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strArgmt.cpp
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#include "strTheory.h"
// backtrack-able cut information
struct T_cut
{
int level;
std::map<Z3_ast, int> vars;
T_cut() {
level = -100;
}
};
bool avoidLoopCut = true;
bool loopDetected = false;
std::map<Z3_ast, std::stack<T_cut *> > cut_VARMap;
/*
*
*/
void cutVarsMapCopy(std::map<Z3_ast, int> & dest, std::map<Z3_ast, int> & src) {
std::map<Z3_ast, int>::iterator itor = src.begin();
for (; itor != src.end(); itor++) {
dest[itor->first] = 1;
}
}
/*
*
*/
void addCutInfoOneNode(Z3_ast baseNode, int slevel, Z3_ast node) {
if (cut_VARMap.find(baseNode) == cut_VARMap.end()) {
T_cut * varInfo = new T_cut();
varInfo->level = slevel;
varInfo->vars[node] = 1;
cut_VARMap[baseNode].push(varInfo);
} else {
if (cut_VARMap[baseNode].empty()) {
T_cut * varInfo = new T_cut();
varInfo->level = slevel;
varInfo->vars[node] = 1;
cut_VARMap[baseNode].push(varInfo);
} else {
if (cut_VARMap[baseNode].top()->level < slevel) {
T_cut * varInfo = new T_cut();
varInfo->level = slevel;
cutVarsMapCopy(varInfo->vars, cut_VARMap[baseNode].top()->vars);
varInfo->vars[node] = 1;
cut_VARMap[baseNode].push(varInfo);
} else if (cut_VARMap[baseNode].top()->level == slevel) {
cut_VARMap[baseNode].top()->vars[node] = 1;
} else {
printf("should not be here. exit %d\n", __LINE__);
exit(0);
}
}
}
}
/*
*
*/
void addCutInfoMerge(Z3_ast destNode, int slevel, Z3_ast srcNode) {
if (cut_VARMap.find(srcNode) == cut_VARMap.end()) {
printf("should not be here. exit %d\n", __LINE__);
exit(0);
}
if (cut_VARMap[srcNode].empty()) {
printf("should not be here. exit %d\n", __LINE__);
exit(0);
}
if (cut_VARMap.find(destNode) == cut_VARMap.end()) {
T_cut * varInfo = new T_cut();
varInfo->level = slevel;
cutVarsMapCopy(varInfo->vars, cut_VARMap[srcNode].top()->vars);
cut_VARMap[destNode].push(varInfo);
} else {
if (cut_VARMap[destNode].empty() || cut_VARMap[destNode].top()->level < slevel) {
T_cut * varInfo = new T_cut();
varInfo->level = slevel;
cutVarsMapCopy(varInfo->vars, cut_VARMap[destNode].top()->vars);
cutVarsMapCopy(varInfo->vars, cut_VARMap[srcNode].top()->vars);
cut_VARMap[destNode].push(varInfo);
} else if (cut_VARMap[destNode].top()->level == slevel) {
cutVarsMapCopy(cut_VARMap[destNode].top()->vars, cut_VARMap[srcNode].top()->vars);
} else {
printf("should not be here. exit %d\n", __LINE__);
exit(0);
}
}
}
/*
*
*/
void checkandInit_cutVAR(Z3_theory t, Z3_ast node) {
if (cut_VARMap.find(node) != cut_VARMap.end()) {
return;
} else {
if (getNodeType(t, node) != my_Z3_ConstStr) {
addCutInfoOneNode(node, -1, node);
}
}
}
/*
*
*/
bool hasSelfCut(Z3_ast n1, Z3_ast n2) {
if (cut_VARMap.find(n1) == cut_VARMap.end())
return false;
if (cut_VARMap.find(n2) == cut_VARMap.end())
return false;
if (cut_VARMap[n1].empty() || cut_VARMap[n2].empty())
return false;
std::map<Z3_ast, int>::iterator itor = cut_VARMap[n1].top()->vars.begin();
for (; itor != cut_VARMap[n1].top()->vars.end(); itor++) {
if (cut_VARMap[n2].top()->vars.find(itor->first) != cut_VARMap[n2].top()->vars.end())
return true;
}
return false;
}
/*
*
*/
void printCutVAR(Z3_theory t, Z3_ast node) {
#ifdef DEBUGLOG
__debugPrint(logFile, "\n>> CUT info of [");
printZ3Node(t, node);
__debugPrint(logFile, "]\n");
if (cut_VARMap.find(node) != cut_VARMap.end()) {
if (!cut_VARMap[node].empty()) {
__debugPrint(logFile, "[%2d] {", cut_VARMap[node].top()->level);
std::map<Z3_ast, int>::iterator itor = cut_VARMap[node].top()->vars.begin();
for (; itor != cut_VARMap[node].top()->vars.end(); itor++) {
printZ3Node(t, itor->first);
__debugPrint(logFile, ", ");
}
__debugPrint(logFile, "}\n");
} else {
}
}
__debugPrint(logFile, "------------------------\n\n");
#endif
}
/*
*
*/
void cb_pop(Z3_theory t) {
sLevel--;
__debugPrint(logFile, "\n*******************************************\n");
__debugPrint(logFile, "[POP]: Level = %d", sLevel);
__debugPrint(logFile, "\n*******************************************\n");
std::map<Z3_ast, std::stack<T_cut *> >::iterator varItor = cut_VARMap.begin();
while (varItor != cut_VARMap.end()) {
while ((varItor->second.size() > 0) && (varItor->second.top()->level != 0) && (varItor->second.top()->level >= sLevel)) {
T_cut * aCut = varItor->second.top();
varItor->second.pop();
delete aCut;
}
if (varItor->second.size() == 0)
cut_VARMap.erase(varItor++);
else
varItor++;
}
}
/*************************************************************
* Type 1: concat(x, y) = concat(m, n)
* x, y, m and n all variables
*************************************************************/
bool isConcatEqType_1(Z3_theory t, Z3_ast concatAst1, Z3_ast concatAst2) {
Z3_context ctx = Z3_theory_get_context(t);
Z3_ast x = Z3_get_app_arg(ctx, Z3_to_app(ctx, concatAst1), 0);
Z3_ast y = Z3_get_app_arg(ctx, Z3_to_app(ctx, concatAst1), 1);
Z3_ast m = Z3_get_app_arg(ctx, Z3_to_app(ctx, concatAst2), 0);
Z3_ast n = Z3_get_app_arg(ctx, Z3_to_app(ctx, concatAst2), 1);
if ((!isConstStr(t, x)) && (!isConstStr(t, y)) && (!isConstStr(t, m)) && (!isConstStr(t, n)))
return true;
else
return false;
}
Z3_ast inline getLengthRoot(Z3_theory t, Z3_ast node) {
return Z3_theory_getArithEqcRoot(t, mk_length(t, node));
}
/*
*
*/
void processConcatEqType_1(Z3_theory t, Z3_ast concatAst1, Z3_ast concatAst2) {
#ifdef DEBUGLOG
__debugPrint(logFile, "\n");
__debugPrint(logFile, "#############################\n");
__debugPrint(logFile, "# SimplifyConcatEq Type 1 #\n");
__debugPrint(logFile, "#---------------------------#\n");
__debugPrint(logFile, "concatAst1 = ");
printZ3Node(t, concatAst1);
__debugPrint(logFile, "\n");
__debugPrint(logFile, "concatAst2 = ");
printZ3Node(t, concatAst2);
__debugPrint(logFile, "\n");
printStrArgLen(t, concatAst1);
printStrArgLen(t, concatAst2);
__debugPrint(logFile, "#############################\n");
#endif
if (! isConcatFunc(t, concatAst1) ) {
__debugPrint(logFile, ">> [processConcatEqType_1] concatAst1 is not a concat function %d\n", __LINE__);
return;
}
if (! isConcatFunc(t, concatAst2)) {
__debugPrint(logFile, ">> [processConcatEqType_1] concatAst2 is not a concat function %d\n", __LINE__);
return;
}
Z3_context ctx = Z3_theory_get_context(t);
Z3_ast x = Z3_get_app_arg(ctx, Z3_to_app(ctx, concatAst1), 0);
Z3_ast y = Z3_get_app_arg(ctx, Z3_to_app(ctx, concatAst1), 1);
Z3_ast m = Z3_get_app_arg(ctx, Z3_to_app(ctx, concatAst2), 0);
Z3_ast n = Z3_get_app_arg(ctx, Z3_to_app(ctx, concatAst2), 1);
int x_len = getLenValue(t, x);
int y_len = getLenValue(t, y);
int m_len = getLenValue(t, m);
int n_len = getLenValue(t, n);
int splitType = -1;
if (x_len != -1 && m_len != -1) {
if (x_len < m_len)
splitType = 0;
else if (x_len == m_len)
splitType = 1;
else
splitType = 2;
}
if (splitType == -1 && y_len != -1 && n_len != -1) {
if (y_len > n_len)
splitType = 0;
else if (y_len == n_len)
splitType = 1;
else
splitType = 2;
}
__debugPrint(logFile, ">> SplitType = %d @ %d.\n\n", splitType, __LINE__);
// ------------------------------------
Z3_ast t1 = NULL;
Z3_ast t2 = NULL;
Z3_ast xorFlag = NULL;
std::pair<Z3_ast, Z3_ast> key1(concatAst1, concatAst2);
std::pair<Z3_ast, Z3_ast> key2(concatAst2, concatAst1);
if (varForBreakConcat.find(key1) == varForBreakConcat.end() && varForBreakConcat.find(key2) == varForBreakConcat.end()) {
t1 = my_mk_nonEmpty_string_var(t);
t2 = my_mk_nonEmpty_string_var(t);
xorFlag = mk_internal_xor_var(t);
checkandInit_cutVAR(t, t1);
checkandInit_cutVAR(t, t2);
varForBreakConcat[key1][0] = t1;
varForBreakConcat[key1][1] = t2;
varForBreakConcat[key1][2] = xorFlag;
} else {
if (varForBreakConcat.find(key1) != varForBreakConcat.end()) {
t1 = varForBreakConcat[key1][0];
t2 = varForBreakConcat[key1][1];
xorFlag = varForBreakConcat[key1][2];
} else {
t1 = varForBreakConcat[key2][0];
t2 = varForBreakConcat[key2][1];
xorFlag = varForBreakConcat[key2][2];
}
}
// #############################################################################
// Begin: providing less split options when length information is available
if (splitType == 0) {
//--------------------------------------
// break option 1: m cut y
// len(x) < len(m) || len(y) > len(n)
//--------------------------------------
if (!hasSelfCut(m, y)) {
Z3_ast ax_l_items[3];
ax_l_items[0] = Z3_mk_eq(ctx, concatAst1, concatAst2);
Z3_ast x_t1 = mk_concat(t, x, t1);
Z3_ast t1_n = mk_concat(t, t1, n);
Z3_ast ax_r_items[3];
ax_r_items[0] = Z3_mk_eq(ctx, m, x_t1);
ax_r_items[1] = Z3_mk_eq(ctx, y, t1_n);
if (m_len != -1 && x_len != -1) {
ax_l_items[1] = Z3_mk_eq(ctx, mk_length(t, x), mk_int(ctx, x_len));
ax_l_items[2] = Z3_mk_eq(ctx, mk_length(t, m), mk_int(ctx, m_len));
ax_r_items[2] = Z3_mk_eq(ctx, mk_length(t, t1), mk_int(ctx, (m_len - x_len)));
} else {
ax_l_items[1] = Z3_mk_eq(ctx, mk_length(t, y), mk_int(ctx, y_len));
ax_l_items[2] = Z3_mk_eq(ctx, mk_length(t, n), mk_int(ctx, n_len));
ax_r_items[2] = Z3_mk_eq(ctx, mk_length(t, t1), mk_int(ctx, (y_len - n_len)));
}
Z3_ast ax_l = Z3_mk_and(ctx, 3, ax_l_items);
Z3_ast ax_r = Z3_mk_and(ctx, 3, ax_r_items);
// Cut Info
addCutInfoMerge(t1, sLevel, m);
addCutInfoMerge(t1, sLevel, y);
addAxiom(t, Z3_mk_implies(ctx, ax_l, ax_r), __LINE__);
} else {
loopDetected = true;
#ifdef DEBUGLOG
__debugPrint(logFile, "-------------------\n");
__debugPrint(logFile, "[AVOID Loop] Skip @ %d.\n", __LINE__);
printCutVAR(t, m);
printCutVAR(t, y);
__debugPrint(logFile, "-------------------\n");
#endif
}
} else if (splitType == 1) {
//--------------------------------------
// break option 2:
// len(x) = len(m) || len(y) = len(n)
//--------------------------------------
Z3_ast ax_l1 = Z3_mk_eq(ctx, concatAst1, concatAst2);
Z3_ast ax_l2 = mk_2_or(t, Z3_mk_eq(ctx, mk_length(t, x), mk_length(t, m)), Z3_mk_eq(ctx, mk_length(t, y), mk_length(t, n)));
Z3_ast ax_l = mk_2_and(t, ax_l1, ax_l2);
Z3_ast ax_r = mk_2_and(t, Z3_mk_eq(ctx, x, m), Z3_mk_eq(ctx, y, n));
addAxiom(t, Z3_mk_implies(ctx, ax_l, ax_r), __LINE__);
} else if (splitType == 2) {
//--------------------------------------
// break option 3:
// len(x) > len(m) || len(y) < len(n)
//--------------------------------------
if (!hasSelfCut(x, n)) {
Z3_ast m_t2 = mk_concat(t, m, t2);
Z3_ast t2_y = mk_concat(t, t2, y);
Z3_ast ax_l_items[3];
ax_l_items[0] = Z3_mk_eq(ctx, concatAst1, concatAst2);
Z3_ast ax_r_items[3];
ax_r_items[0] = Z3_mk_eq(ctx, x, m_t2);
ax_r_items[1] = Z3_mk_eq(ctx, t2_y, n);
if (m_len != -1 && x_len != -1) {
ax_l_items[1] = Z3_mk_eq(ctx, mk_length(t, x), mk_int(ctx, x_len));
ax_l_items[2] = Z3_mk_eq(ctx, mk_length(t, m), mk_int(ctx, m_len));
ax_r_items[2] = Z3_mk_eq(ctx, mk_length(t, t2), mk_int(ctx, (x_len - m_len)));
} else {
ax_l_items[1] = Z3_mk_eq(ctx, mk_length(t, y), mk_int(ctx, y_len));
ax_l_items[2] = Z3_mk_eq(ctx, mk_length(t, n), mk_int(ctx, n_len));
ax_r_items[2] = Z3_mk_eq(ctx, mk_length(t, t2), mk_int(ctx, (n_len - y_len)));
}
Z3_ast ax_l = Z3_mk_and(ctx, 3, ax_l_items);
Z3_ast ax_r = Z3_mk_and(ctx, 3, ax_r_items);
// Cut Info
addCutInfoMerge(t2, sLevel, x);
addCutInfoMerge(t2, sLevel, n);
addAxiom(t, Z3_mk_implies(ctx, ax_l, ax_r), __LINE__);
} else {
loopDetected = true;
#ifdef DEBUGLOG
__debugPrint(logFile, "-------------------\n");
__debugPrint(logFile, "[AVOID Loop] Skip @ %d.\n", __LINE__);
printCutVAR(t, m);
printCutVAR(t, y);
__debugPrint(logFile, "-------------------\n");
#endif
}
}
// End: providing less split options when length information is available
// #############################################################################
else if (splitType == -1) {
Z3_ast * or_item = new Z3_ast[3];
Z3_ast * and_item = new Z3_ast[20];
int option = 0;
int pos = 1;
//--------------------------------------
// break option 1: m cut y
// len(x) < len(m) || len(y) > len(n)
//--------------------------------------
if (!avoidLoopCut || !(hasSelfCut(m, y))) {
// break down option 1-1
Z3_ast x_t1 = mk_concat(t, x, t1);
Z3_ast t1_n = mk_concat(t, t1, n);
or_item[option] = Z3_mk_eq(ctx, xorFlag, mk_int(ctx, option));
and_item[pos++] = Z3_mk_eq(ctx, or_item[option], Z3_mk_eq(ctx, m, x_t1));
and_item[pos++] = Z3_mk_eq(ctx, or_item[option], Z3_mk_eq(ctx, y, t1_n));
Z3_ast addItems[2];
addItems[0] = mk_length(t, x);
addItems[1] = mk_length(t, t1);
and_item[pos++] = Z3_mk_eq(ctx, or_item[option], Z3_mk_eq(ctx, mk_length(t, m), Z3_mk_add(ctx, 2, addItems)));
and_item[pos++] = Z3_mk_eq(ctx, or_item[option], Z3_mk_gt(ctx, mk_length(t, m), mk_length(t, x)));
// addItems[0] = mk_length(t, t1);
// addItems[1] = mk_length(t, n);
// and_item[pos++] = Z3_mk_eq(ctx, or_item[option], Z3_mk_eq(ctx, mk_length(t, y), Z3_mk_add(ctx, 2, addItems)));
and_item[pos++] = Z3_mk_eq(ctx, or_item[option], Z3_mk_gt(ctx, mk_length(t, y), mk_length(t, n)));
option++;
// Cut Info
addCutInfoMerge(t1, sLevel, m);
addCutInfoMerge(t1, sLevel, y);
} else {
loopDetected = true;
#ifdef DEBUGLOG
__debugPrint(logFile, "-------------------\n");
__debugPrint(logFile, "[AVOID Loop] Skip @ %d.\n", __LINE__);
printCutVAR(t, m);
printCutVAR(t, y);
__debugPrint(logFile, "-------------------\n");
#endif
}
//--------------------------------------
// break option 2:
// x = m || y = n
//--------------------------------------
if (!avoidLoopCut || !(hasSelfCut(x, n))) {
// break down option 1-2
Z3_ast m_t2 = mk_concat(t, m, t2);
Z3_ast t2_y = mk_concat(t, t2, y);
or_item[option] = Z3_mk_eq(ctx, xorFlag, mk_int(ctx, option));
and_item[pos++] = Z3_mk_eq(ctx, or_item[option], Z3_mk_eq(ctx, x, m_t2));
and_item[pos++] = Z3_mk_eq(ctx, or_item[option], Z3_mk_eq(ctx, n, t2_y));
Z3_ast addItems[2];
addItems[0] = mk_length(t, m);
addItems[1] = mk_length(t, t2);
and_item[pos++] = Z3_mk_eq(ctx, or_item[option], Z3_mk_eq(ctx, mk_length(t, x), Z3_mk_add(ctx, 2, addItems)));
and_item[pos++] = Z3_mk_eq(ctx, or_item[option], Z3_mk_gt(ctx, mk_length(t, x), mk_length(t, m)));
// addItems[0] = mk_length(t, t2);
// addItems[1] = mk_length(t, y);
// and_item[pos++] = Z3_mk_eq(ctx, or_item[option], Z3_mk_eq(ctx, mk_length(t, n), Z3_mk_add(ctx, 2, addItems)));
and_item[pos++] = Z3_mk_eq(ctx, or_item[option], Z3_mk_gt(ctx, mk_length(t, n), mk_length(t, y)));
option++;
addCutInfoMerge(t2, sLevel, x);
addCutInfoMerge(t2, sLevel, n);
} else {
loopDetected = true;
#ifdef DEBUGLOG
__debugPrint(logFile, "-------------------\n");
__debugPrint(logFile, "[AVOID Looping Cut] Skip @ %d.\n", __LINE__);
printCutVAR(t, x);
printCutVAR(t, n);
__debugPrint(logFile, "-------------------\n");
#endif
}
if (canTwoNodesEq(t, x, m) && canTwoNodesEq(t, y, n)) {
or_item[option] = Z3_mk_eq(ctx, xorFlag, mk_int(ctx, option));
and_item[pos++] = Z3_mk_eq(ctx, or_item[option], Z3_mk_eq(ctx, x, m));
and_item[pos++] = Z3_mk_eq(ctx, or_item[option], Z3_mk_eq(ctx, y, n));
and_item[pos++] = Z3_mk_eq(ctx, or_item[option], Z3_mk_eq(ctx, mk_length(t, x), mk_length(t, m)));
and_item[pos++] = Z3_mk_eq(ctx, or_item[option], Z3_mk_eq(ctx, mk_length(t, y), mk_length(t, n)));
option++;
}
if (option > 0) {
if (option == 1) {
and_item[0] = or_item[0];
} else {
and_item[0] = Z3_mk_or(ctx, option, or_item);
}
Z3_ast implyR = Z3_mk_and(ctx, pos, and_item);
Z3_ast toAssert = Z3_mk_implies(ctx, Z3_mk_eq(ctx, concatAst1, concatAst2), implyR);
addAxiom(t, toAssert, __LINE__);
} else {
__debugPrint(logFile, "\n[STOP @ %d] No split option found for two EQ concats\n", __LINE__);
return;
}
delete[] or_item;
delete[] and_item;
return;
}
}
/*************************************************************
* Type 2: concat(x, y) = concat(m, "str")
*************************************************************/
bool isConcatEqType_2(Z3_theory t, Z3_ast concatAst1, Z3_ast concatAst2) {
Z3_context ctx = Z3_theory_get_context(t);
Z3_ast v1_arg0 = Z3_get_app_arg(ctx, Z3_to_app(ctx, concatAst1), 0);
Z3_ast v1_arg1 = Z3_get_app_arg(ctx, Z3_to_app(ctx, concatAst1), 1);
Z3_ast v2_arg0 = Z3_get_app_arg(ctx, Z3_to_app(ctx, concatAst2), 0);
Z3_ast v2_arg1 = Z3_get_app_arg(ctx, Z3_to_app(ctx, concatAst2), 1);
if ((!isConstStr(t, v1_arg0)) && isConstStr(t, v1_arg1) && (!isConstStr(t, v2_arg0)) && (!isConstStr(t, v2_arg1))) {
return true;
} else if ((!isConstStr(t, v2_arg0)) && isConstStr(t, v2_arg1) && (!isConstStr(t, v1_arg0)) && (!isConstStr(t, v1_arg1))) {
return true;
} else {
return false;
}
}
/*
*
*/
void processConcatEqType_2(Z3_theory t, Z3_ast concatAst1, Z3_ast concatAst2) {
#ifdef DEBUGLOG
__debugPrint(logFile, "\n");
__debugPrint(logFile, "#############################\n");
__debugPrint(logFile, "# SimplifyConcatEq Type 2 #\n");
__debugPrint(logFile, "#---------------------------#\n");
__debugPrint(logFile, "concatAst1 = ");
printZ3Node(t, concatAst1);
__debugPrint(logFile, "\n");
__debugPrint(logFile, "concatAst2 = ");
printZ3Node(t, concatAst2);
__debugPrint(logFile, "\n");
printStrArgLen(t, concatAst1);
printStrArgLen(t, concatAst2);
__debugPrint(logFile, "#############################\n");
#endif
Z3_context ctx = Z3_theory_get_context(t);
Z3_ast x = NULL;
Z3_ast y = NULL;
Z3_ast strAst = NULL;
Z3_ast m = NULL;
Z3_ast v1_arg0 = Z3_get_app_arg(ctx, Z3_to_app(ctx, concatAst1), 0);
Z3_ast v1_arg1 = Z3_get_app_arg(ctx, Z3_to_app(ctx, concatAst1), 1);
Z3_ast v2_arg0 = Z3_get_app_arg(ctx, Z3_to_app(ctx, concatAst2), 0);
Z3_ast v2_arg1 = Z3_get_app_arg(ctx, Z3_to_app(ctx, concatAst2), 1);
if (getNodeType(t, v1_arg1) == my_Z3_ConstStr && getNodeType(t, v2_arg1) != my_Z3_ConstStr) {
m = v1_arg0;
strAst = v1_arg1;
x = v2_arg0;
y = v2_arg1;
} else {
m = v2_arg0;
strAst = v2_arg1;
x = v1_arg0;
y = v1_arg1;
}
std::string strValue = getConstStrValue(t, strAst);
int x_len = getLenValue(t, x);
int y_len = getLenValue(t, y);
int m_len = getLenValue(t, m);
int str_len = getLenValue(t, strAst);
//-----------------------------------------------------------------
Z3_ast xorFlag = NULL;
Z3_ast temp1 = NULL;
std::pair<Z3_ast, Z3_ast> key1(concatAst1, concatAst2);
std::pair<Z3_ast, Z3_ast> key2(concatAst2, concatAst1);
if (varForBreakConcat.find(key1) == varForBreakConcat.end() && varForBreakConcat.find(key2) == varForBreakConcat.end()) {
temp1 = my_mk_nonEmpty_string_var(t);
xorFlag = mk_internal_xor_var(t);
varForBreakConcat[key1][0] = temp1;
varForBreakConcat[key1][1] = xorFlag;
} else {
if (varForBreakConcat.find(key1) != varForBreakConcat.end()) {
temp1 = varForBreakConcat[key1][0];
xorFlag = varForBreakConcat[key1][1];
} else if (varForBreakConcat.find(key2) != varForBreakConcat.end()) {
temp1 = varForBreakConcat[key2][0];
xorFlag = varForBreakConcat[key2][1];
}
}
int splitType = -1;
if (x_len != -1 && m_len != -1) {
if (x_len < m_len)
splitType = 0;
else if (x_len == m_len)
splitType = 1;
else
splitType = 2;
}
if (splitType == -1 && y_len != -1 && str_len != -1) {
if (y_len > str_len)
splitType = 0;
else if (y_len == str_len)
splitType = 1;
else
splitType = 2;
}
__debugPrint(logFile, ">> SplitType = %d @ %d.\n\n", splitType, __LINE__);
// #############################################################################
// Begin: providing less split options when length information is available
if (splitType == 0) {
Z3_ast temp1_strAst = mk_concat(t, temp1, strAst);
//--------------------------------------------------------
// m cut y,
// | x | y |
// | m | str |
//--------------------------------------------------------
if (canTwoNodesEq(t, y, temp1_strAst)) {
if (!avoidLoopCut || !(hasSelfCut(m, y))) {
// break down option 2-1
Z3_ast l_items[3];
l_items[0] = Z3_mk_eq(ctx, concatAst1, concatAst2);
Z3_ast r_items[3];
Z3_ast x_temp1 = mk_concat(t, x, temp1);
r_items[0] = Z3_mk_eq(ctx, m, x_temp1);
r_items[1] = Z3_mk_eq(ctx, y, temp1_strAst);
if (x_len != -1 && m_len != -1) {
l_items[1] = Z3_mk_eq(ctx, mk_length(t, x), mk_int(ctx, x_len));
l_items[2] = Z3_mk_eq(ctx, mk_length(t, m), mk_int(ctx, m_len));
r_items[2] = Z3_mk_eq(ctx, mk_length(t, temp1), mk_int(ctx, (m_len - x_len)));
} else {
l_items[1] = Z3_mk_eq(ctx, mk_length(t, y), mk_int(ctx, y_len));
l_items[2] = Z3_mk_eq(ctx, mk_length(t, strAst), mk_int(ctx, str_len));
r_items[2] = Z3_mk_eq(ctx, mk_length(t, temp1), mk_int(ctx, (y_len - str_len)));
}
Z3_ast ax_l = Z3_mk_and(ctx, 3, l_items);
Z3_ast ax_r = Z3_mk_and(ctx, 3, r_items);
//Cut Info
addCutInfoMerge(temp1, sLevel, y);
addCutInfoMerge(temp1, sLevel, m);
addAxiom(t, Z3_mk_implies(ctx, ax_l, ax_r), __LINE__);
} else {
loopDetected = true;
#ifdef DEBUGLOG
__debugPrint(logFile, "-------------------\n");
__debugPrint(logFile, "[AVOID Looping Cut] Skip @ %d.\n", __LINE__);
printCutVAR(t, m);
printCutVAR(t, y);
__debugPrint(logFile, "-------------------\n");
#endif
}
}
} else if (splitType == 1) {
//--------------------------------------
// break option 2:
// | x | y |
// | m | str |
//--------------------------------------
Z3_ast ax_l1 = Z3_mk_eq(ctx, concatAst1, concatAst2);
Z3_ast ax_l2 = mk_2_or(t, Z3_mk_eq(ctx, mk_length(t, x), mk_length(t, m)), Z3_mk_eq(ctx, mk_length(t, y), mk_length(t, strAst)));
Z3_ast ax_l = mk_2_and(t, ax_l1, ax_l2);
Z3_ast ax_r = mk_2_and(t, Z3_mk_eq(ctx, x, m), Z3_mk_eq(ctx, y, strAst));
addAxiom(t, Z3_mk_implies(ctx, ax_l, ax_r), __LINE__);
} else if (splitType == 2) {
//--------------------------------------------------------
// m cut y,
// | x | y |
// | m | str |
//--------------------------------------------------------
int lenDelta = 0;
Z3_ast l_items[3];
int l_count = 0;
l_items[0] = Z3_mk_eq(ctx, concatAst1, concatAst2);
if (x_len != -1 && m_len != -1) {
l_items[1] = Z3_mk_eq(ctx, mk_length(t, x), mk_int(ctx, x_len));
l_items[2] = Z3_mk_eq(ctx, mk_length(t, m), mk_int(ctx, m_len));
l_count = 3;
lenDelta = x_len - m_len;
} else {
l_items[1] = Z3_mk_eq(ctx, mk_length(t, y), mk_int(ctx, y_len));
l_count = 2;
lenDelta = str_len - y_len;
}
std::string part1Str = strValue.substr(0, lenDelta);
std::string part2Str = strValue.substr(lenDelta, strValue.size() - lenDelta);
Z3_ast prefixStr = my_mk_str_value(t, part1Str.c_str());
Z3_ast x_concat = mk_concat(t, m, prefixStr);
Z3_ast cropStr = my_mk_str_value(t, part2Str.c_str());
if (canTwoNodesEq(t, x, x_concat) && canTwoNodesEq(t, y, cropStr)) {
Z3_ast r_items[2];
r_items[0] = Z3_mk_eq(ctx, x, x_concat);
r_items[1] = Z3_mk_eq(ctx, y, cropStr);
Z3_ast ax_l = Z3_mk_and(ctx, l_count, l_items);
Z3_ast ax_r = Z3_mk_and(ctx, 2, r_items);
addAxiom(t, Z3_mk_implies(ctx, ax_l, ax_r), __LINE__);
} else {
// negate! It's impossible to split str with these lengths
__debugPrint(logFile, "[Conflict] Negate! It's impossible to split str with these lengths @ %d.\n", __LINE__);
Z3_ast ax_l = Z3_mk_and(ctx, l_count, l_items);
addAxiom(t, Z3_mk_not(ctx, ax_l), __LINE__);
}
} else {
// have no idea about the length
int optionTotal = 2 + strValue.length();
Z3_ast * or_item = new Z3_ast[optionTotal];
Z3_ast * and_item = new Z3_ast[1 + 6 + 4 * (strValue.length() + 1)];
int option = 0;
int pos = 1;
Z3_ast temp1_strAst = mk_concat(t, temp1, strAst);
//--------------------------------------------------------
// m cut y
//--------------------------------------------------------
if (canTwoNodesEq(t, y, temp1_strAst)) {
if (!avoidLoopCut || !(hasSelfCut(m, y))) {
// break down option 2-1
or_item[option] = Z3_mk_eq(ctx, xorFlag, mk_int(ctx, option));
Z3_ast x_temp1 = mk_concat(t, x, temp1);
and_item[pos++] = Z3_mk_eq(ctx, or_item[option], Z3_mk_eq(ctx, m, x_temp1));
and_item[pos++] = Z3_mk_eq(ctx, or_item[option], Z3_mk_eq(ctx, y, temp1_strAst));
Z3_ast addItems[2];
addItems[0] = mk_length(t, x);
addItems[1] = mk_length(t, temp1);
and_item[pos++] = Z3_mk_eq(ctx, or_item[option], Z3_mk_eq(ctx, mk_length(t, m), Z3_mk_add(ctx, 2, addItems)));
// addItems[0] = mk_length(t, temp1);
// addItems[1] = mk_length(t, strAst);
// and_item[pos++] = Z3_mk_eq(ctx, or_item[option], Z3_mk_eq(ctx, mk_length(t, y), Z3_mk_add(ctx, 2, addItems)));
option++;
//Cut Info
addCutInfoMerge(temp1, sLevel, y);
addCutInfoMerge(temp1, sLevel, m);
} else {
loopDetected = true;
#ifdef DEBUGLOG
__debugPrint(logFile, "-------------------\n");
__debugPrint(logFile, "[AVOID Looping Cut] Skip @ %d.\n", __LINE__);
printCutVAR(t, m);
printCutVAR(t, y);
__debugPrint(logFile, "-------------------\n");
#endif
}
}
for (int i = 0; i <= (int) strValue.size(); i++) {
std::string part1Str = strValue.substr(0, i);
std::string part2Str = strValue.substr(i, strValue.size() - i);
Z3_ast prefixStr = my_mk_str_value(t, part1Str.c_str());
Z3_ast x_concat = mk_concat(t, m, prefixStr);
Z3_ast cropStr = my_mk_str_value(t, part2Str.c_str());
if (canTwoNodesEq(t, x, x_concat) && canTwoNodesEq(t, y, cropStr)) {
// break down option 2-2
or_item[option] = Z3_mk_eq(ctx, xorFlag, mk_int(ctx, option));
and_item[pos++] = Z3_mk_eq(ctx, or_item[option], Z3_mk_eq(ctx, x, x_concat));
and_item[pos++] = Z3_mk_eq(ctx, or_item[option], Z3_mk_eq(ctx, y, cropStr));
// if (part1Str.length() == 0) {
// and_item[pos++] = Z3_mk_eq(ctx, or_item[option], Z3_mk_eq(ctx, mk_length(t, x), mk_length(t, m)));
// } else {
// Z3_ast addItems[2];
// addItems[0] = mk_length(t, m);
// addItems[1] = mk_int(ctx, part1Str.length());
// and_item[pos++] = Z3_mk_eq(ctx, or_item[option], Z3_mk_eq(ctx, mk_length(t, x), Z3_mk_add(ctx, 2, addItems)));
// }
and_item[pos++] = Z3_mk_eq(ctx, or_item[option], Z3_mk_eq(ctx, mk_length(t, y), mk_int(ctx, part2Str.length())));
// adding length constraint for _ = constStr seems slowing things down.
option++;
}
}
if (option > 0) {
if (option == 1)
and_item[0] = or_item[0];
else
and_item[0] = Z3_mk_or(ctx, option, or_item);
Z3_ast implyR = Z3_mk_and(ctx, pos, and_item);
addAxiom(t, Z3_mk_implies(ctx, Z3_mk_eq(ctx, concatAst1, concatAst2), implyR), __LINE__);
} else {
#ifdef DEBUGLOG
__debugPrint(logFile, "\n[STOP @ %d] Should not split two EQ concats\n\n", __LINE__);
#endif
return;
}
delete[] or_item;
delete[] and_item;
return;
}
}
/*************************************************************
* Type 3: concat(x, y) = concat("str", n)
*************************************************************/
bool isConcatEqType_3(Z3_theory t, Z3_ast concatAst1, Z3_ast concatAst2) {
Z3_context ctx = Z3_theory_get_context(t);
Z3_ast v1_arg0 = Z3_get_app_arg(ctx, Z3_to_app(ctx, concatAst1), 0);
Z3_ast v1_arg1 = Z3_get_app_arg(ctx, Z3_to_app(ctx, concatAst1), 1);
Z3_ast v2_arg0 = Z3_get_app_arg(ctx, Z3_to_app(ctx, concatAst2), 0);
Z3_ast v2_arg1 = Z3_get_app_arg(ctx, Z3_to_app(ctx, concatAst2), 1);
if (isConstStr(t, v1_arg0) && (!isConstStr(t, v1_arg1)) && (!isConstStr(t, v2_arg0)) && (!isConstStr(t, v2_arg1))) {
return true;
} else if (isConstStr(t, v2_arg0) && (!isConstStr(t, v2_arg1)) && (!isConstStr(t, v1_arg0)) && (!isConstStr(t, v1_arg1))) {
return true;
} else {
return false;
}
}
/*
*
*/
//#############################
//# SimplifyConcatEq Type 3 #
//#---------------------------#
//concatAst1 = (Concat _!#_str3 _!#_str12)
//concatAst2 = (Concat __utma=218069774. _!#_str120)
// ** |(Concat _!#_str3 _!#_str12)| = -1
// ** |_!#_str3| = 7
// ** |_!#_str12| = 13
// ** |(Concat __utma=218069774. _!#_str120)| = -1
// ** |"__utma=218069774."| = 17
// ** |_!#_str120| = -1
//#############################
void processConcatEqType_3(Z3_theory t, Z3_ast concatAst1, Z3_ast concatAst2) {
#ifdef DEBUGLOG
__debugPrint(logFile, "\n");
__debugPrint(logFile, "#############################\n");
__debugPrint(logFile, "# SimplifyConcatEq Type 3 #\n");
__debugPrint(logFile, "#---------------------------#\n");
__debugPrint(logFile, "concatAst1 = ");
printZ3Node(t, concatAst1);
__debugPrint(logFile, "\n");
__debugPrint(logFile, "concatAst2 = ");
printZ3Node(t, concatAst2);
__debugPrint(logFile, "\n");
printStrArgLen(t, concatAst1);
printStrArgLen(t, concatAst2);
__debugPrint(logFile, "#############################\n");
#endif
Z3_context ctx = Z3_theory_get_context(t);
Z3_ast v1_arg0 = Z3_get_app_arg(ctx, Z3_to_app(ctx, concatAst1), 0);
Z3_ast v1_arg1 = Z3_get_app_arg(ctx, Z3_to_app(ctx, concatAst1), 1);
Z3_ast v2_arg0 = Z3_get_app_arg(ctx, Z3_to_app(ctx, concatAst2), 0);
Z3_ast v2_arg1 = Z3_get_app_arg(ctx, Z3_to_app(ctx, concatAst2), 1);
Z3_ast x = NULL;
Z3_ast y = NULL;
Z3_ast strAst = NULL;
Z3_ast n = NULL;
if (getNodeType(t, v1_arg0) == my_Z3_ConstStr && getNodeType(t, v2_arg0) != my_Z3_ConstStr) {
strAst = v1_arg0;
n = v1_arg1;
x = v2_arg0;
y = v2_arg1;
} else {
strAst = v2_arg0;
n = v2_arg1;
x = v1_arg0;
y = v1_arg1;
}
// -----------------------------
// type 3:
// x . y = str . n
// -----------------------------
std::string strValue = getConstStrValue(t, strAst);
int x_len = getLenValue(t, x);
int y_len = getLenValue(t, y);
int str_len = getLenValue(t, strAst);
int n_len = getLenValue(t, n);
Z3_ast xorFlag = NULL;
Z3_ast temp1 = NULL;
std::pair<Z3_ast, Z3_ast> key1(concatAst1, concatAst2);
std::pair<Z3_ast, Z3_ast> key2(concatAst2, concatAst1);
if (varForBreakConcat.find(key1) == varForBreakConcat.end() && varForBreakConcat.find(key2) == varForBreakConcat.end()) {
temp1 = my_mk_nonEmpty_string_var(t);
xorFlag = mk_internal_xor_var(t);
varForBreakConcat[key1][0] = temp1;
varForBreakConcat[key1][1] = xorFlag;
} else {
if (varForBreakConcat.find(key1) != varForBreakConcat.end()) {
temp1 = varForBreakConcat[key1][0];
xorFlag = varForBreakConcat[key1][1];
} else if (varForBreakConcat.find(key2) != varForBreakConcat.end()) {
temp1 = varForBreakConcat[key2][0];
xorFlag = varForBreakConcat[key2][1];
}
}
int splitType = -1;
if (x_len != -1) {
if (x_len < str_len)
splitType = 0;
else if (x_len == str_len)
splitType = 1;
else
splitType = 2;
}
if (splitType == -1 && y_len != -1 && n_len != -1) {
if (y_len > n_len)
splitType = 0;
else if (y_len == n_len)
splitType = 1;
else
splitType = 2;
}
__debugPrint(logFile, ">> SplitType = %d @ %d.\n\n", splitType, __LINE__);
// #############################################################################
// Begin: providing less split options when length information is available
// x . y = str. n
if (splitType == 0) {
// | x | y |
// | str | n |
std::vector<Z3_ast> litems;
litems.push_back(Z3_mk_eq(ctx, concatAst1, concatAst2));
int prefixLen = 0;
if (x_len == -1) {
prefixLen = str_len - (y_len - n_len);
litems.push_back(Z3_mk_eq(ctx, mk_length(t, y), mk_int(ctx, y_len)));
litems.push_back(Z3_mk_eq(ctx, mk_length(t, n), mk_int(ctx, n_len)));
} else {
prefixLen = x_len;
litems.push_back(Z3_mk_eq(ctx, mk_length(t, x), mk_int(ctx, x_len)));
}
std::string prefixStr = strValue.substr(0, prefixLen);
std::string suffixStr = strValue.substr(prefixLen, str_len - prefixLen);
Z3_ast prefixAst = my_mk_str_value(t, prefixStr.c_str());
Z3_ast suffixAst = my_mk_str_value(t, suffixStr.c_str());
Z3_ast ax_l = mk_and_fromVector(t, litems);
Z3_ast suf_n_concat = mk_concat(t, suffixAst, n);
if (canTwoNodesEq(t, x, prefixAst) && canTwoNodesEq(t, y, suf_n_concat)) {
Z3_ast r_items[2];
r_items[0] = Z3_mk_eq(ctx, x, prefixAst);
r_items[1] = Z3_mk_eq(ctx, y, suf_n_concat);
addAxiom(t, Z3_mk_implies(ctx, ax_l, Z3_mk_and(ctx, 2, r_items)), __LINE__);
} else {
// negate! It's impossible to split str with these lengths
__debugPrint(logFile, "[Conflict] Negate! It's impossible to split str with these lengths @ %d.\n", __LINE__);
addAxiom(t, Z3_mk_not(ctx, ax_l), __LINE__);
}
}
//
else if (splitType == 1) {
Z3_ast ax_l1 = Z3_mk_eq(ctx, concatAst1, concatAst2);
Z3_ast ax_l2 = mk_2_or(t, Z3_mk_eq(ctx, mk_length(t, x), mk_length(t, strAst)), Z3_mk_eq(ctx, mk_length(t, y), mk_length(t, n)));
Z3_ast ax_l = mk_2_and(t, ax_l1, ax_l2);
Z3_ast ax_r = mk_2_and(t, Z3_mk_eq(ctx, x, strAst), Z3_mk_eq(ctx, y, n));
addAxiom(t, Z3_mk_implies(ctx, ax_l, ax_r), __LINE__);
}
//
else if (splitType == 2) {
// | x | y |
// | str | n |