809 lines
20 KiB
C
809 lines
20 KiB
C
/*
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* Copyright 2010-2011 INRIA Saclay
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* Copyright 2014 Ecole Normale Superieure
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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, INRIA Saclay - Ile-de-France,
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* Parc Club Orsay Universite, ZAC des vignes, 4 rue Jacques Monod,
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* 91893 Orsay, France
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* and Ecole Normale Superieure, 45 rue d'Ulm, 75230 Paris, France
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*/
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#include <isl_map_private.h>
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#include <isl_aff_private.h>
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#include <isl_morph.h>
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#include <isl_seq.h>
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#include <isl_mat_private.h>
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#include <isl_space_private.h>
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#include <isl_equalities.h>
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#include <isl_id_private.h>
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#include <isl_aff_private.h>
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#include <isl_vec_private.h>
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isl_ctx *isl_morph_get_ctx(__isl_keep isl_morph *morph)
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{
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if (!morph)
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return NULL;
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return isl_basic_set_get_ctx(morph->dom);
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}
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__isl_give isl_morph *isl_morph_alloc(
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__isl_take isl_basic_set *dom, __isl_take isl_basic_set *ran,
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__isl_take isl_mat *map, __isl_take isl_mat *inv)
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{
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isl_morph *morph;
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if (!dom || !ran || !map || !inv)
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goto error;
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morph = isl_alloc_type(dom->ctx, struct isl_morph);
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if (!morph)
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goto error;
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morph->ref = 1;
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morph->dom = dom;
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morph->ran = ran;
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morph->map = map;
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morph->inv = inv;
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return morph;
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error:
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isl_basic_set_free(dom);
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isl_basic_set_free(ran);
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isl_mat_free(map);
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isl_mat_free(inv);
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return NULL;
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}
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__isl_give isl_morph *isl_morph_copy(__isl_keep isl_morph *morph)
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{
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if (!morph)
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return NULL;
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morph->ref++;
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return morph;
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}
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__isl_give isl_morph *isl_morph_dup(__isl_keep isl_morph *morph)
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{
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if (!morph)
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return NULL;
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return isl_morph_alloc(isl_basic_set_copy(morph->dom),
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isl_basic_set_copy(morph->ran),
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isl_mat_copy(morph->map), isl_mat_copy(morph->inv));
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}
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__isl_give isl_morph *isl_morph_cow(__isl_take isl_morph *morph)
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{
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if (!morph)
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return NULL;
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if (morph->ref == 1)
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return morph;
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morph->ref--;
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return isl_morph_dup(morph);
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}
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__isl_null isl_morph *isl_morph_free(__isl_take isl_morph *morph)
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{
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if (!morph)
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return NULL;
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if (--morph->ref > 0)
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return NULL;
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isl_basic_set_free(morph->dom);
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isl_basic_set_free(morph->ran);
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isl_mat_free(morph->map);
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isl_mat_free(morph->inv);
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free(morph);
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return NULL;
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}
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/* Is "morph" an identity on the parameters?
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*/
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static isl_bool identity_on_parameters(__isl_keep isl_morph *morph)
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{
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isl_bool is_identity;
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isl_size nparam, nparam_ran;
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isl_mat *sub;
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nparam = isl_morph_dom_dim(morph, isl_dim_param);
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nparam_ran = isl_morph_ran_dim(morph, isl_dim_param);
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if (nparam < 0 || nparam_ran < 0)
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return isl_bool_error;
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if (nparam != nparam_ran)
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return isl_bool_false;
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if (nparam == 0)
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return isl_bool_true;
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sub = isl_mat_sub_alloc(morph->map, 0, 1 + nparam, 0, 1 + nparam);
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is_identity = isl_mat_is_scaled_identity(sub);
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isl_mat_free(sub);
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return is_identity;
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}
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/* Return an affine expression of the variables of the range of "morph"
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* in terms of the parameters and the variables of the domain on "morph".
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*
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* In order for the space manipulations to make sense, we require
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* that the parameters are not modified by "morph".
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*/
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__isl_give isl_multi_aff *isl_morph_get_var_multi_aff(
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__isl_keep isl_morph *morph)
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{
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isl_space *dom, *ran, *space;
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isl_local_space *ls;
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isl_multi_aff *ma;
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isl_size nparam, nvar;
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int i;
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isl_bool is_identity;
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if (!morph)
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return NULL;
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is_identity = identity_on_parameters(morph);
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if (is_identity < 0)
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return NULL;
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if (!is_identity)
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isl_die(isl_morph_get_ctx(morph), isl_error_invalid,
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"cannot handle parameter compression", return NULL);
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dom = isl_morph_get_dom_space(morph);
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ls = isl_local_space_from_space(isl_space_copy(dom));
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ran = isl_morph_get_ran_space(morph);
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space = isl_space_map_from_domain_and_range(dom, ran);
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ma = isl_multi_aff_zero(space);
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nparam = isl_multi_aff_dim(ma, isl_dim_param);
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nvar = isl_multi_aff_dim(ma, isl_dim_out);
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if (nparam < 0 || nvar < 0)
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ma = isl_multi_aff_free(ma);
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for (i = 0; i < nvar; ++i) {
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isl_val *val;
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isl_vec *v;
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isl_aff *aff;
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v = isl_mat_get_row(morph->map, 1 + nparam + i);
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v = isl_vec_insert_els(v, 0, 1);
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val = isl_mat_get_element_val(morph->map, 0, 0);
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v = isl_vec_set_element_val(v, 0, val);
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aff = isl_aff_alloc_vec(isl_local_space_copy(ls), v);
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ma = isl_multi_aff_set_aff(ma, i, aff);
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}
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isl_local_space_free(ls);
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return ma;
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}
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/* Return the domain space of "morph".
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*/
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static __isl_keep isl_space *isl_morph_peek_dom_space(
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__isl_keep isl_morph *morph)
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{
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if (!morph)
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return NULL;
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return isl_basic_set_peek_space(morph->dom);
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}
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/* Return a copy of the domain space of "morph".
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*/
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__isl_give isl_space *isl_morph_get_dom_space(__isl_keep isl_morph *morph)
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{
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return isl_space_copy(isl_morph_peek_dom_space(morph));
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}
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/* Check that the match against "space" with result "match" was successful.
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*/
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static isl_stat check_space_match(__isl_keep isl_space *space, isl_bool match)
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{
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if (match < 0)
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return isl_stat_error;
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if (!match)
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isl_die(isl_space_get_ctx(space), isl_error_invalid,
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"spaces don't match", return isl_stat_error);
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return isl_stat_ok;
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}
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/* Check that "morph" can be applied to the "space".
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*/
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isl_stat isl_morph_check_applies(__isl_keep isl_morph *morph,
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__isl_keep isl_space *space)
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{
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isl_space *dom_space;
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isl_bool applies;
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dom_space = isl_morph_peek_dom_space(morph);
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applies = isl_space_is_equal(dom_space, space);
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return check_space_match(space, applies);
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}
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__isl_give isl_space *isl_morph_get_ran_space(__isl_keep isl_morph *morph)
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{
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if (!morph)
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return NULL;
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return isl_space_copy(morph->ran->dim);
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}
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isl_size isl_morph_dom_dim(__isl_keep isl_morph *morph, enum isl_dim_type type)
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{
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if (!morph)
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return isl_size_error;
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return isl_basic_set_dim(morph->dom, type);
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}
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isl_size isl_morph_ran_dim(__isl_keep isl_morph *morph, enum isl_dim_type type)
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{
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if (!morph)
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return isl_size_error;
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return isl_basic_set_dim(morph->ran, type);
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}
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__isl_give isl_morph *isl_morph_remove_dom_dims(__isl_take isl_morph *morph,
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enum isl_dim_type type, unsigned first, unsigned n)
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{
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isl_size dom_offset;
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if (n == 0)
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return morph;
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morph = isl_morph_cow(morph);
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if (!morph)
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return NULL;
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dom_offset = isl_space_offset(morph->dom->dim, type);
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if (dom_offset < 0)
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return isl_morph_free(morph);
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morph->dom = isl_basic_set_remove_dims(morph->dom, type, first, n);
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morph->map = isl_mat_drop_cols(morph->map, 1 + dom_offset + first, n);
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morph->inv = isl_mat_drop_rows(morph->inv, 1 + dom_offset + first, n);
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if (morph->dom && morph->ran && morph->map && morph->inv)
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return morph;
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isl_morph_free(morph);
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return NULL;
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}
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__isl_give isl_morph *isl_morph_remove_ran_dims(__isl_take isl_morph *morph,
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enum isl_dim_type type, unsigned first, unsigned n)
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{
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isl_size ran_offset;
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if (n == 0)
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return morph;
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morph = isl_morph_cow(morph);
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if (!morph)
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return NULL;
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ran_offset = isl_space_offset(morph->ran->dim, type);
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if (ran_offset < 0)
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return isl_morph_free(morph);
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morph->ran = isl_basic_set_remove_dims(morph->ran, type, first, n);
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morph->map = isl_mat_drop_rows(morph->map, 1 + ran_offset + first, n);
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morph->inv = isl_mat_drop_cols(morph->inv, 1 + ran_offset + first, n);
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if (morph->dom && morph->ran && morph->map && morph->inv)
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return morph;
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isl_morph_free(morph);
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return NULL;
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}
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/* Project domain of morph onto its parameter domain.
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*/
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__isl_give isl_morph *isl_morph_dom_params(__isl_take isl_morph *morph)
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{
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isl_size n;
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morph = isl_morph_cow(morph);
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if (!morph)
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return NULL;
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n = isl_basic_set_dim(morph->dom, isl_dim_set);
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if (n < 0)
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return isl_morph_free(morph);
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morph = isl_morph_remove_dom_dims(morph, isl_dim_set, 0, n);
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if (!morph)
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return NULL;
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morph->dom = isl_basic_set_params(morph->dom);
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if (morph->dom)
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return morph;
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isl_morph_free(morph);
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return NULL;
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}
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/* Project range of morph onto its parameter domain.
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*/
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__isl_give isl_morph *isl_morph_ran_params(__isl_take isl_morph *morph)
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{
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isl_size n;
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morph = isl_morph_cow(morph);
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if (!morph)
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return NULL;
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n = isl_basic_set_dim(morph->ran, isl_dim_set);
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if (n < 0)
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return isl_morph_free(morph);
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morph = isl_morph_remove_ran_dims(morph, isl_dim_set, 0, n);
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if (!morph)
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return NULL;
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morph->ran = isl_basic_set_params(morph->ran);
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if (morph->ran)
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return morph;
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isl_morph_free(morph);
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return NULL;
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}
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/* Replace the identifier of the tuple of the range of the morph by "id".
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*/
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static __isl_give isl_morph *isl_morph_set_ran_tuple_id(
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__isl_take isl_morph *morph, __isl_keep isl_id *id)
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{
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morph = isl_morph_cow(morph);
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if (!morph)
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return NULL;
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morph->ran = isl_basic_set_set_tuple_id(morph->ran, isl_id_copy(id));
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if (!morph->ran)
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return isl_morph_free(morph);
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return morph;
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}
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void isl_morph_print_internal(__isl_take isl_morph *morph, FILE *out)
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{
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if (!morph)
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return;
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isl_basic_set_dump(morph->dom);
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isl_basic_set_dump(morph->ran);
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isl_mat_print_internal(morph->map, out, 4);
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isl_mat_print_internal(morph->inv, out, 4);
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}
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void isl_morph_dump(__isl_take isl_morph *morph)
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{
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isl_morph_print_internal(morph, stderr);
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}
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__isl_give isl_morph *isl_morph_identity(__isl_keep isl_basic_set *bset)
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{
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isl_mat *id;
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isl_basic_set *universe;
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isl_size total;
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total = isl_basic_set_dim(bset, isl_dim_all);
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if (total < 0)
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return NULL;
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id = isl_mat_identity(bset->ctx, 1 + total);
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universe = isl_basic_set_universe(isl_space_copy(bset->dim));
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return isl_morph_alloc(universe, isl_basic_set_copy(universe),
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id, isl_mat_copy(id));
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}
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/* Create a(n identity) morphism between empty sets of the same dimension
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* a "bset".
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*/
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__isl_give isl_morph *isl_morph_empty(__isl_keep isl_basic_set *bset)
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{
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isl_mat *id;
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isl_basic_set *empty;
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isl_size total;
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total = isl_basic_set_dim(bset, isl_dim_all);
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if (total < 0)
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return NULL;
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id = isl_mat_identity(bset->ctx, 1 + total);
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empty = isl_basic_set_empty(isl_space_copy(bset->dim));
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return isl_morph_alloc(empty, isl_basic_set_copy(empty),
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id, isl_mat_copy(id));
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}
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/* Construct a basic set described by the "n" equalities of "bset" starting
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* at "first".
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*/
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static __isl_give isl_basic_set *copy_equalities(__isl_keep isl_basic_set *bset,
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unsigned first, unsigned n)
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{
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int i, k;
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isl_basic_set *eq;
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isl_size total;
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total = isl_basic_set_dim(bset, isl_dim_all);
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if (total < 0 || isl_basic_set_check_no_locals(bset) < 0)
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return NULL;
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eq = isl_basic_set_alloc_space(isl_basic_set_get_space(bset), 0, n, 0);
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if (!eq)
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return NULL;
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for (i = 0; i < n; ++i) {
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k = isl_basic_set_alloc_equality(eq);
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if (k < 0)
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goto error;
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isl_seq_cpy(eq->eq[k], bset->eq[first + i], 1 + total);
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}
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return eq;
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error:
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isl_basic_set_free(eq);
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return NULL;
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}
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/* Given a basic set, exploit the equalities in the basic set to construct
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* a morphism that maps the basic set to a lower-dimensional space.
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* Specifically, the morphism reduces the number of dimensions of type "type".
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*
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* We first select the equalities of interest, that is those that involve
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* variables of type "type" and no later variables.
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* Denote those equalities as
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*
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* -C(p) + M x = 0
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*
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* where C(p) depends on the parameters if type == isl_dim_set and
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* is a constant if type == isl_dim_param.
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*
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* Use isl_mat_final_variable_compression to construct a compression
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*
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* x = T x'
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*
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* x' = Q x
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*
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* If T is a zero-column matrix, then the set of equality constraints
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* do not admit a solution. In this case, an empty morphism is returned.
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*
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* Both matrices are extended to map the full original space to the full
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* compressed space.
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*/
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__isl_give isl_morph *isl_basic_set_variable_compression(
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__isl_keep isl_basic_set *bset, enum isl_dim_type type)
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{
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unsigned otype;
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isl_size ntype;
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unsigned orest;
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unsigned nrest;
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isl_size total;
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int f_eq, n_eq;
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isl_space *space;
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isl_mat *E, *Q, *C;
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isl_basic_set *dom, *ran;
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if (!bset)
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return NULL;
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if (isl_basic_set_plain_is_empty(bset))
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return isl_morph_empty(bset);
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if (isl_basic_set_check_no_locals(bset) < 0)
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return NULL;
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ntype = isl_basic_set_dim(bset, type);
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total = isl_basic_set_dim(bset, isl_dim_all);
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if (ntype < 0 || total < 0)
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return NULL;
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otype = isl_basic_set_offset(bset, type);
|
|
orest = otype + ntype;
|
|
nrest = total - (orest - 1);
|
|
|
|
for (f_eq = 0; f_eq < bset->n_eq; ++f_eq)
|
|
if (isl_seq_first_non_zero(bset->eq[f_eq] + orest, nrest) == -1)
|
|
break;
|
|
for (n_eq = 0; f_eq + n_eq < bset->n_eq; ++n_eq)
|
|
if (isl_seq_first_non_zero(bset->eq[f_eq + n_eq] + otype, ntype) == -1)
|
|
break;
|
|
if (n_eq == 0)
|
|
return isl_morph_identity(bset);
|
|
|
|
E = isl_mat_sub_alloc6(bset->ctx, bset->eq, f_eq, n_eq, 0, orest);
|
|
C = isl_mat_final_variable_compression(E, otype - 1, &Q);
|
|
if (!Q)
|
|
C = isl_mat_free(C);
|
|
if (C && C->n_col == 0) {
|
|
isl_mat_free(C);
|
|
isl_mat_free(Q);
|
|
return isl_morph_empty(bset);
|
|
}
|
|
|
|
Q = isl_mat_diagonal(Q, isl_mat_identity(bset->ctx, nrest));
|
|
C = isl_mat_diagonal(C, isl_mat_identity(bset->ctx, nrest));
|
|
|
|
space = isl_space_copy(bset->dim);
|
|
space = isl_space_drop_dims(space, type, 0, ntype);
|
|
space = isl_space_add_dims(space, type, ntype - n_eq);
|
|
ran = isl_basic_set_universe(space);
|
|
dom = copy_equalities(bset, f_eq, n_eq);
|
|
|
|
return isl_morph_alloc(dom, ran, Q, C);
|
|
}
|
|
|
|
/* Given a basic set, exploit the equalities in the basic set to construct
|
|
* a morphism that maps the basic set to a lower-dimensional space
|
|
* with identifier "id".
|
|
* Specifically, the morphism reduces the number of set dimensions.
|
|
*/
|
|
__isl_give isl_morph *isl_basic_set_variable_compression_with_id(
|
|
__isl_keep isl_basic_set *bset, __isl_keep isl_id *id)
|
|
{
|
|
isl_morph *morph;
|
|
|
|
morph = isl_basic_set_variable_compression(bset, isl_dim_set);
|
|
morph = isl_morph_set_ran_tuple_id(morph, id);
|
|
return morph;
|
|
}
|
|
|
|
/* Construct a parameter compression for "bset".
|
|
* We basically just call isl_mat_parameter_compression with the right input
|
|
* and then extend the resulting matrix to include the variables.
|
|
*
|
|
* The implementation assumes that "bset" does not have any equalities
|
|
* that only involve the parameters and that isl_basic_set_gauss has
|
|
* been applied to "bset".
|
|
*
|
|
* Let the equalities be given as
|
|
*
|
|
* B(p) + A x = 0.
|
|
*
|
|
* We use isl_mat_parameter_compression_ext to compute the compression
|
|
*
|
|
* p = T p'.
|
|
*/
|
|
__isl_give isl_morph *isl_basic_set_parameter_compression(
|
|
__isl_keep isl_basic_set *bset)
|
|
{
|
|
isl_size nparam;
|
|
isl_size nvar;
|
|
isl_size n_div;
|
|
int n_eq;
|
|
isl_mat *H, *B;
|
|
isl_mat *map, *inv;
|
|
isl_basic_set *dom, *ran;
|
|
|
|
if (!bset)
|
|
return NULL;
|
|
|
|
if (isl_basic_set_plain_is_empty(bset))
|
|
return isl_morph_empty(bset);
|
|
if (bset->n_eq == 0)
|
|
return isl_morph_identity(bset);
|
|
|
|
n_eq = bset->n_eq;
|
|
nparam = isl_basic_set_dim(bset, isl_dim_param);
|
|
nvar = isl_basic_set_dim(bset, isl_dim_set);
|
|
n_div = isl_basic_set_dim(bset, isl_dim_div);
|
|
if (nparam < 0 || nvar < 0 || n_div < 0)
|
|
return NULL;
|
|
|
|
if (isl_seq_first_non_zero(bset->eq[bset->n_eq - 1] + 1 + nparam,
|
|
nvar + n_div) == -1)
|
|
isl_die(isl_basic_set_get_ctx(bset), isl_error_invalid,
|
|
"input not allowed to have parameter equalities",
|
|
return NULL);
|
|
if (n_eq > nvar + n_div)
|
|
isl_die(isl_basic_set_get_ctx(bset), isl_error_invalid,
|
|
"input not gaussed", return NULL);
|
|
|
|
B = isl_mat_sub_alloc6(bset->ctx, bset->eq, 0, n_eq, 0, 1 + nparam);
|
|
H = isl_mat_sub_alloc6(bset->ctx, bset->eq,
|
|
0, n_eq, 1 + nparam, nvar + n_div);
|
|
inv = isl_mat_parameter_compression_ext(B, H);
|
|
inv = isl_mat_diagonal(inv, isl_mat_identity(bset->ctx, nvar));
|
|
map = isl_mat_right_inverse(isl_mat_copy(inv));
|
|
|
|
dom = isl_basic_set_universe(isl_space_copy(bset->dim));
|
|
ran = isl_basic_set_universe(isl_space_copy(bset->dim));
|
|
|
|
return isl_morph_alloc(dom, ran, map, inv);
|
|
}
|
|
|
|
/* Construct an isl_multi_aff that corresponds
|
|
* to the affine transformation matrix "mat" and
|
|
* that lives in an anonymous space.
|
|
*/
|
|
static __isl_give isl_multi_aff *isl_multi_aff_from_aff_mat_anonymous(
|
|
__isl_take isl_mat *mat)
|
|
{
|
|
isl_size n_row, n_col;
|
|
isl_ctx *ctx;
|
|
isl_space *space;
|
|
|
|
ctx = isl_mat_get_ctx(mat);
|
|
n_row = isl_mat_rows(mat);
|
|
n_col = isl_mat_cols(mat);
|
|
if (n_row < 0 || n_col < 0)
|
|
space = NULL;
|
|
else
|
|
space = isl_space_alloc(ctx, 0, n_col - 1, n_row - 1);
|
|
|
|
return isl_multi_aff_from_aff_mat(space, mat);
|
|
}
|
|
|
|
/* Apply the morphism to the basic set.
|
|
* In particular, compute the preimage of "bset" under the inverse mapping
|
|
* in morph and intersect with the range of the morphism.
|
|
* Note that the mapping in morph applies to both parameters and set dimensions,
|
|
* so the parameters need to be treated as set dimensions during the call
|
|
* to isl_basic_set_preimage_multi_aff.
|
|
*/
|
|
__isl_give isl_basic_set *isl_morph_basic_set(__isl_take isl_morph *morph,
|
|
__isl_take isl_basic_set *bset)
|
|
{
|
|
isl_size n_param;
|
|
isl_space *space;
|
|
isl_multi_aff *ma;
|
|
|
|
if (!morph || isl_basic_set_check_equal_space(bset, morph->dom) < 0)
|
|
goto error;
|
|
n_param = isl_basic_set_dim(morph->dom, isl_dim_param);
|
|
if (n_param < 0)
|
|
goto error;
|
|
|
|
ma = isl_multi_aff_from_aff_mat_anonymous(isl_mat_copy(morph->inv));
|
|
|
|
bset = isl_basic_set_move_dims(bset, isl_dim_set, 0,
|
|
isl_dim_param, 0, n_param);
|
|
bset = isl_basic_set_preimage_multi_aff(bset, ma);
|
|
space = isl_basic_set_get_space(morph->ran);
|
|
bset = isl_basic_set_reset_space(bset, space);
|
|
bset = isl_basic_set_intersect(bset, isl_basic_set_copy(morph->ran));
|
|
|
|
isl_morph_free(morph);
|
|
return bset;
|
|
error:
|
|
isl_morph_free(morph);
|
|
isl_basic_set_free(bset);
|
|
return NULL;
|
|
}
|
|
|
|
/* Apply the morphism to the set.
|
|
* In particular, compute the preimage of "set" under the inverse mapping
|
|
* in morph and intersect with the range of the morphism.
|
|
* Note that the mapping in morph applies to both parameters and set dimensions,
|
|
* so the parameters need to be treated as set dimensions during the call
|
|
* to isl_set_preimage_multi_aff.
|
|
*/
|
|
__isl_give isl_set *isl_morph_set(__isl_take isl_morph *morph,
|
|
__isl_take isl_set *set)
|
|
{
|
|
isl_size n_param;
|
|
isl_space *space;
|
|
isl_multi_aff *ma;
|
|
isl_basic_set *ran;
|
|
|
|
if (!morph || isl_set_basic_set_check_equal_space(set, morph->dom) < 0)
|
|
goto error;
|
|
n_param = isl_basic_set_dim(morph->dom, isl_dim_param);
|
|
if (n_param < 0)
|
|
goto error;
|
|
|
|
ma = isl_multi_aff_from_aff_mat_anonymous(isl_mat_copy(morph->inv));
|
|
|
|
set = isl_set_move_dims(set, isl_dim_set, 0, isl_dim_param, 0, n_param);
|
|
set = isl_set_preimage_multi_aff(set, ma);
|
|
space = isl_basic_set_get_space(morph->ran);
|
|
set = isl_set_reset_space(set, space);
|
|
ran = isl_basic_set_copy(morph->ran);
|
|
set = isl_set_intersect(set, isl_set_from_basic_set(ran));
|
|
|
|
isl_morph_free(morph);
|
|
return set;
|
|
error:
|
|
isl_set_free(set);
|
|
isl_morph_free(morph);
|
|
return NULL;
|
|
}
|
|
|
|
/* Construct a morphism that first does morph2 and then morph1.
|
|
*/
|
|
__isl_give isl_morph *isl_morph_compose(__isl_take isl_morph *morph1,
|
|
__isl_take isl_morph *morph2)
|
|
{
|
|
isl_mat *map, *inv;
|
|
isl_basic_set *dom, *ran;
|
|
|
|
if (!morph1 || !morph2)
|
|
goto error;
|
|
|
|
map = isl_mat_product(isl_mat_copy(morph1->map), isl_mat_copy(morph2->map));
|
|
inv = isl_mat_product(isl_mat_copy(morph2->inv), isl_mat_copy(morph1->inv));
|
|
dom = isl_morph_basic_set(isl_morph_inverse(isl_morph_copy(morph2)),
|
|
isl_basic_set_copy(morph1->dom));
|
|
dom = isl_basic_set_intersect(dom, isl_basic_set_copy(morph2->dom));
|
|
ran = isl_morph_basic_set(isl_morph_copy(morph1),
|
|
isl_basic_set_copy(morph2->ran));
|
|
ran = isl_basic_set_intersect(ran, isl_basic_set_copy(morph1->ran));
|
|
|
|
isl_morph_free(morph1);
|
|
isl_morph_free(morph2);
|
|
|
|
return isl_morph_alloc(dom, ran, map, inv);
|
|
error:
|
|
isl_morph_free(morph1);
|
|
isl_morph_free(morph2);
|
|
return NULL;
|
|
}
|
|
|
|
__isl_give isl_morph *isl_morph_inverse(__isl_take isl_morph *morph)
|
|
{
|
|
isl_basic_set *bset;
|
|
isl_mat *mat;
|
|
|
|
morph = isl_morph_cow(morph);
|
|
if (!morph)
|
|
return NULL;
|
|
|
|
bset = morph->dom;
|
|
morph->dom = morph->ran;
|
|
morph->ran = bset;
|
|
|
|
mat = morph->map;
|
|
morph->map = morph->inv;
|
|
morph->inv = mat;
|
|
|
|
return morph;
|
|
}
|
|
|
|
/* We detect all the equalities first to avoid implicit equalities
|
|
* being discovered during the computations. In particular,
|
|
* the compression on the variables could expose additional stride
|
|
* constraints on the parameters. This would result in existentially
|
|
* quantified variables after applying the resulting morph, which
|
|
* in turn could break invariants of the calling functions.
|
|
*/
|
|
__isl_give isl_morph *isl_basic_set_full_compression(
|
|
__isl_keep isl_basic_set *bset)
|
|
{
|
|
isl_morph *morph, *morph2;
|
|
|
|
bset = isl_basic_set_copy(bset);
|
|
bset = isl_basic_set_detect_equalities(bset);
|
|
|
|
morph = isl_basic_set_variable_compression(bset, isl_dim_param);
|
|
bset = isl_morph_basic_set(isl_morph_copy(morph), bset);
|
|
|
|
morph2 = isl_basic_set_parameter_compression(bset);
|
|
bset = isl_morph_basic_set(isl_morph_copy(morph2), bset);
|
|
|
|
morph = isl_morph_compose(morph2, morph);
|
|
|
|
morph2 = isl_basic_set_variable_compression(bset, isl_dim_set);
|
|
isl_basic_set_free(bset);
|
|
|
|
morph = isl_morph_compose(morph2, morph);
|
|
|
|
return morph;
|
|
}
|
|
|
|
__isl_give isl_vec *isl_morph_vec(__isl_take isl_morph *morph,
|
|
__isl_take isl_vec *vec)
|
|
{
|
|
if (!morph)
|
|
goto error;
|
|
|
|
vec = isl_mat_vec_product(isl_mat_copy(morph->map), vec);
|
|
|
|
isl_morph_free(morph);
|
|
return vec;
|
|
error:
|
|
isl_morph_free(morph);
|
|
isl_vec_free(vec);
|
|
return NULL;
|
|
}
|