/*
* 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_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>
/* 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.
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_reset_dim(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_dim(aff));
+ return isl_pw_aff_alloc(dom, aff);
+}
+
#undef PW
#define PW isl_pw_aff
#undef EL
/* 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.
*/
-static __isl_give isl_pw_aff *pw_aff_union_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;
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.
*/
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.
*
}
/* 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_dim(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,
{
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);
+}
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