forked from OSchip/llvm-project
928 lines
22 KiB
C
928 lines
22 KiB
C
/*
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* Copyright 2008-2009 Katholieke Universiteit Leuven
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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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*/
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#include <isl_map_private.h>
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#include <isl_seq.h>
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#include <isl/set.h>
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#include <isl/map.h>
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#include "isl_tab.h"
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#include <isl_point_private.h>
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#include <isl_vec_private.h>
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/* Expand the constraint "c" into "v". The initial "dim" dimensions
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* are the same, but "v" may have more divs than "c" and the divs of "c"
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* may appear in different positions in "v".
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* The number of divs in "c" is given by "n_div" and the mapping
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* of divs in "c" to divs in "v" is given by "div_map".
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*
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* Although it shouldn't happen in practice, it is theoretically
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* possible that two or more divs in "c" are mapped to the same div in "v".
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* These divs are then necessarily the same, so we simply add their
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* coefficients.
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*/
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static void expand_constraint(isl_vec *v, unsigned dim,
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isl_int *c, int *div_map, unsigned n_div)
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{
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int i;
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isl_seq_cpy(v->el, c, 1 + dim);
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isl_seq_clr(v->el + 1 + dim, v->size - (1 + dim));
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for (i = 0; i < n_div; ++i) {
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int pos = 1 + dim + div_map[i];
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isl_int_add(v->el[pos], v->el[pos], c[1 + dim + i]);
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}
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}
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/* Add all constraints of bmap to tab. The equalities of bmap
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* are added as a pair of inequalities.
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*/
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static int tab_add_constraints(struct isl_tab *tab,
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__isl_keep isl_basic_map *bmap, int *div_map)
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{
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int i;
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unsigned dim;
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unsigned tab_total;
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unsigned bmap_total;
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isl_vec *v;
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if (!tab || !bmap)
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return -1;
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tab_total = isl_basic_map_total_dim(tab->bmap);
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bmap_total = isl_basic_map_total_dim(bmap);
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dim = isl_space_dim(tab->bmap->dim, isl_dim_all);
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if (isl_tab_extend_cons(tab, 2 * bmap->n_eq + bmap->n_ineq) < 0)
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return -1;
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v = isl_vec_alloc(bmap->ctx, 1 + tab_total);
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if (!v)
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return -1;
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for (i = 0; i < bmap->n_eq; ++i) {
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expand_constraint(v, dim, bmap->eq[i], div_map, bmap->n_div);
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if (isl_tab_add_ineq(tab, v->el) < 0)
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goto error;
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isl_seq_neg(bmap->eq[i], bmap->eq[i], 1 + bmap_total);
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expand_constraint(v, dim, bmap->eq[i], div_map, bmap->n_div);
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if (isl_tab_add_ineq(tab, v->el) < 0)
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goto error;
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isl_seq_neg(bmap->eq[i], bmap->eq[i], 1 + bmap_total);
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if (tab->empty)
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break;
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}
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for (i = 0; i < bmap->n_ineq; ++i) {
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expand_constraint(v, dim, bmap->ineq[i], div_map, bmap->n_div);
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if (isl_tab_add_ineq(tab, v->el) < 0)
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goto error;
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if (tab->empty)
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break;
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}
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isl_vec_free(v);
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return 0;
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error:
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isl_vec_free(v);
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return -1;
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}
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/* Add a specific constraint of bmap (or its opposite) to tab.
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* The position of the constraint is specified by "c", where
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* the equalities of bmap are counted twice, once for the inequality
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* that is equal to the equality, and once for its negation.
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*/
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static int tab_add_constraint(struct isl_tab *tab,
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__isl_keep isl_basic_map *bmap, int *div_map, int c, int oppose)
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{
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unsigned dim;
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unsigned tab_total;
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unsigned bmap_total;
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isl_vec *v;
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int r;
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if (!tab || !bmap)
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return -1;
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tab_total = isl_basic_map_total_dim(tab->bmap);
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bmap_total = isl_basic_map_total_dim(bmap);
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dim = isl_space_dim(tab->bmap->dim, isl_dim_all);
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v = isl_vec_alloc(bmap->ctx, 1 + tab_total);
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if (!v)
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return -1;
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if (c < 2 * bmap->n_eq) {
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if ((c % 2) != oppose)
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isl_seq_neg(bmap->eq[c/2], bmap->eq[c/2],
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1 + bmap_total);
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if (oppose)
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isl_int_sub_ui(bmap->eq[c/2][0], bmap->eq[c/2][0], 1);
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expand_constraint(v, dim, bmap->eq[c/2], div_map, bmap->n_div);
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r = isl_tab_add_ineq(tab, v->el);
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if (oppose)
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isl_int_add_ui(bmap->eq[c/2][0], bmap->eq[c/2][0], 1);
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if ((c % 2) != oppose)
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isl_seq_neg(bmap->eq[c/2], bmap->eq[c/2],
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1 + bmap_total);
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} else {
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c -= 2 * bmap->n_eq;
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if (oppose) {
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isl_seq_neg(bmap->ineq[c], bmap->ineq[c],
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1 + bmap_total);
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isl_int_sub_ui(bmap->ineq[c][0], bmap->ineq[c][0], 1);
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}
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expand_constraint(v, dim, bmap->ineq[c], div_map, bmap->n_div);
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r = isl_tab_add_ineq(tab, v->el);
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if (oppose) {
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isl_int_add_ui(bmap->ineq[c][0], bmap->ineq[c][0], 1);
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isl_seq_neg(bmap->ineq[c], bmap->ineq[c],
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1 + bmap_total);
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}
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}
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isl_vec_free(v);
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return r;
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}
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static int tab_add_divs(struct isl_tab *tab, __isl_keep isl_basic_map *bmap,
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int **div_map)
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{
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int i, j;
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struct isl_vec *vec;
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unsigned total;
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unsigned dim;
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if (!bmap)
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return -1;
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if (!bmap->n_div)
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return 0;
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if (!*div_map)
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*div_map = isl_alloc_array(bmap->ctx, int, bmap->n_div);
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if (!*div_map)
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return -1;
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total = isl_basic_map_total_dim(tab->bmap);
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dim = total - tab->bmap->n_div;
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vec = isl_vec_alloc(bmap->ctx, 2 + total + bmap->n_div);
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if (!vec)
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return -1;
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for (i = 0; i < bmap->n_div; ++i) {
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isl_seq_cpy(vec->el, bmap->div[i], 2 + dim);
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isl_seq_clr(vec->el + 2 + dim, tab->bmap->n_div);
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for (j = 0; j < i; ++j)
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isl_int_set(vec->el[2 + dim + (*div_map)[j]],
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bmap->div[i][2 + dim + j]);
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for (j = 0; j < tab->bmap->n_div; ++j)
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if (isl_seq_eq(tab->bmap->div[j],
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vec->el, 2 + dim + tab->bmap->n_div))
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break;
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(*div_map)[i] = j;
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if (j == tab->bmap->n_div) {
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vec->size = 2 + dim + tab->bmap->n_div;
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if (isl_tab_add_div(tab, vec, NULL, NULL) < 0)
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goto error;
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}
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}
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isl_vec_free(vec);
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return 0;
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error:
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isl_vec_free(vec);
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return -1;
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}
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/* Freeze all constraints of tableau tab.
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*/
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static int tab_freeze_constraints(struct isl_tab *tab)
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{
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int i;
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for (i = 0; i < tab->n_con; ++i)
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if (isl_tab_freeze_constraint(tab, i) < 0)
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return -1;
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return 0;
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}
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/* Check for redundant constraints starting at offset.
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* Put the indices of the redundant constraints in index
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* and return the number of redundant constraints.
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*/
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static int n_non_redundant(isl_ctx *ctx, struct isl_tab *tab,
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int offset, int **index)
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{
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int i, n;
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int n_test = tab->n_con - offset;
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if (isl_tab_detect_redundant(tab) < 0)
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return -1;
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if (n_test == 0)
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return 0;
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if (!*index)
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*index = isl_alloc_array(ctx, int, n_test);
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if (!*index)
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return -1;
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for (n = 0, i = 0; i < n_test; ++i) {
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int r;
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r = isl_tab_is_redundant(tab, offset + i);
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if (r < 0)
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return -1;
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if (r)
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continue;
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(*index)[n++] = i;
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}
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return n;
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}
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/* basic_map_collect_diff calls add on each of the pieces of
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* the set difference between bmap and map until the add method
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* return a negative value.
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*/
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struct isl_diff_collector {
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int (*add)(struct isl_diff_collector *dc,
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__isl_take isl_basic_map *bmap);
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};
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/* Compute the set difference between bmap and map and call
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* dc->add on each of the piece until this function returns
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* a negative value.
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* Return 0 on success and -1 on error. dc->add returning
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* a negative value is treated as an error, but the calling
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* function can interpret the results based on the state of dc.
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*
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* Assumes that map has known divs.
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*
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* The difference is computed by a backtracking algorithm.
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* Each level corresponds to a basic map in "map".
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* When a node in entered for the first time, we check
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* if the corresonding basic map intersects the current piece
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* of "bmap". If not, we move to the next level.
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* Otherwise, we split the current piece into as many
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* pieces as there are non-redundant constraints of the current
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* basic map in the intersection. Each of these pieces is
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* handled by a child of the current node.
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* In particular, if there are n non-redundant constraints,
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* then for each 0 <= i < n, a piece is cut off by adding
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* constraints 0 <= j < i and adding the opposite of constraint i.
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* If there are no non-redundant constraints, meaning that the current
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* piece is a subset of the current basic map, then we simply backtrack.
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*
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* In the leaves, we check if the remaining piece has any integer points
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* and if so, pass it along to dc->add. As a special case, if nothing
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* has been removed when we end up in a leaf, we simply pass along
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* the original basic map.
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*/
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static isl_stat basic_map_collect_diff(__isl_take isl_basic_map *bmap,
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__isl_take isl_map *map, struct isl_diff_collector *dc)
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{
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int i;
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int modified;
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int level;
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int init;
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isl_bool empty;
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isl_ctx *ctx;
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struct isl_tab *tab = NULL;
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struct isl_tab_undo **snap = NULL;
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int *k = NULL;
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int *n = NULL;
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int **index = NULL;
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int **div_map = NULL;
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empty = isl_basic_map_is_empty(bmap);
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if (empty) {
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isl_basic_map_free(bmap);
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isl_map_free(map);
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return empty < 0 ? isl_stat_error : isl_stat_ok;
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}
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bmap = isl_basic_map_cow(bmap);
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map = isl_map_cow(map);
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if (!bmap || !map)
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goto error;
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ctx = map->ctx;
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snap = isl_alloc_array(map->ctx, struct isl_tab_undo *, map->n);
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k = isl_alloc_array(map->ctx, int, map->n);
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n = isl_alloc_array(map->ctx, int, map->n);
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index = isl_calloc_array(map->ctx, int *, map->n);
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div_map = isl_calloc_array(map->ctx, int *, map->n);
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if (!snap || !k || !n || !index || !div_map)
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goto error;
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bmap = isl_basic_map_order_divs(bmap);
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map = isl_map_order_divs(map);
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tab = isl_tab_from_basic_map(bmap, 1);
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if (!tab)
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goto error;
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modified = 0;
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level = 0;
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init = 1;
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while (level >= 0) {
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if (level >= map->n) {
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int empty;
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struct isl_basic_map *bm;
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if (!modified) {
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if (dc->add(dc, isl_basic_map_copy(bmap)) < 0)
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goto error;
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break;
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}
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bm = isl_basic_map_copy(tab->bmap);
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bm = isl_basic_map_cow(bm);
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bm = isl_basic_map_update_from_tab(bm, tab);
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bm = isl_basic_map_simplify(bm);
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bm = isl_basic_map_finalize(bm);
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empty = isl_basic_map_is_empty(bm);
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if (empty)
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isl_basic_map_free(bm);
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else if (dc->add(dc, bm) < 0)
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goto error;
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if (empty < 0)
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goto error;
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level--;
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init = 0;
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continue;
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}
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if (init) {
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int offset;
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struct isl_tab_undo *snap2;
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snap2 = isl_tab_snap(tab);
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if (tab_add_divs(tab, map->p[level],
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&div_map[level]) < 0)
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goto error;
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offset = tab->n_con;
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snap[level] = isl_tab_snap(tab);
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if (tab_freeze_constraints(tab) < 0)
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goto error;
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if (tab_add_constraints(tab, map->p[level],
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div_map[level]) < 0)
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goto error;
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k[level] = 0;
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n[level] = 0;
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if (tab->empty) {
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if (isl_tab_rollback(tab, snap2) < 0)
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goto error;
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level++;
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continue;
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}
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modified = 1;
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n[level] = n_non_redundant(ctx, tab, offset,
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&index[level]);
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if (n[level] < 0)
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goto error;
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if (n[level] == 0) {
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level--;
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init = 0;
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continue;
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}
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if (isl_tab_rollback(tab, snap[level]) < 0)
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goto error;
|
|
if (tab_add_constraint(tab, map->p[level],
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div_map[level], index[level][0], 1) < 0)
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goto error;
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level++;
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continue;
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} else {
|
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if (k[level] + 1 >= n[level]) {
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level--;
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continue;
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}
|
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if (isl_tab_rollback(tab, snap[level]) < 0)
|
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goto error;
|
|
if (tab_add_constraint(tab, map->p[level],
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div_map[level],
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index[level][k[level]], 0) < 0)
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goto error;
|
|
snap[level] = isl_tab_snap(tab);
|
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k[level]++;
|
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if (tab_add_constraint(tab, map->p[level],
|
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div_map[level],
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index[level][k[level]], 1) < 0)
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goto error;
|
|
level++;
|
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init = 1;
|
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continue;
|
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}
|
|
}
|
|
|
|
isl_tab_free(tab);
|
|
free(snap);
|
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free(n);
|
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free(k);
|
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for (i = 0; index && i < map->n; ++i)
|
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free(index[i]);
|
|
free(index);
|
|
for (i = 0; div_map && i < map->n; ++i)
|
|
free(div_map[i]);
|
|
free(div_map);
|
|
|
|
isl_basic_map_free(bmap);
|
|
isl_map_free(map);
|
|
|
|
return isl_stat_ok;
|
|
error:
|
|
isl_tab_free(tab);
|
|
free(snap);
|
|
free(n);
|
|
free(k);
|
|
for (i = 0; index && i < map->n; ++i)
|
|
free(index[i]);
|
|
free(index);
|
|
for (i = 0; div_map && i < map->n; ++i)
|
|
free(div_map[i]);
|
|
free(div_map);
|
|
isl_basic_map_free(bmap);
|
|
isl_map_free(map);
|
|
return isl_stat_error;
|
|
}
|
|
|
|
/* A diff collector that actually collects all parts of the
|
|
* set difference in the field diff.
|
|
*/
|
|
struct isl_subtract_diff_collector {
|
|
struct isl_diff_collector dc;
|
|
struct isl_map *diff;
|
|
};
|
|
|
|
/* isl_subtract_diff_collector callback.
|
|
*/
|
|
static int basic_map_subtract_add(struct isl_diff_collector *dc,
|
|
__isl_take isl_basic_map *bmap)
|
|
{
|
|
struct isl_subtract_diff_collector *sdc;
|
|
sdc = (struct isl_subtract_diff_collector *)dc;
|
|
|
|
sdc->diff = isl_map_union_disjoint(sdc->diff,
|
|
isl_map_from_basic_map(bmap));
|
|
|
|
return sdc->diff ? 0 : -1;
|
|
}
|
|
|
|
/* Return the set difference between bmap and map.
|
|
*/
|
|
static __isl_give isl_map *basic_map_subtract(__isl_take isl_basic_map *bmap,
|
|
__isl_take isl_map *map)
|
|
{
|
|
struct isl_subtract_diff_collector sdc;
|
|
sdc.dc.add = &basic_map_subtract_add;
|
|
sdc.diff = isl_map_empty(isl_basic_map_get_space(bmap));
|
|
if (basic_map_collect_diff(bmap, map, &sdc.dc) < 0) {
|
|
isl_map_free(sdc.diff);
|
|
sdc.diff = NULL;
|
|
}
|
|
return sdc.diff;
|
|
}
|
|
|
|
/* Return an empty map living in the same space as "map1" and "map2".
|
|
*/
|
|
static __isl_give isl_map *replace_pair_by_empty( __isl_take isl_map *map1,
|
|
__isl_take isl_map *map2)
|
|
{
|
|
isl_space *space;
|
|
|
|
space = isl_map_get_space(map1);
|
|
isl_map_free(map1);
|
|
isl_map_free(map2);
|
|
return isl_map_empty(space);
|
|
}
|
|
|
|
/* Return the set difference between map1 and map2.
|
|
* (U_i A_i) \ (U_j B_j) is computed as U_i (A_i \ (U_j B_j))
|
|
*
|
|
* If "map1" and "map2" are obviously equal to each other,
|
|
* then return an empty map in the same space.
|
|
*
|
|
* If "map1" and "map2" are disjoint, then simply return "map1".
|
|
*/
|
|
static __isl_give isl_map *map_subtract( __isl_take isl_map *map1,
|
|
__isl_take isl_map *map2)
|
|
{
|
|
int i;
|
|
int equal, disjoint;
|
|
struct isl_map *diff;
|
|
|
|
if (!map1 || !map2)
|
|
goto error;
|
|
|
|
isl_assert(map1->ctx, isl_space_is_equal(map1->dim, map2->dim), goto error);
|
|
|
|
equal = isl_map_plain_is_equal(map1, map2);
|
|
if (equal < 0)
|
|
goto error;
|
|
if (equal)
|
|
return replace_pair_by_empty(map1, map2);
|
|
|
|
disjoint = isl_map_is_disjoint(map1, map2);
|
|
if (disjoint < 0)
|
|
goto error;
|
|
if (disjoint) {
|
|
isl_map_free(map2);
|
|
return map1;
|
|
}
|
|
|
|
map1 = isl_map_compute_divs(map1);
|
|
map2 = isl_map_compute_divs(map2);
|
|
if (!map1 || !map2)
|
|
goto error;
|
|
|
|
map1 = isl_map_remove_empty_parts(map1);
|
|
map2 = isl_map_remove_empty_parts(map2);
|
|
|
|
diff = isl_map_empty(isl_map_get_space(map1));
|
|
for (i = 0; i < map1->n; ++i) {
|
|
struct isl_map *d;
|
|
d = basic_map_subtract(isl_basic_map_copy(map1->p[i]),
|
|
isl_map_copy(map2));
|
|
if (ISL_F_ISSET(map1, ISL_MAP_DISJOINT))
|
|
diff = isl_map_union_disjoint(diff, d);
|
|
else
|
|
diff = isl_map_union(diff, d);
|
|
}
|
|
|
|
isl_map_free(map1);
|
|
isl_map_free(map2);
|
|
|
|
return diff;
|
|
error:
|
|
isl_map_free(map1);
|
|
isl_map_free(map2);
|
|
return NULL;
|
|
}
|
|
|
|
__isl_give isl_map *isl_map_subtract( __isl_take isl_map *map1,
|
|
__isl_take isl_map *map2)
|
|
{
|
|
return isl_map_align_params_map_map_and(map1, map2, &map_subtract);
|
|
}
|
|
|
|
struct isl_set *isl_set_subtract(struct isl_set *set1, struct isl_set *set2)
|
|
{
|
|
return (struct isl_set *)
|
|
isl_map_subtract(
|
|
(struct isl_map *)set1, (struct isl_map *)set2);
|
|
}
|
|
|
|
/* Remove the elements of "dom" from the domain of "map".
|
|
*/
|
|
static __isl_give isl_map *map_subtract_domain(__isl_take isl_map *map,
|
|
__isl_take isl_set *dom)
|
|
{
|
|
isl_map *ext_dom;
|
|
|
|
if (!isl_map_compatible_domain(map, dom))
|
|
isl_die(isl_set_get_ctx(dom), isl_error_invalid,
|
|
"incompatible spaces", goto error);
|
|
|
|
ext_dom = isl_map_universe(isl_map_get_space(map));
|
|
ext_dom = isl_map_intersect_domain(ext_dom, dom);
|
|
return isl_map_subtract(map, ext_dom);
|
|
error:
|
|
isl_map_free(map);
|
|
isl_set_free(dom);
|
|
return NULL;
|
|
}
|
|
|
|
__isl_give isl_map *isl_map_subtract_domain(__isl_take isl_map *map,
|
|
__isl_take isl_set *dom)
|
|
{
|
|
return isl_map_align_params_map_map_and(map, dom, &map_subtract_domain);
|
|
}
|
|
|
|
/* Remove the elements of "dom" from the range of "map".
|
|
*/
|
|
static __isl_give isl_map *map_subtract_range(__isl_take isl_map *map,
|
|
__isl_take isl_set *dom)
|
|
{
|
|
isl_map *ext_dom;
|
|
|
|
if (!isl_map_compatible_range(map, dom))
|
|
isl_die(isl_set_get_ctx(dom), isl_error_invalid,
|
|
"incompatible spaces", goto error);
|
|
|
|
ext_dom = isl_map_universe(isl_map_get_space(map));
|
|
ext_dom = isl_map_intersect_range(ext_dom, dom);
|
|
return isl_map_subtract(map, ext_dom);
|
|
error:
|
|
isl_map_free(map);
|
|
isl_set_free(dom);
|
|
return NULL;
|
|
}
|
|
|
|
__isl_give isl_map *isl_map_subtract_range(__isl_take isl_map *map,
|
|
__isl_take isl_set *dom)
|
|
{
|
|
return isl_map_align_params_map_map_and(map, dom, &map_subtract_range);
|
|
}
|
|
|
|
/* A diff collector that aborts as soon as its add function is called,
|
|
* setting empty to 0.
|
|
*/
|
|
struct isl_is_empty_diff_collector {
|
|
struct isl_diff_collector dc;
|
|
isl_bool empty;
|
|
};
|
|
|
|
/* isl_is_empty_diff_collector callback.
|
|
*/
|
|
static int basic_map_is_empty_add(struct isl_diff_collector *dc,
|
|
__isl_take isl_basic_map *bmap)
|
|
{
|
|
struct isl_is_empty_diff_collector *edc;
|
|
edc = (struct isl_is_empty_diff_collector *)dc;
|
|
|
|
edc->empty = 0;
|
|
|
|
isl_basic_map_free(bmap);
|
|
return -1;
|
|
}
|
|
|
|
/* Check if bmap \ map is empty by computing this set difference
|
|
* and breaking off as soon as the difference is known to be non-empty.
|
|
*/
|
|
static isl_bool basic_map_diff_is_empty(__isl_keep isl_basic_map *bmap,
|
|
__isl_keep isl_map *map)
|
|
{
|
|
isl_bool empty;
|
|
isl_stat r;
|
|
struct isl_is_empty_diff_collector edc;
|
|
|
|
empty = isl_basic_map_plain_is_empty(bmap);
|
|
if (empty)
|
|
return empty;
|
|
|
|
edc.dc.add = &basic_map_is_empty_add;
|
|
edc.empty = isl_bool_true;
|
|
r = basic_map_collect_diff(isl_basic_map_copy(bmap),
|
|
isl_map_copy(map), &edc.dc);
|
|
if (!edc.empty)
|
|
return isl_bool_false;
|
|
|
|
return r < 0 ? isl_bool_error : isl_bool_true;
|
|
}
|
|
|
|
/* Check if map1 \ map2 is empty by checking if the set difference is empty
|
|
* for each of the basic maps in map1.
|
|
*/
|
|
static isl_bool map_diff_is_empty(__isl_keep isl_map *map1,
|
|
__isl_keep isl_map *map2)
|
|
{
|
|
int i;
|
|
isl_bool is_empty = isl_bool_true;
|
|
|
|
if (!map1 || !map2)
|
|
return isl_bool_error;
|
|
|
|
for (i = 0; i < map1->n; ++i) {
|
|
is_empty = basic_map_diff_is_empty(map1->p[i], map2);
|
|
if (is_empty < 0 || !is_empty)
|
|
break;
|
|
}
|
|
|
|
return is_empty;
|
|
}
|
|
|
|
/* Return 1 if "bmap" contains a single element.
|
|
*/
|
|
int isl_basic_map_plain_is_singleton(__isl_keep isl_basic_map *bmap)
|
|
{
|
|
if (!bmap)
|
|
return -1;
|
|
if (bmap->n_div)
|
|
return 0;
|
|
if (bmap->n_ineq)
|
|
return 0;
|
|
return bmap->n_eq == isl_basic_map_total_dim(bmap);
|
|
}
|
|
|
|
/* Return 1 if "map" contains a single element.
|
|
*/
|
|
int isl_map_plain_is_singleton(__isl_keep isl_map *map)
|
|
{
|
|
if (!map)
|
|
return -1;
|
|
if (map->n != 1)
|
|
return 0;
|
|
|
|
return isl_basic_map_plain_is_singleton(map->p[0]);
|
|
}
|
|
|
|
/* Given a singleton basic map, extract the single element
|
|
* as an isl_point.
|
|
*/
|
|
static __isl_give isl_point *singleton_extract_point(
|
|
__isl_keep isl_basic_map *bmap)
|
|
{
|
|
int j;
|
|
unsigned dim;
|
|
struct isl_vec *point;
|
|
isl_int m;
|
|
|
|
if (!bmap)
|
|
return NULL;
|
|
|
|
dim = isl_basic_map_total_dim(bmap);
|
|
isl_assert(bmap->ctx, bmap->n_eq == dim, return NULL);
|
|
point = isl_vec_alloc(bmap->ctx, 1 + dim);
|
|
if (!point)
|
|
return NULL;
|
|
|
|
isl_int_init(m);
|
|
|
|
isl_int_set_si(point->el[0], 1);
|
|
for (j = 0; j < bmap->n_eq; ++j) {
|
|
int i = dim - 1 - j;
|
|
isl_assert(bmap->ctx,
|
|
isl_seq_first_non_zero(bmap->eq[j] + 1, i) == -1,
|
|
goto error);
|
|
isl_assert(bmap->ctx,
|
|
isl_int_is_one(bmap->eq[j][1 + i]) ||
|
|
isl_int_is_negone(bmap->eq[j][1 + i]),
|
|
goto error);
|
|
isl_assert(bmap->ctx,
|
|
isl_seq_first_non_zero(bmap->eq[j]+1+i+1, dim-i-1) == -1,
|
|
goto error);
|
|
|
|
isl_int_gcd(m, point->el[0], bmap->eq[j][1 + i]);
|
|
isl_int_divexact(m, bmap->eq[j][1 + i], m);
|
|
isl_int_abs(m, m);
|
|
isl_seq_scale(point->el, point->el, m, 1 + i);
|
|
isl_int_divexact(m, point->el[0], bmap->eq[j][1 + i]);
|
|
isl_int_neg(m, m);
|
|
isl_int_mul(point->el[1 + i], m, bmap->eq[j][0]);
|
|
}
|
|
|
|
isl_int_clear(m);
|
|
return isl_point_alloc(isl_basic_map_get_space(bmap), point);
|
|
error:
|
|
isl_int_clear(m);
|
|
isl_vec_free(point);
|
|
return NULL;
|
|
}
|
|
|
|
/* Return isl_bool_true if the singleton map "map1" is a subset of "map2",
|
|
* i.e., if the single element of "map1" is also an element of "map2".
|
|
* Assumes "map2" has known divs.
|
|
*/
|
|
static isl_bool map_is_singleton_subset(__isl_keep isl_map *map1,
|
|
__isl_keep isl_map *map2)
|
|
{
|
|
int i;
|
|
isl_bool is_subset = isl_bool_false;
|
|
struct isl_point *point;
|
|
|
|
if (!map1 || !map2)
|
|
return isl_bool_error;
|
|
if (map1->n != 1)
|
|
isl_die(isl_map_get_ctx(map1), isl_error_invalid,
|
|
"expecting single-disjunct input",
|
|
return isl_bool_error);
|
|
|
|
point = singleton_extract_point(map1->p[0]);
|
|
if (!point)
|
|
return isl_bool_error;
|
|
|
|
for (i = 0; i < map2->n; ++i) {
|
|
is_subset = isl_basic_map_contains_point(map2->p[i], point);
|
|
if (is_subset)
|
|
break;
|
|
}
|
|
|
|
isl_point_free(point);
|
|
return is_subset;
|
|
}
|
|
|
|
static isl_bool map_is_subset(__isl_keep isl_map *map1,
|
|
__isl_keep isl_map *map2)
|
|
{
|
|
isl_bool is_subset = isl_bool_false;
|
|
isl_bool empty;
|
|
int rat1, rat2;
|
|
|
|
if (!map1 || !map2)
|
|
return isl_bool_error;
|
|
|
|
if (!isl_map_has_equal_space(map1, map2))
|
|
return isl_bool_false;
|
|
|
|
empty = isl_map_is_empty(map1);
|
|
if (empty < 0)
|
|
return isl_bool_error;
|
|
if (empty)
|
|
return isl_bool_true;
|
|
|
|
empty = isl_map_is_empty(map2);
|
|
if (empty < 0)
|
|
return isl_bool_error;
|
|
if (empty)
|
|
return isl_bool_false;
|
|
|
|
rat1 = isl_map_has_rational(map1);
|
|
rat2 = isl_map_has_rational(map2);
|
|
if (rat1 < 0 || rat2 < 0)
|
|
return isl_bool_error;
|
|
if (rat1 && !rat2)
|
|
return isl_bool_false;
|
|
|
|
if (isl_map_plain_is_universe(map2))
|
|
return isl_bool_true;
|
|
|
|
map2 = isl_map_compute_divs(isl_map_copy(map2));
|
|
if (isl_map_plain_is_singleton(map1)) {
|
|
is_subset = map_is_singleton_subset(map1, map2);
|
|
isl_map_free(map2);
|
|
return is_subset;
|
|
}
|
|
is_subset = map_diff_is_empty(map1, map2);
|
|
isl_map_free(map2);
|
|
|
|
return is_subset;
|
|
}
|
|
|
|
isl_bool isl_map_is_subset(__isl_keep isl_map *map1, __isl_keep isl_map *map2)
|
|
{
|
|
return isl_map_align_params_map_map_and_test(map1, map2,
|
|
&map_is_subset);
|
|
}
|
|
|
|
isl_bool isl_set_is_subset(__isl_keep isl_set *set1, __isl_keep isl_set *set2)
|
|
{
|
|
return isl_map_is_subset(
|
|
(struct isl_map *)set1, (struct isl_map *)set2);
|
|
}
|
|
|
|
__isl_give isl_map *isl_map_make_disjoint(__isl_take isl_map *map)
|
|
{
|
|
int i;
|
|
struct isl_subtract_diff_collector sdc;
|
|
sdc.dc.add = &basic_map_subtract_add;
|
|
|
|
if (!map)
|
|
return NULL;
|
|
if (ISL_F_ISSET(map, ISL_MAP_DISJOINT))
|
|
return map;
|
|
if (map->n <= 1)
|
|
return map;
|
|
|
|
map = isl_map_compute_divs(map);
|
|
map = isl_map_remove_empty_parts(map);
|
|
|
|
if (!map || map->n <= 1)
|
|
return map;
|
|
|
|
sdc.diff = isl_map_from_basic_map(isl_basic_map_copy(map->p[0]));
|
|
|
|
for (i = 1; i < map->n; ++i) {
|
|
struct isl_basic_map *bmap = isl_basic_map_copy(map->p[i]);
|
|
struct isl_map *copy = isl_map_copy(sdc.diff);
|
|
if (basic_map_collect_diff(bmap, copy, &sdc.dc) < 0) {
|
|
isl_map_free(sdc.diff);
|
|
sdc.diff = NULL;
|
|
break;
|
|
}
|
|
}
|
|
|
|
isl_map_free(map);
|
|
|
|
return sdc.diff;
|
|
}
|
|
|
|
__isl_give isl_set *isl_set_make_disjoint(__isl_take isl_set *set)
|
|
{
|
|
return (struct isl_set *)isl_map_make_disjoint((struct isl_map *)set);
|
|
}
|
|
|
|
__isl_give isl_map *isl_map_complement(__isl_take isl_map *map)
|
|
{
|
|
isl_map *universe;
|
|
|
|
if (!map)
|
|
return NULL;
|
|
|
|
universe = isl_map_universe(isl_map_get_space(map));
|
|
|
|
return isl_map_subtract(universe, map);
|
|
}
|
|
|
|
__isl_give isl_set *isl_set_complement(__isl_take isl_set *set)
|
|
{
|
|
return isl_map_complement(set);
|
|
}
|