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/*
* Copyright 2011 INRIA Saclay
* Copyright 2012-2013 Ecole Normale Superieure
* Copyright 2016 Sven Verdoolaege
*
* 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/ctx.h>
#include <isl/space.h>
#include <isl/local_space.h>
#include <isl/union_map.h>
#include <isl_map_private.h>
#include <isl_aff_private.h>
#include <isl_vec_private.h>
#include <isl_seq.h>
#include <bset_from_bmap.c>
#include <set_from_map.c>
/* Check that the input living in "space" lives in a map space.
* That is, check that "space" is a map space.
*/
static isl_stat check_input_is_map(__isl_keep isl_space *space)
{
isl_bool is_set;
is_set = isl_space_is_set(space);
if (is_set < 0)
return isl_stat_error;
if (is_set)
isl_die(isl_space_get_ctx(space), isl_error_invalid,
"space of input is not a map", return isl_stat_error);
return isl_stat_ok;
}
/* Check that the input living in "space" lives in a set space.
* That is, check that "space" is a set space.
*/
static isl_stat check_input_is_set(__isl_keep isl_space *space)
{
isl_bool is_set;
is_set = isl_space_is_set(space);
if (is_set < 0)
return isl_stat_error;
if (!is_set)
isl_die(isl_space_get_ctx(space), isl_error_invalid,
"space of input is not a set", return isl_stat_error);
return isl_stat_ok;
}
/* Construct a basic map mapping the domain of the affine expression
* to a one-dimensional range prescribed by the affine expression.
* If "rational" is set, then construct a rational basic map.
*
* A NaN affine expression cannot be converted to a basic map.
*/
static __isl_give isl_basic_map *isl_basic_map_from_aff2(
__isl_take isl_aff *aff, int rational)
{
int k;
int pos;
isl_bool is_nan;
isl_local_space *ls;
isl_basic_map *bmap = NULL;
if (!aff)
return NULL;
is_nan = isl_aff_is_nan(aff);
if (is_nan < 0)
goto error;
if (is_nan)
isl_die(isl_aff_get_ctx(aff), isl_error_invalid,
"cannot convert NaN", goto error);
ls = isl_aff_get_local_space(aff);
bmap = isl_basic_map_from_local_space(ls);
bmap = isl_basic_map_extend_constraints(bmap, 1, 0);
k = isl_basic_map_alloc_equality(bmap);
if (k < 0)
goto error;
pos = isl_basic_map_offset(bmap, isl_dim_out);
isl_seq_cpy(bmap->eq[k], aff->v->el + 1, pos);
isl_int_neg(bmap->eq[k][pos], aff->v->el[0]);
isl_seq_cpy(bmap->eq[k] + pos + 1, aff->v->el + 1 + pos,
aff->v->size - (pos + 1));
isl_aff_free(aff);
if (rational)
bmap = isl_basic_map_set_rational(bmap);
bmap = isl_basic_map_gauss(bmap, NULL);
bmap = isl_basic_map_finalize(bmap);
return bmap;
error:
isl_aff_free(aff);
isl_basic_map_free(bmap);
return NULL;
}
/* Construct a basic map mapping the domain of the affine expression
* to a one-dimensional range prescribed by the affine expression.
*/
__isl_give isl_basic_map *isl_basic_map_from_aff(__isl_take isl_aff *aff)
{
return isl_basic_map_from_aff2(aff, 0);
}
/* Construct a map mapping the domain of the affine expression
* to a one-dimensional range prescribed by the affine expression.
*/
__isl_give isl_map *isl_map_from_aff(__isl_take isl_aff *aff)
{
isl_basic_map *bmap;
bmap = isl_basic_map_from_aff(aff);
return isl_map_from_basic_map(bmap);
}
/* Construct a basic map mapping the domain of the multi-affine expression
* to its range, with each dimension in the range equated to the
* corresponding affine expression.
* If "rational" is set, then construct a rational basic map.
*/
__isl_give isl_basic_map *isl_basic_map_from_multi_aff2(
__isl_take isl_multi_aff *maff, int rational)
{
int i;
isl_size dim;
isl_space *space;
isl_basic_map *bmap;
dim = isl_multi_aff_dim(maff, isl_dim_out);
if (dim < 0)
goto error;
if (dim != maff->n)
isl_die(isl_multi_aff_get_ctx(maff), isl_error_internal,
"invalid space", goto error);
space = isl_space_domain(isl_multi_aff_get_space(maff));
bmap = isl_basic_map_universe(isl_space_from_domain(space));
if (rational)
bmap = isl_basic_map_set_rational(bmap);
for (i = 0; i < maff->n; ++i) {
isl_aff *aff;
isl_basic_map *bmap_i;
aff = isl_aff_copy(maff->u.p[i]);
bmap_i = isl_basic_map_from_aff2(aff, rational);
bmap = isl_basic_map_flat_range_product(bmap, bmap_i);
}
bmap = isl_basic_map_reset_space(bmap, isl_multi_aff_get_space(maff));
isl_multi_aff_free(maff);
return bmap;
error:
isl_multi_aff_free(maff);
return NULL;
}
/* Construct a basic map mapping the domain of the multi-affine expression
* to its range, with each dimension in the range equated to the
* corresponding affine expression.
* If "ma" lives in a set space, then the result is actually a set.
*/
static __isl_give isl_basic_map *basic_map_from_multi_aff(
__isl_take isl_multi_aff *ma)
{
return isl_basic_map_from_multi_aff2(ma, 0);
}
/* Construct a basic map mapping the domain of the multi-affine expression
* to its range, with each dimension in the range equated to the
* corresponding affine expression.
*/
__isl_give isl_basic_map *isl_basic_map_from_multi_aff(
__isl_take isl_multi_aff *ma)
{
if (check_input_is_map(isl_multi_aff_peek_space(ma)) < 0)
ma = isl_multi_aff_free(ma);
return basic_map_from_multi_aff(ma);
}
/* Construct a basic set mapping the parameter domain
* of the multi-affine expression to its space, with each dimension
* in the space equated to the corresponding affine expression.
*/
__isl_give isl_basic_set *isl_basic_set_from_multi_aff(
__isl_take isl_multi_aff *ma)
{
if (check_input_is_set(isl_multi_aff_peek_space(ma)) < 0)
ma = isl_multi_aff_free(ma);
return bset_from_bmap(basic_map_from_multi_aff(ma));
}
/* Construct a map mapping the domain of the multi-affine expression
* to its range, with each dimension in the range equated to the
* corresponding affine expression.
* If "maff" lives in a set space, then the result is actually a set.
*/
__isl_give isl_map *isl_map_from_multi_aff_internal(
__isl_take isl_multi_aff *maff)
{
isl_basic_map *bmap;
bmap = basic_map_from_multi_aff(maff);
return isl_map_from_basic_map(bmap);
}
/* Construct a map mapping the domain the multi-affine expression
* to its range, with each dimension in the range equated to the
* corresponding affine expression.
*/
__isl_give isl_map *isl_map_from_multi_aff(__isl_take isl_multi_aff *ma)
{
if (check_input_is_map(isl_multi_aff_peek_space(ma)) < 0)
ma = isl_multi_aff_free(ma);
return isl_map_from_multi_aff_internal(ma);
}
/* This function performs the same operation as isl_map_from_multi_aff,
* but is considered as a function on an isl_multi_aff when exported.
*/
__isl_give isl_map *isl_multi_aff_as_map(__isl_take isl_multi_aff *ma)
{
return isl_map_from_multi_aff(ma);
}
/* Construct a set mapping the parameter domain the multi-affine expression
* to its space, with each dimension in the space equated to the
* corresponding affine expression.
*/
__isl_give isl_set *isl_set_from_multi_aff(__isl_take isl_multi_aff *ma)
{
if (check_input_is_set(isl_multi_aff_peek_space(ma)) < 0)
ma = isl_multi_aff_free(ma);
return isl_map_from_multi_aff_internal(ma);
}
/* This function performs the same operation as isl_set_from_multi_aff,
* but is considered as a function on an isl_multi_aff when exported.
*/
__isl_give isl_set *isl_multi_aff_as_set(__isl_take isl_multi_aff *ma)
{
return isl_set_from_multi_aff(ma);
}
/* Construct a basic map mapping a domain in the given space to
* to an n-dimensional range, with n the number of elements in the list,
* where each coordinate in the range is prescribed by the
* corresponding affine expression.
* The domains of all affine expressions in the list are assumed to match
* domain_space.
*/
__isl_give isl_basic_map *isl_basic_map_from_aff_list(
__isl_take isl_space *domain_space, __isl_take isl_aff_list *list)
{
int i;
isl_space *space;
isl_basic_map *bmap;
if (!list)
return NULL;
space = isl_space_from_domain(domain_space);
bmap = isl_basic_map_universe(space);
for (i = 0; i < list->n; ++i) {
isl_aff *aff;
isl_basic_map *bmap_i;
aff = isl_aff_copy(list->p[i]);
bmap_i = isl_basic_map_from_aff(aff);
bmap = isl_basic_map_flat_range_product(bmap, bmap_i);
}
isl_aff_list_free(list);
return bmap;
}
/* Construct a map with as domain the domain of pwaff and
* one-dimensional range corresponding to the affine expressions.
* If "pwaff" lives in a set space, then the result is actually a set.
*/
__isl_give isl_map *isl_map_from_pw_aff_internal(__isl_take isl_pw_aff *pwaff)
{
int i;
isl_space *space;
isl_map *map;
if (!pwaff)
return NULL;
space = isl_pw_aff_get_space(pwaff);
map = isl_map_empty(space);
for (i = 0; i < pwaff->n; ++i) {
isl_basic_map *bmap;
isl_map *map_i;
bmap = isl_basic_map_from_aff(isl_aff_copy(pwaff->p[i].aff));
map_i = isl_map_from_basic_map(bmap);
map_i = isl_map_intersect_domain(map_i,
isl_set_copy(pwaff->p[i].set));
map = isl_map_union_disjoint(map, map_i);
}
isl_pw_aff_free(pwaff);
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 (check_input_is_map(isl_pw_aff_peek_space(pwaff)) < 0)
pwaff = isl_pw_aff_free(pwaff);
return isl_map_from_pw_aff_internal(pwaff);
}
/* This function performs the same operation as isl_map_from_pw_aff,
* but is considered as a function on an isl_pw_aff when exported.
*/
__isl_give isl_map *isl_pw_aff_as_map(__isl_take isl_pw_aff *pa)
{
return isl_map_from_pw_aff(pa);
}
/* 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)
{
if (check_input_is_set(isl_pw_aff_peek_space(pwaff)) < 0)
pwaff = isl_pw_aff_free(pwaff);
return set_from_map(isl_map_from_pw_aff_internal(pwaff));
}
/* Construct a map mapping the domain of the piecewise multi-affine expression
* to its range, with each dimension in the range equated to the
* corresponding affine expression on its cell.
* If "pma" lives in a set space, then the result is actually a set.
*
* If the domain of "pma" is rational, then so is the constructed "map".
*/
__isl_give isl_map *isl_map_from_pw_multi_aff_internal(
__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_bool rational;
isl_multi_aff *maff;
isl_basic_map *bmap;
isl_map *map_i;
rational = isl_set_is_rational(pma->p[i].set);
if (rational < 0)
map = isl_map_free(map);
maff = isl_multi_aff_copy(pma->p[i].maff);
bmap = isl_basic_map_from_multi_aff2(maff, rational);
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;
}
/* Construct a map mapping the domain of 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)
{
if (check_input_is_map(isl_pw_multi_aff_peek_space(pma)) < 0)
pma = isl_pw_multi_aff_free(pma);
return isl_map_from_pw_multi_aff_internal(pma);
}
/* This function performs the same operation as isl_map_from_pw_multi_aff,
* but is considered as a function on an isl_pw_multi_aff when exported.
*/
__isl_give isl_map *isl_pw_multi_aff_as_map(__isl_take isl_pw_multi_aff *pma)
{
return isl_map_from_pw_multi_aff(pma);
}
__isl_give isl_set *isl_set_from_pw_multi_aff(__isl_take isl_pw_multi_aff *pma)
{
if (check_input_is_set(isl_pw_multi_aff_peek_space(pma)) < 0)
pma = isl_pw_multi_aff_free(pma);
return set_from_map(isl_map_from_pw_multi_aff_internal(pma));
}
/* This function performs the same operation as isl_set_from_pw_multi_aff,
* but is considered as a function on an isl_pw_multi_aff when exported.
*/
__isl_give isl_set *isl_pw_multi_aff_as_set(__isl_take isl_pw_multi_aff *pma)
{
return isl_set_from_pw_multi_aff(pma);
}
/* Construct a set or map mapping the shared (parameter) domain
* of the piecewise affine expressions to the range of "mpa"
* with each dimension in the range equated to the
* corresponding piecewise affine expression.
*/
static __isl_give isl_map *map_from_multi_pw_aff(
__isl_take isl_multi_pw_aff *mpa)
{
int i;
isl_size dim;
isl_space *space;
isl_map *map;
dim = isl_multi_pw_aff_dim(mpa, isl_dim_out);
if (dim < 0)
goto error;
if (isl_space_dim(mpa->space, isl_dim_out) != mpa->n)
isl_die(isl_multi_pw_aff_get_ctx(mpa), isl_error_internal,
"invalid space", goto error);
space = isl_multi_pw_aff_get_domain_space(mpa);
map = isl_map_universe(isl_space_from_domain(space));
for (i = 0; i < mpa->n; ++i) {
isl_pw_aff *pa;
isl_map *map_i;
pa = isl_pw_aff_copy(mpa->u.p[i]);
map_i = isl_map_from_pw_aff_internal(pa);
map = isl_map_flat_range_product(map, map_i);
}
map = isl_map_reset_space(map, isl_multi_pw_aff_get_space(mpa));
isl_multi_pw_aff_free(mpa);
return map;
error:
isl_multi_pw_aff_free(mpa);
return NULL;
}
/* Construct a map mapping the shared domain
* of the piecewise affine expressions to the range of "mpa"
* with each dimension in the range equated to the
* corresponding piecewise affine expression.
*/
__isl_give isl_map *isl_map_from_multi_pw_aff(__isl_take isl_multi_pw_aff *mpa)
{
if (check_input_is_map(isl_multi_pw_aff_peek_space(mpa)) < 0)
mpa = isl_multi_pw_aff_free(mpa);
return map_from_multi_pw_aff(mpa);
}
/* This function performs the same operation as isl_map_from_multi_pw_aff,
* but is considered as a function on an isl_multi_pw_aff when exported.
*/
__isl_give isl_map *isl_multi_pw_aff_as_map(__isl_take isl_multi_pw_aff *mpa)
{
return isl_map_from_multi_pw_aff(mpa);
}
/* Construct a set mapping the shared parameter domain
* of the piecewise affine expressions to the space of "mpa"
* with each dimension in the range equated to the
* corresponding piecewise affine expression.
*/
__isl_give isl_set *isl_set_from_multi_pw_aff(__isl_take isl_multi_pw_aff *mpa)
{
if (check_input_is_set(isl_multi_pw_aff_peek_space(mpa)) < 0)
mpa = isl_multi_pw_aff_free(mpa);
return set_from_map(map_from_multi_pw_aff(mpa));
}
/* This function performs the same operation as isl_set_from_multi_pw_aff,
* but is considered as a function on an isl_multi_pw_aff when exported.
*/
__isl_give isl_set *isl_multi_pw_aff_as_set(__isl_take isl_multi_pw_aff *mpa)
{
return isl_set_from_multi_pw_aff(mpa);
}
/* Convert "pa" to an isl_map and add it to *umap.
*/
static isl_stat map_from_pw_aff_entry(__isl_take isl_pw_aff *pa, void *user)
{
isl_union_map **umap = user;
isl_map *map;
map = isl_map_from_pw_aff(pa);
*umap = isl_union_map_add_map(*umap, map);
return *umap ? isl_stat_ok : isl_stat_error;
}
/* Construct a union map mapping the domain of the union
* piecewise affine expression to its range, with the single output dimension
* equated to the corresponding affine expressions on their cells.
*/
__isl_give isl_union_map *isl_union_map_from_union_pw_aff(
__isl_take isl_union_pw_aff *upa)
{
isl_space *space;
isl_union_map *umap;
if (!upa)
return NULL;
space = isl_union_pw_aff_get_space(upa);
umap = isl_union_map_empty(space);
if (isl_union_pw_aff_foreach_pw_aff(upa, &map_from_pw_aff_entry,
&umap) < 0)
umap = isl_union_map_free(umap);
isl_union_pw_aff_free(upa);
return umap;
}
/* Convert "pma" to an isl_map and add it to *umap.
*/
static isl_stat map_from_pw_multi_aff(__isl_take isl_pw_multi_aff *pma,
void *user)
{
isl_union_map **umap = user;
isl_map *map;
map = isl_map_from_pw_multi_aff(pma);
*umap = isl_union_map_add_map(*umap, map);
return isl_stat_ok;
}
/* Construct a union map mapping the domain of the union
* 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_union_map *isl_union_map_from_union_pw_multi_aff(
__isl_take isl_union_pw_multi_aff *upma)
{
isl_space *space;
isl_union_map *umap;
if (!upma)
return NULL;
space = isl_union_pw_multi_aff_get_space(upma);
umap = isl_union_map_empty(space);
if (isl_union_pw_multi_aff_foreach_pw_multi_aff(upma,
&map_from_pw_multi_aff, &umap) < 0)
goto error;
isl_union_pw_multi_aff_free(upma);
return umap;
error:
isl_union_pw_multi_aff_free(upma);
isl_union_map_free(umap);
return NULL;
}
/* This function performs the same operation as
* isl_union_map_from_union_pw_multi_aff,
* but is considered as a function on an isl_union_pw_multi_aff when exported.
*/
__isl_give isl_union_map *isl_union_pw_multi_aff_as_union_map(
__isl_take isl_union_pw_multi_aff *upma)
{
return isl_union_map_from_union_pw_multi_aff(upma);
}
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