/*
* Copyright 2011 INRIA Saclay
- * Copyright 2011 Universiteit Leiden
+ * Copyright 2011 Sven Verdoolaege
*
* Use of this software is governed by the GNU LGPLv2.1 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 Leiden Institute of Advanced Computer Science,
- * Universiteit Leiden, Niels Bohrweg 1, 2333 CA Leiden, The Netherlands
*/
+#include <isl_ctx_private.h>
#include <isl_map_private.h>
#include <isl_aff_private.h>
-#include <isl_dim_private.h>
+#include <isl_space_private.h>
#include <isl_local_space_private.h>
#include <isl_mat_private.h>
+#include <isl_list_private.h>
#include <isl/constraint.h>
#include <isl/seq.h>
#include <isl/set.h>
return aff ? isl_local_space_dim(aff->ls, type) : 0;
}
-__isl_give isl_dim *isl_aff_get_dim(__isl_keep isl_aff *aff)
+__isl_give isl_space *isl_aff_get_space(__isl_keep isl_aff *aff)
{
- return aff ? isl_local_space_get_dim(aff->ls) : NULL;
+ return aff ? isl_local_space_get_space(aff->ls) : NULL;
}
__isl_give isl_local_space *isl_aff_get_local_space(__isl_keep isl_aff *aff)
return aff ? isl_local_space_get_dim_name(aff->ls, type, pos) : 0;
}
-__isl_give isl_aff *isl_aff_reset_dim(__isl_take isl_aff *aff,
- __isl_take isl_dim *dim)
+__isl_give isl_aff *isl_aff_reset_space(__isl_take isl_aff *aff,
+ __isl_take isl_space *dim)
{
aff = isl_aff_cow(aff);
if (!aff || !dim)
goto error;
- aff->ls = isl_local_space_reset_dim(aff->ls, dim);
+ aff->ls = isl_local_space_reset_space(aff->ls, dim);
if (!aff->ls)
return isl_aff_free(aff);
return aff;
error:
isl_aff_free(aff);
- isl_dim_free(dim);
+ isl_space_free(dim);
return NULL;
}
if (!vec || !r)
goto error;
- res = isl_vec_alloc(vec->ctx, 2 + isl_dim_total(r->dim) + n_div);
+ res = isl_vec_alloc(vec->ctx,
+ 2 + isl_space_dim(r->dim, isl_dim_all) + n_div);
isl_seq_cpy(res->el, vec->el, 2);
isl_seq_clr(res->el + 2, res->size - 2);
for (i = 0; i < r->len; ++i)
/* Given f, return floor(f).
* If f is an integer expression, then just return f.
- * Otherwise, create a new div d = [f] and return the expression d.
+ * Otherwise, if f = g/m, write g = q m + r,
+ * create a new div d = [r/m] and return the expression q + d.
+ * The coefficients in r are taken to lie between -m/2 and m/2.
*/
__isl_give isl_aff *isl_aff_floor(__isl_take isl_aff *aff)
{
+ int i;
int size;
isl_ctx *ctx;
+ isl_vec *div;
if (!aff)
return NULL;
if (!aff)
return NULL;
- aff->ls = isl_local_space_add_div(aff->ls, isl_vec_copy(aff->v));
- if (!aff->ls)
+ aff->v = isl_vec_cow(aff->v);
+ div = isl_vec_copy(aff->v);
+ div = isl_vec_cow(div);
+ if (!div)
return isl_aff_free(aff);
ctx = isl_aff_get_ctx(aff);
+ isl_int_fdiv_q(aff->v->el[0], aff->v->el[0], ctx->two);
+ for (i = 1; i < aff->v->size; ++i) {
+ isl_int_fdiv_r(div->el[i], div->el[i], div->el[0]);
+ isl_int_fdiv_q(aff->v->el[i], aff->v->el[i], div->el[0]);
+ if (isl_int_gt(div->el[i], aff->v->el[0])) {
+ isl_int_sub(div->el[i], div->el[i], div->el[0]);
+ isl_int_add_ui(aff->v->el[i], aff->v->el[i], 1);
+ }
+ }
+
+ aff->ls = isl_local_space_add_div(aff->ls, div);
+ if (!aff->ls)
+ return isl_aff_free(aff);
+
size = aff->v->size;
- isl_vec_free(aff->v);
- aff->v = isl_vec_alloc(ctx, size + 1);
- aff->v = isl_vec_clr(aff->v);
+ aff->v = isl_vec_extend(aff->v, size + 1);
if (!aff->v)
return isl_aff_free(aff);
isl_int_set_si(aff->v->el[0], 1);
return aff;
}
+/* Compute
+ *
+ * aff mod m = aff - m * floor(aff/m)
+ */
+__isl_give isl_aff *isl_aff_mod(__isl_take isl_aff *aff, isl_int m)
+{
+ isl_aff *res;
+
+ res = isl_aff_copy(aff);
+ aff = isl_aff_scale_down(aff, m);
+ aff = isl_aff_floor(aff);
+ aff = isl_aff_scale(aff, m);
+ res = isl_aff_sub(res, aff);
+
+ return res;
+}
+
+/* Compute
+ *
+ * pwaff mod m = pwaff - m * floor(pwaff/m)
+ */
+__isl_give isl_pw_aff *isl_pw_aff_mod(__isl_take isl_pw_aff *pwaff, isl_int m)
+{
+ isl_pw_aff *res;
+
+ res = isl_pw_aff_copy(pwaff);
+ pwaff = isl_pw_aff_scale_down(pwaff, m);
+ pwaff = isl_pw_aff_floor(pwaff);
+ pwaff = isl_pw_aff_scale(pwaff, m);
+ res = isl_pw_aff_sub(res, pwaff);
+
+ return res;
+}
+
/* Given f, return ceil(f).
* If f is an integer expression, then just return f.
* Otherwise, create a new div d = [-f] and return the expression -d.
goto error;
ctx = isl_aff_get_ctx(aff1);
- if (!isl_dim_equal(aff1->ls->dim, aff2->ls->dim))
+ if (!isl_space_is_equal(aff1->ls->dim, aff2->ls->dim))
isl_die(ctx, isl_error_invalid,
"spaces don't match", goto error);
* The integer divisions in this local space are assumed to appear
* as regular dimensions in "eq".
*/
-static __isl_give isl_aff *isl_aff_substitute_equalities(
+static __isl_give isl_aff *isl_aff_substitute_equalities_lifted(
__isl_take isl_aff *aff, __isl_take isl_basic_set *eq)
{
int i, j;
if (!aff->ls)
goto error;
- total = 1 + isl_dim_total(eq->dim);
+ total = 1 + isl_space_dim(eq->dim, isl_dim_all);
n_div = eq->n_div;
for (i = 0; i < eq->n_eq; ++i) {
j = isl_seq_last_non_zero(eq->eq[i], total + n_div);
return NULL;
}
+/* Exploit the equalities in "eq" to simplify the affine expression
+ * and the expressions of the integer divisions in the local space.
+ */
+static __isl_give isl_aff *isl_aff_substitute_equalities(
+ __isl_take isl_aff *aff, __isl_take isl_basic_set *eq)
+{
+ int n_div;
+
+ if (!aff || !eq)
+ goto error;
+ n_div = isl_local_space_dim(aff->ls, isl_dim_div);
+ if (n_div > 0)
+ eq = isl_basic_set_add(eq, isl_dim_set, n_div);
+ return isl_aff_substitute_equalities_lifted(aff, eq);
+error:
+ isl_basic_set_free(eq);
+ isl_aff_free(aff);
+ return NULL;
+}
+
/* Look for equalities among the variables shared by context and aff
* and the integer divisions of aff, if any.
* The equalities are then used to eliminate coefficients and/or integer
}
hull = isl_set_affine_hull(context);
- return isl_aff_substitute_equalities(aff, hull);
+ return isl_aff_substitute_equalities_lifted(aff, hull);
error:
isl_aff_free(aff);
isl_set_free(context);
return isl_basic_set_from_constraint(ineq);
}
+/* Return a basic set containing those elements in the space
+ * of aff where it is zero.
+ */
+__isl_give isl_basic_set *isl_aff_zero_basic_set(__isl_take isl_aff *aff)
+{
+ isl_constraint *ineq;
+
+ ineq = isl_equality_from_aff(aff);
+
+ return isl_basic_set_from_constraint(ineq);
+}
+
/* Return a basic set containing those elements in the shared space
* of aff1 and aff2 where aff1 is greater than or equal to aff2.
*/
return isl_aff_nonneg_basic_set(aff1);
}
+/* Return a basic set containing those elements in the shared space
+ * of aff1 and aff2 where aff1 is smaller than or equal to aff2.
+ */
+__isl_give isl_basic_set *isl_aff_le_basic_set(__isl_take isl_aff *aff1,
+ __isl_take isl_aff *aff2)
+{
+ return isl_aff_ge_basic_set(aff2, aff1);
+}
+
__isl_give isl_aff *isl_aff_add_on_domain(__isl_keep isl_set *dom,
__isl_take isl_aff *aff1, __isl_take isl_aff *aff2)
{
return isl_pw_aff_insert_dims(pwaff, type, pos, n);
}
+__isl_give isl_pw_aff *isl_pw_aff_set_tuple_id(__isl_take isl_pw_aff *pwaff,
+ __isl_take isl_id *id)
+{
+ isl_space *dim;
+
+ dim = isl_pw_aff_get_space(pwaff);
+ dim = isl_space_set_tuple_id(dim, isl_dim_set, id);
+
+ return isl_pw_aff_reset_space(pwaff, dim);
+}
+
+__isl_give isl_pw_aff *isl_pw_aff_from_aff(__isl_take isl_aff *aff)
+{
+ isl_set *dom = isl_set_universe(isl_aff_get_space(aff));
+ return isl_pw_aff_alloc(dom, aff);
+}
+
#undef PW
#define PW isl_pw_aff
#undef EL
#include <isl_pw_templ.c>
+static __isl_give isl_set *align_params_pw_pw_set_and(
+ __isl_take isl_pw_aff *pwaff1, __isl_take isl_pw_aff *pwaff2,
+ __isl_give isl_set *(*fn)(__isl_take isl_pw_aff *pwaff1,
+ __isl_take isl_pw_aff *pwaff2))
+{
+ if (!pwaff1 || !pwaff2)
+ goto error;
+ if (isl_space_match(pwaff1->dim, isl_dim_param,
+ pwaff2->dim, isl_dim_param))
+ return fn(pwaff1, pwaff2);
+ if (!isl_space_has_named_params(pwaff1->dim) ||
+ !isl_space_has_named_params(pwaff2->dim))
+ isl_die(isl_pw_aff_get_ctx(pwaff1), isl_error_invalid,
+ "unaligned unnamed parameters", goto error);
+ pwaff1 = isl_pw_aff_align_params(pwaff1, isl_pw_aff_get_space(pwaff2));
+ pwaff2 = isl_pw_aff_align_params(pwaff2, isl_pw_aff_get_space(pwaff1));
+ return fn(pwaff1, pwaff2);
+error:
+ isl_pw_aff_free(pwaff1);
+ isl_pw_aff_free(pwaff2);
+ return NULL;
+}
+
/* Compute a piecewise quasi-affine expression with a domain that
* is the union of those of pwaff1 and pwaff2 and such that on each
- * cell, the quasi-affine expression is the maximum of those of pwaff1
- * and pwaff2. If only one of pwaff1 or pwaff2 is defined on a given
- * cell, then the associated expression is the defined one.
+ * cell, the quasi-affine expression is the better (according to cmp)
+ * of those of pwaff1 and pwaff2. If only one of pwaff1 or pwaff2
+ * is defined on a given cell, then the associated expression
+ * is the defined one.
*/
-__isl_give isl_pw_aff *isl_pw_aff_max(__isl_take isl_pw_aff *pwaff1,
- __isl_take isl_pw_aff *pwaff2)
+static __isl_give isl_pw_aff *pw_aff_union_opt(__isl_take isl_pw_aff *pwaff1,
+ __isl_take isl_pw_aff *pwaff2,
+ __isl_give isl_basic_set *(*cmp)(__isl_take isl_aff *aff1,
+ __isl_take isl_aff *aff2))
{
int i, j, n;
isl_pw_aff *res;
if (!pwaff1 || !pwaff2)
goto error;
- ctx = isl_dim_get_ctx(pwaff1->dim);
- if (!isl_dim_equal(pwaff1->dim, pwaff2->dim))
+ ctx = isl_space_get_ctx(pwaff1->dim);
+ if (!isl_space_is_equal(pwaff1->dim, pwaff2->dim))
isl_die(ctx, isl_error_invalid,
"arguments should live in same space", goto error);
}
n = 2 * (pwaff1->n + 1) * (pwaff2->n + 1);
- res = isl_pw_aff_alloc_(isl_dim_copy(pwaff1->dim), n);
+ res = isl_pw_aff_alloc_size(isl_space_copy(pwaff1->dim), n);
for (i = 0; i < pwaff1->n; ++i) {
set = isl_set_copy(pwaff1->p[i].set);
for (j = 0; j < pwaff2->n; ++j) {
struct isl_set *common;
- isl_set *ge;
+ isl_set *better;
common = isl_set_intersect(
isl_set_copy(pwaff1->p[i].set),
isl_set_copy(pwaff2->p[j].set));
- ge = isl_set_from_basic_set(isl_aff_ge_basic_set(
+ better = isl_set_from_basic_set(cmp(
isl_aff_copy(pwaff2->p[j].aff),
isl_aff_copy(pwaff1->p[i].aff)));
- ge = isl_set_intersect(common, ge);
- if (isl_set_plain_is_empty(ge)) {
- isl_set_free(ge);
+ better = isl_set_intersect(common, better);
+ if (isl_set_plain_is_empty(better)) {
+ isl_set_free(better);
continue;
}
- set = isl_set_subtract(set, isl_set_copy(ge));
+ set = isl_set_subtract(set, isl_set_copy(better));
- res = isl_pw_aff_add_piece(res, ge,
+ res = isl_pw_aff_add_piece(res, better,
isl_aff_copy(pwaff2->p[j].aff));
}
res = isl_pw_aff_add_piece(res, set,
return NULL;
}
+/* Compute a piecewise quasi-affine expression with a domain that
+ * is the union of those of pwaff1 and pwaff2 and such that on each
+ * cell, the quasi-affine expression is the maximum of those of pwaff1
+ * and pwaff2. If only one of pwaff1 or pwaff2 is defined on a given
+ * cell, then the associated expression is the defined one.
+ */
+static __isl_give isl_pw_aff *pw_aff_union_max(__isl_take isl_pw_aff *pwaff1,
+ __isl_take isl_pw_aff *pwaff2)
+{
+ return pw_aff_union_opt(pwaff1, pwaff2, &isl_aff_ge_basic_set);
+}
+
+__isl_give isl_pw_aff *isl_pw_aff_union_max(__isl_take isl_pw_aff *pwaff1,
+ __isl_take isl_pw_aff *pwaff2)
+{
+ return align_params_pw_pw_and(pwaff1, pwaff2, &pw_aff_union_max);
+}
+
+/* Compute a piecewise quasi-affine expression with a domain that
+ * is the union of those of pwaff1 and pwaff2 and such that on each
+ * cell, the quasi-affine expression is the minimum of those of pwaff1
+ * and pwaff2. If only one of pwaff1 or pwaff2 is defined on a given
+ * cell, then the associated expression is the defined one.
+ */
+static __isl_give isl_pw_aff *pw_aff_union_min(__isl_take isl_pw_aff *pwaff1,
+ __isl_take isl_pw_aff *pwaff2)
+{
+ return pw_aff_union_opt(pwaff1, pwaff2, &isl_aff_le_basic_set);
+}
+
+__isl_give isl_pw_aff *isl_pw_aff_union_min(__isl_take isl_pw_aff *pwaff1,
+ __isl_take isl_pw_aff *pwaff2)
+{
+ return align_params_pw_pw_and(pwaff1, pwaff2, &pw_aff_union_min);
+}
+
+__isl_give isl_pw_aff *isl_pw_aff_union_opt(__isl_take isl_pw_aff *pwaff1,
+ __isl_take isl_pw_aff *pwaff2, int max)
+{
+ if (max)
+ return isl_pw_aff_union_max(pwaff1, pwaff2);
+ else
+ return isl_pw_aff_union_min(pwaff1, pwaff2);
+}
+
/* Construct a map with as domain the domain of pwaff and
* one-dimensional range corresponding to the affine expressions.
*/
__isl_give isl_map *isl_map_from_pw_aff(__isl_take isl_pw_aff *pwaff)
{
int i;
- isl_dim *dim;
+ isl_space *dim;
isl_map *map;
if (!pwaff)
return NULL;
- dim = isl_pw_aff_get_dim(pwaff);
- dim = isl_dim_from_domain(dim);
- dim = isl_dim_add(dim, isl_dim_out, 1);
+ dim = isl_pw_aff_get_space(pwaff);
+ dim = isl_space_from_domain(dim);
+ dim = isl_space_add_dims(dim, isl_dim_out, 1);
map = isl_map_empty(dim);
for (i = 0; i < pwaff->n; ++i) {
return map;
}
+/* Construct a one-dimensional set with as parameter domain
+ * the domain of pwaff and the single set dimension
+ * corresponding to the affine expressions.
+ */
+__isl_give isl_set *isl_set_from_pw_aff(__isl_take isl_pw_aff *pwaff)
+{
+ return isl_map_from_pw_aff(pwaff);
+}
+
/* Return a set containing those elements in the domain
* of pwaff where it is non-negative.
*/
if (!pwaff)
return NULL;
- set = isl_set_empty(isl_pw_aff_get_dim(pwaff));
+ set = isl_set_empty(isl_pw_aff_get_space(pwaff));
for (i = 0; i < pwaff->n; ++i) {
isl_basic_set *bset;
return set;
}
+/* Return a set containing those elements in the domain
+ * of pwaff where it is zero.
+ */
+__isl_give isl_set *isl_pw_aff_zero_set(__isl_take isl_pw_aff *pwaff)
+{
+ int i;
+ isl_set *set;
+
+ if (!pwaff)
+ return NULL;
+
+ set = isl_set_empty(isl_pw_aff_get_space(pwaff));
+
+ for (i = 0; i < pwaff->n; ++i) {
+ isl_basic_set *bset;
+ isl_set *set_i;
+
+ bset = isl_aff_zero_basic_set(isl_aff_copy(pwaff->p[i].aff));
+ set_i = isl_set_from_basic_set(bset);
+ set_i = isl_set_intersect(set_i, isl_set_copy(pwaff->p[i].set));
+ set = isl_set_union_disjoint(set, set_i);
+ }
+
+ isl_pw_aff_free(pwaff);
+
+ return set;
+}
+
+/* Return a set containing those elements in the domain
+ * of pwaff where it is not zero.
+ */
+__isl_give isl_set *isl_pw_aff_non_zero_set(__isl_take isl_pw_aff *pwaff)
+{
+ return isl_set_complement(isl_pw_aff_zero_set(pwaff));
+}
+
/* Return a set containing those elements in the shared domain
* of pwaff1 and pwaff2 where pwaff1 is greater than (or equal) to pwaff2.
*
* We compute the difference on the shared domain and then construct
* the set of values where this difference is non-negative.
* If strict is set, we first subtract 1 from the difference.
+ * If equal is set, we only return the elements where pwaff1 and pwaff2
+ * are equal.
*/
static __isl_give isl_set *pw_aff_gte_set(__isl_take isl_pw_aff *pwaff1,
- __isl_take isl_pw_aff *pwaff2, int strict)
+ __isl_take isl_pw_aff *pwaff2, int strict, int equal)
{
isl_set *set1, *set2;
pwaff1 = isl_pw_aff_add(pwaff1, isl_pw_aff_neg(pwaff2));
if (strict) {
- isl_dim *dim = isl_set_get_dim(set1);
+ isl_space *dim = isl_set_get_space(set1);
isl_aff *aff;
- aff = isl_aff_zero(isl_local_space_from_dim(dim));
+ aff = isl_aff_zero(isl_local_space_from_space(dim));
aff = isl_aff_add_constant_si(aff, -1);
pwaff1 = isl_pw_aff_add(pwaff1, isl_pw_aff_alloc(set1, aff));
} else
isl_set_free(set1);
+ if (equal)
+ return isl_pw_aff_zero_set(pwaff1);
return isl_pw_aff_nonneg_set(pwaff1);
}
/* Return a set containing those elements in the shared domain
+ * of pwaff1 and pwaff2 where pwaff1 is equal to pwaff2.
+ */
+static __isl_give isl_set *pw_aff_eq_set(__isl_take isl_pw_aff *pwaff1,
+ __isl_take isl_pw_aff *pwaff2)
+{
+ return pw_aff_gte_set(pwaff1, pwaff2, 0, 1);
+}
+
+__isl_give isl_set *isl_pw_aff_eq_set(__isl_take isl_pw_aff *pwaff1,
+ __isl_take isl_pw_aff *pwaff2)
+{
+ return align_params_pw_pw_set_and(pwaff1, pwaff2, &pw_aff_eq_set);
+}
+
+/* Return a set containing those elements in the shared domain
* of pwaff1 and pwaff2 where pwaff1 is greater than or equal to pwaff2.
*/
+static __isl_give isl_set *pw_aff_ge_set(__isl_take isl_pw_aff *pwaff1,
+ __isl_take isl_pw_aff *pwaff2)
+{
+ return pw_aff_gte_set(pwaff1, pwaff2, 0, 0);
+}
+
__isl_give isl_set *isl_pw_aff_ge_set(__isl_take isl_pw_aff *pwaff1,
__isl_take isl_pw_aff *pwaff2)
{
- return pw_aff_gte_set(pwaff1, pwaff2, 0);
+ return align_params_pw_pw_set_and(pwaff1, pwaff2, &pw_aff_ge_set);
}
/* Return a set containing those elements in the shared domain
* of pwaff1 and pwaff2 where pwaff1 is strictly greater than pwaff2.
*/
+static __isl_give isl_set *pw_aff_gt_set(__isl_take isl_pw_aff *pwaff1,
+ __isl_take isl_pw_aff *pwaff2)
+{
+ return pw_aff_gte_set(pwaff1, pwaff2, 1, 0);
+}
+
__isl_give isl_set *isl_pw_aff_gt_set(__isl_take isl_pw_aff *pwaff1,
__isl_take isl_pw_aff *pwaff2)
{
- return pw_aff_gte_set(pwaff1, pwaff2, 1);
+ return align_params_pw_pw_set_and(pwaff1, pwaff2, &pw_aff_gt_set);
+}
+
+__isl_give isl_set *isl_pw_aff_le_set(__isl_take isl_pw_aff *pwaff1,
+ __isl_take isl_pw_aff *pwaff2)
+{
+ return isl_pw_aff_ge_set(pwaff2, pwaff1);
}
__isl_give isl_set *isl_pw_aff_lt_set(__isl_take isl_pw_aff *pwaff1,
return isl_pw_aff_gt_set(pwaff2, pwaff1);
}
+/* Return a set containing those elements in the shared domain
+ * of the elements of list1 and list2 where each element in list1
+ * has the relation specified by "fn" with each element in list2.
+ */
+static __isl_give isl_set *pw_aff_list_set(__isl_take isl_pw_aff_list *list1,
+ __isl_take isl_pw_aff_list *list2,
+ __isl_give isl_set *(*fn)(__isl_take isl_pw_aff *pwaff1,
+ __isl_take isl_pw_aff *pwaff2))
+{
+ int i, j;
+ isl_ctx *ctx;
+ isl_set *set;
+
+ if (!list1 || !list2)
+ goto error;
+
+ ctx = isl_pw_aff_list_get_ctx(list1);
+ if (list1->n < 1 || list2->n < 1)
+ isl_die(ctx, isl_error_invalid,
+ "list should contain at least one element", goto error);
+
+ set = isl_set_universe(isl_pw_aff_get_space(list1->p[0]));
+ for (i = 0; i < list1->n; ++i)
+ for (j = 0; j < list2->n; ++j) {
+ isl_set *set_ij;
+
+ set_ij = fn(isl_pw_aff_copy(list1->p[i]),
+ isl_pw_aff_copy(list2->p[j]));
+ set = isl_set_intersect(set, set_ij);
+ }
+
+ isl_pw_aff_list_free(list1);
+ isl_pw_aff_list_free(list2);
+ return set;
+error:
+ isl_pw_aff_list_free(list1);
+ isl_pw_aff_list_free(list2);
+ return NULL;
+}
+
+/* Return a set containing those elements in the shared domain
+ * of the elements of list1 and list2 where each element in list1
+ * is equal to each element in list2.
+ */
+__isl_give isl_set *isl_pw_aff_list_eq_set(__isl_take isl_pw_aff_list *list1,
+ __isl_take isl_pw_aff_list *list2)
+{
+ return pw_aff_list_set(list1, list2, &isl_pw_aff_eq_set);
+}
+
+__isl_give isl_set *isl_pw_aff_list_ne_set(__isl_take isl_pw_aff_list *list1,
+ __isl_take isl_pw_aff_list *list2)
+{
+ return pw_aff_list_set(list1, list2, &isl_pw_aff_ne_set);
+}
+
+/* Return a set containing those elements in the shared domain
+ * of the elements of list1 and list2 where each element in list1
+ * is less than or equal to each element in list2.
+ */
+__isl_give isl_set *isl_pw_aff_list_le_set(__isl_take isl_pw_aff_list *list1,
+ __isl_take isl_pw_aff_list *list2)
+{
+ return pw_aff_list_set(list1, list2, &isl_pw_aff_le_set);
+}
+
+__isl_give isl_set *isl_pw_aff_list_lt_set(__isl_take isl_pw_aff_list *list1,
+ __isl_take isl_pw_aff_list *list2)
+{
+ return pw_aff_list_set(list1, list2, &isl_pw_aff_lt_set);
+}
+
+__isl_give isl_set *isl_pw_aff_list_ge_set(__isl_take isl_pw_aff_list *list1,
+ __isl_take isl_pw_aff_list *list2)
+{
+ return pw_aff_list_set(list1, list2, &isl_pw_aff_ge_set);
+}
+
+__isl_give isl_set *isl_pw_aff_list_gt_set(__isl_take isl_pw_aff_list *list1,
+ __isl_take isl_pw_aff_list *list2)
+{
+ return pw_aff_list_set(list1, list2, &isl_pw_aff_gt_set);
+}
+
+
+/* Return a set containing those elements in the shared domain
+ * of pwaff1 and pwaff2 where pwaff1 is not equal to pwaff2.
+ */
+static __isl_give isl_set *pw_aff_ne_set(__isl_take isl_pw_aff *pwaff1,
+ __isl_take isl_pw_aff *pwaff2)
+{
+ isl_set *set_lt, *set_gt;
+
+ set_lt = isl_pw_aff_lt_set(isl_pw_aff_copy(pwaff1),
+ isl_pw_aff_copy(pwaff2));
+ set_gt = isl_pw_aff_gt_set(pwaff1, pwaff2);
+ return isl_set_union_disjoint(set_lt, set_gt);
+}
+
+__isl_give isl_set *isl_pw_aff_ne_set(__isl_take isl_pw_aff *pwaff1,
+ __isl_take isl_pw_aff *pwaff2)
+{
+ return align_params_pw_pw_set_and(pwaff1, pwaff2, &pw_aff_ne_set);
+}
+
__isl_give isl_pw_aff *isl_pw_aff_scale_down(__isl_take isl_pw_aff *pwaff,
isl_int v)
{
return isl_pw_aff_add_disjoint(pwaff_true, pwaff_false);
}
+
+int isl_aff_is_cst(__isl_keep isl_aff *aff)
+{
+ if (!aff)
+ return -1;
+
+ return isl_seq_first_non_zero(aff->v->el + 2, aff->v->size - 2) == -1;
+}
+
+/* Check whether pwaff is a piecewise constant.
+ */
+int isl_pw_aff_is_cst(__isl_keep isl_pw_aff *pwaff)
+{
+ int i;
+
+ if (!pwaff)
+ return -1;
+
+ for (i = 0; i < pwaff->n; ++i) {
+ int is_cst = isl_aff_is_cst(pwaff->p[i].aff);
+ if (is_cst < 0 || !is_cst)
+ return is_cst;
+ }
+
+ return 1;
+}
+
+__isl_give isl_aff *isl_aff_mul(__isl_take isl_aff *aff1,
+ __isl_take isl_aff *aff2)
+{
+ if (!isl_aff_is_cst(aff2) && isl_aff_is_cst(aff1))
+ return isl_aff_mul(aff2, aff1);
+
+ if (!isl_aff_is_cst(aff2))
+ isl_die(isl_aff_get_ctx(aff1), isl_error_invalid,
+ "at least one affine expression should be constant",
+ goto error);
+
+ aff1 = isl_aff_cow(aff1);
+ if (!aff1 || !aff2)
+ goto error;
+
+ aff1 = isl_aff_scale(aff1, aff2->v->el[1]);
+ aff1 = isl_aff_scale_down(aff1, aff2->v->el[0]);
+
+ isl_aff_free(aff2);
+ return aff1;
+error:
+ isl_aff_free(aff1);
+ isl_aff_free(aff2);
+ return NULL;
+}
+
+static __isl_give isl_pw_aff *pw_aff_mul(__isl_take isl_pw_aff *pwaff1,
+ __isl_take isl_pw_aff *pwaff2)
+{
+ int i, j, n;
+ isl_pw_aff *res;
+
+ if (!pwaff1 || !pwaff2)
+ goto error;
+
+ n = pwaff1->n * pwaff2->n;
+ res = isl_pw_aff_alloc_size(isl_space_copy(pwaff1->dim), n);
+
+ for (i = 0; i < pwaff1->n; ++i) {
+ for (j = 0; j < pwaff2->n; ++j) {
+ isl_set *common;
+ isl_aff *prod;
+ common = isl_set_intersect(
+ isl_set_copy(pwaff1->p[i].set),
+ isl_set_copy(pwaff2->p[j].set));
+ if (isl_set_plain_is_empty(common)) {
+ isl_set_free(common);
+ continue;
+ }
+
+ prod = isl_aff_mul(isl_aff_copy(pwaff1->p[i].aff),
+ isl_aff_copy(pwaff2->p[j].aff));
+
+ res = isl_pw_aff_add_piece(res, common, prod);
+ }
+ }
+
+ isl_pw_aff_free(pwaff1);
+ isl_pw_aff_free(pwaff2);
+ return res;
+error:
+ isl_pw_aff_free(pwaff1);
+ isl_pw_aff_free(pwaff2);
+ return NULL;
+}
+
+__isl_give isl_pw_aff *isl_pw_aff_mul(__isl_take isl_pw_aff *pwaff1,
+ __isl_take isl_pw_aff *pwaff2)
+{
+ return align_params_pw_pw_and(pwaff1, pwaff2, &pw_aff_mul);
+}
+
+static __isl_give isl_pw_aff *pw_aff_min(__isl_take isl_pw_aff *pwaff1,
+ __isl_take isl_pw_aff *pwaff2)
+{
+ isl_set *le;
+
+ le = isl_pw_aff_le_set(isl_pw_aff_copy(pwaff1),
+ isl_pw_aff_copy(pwaff2));
+ return isl_pw_aff_cond(le, pwaff1, pwaff2);
+}
+
+__isl_give isl_pw_aff *isl_pw_aff_min(__isl_take isl_pw_aff *pwaff1,
+ __isl_take isl_pw_aff *pwaff2)
+{
+ return align_params_pw_pw_and(pwaff1, pwaff2, &pw_aff_min);
+}
+
+static __isl_give isl_pw_aff *pw_aff_max(__isl_take isl_pw_aff *pwaff1,
+ __isl_take isl_pw_aff *pwaff2)
+{
+ isl_set *le;
+
+ le = isl_pw_aff_ge_set(isl_pw_aff_copy(pwaff1),
+ isl_pw_aff_copy(pwaff2));
+ return isl_pw_aff_cond(le, pwaff1, pwaff2);
+}
+
+__isl_give isl_pw_aff *isl_pw_aff_max(__isl_take isl_pw_aff *pwaff1,
+ __isl_take isl_pw_aff *pwaff2)
+{
+ return align_params_pw_pw_and(pwaff1, pwaff2, &pw_aff_max);
+}
+
+static __isl_give isl_pw_aff *pw_aff_list_reduce(
+ __isl_take isl_pw_aff_list *list,
+ __isl_give isl_pw_aff *(*fn)(__isl_take isl_pw_aff *pwaff1,
+ __isl_take isl_pw_aff *pwaff2))
+{
+ int i;
+ isl_ctx *ctx;
+ isl_pw_aff *res;
+
+ if (!list)
+ return NULL;
+
+ ctx = isl_pw_aff_list_get_ctx(list);
+ if (list->n < 1)
+ isl_die(ctx, isl_error_invalid,
+ "list should contain at least one element",
+ return isl_pw_aff_list_free(list));
+
+ res = isl_pw_aff_copy(list->p[0]);
+ for (i = 1; i < list->n; ++i)
+ res = fn(res, isl_pw_aff_copy(list->p[i]));
+
+ isl_pw_aff_list_free(list);
+ return res;
+}
+
+/* Return an isl_pw_aff that maps each element in the intersection of the
+ * domains of the elements of list to the minimal corresponding affine
+ * expression.
+ */
+__isl_give isl_pw_aff *isl_pw_aff_list_min(__isl_take isl_pw_aff_list *list)
+{
+ return pw_aff_list_reduce(list, &isl_pw_aff_min);
+}
+
+/* Return an isl_pw_aff that maps each element in the intersection of the
+ * domains of the elements of list to the maximal corresponding affine
+ * expression.
+ */
+__isl_give isl_pw_aff *isl_pw_aff_list_max(__isl_take isl_pw_aff_list *list)
+{
+ return pw_aff_list_reduce(list, &isl_pw_aff_max);
+}
projects / platform / upstream / isl.git / blobdiff