (r, g, b, h, l, s);
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}
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//! print color from h,l,s triplet
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void
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printColor (double h, double l, double s)
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{
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int r, g, b;
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hlsrgb (&r, &g, &b, h, l, s);
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eprintf ("#%02x%02x%02x", r, g, b);
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}
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//! Set local buffer with the correct color for this run.
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/**
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* Determines number of protocols, shifts to the right color pair, and colors
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* the run within the current protocol in the fade between the color pair.
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*
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* This can be done much more efficiently by computing these colors once,
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* instead of each time again for each run. However, this is not a
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* speed-critical section so this will do just nicely.
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*/
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void
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setRunColorBuf (const System sys, int run, char *colorbuf)
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{
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int range;
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int index;
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double protoffset, protrange;
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double roleoffset, roledelta;
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double color;
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double h, l, s;
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int r, g, b;
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// help function: contract roleoffset, roledelta with a factor (<= 1.0)
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void contract (double factor)
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{
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roledelta = roledelta * factor;
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roleoffset = (roleoffset * factor) + ((1.0 - factor) / 2.0);
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}
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// determine #protocol, resulting in two colors
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{
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Termlist protocols;
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Term refprot;
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int r;
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int firstfound;
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protocols = NULL;
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refprot = sys->runs[run].protocol->nameterm;
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index = 0;
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range = 1;
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firstfound = false;
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for (r = 0; r < sys->maxruns; r++)
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{
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if (sys->runs[r].protocol != INTRUDER)
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{
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Term prot;
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prot = sys->runs[r].protocol->nameterm;
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if (!isTermEqual (prot, refprot))
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{
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// Some 'other' protocol
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if (!inTermlist (protocols, prot))
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{
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// New other protocol
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protocols = termlistAdd (protocols, prot);
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range++;
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if (!firstfound)
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{
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index++;
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}
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}
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}
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else
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{
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// Our protocol
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firstfound = true;
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}
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}
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}
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termlistDelete (protocols);
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}
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// Compute protocol offset [0.0 ... 1.0>
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protrange = 1.0 / range;
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protoffset = index * protrange;
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// We now now our range, and we can determine which role this one is.
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{
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Role rr;
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int done;
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range = 0;
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index = 0;
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done = false;
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for (rr = sys->runs[run].protocol->roles; rr != NULL; rr = rr->next)
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{
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if (sys->runs[run].role == rr)
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{
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done = true;
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}
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else
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{
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if (!done)
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{
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index++;
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}
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}
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range++;
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}
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}
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// Compute role offset [0.0 ... 1.0]
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if (range <= 1)
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{
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roledelta = 0.0;
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roleoffset = 0.5;
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}
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else
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{
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// range over 0..1
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roledelta = 1.0 / (range - 1);
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roleoffset = index * roledelta;
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// Now this can result in a delta that is too high (depending on protocolrange)
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if (protrange * roledelta > RUNCOLORDELTA)
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{
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contract (RUNCOLORDELTA / (protrange * roledelta));
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}
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}
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// We slightly contract the colors (taking them away from protocol edges)
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contract (RUNCOLORCONTRACT);
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// Now we can convert this to a color
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color = protoffset + (protrange * roleoffset);
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h = RUNCOLORH1 + color * (RUNCOLORH2 - RUNCOLORH1);
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l = RUNCOLORL1 + color * (RUNCOLORL2 - RUNCOLORL1);
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s = RUNCOLORS1 + color * (RUNCOLORS2 - RUNCOLORS1);
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// If the run is not trusted, we lower the saturation significantly
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if (!isRunTrusted (sys, run))
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{
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s = UNTRUSTEDCOLORS;
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}
|
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|
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// set to buffer
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hlsrgb (&r, &g, &b, h, l, s);
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sprintf (colorbuf, "#%02x%02x%02x", r, g, b);
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|
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// compute second color (light version)
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/*
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l += 0.07;
|
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if (l > 1.0)
|
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l = 1.0;
|
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*/
|
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hlsrgb (&r, &g, &b, h, l, s);
|
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sprintf (colorbuf + 8, "#%02x%02x%02x", r, g, b);
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}
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|
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//! Communication status
|
|
int
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isCommunicationExact (const System sys, Binding b)
|
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{
|
|
Roledef rd1, rd2;
|
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|
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rd1 = eventRoledef (sys, b->run_from, b->ev_from);
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rd2 = eventRoledef (sys, b->run_to, b->ev_to);
|
|
|
|
if (!isTermEqual (rd1->message, rd2->message))
|
|
{
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return false;
|
|
}
|
|
if (!isTermEqual (rd1->from, rd2->from))
|
|
{
|
|
return false;
|
|
}
|
|
if (!isTermEqual (rd1->to, rd2->to))
|
|
{
|
|
return false;
|
|
}
|
|
if (!isTermEqual (rd1->label, rd2->label))
|
|
{
|
|
return false;
|
|
}
|
|
return true;
|
|
}
|
|
|
|
//! Ignore some events
|
|
/**
|
|
* Used only in graph drawing. Return true to ignore, return false to
|
|
* draw.
|
|
*/
|
|
int
|
|
isEventIgnored (const System sys, int run, int ev)
|
|
{
|
|
Roledef rd;
|
|
|
|
rd = eventRoledef (sys, run, ev);
|
|
if (rd->type == CLAIM)
|
|
{
|
|
// If we are doing a reachability analysis, show all
|
|
if (isTermEqual (sys->current_claim->type, CLAIM_Reachable))
|
|
{
|
|
return false;
|
|
}
|
|
// If the claim type is commit, we also show running claims
|
|
if (isTermEqual (sys->current_claim->type, CLAIM_Commit)
|
|
|| isTermEqual (sys->current_claim->type, CLAIM_Reachable))
|
|
{
|
|
if (isTermEqual (rd->claiminfo->type, CLAIM_Running))
|
|
{
|
|
return false;
|
|
}
|
|
}
|
|
// Remaining cases: only active claim is shown
|
|
if (run == 0)
|
|
{
|
|
if (ev == sys->current_claim->ev)
|
|
{
|
|
return false;
|
|
}
|
|
}
|
|
return true;
|
|
}
|
|
return false;
|
|
}
|
|
|
|
//! Check whether an event is a function application
|
|
int
|
|
isApplication (const System sys, const int run)
|
|
{
|
|
if (sys->runs[run].protocol == INTRUDER)
|
|
{
|
|
if (sys->runs[run].role == I_RRS)
|
|
{
|
|
Roledef rd;
|
|
|
|
rd = sys->runs[run].start->next;
|
|
if (rd != NULL)
|
|
{
|
|
if (isTermFunctionName (rd->message))
|
|
{
|
|
return true;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
return false;
|
|
}
|
|
|
|
//! Is an event enabled by M0 only?
|
|
int
|
|
isEnabledM0 (const System sys, const int run, const int ev)
|
|
{
|
|
List bl;
|
|
|
|
for (bl = sys->bindings; bl != NULL; bl = bl->next)
|
|
{
|
|
Binding b;
|
|
|
|
b = (Binding) bl->data;
|
|
if (!b->blocked)
|
|
{
|
|
// if the binding is not done (class choice) we might
|
|
// still show it somewhere.
|
|
if (b->done)
|
|
{
|
|
if (b->run_to == run && b->ev_to == ev)
|
|
{
|
|
if (sys->runs[b->run_from].role != I_M)
|
|
{
|
|
return false;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
return true;
|
|
}
|
|
|
|
//! Check whether the event is an M_0 function application (special case of the previous)
|
|
int
|
|
isApplicationM0 (const System sys, const int run)
|
|
{
|
|
if (sys->runs[run].length > 1)
|
|
{
|
|
if (isApplication (sys, run))
|
|
{
|
|
if (isEnabledM0 (sys, run, 0))
|
|
{
|
|
if (isEnabledM0 (sys, run, 1))
|
|
{
|
|
return true;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
return false;
|
|
}
|
|
|
|
//! Determine ranks for all nodes
|
|
/**
|
|
* Some crude algorithm I sketched on the blackboard.
|
|
*/
|
|
int
|
|
graph_ranks (int *ranks, int nodes)
|
|
{
|
|
int done;
|
|
int rank;
|
|
int changes;
|
|
|
|
int getrank (int run, int ev)
|
|
{
|
|
return ranks[eventNode (run, ev)];
|
|
}
|
|
|
|
void setrank (int run, int ev, int rank)
|
|
{
|
|
ranks[eventNode (run, ev)] = rank;
|
|
}
|
|
|
|
#ifdef DEBUG
|
|
if (hasCycle ())
|
|
{
|
|
error ("Graph ranks tried, but a cycle exists!");
|
|
}
|
|
#endif
|
|
|
|
{
|
|
int i;
|
|
|
|
for (i = 0; i < nodes; i++)
|
|
{
|
|
ranks[i] = INT_MAX;
|
|
}
|
|
}
|
|
|
|
rank = 0;
|
|
done = false;
|
|
changes = true;
|
|
while (!done)
|
|
{
|
|
int checkCanEventHappenNow (int run, Roledef rd, int ev)
|
|
{
|
|
//if (sys->runs[run].protocol != INTRUDER)
|
|
{
|
|
if (getrank (run, ev) == INT_MAX)
|
|
{
|
|
// Allright, this regular event is not assigned yet
|
|
int precevent (int run2, int ev2)
|
|
{
|
|
//if (sys->runs[run2].protocol != INTRUDER)
|
|
{
|
|
// regular preceding event
|
|
int rank2;
|
|
|
|
rank2 = getrank (run2, ev2);
|
|
if (rank2 > rank)
|
|
{
|
|
// higher rank, this cannot be done
|
|
return false;
|
|
}
|
|
if (rank2 == rank)
|
|
{
|
|
// equal rank: only if different run
|
|
if ((sys->runs[run].protocol != INTRUDER)
|
|
&& (run2 == run))
|
|
{
|
|
return false;
|
|
}
|
|
}
|
|
}
|
|
return true;
|
|
}
|
|
|
|
if (iteratePrecedingEvents (sys, precevent, run, ev))
|
|
{
|
|
// we can do it!
|
|
changes = true;
|
|
setrank (run, ev, rank);
|
|
}
|
|
else
|
|
{
|
|
done = false;
|
|
}
|
|
}
|
|
}
|
|
return true;
|
|
}
|
|
|
|
|
|
if (!changes)
|
|
{
|
|
rank++;
|
|
if (rank >= nodes)
|
|
{
|
|
warning ("Rank %i increased to the number of nodes %i.", rank,
|
|
nodes);
|
|
return rank;
|
|
}
|
|
}
|
|
done = true;
|
|
changes = false;
|
|
iterateAllEvents (sys, checkCanEventHappenNow);
|
|
}
|
|
return rank;
|
|
}
|
|
|
|
//! Display the ranks
|
|
/**
|
|
* Reinstated after it had been gone for a while
|
|
*/
|
|
void
|
|
showRanks (const System sys, const int maxrank, const int *ranks,
|
|
const int nodes)
|
|
{
|
|
int rank;
|
|
|
|
//return;
|
|
|
|
for (rank = 0; rank <= maxrank; rank++)
|
|
{
|
|
int found;
|
|
int run;
|
|
|
|
found = 0;
|
|
for (run = 0; run < sys->maxruns; run++)
|
|
{
|
|
if (sys->runs[run].protocol != INTRUDER)
|
|
{
|
|
int ev;
|
|
|
|
for (ev = 0; ev < sys->runs[run].step; ev++)
|
|
{
|
|
if (!isEventIgnored (sys, run, ev))
|
|
{
|
|
|
|
int n;
|
|
|
|
n = eventNode (run, ev);
|
|
if (ranks[n] == rank)
|
|
{
|
|
if (found == 0)
|
|
{
|
|
eprintf ("\t{ rank = same; ");
|
|
}
|
|
node (sys, run, ev);
|
|
eprintf ("; ");
|
|
found++;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
if (found > 0)
|
|
{
|
|
eprintf ("}\n");
|
|
}
|
|
}
|
|
}
|
|
|
|
//! Does a term occur in a run?
|
|
int
|
|
termOccursInRun (Term t, int run)
|
|
{
|
|
Roledef rd;
|
|
int e;
|
|
|
|
rd = sys->runs[run].start;
|
|
e = 0;
|
|
while (e < sys->runs[run].step)
|
|
{
|
|
if (roledefSubTerm (rd, t))
|
|
{
|
|
return true;
|
|
}
|
|
e++;
|
|
rd = rd->next;
|
|
}
|
|
return false;
|
|
}
|
|
|
|
//! Draw a class choice
|
|
/**
|
|
* \rho classes are already dealt with in the headers, so we should ignore them.
|
|
*/
|
|
void
|
|
drawClass (const System sys, Binding b)
|
|
{
|
|
Term varterm;
|
|
|
|
// now check in previous things whether we saw that term already
|
|
int notSameTerm (Binding b2)
|
|
{
|
|
return (!isTermEqual (varterm, b2->term));
|
|
}
|
|
|
|
varterm = deVar (b->term);
|
|
|
|
// Variable?
|
|
if (!isTermVariable (varterm))
|
|
{
|
|
return;
|
|
}
|
|
|
|
// Agent variable?
|
|
{
|
|
int run;
|
|
|
|
run = TermRunid (varterm);
|
|
if ((run >= 0) && (run < sys->maxruns))
|
|
{
|
|
if (inTermlist (sys->runs[run].rho, varterm))
|
|
{
|
|
return;
|
|
}
|
|
}
|
|
}
|
|
|
|
// Seen before?
|
|
if (!iterate_preceding_bindings (b->run_to, b->ev_to, notSameTerm))
|
|
{
|
|
// We saw the same term before. Exit.
|
|
return;
|
|
}
|
|
|
|
|
|
|
|
|
|
// not seen before: choose class
|
|
eprintf ("\t");
|
|
chooseTermNode (varterm);
|
|
eprintf (" [label=\"");
|
|
explainVariable (varterm);
|
|
eprintf ("\"];\n");
|
|
eprintf ("\t");
|
|
chooseTermNode (varterm);
|
|
eprintf (" -> ");
|
|
node (sys, b->run_to, b->ev_to);
|
|
eprintf (" [weight=\"%s\",arrowhead=\"none\",style=\"dotted\"];\n",
|
|
CHOOSEWEIGHT);
|
|
}
|
|
|
|
//! Print label of a regular->regular transition node (when comm. is not exact)
|
|
/**
|
|
* Note that we ignore any label differences, these are left implicit
|
|
*/
|
|
void
|
|
regularModifiedLabel (Binding b)
|
|
{
|
|
Roledef rdfrom;
|
|
Roledef rdto;
|
|
int unknown;
|
|
|
|
rdfrom = eventRoledef (sys, b->run_from, b->ev_from);
|
|
rdto = eventRoledef (sys, b->run_to, b->ev_to);
|
|
unknown = true;
|
|
|
|
// First up: compare messages contents': what was sent, what is needed
|
|
if (!isTermEqual (rdfrom->message, b->term))
|
|
{
|
|
// What is sent is not equal to what is bound
|
|
if (termInTerm (rdfrom->message, b->term))
|
|
{
|
|
// Interm: simple select
|
|
unknown = false;
|
|
eprintf ("select ");
|
|
termPrintRemap (b->term);
|
|
eprintf ("\\n");
|
|
}
|
|
}
|
|
|
|
// Second: agent things
|
|
if (!isTermEqual (rdfrom->from, rdto->from))
|
|
{
|
|
unknown = false;
|
|
eprintf ("fake sender ");
|
|
termPrintRemap (rdto->from);
|
|
eprintf ("\\n");
|
|
}
|
|
if (!isTermEqual (rdfrom->to, rdto->to))
|
|
{
|
|
unknown = false;
|
|
eprintf ("redirect to ");
|
|
termPrintRemap (rdto->to);
|
|
eprintf ("\\n");
|
|
}
|
|
|
|
// Any leftovers for which I don't have a good name yet.
|
|
if (unknown)
|
|
{
|
|
// I'm not quite sure, we call it 'combine' for now. TODO
|
|
eprintf ("combine\\n");
|
|
}
|
|
}
|
|
|
|
//! Draw a single binding
|
|
void
|
|
drawBinding (const System sys, Binding b)
|
|
{
|
|
int intr_to, intr_from, m0_from;
|
|
|
|
void myarrow (const Binding b)
|
|
{
|
|
if (m0_from)
|
|
{
|
|
eprintf ("\t");
|
|
intruderNodeM0 ();
|
|
eprintf (" -> ");
|
|
node (sys, b->run_to, b->ev_to);
|
|
}
|
|
else
|
|
{
|
|
arrow (sys, b);
|
|
}
|
|
|
|
}
|
|
|
|
intr_from = (sys->runs[b->run_from].protocol == INTRUDER);
|
|
intr_to = (sys->runs[b->run_to].protocol == INTRUDER);
|
|
m0_from = false;
|
|
|
|
// Pruning: things going to M0 applications are pruned;
|
|
if (isApplicationM0 (sys, b->run_to))
|
|
{
|
|
return;
|
|
}
|
|
if (isApplicationM0 (sys, b->run_from) ||
|
|
sys->runs[b->run_from].role == I_M)
|
|
{
|
|
m0_from = true;
|
|
}
|
|
|
|
// Normal drawing cases;
|
|
if (intr_from)
|
|
{
|
|
// from intruder
|
|
/*
|
|
* Because this can be generated many times, it seems
|
|
* reasonable to not duplicate such arrows, especially when
|
|
* they're from M_0. Maybe the others are still relevant.
|
|
*/
|
|
if (1 == 1 || sys->runs[b->run_from].role == I_M)
|
|
{
|
|
// now check in previous things whether we saw that term already
|
|
int notSameTerm (Binding b2)
|
|
{
|
|
return (!isTermEqual (b->term, b2->term));
|
|
}
|
|
|
|
if (!iterate_preceding_bindings (b->run_to, b->ev_to, notSameTerm))
|
|
{
|
|
// We saw the same term before. Exit.
|
|
return;
|
|
}
|
|
}
|
|
|
|
// normal from intruder, not seen before (might be M_0)
|
|
if (intr_to)
|
|
{
|
|
// intr->intr
|
|
eprintf ("\t");
|
|
myarrow (b);
|
|
eprintf (" [label=\"");
|
|
termPrintRemap (b->term);
|
|
eprintf ("\"");
|
|
if (m0_from)
|
|
{
|
|
eprintf (",weight=\"10.0\"");
|
|
}
|
|
eprintf ("]");
|
|
eprintf (";\n");
|
|
}
|
|
else
|
|
{
|
|
// intr->regular
|
|
eprintf ("\t");
|
|
myarrow (b);
|
|
if (m0_from)
|
|
{
|
|
eprintf ("[weight=\"0.5\"]");
|
|
}
|
|
eprintf (";\n");
|
|
}
|
|
}
|
|
else
|
|
{
|
|
// not from intruder
|
|
if (intr_to)
|
|
{
|
|
// regular->intr
|
|
eprintf ("\t");
|
|
myarrow (b);
|
|
eprintf (";\n");
|
|
}
|
|
else
|
|
{
|
|
// regular->regular
|
|
/*
|
|
* Has this been done *exactly* as we hoped?
|
|
*/
|
|
if (isCommunicationExact (sys, b))
|
|
{
|
|
eprintf ("\t");
|
|
myarrow (b);
|
|
eprintf (" [style=bold,color=\"%s\"]", GOODCOMMCOLOR);
|
|
eprintf (";\n");
|
|
}
|
|
else
|
|
{
|
|
// Something was changed, so we call this a redirect
|
|
eprintf ("\t");
|
|
node (sys, b->run_from, b->ev_from);
|
|
eprintf (" -> ");
|
|
redirNode (sys, b);
|
|
eprintf (" -> ");
|
|
node (sys, b->run_to, b->ev_to);
|
|
eprintf (";\n");
|
|
|
|
eprintf ("\t");
|
|
redirNode (sys, b);
|
|
eprintf (" [style=filled,fillcolor=\"");
|
|
printColor (INTRUDERCOLORH, INTRUDERCOLORL, INTRUDERCOLORS);
|
|
eprintf ("\",label=\"");
|
|
regularModifiedLabel (b);
|
|
eprintf ("\"]");
|
|
eprintf (";\n");
|
|
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
//! Draw dependecies (including intruder!)
|
|
/**
|
|
* Returns from_intruder_count (from M_0)
|
|
*/
|
|
int
|
|
drawAllBindings (const System sys)
|
|
{
|
|
List bl;
|
|
List bldone;
|
|
int fromintr;
|
|
|
|
bldone = NULL;
|
|
fromintr = 0;
|
|
for (bl = sys->bindings; bl != NULL; bl = bl->next)
|
|
{
|
|
Binding b;
|
|
|
|
b = (Binding) bl->data;
|
|
if (!b->blocked)
|
|
{
|
|
// if the binding is not done (class choice) we might
|
|
// still show it somewhere.
|
|
if (b->done)
|
|
{
|
|
// Check whether we already drew it
|
|
List bl2;
|
|
int drawn;
|
|
|
|
drawn = false;
|
|
for (bl2 = bldone; bl2 != NULL; bl2 = bl2->next)
|
|
{
|
|
if (same_binding (b, (Binding) bl2->data))
|
|
{
|
|
drawn = true;
|
|
break;
|
|
}
|
|
}
|
|
|
|
if (!drawn)
|
|
{
|
|
// done, draw
|
|
drawBinding (sys, b);
|
|
|
|
// from intruder?
|
|
if (sys->runs[b->run_from].protocol == INTRUDER)
|
|
{
|
|
if (sys->runs[b->run_from].role == I_M)
|
|
{
|
|
fromintr++;
|
|
}
|
|
}
|
|
// Add to drawn list
|
|
bldone = list_add (bldone, b);
|
|
}
|
|
}
|
|
else
|
|
{
|
|
drawClass (sys, b);
|
|
}
|
|
}
|
|
}
|
|
list_destroy (bldone); // bindings list
|
|
return fromintr;
|
|
}
|
|
|
|
//! Print "Alice in role R" of a run
|
|
void
|
|
printAgentInRole (const System sys, const int run)
|
|
{
|
|
Term rolename;
|
|
Term agentname;
|
|
|
|
rolename = sys->runs[run].role->nameterm;
|
|
agentname = agentOfRunRole (sys, run, rolename);
|
|
explainVariable (agentname);
|
|
eprintf (" in role ");
|
|
termPrintRemap (rolename);
|
|
}
|
|
|
|
//! rho, sigma, const
|
|
/*
|
|
* true if it has printed
|
|
*/
|
|
int
|
|
showLocal (const int run, Term told, Term tnew, char *prefix, char *cursep)
|
|
{
|
|
if (realTermVariable (tnew))
|
|
{
|
|
if (termOccursInRun (tnew, run))
|
|
{
|
|
// Variables are mapped, maybe. But then we wonder whether they occur in recvs.
|
|
eprintf (cursep);
|
|
eprintf (prefix);
|
|
termPrintRemap (told);
|
|
eprintf (" -\\> ");
|
|
explainVariable (tnew);
|
|
}
|
|
else
|
|
{
|
|
return false;
|
|
}
|
|
}
|
|
else
|
|
{
|
|
eprintf (cursep);
|
|
eprintf (prefix);
|
|
termPrintRemap (tnew);
|
|
}
|
|
return true;
|
|
}
|
|
|
|
|
|
//! show a list of locals
|
|
/**
|
|
* never ends with the seperator
|
|
*/
|
|
int
|
|
showLocals (const int run, Termlist tlold, Termlist tlnew,
|
|
Term tavoid, char *prefix, char *sep)
|
|
{
|
|
int anything;
|
|
char *cursep;
|
|
|
|
cursep = "";
|
|
anything = false;
|
|
while (tlold != NULL && tlnew != NULL)
|
|
{
|
|
if (!isTermEqual (tlold->term, tavoid))
|
|
{
|
|
if (showLocal (run, tlold->term, tlnew->term, prefix, cursep))
|
|
{
|
|
cursep = sep;
|
|
anything = true;
|
|
}
|
|
}
|
|
tlold = tlold->next;
|
|
tlnew = tlnew->next;
|
|
}
|
|
return anything;
|
|
}
|
|
|
|
//! Explain the local constants
|
|
/**
|
|
* Return true iff something was printed
|
|
*/
|
|
int
|
|
printRunConstants (const System sys, const int run)
|
|
{
|
|
if (sys->runs[run].constants != NULL)
|
|
{
|
|
eprintf ("Const ");
|
|
showLocals (run, sys->runs[run].role->declaredconsts,
|
|
sys->runs[run].constants, NULL, "", ", ");
|
|
eprintf ("\\l");
|
|
return true;
|
|
}
|
|
else
|
|
{
|
|
return false;
|
|
}
|
|
}
|
|
|
|
|
|
//! Explain a run in two lines
|
|
void
|
|
printRunExplanation (const System sys, const int run,
|
|
char *runrolesep, char *newline)
|
|
{
|
|
int hadcontent;
|
|
|
|
eprintf ("Run ");
|
|
printVisualRunID (run);
|
|
|
|
eprintf (runrolesep);
|
|
// Print first line
|
|
printAgentInRole (sys, run);
|
|
eprintf ("\\l");
|
|
|
|
// Second line
|
|
// Possible protocol (if more than one)
|
|
{
|
|
int showprotocol;
|
|
Protocol p;
|
|
int morethanone;
|
|
|
|
// Simple case: don't show
|
|
showprotocol = false;
|
|
|
|
// Check whether the protocol spec has more than one
|
|
morethanone = false;
|
|
for (p = sys->protocols; p != NULL; p = p->next)
|
|
{
|
|
if (p != INTRUDER)
|
|
{
|
|
if (p != sys->runs[run].protocol)
|
|
{
|
|
morethanone = true;
|
|
break;
|
|
}
|
|
}
|
|
}
|
|
|
|
// More than one?
|
|
if (morethanone)
|
|
{
|
|
// This used to work for run 0 always...
|
|
//if (run == 0)
|
|
if (false)
|
|
{
|
|
// If this is run 0 we report the protocol anyway, even is there is only a single one in the attack
|
|
showprotocol = true;
|
|
}
|
|
else
|
|
{
|
|
int r;
|
|
// For other runs we only report when there are multiple protocols
|
|
showprotocol = false;
|
|
for (r = 0; r < sys->maxruns; r++)
|
|
{
|
|
if (sys->runs[r].protocol != INTRUDER)
|
|
{
|
|
if (sys->runs[r].protocol != sys->runs[run].protocol)
|
|
{
|
|
showprotocol = true;
|
|
break;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
// Use the result
|
|
if (showprotocol)
|
|
{
|
|
eprintf ("Protocol ");
|
|
termPrintRemap (sys->runs[run].protocol->nameterm);
|
|
eprintf ("\\l");
|
|
}
|
|
}
|
|
|
|
eprintf (newline);
|
|
hadcontent = false;
|
|
|
|
{
|
|
/*
|
|
* Originally, we ignored the actor in the rho list, but for more than two-party protocols, this was unclear.
|
|
*/
|
|
int numroles;
|
|
int ignoreactor;
|
|
|
|
ignoreactor = false; // set to true to ignore the actor
|
|
numroles = termlistLength (sys->runs[run].rho);
|
|
|
|
if (numroles > 1)
|
|
{
|
|
{
|
|
Term ignoreterm;
|
|
|
|
if (ignoreactor)
|
|
{
|
|
ignoreterm = sys->runs[run].role->nameterm;
|
|
}
|
|
else
|
|
{
|
|
ignoreterm = NULL;
|
|
}
|
|
hadcontent =
|
|
showLocals (run, sys->runs[run].protocol->rolenames,
|
|
sys->runs[run].rho, ignoreterm, "", "\\l");
|
|
}
|
|
}
|
|
}
|
|
|
|
if (hadcontent)
|
|
{
|
|
eprintf ("\\l");
|
|
eprintf (newline);
|
|
hadcontent = false;
|
|
}
|
|
hadcontent = printRunConstants (sys, run);
|
|
|
|
if (sys->runs[run].sigma != NULL)
|
|
{
|
|
if (hadcontent)
|
|
{
|
|
eprintf (newline);
|
|
hadcontent = false;
|
|
}
|
|
if (showLocals
|
|
(run, sys->runs[run].role->declaredvars, sys->runs[run].sigma, NULL,
|
|
"Var ", "\\l"))
|
|
{
|
|
eprintf ("\\l");
|
|
}
|
|
}
|
|
}
|
|
|
|
//! Draw regular runs
|
|
void
|
|
drawRegularRuns (const System sys)
|
|
{
|
|
int run;
|
|
int rcnum;
|
|
char *colorbuf;
|
|
|
|
// two buffers, eight chars each
|
|
colorbuf = malloc (16 * sizeof (char));
|
|
|
|
rcnum = 0;
|
|
for (run = 0; run < sys->maxruns; run++)
|
|
{
|
|
if (sys->runs[run].length > 0)
|
|
{
|
|
if (sys->runs[run].protocol != INTRUDER)
|
|
{
|
|
Roledef rd;
|
|
int index;
|
|
int prevnode;
|
|
int firstnode;
|
|
|
|
rd = sys->runs[run].start;
|
|
// Regular run
|
|
|
|
if (switches.clusters)
|
|
{
|
|
eprintf ("\tsubgraph cluster_run%i {\n", run);
|
|
|
|
eprintf ("\t\tstyle=filled;\n");
|
|
eprintf ("\t\tcolor=lightgrey;\n");
|
|
|
|
eprintf ("\t\tlabel=\"");
|
|
printRunExplanation (sys, run, " : ", "");
|
|
eprintf ("\";\n\n");
|
|
}
|
|
|
|
// set color
|
|
setRunColorBuf (sys, run, colorbuf);
|
|
|
|
// Display the respective events
|
|
prevnode = 0;
|
|
firstnode = true;
|
|
for (index = 0; index < sys->runs[run].length; index++)
|
|
{
|
|
/*
|
|
* invariant: prevnode has been drawn OR firstnode is true
|
|
*/
|
|
if (!isEventIgnored (sys, run, index))
|
|
{
|
|
// Print node itself
|
|
eprintf ("\t\t");
|
|
node (sys, run, index);
|
|
eprintf (" [");
|
|
if (run == 0 && index == sys->current_claim->ev)
|
|
{
|
|
// The claim under scrutiny
|
|
eprintf
|
|
("style=filled,fontcolor=\"%s\",fillcolor=\"%s\",shape=box,",
|
|
CLAIMTEXTCOLOR, CLAIMCOLOR);
|
|
}
|
|
else
|
|
{
|
|
eprintf ("shape=box,style=filled,");
|
|
// print color of this run
|
|
eprintf ("fillcolor=\"%s\",", colorbuf);
|
|
}
|
|
eprintf ("label=\"");
|
|
//roledefPrintShort (rd);
|
|
roledefDraw (rd);
|
|
eprintf ("\"]");
|
|
eprintf (";\n");
|
|
|
|
// Print binding to previous node
|
|
if (firstnode == false)
|
|
{
|
|
// not the first node
|
|
eprintf ("\t\t");
|
|
node (sys, run, prevnode);
|
|
eprintf (" -> ");
|
|
node (sys, run, index);
|
|
eprintf (" [style=\"bold\", weight=\"%s\"]",
|
|
RUNWEIGHT);
|
|
eprintf (";\n");
|
|
}
|
|
else
|
|
{
|
|
// firstnode
|
|
if (!switches.clusters)
|
|
{
|
|
// Draw the first box (HEADER)
|
|
eprintf ("\t\ts%i [label=\"{ ", run);
|
|
|
|
printRunExplanation (sys, run, "\\l", "|");
|
|
// close up
|
|
eprintf ("}\", shape=record");
|
|
eprintf
|
|
(",style=filled,fillcolor=\"%s\"",
|
|
colorbuf + 8);
|
|
eprintf ("];\n");
|
|
eprintf ("\t\ts%i -> ", run);
|
|
node (sys, run, index);
|
|
eprintf
|
|
(" [style=bold, weight=\"%s\"];\n",
|
|
RUNWEIGHT);
|
|
}
|
|
firstnode = false;
|
|
}
|
|
prevnode = index;
|
|
}
|
|
rd = rd->next;
|
|
}
|
|
|
|
if (switches.clusters)
|
|
{
|
|
eprintf ("\t}\n");
|
|
}
|
|
|
|
}
|
|
}
|
|
}
|
|
free (colorbuf);
|
|
}
|
|
|
|
//! Draw intruder runs
|
|
void
|
|
drawIntruderRuns (const System sys)
|
|
{
|
|
int run;
|
|
|
|
if (switches.clusters)
|
|
{
|
|
//eprintf ("\tsubgraph cluster_intruder {\n");
|
|
eprintf ("\tsubgraph intr {\n");
|
|
eprintf ("\t\tlabel = \"Intruder\";\n");
|
|
eprintf ("\t\tcolor = red;\n");
|
|
}
|
|
|
|
for (run = 0; run < sys->maxruns; run++)
|
|
{
|
|
if (sys->runs[run].length > 0)
|
|
{
|
|
if (sys->runs[run].protocol == INTRUDER)
|
|
{
|
|
// Intruder run
|
|
if (sys->runs[run].role != I_M && !isApplicationM0 (sys, run))
|
|
{
|
|
// Not an M_0 run, and not an M0 function application, so we can draw it.
|
|
eprintf ("\t\t");
|
|
node (sys, run, 0);
|
|
eprintf (" [style=filled,fillcolor=\"");
|
|
printColor (INTRUDERCOLORH, INTRUDERCOLORL, INTRUDERCOLORS);
|
|
eprintf ("\",");
|
|
if (sys->runs[run].role == I_RRSD)
|
|
{
|
|
eprintf ("label=\"decrypt\"");
|
|
}
|
|
if (sys->runs[run].role == I_RRS)
|
|
{
|
|
// Distinguish function application
|
|
if (isTermFunctionName
|
|
(sys->runs[run].start->next->message))
|
|
{
|
|
eprintf ("label=\"apply\"");
|
|
}
|
|
else
|
|
{
|
|
eprintf ("label=\"encrypt\"");
|
|
}
|
|
}
|
|
eprintf ("];\n");
|
|
}
|
|
}
|
|
}
|
|
}
|
|
if (switches.clusters)
|
|
{
|
|
eprintf ("\t}\n\n");
|
|
}
|
|
}
|
|
|
|
//! Display the current semistate using dot output format.
|
|
/**
|
|
* This is not as nice as we would like it. Furthermore, the function is too big.
|
|
*/
|
|
void
|
|
dotSemiState (const System mysys)
|
|
{
|
|
static int attack_number = 0;
|
|
Protocol p;
|
|
int *ranks;
|
|
int maxrank;
|
|
int from_intruder_count;
|
|
int nodes;
|
|
|
|
sys = mysys;
|
|
|
|
// Open graph
|
|
attack_number++;
|
|
eprintf ("digraph semiState%i {\n", attack_number);
|
|
eprintf ("\tlabel = \"[Id %i] Protocol ", sys->attackid);
|
|
p = (Protocol) sys->current_claim->protocol;
|
|
termPrintRemap (p->nameterm);
|
|
eprintf (", role ");
|
|
termPrintRemap (sys->current_claim->rolename);
|
|
eprintf (", claim type ");
|
|
termPrintRemap (sys->current_claim->type);
|
|
// For debugging:
|
|
eprintf (", cost %i", computeAttackCost (sys));
|
|
eprintf ("\";\n");
|
|
|
|
// Needed for the bindings later on: create graph
|
|
|
|
nodes = nodeCount ();
|
|
ranks = malloc (nodes * sizeof (int));
|
|
maxrank = graph_ranks (ranks, nodes); // determine ranks
|
|
|
|
#ifdef DEBUG
|
|
if (DEBUGL (1))
|
|
{
|
|
// For debugging purposes, we also display an ASCII version of some stuff in the comments
|
|
printSemiState ();
|
|
// Even draw all dependencies for non-intruder runs
|
|
// Real nice debugging :(
|
|
int run;
|
|
|
|
run = 0;
|
|
while (run < sys->maxruns)
|
|
{
|
|
int ev;
|
|
|
|
ev = 0;
|
|
while (ev < sys->runs[run].length)
|
|
{
|
|
int run2;
|
|
int notfirstrun;
|
|
|
|
eprintf ("// precedence: r%ii%i <- ", run, ev);
|
|
run2 = 0;
|
|
notfirstrun = 0;
|
|
while (run2 < sys->maxruns)
|
|
{
|
|
int notfirstev;
|
|
int ev2;
|
|
|
|
notfirstev = 0;
|
|
ev2 = 0;
|
|
while (ev2 < sys->runs[run2].length)
|
|
{
|
|
if (isDependEvent (run2, ev2, run, ev))
|
|
{
|
|
if (notfirstev)
|
|
eprintf (",");
|
|
else
|
|
{
|
|
if (notfirstrun)
|
|
eprintf (" ");
|
|
eprintf ("r%i:", run2);
|
|
}
|
|
eprintf ("%i", ev2);
|
|
notfirstrun = 1;
|
|
notfirstev = 1;
|
|
}
|
|
ev2++;
|
|
}
|
|
run2++;
|
|
}
|
|
eprintf ("\n");
|
|
ev++;
|
|
}
|
|
run++;
|
|
}
|
|
}
|
|
#endif
|
|
|
|
// First, runs
|
|
drawRegularRuns (sys);
|
|
drawIntruderRuns (sys);
|
|
from_intruder_count = drawAllBindings (sys);
|
|
|
|
// Third, the intruder node (if needed)
|
|
{
|
|
/*
|
|
* Stupid brute analysis, can probably be done much more efficient, but
|
|
* this is not a timing critical bit, so we just do it like this.
|
|
*/
|
|
Termlist found;
|
|
List bl;
|
|
|
|
// collect the intruder-generated constants
|
|
found = NULL;
|
|
for (bl = sys->bindings; bl != NULL; bl = bl->next)
|
|
{
|
|
Binding b;
|
|
|
|
b = (Binding) bl->data;
|
|
if (!b->blocked)
|
|
{
|
|
int addsubterms (Term t)
|
|
{
|
|
if (isIntruderChoice (t))
|
|
{
|
|
found = termlistAddNew (found, t);
|
|
}
|
|
return true;
|
|
}
|
|
|
|
term_iterate_open_leaves (b->term, addsubterms);
|
|
}
|
|
}
|
|
|
|
// now maybe we draw the node
|
|
if ((from_intruder_count > 0) || (found != NULL))
|
|
{
|
|
eprintf ("\tintruder [\n");
|
|
eprintf ("\t\tlabel=\"");
|
|
eprintf ("Initial intruder knowledge");
|
|
if (found != NULL)
|
|
{
|
|
eprintf ("\\n");
|
|
eprintf ("The intruder generates: ");
|
|
termlistPrintRemap (found, ", ");
|
|
}
|
|
eprintf ("\",\n");
|
|
eprintf ("\t\tstyle=filled,fillcolor=\"");
|
|
printColor (INTRUDERCOLORH, INTRUDERCOLORL, INTRUDERCOLORS);
|
|
eprintf ("\"\n\t];\n");
|
|
}
|
|
termlistDelete (found);
|
|
}
|
|
|
|
// eprintf ("\t};\n");
|
|
|
|
// For debugging we might add more stuff: full dependencies
|
|
#ifdef DEBUG
|
|
if (DEBUGL (3))
|
|
{
|
|
int r1;
|
|
|
|
for (r1 = 0; r1 < sys->maxruns; r1++)
|
|
{
|
|
if (sys->runs[r1].protocol != INTRUDER)
|
|
{
|
|
int e1;
|
|
|
|
for (e1 = 0; e1 < sys->runs[r1].step; e1++)
|
|
{
|
|
int r2;
|
|
|
|
for (r2 = 0; r2 < sys->maxruns; r2++)
|
|
{
|
|
if (sys->runs[r2].protocol != INTRUDER)
|
|
{
|
|
int e2;
|
|
|
|
for (e2 = 0; e2 < sys->runs[r2].step; e2++)
|
|
{
|
|
if (isDependEvent (r1, e1, r2, e2))
|
|
{
|
|
eprintf
|
|
("\tr%ii%i -> r%ii%i [color=grey];\n",
|
|
r1, e1, r2, e2);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
#endif
|
|
|
|
// Ranks
|
|
if (switches.clusters)
|
|
{
|
|
showRanks (sys, maxrank, ranks, nodes);
|
|
}
|
|
|
|
#ifdef DEBUG
|
|
// Debug: print dependencies
|
|
if (DEBUGL (3))
|
|
{
|
|
dependPrint ();
|
|
}
|
|
#endif
|
|
|
|
// clean memory
|
|
free (ranks); // ranks
|
|
|
|
// close graph
|
|
eprintf ("};\n\n");
|
|
}
|