Value *compute_poly(Enumeration *en,Value *list_args) {
Value *tmp;
/* double d; int i; */
tmp = (Value *) malloc (sizeof(Value));
assert(tmp != NULL);
value_init(*tmp);
value_set_si(*tmp,0);
if(!en)
return(tmp); /* no ehrhart polynomial */
if(en->ValidityDomain) {
if(!en->ValidityDomain->Dimension) { /* no parameters */
value_set_double(*tmp,compute_evalue(&en->EP,list_args)+.25);
return(tmp);
}
}
else
return(tmp); /* no Validity Domain */
while(en) {
if(in_domain(en->ValidityDomain,list_args)) {
#ifdef EVAL_EHRHART_DEBUG
Print_Domain(stdout,en->ValidityDomain,NULL);
print_evalue(stdout,&en->EP,NULL);
#endif
/* d = compute_evalue(&en->EP,list_args);
i = d;
printf("(double)%lf = %d\n", d, i ); */
value_set_double(*tmp,compute_evalue(&en->EP,list_args)+.25);
return(tmp);
}
else
en=en->next;
}
value_set_si(*tmp,0);
return(tmp); /* no compatible domain with the arguments */
} /* compute_poly */
int main(int argc, char **argv)
{
int i;
char str[1024];
Matrix *C1, *P1;
Polyhedron *C, *P;
Enumeration *en;
const char **param_name;
int c, ind = 0;
int hom = 0;
#ifdef EP_EVALUATION
Value *p, *tmp;
int k;
#endif
while ((c = getopt_long(argc, argv, "h", options, &ind)) != -1) {
switch (c) {
case 'h':
hom = 1;
break;
}
}
P1 = Matrix_Read();
C1 = Matrix_Read();
if(C1->NbColumns < 2) {
fprintf( stderr, "Not enough parameters !\n" );
exit(0);
}
if (hom) {
Matrix *C2, *P2;
P2 = AddANullColumn(P1);
Matrix_Free(P1);
P1 = P2;
C2 = AddANullColumn(C1);
Matrix_Free(C1);
C1 = C2;
}
P = Constraints2Polyhedron(P1,WS);
C = Constraints2Polyhedron(C1,WS);
Matrix_Free(P1);
Matrix_Free(C1);
/* Read the name of the parameters */
param_name = Read_ParamNames(stdin,C->Dimension - hom);
if (hom) {
const char **param_name2;
param_name2 = (const char**)malloc(sizeof(char*) * (C->Dimension));
for (i = 0; i < C->Dimension - 1; i++)
param_name2[i] = param_name[i];
param_name2[C->Dimension-1] = "_H";
free(param_name);
param_name=param_name2;
}
en = Polyhedron_Enumerate(P,C,WS,param_name);
if (hom) {
Enumeration *en2;
printf("inhomogeneous form:\n");
dehomogenize_enumeration(en, C->Dimension, WS);
for (en2 = en; en2; en2 = en2->next) {
Print_Domain(stdout, en2->ValidityDomain, param_name);
print_evalue(stdout, &en2->EP, param_name);
}
}
#ifdef EP_EVALUATION
if( isatty(0) && C->Dimension != 0)
{ /* no tty input or no polyhedron -> no evaluation. */
printf("Evaluation of the Ehrhart polynomial :\n");
p = (Value *)malloc(sizeof(Value) * (C->Dimension));
for(i=0;i<C->Dimension;i++)
value_init(p[i]);
FOREVER {
fflush(stdin);
printf("Enter %d parameters : ",C->Dimension);
for(k=0;k<C->Dimension;++k) {
scanf("%s",str);
value_read(p[k],str);
}
fprintf(stdout,"EP( ");
value_print(stdout,VALUE_FMT,p[0]);
for(k=1;k<C->Dimension;++k) {
fprintf(stdout,",");
value_print(stdout,VALUE_FMT,p[k]);
}
fprintf(stdout," ) = ");
value_print(stdout,VALUE_FMT,*(tmp=compute_poly(en,p)));
free(tmp);
fprintf(stdout,"\n");
}
}
int main( int argc, char **argv)
{
int i;
const char **param_name;
Matrix *C1, *P1;
Polyhedron *P, *C;
Enumeration *e, *en;
Matrix * Validity_Lattice;
int nb_parms;
#ifdef EP_EVALUATION
Value *p, *tmp;
int k;
#endif
P1 = Matrix_Read();
C1 = Matrix_Read();
nb_parms = C1->NbColumns-2;
if(nb_parms < 0) {
fprintf( stderr, "Not enough parameters !\n" );
exit(0);
}
/* Read the name of the parameters */
param_name = Read_ParamNames(stdin,nb_parms);
/* inflate the polyhedron, so that the inflated EP approximation will be an
upper bound for the EP's polyhedron. */
mpolyhedron_deflate(P1,nb_parms);
/* compute a polynomial approximation of the Ehrhart polynomial */
e = Ehrhart_Quick_Apx(P1, C1, &Validity_Lattice, 1024);
Matrix_Free(C1);
Matrix_Free(P1);
printf("============ Ehrhart polynomial quick polynomial lower bound ============\n");
show_matrix(Validity_Lattice);
for( en=e ; en ; en=en->next ) {
Print_Domain(stdout,en->ValidityDomain, param_name);
print_evalue(stdout,&en->EP, param_name);
printf( "\n-----------------------------------\n" );
}
#ifdef EP_EVALUATION
if( isatty(0) && nb_parms != 0)
{ /* no tty input or no polyhedron -> no evaluation. */
printf("Evaluation of the Ehrhart polynomial :\n");
p = (Value *)malloc(sizeof(Value) * (nb_parms));
for(i=0;i<nb_parms;i++)
value_init(p[i]);
FOREVER {
fflush(stdin);
printf("Enter %d parameters : ",nb_parms);
for(k=0;k<nb_parms;++k) {
scanf("%s",str);
value_read(p[k],str);
}
fprintf(stdout,"EP( ");
value_print(stdout,VALUE_FMT,p[0]);
for(k=1;k<nb_parms;++k) {
fprintf(stdout,",");
value_print(stdout,VALUE_FMT,p[k]);
}
fprintf(stdout," ) = ");
value_print(stdout,VALUE_FMT,*(tmp=compute_poly(en,p)));
free(tmp);
fprintf(stdout,"\n");
}
}
/**
* Tests Constraints_fullDimensionize by comparing the Ehrhart polynomials
* @param A the input set of constraints
* @param B the corresponding context
* @param the number of samples to generate for the test
* @return 1 if the Ehrhart polynomial had the same value for the
* full-dimensional and non-full-dimensional sets of constraints, for their
* corresponding sample parameters values.
*/
int test_Constraints_fullDimensionize(Matrix * A, Matrix * B,
unsigned int nbSamples) {
Matrix * Eqs= NULL, *ParmEqs=NULL, *VL=NULL;
unsigned int * elimVars=NULL, * elimParms=NULL;
Matrix * sample, * smallerSample=NULL;
Matrix * transfSample=NULL;
Matrix * parmVL=NULL;
unsigned int i, j, r, nbOrigParms, nbParms;
Value div, mod, *origVal=NULL, *fullVal=NULL;
Matrix * VLInv;
Polyhedron * P, *PC;
Matrix * M, *C;
Enumeration * origEP, * fullEP=NULL;
const char **fullNames = NULL;
int isOk = 1; /* holds the result */
/* compute the origial Ehrhart polynomial */
M = Matrix_Copy(A);
C = Matrix_Copy(B);
P = Constraints2Polyhedron(M, maxRays);
PC = Constraints2Polyhedron(C, maxRays);
origEP = Polyhedron_Enumerate(P, PC, maxRays, origNames);
Matrix_Free(M);
Matrix_Free(C);
Polyhedron_Free(P);
Polyhedron_Free(PC);
/* compute the full-dimensional polyhedron corresponding to A and its Ehrhart
polynomial */
M = Matrix_Copy(A);
C = Matrix_Copy(B);
nbOrigParms = B->NbColumns-2;
Constraints_fullDimensionize(&M, &C, &VL, &Eqs, &ParmEqs,
&elimVars, &elimParms, maxRays);
if ((Eqs->NbRows==0) && (ParmEqs->NbRows==0)) {
Matrix_Free(M);
Matrix_Free(C);
Matrix_Free(Eqs);
Matrix_Free(ParmEqs);
free(elimVars);
free(elimParms);
return 1;
}
nbParms = C->NbColumns-2;
P = Constraints2Polyhedron(M, maxRays);
PC = Constraints2Polyhedron(C, maxRays);
namesWithoutElim(origNames, nbOrigParms, elimParms, &fullNames);
fullEP = Polyhedron_Enumerate(P, PC, maxRays, fullNames);
Matrix_Free(M);
Matrix_Free(C);
Polyhedron_Free(P);
Polyhedron_Free(PC);
/* make a set of sample parameter values and compare the corresponding
Ehrhart polnomials */
sample = Matrix_Alloc(1,nbOrigParms);
transfSample = Matrix_Alloc(1, nbParms);
Lattice_extractSubLattice(VL, nbParms, &parmVL);
VLInv = Matrix_Alloc(parmVL->NbRows, parmVL->NbRows+1);
MatInverse(parmVL, VLInv);
if (dbg) {
show_matrix(parmVL);
show_matrix(VLInv);
}
srand(nbSamples);
value_init(mod);
value_init(div);
for (i = 0; i< nbSamples; i++) {
/* create a random sample */
for (j=0; j< nbOrigParms; j++) {
value_set_si(sample->p[0][j], rand()%100);
}
/* compute the corresponding value for the full-dimensional
constraints */
valuesWithoutElim(sample, elimParms, &smallerSample);
/* (N' i' 1)^T = VLinv.(N i 1)^T*/
for (r = 0; r < nbParms; r++) {
Inner_Product(&(VLInv->p[r][0]), smallerSample->p[0], nbParms,
&(transfSample->p[0][r]));
/* add the constant part */
value_addto(transfSample->p[0][r], transfSample->p[0][r],
VLInv->p[r][VLInv->NbColumns-2]);
value_pdivision(div, transfSample->p[0][r],
VLInv->p[r][VLInv->NbColumns-1]);
value_subtract(mod, transfSample->p[0][r], div);
/* if the parameters value does not belong to the validity lattice, the
Ehrhart polynomial is zero. */
if (!value_zero_p(mod)) {
fullEP = Enumeration_zero(nbParms, maxRays);
break;
}
}
/* compare the two forms of the Ehrhart polynomial.*/
if (origEP ==NULL) break; /* NULL has loose semantics for EPs */
origVal = compute_poly(origEP, sample->p[0]);
fullVal = compute_poly(fullEP, transfSample->p[0]);
if (!value_eq(*origVal, *fullVal)) {
isOk = 0;
printf("EPs don't match. \n Original value = ");
value_print(stdout, VALUE_FMT, *origVal);
printf("\n Original sample = [");
for (j=0; j<sample->NbColumns; j++) {
value_print(stdout, VALUE_FMT, sample->p[0][j]);
printf(" ");
}
printf("] \n EP = ");
if(origEP!=NULL) {
print_evalue(stdout, &(origEP->EP), origNames);
}
else {
printf("NULL");
}
printf(" \n Full-dimensional value = ");
value_print(stdout, P_VALUE_FMT, *fullVal);
printf("\n full-dimensional sample = [");
for (j=0; j<sample->NbColumns; j++) {
value_print(stdout, VALUE_FMT, transfSample->p[0][j]);
printf(" ");
}
printf("] \n EP = ");
if(origEP!=NULL) {
print_evalue(stdout, &(origEP->EP), fullNames);
}
else {
printf("NULL");
}
}
if (dbg) {
printf("\nOriginal value = ");
value_print(stdout, VALUE_FMT, *origVal);
printf("\nFull-dimensional value = ");
value_print(stdout, P_VALUE_FMT, *fullVal);
printf("\n");
}
value_clear(*origVal);
value_clear(*fullVal);
}
value_clear(mod);
value_clear(div);
Matrix_Free(sample);
Matrix_Free(smallerSample);
Matrix_Free(transfSample);
Enumeration_Free(origEP);
Enumeration_Free(fullEP);
return isOk;
} /* test_Constraints_fullDimensionize */
int main(int argc, char **argv)
{
isl_ctx *ctx;
int i, nbPol, nbVec, nbMat, func, j, n;
Polyhedron *A, *B, *C, *D, *E, *F, *G;
char s[128];
struct barvinok_options *options = barvinok_options_new_with_defaults();
argc = barvinok_options_parse(options, argc, argv, ISL_ARG_ALL);
ctx = isl_ctx_alloc_with_options(&barvinok_options_args, options);
nbPol = nbVec = nbMat = 0;
fgets(s, 128, stdin);
while ((*s=='#') ||
((sscanf(s, "D %d", &nbPol) < 1) &&
(sscanf(s, "V %d", &nbVec) < 1) &&
(sscanf(s, "M %d", &nbMat) < 1)))
fgets(s, 128, stdin);
for (i = 0; i < nbPol; ++i) {
Matrix *M = Matrix_Read();
A = Constraints2Polyhedron(M, options->MaxRays);
Matrix_Free(M);
fgets(s, 128, stdin);
while ((*s=='#') || (sscanf(s, "F %d", &func)<1))
fgets(s, 128, stdin);
switch(func) {
case 0: {
Value cb, ck;
value_init(cb);
value_init(ck);
fgets(s, 128, stdin);
/* workaround for apparent bug in older gmps */
*strchr(s, '\n') = '\0';
while ((*s=='#') || (value_read(ck, s) != 0)) {
fgets(s, 128, stdin);
/* workaround for apparent bug in older gmps */
*strchr(s, '\n') = '\0';
}
barvinok_count_with_options(A, &cb, options);
if (value_ne(cb, ck))
return -1;
value_clear(cb);
value_clear(ck);
break;
}
case 1:
Polyhedron_Print(stdout, P_VALUE_FMT, A);
B = Polyhedron_Polar(A, options->MaxRays);
Polyhedron_Print(stdout, P_VALUE_FMT, B);
C = Polyhedron_Polar(B, options->MaxRays);
Polyhedron_Print(stdout, P_VALUE_FMT, C);
Polyhedron_Free(C);
Polyhedron_Free(B);
break;
case 2:
Polyhedron_Print(stdout, P_VALUE_FMT, A);
for (j = 0; j < A->NbRays; ++j) {
B = supporting_cone(A, j);
Polyhedron_Print(stdout, P_VALUE_FMT, B);
Polyhedron_Free(B);
}
break;
case 3:
Polyhedron_Print(stdout, P_VALUE_FMT, A);
C = B = NULL;
barvinok_decompose(A,&B,&C);
puts("Pos:");
Polyhedron_Print(stdout, P_VALUE_FMT, B);
puts("Neg:");
Polyhedron_Print(stdout, P_VALUE_FMT, C);
Domain_Free(B);
Domain_Free(C);
break;
case 4: {
Value cm, cb;
struct tms tms_before, tms_between, tms_after;
value_init(cm);
value_init(cb);
Polyhedron_Print(stdout, P_VALUE_FMT, A);
times(&tms_before);
manual_count(A, &cm);
times(&tms_between);
barvinok_count(A, &cb, 100);
times(&tms_after);
printf("manual: ");
value_print(stdout, P_VALUE_FMT, cm);
puts("");
time_diff(&tms_before, &tms_between);
printf("Barvinok: ");
value_print(stdout, P_VALUE_FMT, cb);
puts("");
time_diff(&tms_between, &tms_after);
value_clear(cm);
value_clear(cb);
break;
}
case 5:
Polyhedron_Print(stdout, P_VALUE_FMT, A);
B = triangulate_cone(A, 100);
Polyhedron_Print(stdout, P_VALUE_FMT, B);
check_triangulization(A, B);
Domain_Free(B);
break;
case 6:
Polyhedron_Print(stdout, P_VALUE_FMT, A);
B = remove_equalities(A, options->MaxRays);
Polyhedron_Print(stdout, P_VALUE_FMT, B);
Polyhedron_Free(B);
break;
case 8: {
evalue *EP;
Matrix *M = Matrix_Read();
const char **param_name;
C = Constraints2Polyhedron(M, options->MaxRays);
Matrix_Free(M);
Polyhedron_Print(stdout, P_VALUE_FMT, A);
Polyhedron_Print(stdout, P_VALUE_FMT, C);
EP = barvinok_enumerate_with_options(A, C, options);
param_name = Read_ParamNames(stdin, C->Dimension);
print_evalue(stdout, EP, (const char**)param_name);
evalue_free(EP);
Polyhedron_Free(C);
}
case 9:
Polyhedron_Print(stdout, P_VALUE_FMT, A);
Polyhedron_Polarize(A);
C = B = NULL;
barvinok_decompose(A,&B,&C);
for (D = B; D; D = D->next)
Polyhedron_Polarize(D);
for (D = C; D; D = D->next)
Polyhedron_Polarize(D);
puts("Pos:");
Polyhedron_Print(stdout, P_VALUE_FMT, B);
puts("Neg:");
Polyhedron_Print(stdout, P_VALUE_FMT, C);
Domain_Free(B);
Domain_Free(C);
break;
case 10: {
evalue *EP;
Value cb, ck;
value_init(cb);
value_init(ck);
fgets(s, 128, stdin);
sscanf(s, "%d", &n);
for (j = 0; j < n; ++j) {
Polyhedron *P;
M = Matrix_Read();
P = Constraints2Polyhedron(M, options->MaxRays);
Matrix_Free(M);
A = DomainConcat(P, A);
}
fgets(s, 128, stdin);
/* workaround for apparent bug in older gmps */
*strchr(s, '\n') = '\0';
while ((*s=='#') || (value_read(ck, s) != 0)) {
fgets(s, 128, stdin);
/* workaround for apparent bug in older gmps */
*strchr(s, '\n') = '\0';
}
C = Universe_Polyhedron(0);
EP = barvinok_enumerate_union(A, C, options->MaxRays);
value_set_double(cb, compute_evalue(EP, &ck)+.25);
if (value_ne(cb, ck))
return -1;
Domain_Free(C);
value_clear(cb);
value_clear(ck);
evalue_free(EP);
break;
}
case 11: {
isl_space *dim;
isl_basic_set *bset;
isl_pw_qpolynomial *expected, *computed;
unsigned nparam;
expected = isl_pw_qpolynomial_read_from_file(ctx, stdin);
nparam = isl_pw_qpolynomial_dim(expected, isl_dim_param);
dim = isl_space_set_alloc(ctx, nparam, A->Dimension - nparam);
bset = isl_basic_set_new_from_polylib(A, dim);
computed = isl_basic_set_lattice_width(bset);
computed = isl_pw_qpolynomial_sub(computed, expected);
if (!isl_pw_qpolynomial_is_zero(computed))
return -1;
isl_pw_qpolynomial_free(computed);
break;
}
case 12: {
Vector *sample;
int has_sample;
fgets(s, 128, stdin);
sscanf(s, "%d", &has_sample);
sample = Polyhedron_Sample(A, options);
if (!sample && has_sample)
return -1;
if (sample && !has_sample)
return -1;
if (sample && !in_domain(A, sample->p))
return -1;
Vector_Free(sample);
}
}
Domain_Free(A);
}
for (i = 0; i < nbVec; ++i) {
int ok;
Vector *V = Vector_Read();
Matrix *M = Matrix_Alloc(V->Size, V->Size);
Vector_Copy(V->p, M->p[0], V->Size);
ok = unimodular_complete(M, 1);
assert(ok);
Matrix_Print(stdout, P_VALUE_FMT, M);
Matrix_Free(M);
Vector_Free(V);
}
for (i = 0; i < nbMat; ++i) {
Matrix *U, *V, *S;
Matrix *M = Matrix_Read();
Smith(M, &U, &V, &S);
Matrix_Print(stdout, P_VALUE_FMT, U);
Matrix_Print(stdout, P_VALUE_FMT, V);
Matrix_Print(stdout, P_VALUE_FMT, S);
Matrix_Free(M);
Matrix_Free(U);
Matrix_Free(V);
Matrix_Free(S);
}
isl_ctx_free(ctx);
return 0;
}
