/* * Scyther : An automatic verifier for security protocols. * Copyright (C) 2007-2013 Cas Cremers * * This program is free software; you can redistribute it and/or * modify it under the terms of the GNU General Public License * as published by the Free Software Foundation; either version 2 * of the License, or (at your option) any later version. * * This program is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU General Public License for more details. * * You should have received a copy of the GNU General Public License * along with this program; if not, write to the Free Software * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. */ /** @file term.c \brief Term related base functions. * * Intended to be a standalone file, however during development it turned out * that a termlist structure was needed to define term types, so there is now a * dependency loop with termlists.c. * * Until now, symbols were unique and never deleted. The same holds for basic * terms; leaves are equal when their pointers are equal. We are looking to * extend this to whole terms. At that point, term equality is be reduced to * pointer comparison, which is what we want. */ #include #include #include #include #include "term.h" #include "debug.h" #include "error.h" #include "ctype.h" #include "specialterm.h" /* public flag */ int rolelocal_variable; char *RUNSEP; /* external definitions */ extern int inTermlist (); // suppresses a warning, but at what cost? /* forward declarations */ void indent (void); /* main code */ /* Two types of terms: general, and normalized. Normalized rewrites all tuples to (x,(y,z))..NULL form, making list traversal easy. */ //! Initialization of terms code. void termsInit (void) { rolelocal_variable = 0; RUNSEP = "#"; return; } //! Cleanup of terms code. void termsDone (void) { return; } //! Allocate memory for a term. /** *@return A pointer to the new term memory, which is not yet initialised. */ Term makeTerm () { return (Term) malloc (sizeof (struct term)); } //! Create a fresh encrypted term from two existing terms. /** * The first argument is the message, * the second argument is the key. * *@return A pointer to the new term. */ Term makeTermEncrypt (Term t1, Term t2) { Term term = makeTerm (); term->type = ENCRYPT; term->stype = NULL; term->helper.fcall = false; term->subst = NULL; TermOp (term) = t1; TermKey (term) = t2; return term; } Term makeTermFcall (Term t1, Term t2) //! Create a fresh function application term from two existing terms. /** * The first argument is the function argument, * the second argument is the function (name). * * These behave like encryptions in most cases. * *@return A pointer to the new term. */ { Term t; t = makeTermEncrypt (t1, t2); t->helper.fcall = true; return t; } //! Create a fresh term tuple from two existing terms. /** *@return A pointer to the new term. */ Term makeTermTuple (Term t1, Term t2) { Term tt; if (t1 == NULL) { if (t2 == NULL) { #ifdef DEBUG debug (5, "Trying to make a tuple node with an empty term."); #endif return NULL; } else { return t2; } } if (t2 == NULL) { return t1; } tt = makeTerm (); tt->type = TUPLE; tt->stype = NULL; tt->helper.roleVar = 0; tt->subst = NULL; TermOp1 (tt) = t1; TermOp2 (tt) = t2; return tt; } //! Make a term of the given type with run identifier and symbol. /** *@return A pointer to the new term. *\sa GLOBAL, VARIABLE, LEAF, ENCRYPT, TUPLE */ Term makeTermType (const int type, const Symbol symb, const int runid) { Term term = makeTerm (); term->type = type; term->stype = NULL; if ((type == ENCRYPT) || (type == TUPLE)) { // Non-leaf term->helper.fcall = false; } else { // Leaf term->helper.roleVar = 0; } term->subst = NULL; TermSymb (term) = symb; TermRunid (term) = runid; return term; } //! Unwrap any substitutions. /** * For speed, it is also a macro. Sometimes it will call * deVarScan to do the actual unwinding. *@return A term that is either not a variable, or has a NULL substitution. *\sa deVar() */ Term deVarScan (Term t) { while (realTermVariable (t) && t->subst != NULL) t = t->subst; return t; } //! Determine whether a term contains an unsubstituted variable as subterm. /** *@return True iff there is an open variable as subterm. */ int hasTermVariable (Term term) { if (term == NULL) return 0; term = deVar (term); if (realTermLeaf (term)) return realTermVariable (term); else { if (realTermTuple (term)) return (hasTermVariable (TermOp1 (term)) || hasTermVariable (TermOp2 (term))); else return (hasTermVariable (TermOp (term)) || hasTermVariable (TermKey (term))); } } //! Safe wrapper for isTermEqual int isTermEqualDebug (Term t1, Term t2) { return isTermEqualFn (t1, t2); } //!Tests whether two terms are completely identical. /** * This also includes * variables. This is the recursive function. * We assume the term is normalized, e.g. no tupling has direct * subtupling. *@return True iff the terms are equal. *\sa isTermEqual() */ int isTermEqualFn (Term term1, Term term2) { term1 = deVar (term1); term2 = deVar (term2); if (term1 == term2) return 1; if ((term1 == NULL) || (term2 == NULL)) return 0; if (term1->type != term2->type) { return 0; } if (realTermLeaf (term1)) { return (TermSymb (term1) == TermSymb (term2) && TermRunid (term1) == TermRunid (term2)); } else { /* ENCRYPT or TUPLE */ if (realTermEncrypt (term1)) { /* for optimization of encryption equality, we compare operator 2 first (we expect it to be a smaller term) */ return (isTermEqualFn (TermKey (term1), TermKey (term2)) && isTermEqualFn (TermOp (term1), TermOp (term2))); } else { /* tuple */ return (isTermEqualFn (TermOp1 (term1), TermOp1 (term2)) && isTermEqualFn (TermOp2 (term1), TermOp2 (term2))); } } } //! See if a term is a subterm of another. /** *@param t Term to be checked for a subterm. *@param tsub Subterm. * Note that if t is non-null and tsub is null, it is a valid subterm. *@return True iff tsub is a subterm of t. */ int termSubTerm (Term t, Term tsub) { t = deVar (t); tsub = deVar (tsub); if (isTermEqual (t, tsub)) { return true; } else { if (t == NULL) { return false; } else { if (tsub == NULL) { return true; } else { if (realTermLeaf (t)) { return false; } else { if (realTermTuple (t)) return (termSubTerm (TermOp1 (t), tsub) || termSubTerm (TermOp2 (t), tsub)); else return (termSubTerm (TermOp (t), tsub) || termSubTerm (TermKey (t), tsub)); } } } } } //! See if a term is an interm of another. /** *@param t Term to be checked for a subterm. *@param tsub interm. *@return True iff tsub is an interm of t. */ int termInTerm (Term t, Term tsub) { t = deVar (t); tsub = deVar (tsub); if (isTermEqual (t, tsub)) return true; if (realTermLeaf (t)) return false; if (realTermTuple (t)) return (termInTerm (TermOp1 (t), tsub) || termInTerm (TermOp2 (t), tsub)); else return false; } //! Print a term to stdout. /** * The tuple printing only works correctly for normalized terms. * If not, they might are displayed as "((x,y),z)". Maybe that is even * desirable to distinguish them. *\sa termTuplePrint() */ void termPrintCustom (Term term, char *leftvar, char *rightvar, char *lefttup, char *righttup, char *leftenc, char *rightenc, void (*callback) (const Term t)) { #ifdef DEBUG if (!DEBUGL (4)) { term = deVar (term); } #else term = deVar (term); #endif if (term == NULL) { eprintf ("*"); return; } if (realTermLeaf (term)) { if (term->type == VARIABLE && TermRunid (term) >= 0) eprintf (leftvar); symbolPrint (TermSymb (term)); if (term->type == VARIABLE && TermRunid (term) >= 0) eprintf (rightvar); if (TermRunid (term) >= 0) { if (callback == NULL) { eprintf ("%s%i", RUNSEP, TermRunid (term)); } else { callback (term); } } if (term->subst != NULL) { eprintf ("->"); termPrintCustom (term->subst, leftvar, rightvar, lefttup, righttup, leftenc, rightenc, callback); } } if (realTermTuple (term)) { eprintf ("("); termTuplePrintCustom (term, leftvar, rightvar, lefttup, righttup, leftenc, rightenc, callback); eprintf (")"); return; } if (realTermEncrypt (term)) { if (term->helper.fcall) { /* function application */ termPrintCustom (TermKey (term), leftvar, rightvar, lefttup, righttup, leftenc, rightenc, callback); eprintf (lefttup); termTuplePrintCustom (TermOp (term), leftvar, rightvar, lefttup, righttup, leftenc, rightenc, callback); eprintf (righttup); } else { /* normal encryption */ eprintf (leftenc); termTuplePrintCustom (TermOp (term), leftvar, rightvar, lefttup, righttup, leftenc, rightenc, callback); eprintf (rightenc); termPrintCustom (TermKey (term), leftvar, rightvar, lefttup, righttup, leftenc, rightenc, callback); } } } void termPrint (Term term) { termPrintCustom (term, "", "V", "(", ")", "{ ", " }", NULL); } //! Print an inner (tuple) term to stdout, without brackets. /** * The tuple printing only works correctly for normalized terms. * If not, they might are displayed as "((x,y),z)". Maybe that is even * desirable to distinguish them. */ void termTuplePrintCustom (Term term, char *leftvar, char *rightvar, char *lefttup, char *righttup, char *leftenc, char *rightenc, void (*callback) (const Term t)) { if (term == NULL) { eprintf ("Empty term"); return; } term = deVar (term); while (realTermTuple (term)) { // To remove any brackets, change this into termTuplePrint. termPrintCustom (TermOp1 (term), leftvar, rightvar, lefttup, righttup, leftenc, rightenc, callback); eprintf (","); term = deVar (TermOp2 (term)); } termPrintCustom (term, leftvar, rightvar, lefttup, righttup, leftenc, rightenc, callback); return; } //! Print inner tuple void termTuplePrint (Term term) { termTuplePrintCustom (term, "", "V", "(", ")", "{ ", " }", NULL); } //! Make a deep copy of a term. /** * Leaves are not copied. *@return If the original was a leaf, then the pointer is simply returned. Otherwise, new memory is allocated and the node is copied recursively. *\sa termDuplicateDeep() */ Term termDuplicate (const Term term) { Term newterm; if (term == NULL) return NULL; if (realTermLeaf (term)) return term; newterm = (Term) malloc (sizeof (struct term)); memcpy (newterm, term, sizeof (struct term)); if (realTermEncrypt (term)) { TermOp (newterm) = termDuplicate (TermOp (term)); TermKey (newterm) = termDuplicate (TermKey (term)); } else { TermOp1 (newterm) = termDuplicate (TermOp1 (term)); TermOp2 (newterm) = termDuplicate (TermOp2 (term)); } return newterm; } //! Make a deep copy of a term node (one-level) /** * Leaves are not copied. *@return If the original was a leaf, then the pointer is simply returned. Otherwise, new memory is allocated and the node is copied recursively. *\sa termDuplicateDeep() */ Term termNodeDuplicate (const Term term) { Term newterm; if (term == NULL) return NULL; if (realTermLeaf (term)) return term; newterm = (Term) malloc (sizeof (struct term)); memcpy (newterm, term, sizeof (struct term)); return newterm; } //! Make a true deep copy of a term. /** * Currently, this function is not to be used, so we can be sure leaf nodes occur only once in the system. *@return New memory is allocated and the node is copied recursively. *\sa termDuplicate() */ Term termDuplicateDeep (const Term term) { Term newterm; if (term == NULL) return NULL; newterm = (Term) malloc (sizeof (struct term)); memcpy (newterm, term, sizeof (struct term)); if (!realTermLeaf (term)) { if (realTermEncrypt (term)) { TermOp (newterm) = termDuplicateDeep (TermOp (term)); TermKey (newterm) = termDuplicateDeep (TermKey (term)); } else { TermOp1 (newterm) = termDuplicateDeep (TermOp1 (term)); TermOp2 (newterm) = termDuplicateDeep (TermOp2 (term)); } } return newterm; } //! Make a copy of a term, but remove substituted variable nodes. /** * Remove all instantiated variables on the way down. *\sa termDuplicate() */ Term termDuplicateUV (Term term) { Term newterm; term = deVar (term); if (term == NULL) return NULL; if (realTermLeaf (term)) return term; newterm = (Term) malloc (sizeof (struct term)); memcpy (newterm, term, sizeof (struct term)); if (realTermEncrypt (term)) { TermOp (newterm) = termDuplicateUV (TermOp (term)); TermKey (newterm) = termDuplicateUV (TermKey (term)); } else { TermOp1 (newterm) = termDuplicateUV (TermOp1 (term)); TermOp2 (newterm) = termDuplicateUV (TermOp2 (term)); } return newterm; } //! Make a deep copy of a term, also of leaves Term realTermDuplicate (const Term term) { Term newterm; if (term == NULL) return NULL; newterm = (Term) malloc (sizeof (struct term)); if (realTermLeaf (term)) { memcpy (newterm, term, sizeof (struct term)); } else { newterm->type = term->type; if (realTermEncrypt (term)) { TermOp (newterm) = realTermDuplicate (TermOp (term)); TermKey (newterm) = realTermDuplicate (TermKey (term)); } else { TermOp1 (newterm) = realTermDuplicate (TermOp1 (term)); TermOp2 (newterm) = realTermDuplicate (TermOp2 (term)); } } return newterm; } //!Removes a term and deallocates memory. /** * Is meant to remove terms make with termDuplicate. Only deallocates memory * of nodes, not of leaves. *\sa termDuplicate(), termDuplicateUV() */ void termDelete (const Term term) { if (term != NULL && !realTermLeaf (term)) { if (realTermEncrypt (term)) { termDelete (TermOp (term)); termDelete (TermKey (term)); } else { termDelete (TermOp1 (term)); termDelete (TermOp2 (term)); } free (term); } } //! Normalize a term with respect to tupling. /** * Avoids problems with associativity by rewriting every ((x,y),z) to * (x,(y,z)), i.e. a normal form for terms, after which equality is * okay. No memory was allocated or deallocated, as only pointers are swapped. * *@return After execution, the term pointed at has been normalized. */ void termNormalize (Term term) { term = deVar (term); if (term == NULL || realTermLeaf (term)) return; if (realTermEncrypt (term)) { termNormalize (TermOp (term)); termNormalize (TermKey (term)); } else { /* normalize left hand first,both for tupling and for encryption */ termNormalize (TermOp1 (term)); /* check for ((x,y),z) construct */ if (realTermTuple (TermOp1 (term))) { /* temporarily store the old terms */ Term tx = TermOp1 (TermOp1 (term)); Term ty = TermOp2 (TermOp1 (term)); Term tz = TermOp2 (term); /* move node */ TermOp2 (term) = TermOp1 (term); /* construct (x,(y,z)) version */ TermOp1 (term) = tx; TermOp1 (TermOp2 (term)) = ty; TermOp2 (TermOp2 (term)) = tz; } termNormalize (TermOp2 (term)); } } //! Copy a term, and ensure all run identifiers are set to the new value. /** * Strange code. Only to be used on locals, as is stupidly replaces all run identifiers. *@return The new term. *\sa termDuplicate() */ Term termRunid (Term term, int runid) { if (term == NULL) return NULL; if (realTermLeaf (term)) { /* leaf */ if (TermRunid (term) == runid) return term; else { Term newt = termDuplicate (term); TermRunid (newt) = runid; return newt; } } else { /* anything else, recurse */ if (realTermEncrypt (term)) { Term t; t = makeTermEncrypt (termRunid (TermOp (term), runid), termRunid (TermKey (term), runid)); t->helper.fcall = term->helper.fcall; return t; } else { return makeTermTuple (termRunid (TermOp1 (term), runid), termRunid (TermOp2 (term), runid)); } } } //! Determine tuple width of a given term. /** *\sa tupleProject() */ int tupleCount (Term tt) { if (tt == NULL) { return 0; } else { tt = deVar (tt); if (!realTermTuple (tt)) { return 1; } else { return (tupleCount (TermOp1 (tt)) + tupleCount (TermOp2 (tt))); } } } //! Yield the projection Pi(n) of a term. /** *@param tt Term *@param n The index in the tuple [0..tupleCount-1] *@return Returns either a pointer to a term, or NULL if the index is out of range. *\sa tupleCount() */ Term tupleProject (Term tt, int n) { if (tt == NULL) { return NULL; } tt = deVar (tt); if (!realTermTuple (tt)) { if (n > 0) { /* no tuple, adressing error */ return NULL; } else { /* no tuple */ return tt; } } else { /* there is a tuple to traverse */ int left = tupleCount (TermOp1 (tt)); if (n >= left) { /* it's in the right hand side */ return tupleProject (TermOp2 (tt), n - left); } else { /* left hand side */ return tupleProject (TermOp1 (tt), n); } } } //! Determine size of term. /** * Determines the size of a term according to some heuristic. * Currently, the encryption operator is weighed as well. *@return Returns a nonnegative integer. *\sa termDistance() */ int termSize (Term t) { if (t == NULL) { return 0; } t = deVar (t); if (realTermLeaf (t)) { return 1; } else { if (realTermEncrypt (t)) { return 1 + termSize (TermOp (t)) + termSize (TermKey (t)); } else { return termSize (TermOp1 (t)) + termSize (TermOp2 (t)); } } } //! Determine distance between two terms. /** *@return A float value between 0, completely dissimilar, and 1, equal. *\sa termSize() */ float termDistance (Term t1, Term t2) { int t1s; int t2s; /* First the special cases: no equal subterms, completely equal */ if (isTermEqual (t1, t2)) return 1; t1 = deVar (t1); t2 = deVar (t2); t1s = termSize (t1); t2s = termSize (t2); if (t1 == NULL || t2 == NULL) { return 0; } if (t1->type != t2->type) { /* unequal type, maybe one is a subterm of the other? */ if (t1s > t2s && termSubTerm (t1, t2)) { return (float) t2s / t1s; } if (t2s > t1s && termSubTerm (t2, t1)) { return (float) t1s / t2s; } return 0; } else { /* equal types */ if (isTermLeaf (t1)) { /* we had established before that they are not equal */ return 0; } else { /* non-leaf recurse */ if (isTermEncrypt (t1)) { /* encryption */ return (termDistance (TermOp (t1), TermOp (t2)) + termDistance (TermKey (t1), TermKey (t2))) / 2; } else { return (termDistance (TermOp1 (t1), TermOp1 (t2)) + termDistance (TermOp2 (t1), TermOp2 (t2))) / 2; } } } } /** * Enforce a (arbitrary) ordering on terms * <0 means a0 means a>b. */ int termOrder (Term t1, Term t2) { t1 = deVar (t1); t2 = deVar (t2); if (isTermEqual (t1, t2)) { /* equal terms */ return 0; } /* differ */ if (t1->type != t2->type) { /* different types, so ordering on types first */ if (t1->type < t2->type) return -1; else return 1; } /* same type * distinguish cases */ if (realTermLeaf (t1)) { /* compare names */ int comp; comp = strcmp (TermSymb (t1)->text, TermSymb (t2)->text); if (comp != 0) { /* names differ */ return comp; } else { /* equal names, compare run identifiers */ if (TermRunid (t1) == TermRunid (t2)) { error ("termOrder: two terms seem to be identical although local precondition says they aren't."); } else { if (TermRunid (t1) < TermRunid (t2)) return -1; else return 1; } } } else { /* non-leaf */ int compL, compR; if (isTermEncrypt (t1)) { compL = termOrder (TermOp (t1), TermOp (t2)); compR = termOrder (TermKey (t1), TermKey (t2)); } else { compL = termOrder (TermOp1 (t1), TermOp1 (t2)); compR = termOrder (TermOp2 (t1), TermOp2 (t2)); } if (compL != 0) return compL; else return compR; } // @TODO Should be considered an error return 0; } //! Generic term iteration int term_iterate (const Term term, int (*leaf) (Term t), int (*nodel) (Term t), int (*nodem) (Term t), int (*noder) (Term t)) { if (term != NULL) { if (realTermLeaf (term)) { // Leaf if (leaf != NULL) { return leaf (term); } } else { int flag; flag = 1; if (nodel != NULL) flag = flag && nodel (term); // Left part if (realTermTuple (term)) flag = flag && (term_iterate (TermOp1 (term), leaf, nodel, nodem, noder)); else flag = flag && (term_iterate (TermOp (term), leaf, nodel, nodem, noder)); if (nodem != NULL) flag = flag && nodem (term); // Right part if (realTermTuple (term)) flag = flag && (term_iterate (TermOp2 (term), leaf, nodel, nodem, noder)); else flag = flag && (term_iterate (TermKey (term), leaf, nodel, nodem, noder)); if (noder != NULL) flag = flag && noder (term); return flag; } } return 1; } //! Generic term iteration with state int term_iterate_state_deVar (Term term, int (*leaf) (), int (*nodel) (), int (*nodem) (), int (*noder) (), void (*state)) { term = deVar (term); if (term != NULL) { if (realTermLeaf (term)) { // Leaf if (leaf != NULL) { return leaf (term, state); } else { return true; } } else { int flag; flag = true; if (nodel != NULL) flag = flag && nodel (term, state); // Left part if (realTermTuple (term)) flag = flag && (term_iterate_state_deVar (TermOp1 (term), leaf, nodel, nodem, noder, state)); else flag = flag && (term_iterate_state_deVar (TermOp (term), leaf, nodel, nodem, noder, state)); // Center if (nodem != NULL) flag = flag && nodem (term, state); // right part if (realTermTuple (term)) flag = flag && (term_iterate_state_deVar (TermOp2 (term), leaf, nodel, nodem, noder, state)); else flag = flag && (term_iterate_state_deVar (TermKey (term), leaf, nodel, nodem, noder, state)); if (noder != NULL) flag = flag && noder (term, state); return flag; } } return true; } //! Iterate over the leaves in a term, stateful /** * Note that this function iterates over real leaves; thus closed variables can occur as * well. It is up to func to decide wether or not to recurse. */ int term_iterate_state_leaves (const Term term, int (*func) (), void (*state)) { if (term != NULL) { if (realTermLeaf (term)) { if (!func (term, state)) return 0; } else { if (realTermTuple (term)) return (term_iterate_state_leaves (TermOp1 (term), func, state) && term_iterate_state_leaves (TermOp2 (term), func, state)); else return (term_iterate_state_leaves (TermOp (term), func, state) && term_iterate_state_leaves (TermKey (term), func, state)); } } return 1; } //! Iterate over the leaves in a term /** * Note that this function iterates over real leaves; thus closed variables can occur as * well. It is up to func to decide wether or not to recurse. */ int term_iterate_state_open_leaves (const Term term, int (*func) (), void *state) { if (term != NULL) { if (realTermLeaf (term)) { if (substVar (term)) { return term_iterate_state_open_leaves (term->subst, func, state); } else { return func (term, state); } } else { if (realTermTuple (term)) return (term_iterate_state_open_leaves (TermOp1 (term), func, state) && term_iterate_state_open_leaves (TermOp2 (term), func, state)); else return (term_iterate_state_open_leaves (TermOp (term), func, state) && term_iterate_state_open_leaves (TermKey (term), func, state)); } } return 1; } //! Turn all rolelocals into variables void term_rolelocals_are_variables () { rolelocal_variable = 1; } //! Count the encryption level of a term /** * Note that this stops at any variable that is of ticket type. */ int term_encryption_level (const Term term) { int iter_maxencrypt (Term t) { if (isTicketTerm (t)) { return 0; } t = deVar (t); if (t == NULL) { #ifdef DEBUG if (DEBUGL (2)) { eprintf ("Warning: Term encryption level finds a NULL for term "); termPrint (term); eprintf ("\n"); } #endif return 0; } if (realTermLeaf (t)) { return 0; } else { int l, r; if (realTermTuple (t)) { l = iter_maxencrypt (TermOp1 (t)); r = iter_maxencrypt (TermOp2 (t)); } else { // encrypt l = 1 + iter_maxencrypt (TermOp (t)); r = iter_maxencrypt (TermKey (t)); } if (l > r) return l; else return r; } } return iter_maxencrypt (term); } //! Determine 'constrained factor' of a term /** * Actually this is (number of vars/structure). * Thus, 0 means very constrained, no variables. * Everything else has higher float, but always <=1. In fact, only a single variable has a level 1. */ float term_constrain_level (const Term term) { int vars; int structure; void tcl_iterate (Term t) { t = deVar (t); structure++; if (realTermLeaf (t)) { if (realTermVariable (t)) vars++; } else { if (realTermTuple (t)) { tcl_iterate (TermOp1 (t)); tcl_iterate (TermOp2 (t)); } else { tcl_iterate (TermOp (t)); tcl_iterate (TermKey (t)); } } } if (term == NULL) error ("Cannot determine constrain level of empty term."); vars = 0; structure = 0; tcl_iterate (term); return ((float) vars / (float) structure); } //! Adjust the keylevels of the symbols in a term. /** * This is used to scan the roles. For each symbol, this function does the bookkeeping of the keylevels at which they occur. */ void term_set_keylevels (const Term term) { void scan_levels (int level, Term t) { #ifdef DEBUG if (DEBUGL (5)) { int c; c = 0; while (c < level) { eprintf (" "); c++; } eprintf ("Scanning keylevel %i for term ", level); termPrint (t); eprintf ("\n"); } #endif if (realTermLeaf (t)) { Symbol sym; // So, it occurs at 'level' as key. If that is less than known, store. sym = TermSymb (t); if (level < sym->keylevel) { // New minimum level sym->keylevel = level; } } else { if (realTermTuple (t)) { scan_levels (level, TermOp1 (t)); scan_levels (level, TermOp2 (t)); } else { scan_levels (level, TermOp (t)); scan_levels ((level + 1), TermKey (t)); } } } scan_levels (0, term); } //! Print the term diff of two terms /** * This is not correct yet. We need to add function application and correct tuple handing. */ void termPrintDiff (Term t1, Term t2) { void termFromTo (Term t1, Term t2) { t1 = deVar (t1); t2 = deVar (t2); eprintf (" ["); termPrint (t1); eprintf ("]->["); termPrint (t2); eprintf ("] "); } t1 = deVar (t1); t2 = deVar (t2); if (isTermEqual (t1, t2)) { // Equal, simply print termPrint (t1); } else { if (t1->type != t2->type) { // Different types termFromTo (t1, t2); } else { // Equal types, but not the same // If component type, but both components different, we simply do moveto at the node level. if (realTermLeaf (t1)) { // Different constants termFromTo (t1, t2); } else { if (realTermEncrypt (t1)) { // Encryption if (isTermEqual (TermOp (t1), TermOp (t2)) || isTermEqual (TermKey (t1), TermKey (t2))) { eprintf ("{"); termPrintDiff (TermOp (t1), TermOp (t2)); eprintf ("}"); termPrintDiff (TermKey (t1), TermKey (t2)); } else { termFromTo (t1, t2); } } else { // Tupling if (isTermEqual (TermOp1 (t1), TermOp1 (t2)) || isTermEqual (TermOp2 (t1), TermOp2 (t2))) { eprintf ("("); termPrintDiff (TermOp1 (t1), TermOp1 (t2)); eprintf (")"); termPrintDiff (TermOp2 (t1), TermOp2 (t2)); } else { termFromTo (t1, t2); } } } } } } //! Test two leaf terms for abstract equality (abstracting from the run identifiers) int isLeafNameEqual (Term t1, Term t2) { return (TermSymb (t1) == TermSymb (t2)); } //! Generate a fresh term, that does not occur yet, prefixed with the string of the given term. Term freshTermPrefix (Term prefixterm) { Symbol prefixsymbol; Symbol freshsymbol; prefixsymbol = NULL; if (prefixterm != NULL && realTermLeaf (prefixterm)) { prefixsymbol = TermSymb (prefixterm); } freshsymbol = symbolNextFree (prefixsymbol); return makeTermType (GLOBAL, freshsymbol, -1); } //! Generate a term from an int, prefixed with the string of the given term. Term intTermPrefix (const int n, Term prefixterm) { Symbol prefixsymbol; Symbol freshsymbol; prefixsymbol = NULL; if (prefixterm != NULL && realTermLeaf (prefixterm)) { prefixsymbol = TermSymb (prefixterm); } freshsymbol = symbolFromInt (n, prefixsymbol); return makeTermType (GLOBAL, freshsymbol, -1); } //! Determine whether a term is a functor int isTermFunctionName (Term t) { t = deVar (t); if (t != NULL && isTermLeaf (t) && t->stype != NULL && inTermlist (t->stype, TERM_Function)) return 1; return 0; } //! Determine whether a term is a function application. Returns the function term. Term getTermFunction (Term t) { t = deVar (t); if (realTermEncrypt (t)) { if (t->helper.fcall) { return TermKey (t); } } return NULL; } //! Return hidelevel for a single term within another unsigned int termHidelevel (const Term tsmall, Term tbig) { tbig = deVar (tbig); if (isTermEqual (tsmall, tbig)) { // It's simply here: not hidden at any level return 0; } else { if (realTermLeaf (tbig)) { // Not here: infinitely hidden return INT_MAX; } else { // Nested term unsigned int t1, t2; if (realTermTuple (tbig)) { // Tupling t1 = termHidelevel (tsmall, TermOp1 (tbig)); t2 = termHidelevel (tsmall, TermOp2 (tbig)); } else { // Encryption t1 = termHidelevel (tsmall, TermOp (tbig)); t2 = termHidelevel (tsmall, TermKey (tbig)); if (t2 < INT_MAX) t2++; } // Return minimum if (t1 < t2) { return t1; } else { return t2; } } } } //! Show a substitution of t void termSubstPrint (Term t) { if (realTermVariable (t)) { Term tbuf; tbuf = t->subst; t->subst = NULL; termPrint (t); t->subst = tbuf; eprintf (":="); termSubstPrint (t->subst); } else { termPrint (t); } } typedef int (*CallBack) (); struct ito_contain { int myrun; CallBack callback; void *ito_state; }; int testOther (Term t, struct ito_contain *state) { int run; run = TermRunid (t); if (run >= 0 && run != state->myrun) { return state->callback (t, state->ito_state); } return true; } // Iterate over subterm constants of other runs in a term // Callback should return true to progress. This is reported in the final thing. int iterateTermOther (const int myrun, Term t, int (*callback) (), void *ito_state) { struct ito_contain State; State.myrun = myrun; State.callback = callback; State.ito_state = ito_state; return term_iterate_state_deVar (t, testOther, NULL, NULL, NULL, &State); }