if (!isl_local_space_divs_known(ls))
isl_die(ctx, isl_error_invalid, "local space has unknown divs",
goto error);
+ if (!isl_local_space_is_set(ls))
+ isl_die(ctx, isl_error_invalid,
+ "domain of affine expression should be a set",
+ goto error);
total = isl_local_space_dim(ls, isl_dim_all);
v = isl_vec_alloc(ctx, 1 + 1 + total);
return NULL;
}
-__isl_give isl_aff *isl_aff_zero(__isl_take isl_local_space *ls)
+__isl_give isl_aff *isl_aff_zero_on_domain(__isl_take isl_local_space *ls)
{
isl_aff *aff;
return aff ? isl_local_space_get_ctx(aff->ls) : NULL;
}
+/* Externally, an isl_aff has a map space, but internally, the
+ * ls field corresponds to the domain of that space.
+ */
int isl_aff_dim(__isl_keep isl_aff *aff, enum isl_dim_type type)
{
- return aff ? isl_local_space_dim(aff->ls, type) : 0;
+ if (!aff)
+ return 0;
+ if (type == isl_dim_out)
+ return 1;
+ if (type == isl_dim_in)
+ type = isl_dim_set;
+ return isl_local_space_dim(aff->ls, type);
}
-__isl_give isl_space *isl_aff_get_space(__isl_keep isl_aff *aff)
+__isl_give isl_space *isl_aff_get_domain_space(__isl_keep isl_aff *aff)
{
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)
+__isl_give isl_space *isl_aff_get_space(__isl_keep isl_aff *aff)
+{
+ isl_space *space;
+ if (!aff)
+ return NULL;
+ space = isl_local_space_get_space(aff->ls);
+ space = isl_space_from_domain(space);
+ space = isl_space_add_dims(space, isl_dim_out, 1);
+ return space;
+}
+
+__isl_give isl_local_space *isl_aff_get_domain_local_space(
+ __isl_keep isl_aff *aff)
{
return aff ? isl_local_space_copy(aff->ls) : NULL;
}
+__isl_give isl_local_space *isl_aff_get_local_space(__isl_keep isl_aff *aff)
+{
+ isl_local_space *ls;
+ if (!aff)
+ return NULL;
+ ls = isl_local_space_copy(aff->ls);
+ ls = isl_local_space_from_domain(ls);
+ ls = isl_local_space_add_dims(ls, isl_dim_out, 1);
+ return ls;
+}
+
+/* Externally, an isl_aff has a map space, but internally, the
+ * ls field corresponds to the domain of that space.
+ */
const char *isl_aff_get_dim_name(__isl_keep isl_aff *aff,
enum isl_dim_type type, unsigned pos)
{
- return aff ? isl_local_space_get_dim_name(aff->ls, type, pos) : 0;
+ if (!aff)
+ return NULL;
+ if (type == isl_dim_out)
+ return NULL;
+ if (type == isl_dim_in)
+ type = isl_dim_set;
+ return isl_local_space_get_dim_name(aff->ls, type, pos);
}
-__isl_give isl_aff *isl_aff_reset_space(__isl_take isl_aff *aff,
+__isl_give isl_aff *isl_aff_reset_domain_space(__isl_take isl_aff *aff,
__isl_take isl_space *dim)
{
aff = isl_aff_cow(aff);
return NULL;
}
+/* Reset the space of "aff". This function is called from isl_pw_templ.c
+ * and doesn't know if the space of an element object is represented
+ * directly or through its domain. It therefore passes along both.
+ */
+__isl_give isl_aff *isl_aff_reset_space_and_domain(__isl_take isl_aff *aff,
+ __isl_take isl_space *space, __isl_take isl_space *domain)
+{
+ isl_space_free(space);
+ return isl_aff_reset_domain_space(aff, domain);
+}
+
/* Reorder the coefficients of the affine expression based
* on the given reodering.
* The reordering r is assumed to have been extended with the local
return NULL;
}
-/* Reorder the dimensions of "aff" according to the given reordering.
+/* Reorder the dimensions of the domain of "aff" according
+ * to the given reordering.
*/
-__isl_give isl_aff *isl_aff_realign(__isl_take isl_aff *aff,
+__isl_give isl_aff *isl_aff_realign_domain(__isl_take isl_aff *aff,
__isl_take isl_reordering *r)
{
aff = isl_aff_cow(aff);
if (!aff)
return -1;
+ if (type == isl_dim_out)
+ isl_die(aff->v->ctx, isl_error_invalid,
+ "output/set dimension does not have a coefficient",
+ return -1);
+ if (type == isl_dim_in)
+ type = isl_dim_set;
+
if (pos >= isl_local_space_dim(aff->ls, type))
isl_die(aff->v->ctx, isl_error_invalid,
"position out of bounds", return -1);
if (!aff)
return NULL;
+ if (type == isl_dim_out)
+ isl_die(aff->v->ctx, isl_error_invalid,
+ "output/set dimension does not have a coefficient",
+ return isl_aff_free(aff));
+ if (type == isl_dim_in)
+ type = isl_dim_set;
+
if (pos >= isl_local_space_dim(aff->ls, type))
isl_die(aff->v->ctx, isl_error_invalid,
"position out of bounds", return isl_aff_free(aff));
if (!aff)
return NULL;
+ if (type == isl_dim_out)
+ isl_die(aff->v->ctx, isl_error_invalid,
+ "output/set dimension does not have a coefficient",
+ return isl_aff_free(aff));
+ if (type == isl_dim_in)
+ type = isl_dim_set;
+
if (pos >= isl_local_space_dim(aff->ls, type))
isl_die(aff->v->ctx, isl_error_invalid,
"position out of bounds", return isl_aff_free(aff));
if (!aff)
return NULL;
+ if (type == isl_dim_out)
+ isl_die(aff->v->ctx, isl_error_invalid,
+ "output/set dimension does not have a coefficient",
+ return isl_aff_free(aff));
+ if (type == isl_dim_in)
+ type = isl_dim_set;
+
if (pos >= isl_local_space_dim(aff->ls, type))
isl_die(aff->v->ctx, isl_error_invalid,
"position out of bounds", return isl_aff_free(aff));
return aff;
}
-__isl_give isl_div *isl_aff_get_div(__isl_keep isl_aff *aff, int pos)
+__isl_give isl_aff *isl_aff_get_div(__isl_keep isl_aff *aff, int pos)
{
if (!aff)
return NULL;
aff = isl_aff_cow(aff);
if (!aff)
return NULL;
+ if (type == isl_dim_out)
+ isl_die(aff->v->ctx, isl_error_invalid,
+ "cannot set name of output/set dimension",
+ return isl_aff_free(aff));
+ if (type == isl_dim_in)
+ type = isl_dim_set;
aff->ls = isl_local_space_set_dim_name(aff->ls, type, pos, s);
if (!aff->ls)
return isl_aff_free(aff);
return aff;
}
+__isl_give isl_aff *isl_aff_set_dim_id(__isl_take isl_aff *aff,
+ enum isl_dim_type type, unsigned pos, __isl_take isl_id *id)
+{
+ aff = isl_aff_cow(aff);
+ if (!aff)
+ return isl_id_free(id);
+ if (type == isl_dim_out)
+ isl_die(aff->v->ctx, isl_error_invalid,
+ "cannot set name of output/set dimension",
+ goto error);
+ if (type == isl_dim_in)
+ type = isl_dim_set;
+ aff->ls = isl_local_space_set_dim_id(aff->ls, type, pos, id);
+ if (!aff->ls)
+ return isl_aff_free(aff);
+
+ return aff;
+error:
+ isl_id_free(id);
+ isl_aff_free(aff);
+ return NULL;
+}
+
/* Exploit the equalities in "eq" to simplify the affine expression
* and the expressions of the integer divisions in the local space.
* The integer divisions in this local space are assumed to appear
n_div = isl_local_space_dim(aff->ls, isl_dim_div);
if (n_div > 0) {
isl_basic_set *bset;
+ isl_local_space *ls;
context = isl_set_add_dims(context, isl_dim_set, n_div);
- bset = isl_basic_set_from_local_space(
- isl_aff_get_local_space(aff));
+ ls = isl_aff_get_domain_local_space(aff);
+ bset = isl_basic_set_from_local_space(ls);
bset = isl_basic_set_lift(bset);
bset = isl_basic_set_flatten(bset);
context = isl_set_intersect(context,
return 0;
}
-/* Set active[i] to 1 if the dimension at position i is involved
- * in the affine expression.
- */
-static int set_active(__isl_keep isl_aff *aff, int *active)
-{
- int i, j;
- unsigned total;
- unsigned offset;
-
- if (!aff || !active)
- return -1;
-
- total = aff->v->size - 2;
- for (i = 0; i < total; ++i)
- active[i] = !isl_int_is_zero(aff->v->el[2 + i]);
-
- offset = isl_local_space_offset(aff->ls, isl_dim_div) - 1;
- for (i = aff->ls->div->n_row - 1; i >= 0; --i) {
- if (!active[offset + i])
- continue;
- for (j = 0; j < total; ++j)
- active[j] |=
- !isl_int_is_zero(aff->ls->div->row[i][2 + j]);
- }
-
- return 0;
-}
-
/* Check whether the given affine expression has non-zero coefficient
* for any dimension in the given range or if any of these dimensions
* appear with non-zero coefficients in any of the integer divisions
isl_die(ctx, isl_error_invalid,
"range out of bounds", return -1);
- active = isl_calloc_array(ctx, int,
- isl_local_space_dim(aff->ls, isl_dim_all));
- if (set_active(aff, active) < 0)
+ active = isl_local_space_get_active(aff->ls, aff->v->el + 2);
+ if (!active)
goto error;
first += isl_local_space_offset(aff->ls, type) - 1;
if (!aff)
return NULL;
+ if (type == isl_dim_out)
+ isl_die(aff->v->ctx, isl_error_invalid,
+ "cannot drop output/set dimension",
+ return isl_aff_free(aff));
+ if (type == isl_dim_in)
+ type = isl_dim_set;
if (n == 0 && !isl_local_space_is_named_or_nested(aff->ls, type))
return aff;
ctx = isl_aff_get_ctx(aff);
- if (first + n > isl_aff_dim(aff, type))
+ if (first + n > isl_local_space_dim(aff->ls, type))
isl_die(ctx, isl_error_invalid, "range out of bounds",
return isl_aff_free(aff));
if (!aff)
return NULL;
+ if (type == isl_dim_out)
+ isl_die(aff->v->ctx, isl_error_invalid,
+ "cannot insert output/set dimensions",
+ return isl_aff_free(aff));
+ if (type == isl_dim_in)
+ type = isl_dim_set;
if (n == 0 && !isl_local_space_is_named_or_nested(aff->ls, type))
return aff;
ctx = isl_aff_get_ctx(aff);
- if (first > isl_aff_dim(aff, type))
+ if (first > isl_local_space_dim(aff->ls, type))
isl_die(ctx, isl_error_invalid, "position out of bounds",
return isl_aff_free(aff));
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));
+ isl_set *dom = isl_set_universe(isl_aff_get_domain_space(aff));
return isl_pw_aff_alloc(dom, aff);
}
__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);
+ return isl_pw_aff_align_params_pw_pw_and(pwaff1, pwaff2,
+ &pw_aff_union_max);
}
/* Compute a piecewise quasi-affine expression with a domain that
__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);
+ return isl_pw_aff_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,
/* 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)
+static __isl_give isl_map *map_from_pw_aff(__isl_take isl_pw_aff *pwaff)
{
int i;
isl_space *dim;
return NULL;
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 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)
+{
+ if (isl_space_is_set(pwaff->dim))
+ isl_die(isl_pw_aff_get_ctx(pwaff), isl_error_invalid,
+ "space of input is not a map",
+ return isl_pw_aff_free(pwaff));
+ return map_from_pw_aff(pwaff);
+}
+
/* 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);
+ if (!isl_space_is_set(pwaff->dim))
+ isl_die(isl_pw_aff_get_ctx(pwaff), isl_error_invalid,
+ "space of input is not a set",
+ return isl_pw_aff_free(pwaff));
+ return map_from_pw_aff(pwaff);
}
/* Return a set containing those elements in the domain
if (!pwaff)
return NULL;
- set = isl_set_empty(isl_pw_aff_get_space(pwaff));
+ set = isl_set_empty(isl_pw_aff_get_domain_space(pwaff));
for (i = 0; i < pwaff->n; ++i) {
isl_basic_set *bset;
if (!pwaff)
return NULL;
- set = isl_set_empty(isl_pw_aff_get_space(pwaff));
+ set = isl_set_empty(isl_pw_aff_get_domain_space(pwaff));
for (i = 0; i < pwaff->n; ++i) {
isl_basic_set *bset;
if (strict) {
isl_space *dim = isl_set_get_space(set1);
isl_aff *aff;
- aff = isl_aff_zero(isl_local_space_from_space(dim));
+ aff = isl_aff_zero_on_domain(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_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]));
+ set = isl_set_universe(isl_pw_aff_get_domain_space(list1->p[0]));
for (i = 0; i < list1->n; ++i)
for (j = 0; j < list2->n; ++j) {
isl_set *set_ij;
__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);
+ return isl_pw_aff_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_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);
+ return isl_pw_aff_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_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);
+ return isl_pw_aff_align_params_pw_pw_and(pwaff1, pwaff2, &pw_aff_max);
}
static __isl_give isl_pw_aff *pw_aff_list_reduce(
{
return pw_aff_list_reduce(list, &isl_pw_aff_max);
}
+
+#undef BASE
+#define BASE aff
+
+#include <isl_multi_templ.c>
+
+__isl_give isl_multi_aff *isl_multi_aff_add(__isl_take isl_multi_aff *maff1,
+ __isl_take isl_multi_aff *maff2)
+{
+ int i;
+ isl_ctx *ctx;
+
+ maff1 = isl_multi_aff_cow(maff1);
+ if (!maff1 || !maff2)
+ goto error;
+
+ ctx = isl_multi_aff_get_ctx(maff1);
+ if (!isl_space_is_equal(maff1->space, maff2->space))
+ isl_die(ctx, isl_error_invalid,
+ "spaces don't match", goto error);
+
+ for (i = 0; i < maff1->n; ++i) {
+ maff1->p[i] = isl_aff_add(maff1->p[i],
+ isl_aff_copy(maff2->p[i]));
+ if (!maff1->p[i])
+ goto error;
+ }
+
+ isl_multi_aff_free(maff2);
+ return maff1;
+error:
+ isl_multi_aff_free(maff1);
+ isl_multi_aff_free(maff2);
+ return NULL;
+}
+
+/* Exploit the equalities in "eq" to simplify the affine expressions.
+ */
+static __isl_give isl_multi_aff *isl_multi_aff_substitute_equalities(
+ __isl_take isl_multi_aff *maff, __isl_take isl_basic_set *eq)
+{
+ int i;
+
+ maff = isl_multi_aff_cow(maff);
+ if (!maff || !eq)
+ goto error;
+
+ for (i = 0; i < maff->n; ++i) {
+ maff->p[i] = isl_aff_substitute_equalities(maff->p[i],
+ isl_basic_set_copy(eq));
+ if (!maff->p[i])
+ goto error;
+ }
+
+ isl_basic_set_free(eq);
+ return maff;
+error:
+ isl_basic_set_free(eq);
+ isl_multi_aff_free(maff);
+ return NULL;
+}
+
+__isl_give isl_multi_aff *isl_multi_aff_scale(__isl_take isl_multi_aff *maff,
+ isl_int f)
+{
+ int i;
+
+ maff = isl_multi_aff_cow(maff);
+ if (!maff)
+ return NULL;
+
+ for (i = 0; i < maff->n; ++i) {
+ maff->p[i] = isl_aff_scale(maff->p[i], f);
+ if (!maff->p[i])
+ return isl_multi_aff_free(maff);
+ }
+
+ return maff;
+}
+
+__isl_give isl_multi_aff *isl_multi_aff_add_on_domain(__isl_keep isl_set *dom,
+ __isl_take isl_multi_aff *maff1, __isl_take isl_multi_aff *maff2)
+{
+ maff1 = isl_multi_aff_add(maff1, maff2);
+ maff1 = isl_multi_aff_gist(maff1, isl_set_copy(dom));
+ return maff1;
+}
+
+int isl_multi_aff_is_empty(__isl_keep isl_multi_aff *maff)
+{
+ if (!maff)
+ return -1;
+
+ return 0;
+}
+
+int isl_multi_aff_plain_is_equal(__isl_keep isl_multi_aff *maff1,
+ __isl_keep isl_multi_aff *maff2)
+{
+ int i;
+ int equal;
+
+ if (!maff1 || !maff2)
+ return -1;
+ if (maff1->n != maff2->n)
+ return 0;
+ equal = isl_space_is_equal(maff1->space, maff2->space);
+ if (equal < 0 || !equal)
+ return equal;
+
+ for (i = 0; i < maff1->n; ++i) {
+ equal = isl_aff_plain_is_equal(maff1->p[i], maff2->p[i]);
+ if (equal < 0 || !equal)
+ return equal;
+ }
+
+ return 1;
+}
+
+__isl_give isl_multi_aff *isl_multi_aff_set_dim_name(
+ __isl_take isl_multi_aff *maff,
+ enum isl_dim_type type, unsigned pos, const char *s)
+{
+ int i;
+
+ maff = isl_multi_aff_cow(maff);
+ if (!maff)
+ return NULL;
+
+ maff->space = isl_space_set_dim_name(maff->space, type, pos, s);
+ if (!maff->space)
+ return isl_multi_aff_free(maff);
+ for (i = 0; i < maff->n; ++i) {
+ maff->p[i] = isl_aff_set_dim_name(maff->p[i], type, pos, s);
+ if (!maff->p[i])
+ return isl_multi_aff_free(maff);
+ }
+
+ return maff;
+}
+
+__isl_give isl_multi_aff *isl_multi_aff_drop_dims(__isl_take isl_multi_aff *maff,
+ enum isl_dim_type type, unsigned first, unsigned n)
+{
+ int i;
+
+ maff = isl_multi_aff_cow(maff);
+ if (!maff)
+ return NULL;
+
+ maff->space = isl_space_drop_dims(maff->space, type, first, n);
+ if (!maff->space)
+ return isl_multi_aff_free(maff);
+ for (i = 0; i < maff->n; ++i) {
+ maff->p[i] = isl_aff_drop_dims(maff->p[i], type, first, n);
+ if (!maff->p[i])
+ return isl_multi_aff_free(maff);
+ }
+
+ return maff;
+}
+
+#undef PW
+#define PW isl_pw_multi_aff
+#undef EL
+#define EL isl_multi_aff
+#undef EL_IS_ZERO
+#define EL_IS_ZERO is_empty
+#undef ZERO
+#define ZERO empty
+#undef IS_ZERO
+#define IS_ZERO is_empty
+#undef FIELD
+#define FIELD maff
+
+#define NO_NEG
+#define NO_EVAL
+#define NO_OPT
+#define NO_INVOLVES_DIMS
+#define NO_MOVE_DIMS
+#define NO_INSERT_DIMS
+#define NO_LIFT
+#define NO_MORPH
+
+#include <isl_pw_templ.c>
+
+/* Construct a map mapping the domain the piecewise multi-affine expression
+ * to its range, with each dimension in the range equated to the
+ * corresponding affine expression on its cell.
+ */
+__isl_give isl_map *isl_map_from_pw_multi_aff(__isl_take isl_pw_multi_aff *pma)
+{
+ int i;
+ isl_map *map;
+
+ if (!pma)
+ return NULL;
+
+ map = isl_map_empty(isl_pw_multi_aff_get_space(pma));
+
+ for (i = 0; i < pma->n; ++i) {
+ isl_multi_aff *maff;
+ isl_basic_map *bmap;
+ isl_map *map_i;
+
+ maff = isl_multi_aff_copy(pma->p[i].maff);
+ bmap = isl_basic_map_from_multi_aff(maff);
+ map_i = isl_map_from_basic_map(bmap);
+ map_i = isl_map_intersect_domain(map_i,
+ isl_set_copy(pma->p[i].set));
+ map = isl_map_union_disjoint(map, map_i);
+ }
+
+ isl_pw_multi_aff_free(pma);
+ return map;
+}
+
+__isl_give isl_set *isl_set_from_pw_multi_aff(__isl_take isl_pw_multi_aff *pma)
+{
+ if (!isl_space_is_set(pma->dim))
+ isl_die(isl_pw_multi_aff_get_ctx(pma), isl_error_invalid,
+ "isl_pw_multi_aff cannot be converted into an isl_set",
+ return isl_pw_multi_aff_free(pma));
+
+ return isl_map_from_pw_multi_aff(pma);
+}
+
+/* Try and create an isl_pw_multi_aff that is equivalent to the given isl_map.
+ * This obivously only works if the input "map" is single-valued.
+ * If so, we compute the lexicographic minimum of the image in the form
+ * of an isl_pw_multi_aff. Since the image is unique, it is equal
+ * to its lexicographic minimum.
+ * If the input is not single-valued, we produce an error.
+ */
+__isl_give isl_pw_multi_aff *isl_pw_multi_aff_from_map(__isl_take isl_map *map)
+{
+ int i;
+ int sv;
+ isl_pw_multi_aff *pma;
+
+ if (!map)
+ return NULL;
+
+ sv = isl_map_is_single_valued(map);
+ if (sv < 0)
+ goto error;
+ if (!sv)
+ isl_die(isl_map_get_ctx(map), isl_error_invalid,
+ "map is not single-valued", goto error);
+ map = isl_map_make_disjoint(map);
+ if (!map)
+ return NULL;
+
+ pma = isl_pw_multi_aff_empty(isl_map_get_space(map));
+
+ for (i = 0; i < map->n; ++i) {
+ isl_pw_multi_aff *pma_i;
+ isl_basic_map *bmap;
+ bmap = isl_basic_map_copy(map->p[i]);
+ pma_i = isl_basic_map_lexmin_pw_multi_aff(bmap);
+ pma = isl_pw_multi_aff_add_disjoint(pma, pma_i);
+ }
+
+ isl_map_free(map);
+ return pma;
+error:
+ isl_map_free(map);
+ return NULL;
+}
+
+__isl_give isl_pw_multi_aff *isl_pw_multi_aff_from_set(__isl_take isl_set *set)
+{
+ return isl_pw_multi_aff_from_map(set);
+}
+
+/* Plug in "subs" for dimension "type", "pos" of "aff".
+ *
+ * Let i be the dimension to replace and let "subs" be of the form
+ *
+ * f/d
+ *
+ * and "aff" of the form
+ *
+ * (a i + g)/m
+ *
+ * The result is
+ *
+ * floor((a f + d g')/(m d))
+ *
+ * where g' is the result of plugging in "subs" in each of the integer
+ * divisions in g.
+ */
+__isl_give isl_aff *isl_aff_substitute(__isl_take isl_aff *aff,
+ enum isl_dim_type type, unsigned pos, __isl_keep isl_aff *subs)
+{
+ isl_ctx *ctx;
+ isl_int v;
+
+ aff = isl_aff_cow(aff);
+ if (!aff || !subs)
+ return isl_aff_free(aff);
+
+ ctx = isl_aff_get_ctx(aff);
+ if (!isl_space_is_equal(aff->ls->dim, subs->ls->dim))
+ isl_die(ctx, isl_error_invalid,
+ "spaces don't match", return isl_aff_free(aff));
+ if (isl_local_space_dim(subs->ls, isl_dim_div) != 0)
+ isl_die(ctx, isl_error_unsupported,
+ "cannot handle divs yet", return isl_aff_free(aff));
+
+ aff->ls = isl_local_space_substitute(aff->ls, type, pos, subs);
+ if (!aff->ls)
+ return isl_aff_free(aff);
+
+ aff->v = isl_vec_cow(aff->v);
+ if (!aff->v)
+ return isl_aff_free(aff);
+
+ pos += isl_local_space_offset(aff->ls, type);
+
+ isl_int_init(v);
+ isl_int_set(v, aff->v->el[1 + pos]);
+ isl_int_set_si(aff->v->el[1 + pos], 0);
+ isl_seq_combine(aff->v->el + 1, subs->v->el[0], aff->v->el + 1,
+ v, subs->v->el + 1, subs->v->size - 1);
+ isl_int_mul(aff->v->el[0], aff->v->el[0], subs->v->el[0]);
+ isl_int_clear(v);
+
+ return aff;
+}
+
+/* Plug in "subs" for dimension "type", "pos" in each of the affine
+ * expressions in "maff".
+ */
+__isl_give isl_multi_aff *isl_multi_aff_substitute(
+ __isl_take isl_multi_aff *maff, enum isl_dim_type type, unsigned pos,
+ __isl_keep isl_aff *subs)
+{
+ int i;
+
+ maff = isl_multi_aff_cow(maff);
+ if (!maff || !subs)
+ return isl_multi_aff_free(maff);
+
+ if (type == isl_dim_in)
+ type = isl_dim_set;
+
+ for (i = 0; i < maff->n; ++i) {
+ maff->p[i] = isl_aff_substitute(maff->p[i], type, pos, subs);
+ if (!maff->p[i])
+ return isl_multi_aff_free(maff);
+ }
+
+ return maff;
+}
+
+/* Plug in "subs" for dimension "type", "pos" of "pma".
+ *
+ * pma is of the form
+ *
+ * A_i(v) -> M_i(v)
+ *
+ * while subs is of the form
+ *
+ * v' = B_j(v) -> S_j
+ *
+ * Each pair i,j such that C_ij = A_i \cap B_i is non-empty
+ * has a contribution in the result, in particular
+ *
+ * C_ij(S_j) -> M_i(S_j)
+ *
+ * Note that plugging in S_j in C_ij may also result in an empty set
+ * and this contribution should simply be discarded.
+ */
+__isl_give isl_pw_multi_aff *isl_pw_multi_aff_substitute(
+ __isl_take isl_pw_multi_aff *pma, enum isl_dim_type type, unsigned pos,
+ __isl_keep isl_pw_aff *subs)
+{
+ int i, j, n;
+ isl_pw_multi_aff *res;
+
+ if (!pma || !subs)
+ return isl_pw_multi_aff_free(pma);
+
+ n = pma->n * subs->n;
+ res = isl_pw_multi_aff_alloc_size(isl_space_copy(pma->dim), n);
+
+ for (i = 0; i < pma->n; ++i) {
+ for (j = 0; j < subs->n; ++j) {
+ isl_set *common;
+ isl_multi_aff *res_ij;
+ common = isl_set_intersect(
+ isl_set_copy(pma->p[i].set),
+ isl_set_copy(subs->p[j].set));
+ common = isl_set_substitute(common,
+ type, pos, subs->p[j].aff);
+ if (isl_set_plain_is_empty(common)) {
+ isl_set_free(common);
+ continue;
+ }
+
+ res_ij = isl_multi_aff_substitute(
+ isl_multi_aff_copy(pma->p[i].maff),
+ type, pos, subs->p[j].aff);
+
+ res = isl_pw_multi_aff_add_piece(res, common, res_ij);
+ }
+ }
+
+ isl_pw_multi_aff_free(pma);
+ return res;
+}
+
+/* Extend the local space of "dst" to include the divs
+ * in the local space of "src".
+ */
+__isl_give isl_aff *isl_aff_align_divs(__isl_take isl_aff *dst,
+ __isl_keep isl_aff *src)
+{
+ isl_ctx *ctx;
+ int *exp1 = NULL;
+ int *exp2 = NULL;
+ isl_mat *div;
+
+ if (!src || !dst)
+ return isl_aff_free(dst);
+
+ ctx = isl_aff_get_ctx(src);
+ if (!isl_space_is_equal(src->ls->dim, dst->ls->dim))
+ isl_die(ctx, isl_error_invalid,
+ "spaces don't match", goto error);
+
+ if (src->ls->div->n_row == 0)
+ return dst;
+
+ exp1 = isl_alloc_array(ctx, int, src->ls->div->n_row);
+ exp2 = isl_alloc_array(ctx, int, dst->ls->div->n_row);
+ if (!exp1 || !exp2)
+ goto error;
+
+ div = isl_merge_divs(src->ls->div, dst->ls->div, exp1, exp2);
+ dst = isl_aff_expand_divs(dst, div, exp2);
+ free(exp1);
+ free(exp2);
+
+ return dst;
+error:
+ free(exp1);
+ free(exp2);
+ return isl_aff_free(dst);
+}
+
+/* Adjust the local spaces of the affine expressions in "maff"
+ * such that they all have the save divs.
+ */
+__isl_give isl_multi_aff *isl_multi_aff_align_divs(
+ __isl_take isl_multi_aff *maff)
+{
+ int i;
+
+ if (!maff)
+ return NULL;
+ if (maff->n == 0)
+ return maff;
+ maff = isl_multi_aff_cow(maff);
+ if (!maff)
+ return NULL;
+
+ for (i = 1; i < maff->n; ++i)
+ maff->p[0] = isl_aff_align_divs(maff->p[0], maff->p[i]);
+ for (i = 1; i < maff->n; ++i) {
+ maff->p[i] = isl_aff_align_divs(maff->p[i], maff->p[0]);
+ if (!maff->p[i])
+ return isl_multi_aff_free(maff);
+ }
+
+ return maff;
+}
+
+__isl_give isl_aff *isl_aff_lift(__isl_take isl_aff *aff)
+{
+ aff = isl_aff_cow(aff);
+ if (!aff)
+ return NULL;
+
+ aff->ls = isl_local_space_lift(aff->ls);
+ if (!aff->ls)
+ return isl_aff_free(aff);
+
+ return aff;
+}
+
+/* Lift "maff" to a space with extra dimensions such that the result
+ * has no more existentially quantified variables.
+ * If "ls" is not NULL, then *ls is assigned the local space that lies
+ * at the basis of the lifting applied to "maff".
+ */
+__isl_give isl_multi_aff *isl_multi_aff_lift(__isl_take isl_multi_aff *maff,
+ __isl_give isl_local_space **ls)
+{
+ int i;
+ isl_space *space;
+ unsigned n_div;
+
+ if (ls)
+ *ls = NULL;
+
+ if (!maff)
+ return NULL;
+
+ if (maff->n == 0) {
+ if (ls) {
+ isl_space *space = isl_multi_aff_get_domain_space(maff);
+ *ls = isl_local_space_from_space(space);
+ if (!*ls)
+ return isl_multi_aff_free(maff);
+ }
+ return maff;
+ }
+
+ maff = isl_multi_aff_cow(maff);
+ maff = isl_multi_aff_align_divs(maff);
+ if (!maff)
+ return NULL;
+
+ n_div = isl_aff_dim(maff->p[0], isl_dim_div);
+ space = isl_multi_aff_get_space(maff);
+ space = isl_space_lift(isl_space_domain(space), n_div);
+ space = isl_space_extend_domain_with_range(space,
+ isl_multi_aff_get_space(maff));
+ if (!space)
+ return isl_multi_aff_free(maff);
+ isl_space_free(maff->space);
+ maff->space = space;
+
+ if (ls) {
+ *ls = isl_aff_get_domain_local_space(maff->p[0]);
+ if (!*ls)
+ return isl_multi_aff_free(maff);
+ }
+
+ for (i = 0; i < maff->n; ++i) {
+ maff->p[i] = isl_aff_lift(maff->p[i]);
+ if (!maff->p[i])
+ goto error;
+ }
+
+ return maff;
+error:
+ if (ls)
+ isl_local_space_free(*ls);
+ return isl_multi_aff_free(maff);
+}
projects / platform / upstream / isl.git / blobdiff