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+/*****************************************************************************
+ Copyright (C) 1994-2000 University of Maryland.
+ Copyright (C) 2008 University of Southern California.
+ Copyright (C) 2009-2010 University of Utah.
+ All Rights Reserved.
+
+ Purpose:
+ omega calculator yacc parser.
+
+ Notes:
+
+ History:
+*****************************************************************************/
+
+%{
+
+#include <basic/Dynamic_Array.h>
+#include <basic/Iterator.h>
+#include <code_gen/code_gen.h>
+#include <omega_calc/AST.h>
+#include <omega/hull.h>
+#include <omega/closure.h>
+#include <omega/reach.h>
+#include <string>
+#include <iostream>
+
+#ifdef WIN32
+#include <io.h>
+#define isatty _isatty
+#define alloca _alloca
+#endif
+#ifndef WIN32
+#include <sys/time.h>
+#include <sys/resource.h>
+#endif
+#if !defined(OMIT_GETRUSAGE)
+#include <sys/types.h>
+#include <sys/time.h>
+#include <sys/resource.h>
+#endif
+
+#if !defined(OMIT_GETRUSAGE)
+#ifdef __sparc__
+extern "C" int getrusage (int, struct rusage*);
+#endif
+
+using namespace omega;
+
+struct rusage start_time;
+bool anyTimingDone = false;
+
+void start_clock( void ) {
+ getrusage(RUSAGE_SELF, &start_time);
+}
+
+int clock_diff( void ) {
+ struct rusage current_time;
+ getrusage(RUSAGE_SELF, &current_time);
+ return (current_time.ru_utime.tv_sec -start_time.ru_utime.tv_sec)*1000000 + (current_time.ru_utime.tv_usec-start_time.ru_utime.tv_usec);
+}
+#endif
+
+int omega_calc_debug = 0;
+
+bool is_interactive;
+const char *PROMPT_STRING = ">>>";
+extern std::string err_msg;
+extern FILE *yyin;
+bool need_coef;
+
+Map<Const_String,Relation*> relationMap ((Relation *)0);
+namespace {
+ int redundant_conj_level = 2; // default maximum 2
+ int redundant_constr_level = 4; // default maximum 4
+}
+
+int argCount = 0;
+int tuplePos = 0;
+Argument_Tuple currentTuple = Input_Tuple;
+
+Relation LexForward(int n);
+reachable_information *reachable_info;
+
+int yylex();
+void yyerror(const std::string &s);
+void flushScanBuffer();
+
+%}
+
+%union {
+ int INT_VALUE;
+ coef_t COEF_VALUE;
+ Rel_Op REL_OPERATOR;
+ char *VAR_NAME;
+ VarList *VAR_LIST;
+ Exp *EXP;
+ ExpList *EXP_LIST;
+ AST *ASTP;
+ Argument_Tuple ARGUMENT_TUPLE;
+ AST_constraints *ASTCP;
+ Declaration_Site * DECLARATION_SITE;
+ Relation * RELATION;
+ tupleDescriptor * TUPLE_DESCRIPTOR;
+ RelTuplePair * REL_TUPLE_PAIR;
+ Dynamic_Array2<Relation> * RELATION_ARRAY_2D;
+ Dynamic_Array1<Relation> * RELATION_ARRAY_1D;
+ Tuple<std::string> *STRING_TUPLE;
+ std::string *STRING_VALUE;
+}
+
+%token <VAR_NAME> VAR
+%token <INT_VALUE> INT
+%token <COEF_VALUE> COEF
+%token <STRING_VALUE> STRING
+%token OPEN_BRACE CLOSE_BRACE
+%token SYMBOLIC
+%token OR AND NOT
+%token ST APPROX
+%token IS_ASSIGNED
+%token FORALL EXISTS
+%token DOMAIN RANGE
+%token DIFFERENCE DIFFERENCE_TO_RELATION
+%token GIST GIVEN HULL WITHIN MAXIMIZE MINIMIZE
+%token AFFINE_HULL VENN CONVEX_COMBINATION POSITIVE_COMBINATION LINEAR_COMBINATION AFFINE_COMBINATION CONVEX_HULL CONIC_HULL LINEAR_HULL QUICK_HULL PAIRWISE_CHECK CONVEX_CHECK CONVEX_REPRESENTATION RECT_HULL DECOUPLED_CONVEX_HULL
+%token MAXIMIZE_RANGE MINIMIZE_RANGE
+%token MAXIMIZE_DOMAIN MINIMIZE_DOMAIN
+%token LEQ GEQ NEQ
+%token GOES_TO
+%token COMPOSE JOIN INVERSE COMPLEMENT IN CARRIED_BY TIME TIMECLOSURE
+%token UNION INTERSECTION
+%token VERTICAL_BAR SUCH_THAT
+%token SUBSET CODEGEN DECOUPLED_FARKAS FARKAS
+%token MAKE_UPPER_BOUND MAKE_LOWER_BOUND
+%token <REL_OPERATOR> REL_OP
+%token RESTRICT_DOMAIN RESTRICT_RANGE
+%token SUPERSETOF SUBSETOF SAMPLE SYM_SAMPLE
+%token PROJECT_AWAY_SYMBOLS PROJECT_ON_SYMBOLS REACHABLE_FROM REACHABLE_OF
+%token ASSERT_UNSAT
+%token PARSE_EXPRESSION PARSE_FORMULA PARSE_RELATION
+
+%type <INT_VALUE> effort
+%type <EXP> exp simpleExp
+%type <EXP_LIST> expList
+%type <VAR_LIST> varList
+%type <ARGUMENT_TUPLE> argumentList
+%type <ASTP> formula optionalFormula
+%type <ASTCP> constraintChain
+%type <TUPLE_DESCRIPTOR> tupleDeclaration
+%type <DECLARATION_SITE> varDecl varDeclOptBrackets
+%type <RELATION> relation builtRelation context
+%type <RELATION> reachable_of
+%type <REL_TUPLE_PAIR> relPairList
+%type <RELATION_ARRAY_1D> reachable
+
+%destructor {delete []$$;} VAR
+%destructor {delete $$;} STRING
+%destructor {delete $$;} relation builtRelation tupleDeclaration formula optionalFormula context reachable_of constraintChain varDecl varDeclOptBrackets relPairList reachable
+%destructor {delete $$;} varList exp simpleExp
+%destructor {
+ foreach(e, Exp *, *$$, delete e);
+ delete $$;
+ } expList;
+
+%nonassoc ASSERT_UNSAT
+%left UNION p1 '+' '-'
+%nonassoc SUPERSETOF SUBSETOF
+%left p2 RESTRICT_DOMAIN RESTRICT_RANGE
+%left INTERSECTION p3 '*' '@'
+%left p4
+%left OR p5
+%left AND p6
+%left COMPOSE JOIN CARRIED_BY
+%right NOT APPROX DOMAIN RANGE HULL PROJECT_AWAY_SYMBOLS PROJECT_ON_SYMBOLS DIFFERENCE DIFFERENCE_TO_RELATION INVERSE COMPLEMENT FARKAS SAMPLE SYM_SAMPLE MAKE_UPPER_BOUND MAKE_LOWER_BOUND p7
+%left p8
+%nonassoc GIVEN
+%left p9
+%left '(' p10
+
+%%
+
+inputSequence : /*empty*/
+ | inputSequence { assert( current_Declaration_Site == globalDecls);}
+ inputItem
+;
+
+inputItem : ';' /*empty*/
+ | error ';' {
+ flushScanBuffer();
+ std::cout << err_msg;
+ err_msg.clear();
+ current_Declaration_Site = globalDecls;
+ need_coef = false;
+ std::cout << "...skipping to statement end..." << std::endl;
+ delete relationDecl;
+ relationDecl = NULL;
+ }
+ | SYMBOLIC globVarList ';' {flushScanBuffer();}
+ | VAR IS_ASSIGNED relation ';' {
+ flushScanBuffer();
+ try {
+ $3->simplify(redundant_conj_level, redundant_constr_level);
+ Relation *r = relationMap((Const_String)$1);
+ if (r) delete r;
+ relationMap[(Const_String)$1] = $3;
+ }
+ catch (const std::exception &e) {
+ std::cout << e.what() << std::endl;
+ }
+ delete []$1;
+ }
+ | relation ';' {
+ flushScanBuffer();
+ $1->simplify(redundant_conj_level, redundant_constr_level);
+ $1->print_with_subs(stdout);
+ delete $1;
+ }
+ | TIME relation ';' {
+#if defined(OMIT_GETRUSAGE)
+ printf("'time' requires getrusage, but the omega calclator was compiled with OMIT_GETRUSAGE set!\n");
+#else
+ flushScanBuffer();
+ printf("\n");
+ int t;
+ Relation R;
+ bool SKIP_FULL_CHECK = getenv("OC_TIMING_SKIP_FULL_CHECK");
+ ($2)->and_with_GEQ();
+ start_clock();
+ for (t=1;t<=100;t++) {
+ R = *$2;
+ R.finalize();
+ }
+ int copyTime = clock_diff();
+ start_clock();
+ for (t=1;t<=100;t++) {
+ R = *$2;
+ R.finalize();
+ R.simplify(); /* default simplification effort */
+ }
+ int simplifyTime = clock_diff() -copyTime;
+ Relation R2;
+ if (!SKIP_FULL_CHECK) {
+ start_clock();
+ for (t=1;t<=100;t++) {
+ R2 = *$2;
+ R2.finalize();
+ R2.simplify(2,4); /* maximal simplification effort */
+ }
+ }
+ int excessiveTime = clock_diff() - copyTime;
+ printf("Times (in microseconds): \n");
+ printf("%5d us to copy original set of constraints\n",copyTime/100);
+ printf("%5d us to do the default amount of simplification, obtaining: \n\t", simplifyTime/100);
+ R.print_with_subs(stdout);
+ printf("\n");
+ if (!SKIP_FULL_CHECK) {
+ printf("%5d us to do the maximum (i.e., excessive) amount of simplification, obtaining: \n\t", excessiveTime/100);
+ R2.print_with_subs(stdout);
+ printf("\n");
+ }
+ if (!anyTimingDone) {
+ bool warn = false;
+#ifndef SPEED
+ warn =true;
+#endif
+#ifndef NDEBUG
+ warn = true;
+#endif
+ if (warn) {
+ printf("WARNING: The Omega calculator was compiled with options that force\n");
+ printf("it to perform additional consistency and error checks\n");
+ printf("that may slow it down substantially\n");
+ printf("\n");
+ }
+ printf("NOTE: These times relect the time of the current _implementation_\n");
+ printf("of our algorithms. Performance bugs do exist. If you intend to publish or \n");
+ printf("report on the performance on the Omega test, we respectfully but strongly \n");
+ printf("request that send your test cases to us to allow us to determine if the \n");
+ printf("times are appropriate, and if the way you are using the Omega library to \n");
+ printf("solve your problem is the most effective way.\n");
+ printf("\n");
+
+ printf("Also, please be aware that over the past two years, we have focused our \n");
+ printf("efforts on the expressive power of the Omega library, sometimes at the\n");
+ printf("expensive of raw speed. Our original implementation of the Omega test\n");
+ printf("was substantially faster on the limited domain it handled.\n");
+ printf("\n");
+ printf(" Thanks, \n");
+ printf(" the Omega Team \n");
+ }
+ anyTimingDone = true;
+ delete $2;
+#endif
+ }
+ | TIMECLOSURE relation ';' {
+#if defined(OMIT_GETRUSAGE)
+ printf("'timeclosure' requires getrusage, but the omega calclator was compiled with OMIT_GETRUSAGE set!\n");
+#else
+ flushScanBuffer();
+ try {
+ int t;
+ Relation R;
+ ($2)->and_with_GEQ();
+ start_clock();
+ for (t=1;t<=100;t++) {
+ R = *$2;
+ R.finalize();
+ }
+ int copyTime = clock_diff();
+ start_clock();
+ for (t=1;t<=100;t++) {
+ R = *$2;
+ R.finalize();
+ R.simplify();
+ }
+ int simplifyTime = clock_diff() -copyTime;
+ Relation Rclosed;
+ start_clock();
+ for (t=1;t<=100;t++) {
+ Rclosed = *$2;
+ Rclosed.finalize();
+ Rclosed = TransitiveClosure(Rclosed, 1,Relation::Null());
+ }
+ int closureTime = clock_diff() - copyTime;
+ Relation R2;
+ start_clock();
+ for (t=1;t<=100;t++) {
+ R2 = *$2;
+ R2.finalize();
+ R2.simplify(2,4);
+ }
+ int excessiveTime = clock_diff() - copyTime;
+ printf("Times (in microseconds): \n");
+ printf("%5d us to copy original set of constraints\n",copyTime/100);
+ printf("%5d us to do the default amount of simplification, obtaining: \n\t", simplifyTime/100);
+ R.print_with_subs(stdout);
+ printf("\n");
+ printf("%5d us to do the maximum (i.e., excessive) amount of simplification, obtaining: \n\t", excessiveTime/100);
+ R2.print_with_subs(stdout);
+ printf("%5d us to do the transitive closure, obtaining: \n\t", closureTime/100);
+ Rclosed.print_with_subs(stdout);
+ printf("\n");
+ if (!anyTimingDone) {
+ bool warn = false;
+#ifndef SPEED
+ warn =true;
+#endif
+#ifndef NDEBUG
+ warn = true;
+#endif
+ if (warn) {
+ printf("WARNING: The Omega calculator was compiled with options that force\n");
+ printf("it to perform additional consistency and error checks\n");
+ printf("that may slow it down substantially\n");
+ printf("\n");
+ }
+ printf("NOTE: These times relect the time of the current _implementation_\n");
+ printf("of our algorithms. Performance bugs do exist. If you intend to publish or \n");
+ printf("report on the performance on the Omega test, we respectfully but strongly \n");
+ printf("request that send your test cases to us to allow us to determine if the \n");
+ printf("times are appropriate, and if the way you are using the Omega library to \n");
+ printf("solve your problem is the most effective way.\n");
+ printf("\n");
+
+ printf("Also, please be aware that over the past two years, we have focused our \n");
+ printf("efforts on the expressive power of the Omega library, sometimes at the\n");
+ printf("expensive of raw speed. Our original implementation of the Omega test\n");
+ printf("was substantially faster on the limited domain it handled.\n");
+ printf("\n");
+ printf(" Thanks, \n");
+ printf(" the Omega Team \n");
+ }
+ anyTimingDone = true;
+ }
+ catch (const std::exception &e) {
+ std::cout << e.what() << std::endl;
+ }
+ delete $2;
+#endif
+ }
+ | relation SUBSET relation ';' {
+ flushScanBuffer();
+ try {
+ if (Must_Be_Subset(copy(*$1), copy(*$3)))
+ std::cout << "True" << std::endl;
+ else if (Might_Be_Subset(copy(*$1), copy(*$3)))
+ std::cout << "Possible" << std::endl;
+ else
+ std::cout << "False" << std::endl;
+ }
+ catch (const std::exception &e) {
+ std::cout << e.what() << std::endl;
+ }
+ delete $1;
+ delete $3;
+ }
+ | CODEGEN effort relPairList context';' {
+ flushScanBuffer();
+ try {
+ std::string s = MMGenerateCode($3->mappings, $3->ispaces,*$4,$2);
+ std::cout << s << std::endl;
+ }
+ catch (const std::exception &e) {
+ std::cout << e.what() << std::endl;
+ }
+ delete $4;
+ delete $3;
+ }
+ | reachable ';' {
+ flushScanBuffer();
+ Dynamic_Array1<Relation> &final = *$1;
+ bool any_sat = false;
+ int i,n_nodes = reachable_info->node_names.size();
+ for(i = 1; i <= n_nodes; i++)
+ if(final[i].is_upper_bound_satisfiable()) {
+ any_sat = true;
+ std::cout << "Node %s: " << reachable_info->node_names[i];
+ final[i].print_with_subs(stdout);
+ }
+ if(!any_sat)
+ std::cout << "No nodes reachable.\n";
+ delete $1;
+ delete reachable_info;
+ }
+;
+
+
+effort : {$$ = 1;}
+ | INT {$$ = $1;}
+ | '-' INT {$$ = -$2;}
+;
+
+context : {$$ = new Relation(); *$$ = Relation::Null();}
+ | GIVEN relation {$$ = $2; }
+;
+
+relPairList : relPairList ',' relation ':' relation {
+ try {
+ $1->mappings.append(*$3);
+ $1->mappings[$1->mappings.size()].compress();
+ $1->ispaces.append(*$5);
+ $1->ispaces[$1->ispaces.size()].compress();
+ }
+ catch (const std::exception &e) {
+ delete $1;
+ delete $3;
+ delete $5;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $3;
+ delete $5;
+ $$ = $1;
+ }
+ | relPairList ',' relation {
+ try {
+ $1->mappings.append(Identity($3->n_set()));
+ $1->mappings[$1->mappings.size()].compress();
+ $1->ispaces.append(*$3);
+ $1->ispaces[$1->ispaces.size()].compress();
+ }
+ catch (const std::exception &e) {
+ delete $1;
+ delete $3;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $3;
+ $$ = $1;
+ }
+ | relation ':' relation {
+ RelTuplePair *rtp = new RelTuplePair;
+ try {
+ rtp->mappings.append(*$1);
+ rtp->mappings[rtp->mappings.size()].compress();
+ rtp->ispaces.append(*$3);
+ rtp->ispaces[rtp->ispaces.size()].compress();
+ }
+ catch (const std::exception &e) {
+ delete rtp;
+ delete $1;
+ delete $3;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $1;
+ delete $3;
+ $$ = rtp;
+ }
+ | relation {
+ RelTuplePair *rtp = new RelTuplePair;
+ try {
+ rtp->mappings.append(Identity($1->n_set()));
+ rtp->mappings[rtp->mappings.size()].compress();
+ rtp->ispaces.append(*$1);
+ rtp->ispaces[rtp->ispaces.size()].compress();
+ }
+ catch (const std::exception &e) {
+ delete rtp;
+ delete $1;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $1;
+ $$ = rtp;
+ }
+;
+
+relation : OPEN_BRACE {need_coef = true; relationDecl = new Declaration_Site();}
+ builtRelation CLOSE_BRACE {
+ need_coef = false;
+ $$ = $3;
+ if (omega_calc_debug) {
+ fprintf(DebugFile,"Built relation:\n");
+ $$->prefix_print(DebugFile);
+ }
+ current_Declaration_Site = globalDecls;
+ delete relationDecl;
+ relationDecl = NULL;
+ }
+ | VAR {
+ Const_String s = $1;
+ Relation *r = relationMap(s);
+ if (r == NULL) {
+ yyerror(std::string("relation ") + to_string($1) + std::string(" not declared"));
+ delete []$1;
+ YYERROR;
+ }
+ $$ = new Relation(*r);
+ delete []$1;
+ }
+ | '(' relation ')' {$$ = $2;}
+ | relation '+' %prec p9 {
+ $$ = new Relation();
+ try {
+ *$$ = TransitiveClosure(*$1, 1, Relation::Null());
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $1;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $1;
+ }
+ | relation '*' %prec p9 {
+ $$ = new Relation();
+ try {
+ int vars = $1->n_inp();
+ *$$ = Union(Identity(vars), TransitiveClosure(*$1, 1, Relation::Null()));
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $1;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $1;
+ }
+ | relation '+' WITHIN relation %prec p9 {
+ $$ = new Relation();
+ try {
+ *$$= TransitiveClosure(*$1, 1, *$4);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $1;
+ delete $4;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $1;
+ delete $4;
+ }
+ | relation '^' '@' %prec p8 {
+ $$ = new Relation();
+ try {
+ *$$ = ApproxClosure(*$1);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $1;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $1;
+ }
+ | relation '^' '+' %prec p8 {
+ $$ = new Relation();
+ try {
+ *$$ = calculateTransitiveClosure(*$1);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $1;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $1;
+ }
+ | MINIMIZE_RANGE relation %prec p8 {
+ $$ = new Relation();
+ try {
+ Relation o(*$2);
+ Relation r(*$2);
+ r = Join(r,LexForward($2->n_out()));
+ *$$ = Difference(o,r);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | MAXIMIZE_RANGE relation %prec p8 {
+ $$ = new Relation();
+ try {
+ Relation o(*$2);
+ Relation r(*$2);
+ r = Join(r,Inverse(LexForward($2->n_out())));
+ *$$ = Difference(o,r);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | MINIMIZE_DOMAIN relation %prec p8 {
+ $$ = new Relation();
+ try {
+ Relation o(*$2);
+ Relation r(*$2);
+ r = Join(LexForward($2->n_inp()),r);
+ *$$ = Difference(o,r);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | MAXIMIZE_DOMAIN relation %prec p8 {
+ $$ = new Relation();
+ try {
+ Relation o(*$2);
+ Relation r(*$2);
+ r = Join(Inverse(LexForward($2->n_inp())),r);
+ *$$ = Difference(o,r);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | MAXIMIZE relation %prec p8 {
+ $$ = new Relation();
+ try {
+ Relation c(*$2);
+ Relation r(*$2);
+ *$$ = Cross_Product(Relation(*$2),c);
+ *$$ = Difference(r,Domain(Intersection(*$$,LexForward($$->n_inp()))));
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | MINIMIZE relation %prec p8 {
+ $$ = new Relation();
+ try {
+ Relation c(*$2);
+ Relation r(*$2);
+ *$$ = Cross_Product(Relation(*$2),c);
+ *$$ = Difference(r,Range(Intersection(*$$,LexForward($$->n_inp()))));
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | FARKAS relation %prec p8 {
+ $$ = new Relation();
+ try {
+ *$$ = Farkas(*$2, Basic_Farkas);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | DECOUPLED_FARKAS relation %prec p8 {
+ $$ = new Relation();
+ try {
+ *$$ = Farkas(*$2, Decoupled_Farkas);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | relation '@' %prec p9 {
+ $$ = new Relation();
+ try {
+ *$$ = ConicClosure(*$1);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $1;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $1;
+ }
+ | PROJECT_AWAY_SYMBOLS relation %prec p8 {
+ $$ = new Relation();
+ try {
+ *$$ = Project_Sym(*$2);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | PROJECT_ON_SYMBOLS relation %prec p8 {
+ $$ = new Relation();
+ try {
+ *$$ = Project_On_Sym(*$2);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | DIFFERENCE relation %prec p8 {
+ $$ = new Relation();
+ try {
+ *$$ = Deltas(*$2);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | DIFFERENCE_TO_RELATION relation %prec p8 {
+ $$ = new Relation();
+ try {
+ *$$ = DeltasToRelation(*$2,$2->n_set(),$2->n_set());
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | DOMAIN relation %prec p8 {
+ $$ = new Relation();
+ try {
+ *$$ = Domain(*$2);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | VENN relation %prec p8 {
+ $$ = new Relation();
+ try {
+ *$$ = VennDiagramForm(*$2,Relation::True(*$2));
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | VENN relation GIVEN relation %prec p8 {
+ $$ = new Relation();
+ try {
+ *$$ = VennDiagramForm(*$2,*$4);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ delete $4;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ delete $4;
+ }
+ | CONVEX_HULL relation %prec p8 {
+ $$ = new Relation();
+ try {
+ *$$ = ConvexHull(*$2);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | DECOUPLED_CONVEX_HULL relation %prec p8 {
+ $$ = new Relation();
+ try {
+ *$$ = DecoupledConvexHull(*$2);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | POSITIVE_COMBINATION relation %prec p8 {
+ $$ = new Relation();
+ try {
+ *$$ = Farkas(*$2,Positive_Combination_Farkas);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | LINEAR_COMBINATION relation %prec p8 {
+ $$ = new Relation();
+ try {
+ *$$ = Farkas(*$2,Linear_Combination_Farkas);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | AFFINE_COMBINATION relation %prec p8 {
+ $$ = new Relation();
+ try {
+ *$$ = Farkas(*$2,Affine_Combination_Farkas);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | CONVEX_COMBINATION relation %prec p8 {
+ $$ = new Relation();
+ try {
+ *$$ = Farkas(*$2,Convex_Combination_Farkas);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | PAIRWISE_CHECK relation %prec p8 {
+ $$ = new Relation();
+ try {
+ *$$ = CheckForConvexRepresentation(CheckForConvexPairs(*$2));
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | CONVEX_CHECK relation %prec p8 {
+ $$ = new Relation();
+ try {
+ *$$ = CheckForConvexRepresentation(*$2);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | CONVEX_REPRESENTATION relation %prec p8 {
+ $$ = new Relation();
+ try {
+ *$$ = ConvexRepresentation(*$2);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | AFFINE_HULL relation %prec p8 {
+ $$ = new Relation();
+ try {
+ *$$ = AffineHull(*$2);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | CONIC_HULL relation %prec p8 {
+ $$ = new Relation();
+ try {
+ *$$ = ConicHull(*$2);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | LINEAR_HULL relation %prec p8 {
+ $$ = new Relation();
+ try {
+ *$$ = LinearHull(*$2);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | QUICK_HULL relation %prec p8 {
+ $$ = new Relation();
+ try {
+ *$$ = QuickHull(*$2);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | RECT_HULL relation %prec p8 {
+ $$ = new Relation();
+ try {
+ *$$ = RectHull(*$2);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | HULL relation %prec p8 {
+ $$ = new Relation();
+ try {
+ *$$ = Hull(*$2,false,1,Relation::Null());
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | HULL relation GIVEN relation %prec p8 {
+ $$ = new Relation();
+ try {
+ *$$ = Hull(*$2,false,1,*$4);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ delete $4;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ delete $4;
+ }
+ | APPROX relation %prec p8 {
+ $$ = new Relation();
+ try {
+ *$$ = Approximate(*$2);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | RANGE relation %prec p8 {
+ $$ = new Relation();
+ try {
+ *$$ = Range(*$2);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | INVERSE relation %prec p8 {
+ $$ = new Relation();
+ try {
+ *$$ = Inverse(*$2);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | COMPLEMENT relation %prec p8 {
+ $$ = new Relation();
+ try {
+ *$$ = Complement(*$2);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | GIST relation GIVEN relation %prec p8 {
+ $$ = new Relation();
+ try {
+ *$$ = Gist(*$2,*$4,1);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ delete $4;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ delete $4;
+ }
+ | relation '(' relation ')' {
+ $$ = new Relation();
+ try {
+ *$$ = Composition(*$1,*$3);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $1;
+ delete $3;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $1;
+ delete $3;
+ }
+ | relation COMPOSE relation {
+ $$ = new Relation();
+ try {
+ *$$ = Composition(*$1,*$3);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $1;
+ delete $3;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $1;
+ delete $3;
+ }
+ | relation CARRIED_BY INT {
+ $$ = new Relation();
+ try {
+ *$$ = After(*$1,$3,$3);
+ (*$$).prefix_print(stdout);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $1;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $1;
+ }
+ | relation JOIN relation {
+ $$ = new Relation();
+ try {
+ *$$ = Composition(*$3,*$1);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $1;
+ delete $3;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $1;
+ delete $3;
+ }
+ | relation RESTRICT_RANGE relation {
+ $$ = new Relation();
+ try {
+ *$$ = Restrict_Range(*$1,*$3);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $1;
+ delete $3;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $1;
+ delete $3;
+ }
+ | relation RESTRICT_DOMAIN relation {
+ $$ = new Relation();
+ try {
+ *$$ = Restrict_Domain(*$1,*$3);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $1;
+ delete $3;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $1;
+ delete $3;
+ }
+ | relation INTERSECTION relation {
+ $$ = new Relation();
+ try {
+ *$$ = Intersection(*$1,*$3);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $1;
+ delete $3;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $1;
+ delete $3;
+ }
+ | relation '-' relation %prec INTERSECTION {
+ $$ = new Relation();
+ try {
+ *$$ = Difference(*$1,*$3);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $1;
+ delete $3;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $1;
+ delete $3;
+ }
+ | relation UNION relation {
+ $$ = new Relation();
+ try {
+ *$$ = Union(*$1,*$3);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $1;
+ delete $3;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $1;
+ delete $3;
+ }
+ | relation '*' relation {
+ $$ = new Relation();
+ try {
+ *$$ = Cross_Product(*$1,*$3);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $1;
+ delete $3;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $1;
+ delete $3;
+ }
+ | SUPERSETOF relation {
+ $$ = new Relation();
+ try {
+ *$$ = Union(*$2, Relation::Unknown(*$2));
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | SUBSETOF relation {
+ $$ = new Relation();
+ try {
+ *$$ = Intersection(*$2, Relation::Unknown(*$2));
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | MAKE_UPPER_BOUND relation %prec p8 {
+ $$ = new Relation();
+ try {
+ *$$ = Upper_Bound(*$2);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | MAKE_LOWER_BOUND relation %prec p8 {
+ $$ = new Relation();
+ try {
+ *$$ = Lower_Bound(*$2);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | SAMPLE relation {
+ $$ = new Relation();
+ try {
+ *$$ = Sample_Solution(*$2);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | SYM_SAMPLE relation {
+ $$ = new Relation();
+ try {
+ *$$ = Symbolic_Solution(*$2);
+ }
+ catch (const std::exception &e) {
+ delete $$;
+ delete $2;
+ yyerror(e.what());
+ YYERROR;
+ }
+ delete $2;
+ }
+ | reachable_of { $$ = $1; }
+ | ASSERT_UNSAT relation {
+ if (($2)->is_satisfiable()) {
+ fprintf(stderr,"assert_unsatisfiable failed on ");
+ ($2)->print_with_subs(stderr);
+ exit(1);
+ }
+ $$=$2;
+ }
+;
+
+builtRelation : tupleDeclaration GOES_TO {currentTuple = Output_Tuple;}
+ tupleDeclaration {currentTuple = Input_Tuple;} optionalFormula {
+ Relation * r = new Relation($1->size,$4->size);
+ resetGlobals();
+ F_And *f = r->add_and();
+ for(int i=1;i<=$1->size;i++) {
+ $1->vars[i]->vid = r->input_var(i);
+ if (!$1->vars[i]->anonymous)
+ r->name_input_var(i,$1->vars[i]->stripped_name);
+ }
+ for(int i=1;i<=$4->size;i++) {
+ $4->vars[i]->vid = r->output_var(i);
+ if (!$4->vars[i]->anonymous)
+ r->name_output_var(i,$4->vars[i]->stripped_name);
+ }
+ r->setup_names();
+ foreach(e,Exp*,$1->eq_constraints, install_eq(f,e,0));
+ foreach(e,Exp*,$1->geq_constraints, install_geq(f,e,0));
+ foreach(c,strideConstraint*,$1->stride_constraints, install_stride(f,c));
+ foreach(e,Exp*,$4->eq_constraints, install_eq(f,e,0));
+ foreach(e,Exp*,$4->geq_constraints, install_geq(f,e,0));
+ foreach(c,strideConstraint*,$4->stride_constraints, install_stride(f,c));
+ if ($6) $6->install(f);
+ delete $1;
+ delete $4;
+ delete $6;
+ $$ = r;
+ }
+ | tupleDeclaration optionalFormula {
+ Relation * r = new Relation($1->size);
+ resetGlobals();
+ F_And *f = r->add_and();
+ for(int i=1;i<=$1->size;i++) {
+ $1->vars[i]->vid = r->set_var(i);
+ if (!$1->vars[i]->anonymous)
+ r->name_set_var(i,$1->vars[i]->stripped_name);
+ }
+ r->setup_names();
+ foreach(e,Exp*,$1->eq_constraints, install_eq(f,e,0));
+ foreach(e,Exp*,$1->geq_constraints, install_geq(f,e,0));
+ foreach(c,strideConstraint*,$1->stride_constraints, install_stride(f,c));
+ if ($2) $2->install(f);
+ delete $1;
+ delete $2;
+ $$ = r;
+ }
+ | formula {
+ Relation * r = new Relation(0,0);
+ F_And *f = r->add_and();
+ $1->install(f);
+ delete $1;
+ $$ = r;
+ }
+;
+
+optionalFormula : formula_sep formula {$$ = $2;}
+ | {$$ = 0;}
+;
+
+formula_sep : ':'
+ | VERTICAL_BAR
+ | SUCH_THAT
+;
+
+tupleDeclaration : {currentTupleDescriptor = new tupleDescriptor; tuplePos = 1;}
+ '[' optionalTupleVarList ']'
+ {$$ = currentTupleDescriptor; tuplePos = 0;}
+;
+
+optionalTupleVarList : /* empty */
+ | tupleVar
+ | optionalTupleVarList ',' tupleVar
+;
+
+tupleVar : VAR %prec p10 {
+ Declaration_Site *ds = defined($1);
+ if (!ds)
+ currentTupleDescriptor->extend($1,currentTuple,tuplePos);
+ else {
+ Variable_Ref *v = lookupScalar($1);
+ if (v == NULL) {
+ yyerror(std::string("cannot find declaration for variable ") + to_string($1));
+ delete []$1;
+ YYERROR;
+ }
+ if (ds != globalDecls)
+ currentTupleDescriptor->extend($1, new Exp(v));
+ else
+ currentTupleDescriptor->extend(new Exp(v));
+ }
+ tuplePos++;
+ delete []$1;
+ }
+ | '*' {currentTupleDescriptor->extend(); tuplePos++;}
+ | exp %prec p1 {
+ currentTupleDescriptor->extend($1);
+ tuplePos++;
+ }
+ | exp ':' exp %prec p1 {
+ currentTupleDescriptor->extend($1,$3);
+ tuplePos++;
+ }
+ | exp ':' exp ':' COEF %prec p1 {
+ currentTupleDescriptor->extend($1,$3,$5);
+ tuplePos++;
+ }
+;
+
+varList : varList ',' VAR {$$ = $1; $$->insert($3); $3 = NULL;}
+ | VAR {$$ = new VarList; $$->insert($1); $1 = NULL;}
+;
+
+varDecl : varList {
+ $$ = current_Declaration_Site = new Declaration_Site($1);
+ foreach(s,char *, *$1, delete []s);
+ delete $1;
+ }
+;
+
+varDeclOptBrackets : varDecl {$$ = $1;}
+ |'[' varDecl ']' {$$ = $2;}
+;
+
+globVarList : globVarList ',' globVar
+ | globVar
+;
+
+globVar : VAR '(' INT ')' {globalDecls->extend_both_tuples($1, $3); delete []$1;}
+ | VAR {
+ globalDecls->extend($1);
+ delete []$1;
+ }
+;
+
+formula : formula AND formula {$$ = new AST_And($1,$3);}
+ | formula OR formula {$$ = new AST_Or($1,$3);}
+ | constraintChain {$$ = $1;}
+ | '(' formula ')' {$$ = $2;}
+ | NOT formula {$$ = new AST_Not($2);}
+ | start_exists varDeclOptBrackets exists_sep formula end_quant {$$ = new AST_exists($2,$4);}
+ | start_forall varDeclOptBrackets forall_sep formula end_quant {$$ = new AST_forall($2,$4);}
+;
+
+start_exists : '(' EXISTS
+ | EXISTS '('
+;
+
+exists_sep : ':'
+ | VERTICAL_BAR
+ | SUCH_THAT
+;
+
+start_forall : '(' FORALL
+ | FORALL '('
+;
+
+forall_sep : ':'
+;
+
+end_quant : ')' {popScope();}
+;
+
+expList : exp ',' expList {$$ = $3; $$->insert($1);}
+ | exp {$$ = new ExpList; $$->insert($1);}
+;
+
+constraintChain : expList REL_OP expList {$$ = new AST_constraints($1,$2,$3);}
+ | expList REL_OP constraintChain {$$ = new AST_constraints($1,$2,$3);}
+;
+
+simpleExp : VAR %prec p9 {
+ Variable_Ref *v = lookupScalar($1);
+ if (v == NULL) {
+ yyerror(std::string("cannot find declaration for variable ") + to_string($1));
+ delete []$1;
+ YYERROR;
+ }
+ $$ = new Exp(v);
+ delete []$1;
+ }
+ | VAR '(' {argCount = 1;} argumentList ')' %prec p9 {
+ Variable_Ref *v;
+ if ($4 == Input_Tuple)
+ v = functionOfInput[$1];
+ else
+ v = functionOfOutput[$1];
+ if (v == NULL) {
+ yyerror(std::string("Function ") + to_string($1) + std::string(" not declared"));
+ delete []$1;
+ YYERROR;
+ }
+ $$ = new Exp(v);
+ delete []$1;
+ }
+ | '(' exp ')' { $$ = $2; }
+;
+
+argumentList : argumentList ',' VAR {
+ Variable_Ref *v = lookupScalar($3);
+ if (v == NULL) {
+ yyerror(std::string("cannot find declaration for variable ") + to_string($1));
+ delete []$3;
+ YYERROR;
+ }
+ if (v->pos != argCount || v->of != $1 || (v->of != Input_Tuple && v->of != Output_Tuple)) {
+ yyerror("arguments to function must be prefix of input or output tuple");
+ delete []$3;
+ YYERROR;
+ }
+ $$ = v->of;
+ argCount++;
+ delete []$3;
+ }
+ | VAR {
+ Variable_Ref *v = lookupScalar($1);
+ if (v == NULL) {
+ yyerror(std::string("cannot find declaration for variable ") + to_string($1));
+ delete []$1;
+ YYERROR;
+ }
+ if (v->pos != argCount || (v->of != Input_Tuple && v->of != Output_Tuple)) {
+ yyerror("arguments to function must be prefix of input or output tuple");
+ delete []$1;
+ YYERROR;
+ }
+ $$ = v->of;
+ argCount++;
+ delete []$1;
+ }
+;
+
+exp : COEF {$$ = new Exp($1);}
+ | COEF simpleExp %prec '*' {$$ = multiply($1,$2);}
+ | simpleExp {$$ = $1; }
+ | '-' exp %prec '*' {$$ = negate($2);}
+ | exp '+' exp {$$ = add($1,$3);}
+ | exp '-' exp {$$ = subtract($1,$3);}
+ | exp '*' exp {$$ = multiply($1,$3);}
+;
+
+
+reachable : REACHABLE_FROM nodeNameList nodeSpecificationList {
+ Dynamic_Array1<Relation> *final = Reachable_Nodes(reachable_info);
+ $$ = final;
+ }
+;
+
+reachable_of : REACHABLE_OF VAR IN nodeNameList nodeSpecificationList {
+ Dynamic_Array1<Relation> *final = Reachable_Nodes(reachable_info);
+ int index = reachable_info->node_names.index(std::string($2));
+ if (index == 0) {
+ yyerror(std::string("no such node ") + to_string($2));
+ delete []$2;
+ delete final;
+ delete reachable_info;
+ YYERROR;
+ }
+ $$ = new Relation;
+ *$$ = (*final)[index];
+ delete final;
+ delete reachable_info;
+ delete []$2;
+ }
+;
+
+nodeNameList : '(' realNodeNameList ')' {
+ int sz = reachable_info->node_names.size();
+ reachable_info->node_arity.reallocate(sz);
+ reachable_info->transitions.resize(sz+1,sz+1);
+ reachable_info->start_nodes.resize(sz+1);
+ }
+;
+
+realNodeNameList : realNodeNameList ',' VAR {
+ reachable_info->node_names.append(std::string($3));
+ delete []$3;
+ }
+ | VAR {
+ reachable_info = new reachable_information;
+ reachable_info->node_names.append(std::string($1));
+ delete []$1;
+ }
+;
+
+
+nodeSpecificationList : OPEN_BRACE realNodeSpecificationList CLOSE_BRACE {
+ int i,j;
+ int n_nodes = reachable_info->node_names.size();
+ Tuple<int> &arity = reachable_info->node_arity;
+ Dynamic_Array2<Relation> &transitions = reachable_info->transitions;
+
+ /* fixup unspecified transitions to be false */
+ /* find arity */
+ for(i = 1; i <= n_nodes; i++) arity[i] = -1;
+ for(i = 1; i <= n_nodes; i++)
+ for(j = 1; j <= n_nodes; j++)
+ if(! transitions[i][j].is_null()) {
+ int in_arity = transitions[i][j].n_inp();
+ int out_arity = transitions[i][j].n_out();
+ if(arity[i] < 0) arity[i] = in_arity;
+ if(arity[j] < 0) arity[j] = out_arity;
+ if(in_arity != arity[i] || out_arity != arity[j]) {
+ yyerror(std::string("arity mismatch in node transition: ") + to_string(reachable_info->node_names[i]) + std::string(" -> ") + to_string(reachable_info->node_names[j]));
+ delete reachable_info;
+ YYERROR;
+ }
+ }
+ for(i = 1; i <= n_nodes; i++)
+ if(arity[i] < 0) arity[i] = 0;
+ /* Fill in false relations */
+ for(i = 1; i <= n_nodes; i++)
+ for(j = 1; j <= n_nodes; j++)
+ if(transitions[i][j].is_null())
+ transitions[i][j] = Relation::False(arity[i],arity[j]);
+
+ /* fixup unused start node positions */
+ Dynamic_Array1<Relation> &nodes = reachable_info->start_nodes;
+ for(i = 1; i <= n_nodes; i++)
+ if(nodes[i].is_null())
+ nodes[i] = Relation::False(arity[i]);
+ else
+ if(nodes[i].n_set() != arity[i]){
+ yyerror(std::string("arity mismatch in start node ") + to_string(reachable_info->node_names[i]));
+ delete reachable_info;
+ YYERROR;
+ }
+ }
+;
+
+realNodeSpecificationList : realNodeSpecificationList ',' VAR ':' relation {
+ int n_nodes = reachable_info->node_names.size();
+ int index = reachable_info->node_names.index($3);
+ if (!(index > 0 && index <= n_nodes)) {
+ yyerror(std::string("no such node ")+to_string($3));
+ delete $5;
+ delete []$3;
+ delete reachable_info;
+ YYERROR;
+ }
+ reachable_info->start_nodes[index] = *$5;
+ delete $5;
+ delete []$3;
+ }
+ | realNodeSpecificationList ',' VAR GOES_TO VAR ':' relation {
+ int n_nodes = reachable_info->node_names.size();
+ int from_index = reachable_info->node_names.index($3);
+ if (!(from_index > 0 && from_index <= n_nodes)) {
+ yyerror(std::string("no such node ")+to_string($3));
+ delete $7;
+ delete []$3;
+ delete []$5;
+ delete reachable_info;
+ YYERROR;
+ }
+ int to_index = reachable_info->node_names.index($5);
+ if (!(to_index > 0 && to_index <= n_nodes)) {
+ yyerror(std::string("no such node ")+to_string($5));
+ delete $7;
+ delete []$3;
+ delete []$5;
+ delete reachable_info;
+ YYERROR;
+ }
+ reachable_info->transitions[from_index][to_index] = *$7;
+ delete $7;
+ delete []$3;
+ delete []$5;
+ }
+ | VAR GOES_TO VAR ':' relation {
+ int n_nodes = reachable_info->node_names.size();
+ int from_index = reachable_info->node_names.index($1);
+ if (!(from_index > 0 && from_index <= n_nodes)) {
+ yyerror(std::string("no such node ")+to_string($1));
+ delete $5;
+ delete []$1;
+ delete []$3;
+ delete reachable_info;
+ YYERROR;
+ }
+ int to_index = reachable_info->node_names.index($3);
+ if (!(to_index > 0 && to_index <= n_nodes)) {
+ yyerror(std::string("no such node ")+to_string($3));
+ delete $5;
+ delete []$1;
+ delete []$3;
+ delete reachable_info;
+ YYERROR;
+ }
+ reachable_info->transitions[from_index][to_index] = *$5;
+ delete $5;
+ delete []$1;
+ delete []$3;
+ }
+ | VAR ':' relation {
+ int n_nodes = reachable_info->node_names.size();
+ int index = reachable_info->node_names.index($1);
+ if (!(index > 0 && index <= n_nodes)) {
+ yyerror(std::string("no such node ")+to_string($1));
+ delete $3;
+ delete []$1;
+ delete reachable_info;
+ YYERROR;
+ }
+ reachable_info->start_nodes[index] = *$3;
+ delete $3;
+ delete []$1;
+ }
+;
+
+%%
+
+
+void printUsage(FILE *outf, char **argv) {
+ fprintf(outf, "usage: %s {-R} {-D[facility][level]...} infile\n -R means skip redundant conjunct elimination\n -D sets debugging level as follows:\n a = all debugging flags\n g = code generation\n l = calculator\n c = omega core\n p = presburger functions\n r = relational operators\n t = transitive closure\n", argv[0]);
+}
+
+
+bool process_calc_debugging_flags(char *arg,int &j) {
+ char debug_type;
+ while((debug_type=arg[j]) != 0) {
+ j++;
+ int level;
+ if(isdigit(arg[j]))
+ level = (arg[j++]) - '0';
+ else
+ if(arg[j] == 0 || isalpha(arg[j]))
+ level = 1;
+ else
+ return false;
+ if (level < 0 || level > 4) {
+ fprintf(stderr,"Debug level %c out of range: %d\n", debug_type, level);
+ return false;
+ }
+ switch(debug_type) {
+ case 'a':
+ omega_core_debug = relation_debug = hull_debug =
+ closure_presburger_debug =
+ farkas_debug =
+ pres_debug = omega_calc_debug = code_gen_debug = level;
+ break;
+ case 'g':
+ code_gen_debug = level; break;
+ case 'f':
+ farkas_debug = level; break;
+ case 'h':
+ hull_debug = level; break;
+ case 'c':
+ omega_core_debug = level; break;
+ case 'r':
+ relation_debug = level; break;
+ case 'p':
+ pres_debug = level; break;
+ case 't':
+ closure_presburger_debug = level; break;
+ case 'l':
+ omega_calc_debug = level; break;
+#if defined STUDY_EVACUATIONS
+ case 'e':
+ evac_debug = level; break;
+#endif
+ default:
+ fprintf(stderr, "Unknown debug type %c\n", debug_type);
+ return false;
+ }
+ }
+ return true;
+}
+
+
+int main(int argc, char **argv) {
+#if YYDEBUG != 0
+ yydebug = 1;
+#endif
+
+ /* process flags */
+ char *fileName = 0;
+ for(int i=1; i<argc; i++) {
+ if(argv[i][0] == '-') {
+ int j = 1, c;
+ while((c=argv[i][j++]) != 0) {
+ switch(c) {
+ case 'D':
+ if (!process_calc_debugging_flags(argv[i],j)) {
+ printUsage(stderr, argv);
+ exit(1);
+ }
+ break;
+ case 'G':
+ fprintf(stderr,"Note: specifying number of GEQ's is no longer useful.\n");
+ while(argv[i][j] != 0) j++;
+ break;
+ case 'E':
+ fprintf(stderr,"Note: specifying number of EQ's is no longer useful.\n");
+ while(argv[i][j] != 0) j++;
+ break;
+ case 'R':
+ redundant_conj_level = 1;
+ break;
+ /* Other future options go here */
+ case 'h':
+ printUsage(stderr, argv);
+ exit(1);
+ break;
+ default:
+ fprintf(stderr, "\nUnknown flag -%c\n", c);
+ printUsage(stderr, argv);
+ exit(1);
+ }
+ }
+ }
+ else {
+ /* Make sure this is a file name */
+ if (fileName) {
+ fprintf(stderr,"\nCan only handle a single input file\n");
+ printUsage(stderr,argv);
+ exit(1);
+ }
+ fileName = argv[i];
+ yyin = fopen(fileName, "r");
+ if (!yyin) {
+ fprintf(stderr, "\nCan't open input file %s\n",fileName);
+ printUsage(stderr,argv);
+ exit(1);
+ }
+ }
+ }
+
+ if (fileName || !isatty((int)fileno(stdin))) {
+ is_interactive = false;
+ }
+ else {
+ is_interactive = true;
+ setbuf(DebugFile, NULL);
+ printf("Calculator for Omega+ v20110204snapshot (built on %s)\n", OMEGA_BUILD_DATE);
+ printf("Copyright (C) 1994-2000 University of Maryland the Omega Project Team\n");
+ printf("Copyright (C) 2008 University of Southern California\n");
+ printf("Copyright (C) 2009-2011 University of Utah\n");
+ printf("%s ", PROMPT_STRING);
+ }
+ need_coef = false;
+ current_Declaration_Site = globalDecls = new Global_Declaration_Site();
+
+ if (yyparse() != 0) {
+ if (!is_interactive)
+ std::cout << "syntax error at the end of the file, missing ';'" << std::endl;
+ else
+ std::cout << std::endl;
+ delete relationDecl;
+ relationDecl = NULL;
+ }
+ else {
+ if (is_interactive)
+ std::cout << std::endl;
+ }
+
+ foreach_map(cs,Const_String,r,Relation *,relationMap,
+ {delete r; relationMap[cs]=0;});
+ delete globalDecls;
+ fclose(yyin);
+
+ return 0;
+}
+
+Relation LexForward(int n) {
+ Relation r(n,n);
+ F_Or *f = r.add_or();
+ for (int i=1; i <= n; i++) {
+ F_And *g = f->add_and();
+ for(int j=1;j<i;j++) {
+ EQ_Handle e = g->add_EQ();
+ e.update_coef(r.input_var(j),-1);
+ e.update_coef(r.output_var(j),1);
+ e.finalize();
+ }
+ GEQ_Handle e = g->add_GEQ();
+ e.update_coef(r.input_var(i),-1);
+ e.update_coef(r.output_var(i),1);
+ e.update_const(-1);
+ e.finalize();
+ }
+ r.finalize();
+ return r;
+}