1372 lines
35 KiB
C
1372 lines
35 KiB
C
/*
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* Copyright 2008-2009 Katholieke Universiteit Leuven
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* Copyright 2010 INRIA Saclay
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*
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* Use of this software is governed by the MIT license
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*
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* Written by Sven Verdoolaege, K.U.Leuven, Departement
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* Computerwetenschappen, Celestijnenlaan 200A, B-3001 Leuven, Belgium
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* and INRIA Saclay - Ile-de-France, Parc Club Orsay Universite,
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* ZAC des vignes, 4 rue Jacques Monod, 91893 Orsay, France
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*/
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#include <isl_map_private.h>
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#include <isl_constraint_private.h>
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#include <isl_space_private.h>
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#include <isl_seq.h>
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#include <isl_aff_private.h>
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#include <isl_local_space_private.h>
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#include <isl_val_private.h>
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#include <isl_vec_private.h>
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#include <bset_to_bmap.c>
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#include <bset_from_bmap.c>
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#undef EL_BASE
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#define EL_BASE constraint
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#include <isl_list_templ.c>
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isl_ctx *isl_constraint_get_ctx(__isl_keep isl_constraint *c)
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{
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return c ? isl_local_space_get_ctx(c->ls) : NULL;
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}
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static isl_size n(__isl_keep isl_constraint *c, enum isl_dim_type type)
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{
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return isl_local_space_dim(c->ls, type);
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}
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static unsigned offset(__isl_keep isl_constraint *c, enum isl_dim_type type)
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{
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return isl_local_space_offset(c->ls, type);
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}
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__isl_give isl_constraint *isl_constraint_alloc_vec(int eq,
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__isl_take isl_local_space *ls, __isl_take isl_vec *v)
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{
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isl_constraint *constraint;
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if (!ls || !v)
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goto error;
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constraint = isl_alloc_type(isl_vec_get_ctx(v), isl_constraint);
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if (!constraint)
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goto error;
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constraint->ref = 1;
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constraint->eq = eq;
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constraint->ls = ls;
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constraint->v = v;
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return constraint;
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error:
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isl_local_space_free(ls);
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isl_vec_free(v);
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return NULL;
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}
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__isl_give isl_constraint *isl_constraint_alloc(int eq,
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__isl_take isl_local_space *ls)
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{
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isl_size dim;
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isl_ctx *ctx;
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isl_vec *v;
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dim = isl_local_space_dim(ls, isl_dim_all);
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if (dim < 0)
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ls = isl_local_space_free(ls);
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if (!ls)
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return NULL;
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ctx = isl_local_space_get_ctx(ls);
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v = isl_vec_alloc(ctx, 1 + dim);
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v = isl_vec_clr(v);
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return isl_constraint_alloc_vec(eq, ls, v);
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}
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__isl_give isl_constraint *isl_basic_map_constraint(
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__isl_take isl_basic_map *bmap, isl_int **line)
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{
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int eq;
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isl_size dim;
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isl_ctx *ctx;
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isl_vec *v;
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isl_local_space *ls = NULL;
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isl_constraint *constraint;
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if (!bmap || !line)
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goto error;
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eq = line >= bmap->eq;
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ctx = isl_basic_map_get_ctx(bmap);
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ls = isl_basic_map_get_local_space(bmap);
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dim = isl_local_space_dim(ls, isl_dim_all);
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if (dim < 0)
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goto error;
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v = isl_vec_alloc(ctx, 1 + dim);
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if (!v)
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goto error;
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isl_seq_cpy(v->el, line[0], v->size);
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constraint = isl_constraint_alloc_vec(eq, ls, v);
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isl_basic_map_free(bmap);
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return constraint;
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error:
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isl_local_space_free(ls);
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isl_basic_map_free(bmap);
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return NULL;
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}
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__isl_give isl_constraint *isl_basic_set_constraint(
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__isl_take isl_basic_set *bset, isl_int **line)
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{
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return isl_basic_map_constraint(bset_to_bmap(bset), line);
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}
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__isl_give isl_constraint *isl_constraint_alloc_equality(
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__isl_take isl_local_space *ls)
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{
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return isl_constraint_alloc(1, ls);
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}
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__isl_give isl_constraint *isl_constraint_alloc_inequality(
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__isl_take isl_local_space *ls)
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{
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return isl_constraint_alloc(0, ls);
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}
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__isl_give isl_constraint *isl_constraint_dup(__isl_keep isl_constraint *c)
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{
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if (!c)
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return NULL;
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return isl_constraint_alloc_vec(c->eq, isl_local_space_copy(c->ls),
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isl_vec_copy(c->v));
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}
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__isl_give isl_constraint *isl_constraint_cow(__isl_take isl_constraint *c)
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{
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if (!c)
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return NULL;
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if (c->ref == 1)
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return c;
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c->ref--;
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return isl_constraint_dup(c);
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}
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__isl_give isl_constraint *isl_constraint_copy(
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__isl_keep isl_constraint *constraint)
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{
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if (!constraint)
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return NULL;
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constraint->ref++;
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return constraint;
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}
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__isl_null isl_constraint *isl_constraint_free(__isl_take isl_constraint *c)
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{
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if (!c)
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return NULL;
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if (--c->ref > 0)
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return NULL;
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isl_local_space_free(c->ls);
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isl_vec_free(c->v);
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free(c);
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return NULL;
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}
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/* Return the number of constraints in "bmap", i.e., the
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* number of times isl_basic_map_foreach_constraint will
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* call the callback.
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*/
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isl_size isl_basic_map_n_constraint(__isl_keep isl_basic_map *bmap)
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{
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if (!bmap)
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return isl_size_error;
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return bmap->n_eq + bmap->n_ineq;
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}
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/* Return the number of constraints in "bset", i.e., the
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* number of times isl_basic_set_foreach_constraint will
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* call the callback.
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*/
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isl_size isl_basic_set_n_constraint(__isl_keep isl_basic_set *bset)
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{
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return isl_basic_map_n_constraint(bset);
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}
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isl_stat isl_basic_map_foreach_constraint(__isl_keep isl_basic_map *bmap,
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isl_stat (*fn)(__isl_take isl_constraint *c, void *user), void *user)
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{
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int i;
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struct isl_constraint *c;
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if (!bmap)
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return isl_stat_error;
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isl_assert(bmap->ctx, ISL_F_ISSET(bmap, ISL_BASIC_MAP_FINAL),
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return isl_stat_error);
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for (i = 0; i < bmap->n_eq; ++i) {
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c = isl_basic_map_constraint(isl_basic_map_copy(bmap),
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&bmap->eq[i]);
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if (!c)
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return isl_stat_error;
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if (fn(c, user) < 0)
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return isl_stat_error;
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}
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for (i = 0; i < bmap->n_ineq; ++i) {
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c = isl_basic_map_constraint(isl_basic_map_copy(bmap),
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&bmap->ineq[i]);
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if (!c)
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return isl_stat_error;
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if (fn(c, user) < 0)
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return isl_stat_error;
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}
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return isl_stat_ok;
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}
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isl_stat isl_basic_set_foreach_constraint(__isl_keep isl_basic_set *bset,
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isl_stat (*fn)(__isl_take isl_constraint *c, void *user), void *user)
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{
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return isl_basic_map_foreach_constraint(bset_to_bmap(bset), fn, user);
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}
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/* Add the constraint to the list that "user" points to, if it is not
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* a div constraint.
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*/
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static isl_stat collect_constraint(__isl_take isl_constraint *constraint,
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void *user)
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{
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isl_constraint_list **list = user;
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isl_bool is_div;
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is_div = isl_constraint_is_div_constraint(constraint);
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if (is_div < 0 || is_div)
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isl_constraint_free(constraint);
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else
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*list = isl_constraint_list_add(*list, constraint);
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return is_div < 0 ? isl_stat_error : isl_stat_ok;
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}
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/* Return a list of constraints that, when combined, are equivalent
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* to "bmap". The input is required to have only known divs.
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*
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* There is no need to include the div constraints as they are
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* implied by the div expressions.
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*/
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__isl_give isl_constraint_list *isl_basic_map_get_constraint_list(
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__isl_keep isl_basic_map *bmap)
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{
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isl_size n;
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isl_bool known;
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isl_ctx *ctx;
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isl_constraint_list *list;
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known = isl_basic_map_divs_known(bmap);
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if (known < 0)
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return NULL;
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ctx = isl_basic_map_get_ctx(bmap);
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if (!known)
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isl_die(ctx, isl_error_invalid,
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"input involves unknown divs", return NULL);
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n = isl_basic_map_n_constraint(bmap);
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if (n < 0)
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return NULL;
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list = isl_constraint_list_alloc(ctx, n);
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if (isl_basic_map_foreach_constraint(bmap,
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&collect_constraint, &list) < 0)
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list = isl_constraint_list_free(list);
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return list;
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}
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/* Return a list of constraints that, when combined, are equivalent
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* to "bset". The input is required to have only known divs.
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*/
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__isl_give isl_constraint_list *isl_basic_set_get_constraint_list(
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__isl_keep isl_basic_set *bset)
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{
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return isl_basic_map_get_constraint_list(bset);
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}
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int isl_constraint_is_equal(__isl_keep isl_constraint *constraint1,
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__isl_keep isl_constraint *constraint2)
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{
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int equal;
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if (!constraint1 || !constraint2)
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return 0;
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if (constraint1->eq != constraint2->eq)
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return 0;
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equal = isl_local_space_is_equal(constraint1->ls, constraint2->ls);
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if (equal < 0 || !equal)
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return equal;
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return isl_vec_is_equal(constraint1->v, constraint2->v);
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}
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__isl_give isl_basic_map *isl_basic_map_add_constraint(
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__isl_take isl_basic_map *bmap, __isl_take isl_constraint *constraint)
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{
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isl_ctx *ctx;
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isl_space *space;
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int equal_space;
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if (!bmap || !constraint)
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goto error;
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ctx = isl_constraint_get_ctx(constraint);
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space = isl_constraint_get_space(constraint);
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equal_space = isl_space_is_equal(bmap->dim, space);
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isl_space_free(space);
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isl_assert(ctx, equal_space, goto error);
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bmap = isl_basic_map_intersect(bmap,
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isl_basic_map_from_constraint(constraint));
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return bmap;
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error:
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isl_basic_map_free(bmap);
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isl_constraint_free(constraint);
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return NULL;
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}
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__isl_give isl_basic_set *isl_basic_set_add_constraint(
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__isl_take isl_basic_set *bset, __isl_take isl_constraint *constraint)
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{
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return bset_from_bmap(isl_basic_map_add_constraint(bset_to_bmap(bset),
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constraint));
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}
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__isl_give isl_map *isl_map_add_constraint(__isl_take isl_map *map,
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__isl_take isl_constraint *constraint)
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{
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isl_basic_map *bmap;
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bmap = isl_basic_map_from_constraint(constraint);
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map = isl_map_intersect(map, isl_map_from_basic_map(bmap));
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return map;
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}
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__isl_give isl_set *isl_set_add_constraint(__isl_take isl_set *set,
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__isl_take isl_constraint *constraint)
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{
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return isl_map_add_constraint(set, constraint);
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}
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/* Return the space of "constraint".
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*/
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static __isl_keep isl_space *isl_constraint_peek_space(
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__isl_keep isl_constraint *constraint)
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{
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return constraint ? isl_local_space_peek_space(constraint->ls) : NULL;
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}
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__isl_give isl_space *isl_constraint_get_space(
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__isl_keep isl_constraint *constraint)
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{
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return constraint ? isl_local_space_get_space(constraint->ls) : NULL;
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}
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__isl_give isl_local_space *isl_constraint_get_local_space(
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__isl_keep isl_constraint *constraint)
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{
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return constraint ? isl_local_space_copy(constraint->ls) : NULL;
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}
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isl_size isl_constraint_dim(__isl_keep isl_constraint *constraint,
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enum isl_dim_type type)
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{
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if (!constraint)
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return isl_size_error;
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return n(constraint, type);
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}
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#undef TYPE
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#define TYPE isl_constraint
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static
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#include "check_type_range_templ.c"
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isl_bool isl_constraint_involves_dims(__isl_keep isl_constraint *constraint,
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enum isl_dim_type type, unsigned first, unsigned n)
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{
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int i;
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int *active = NULL;
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isl_bool involves = isl_bool_false;
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if (!constraint)
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return isl_bool_error;
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if (n == 0)
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return isl_bool_false;
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if (isl_constraint_check_range(constraint, type, first, n) < 0)
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return isl_bool_error;
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active = isl_local_space_get_active(constraint->ls,
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constraint->v->el + 1);
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if (!active)
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goto error;
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first += isl_local_space_offset(constraint->ls, type) - 1;
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for (i = 0; i < n; ++i)
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if (active[first + i]) {
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involves = isl_bool_true;
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break;
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}
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free(active);
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return involves;
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error:
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free(active);
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return isl_bool_error;
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}
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/* Does the given constraint represent a lower bound on the given
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* dimension?
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*/
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isl_bool isl_constraint_is_lower_bound(__isl_keep isl_constraint *constraint,
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enum isl_dim_type type, unsigned pos)
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{
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if (isl_constraint_check_range(constraint, type, pos, 1) < 0)
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return isl_bool_error;
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pos += isl_local_space_offset(constraint->ls, type);
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return isl_bool_ok(isl_int_is_pos(constraint->v->el[pos]));
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}
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/* Does the given constraint represent an upper bound on the given
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* dimension?
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*/
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isl_bool isl_constraint_is_upper_bound(__isl_keep isl_constraint *constraint,
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enum isl_dim_type type, unsigned pos)
|
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{
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if (isl_constraint_check_range(constraint, type, pos, 1) < 0)
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return isl_bool_error;
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|
|
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pos += isl_local_space_offset(constraint->ls, type);
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return isl_bool_ok(isl_int_is_neg(constraint->v->el[pos]));
|
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}
|
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|
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const char *isl_constraint_get_dim_name(__isl_keep isl_constraint *constraint,
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enum isl_dim_type type, unsigned pos)
|
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{
|
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return constraint ?
|
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isl_local_space_get_dim_name(constraint->ls, type, pos) : NULL;
|
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}
|
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|
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void isl_constraint_get_constant(__isl_keep isl_constraint *constraint,
|
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isl_int *v)
|
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{
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if (!constraint)
|
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return;
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isl_int_set(*v, constraint->v->el[0]);
|
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}
|
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|
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/* Return the constant term of "constraint".
|
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*/
|
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__isl_give isl_val *isl_constraint_get_constant_val(
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__isl_keep isl_constraint *constraint)
|
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{
|
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isl_ctx *ctx;
|
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|
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if (!constraint)
|
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return NULL;
|
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|
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ctx = isl_constraint_get_ctx(constraint);
|
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return isl_val_int_from_isl_int(ctx, constraint->v->el[0]);
|
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}
|
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|
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void isl_constraint_get_coefficient(__isl_keep isl_constraint *constraint,
|
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enum isl_dim_type type, int pos, isl_int *v)
|
|
{
|
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if (isl_constraint_check_range(constraint, type, pos, 1) < 0)
|
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return;
|
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|
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pos += isl_local_space_offset(constraint->ls, type);
|
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isl_int_set(*v, constraint->v->el[pos]);
|
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}
|
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|
|
/* Return the coefficient of the variable of type "type" at position "pos"
|
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* of "constraint".
|
|
*/
|
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__isl_give isl_val *isl_constraint_get_coefficient_val(
|
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__isl_keep isl_constraint *constraint, enum isl_dim_type type, int pos)
|
|
{
|
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isl_ctx *ctx;
|
|
|
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if (isl_constraint_check_range(constraint, type, pos, 1) < 0)
|
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return NULL;
|
|
|
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ctx = isl_constraint_get_ctx(constraint);
|
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pos += isl_local_space_offset(constraint->ls, type);
|
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return isl_val_int_from_isl_int(ctx, constraint->v->el[pos]);
|
|
}
|
|
|
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__isl_give isl_aff *isl_constraint_get_div(__isl_keep isl_constraint *constraint,
|
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int pos)
|
|
{
|
|
if (!constraint)
|
|
return NULL;
|
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|
|
return isl_local_space_get_div(constraint->ls, pos);
|
|
}
|
|
|
|
__isl_give isl_constraint *isl_constraint_set_constant(
|
|
__isl_take isl_constraint *constraint, isl_int v)
|
|
{
|
|
constraint = isl_constraint_cow(constraint);
|
|
if (!constraint)
|
|
return NULL;
|
|
|
|
constraint->v = isl_vec_cow(constraint->v);
|
|
if (!constraint->v)
|
|
return isl_constraint_free(constraint);
|
|
|
|
isl_int_set(constraint->v->el[0], v);
|
|
return constraint;
|
|
}
|
|
|
|
/* Replace the constant term of "constraint" by "v".
|
|
*/
|
|
__isl_give isl_constraint *isl_constraint_set_constant_val(
|
|
__isl_take isl_constraint *constraint, __isl_take isl_val *v)
|
|
{
|
|
constraint = isl_constraint_cow(constraint);
|
|
if (!constraint || !v)
|
|
goto error;
|
|
if (!isl_val_is_int(v))
|
|
isl_die(isl_constraint_get_ctx(constraint), isl_error_invalid,
|
|
"expecting integer value", goto error);
|
|
constraint->v = isl_vec_set_element_val(constraint->v, 0, v);
|
|
if (!constraint->v)
|
|
constraint = isl_constraint_free(constraint);
|
|
return constraint;
|
|
error:
|
|
isl_val_free(v);
|
|
return isl_constraint_free(constraint);
|
|
}
|
|
|
|
__isl_give isl_constraint *isl_constraint_set_constant_si(
|
|
__isl_take isl_constraint *constraint, int v)
|
|
{
|
|
constraint = isl_constraint_cow(constraint);
|
|
if (!constraint)
|
|
return NULL;
|
|
|
|
constraint->v = isl_vec_cow(constraint->v);
|
|
if (!constraint->v)
|
|
return isl_constraint_free(constraint);
|
|
|
|
isl_int_set_si(constraint->v->el[0], v);
|
|
return constraint;
|
|
}
|
|
|
|
/* Replace the coefficient of the variable of type "type" at position "pos"
|
|
* of "constraint" by "v".
|
|
*/
|
|
__isl_give isl_constraint *isl_constraint_set_coefficient_val(
|
|
__isl_take isl_constraint *constraint,
|
|
enum isl_dim_type type, int pos, __isl_take isl_val *v)
|
|
{
|
|
constraint = isl_constraint_cow(constraint);
|
|
if (!constraint || !v)
|
|
goto error;
|
|
if (!isl_val_is_int(v))
|
|
isl_die(isl_constraint_get_ctx(constraint), isl_error_invalid,
|
|
"expecting integer value", goto error);
|
|
if (isl_constraint_check_range(constraint, type, pos, 1) < 0)
|
|
goto error;
|
|
|
|
pos += isl_local_space_offset(constraint->ls, type);
|
|
constraint->v = isl_vec_set_element_val(constraint->v, pos, v);
|
|
if (!constraint->v)
|
|
constraint = isl_constraint_free(constraint);
|
|
return constraint;
|
|
error:
|
|
isl_val_free(v);
|
|
return isl_constraint_free(constraint);
|
|
}
|
|
|
|
__isl_give isl_constraint *isl_constraint_set_coefficient_si(
|
|
__isl_take isl_constraint *constraint,
|
|
enum isl_dim_type type, int pos, int v)
|
|
{
|
|
constraint = isl_constraint_cow(constraint);
|
|
if (isl_constraint_check_range(constraint, type, pos, 1) < 0)
|
|
return isl_constraint_free(constraint);
|
|
|
|
constraint->v = isl_vec_cow(constraint->v);
|
|
if (!constraint->v)
|
|
return isl_constraint_free(constraint);
|
|
|
|
pos += isl_local_space_offset(constraint->ls, type);
|
|
isl_int_set_si(constraint->v->el[pos], v);
|
|
|
|
return constraint;
|
|
}
|
|
|
|
__isl_give isl_constraint *isl_constraint_negate(
|
|
__isl_take isl_constraint *constraint)
|
|
{
|
|
isl_ctx *ctx;
|
|
|
|
constraint = isl_constraint_cow(constraint);
|
|
if (!constraint)
|
|
return NULL;
|
|
|
|
ctx = isl_constraint_get_ctx(constraint);
|
|
if (isl_constraint_is_equality(constraint))
|
|
isl_die(ctx, isl_error_invalid, "cannot negate equality",
|
|
return isl_constraint_free(constraint));
|
|
constraint->v = isl_vec_neg(constraint->v);
|
|
constraint->v = isl_vec_cow(constraint->v);
|
|
if (!constraint->v)
|
|
return isl_constraint_free(constraint);
|
|
isl_int_sub_ui(constraint->v->el[0], constraint->v->el[0], 1);
|
|
return constraint;
|
|
}
|
|
|
|
isl_bool isl_constraint_is_equality(struct isl_constraint *constraint)
|
|
{
|
|
if (!constraint)
|
|
return isl_bool_error;
|
|
return isl_bool_ok(constraint->eq);
|
|
}
|
|
|
|
isl_bool isl_constraint_is_div_constraint(__isl_keep isl_constraint *constraint)
|
|
{
|
|
int i;
|
|
isl_size n_div;
|
|
|
|
if (!constraint)
|
|
return isl_bool_error;
|
|
if (isl_constraint_is_equality(constraint))
|
|
return isl_bool_false;
|
|
n_div = isl_constraint_dim(constraint, isl_dim_div);
|
|
if (n_div < 0)
|
|
return isl_bool_error;
|
|
for (i = 0; i < n_div; ++i) {
|
|
isl_bool is_div;
|
|
is_div = isl_local_space_is_div_constraint(constraint->ls,
|
|
constraint->v->el, i);
|
|
if (is_div < 0 || is_div)
|
|
return is_div;
|
|
}
|
|
|
|
return isl_bool_false;
|
|
}
|
|
|
|
/* Is "constraint" an equality that corresponds to integer division "div"?
|
|
*
|
|
* That is, given an integer division of the form
|
|
*
|
|
* a = floor((f + c)/m)
|
|
*
|
|
* is the equality of the form
|
|
*
|
|
* -f + m d + c' = 0
|
|
* ?
|
|
* Note that the constant term is not checked explicitly, but given
|
|
* that this is a valid equality constraint, the constant c' necessarily
|
|
* has a value close to -c.
|
|
*/
|
|
isl_bool isl_constraint_is_div_equality(__isl_keep isl_constraint *constraint,
|
|
unsigned div)
|
|
{
|
|
isl_bool equality;
|
|
|
|
equality = isl_constraint_is_equality(constraint);
|
|
if (equality < 0 || !equality)
|
|
return equality;
|
|
return isl_local_space_is_div_equality(constraint->ls,
|
|
constraint->v->el, div);
|
|
}
|
|
|
|
/* We manually set ISL_BASIC_SET_FINAL instead of calling
|
|
* isl_basic_map_finalize because we want to keep the position
|
|
* of the divs and we therefore do not want to throw away redundant divs.
|
|
* This is arguably a bit fragile.
|
|
*/
|
|
__isl_give isl_basic_map *isl_basic_map_from_constraint(
|
|
__isl_take isl_constraint *constraint)
|
|
{
|
|
int k;
|
|
isl_local_space *ls;
|
|
struct isl_basic_map *bmap;
|
|
isl_int *c;
|
|
isl_size total;
|
|
|
|
if (!constraint)
|
|
return NULL;
|
|
|
|
ls = isl_local_space_copy(constraint->ls);
|
|
bmap = isl_basic_map_from_local_space(ls);
|
|
bmap = isl_basic_map_extend_constraints(bmap, 1, 1);
|
|
if (isl_constraint_is_equality(constraint)) {
|
|
k = isl_basic_map_alloc_equality(bmap);
|
|
if (k < 0)
|
|
goto error;
|
|
c = bmap->eq[k];
|
|
}
|
|
else {
|
|
k = isl_basic_map_alloc_inequality(bmap);
|
|
if (k < 0)
|
|
goto error;
|
|
c = bmap->ineq[k];
|
|
}
|
|
total = isl_basic_map_dim(bmap, isl_dim_all);
|
|
if (total < 0)
|
|
goto error;
|
|
isl_seq_cpy(c, constraint->v->el, 1 + total);
|
|
isl_constraint_free(constraint);
|
|
if (bmap)
|
|
ISL_F_SET(bmap, ISL_BASIC_SET_FINAL);
|
|
return bmap;
|
|
error:
|
|
isl_constraint_free(constraint);
|
|
isl_basic_map_free(bmap);
|
|
return NULL;
|
|
}
|
|
|
|
__isl_give isl_basic_set *isl_basic_set_from_constraint(
|
|
__isl_take isl_constraint *constraint)
|
|
{
|
|
isl_space *space;
|
|
|
|
space = isl_constraint_peek_space(constraint);
|
|
if (isl_space_check_is_set(space) < 0)
|
|
goto error;
|
|
return bset_from_bmap(isl_basic_map_from_constraint(constraint));
|
|
error:
|
|
isl_constraint_free(constraint);
|
|
return NULL;
|
|
}
|
|
|
|
/* Is the variable of "type" at position "pos" of "bmap" defined
|
|
* in terms of earlier dimensions through an equality?
|
|
*
|
|
* If so, and if c is not NULL, then return a copy of this equality in *c.
|
|
*/
|
|
isl_bool isl_basic_map_has_defining_equality(
|
|
__isl_keep isl_basic_map *bmap, enum isl_dim_type type, int pos,
|
|
__isl_give isl_constraint **c)
|
|
{
|
|
int i;
|
|
unsigned offset;
|
|
isl_size total;
|
|
|
|
if (isl_basic_map_check_range(bmap, type, pos, 1) < 0)
|
|
return isl_bool_error;
|
|
offset = isl_basic_map_offset(bmap, type);
|
|
total = isl_basic_map_dim(bmap, isl_dim_all);
|
|
if (total < 0)
|
|
return isl_bool_error;
|
|
for (i = 0; i < bmap->n_eq; ++i) {
|
|
if (isl_int_is_zero(bmap->eq[i][offset + pos]) ||
|
|
isl_seq_first_non_zero(bmap->eq[i]+offset+pos+1,
|
|
1+total-offset-pos-1) != -1)
|
|
continue;
|
|
if (c)
|
|
*c = isl_basic_map_constraint(isl_basic_map_copy(bmap),
|
|
&bmap->eq[i]);
|
|
return isl_bool_true;
|
|
}
|
|
return isl_bool_false;
|
|
}
|
|
|
|
/* Is the variable of "type" at position "pos" of "bset" defined
|
|
* in terms of earlier dimensions through an equality?
|
|
*
|
|
* If so, and if c is not NULL, then return a copy of this equality in *c.
|
|
*/
|
|
isl_bool isl_basic_set_has_defining_equality(
|
|
__isl_keep isl_basic_set *bset, enum isl_dim_type type, int pos,
|
|
__isl_give isl_constraint **c)
|
|
{
|
|
return isl_basic_map_has_defining_equality(bset_to_bmap(bset),
|
|
type, pos, c);
|
|
}
|
|
|
|
isl_bool isl_basic_set_has_defining_inequalities(
|
|
struct isl_basic_set *bset, enum isl_dim_type type, int pos,
|
|
struct isl_constraint **lower,
|
|
struct isl_constraint **upper)
|
|
{
|
|
int i, j;
|
|
unsigned offset;
|
|
isl_size total;
|
|
isl_int m;
|
|
isl_int **lower_line, **upper_line;
|
|
|
|
if (isl_basic_set_check_range(bset, type, pos, 1) < 0)
|
|
return isl_bool_error;
|
|
offset = isl_basic_set_offset(bset, type);
|
|
total = isl_basic_set_dim(bset, isl_dim_all);
|
|
if (total < 0)
|
|
return isl_bool_error;
|
|
isl_int_init(m);
|
|
for (i = 0; i < bset->n_ineq; ++i) {
|
|
if (isl_int_is_zero(bset->ineq[i][offset + pos]))
|
|
continue;
|
|
if (isl_int_is_one(bset->ineq[i][offset + pos]))
|
|
continue;
|
|
if (isl_int_is_negone(bset->ineq[i][offset + pos]))
|
|
continue;
|
|
if (isl_seq_first_non_zero(bset->ineq[i]+offset+pos+1,
|
|
1+total-offset-pos-1) != -1)
|
|
continue;
|
|
for (j = i + 1; j < bset->n_ineq; ++j) {
|
|
if (!isl_seq_is_neg(bset->ineq[i]+1, bset->ineq[j]+1,
|
|
total))
|
|
continue;
|
|
isl_int_add(m, bset->ineq[i][0], bset->ineq[j][0]);
|
|
if (isl_int_abs_ge(m, bset->ineq[i][offset+pos]))
|
|
continue;
|
|
|
|
if (isl_int_is_pos(bset->ineq[i][offset+pos])) {
|
|
lower_line = &bset->ineq[i];
|
|
upper_line = &bset->ineq[j];
|
|
} else {
|
|
lower_line = &bset->ineq[j];
|
|
upper_line = &bset->ineq[i];
|
|
}
|
|
*lower = isl_basic_set_constraint(
|
|
isl_basic_set_copy(bset), lower_line);
|
|
*upper = isl_basic_set_constraint(
|
|
isl_basic_set_copy(bset), upper_line);
|
|
isl_int_clear(m);
|
|
return isl_bool_true;
|
|
}
|
|
}
|
|
*lower = NULL;
|
|
*upper = NULL;
|
|
isl_int_clear(m);
|
|
return isl_bool_false;
|
|
}
|
|
|
|
/* Given two constraints "a" and "b" on the variable at position "abs_pos"
|
|
* (in "a" and "b"), add a constraint to "bset" that ensures that the
|
|
* bound implied by "a" is (strictly) larger than the bound implied by "b".
|
|
*
|
|
* If both constraints imply lower bounds, then this means that "a" is
|
|
* active in the result.
|
|
* If both constraints imply upper bounds, then this means that "b" is
|
|
* active in the result.
|
|
*/
|
|
static __isl_give isl_basic_set *add_larger_bound_constraint(
|
|
__isl_take isl_basic_set *bset, isl_int *a, isl_int *b,
|
|
unsigned abs_pos, int strict)
|
|
{
|
|
int k;
|
|
isl_int t;
|
|
isl_size total;
|
|
|
|
total = isl_basic_set_dim(bset, isl_dim_all);
|
|
if (total < 0)
|
|
return isl_basic_set_free(bset);
|
|
k = isl_basic_set_alloc_inequality(bset);
|
|
if (k < 0)
|
|
goto error;
|
|
|
|
isl_int_init(t);
|
|
isl_int_neg(t, b[1 + abs_pos]);
|
|
|
|
isl_seq_combine(bset->ineq[k], t, a, a[1 + abs_pos], b, 1 + abs_pos);
|
|
isl_seq_combine(bset->ineq[k] + 1 + abs_pos,
|
|
t, a + 1 + abs_pos + 1, a[1 + abs_pos], b + 1 + abs_pos + 1,
|
|
total - abs_pos);
|
|
|
|
if (strict)
|
|
isl_int_sub_ui(bset->ineq[k][0], bset->ineq[k][0], 1);
|
|
|
|
isl_int_clear(t);
|
|
|
|
return bset;
|
|
error:
|
|
isl_basic_set_free(bset);
|
|
return NULL;
|
|
}
|
|
|
|
/* Add constraints to "context" that ensure that "u" is the smallest
|
|
* (and therefore active) upper bound on "abs_pos" in "bset" and return
|
|
* the resulting basic set.
|
|
*/
|
|
static __isl_give isl_basic_set *set_smallest_upper_bound(
|
|
__isl_keep isl_basic_set *context,
|
|
__isl_keep isl_basic_set *bset, unsigned abs_pos, int n_upper, int u)
|
|
{
|
|
int j;
|
|
|
|
context = isl_basic_set_copy(context);
|
|
context = isl_basic_set_cow(context);
|
|
|
|
context = isl_basic_set_extend_constraints(context, 0, n_upper - 1);
|
|
|
|
for (j = 0; j < bset->n_ineq; ++j) {
|
|
if (j == u)
|
|
continue;
|
|
if (!isl_int_is_neg(bset->ineq[j][1 + abs_pos]))
|
|
continue;
|
|
context = add_larger_bound_constraint(context,
|
|
bset->ineq[j], bset->ineq[u], abs_pos, j > u);
|
|
}
|
|
|
|
context = isl_basic_set_simplify(context);
|
|
context = isl_basic_set_finalize(context);
|
|
|
|
return context;
|
|
}
|
|
|
|
/* Add constraints to "context" that ensure that "u" is the largest
|
|
* (and therefore active) upper bound on "abs_pos" in "bset" and return
|
|
* the resulting basic set.
|
|
*/
|
|
static __isl_give isl_basic_set *set_largest_lower_bound(
|
|
__isl_keep isl_basic_set *context,
|
|
__isl_keep isl_basic_set *bset, unsigned abs_pos, int n_lower, int l)
|
|
{
|
|
int j;
|
|
|
|
context = isl_basic_set_copy(context);
|
|
context = isl_basic_set_cow(context);
|
|
|
|
context = isl_basic_set_extend_constraints(context, 0, n_lower - 1);
|
|
|
|
for (j = 0; j < bset->n_ineq; ++j) {
|
|
if (j == l)
|
|
continue;
|
|
if (!isl_int_is_pos(bset->ineq[j][1 + abs_pos]))
|
|
continue;
|
|
context = add_larger_bound_constraint(context,
|
|
bset->ineq[l], bset->ineq[j], abs_pos, j > l);
|
|
}
|
|
|
|
context = isl_basic_set_simplify(context);
|
|
context = isl_basic_set_finalize(context);
|
|
|
|
return context;
|
|
}
|
|
|
|
static isl_stat foreach_upper_bound(__isl_keep isl_basic_set *bset,
|
|
enum isl_dim_type type, unsigned abs_pos,
|
|
__isl_take isl_basic_set *context, int n_upper,
|
|
isl_stat (*fn)(__isl_take isl_constraint *lower,
|
|
__isl_take isl_constraint *upper,
|
|
__isl_take isl_basic_set *bset, void *user), void *user)
|
|
{
|
|
isl_basic_set *context_i;
|
|
isl_constraint *upper = NULL;
|
|
int i;
|
|
|
|
for (i = 0; i < bset->n_ineq; ++i) {
|
|
if (isl_int_is_zero(bset->ineq[i][1 + abs_pos]))
|
|
continue;
|
|
|
|
context_i = set_smallest_upper_bound(context, bset,
|
|
abs_pos, n_upper, i);
|
|
if (isl_basic_set_is_empty(context_i)) {
|
|
isl_basic_set_free(context_i);
|
|
continue;
|
|
}
|
|
upper = isl_basic_set_constraint(isl_basic_set_copy(bset),
|
|
&bset->ineq[i]);
|
|
if (!upper || !context_i)
|
|
goto error;
|
|
if (fn(NULL, upper, context_i, user) < 0)
|
|
break;
|
|
}
|
|
|
|
isl_basic_set_free(context);
|
|
|
|
if (i < bset->n_ineq)
|
|
return isl_stat_error;
|
|
|
|
return isl_stat_ok;
|
|
error:
|
|
isl_constraint_free(upper);
|
|
isl_basic_set_free(context_i);
|
|
isl_basic_set_free(context);
|
|
return isl_stat_error;
|
|
}
|
|
|
|
static isl_stat foreach_lower_bound(__isl_keep isl_basic_set *bset,
|
|
enum isl_dim_type type, unsigned abs_pos,
|
|
__isl_take isl_basic_set *context, int n_lower,
|
|
isl_stat (*fn)(__isl_take isl_constraint *lower,
|
|
__isl_take isl_constraint *upper,
|
|
__isl_take isl_basic_set *bset, void *user), void *user)
|
|
{
|
|
isl_basic_set *context_i;
|
|
isl_constraint *lower = NULL;
|
|
int i;
|
|
|
|
for (i = 0; i < bset->n_ineq; ++i) {
|
|
if (isl_int_is_zero(bset->ineq[i][1 + abs_pos]))
|
|
continue;
|
|
|
|
context_i = set_largest_lower_bound(context, bset,
|
|
abs_pos, n_lower, i);
|
|
if (isl_basic_set_is_empty(context_i)) {
|
|
isl_basic_set_free(context_i);
|
|
continue;
|
|
}
|
|
lower = isl_basic_set_constraint(isl_basic_set_copy(bset),
|
|
&bset->ineq[i]);
|
|
if (!lower || !context_i)
|
|
goto error;
|
|
if (fn(lower, NULL, context_i, user) < 0)
|
|
break;
|
|
}
|
|
|
|
isl_basic_set_free(context);
|
|
|
|
if (i < bset->n_ineq)
|
|
return isl_stat_error;
|
|
|
|
return isl_stat_ok;
|
|
error:
|
|
isl_constraint_free(lower);
|
|
isl_basic_set_free(context_i);
|
|
isl_basic_set_free(context);
|
|
return isl_stat_error;
|
|
}
|
|
|
|
static isl_stat foreach_bound_pair(__isl_keep isl_basic_set *bset,
|
|
enum isl_dim_type type, unsigned abs_pos,
|
|
__isl_take isl_basic_set *context, int n_lower, int n_upper,
|
|
isl_stat (*fn)(__isl_take isl_constraint *lower,
|
|
__isl_take isl_constraint *upper,
|
|
__isl_take isl_basic_set *bset, void *user), void *user)
|
|
{
|
|
isl_basic_set *context_i, *context_j;
|
|
isl_constraint *lower = NULL;
|
|
isl_constraint *upper = NULL;
|
|
int i, j;
|
|
|
|
for (i = 0; i < bset->n_ineq; ++i) {
|
|
if (!isl_int_is_pos(bset->ineq[i][1 + abs_pos]))
|
|
continue;
|
|
|
|
context_i = set_largest_lower_bound(context, bset,
|
|
abs_pos, n_lower, i);
|
|
if (isl_basic_set_is_empty(context_i)) {
|
|
isl_basic_set_free(context_i);
|
|
continue;
|
|
}
|
|
|
|
for (j = 0; j < bset->n_ineq; ++j) {
|
|
if (!isl_int_is_neg(bset->ineq[j][1 + abs_pos]))
|
|
continue;
|
|
|
|
context_j = set_smallest_upper_bound(context_i, bset,
|
|
abs_pos, n_upper, j);
|
|
context_j = isl_basic_set_extend_constraints(context_j,
|
|
0, 1);
|
|
context_j = add_larger_bound_constraint(context_j,
|
|
bset->ineq[i], bset->ineq[j], abs_pos, 0);
|
|
context_j = isl_basic_set_simplify(context_j);
|
|
context_j = isl_basic_set_finalize(context_j);
|
|
if (isl_basic_set_is_empty(context_j)) {
|
|
isl_basic_set_free(context_j);
|
|
continue;
|
|
}
|
|
lower = isl_basic_set_constraint(isl_basic_set_copy(bset),
|
|
&bset->ineq[i]);
|
|
upper = isl_basic_set_constraint(isl_basic_set_copy(bset),
|
|
&bset->ineq[j]);
|
|
if (!lower || !upper || !context_j)
|
|
goto error;
|
|
if (fn(lower, upper, context_j, user) < 0)
|
|
break;
|
|
}
|
|
|
|
isl_basic_set_free(context_i);
|
|
|
|
if (j < bset->n_ineq)
|
|
break;
|
|
}
|
|
|
|
isl_basic_set_free(context);
|
|
|
|
if (i < bset->n_ineq)
|
|
return isl_stat_error;
|
|
|
|
return isl_stat_ok;
|
|
error:
|
|
isl_constraint_free(lower);
|
|
isl_constraint_free(upper);
|
|
isl_basic_set_free(context_i);
|
|
isl_basic_set_free(context_j);
|
|
isl_basic_set_free(context);
|
|
return isl_stat_error;
|
|
}
|
|
|
|
/* For each pair of lower and upper bounds on the variable "pos"
|
|
* of type "type", call "fn" with these lower and upper bounds and the
|
|
* set of constraints on the remaining variables where these bounds
|
|
* are active, i.e., (stricly) larger/smaller than the other lower/upper bounds.
|
|
*
|
|
* If the designated variable is equal to an affine combination of the
|
|
* other variables then fn is called with both lower and upper
|
|
* set to the corresponding equality.
|
|
*
|
|
* If there is no lower (or upper) bound, then NULL is passed
|
|
* as the corresponding bound.
|
|
*
|
|
* We first check if the variable is involved in any equality.
|
|
* If not, we count the number of lower and upper bounds and
|
|
* act accordingly.
|
|
*/
|
|
isl_stat isl_basic_set_foreach_bound_pair(__isl_keep isl_basic_set *bset,
|
|
enum isl_dim_type type, unsigned pos,
|
|
isl_stat (*fn)(__isl_take isl_constraint *lower,
|
|
__isl_take isl_constraint *upper,
|
|
__isl_take isl_basic_set *bset, void *user), void *user)
|
|
{
|
|
int i;
|
|
isl_constraint *lower = NULL;
|
|
isl_constraint *upper = NULL;
|
|
isl_basic_set *context = NULL;
|
|
unsigned abs_pos;
|
|
int n_lower, n_upper;
|
|
isl_size off;
|
|
|
|
if (isl_basic_set_check_range(bset, type, pos, 1) < 0)
|
|
return isl_stat_error;
|
|
isl_assert(bset->ctx, type == isl_dim_param || type == isl_dim_set,
|
|
return isl_stat_error);
|
|
|
|
off = isl_basic_set_var_offset(bset, type);
|
|
if (off < 0)
|
|
return isl_stat_error;
|
|
abs_pos = off + pos;
|
|
|
|
for (i = 0; i < bset->n_eq; ++i) {
|
|
if (isl_int_is_zero(bset->eq[i][1 + abs_pos]))
|
|
continue;
|
|
|
|
lower = isl_basic_set_constraint(isl_basic_set_copy(bset),
|
|
&bset->eq[i]);
|
|
upper = isl_constraint_copy(lower);
|
|
context = isl_basic_set_remove_dims(isl_basic_set_copy(bset),
|
|
type, pos, 1);
|
|
if (!lower || !upper || !context)
|
|
goto error;
|
|
return fn(lower, upper, context, user);
|
|
}
|
|
|
|
n_lower = 0;
|
|
n_upper = 0;
|
|
for (i = 0; i < bset->n_ineq; ++i) {
|
|
if (isl_int_is_pos(bset->ineq[i][1 + abs_pos]))
|
|
n_lower++;
|
|
else if (isl_int_is_neg(bset->ineq[i][1 + abs_pos]))
|
|
n_upper++;
|
|
}
|
|
|
|
context = isl_basic_set_copy(bset);
|
|
context = isl_basic_set_cow(context);
|
|
if (!context)
|
|
goto error;
|
|
for (i = context->n_ineq - 1; i >= 0; --i)
|
|
if (!isl_int_is_zero(context->ineq[i][1 + abs_pos]))
|
|
isl_basic_set_drop_inequality(context, i);
|
|
|
|
context = isl_basic_set_drop(context, type, pos, 1);
|
|
if (!n_lower && !n_upper)
|
|
return fn(NULL, NULL, context, user);
|
|
if (!n_lower)
|
|
return foreach_upper_bound(bset, type, abs_pos, context, n_upper,
|
|
fn, user);
|
|
if (!n_upper)
|
|
return foreach_lower_bound(bset, type, abs_pos, context, n_lower,
|
|
fn, user);
|
|
return foreach_bound_pair(bset, type, abs_pos, context, n_lower, n_upper,
|
|
fn, user);
|
|
error:
|
|
isl_constraint_free(lower);
|
|
isl_constraint_free(upper);
|
|
isl_basic_set_free(context);
|
|
return isl_stat_error;
|
|
}
|
|
|
|
__isl_give isl_aff *isl_constraint_get_bound(
|
|
__isl_keep isl_constraint *constraint, enum isl_dim_type type, int pos)
|
|
{
|
|
isl_space *space;
|
|
isl_aff *aff;
|
|
isl_ctx *ctx;
|
|
|
|
if (isl_constraint_check_range(constraint, type, pos, 1) < 0)
|
|
return NULL;
|
|
space = isl_constraint_peek_space(constraint);
|
|
if (isl_space_check_is_set(space) < 0)
|
|
return NULL;
|
|
|
|
ctx = isl_constraint_get_ctx(constraint);
|
|
pos += offset(constraint, type);
|
|
if (isl_int_is_zero(constraint->v->el[pos]))
|
|
isl_die(ctx, isl_error_invalid,
|
|
"constraint does not define a bound on given dimension",
|
|
return NULL);
|
|
|
|
aff = isl_aff_alloc(isl_local_space_copy(constraint->ls));
|
|
if (!aff)
|
|
return NULL;
|
|
|
|
if (isl_int_is_neg(constraint->v->el[pos]))
|
|
isl_seq_cpy(aff->v->el + 1, constraint->v->el, aff->v->size - 1);
|
|
else
|
|
isl_seq_neg(aff->v->el + 1, constraint->v->el, aff->v->size - 1);
|
|
isl_int_set_si(aff->v->el[1 + pos], 0);
|
|
isl_int_abs(aff->v->el[0], constraint->v->el[pos]);
|
|
aff = isl_aff_normalize(aff);
|
|
|
|
return aff;
|
|
}
|
|
|
|
/* For an inequality constraint
|
|
*
|
|
* f >= 0
|
|
*
|
|
* or an equality constraint
|
|
*
|
|
* f = 0
|
|
*
|
|
* return the affine expression f.
|
|
*/
|
|
__isl_give isl_aff *isl_constraint_get_aff(
|
|
__isl_keep isl_constraint *constraint)
|
|
{
|
|
isl_aff *aff;
|
|
|
|
if (!constraint)
|
|
return NULL;
|
|
|
|
aff = isl_aff_alloc(isl_local_space_copy(constraint->ls));
|
|
if (!aff)
|
|
return NULL;
|
|
|
|
isl_seq_cpy(aff->v->el + 1, constraint->v->el, aff->v->size - 1);
|
|
isl_int_set_si(aff->v->el[0], 1);
|
|
|
|
return aff;
|
|
}
|
|
|
|
/* Construct an inequality (eq = 0) or equality (eq = 1) constraint from "aff".
|
|
* In particular, construct aff >= 0 or aff = 0.
|
|
*
|
|
* The denominator of "aff" can be ignored.
|
|
*/
|
|
static __isl_give isl_constraint *isl_constraint_alloc_aff(int eq,
|
|
__isl_take isl_aff *aff)
|
|
{
|
|
isl_local_space *ls;
|
|
isl_vec *v;
|
|
|
|
if (!aff)
|
|
return NULL;
|
|
ls = isl_aff_get_domain_local_space(aff);
|
|
v = isl_vec_drop_els(isl_vec_copy(aff->v), 0, 1);
|
|
isl_aff_free(aff);
|
|
|
|
return isl_constraint_alloc_vec(eq, ls, v);
|
|
}
|
|
|
|
/* Construct an equality constraint equating the given affine expression
|
|
* to zero.
|
|
*/
|
|
__isl_give isl_constraint *isl_equality_from_aff(__isl_take isl_aff *aff)
|
|
{
|
|
return isl_constraint_alloc_aff(1, aff);
|
|
}
|
|
|
|
/* Construct an inequality constraint enforcing the given affine expression
|
|
* to be non-negative.
|
|
*/
|
|
__isl_give isl_constraint *isl_inequality_from_aff(__isl_take isl_aff *aff)
|
|
{
|
|
return isl_constraint_alloc_aff(0, aff);
|
|
}
|
|
|
|
/* Compare two isl_constraints.
|
|
*
|
|
* Return -1 if "c1" is "smaller" than "c2", 1 if "c1" is "greater"
|
|
* than "c2" and 0 if they are equal.
|
|
*
|
|
* The order is fairly arbitrary. We do consider constraints that only involve
|
|
* earlier dimensions as "smaller".
|
|
*/
|
|
int isl_constraint_plain_cmp(__isl_keep isl_constraint *c1,
|
|
__isl_keep isl_constraint *c2)
|
|
{
|
|
int cmp;
|
|
int last1, last2;
|
|
|
|
if (c1 == c2)
|
|
return 0;
|
|
if (!c1)
|
|
return -1;
|
|
if (!c2)
|
|
return 1;
|
|
cmp = isl_local_space_cmp(c1->ls, c2->ls);
|
|
if (cmp != 0)
|
|
return cmp;
|
|
|
|
last1 = isl_seq_last_non_zero(c1->v->el + 1, c1->v->size - 1);
|
|
last2 = isl_seq_last_non_zero(c2->v->el + 1, c1->v->size - 1);
|
|
if (last1 != last2)
|
|
return last1 - last2;
|
|
|
|
return isl_seq_cmp(c1->v->el, c2->v->el, c1->v->size);
|
|
}
|
|
|
|
/* Compare two constraints based on their final (non-zero) coefficients.
|
|
* In particular, the constraint that involves later variables or
|
|
* that has a larger coefficient for a shared latest variable
|
|
* is considered "greater" than the other constraint.
|
|
*
|
|
* Return -1 if "c1" is "smaller" than "c2", 1 if "c1" is "greater"
|
|
* than "c2" and 0 if they are equal.
|
|
*
|
|
* If the constraints live in different local spaces, then we cannot
|
|
* really compare the constraints so we compare the local spaces instead.
|
|
*/
|
|
int isl_constraint_cmp_last_non_zero(__isl_keep isl_constraint *c1,
|
|
__isl_keep isl_constraint *c2)
|
|
{
|
|
int cmp;
|
|
int last1, last2;
|
|
|
|
if (c1 == c2)
|
|
return 0;
|
|
if (!c1)
|
|
return -1;
|
|
if (!c2)
|
|
return 1;
|
|
cmp = isl_local_space_cmp(c1->ls, c2->ls);
|
|
if (cmp != 0)
|
|
return cmp;
|
|
|
|
last1 = isl_seq_last_non_zero(c1->v->el + 1, c1->v->size - 1);
|
|
last2 = isl_seq_last_non_zero(c2->v->el + 1, c1->v->size - 1);
|
|
if (last1 != last2)
|
|
return last1 - last2;
|
|
if (last1 == -1)
|
|
return 0;
|
|
return isl_int_abs_cmp(c1->v->el[1 + last1], c2->v->el[1 + last2]);
|
|
}
|