| /* |
| * Copyright 2010-2011 INRIA Saclay |
| * Copyright 2014 Ecole Normale Superieure |
| * |
| * Use of this software is governed by the MIT license |
| * |
| * Written by Sven Verdoolaege, INRIA Saclay - Ile-de-France, |
| * Parc Club Orsay Universite, ZAC des vignes, 4 rue Jacques Monod, |
| * 91893 Orsay, France |
| * and Ecole Normale Superieure, 45 rue d'Ulm, 75230 Paris, France |
| */ |
| |
| #include <isl_map_private.h> |
| #include <isl_aff_private.h> |
| #include <isl_morph.h> |
| #include <isl_seq.h> |
| #include <isl_mat_private.h> |
| #include <isl_space_private.h> |
| #include <isl_equalities.h> |
| #include <isl_id_private.h> |
| |
| isl_ctx *isl_morph_get_ctx(__isl_keep isl_morph *morph) |
| { |
| if (!morph) |
| return NULL; |
| return isl_basic_set_get_ctx(morph->dom); |
| } |
| |
| __isl_give isl_morph *isl_morph_alloc( |
| __isl_take isl_basic_set *dom, __isl_take isl_basic_set *ran, |
| __isl_take isl_mat *map, __isl_take isl_mat *inv) |
| { |
| isl_morph *morph; |
| |
| if (!dom || !ran || !map || !inv) |
| goto error; |
| |
| morph = isl_alloc_type(dom->ctx, struct isl_morph); |
| if (!morph) |
| goto error; |
| |
| morph->ref = 1; |
| morph->dom = dom; |
| morph->ran = ran; |
| morph->map = map; |
| morph->inv = inv; |
| |
| return morph; |
| error: |
| isl_basic_set_free(dom); |
| isl_basic_set_free(ran); |
| isl_mat_free(map); |
| isl_mat_free(inv); |
| return NULL; |
| } |
| |
| __isl_give isl_morph *isl_morph_copy(__isl_keep isl_morph *morph) |
| { |
| if (!morph) |
| return NULL; |
| |
| morph->ref++; |
| return morph; |
| } |
| |
| __isl_give isl_morph *isl_morph_dup(__isl_keep isl_morph *morph) |
| { |
| if (!morph) |
| return NULL; |
| |
| return isl_morph_alloc(isl_basic_set_copy(morph->dom), |
| isl_basic_set_copy(morph->ran), |
| isl_mat_copy(morph->map), isl_mat_copy(morph->inv)); |
| } |
| |
| __isl_give isl_morph *isl_morph_cow(__isl_take isl_morph *morph) |
| { |
| if (!morph) |
| return NULL; |
| |
| if (morph->ref == 1) |
| return morph; |
| morph->ref--; |
| return isl_morph_dup(morph); |
| } |
| |
| __isl_null isl_morph *isl_morph_free(__isl_take isl_morph *morph) |
| { |
| if (!morph) |
| return NULL; |
| |
| if (--morph->ref > 0) |
| return NULL; |
| |
| isl_basic_set_free(morph->dom); |
| isl_basic_set_free(morph->ran); |
| isl_mat_free(morph->map); |
| isl_mat_free(morph->inv); |
| free(morph); |
| |
| return NULL; |
| } |
| |
| /* Is "morph" an identity on the parameters? |
| */ |
| static int identity_on_parameters(__isl_keep isl_morph *morph) |
| { |
| int is_identity; |
| unsigned nparam; |
| isl_mat *sub; |
| |
| nparam = isl_morph_dom_dim(morph, isl_dim_param); |
| if (nparam != isl_morph_ran_dim(morph, isl_dim_param)) |
| return 0; |
| if (nparam == 0) |
| return 1; |
| sub = isl_mat_sub_alloc(morph->map, 0, 1 + nparam, 0, 1 + nparam); |
| is_identity = isl_mat_is_scaled_identity(sub); |
| isl_mat_free(sub); |
| |
| return is_identity; |
| } |
| |
| /* Return an affine expression of the variables of the range of "morph" |
| * in terms of the parameters and the variables of the domain on "morph". |
| * |
| * In order for the space manipulations to make sense, we require |
| * that the parameters are not modified by "morph". |
| */ |
| __isl_give isl_multi_aff *isl_morph_get_var_multi_aff( |
| __isl_keep isl_morph *morph) |
| { |
| isl_space *dom, *ran, *space; |
| isl_local_space *ls; |
| isl_multi_aff *ma; |
| unsigned nparam, nvar; |
| int i; |
| int is_identity; |
| |
| if (!morph) |
| return NULL; |
| |
| is_identity = identity_on_parameters(morph); |
| if (is_identity < 0) |
| return NULL; |
| if (!is_identity) |
| isl_die(isl_morph_get_ctx(morph), isl_error_invalid, |
| "cannot handle parameter compression", return NULL); |
| |
| dom = isl_morph_get_dom_space(morph); |
| ls = isl_local_space_from_space(isl_space_copy(dom)); |
| ran = isl_morph_get_ran_space(morph); |
| space = isl_space_map_from_domain_and_range(dom, ran); |
| ma = isl_multi_aff_zero(space); |
| |
| nparam = isl_multi_aff_dim(ma, isl_dim_param); |
| nvar = isl_multi_aff_dim(ma, isl_dim_out); |
| for (i = 0; i < nvar; ++i) { |
| isl_val *val; |
| isl_vec *v; |
| isl_aff *aff; |
| |
| v = isl_mat_get_row(morph->map, 1 + nparam + i); |
| v = isl_vec_insert_els(v, 0, 1); |
| val = isl_mat_get_element_val(morph->map, 0, 0); |
| v = isl_vec_set_element_val(v, 0, val); |
| aff = isl_aff_alloc_vec(isl_local_space_copy(ls), v); |
| ma = isl_multi_aff_set_aff(ma, i, aff); |
| } |
| |
| isl_local_space_free(ls); |
| return ma; |
| } |
| |
| /* Return the domain space of "morph". |
| */ |
| __isl_give isl_space *isl_morph_get_dom_space(__isl_keep isl_morph *morph) |
| { |
| if (!morph) |
| return NULL; |
| |
| return isl_basic_set_get_space(morph->dom); |
| } |
| |
| __isl_give isl_space *isl_morph_get_ran_space(__isl_keep isl_morph *morph) |
| { |
| if (!morph) |
| return NULL; |
| |
| return isl_space_copy(morph->ran->dim); |
| } |
| |
| unsigned isl_morph_dom_dim(__isl_keep isl_morph *morph, enum isl_dim_type type) |
| { |
| if (!morph) |
| return 0; |
| |
| return isl_basic_set_dim(morph->dom, type); |
| } |
| |
| unsigned isl_morph_ran_dim(__isl_keep isl_morph *morph, enum isl_dim_type type) |
| { |
| if (!morph) |
| return 0; |
| |
| return isl_basic_set_dim(morph->ran, type); |
| } |
| |
| __isl_give isl_morph *isl_morph_remove_dom_dims(__isl_take isl_morph *morph, |
| enum isl_dim_type type, unsigned first, unsigned n) |
| { |
| unsigned dom_offset; |
| |
| if (n == 0) |
| return morph; |
| |
| morph = isl_morph_cow(morph); |
| if (!morph) |
| return NULL; |
| |
| dom_offset = 1 + isl_space_offset(morph->dom->dim, type); |
| |
| morph->dom = isl_basic_set_remove_dims(morph->dom, type, first, n); |
| |
| morph->map = isl_mat_drop_cols(morph->map, dom_offset + first, n); |
| |
| morph->inv = isl_mat_drop_rows(morph->inv, dom_offset + first, n); |
| |
| if (morph->dom && morph->ran && morph->map && morph->inv) |
| return morph; |
| |
| isl_morph_free(morph); |
| return NULL; |
| } |
| |
| __isl_give isl_morph *isl_morph_remove_ran_dims(__isl_take isl_morph *morph, |
| enum isl_dim_type type, unsigned first, unsigned n) |
| { |
| unsigned ran_offset; |
| |
| if (n == 0) |
| return morph; |
| |
| morph = isl_morph_cow(morph); |
| if (!morph) |
| return NULL; |
| |
| ran_offset = 1 + isl_space_offset(morph->ran->dim, type); |
| |
| morph->ran = isl_basic_set_remove_dims(morph->ran, type, first, n); |
| |
| morph->map = isl_mat_drop_rows(morph->map, ran_offset + first, n); |
| |
| morph->inv = isl_mat_drop_cols(morph->inv, ran_offset + first, n); |
| |
| if (morph->dom && morph->ran && morph->map && morph->inv) |
| return morph; |
| |
| isl_morph_free(morph); |
| return NULL; |
| } |
| |
| /* Project domain of morph onto its parameter domain. |
| */ |
| __isl_give isl_morph *isl_morph_dom_params(__isl_take isl_morph *morph) |
| { |
| unsigned n; |
| |
| morph = isl_morph_cow(morph); |
| if (!morph) |
| return NULL; |
| n = isl_basic_set_dim(morph->dom, isl_dim_set); |
| morph = isl_morph_remove_dom_dims(morph, isl_dim_set, 0, n); |
| if (!morph) |
| return NULL; |
| morph->dom = isl_basic_set_params(morph->dom); |
| if (morph->dom) |
| return morph; |
| |
| isl_morph_free(morph); |
| return NULL; |
| } |
| |
| /* Project range of morph onto its parameter domain. |
| */ |
| __isl_give isl_morph *isl_morph_ran_params(__isl_take isl_morph *morph) |
| { |
| unsigned n; |
| |
| morph = isl_morph_cow(morph); |
| if (!morph) |
| return NULL; |
| n = isl_basic_set_dim(morph->ran, isl_dim_set); |
| morph = isl_morph_remove_ran_dims(morph, isl_dim_set, 0, n); |
| if (!morph) |
| return NULL; |
| morph->ran = isl_basic_set_params(morph->ran); |
| if (morph->ran) |
| return morph; |
| |
| isl_morph_free(morph); |
| return NULL; |
| } |
| |
| void isl_morph_print_internal(__isl_take isl_morph *morph, FILE *out) |
| { |
| if (!morph) |
| return; |
| |
| isl_basic_set_dump(morph->dom); |
| isl_basic_set_dump(morph->ran); |
| isl_mat_print_internal(morph->map, out, 4); |
| isl_mat_print_internal(morph->inv, out, 4); |
| } |
| |
| void isl_morph_dump(__isl_take isl_morph *morph) |
| { |
| isl_morph_print_internal(morph, stderr); |
| } |
| |
| __isl_give isl_morph *isl_morph_identity(__isl_keep isl_basic_set *bset) |
| { |
| isl_mat *id; |
| isl_basic_set *universe; |
| unsigned total; |
| |
| if (!bset) |
| return NULL; |
| |
| total = isl_basic_set_total_dim(bset); |
| id = isl_mat_identity(bset->ctx, 1 + total); |
| universe = isl_basic_set_universe(isl_space_copy(bset->dim)); |
| |
| return isl_morph_alloc(universe, isl_basic_set_copy(universe), |
| id, isl_mat_copy(id)); |
| } |
| |
| /* Create a(n identity) morphism between empty sets of the same dimension |
| * a "bset". |
| */ |
| __isl_give isl_morph *isl_morph_empty(__isl_keep isl_basic_set *bset) |
| { |
| isl_mat *id; |
| isl_basic_set *empty; |
| unsigned total; |
| |
| if (!bset) |
| return NULL; |
| |
| total = isl_basic_set_total_dim(bset); |
| id = isl_mat_identity(bset->ctx, 1 + total); |
| empty = isl_basic_set_empty(isl_space_copy(bset->dim)); |
| |
| return isl_morph_alloc(empty, isl_basic_set_copy(empty), |
| id, isl_mat_copy(id)); |
| } |
| |
| /* Construct a basic set described by the "n" equalities of "bset" starting |
| * at "first". |
| */ |
| static __isl_give isl_basic_set *copy_equalities(__isl_keep isl_basic_set *bset, |
| unsigned first, unsigned n) |
| { |
| int i, k; |
| isl_basic_set *eq; |
| unsigned total; |
| |
| isl_assert(bset->ctx, bset->n_div == 0, return NULL); |
| |
| total = isl_basic_set_total_dim(bset); |
| eq = isl_basic_set_alloc_space(isl_space_copy(bset->dim), 0, n, 0); |
| if (!eq) |
| return NULL; |
| for (i = 0; i < n; ++i) { |
| k = isl_basic_set_alloc_equality(eq); |
| if (k < 0) |
| goto error; |
| isl_seq_cpy(eq->eq[k], bset->eq[first + i], 1 + total); |
| } |
| |
| return eq; |
| error: |
| isl_basic_set_free(eq); |
| return NULL; |
| } |
| |
| /* 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 dimensions of type "type". |
| * |
| * We first select the equalities of interest, that is those that involve |
| * variables of type "type" and no later variables. |
| * Denote those equalities as |
| * |
| * -C(p) + M x = 0 |
| * |
| * where C(p) depends on the parameters if type == isl_dim_set and |
| * is a constant if type == isl_dim_param. |
| * |
| * Use isl_mat_final_variable_compression to construct a compression |
| * |
| * x = T x' |
| * |
| * x' = Q x |
| * |
| * If T is a zero-column matrix, then the set of equality constraints |
| * do not admit a solution. In this case, an empty morphism is returned. |
| * |
| * Both matrices are extended to map the full original space to the full |
| * compressed space. |
| */ |
| __isl_give isl_morph *isl_basic_set_variable_compression_with_id( |
| __isl_keep isl_basic_set *bset, enum isl_dim_type type, |
| __isl_keep isl_id *id) |
| { |
| unsigned otype; |
| unsigned ntype; |
| unsigned orest; |
| unsigned nrest; |
| int f_eq, n_eq; |
| isl_space *space; |
| isl_mat *E, *Q, *C; |
| isl_basic_set *dom, *ran; |
| |
| if (!bset) |
| return NULL; |
| |
| if (isl_basic_set_plain_is_empty(bset)) |
| return isl_morph_empty(bset); |
| |
| isl_assert(bset->ctx, bset->n_div == 0, return NULL); |
| |
| otype = 1 + isl_space_offset(bset->dim, type); |
| ntype = isl_basic_set_dim(bset, type); |
| orest = otype + ntype; |
| nrest = isl_basic_set_total_dim(bset) - (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); |
| space = isl_space_set_tuple_id(space, isl_dim_set, isl_id_copy(id)); |
| 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. |
| * Specifically, the morphism reduces the number of dimensions of type "type". |
| */ |
| __isl_give isl_morph *isl_basic_set_variable_compression( |
| __isl_keep isl_basic_set *bset, enum isl_dim_type type) |
| { |
| return isl_basic_set_variable_compression_with_id(bset, type, |
| &isl_id_none); |
| } |
| |
| /* 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) |
| { |
| unsigned nparam; |
| unsigned nvar; |
| unsigned 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 (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); |
| } |
| |
| /* Add stride constraints to "bset" based on the inverse mapping |
| * that was plugged in. In particular, if morph maps x' to x, |
| * the constraints of the original input |
| * |
| * A x' + b >= 0 |
| * |
| * have been rewritten to |
| * |
| * A inv x + b >= 0 |
| * |
| * However, this substitution may loose information on the integrality of x', |
| * so we need to impose that |
| * |
| * inv x |
| * |
| * is integral. If inv = B/d, this means that we need to impose that |
| * |
| * B x = 0 mod d |
| * |
| * or |
| * |
| * exists alpha in Z^m: B x = d alpha |
| * |
| * This function is similar to add_strides in isl_affine_hull.c |
| */ |
| static __isl_give isl_basic_set *add_strides(__isl_take isl_basic_set *bset, |
| __isl_keep isl_morph *morph) |
| { |
| int i, div, k; |
| isl_int gcd; |
| |
| if (isl_int_is_one(morph->inv->row[0][0])) |
| return bset; |
| |
| isl_int_init(gcd); |
| |
| for (i = 0; 1 + i < morph->inv->n_row; ++i) { |
| isl_seq_gcd(morph->inv->row[1 + i], morph->inv->n_col, &gcd); |
| if (isl_int_is_divisible_by(gcd, morph->inv->row[0][0])) |
| continue; |
| div = isl_basic_set_alloc_div(bset); |
| if (div < 0) |
| goto error; |
| isl_int_set_si(bset->div[div][0], 0); |
| k = isl_basic_set_alloc_equality(bset); |
| if (k < 0) |
| goto error; |
| isl_seq_cpy(bset->eq[k], morph->inv->row[1 + i], |
| morph->inv->n_col); |
| isl_seq_clr(bset->eq[k] + morph->inv->n_col, bset->n_div); |
| isl_int_set(bset->eq[k][morph->inv->n_col + div], |
| morph->inv->row[0][0]); |
| } |
| |
| isl_int_clear(gcd); |
| |
| return bset; |
| error: |
| isl_int_clear(gcd); |
| isl_basic_set_free(bset); |
| return NULL; |
| } |
| |
| /* Apply the morphism to the basic set. |
| * We basically just compute the preimage of "bset" under the inverse mapping |
| * in morph, add in stride constraints and intersect with the range |
| * of the morphism. |
| */ |
| __isl_give isl_basic_set *isl_morph_basic_set(__isl_take isl_morph *morph, |
| __isl_take isl_basic_set *bset) |
| { |
| isl_basic_set *res = NULL; |
| isl_mat *mat = NULL; |
| int i, k; |
| int max_stride; |
| |
| if (!morph || !bset) |
| goto error; |
| |
| isl_assert(bset->ctx, isl_space_is_equal(bset->dim, morph->dom->dim), |
| goto error); |
| |
| max_stride = morph->inv->n_row - 1; |
| if (isl_int_is_one(morph->inv->row[0][0])) |
| max_stride = 0; |
| res = isl_basic_set_alloc_space(isl_space_copy(morph->ran->dim), |
| bset->n_div + max_stride, bset->n_eq + max_stride, bset->n_ineq); |
| |
| for (i = 0; i < bset->n_div; ++i) |
| if (isl_basic_set_alloc_div(res) < 0) |
| goto error; |
| |
| mat = isl_mat_sub_alloc6(bset->ctx, bset->eq, 0, bset->n_eq, |
| 0, morph->inv->n_row); |
| mat = isl_mat_product(mat, isl_mat_copy(morph->inv)); |
| if (!mat) |
| goto error; |
| for (i = 0; i < bset->n_eq; ++i) { |
| k = isl_basic_set_alloc_equality(res); |
| if (k < 0) |
| goto error; |
| isl_seq_cpy(res->eq[k], mat->row[i], mat->n_col); |
| isl_seq_scale(res->eq[k] + mat->n_col, bset->eq[i] + mat->n_col, |
| morph->inv->row[0][0], bset->n_div); |
| } |
| isl_mat_free(mat); |
| |
| mat = isl_mat_sub_alloc6(bset->ctx, bset->ineq, 0, bset->n_ineq, |
| 0, morph->inv->n_row); |
| mat = isl_mat_product(mat, isl_mat_copy(morph->inv)); |
| if (!mat) |
| goto error; |
| for (i = 0; i < bset->n_ineq; ++i) { |
| k = isl_basic_set_alloc_inequality(res); |
| if (k < 0) |
| goto error; |
| isl_seq_cpy(res->ineq[k], mat->row[i], mat->n_col); |
| isl_seq_scale(res->ineq[k] + mat->n_col, |
| bset->ineq[i] + mat->n_col, |
| morph->inv->row[0][0], bset->n_div); |
| } |
| isl_mat_free(mat); |
| |
| mat = isl_mat_sub_alloc6(bset->ctx, bset->div, 0, bset->n_div, |
| 1, morph->inv->n_row); |
| mat = isl_mat_product(mat, isl_mat_copy(morph->inv)); |
| if (!mat) |
| goto error; |
| for (i = 0; i < bset->n_div; ++i) { |
| isl_int_mul(res->div[i][0], |
| morph->inv->row[0][0], bset->div[i][0]); |
| isl_seq_cpy(res->div[i] + 1, mat->row[i], mat->n_col); |
| isl_seq_scale(res->div[i] + 1 + mat->n_col, |
| bset->div[i] + 1 + mat->n_col, |
| morph->inv->row[0][0], bset->n_div); |
| } |
| isl_mat_free(mat); |
| |
| res = add_strides(res, morph); |
| |
| if (isl_basic_set_is_rational(bset)) |
| res = isl_basic_set_set_rational(res); |
| |
| res = isl_basic_set_simplify(res); |
| res = isl_basic_set_finalize(res); |
| |
| res = isl_basic_set_intersect(res, isl_basic_set_copy(morph->ran)); |
| |
| isl_morph_free(morph); |
| isl_basic_set_free(bset); |
| return res; |
| error: |
| isl_mat_free(mat); |
| isl_morph_free(morph); |
| isl_basic_set_free(bset); |
| isl_basic_set_free(res); |
| return NULL; |
| } |
| |
| /* Apply the morphism to the set. |
| */ |
| __isl_give isl_set *isl_morph_set(__isl_take isl_morph *morph, |
| __isl_take isl_set *set) |
| { |
| int i; |
| |
| if (!morph || !set) |
| goto error; |
| |
| isl_assert(set->ctx, isl_space_is_equal(set->dim, morph->dom->dim), goto error); |
| |
| set = isl_set_cow(set); |
| if (!set) |
| goto error; |
| |
| isl_space_free(set->dim); |
| set->dim = isl_space_copy(morph->ran->dim); |
| if (!set->dim) |
| goto error; |
| |
| for (i = 0; i < set->n; ++i) { |
| set->p[i] = isl_morph_basic_set(isl_morph_copy(morph), set->p[i]); |
| if (!set->p[i]) |
| goto error; |
| } |
| |
| isl_morph_free(morph); |
| |
| ISL_F_CLR(set, ISL_SET_NORMALIZED); |
| |
| 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; |
| } |