enum lp_result isl_constraints_opt(Matrix *C, Value *obj, Value denom,
enum lp_dir dir, Value *opt)
{
int i;
isl_ctx *ctx = isl_ctx_alloc();
isl_space *dim;
isl_local_space *ls;
isl_mat *eq, *ineq;
isl_basic_set *bset;
isl_aff *aff;
isl_val *v;
enum isl_lp_result res;
int max = dir == lp_max;
eq = extract_equalities(ctx, C);
ineq = extract_inequalities(ctx, C);
dim = isl_space_set_alloc(ctx, 0, C->NbColumns - 2);
ls = isl_local_space_from_space(isl_space_copy(dim));
bset = isl_basic_set_from_constraint_matrices(dim, eq, ineq,
isl_dim_set, isl_dim_div, isl_dim_param, isl_dim_cst);
aff = isl_aff_zero_on_domain(ls);
for (i = 0; i < C->NbColumns - 2; ++i) {
v = isl_val_int_from_gmp(ctx, obj[i]);
aff = isl_aff_set_coefficient_val(aff, isl_dim_in, i, v);
}
v = isl_val_int_from_gmp(ctx, obj[C->NbColumns - 2]);
aff = isl_aff_set_constant_val(aff, v);
v = isl_val_int_from_gmp(ctx, denom);
aff = isl_aff_scale_down_val(aff, v);
if (max)
v = isl_val_floor(isl_basic_set_max_lp_val(bset, aff));
else
v = isl_val_ceil(isl_basic_set_min_lp_val(bset, aff));
if (!v)
res = isl_lp_error;
else if (isl_val_is_nan(v))
res = isl_lp_empty;
else if (!isl_val_is_rat(v))
res = isl_lp_unbounded;
else {
res = isl_lp_ok;
isl_val_get_num_gmp(v, *opt);
}
isl_val_free(v);
isl_aff_free(aff);
isl_basic_set_free(bset);
isl_ctx_free(ctx);
return isl_lp_result2lp_result(res);
}
static void
pdr_stride_in_loop (mpz_t stride, graphite_dim_t depth, poly_dr_p pdr)
{
poly_bb_p pbb = PDR_PBB (pdr);
isl_map *map;
isl_set *set;
isl_aff *aff;
isl_space *dc;
isl_constraint *lma, *c;
isl_val *islstride;
graphite_dim_t time_depth;
unsigned offset, nt;
unsigned i;
/* XXX isl rewrite following comments. */
/* Builds a partial difference equations and inserts them
into pointset powerset polyhedron P. Polyhedron is assumed
to have the format: T|I|T'|I'|G|S|S'|l1|l2.
TIME_DEPTH is the time dimension w.r.t. which we are
differentiating.
OFFSET represents the number of dimensions between
columns t_{time_depth} and t'_{time_depth}.
DIM_SCTR is the number of scattering dimensions. It is
essentially the dimensionality of the T vector.
The following equations are inserted into the polyhedron P:
| t_1 = t_1'
| ...
| t_{time_depth-1} = t'_{time_depth-1}
| t_{time_depth} = t'_{time_depth} + 1
| t_{time_depth+1} = t'_{time_depth + 1}
| ...
| t_{dim_sctr} = t'_{dim_sctr}. */
/* Add the equality: t_{time_depth} = t'_{time_depth} + 1.
This is the core part of this alogrithm, since this
constraint asks for the memory access stride (difference)
between two consecutive points in time dimensions. */
/* Add equalities:
| t1 = t1'
| ...
| t_{time_depth-1} = t'_{time_depth-1}
| t_{time_depth+1} = t'_{time_depth+1}
| ...
| t_{dim_sctr} = t'_{dim_sctr}
This means that all the time dimensions are equal except for
time_depth, where the constraint is t_{depth} = t'_{depth} + 1
step. More to this: we should be careful not to add equalities
to the 'coupled' dimensions, which happens when the one dimension
is stripmined dimension, and the other dimension corresponds
to the point loop inside stripmined dimension. */
/* pdr->accesses: [P1..nb_param,I1..nb_domain]->[a,S1..nb_subscript]
??? [P] not used for PDRs?
pdr->extent: [a,S1..nb_subscript]
pbb->domain: [P1..nb_param,I1..nb_domain]
pbb->transformed: [P1..nb_param,I1..nb_domain]->[T1..Tnb_sctr]
[T] includes local vars (currently unused)
First we create [P,I] -> [T,a,S]. */
map = isl_map_flat_range_product (isl_map_copy (pbb->transformed),
isl_map_copy (pdr->accesses));
/* Add a dimension for L: [P,I] -> [T,a,S,L].*/
map = isl_map_add_dims (map, isl_dim_out, 1);
/* Build a constraint for "lma[S] - L == 0", effectively calculating
L in terms of subscripts. */
lma = build_linearized_memory_access (map, pdr);
/* And add it to the map, so we now have:
[P,I] -> [T,a,S,L] : lma([S]) == L. */
map = isl_map_add_constraint (map, lma);
/* Then we create [P,I,P',I'] -> [T,a,S,L,T',a',S',L']. */
map = isl_map_flat_product (map, isl_map_copy (map));
/* Now add the equality T[time_depth] == T'[time_depth]+1. This will
force L' to be the linear address at T[time_depth] + 1. */
time_depth = psct_dynamic_dim (pbb, depth);
/* Length of [a,S] plus [L] ... */
offset = 1 + isl_map_dim (pdr->accesses, isl_dim_out);
/* ... plus [T]. */
offset += isl_map_dim (pbb->transformed, isl_dim_out);
c = isl_equality_alloc (isl_local_space_from_space (isl_map_get_space (map)));
c = isl_constraint_set_coefficient_si (c, isl_dim_out, time_depth, 1);
c = isl_constraint_set_coefficient_si (c, isl_dim_out,
offset + time_depth, -1);
c = isl_constraint_set_constant_si (c, 1);
map = isl_map_add_constraint (map, c);
/* Now we equate most of the T/T' elements (making PITaSL nearly
the same is (PITaSL)', except for one dimension, namely for 'depth'
(an index into [I]), after translating to index into [T]. Take care
to not produce an empty map, which indicates we wanted to equate
two dimensions that are already coupled via the above time_depth
dimension. Happens with strip mining where several scatter dimension
are interdependend. */
/* Length of [T]. */
nt = pbb_nb_scattering_transform (pbb) + pbb_nb_local_vars (pbb);
for (i = 0; i < nt; i++)
if (i != time_depth)
{
isl_map *temp = isl_map_equate (isl_map_copy (map),
isl_dim_out, i,
isl_dim_out, offset + i);
if (isl_map_is_empty (temp))
isl_map_free (temp);
else
{
isl_map_free (map);
map = temp;
}
}
/* Now maximize the expression L' - L. */
set = isl_map_range (map);
dc = isl_set_get_space (set);
aff = isl_aff_zero_on_domain (isl_local_space_from_space (dc));
aff = isl_aff_set_coefficient_si (aff, isl_dim_in, offset - 1, -1);
aff = isl_aff_set_coefficient_si (aff, isl_dim_in, offset + offset - 1, 1);
islstride = isl_set_max_val (set, aff);
isl_val_get_num_gmp (islstride, stride);
isl_val_free (islstride);
isl_aff_free (aff);
isl_set_free (set);
if (dump_file && (dump_flags & TDF_DETAILS))
{
gmp_fprintf (dump_file, "\nStride in BB_%d, DR_%d, depth %d: %Zd ",
pbb_index (pbb), PDR_ID (pdr), (int) depth, stride);
}
}
