#include <strings.h>
#include "isl_ctx.h"
#include "isl_blk.h"
+#include "isl_dim.h"
+#include "isl_list.h"
+#include "isl_lp.h"
#include "isl_seq.h"
#include "isl_set.h"
#include "isl_map.h"
#include "isl_sample.h"
#include "isl_vec.h"
+/* Maps dst positions to src positions */
+struct isl_dim_map {
+ unsigned len;
+ int pos[1];
+};
+
+static struct isl_dim_map *isl_dim_map_alloc(struct isl_ctx *ctx, unsigned len)
+{
+ int i;
+ struct isl_dim_map *dim_map;
+ dim_map = isl_alloc(ctx, struct isl_dim_map,
+ sizeof(struct isl_dim_map) + len * sizeof(int));
+ if (!dim_map)
+ return NULL;
+ dim_map->len = 1 + len;
+ dim_map->pos[0] = 0;
+ for (i = 0; i < len; ++i)
+ dim_map->pos[1 + i] = -1;
+ return dim_map;
+}
+
+static unsigned n(struct isl_dim *dim, enum isl_dim_type type)
+{
+ switch (type) {
+ case isl_dim_param: return dim->nparam;
+ case isl_dim_in: return dim->n_in;
+ case isl_dim_out: return dim->n_out;
+ }
+}
+
+static unsigned pos(struct isl_dim *dim, enum isl_dim_type type)
+{
+ switch (type) {
+ case isl_dim_param: return 1;
+ case isl_dim_in: return 1 + dim->nparam;
+ case isl_dim_out: return 1 + dim->nparam + dim->n_in;
+ }
+}
+
+static void isl_dim_map_dim(struct isl_dim_map *dim_map, struct isl_dim *dim,
+ enum isl_dim_type type, unsigned dst_pos)
+{
+ int i;
+ unsigned src_pos;
+
+ if (!dim_map || !dim)
+ return;
+
+ src_pos = pos(dim, type);
+ for (i = 0; i < n(dim, type); ++i)
+ dim_map->pos[1 + dst_pos + i] = src_pos + i;
+}
+
+static void isl_dim_map_div(struct isl_dim_map *dim_map,
+ struct isl_basic_map *bmap, unsigned dst_pos)
+{
+ int i;
+ unsigned src_pos;
+
+ if (!dim_map || !bmap)
+ return;
+
+ src_pos = 1 + isl_dim_total(bmap->dim);
+ for (i = 0; i < bmap->n_div; ++i)
+ dim_map->pos[1 + dst_pos + i] = src_pos + i;
+}
+
+static void isl_dim_map_dump(struct isl_dim_map *dim_map)
+{
+ int i;
+
+ for (i = 0; i < dim_map->len; ++i)
+ fprintf(stderr, "%d -> %d; ", i, dim_map->pos[i]);
+ fprintf(stderr, "\n");
+}
+
+unsigned isl_basic_map_dim(const struct isl_basic_map *bmap,
+ enum isl_dim_type type)
+{
+ struct isl_dim *dim = bmap->dim;
+ switch (type) {
+ case isl_dim_param:
+ case isl_dim_in:
+ case isl_dim_out: return isl_dim_size(bmap->dim, type);
+ case isl_dim_div: return bmap->n_div;
+ case isl_dim_all: return isl_basic_map_total_dim(bmap);
+ }
+}
+
+unsigned isl_map_dim(const struct isl_map *map, enum isl_dim_type type)
+{
+ return n(map->dim, type);
+}
+
+unsigned isl_basic_map_offset(struct isl_basic_map *bmap,
+ enum isl_dim_type type)
+{
+ struct isl_dim *dim = bmap->dim;
+ switch (type) {
+ case isl_dim_param: return 1;
+ case isl_dim_in: return 1 + dim->nparam;
+ case isl_dim_out: return 1 + dim->nparam + dim->n_in;
+ case isl_dim_div: return 1 + dim->nparam + dim->n_in + dim->n_out;
+ }
+}
+
+static unsigned map_offset(struct isl_map *map, enum isl_dim_type type)
+{
+ return pos(map->dim, type);
+}
+
+unsigned isl_basic_set_dim(const struct isl_basic_set *bset,
+ enum isl_dim_type type)
+{
+ return isl_basic_map_dim((const struct isl_basic_map*)bset, type);
+}
+
+unsigned isl_basic_set_n_dim(const struct isl_basic_set *bset)
+{
+ return bset->dim->n_out;
+}
+
+unsigned isl_basic_set_n_param(const struct isl_basic_set *bset)
+{
+ return bset->dim->nparam;
+}
+
+unsigned isl_basic_set_total_dim(const struct isl_basic_set *bset)
+{
+ return isl_dim_total(bset->dim) + bset->n_div;
+}
+
+unsigned isl_set_n_dim(const struct isl_set *set)
+{
+ return set->dim->n_out;
+}
+
+unsigned isl_set_n_param(const struct isl_set *set)
+{
+ return set->dim->nparam;
+}
+
+unsigned isl_basic_map_n_in(const struct isl_basic_map *bmap)
+{
+ return bmap->dim->n_in;
+}
+
+unsigned isl_basic_map_n_out(const struct isl_basic_map *bmap)
+{
+ return bmap->dim->n_out;
+}
+
+unsigned isl_basic_map_n_param(const struct isl_basic_map *bmap)
+{
+ return bmap->dim->nparam;
+}
+
+unsigned isl_basic_map_n_div(const struct isl_basic_map *bmap)
+{
+ return bmap->n_div;
+}
+
+unsigned isl_basic_map_total_dim(const struct isl_basic_map *bmap)
+{
+ return isl_dim_total(bmap->dim) + bmap->n_div;
+}
+
+unsigned isl_map_n_in(const struct isl_map *map)
+{
+ return map->dim->n_in;
+}
+
+unsigned isl_map_n_out(const struct isl_map *map)
+{
+ return map->dim->n_out;
+}
+
+unsigned isl_map_n_param(const struct isl_map *map)
+{
+ return map->dim->nparam;
+}
+
+int isl_map_compatible_domain(struct isl_map *map, struct isl_set *set)
+{
+ return map->dim->n_in == set->dim->n_out &&
+ map->dim->nparam == set->dim->nparam;
+}
+
+int isl_basic_map_compatible_domain(struct isl_basic_map *bmap,
+ struct isl_basic_set *bset)
+{
+ return bmap->dim->n_in == bset->dim->n_out &&
+ bmap->dim->nparam == bset->dim->nparam;
+}
+
+int isl_basic_map_compatible_range(struct isl_basic_map *bmap,
+ struct isl_basic_set *bset)
+{
+ return bmap->dim->n_out == bset->dim->n_out &&
+ bmap->dim->nparam == bset->dim->nparam;
+}
+
static struct isl_basic_map *basic_map_init(struct isl_ctx *ctx,
- struct isl_basic_map *bmap,
- unsigned nparam, unsigned n_in, unsigned n_out, unsigned extra,
+ struct isl_basic_map *bmap, unsigned extra,
unsigned n_eq, unsigned n_ineq)
{
int i;
- size_t row_size = 1 + nparam + n_in + n_out + extra;
+ size_t row_size = 1 + isl_dim_total(bmap->dim) + extra;
bmap->block = isl_blk_alloc(ctx, (n_eq + n_ineq) * row_size);
if (isl_blk_is_error(bmap->block)) {
bmap->flags = 0;
bmap->c_size = n_eq + n_ineq;
bmap->ineq = bmap->eq + n_eq;
- bmap->nparam = nparam;
- bmap->n_in = n_in;
- bmap->n_out = n_out;
bmap->extra = extra;
bmap->n_eq = 0;
bmap->n_ineq = 0;
bmap->sample = NULL;
return bmap;
+error:
+ isl_basic_map_free(bmap);
+ return NULL;
}
struct isl_basic_set *isl_basic_set_alloc(struct isl_ctx *ctx,
return (struct isl_basic_set *)bmap;
}
+struct isl_basic_set *isl_basic_set_alloc_dim(struct isl_dim *dim,
+ unsigned extra, unsigned n_eq, unsigned n_ineq)
+{
+ struct isl_basic_map *bmap;
+ if (!dim)
+ return NULL;
+ isl_assert(dim->ctx, dim->n_in == 0, return NULL);
+ bmap = isl_basic_map_alloc_dim(dim, extra, n_eq, n_ineq);
+ return (struct isl_basic_set *)bmap;
+}
+
+struct isl_basic_map *isl_basic_map_alloc_dim(struct isl_dim *dim,
+ unsigned extra, unsigned n_eq, unsigned n_ineq)
+{
+ struct isl_basic_map *bmap;
+
+ if (!dim)
+ return NULL;
+ bmap = isl_alloc_type(dim->ctx, struct isl_basic_map);
+ if (!bmap)
+ goto error;
+ bmap->dim = dim;
+
+ return basic_map_init(dim->ctx, bmap, extra, n_eq, n_ineq);
+error:
+ isl_dim_free(dim);
+ return NULL;
+}
+
struct isl_basic_map *isl_basic_map_alloc(struct isl_ctx *ctx,
unsigned nparam, unsigned in, unsigned out, unsigned extra,
unsigned n_eq, unsigned n_ineq)
{
struct isl_basic_map *bmap;
+ struct isl_dim *dim;
- bmap = isl_alloc_type(ctx, struct isl_basic_map);
- if (!bmap)
+ dim = isl_dim_alloc(ctx, nparam, in, out);
+ if (!dim)
return NULL;
- return basic_map_init(ctx, bmap,
- nparam, in, out, extra, n_eq, n_ineq);
+ bmap = isl_basic_map_alloc_dim(dim, extra, n_eq, n_ineq);
+ return bmap;
}
static void dup_constraints(
struct isl_basic_map *dst, struct isl_basic_map *src)
{
int i;
- unsigned total = src->nparam + src->n_in + src->n_out + src->n_div;
+ unsigned total = isl_basic_map_total_dim(src);
for (i = 0; i < src->n_eq; ++i) {
int j = isl_basic_map_alloc_equality(dst);
if (!bmap)
return NULL;
- dup = isl_basic_map_alloc(bmap->ctx, bmap->nparam,
- bmap->n_in, bmap->n_out,
+ dup = isl_basic_map_alloc_dim(isl_dim_copy(bmap->dim),
bmap->n_div, bmap->n_eq, bmap->n_ineq);
if (!dup)
return NULL;
free(bmap->eq);
isl_blk_free(bmap->ctx, bmap->block);
isl_vec_free(bmap->ctx, bmap->sample);
+ isl_dim_free(bmap->dim);
free(bmap);
}
bmap->ineq[j] = t;
bmap->n_ineq--;
bmap->ineq++;
- }
+ } else
+ isl_seq_clr(bmap->eq[bmap->n_eq] +
+ 1 + isl_basic_map_total_dim(bmap),
+ bmap->extra - bmap->n_div);
+ F_CLR(bmap, ISL_BASIC_MAP_NORMALIZED_DIVS);
return bmap->n_eq++;
}
bmap->n_eq++;
bmap->n_ineq--;
bmap->ineq++;
+ F_CLR(bmap, ISL_BASIC_MAP_NORMALIZED);
+ F_CLR(bmap, ISL_BASIC_MAP_NORMALIZED_DIVS);
+ F_CLR(bmap, ISL_BASIC_MAP_ALL_EQUALITIES);
}
int isl_basic_map_alloc_inequality(struct isl_basic_map *bmap)
return -1);
F_CLR(bmap, ISL_BASIC_MAP_NO_IMPLICIT);
F_CLR(bmap, ISL_BASIC_MAP_NO_REDUNDANT);
+ F_CLR(bmap, ISL_BASIC_MAP_NORMALIZED);
+ F_CLR(bmap, ISL_BASIC_MAP_ALL_EQUALITIES);
+ isl_seq_clr(bmap->ineq[bmap->n_ineq] +
+ 1 + isl_basic_map_total_dim(bmap),
+ bmap->extra - bmap->n_div);
return bmap->n_ineq++;
}
t = bmap->ineq[pos];
bmap->ineq[pos] = bmap->ineq[bmap->n_ineq - 1];
bmap->ineq[bmap->n_ineq - 1] = t;
+ F_CLR(bmap, ISL_BASIC_MAP_NORMALIZED);
}
bmap->n_ineq--;
return 0;
if (!bmap)
return -1;
isl_assert(bmap->ctx, bmap->n_div < bmap->extra, return -1);
+ isl_seq_clr(bmap->div[bmap->n_div] +
+ 1 + 1 + isl_basic_map_total_dim(bmap),
+ bmap->extra - bmap->n_div);
+ F_CLR(bmap, ISL_BASIC_MAP_NORMALIZED_DIVS);
return bmap->n_div++;
}
struct isl_basic_map *src_map, isl_int *src,
unsigned in_off, unsigned out_off, unsigned div_off)
{
+ unsigned src_nparam = isl_basic_map_n_param(src_map);
+ unsigned dst_nparam = isl_basic_map_n_param(dst_map);
+ unsigned src_in = isl_basic_map_n_in(src_map);
+ unsigned dst_in = isl_basic_map_n_in(dst_map);
+ unsigned src_out = isl_basic_map_n_out(src_map);
+ unsigned dst_out = isl_basic_map_n_out(dst_map);
isl_int_set(dst[0], src[0]);
- isl_seq_cpy(dst+1, src+1, isl_min(dst_map->nparam, src_map->nparam));
- if (dst_map->nparam > src_map->nparam)
- isl_seq_clr(dst+1+src_map->nparam,
- dst_map->nparam - src_map->nparam);
- isl_seq_clr(dst+1+dst_map->nparam, in_off);
- isl_seq_cpy(dst+1+dst_map->nparam+in_off,
- src+1+src_map->nparam,
- isl_min(dst_map->n_in-in_off, src_map->n_in));
- if (dst_map->n_in-in_off > src_map->n_in)
- isl_seq_clr(dst+1+dst_map->nparam+in_off+src_map->n_in,
- dst_map->n_in - in_off - src_map->n_in);
- isl_seq_clr(dst+1+dst_map->nparam+dst_map->n_in, out_off);
- isl_seq_cpy(dst+1+dst_map->nparam+dst_map->n_in+out_off,
- src+1+src_map->nparam+src_map->n_in,
- isl_min(dst_map->n_out-out_off, src_map->n_out));
- if (dst_map->n_out-out_off > src_map->n_out)
- isl_seq_clr(dst+1+dst_map->nparam+dst_map->n_in+out_off+src_map->n_out,
- dst_map->n_out - out_off - src_map->n_out);
- isl_seq_clr(dst+1+dst_map->nparam+dst_map->n_in+dst_map->n_out, div_off);
- isl_seq_cpy(dst+1+dst_map->nparam+dst_map->n_in+dst_map->n_out+div_off,
- src+1+src_map->nparam+src_map->n_in+src_map->n_out,
- isl_min(dst_map->extra-div_off, src_map->extra));
- if (dst_map->extra-div_off > src_map->extra)
- isl_seq_clr(dst+1+dst_map->nparam+dst_map->n_in+dst_map->n_out+
- div_off+src_map->extra,
- dst_map->extra - div_off - src_map->extra);
+ isl_seq_cpy(dst+1, src+1, isl_min(dst_nparam, src_nparam));
+ if (dst_nparam > src_nparam)
+ isl_seq_clr(dst+1+src_nparam,
+ dst_nparam - src_nparam);
+ isl_seq_clr(dst+1+dst_nparam, in_off);
+ isl_seq_cpy(dst+1+dst_nparam+in_off,
+ src+1+src_nparam,
+ isl_min(dst_in-in_off, src_in));
+ if (dst_in-in_off > src_in)
+ isl_seq_clr(dst+1+dst_nparam+in_off+src_in,
+ dst_in - in_off - src_in);
+ isl_seq_clr(dst+1+dst_nparam+dst_in, out_off);
+ isl_seq_cpy(dst+1+dst_nparam+dst_in+out_off,
+ src+1+src_nparam+src_in,
+ isl_min(dst_out-out_off, src_out));
+ if (dst_out-out_off > src_out)
+ isl_seq_clr(dst+1+dst_nparam+dst_in+out_off+src_out,
+ dst_out - out_off - src_out);
+ isl_seq_clr(dst+1+dst_nparam+dst_in+dst_out, div_off);
+ isl_seq_cpy(dst+1+dst_nparam+dst_in+dst_out+div_off,
+ src+1+src_nparam+src_in+src_out,
+ isl_min(dst_map->extra-div_off, src_map->n_div));
+ if (dst_map->n_div-div_off > src_map->n_div)
+ isl_seq_clr(dst+1+dst_nparam+dst_in+dst_out+
+ div_off+src_map->n_div,
+ dst_map->n_div - div_off - src_map->n_div);
}
static void copy_div(struct isl_basic_map *dst_map, isl_int *dst,
struct isl_basic_map *bmap2, unsigned i_pos, unsigned o_pos)
{
int i;
- unsigned div_off = bmap1->n_div;
+ unsigned div_off;
+
+ if (!bmap1 || !bmap2)
+ goto error;
+
+ div_off = bmap1->n_div;
for (i = 0; i < bmap2->n_eq; ++i) {
int i1 = isl_basic_map_alloc_equality(bmap1);
return NULL;
}
-struct isl_basic_map *isl_basic_map_extend(struct isl_basic_map *base,
- unsigned nparam, unsigned n_in, unsigned n_out, unsigned extra,
+static void copy_constraint_dim_map(isl_int *dst, isl_int *src,
+ struct isl_dim_map *dim_map)
+{
+ int i;
+
+ for (i = 0; i < dim_map->len; ++i) {
+ if (dim_map->pos[i] < 0)
+ isl_int_set_si(dst[i], 0);
+ else
+ isl_int_set(dst[i], src[dim_map->pos[i]]);
+ }
+}
+
+static void copy_div_dim_map(isl_int *dst, isl_int *src,
+ struct isl_dim_map *dim_map)
+{
+ isl_int_set(dst[0], src[0]);
+ copy_constraint_dim_map(dst+1, src+1, dim_map);
+}
+
+static struct isl_basic_map *add_constraints_dim_map(struct isl_basic_map *dst,
+ struct isl_basic_map *src, struct isl_dim_map *dim_map)
+{
+ int i;
+
+ if (!src || !dst || !dim_map)
+ goto error;
+
+ for (i = 0; i < src->n_eq; ++i) {
+ int i1 = isl_basic_map_alloc_equality(dst);
+ if (i1 < 0)
+ goto error;
+ copy_constraint_dim_map(dst->eq[i1], src->eq[i], dim_map);
+ }
+
+ for (i = 0; i < src->n_ineq; ++i) {
+ int i1 = isl_basic_map_alloc_inequality(dst);
+ if (i1 < 0)
+ goto error;
+ copy_constraint_dim_map(dst->ineq[i1], src->ineq[i], dim_map);
+ }
+
+ for (i = 0; i < src->n_div; ++i) {
+ int i1 = isl_basic_map_alloc_div(dst);
+ if (i1 < 0)
+ goto error;
+ copy_div_dim_map(dst->div[i1], src->div[i], dim_map);
+ }
+
+ free(dim_map);
+ isl_basic_map_free(src);
+
+ return dst;
+error:
+ free(dim_map);
+ isl_basic_map_free(src);
+ isl_basic_map_free(dst);
+ return NULL;
+}
+
+struct isl_basic_set *isl_basic_set_add_constraints(struct isl_basic_set *bset1,
+ struct isl_basic_set *bset2, unsigned pos)
+{
+ return (struct isl_basic_set *)
+ add_constraints((struct isl_basic_map *)bset1,
+ (struct isl_basic_map *)bset2, 0, pos);
+}
+
+struct isl_basic_map *isl_basic_map_extend_dim(struct isl_basic_map *base,
+ struct isl_dim *dim, unsigned extra,
unsigned n_eq, unsigned n_ineq)
{
struct isl_basic_map *ext;
unsigned flags;
int dims_ok;
+ if (!dim)
+ goto error;
+
base = isl_basic_map_cow(base);
if (!base)
goto error;
- dims_ok = base && base->nparam == nparam &&
- base->n_in == n_in && base->n_out == n_out &&
+ dims_ok = isl_dim_equal(base->dim, dim) &&
base->extra >= base->n_div + extra;
- if (dims_ok && n_eq == 0 && n_ineq == 0)
+ if (dims_ok && n_eq == 0 && n_ineq == 0) {
+ isl_dim_free(dim);
return base;
+ }
- isl_assert(base->ctx, base->nparam <= nparam, goto error);
- isl_assert(base->ctx, base->n_in <= n_in, goto error);
- isl_assert(base->ctx, base->n_out <= n_out, goto error);
+ isl_assert(base->ctx, base->dim->nparam <= dim->nparam, goto error);
+ isl_assert(base->ctx, base->dim->n_in <= dim->n_in, goto error);
+ isl_assert(base->ctx, base->dim->n_out <= dim->n_out, goto error);
extra += base->extra;
n_eq += base->n_eq;
n_ineq += base->n_ineq;
- ext = isl_basic_map_alloc(base->ctx, nparam, n_in, n_out,
- extra, n_eq, n_ineq);
- if (!base)
- return ext;
+ ext = isl_basic_map_alloc_dim(dim, extra, n_eq, n_ineq);
+ dim = NULL;
if (!ext)
goto error;
return ext;
error:
+ isl_dim_free(dim);
isl_basic_map_free(base);
return NULL;
}
+struct isl_basic_map *isl_basic_map_extend_constraints(
+ struct isl_basic_map *base, unsigned n_eq, unsigned n_ineq)
+{
+ if (!base)
+ return NULL;
+ return isl_basic_map_extend_dim(base, isl_dim_copy(base->dim),
+ 0, n_eq, n_ineq);
+}
+
+struct isl_basic_map *isl_basic_map_extend(struct isl_basic_map *base,
+ unsigned nparam, unsigned n_in, unsigned n_out, unsigned extra,
+ unsigned n_eq, unsigned n_ineq)
+{
+ struct isl_basic_map *bmap;
+ struct isl_dim *dim;
+
+ if (!base)
+ return NULL;
+ dim = isl_dim_alloc(base->ctx, nparam, n_in, n_out);
+ if (!dim)
+ return NULL;
+
+ bmap = isl_basic_map_extend_dim(base, dim, extra, n_eq, n_ineq);
+ return bmap;
+}
+
struct isl_basic_set *isl_basic_set_extend(struct isl_basic_set *base,
unsigned nparam, unsigned dim, unsigned extra,
unsigned n_eq, unsigned n_ineq)
nparam, 0, dim, extra, n_eq, n_ineq);
}
+struct isl_basic_set *isl_basic_set_extend_constraints(
+ struct isl_basic_set *base, unsigned n_eq, unsigned n_ineq)
+{
+ return (struct isl_basic_set *)
+ isl_basic_map_extend_constraints((struct isl_basic_map *)base,
+ n_eq, n_ineq);
+}
+
struct isl_basic_set *isl_basic_set_cow(struct isl_basic_set *bset)
{
return (struct isl_basic_set *)
{
int i;
struct isl_blk blk;
+ unsigned dim;
+ unsigned nparam;
if (!bset)
goto error;
- isl_assert(bset->ctx, n <= bset->dim, goto error);
+ nparam = isl_basic_set_n_param(bset);
+ dim = isl_basic_set_n_dim(bset);
+ isl_assert(bset->ctx, n <= dim, goto error);
- if (n == bset->dim)
+ if (n == dim)
return bset;
bset = isl_basic_set_cow(bset);
if (!bset)
return NULL;
- blk = isl_blk_alloc(bset->ctx, bset->dim);
+ blk = isl_blk_alloc(bset->ctx, dim);
if (isl_blk_is_error(blk))
goto error;
for (i = 0; i < bset->n_eq; ++i)
swap_vars(blk,
- bset->eq[i]+1+bset->nparam, n, bset->dim - n);
+ bset->eq[i]+1+nparam, n, dim - n);
for (i = 0; i < bset->n_ineq; ++i)
swap_vars(blk,
- bset->ineq[i]+1+bset->nparam, n, bset->dim - n);
+ bset->ineq[i]+1+nparam, n, dim - n);
for (i = 0; i < bset->n_div; ++i)
swap_vars(blk,
- bset->div[i]+1+1+bset->nparam, n, bset->dim - n);
+ bset->div[i]+1+1+nparam, n, dim - n);
isl_blk_free(bset->ctx, blk);
+ F_CLR(bset, ISL_BASIC_SET_NORMALIZED);
return bset;
error:
return NULL;
}
}
+ F_CLR(set, ISL_SET_NORMALIZED);
return set;
}
-static void constraint_drop_vars(isl_int *c, unsigned n, unsigned rem)
+struct isl_basic_map *isl_basic_map_set_to_empty(struct isl_basic_map *bmap)
{
- isl_seq_cpy(c, c + n, rem);
- isl_seq_clr(c + rem, n);
+ int i = 0;
+ unsigned total;
+ if (!bmap)
+ goto error;
+ total = isl_basic_map_total_dim(bmap);
+ isl_basic_map_free_div(bmap, bmap->n_div);
+ isl_basic_map_free_inequality(bmap, bmap->n_ineq);
+ if (bmap->n_eq > 0)
+ isl_basic_map_free_equality(bmap, bmap->n_eq-1);
+ else {
+ isl_basic_map_alloc_equality(bmap);
+ if (i < 0)
+ goto error;
+ }
+ isl_int_set_si(bmap->eq[i][0], 1);
+ isl_seq_clr(bmap->eq[i]+1, total);
+ F_SET(bmap, ISL_BASIC_MAP_EMPTY);
+ return isl_basic_map_finalize(bmap);
+error:
+ isl_basic_map_free(bmap);
+ return NULL;
}
-struct isl_basic_set *isl_basic_set_drop_vars(
- struct isl_basic_set *bset, unsigned first, unsigned n)
+struct isl_basic_set *isl_basic_set_set_to_empty(struct isl_basic_set *bset)
{
- int i;
-
- if (!bset)
- goto error;
-
- isl_assert(bset->ctx, first + n <= bset->dim, goto error);
-
- if (n == 0)
- return bset;
-
- bset = isl_basic_set_cow(bset);
- if (!bset)
- return NULL;
-
- for (i = 0; i < bset->n_eq; ++i)
- constraint_drop_vars(bset->eq[i]+1+bset->nparam+first, n,
- (bset->dim-first-n)+bset->extra);
+ return (struct isl_basic_set *)
+ isl_basic_map_set_to_empty((struct isl_basic_map *)bset);
+}
- for (i = 0; i < bset->n_ineq; ++i)
- constraint_drop_vars(bset->ineq[i]+1+bset->nparam+first, n,
- (bset->dim-first-n)+bset->extra);
+static void swap_div(struct isl_basic_map *bmap, int a, int b)
+{
+ int i;
+ unsigned off = isl_dim_total(bmap->dim);
+ isl_int *t = bmap->div[a];
+ bmap->div[a] = bmap->div[b];
+ bmap->div[b] = t;
- for (i = 0; i < bset->n_div; ++i)
- constraint_drop_vars(bset->div[i]+1+1+bset->nparam+first, n,
- (bset->dim-first-n)+bset->extra);
+ for (i = 0; i < bmap->n_eq; ++i)
+ isl_int_swap(bmap->eq[i][1+off+a], bmap->eq[i][1+off+b]);
- bset->dim -= n;
- bset->extra += n;
+ for (i = 0; i < bmap->n_ineq; ++i)
+ isl_int_swap(bmap->ineq[i][1+off+a], bmap->ineq[i][1+off+b]);
- return isl_basic_set_finalize(bset);
-error:
- isl_basic_set_free(bset);
- return NULL;
+ for (i = 0; i < bmap->n_div; ++i)
+ isl_int_swap(bmap->div[i][1+1+off+a], bmap->div[i][1+1+off+b]);
+ F_CLR(bmap, ISL_BASIC_MAP_NORMALIZED);
}
-struct isl_set *isl_set_drop_vars(
- struct isl_set *set, unsigned first, unsigned n)
+/* Eliminate the specified n dimensions starting at first from the
+ * constraints using Fourier-Motzkin, The dimensions themselves
+ * are not removed.
+ */
+struct isl_set *isl_set_eliminate_dims(struct isl_set *set,
+ unsigned first, unsigned n)
{
int i;
+ unsigned nparam;
if (!set)
- goto error;
-
- isl_assert(set->ctx, first + n <= set->dim, goto error);
-
+ return NULL;
if (n == 0)
return set;
+
set = isl_set_cow(set);
if (!set)
- goto error;
-
+ return NULL;
+ isl_assert(set->ctx, first+n <= isl_set_n_dim(set), goto error);
+ nparam = isl_set_n_param(set);
+
for (i = 0; i < set->n; ++i) {
- set->p[i] = isl_basic_set_drop_vars(set->p[i], first, n);
+ set->p[i] = isl_basic_set_eliminate_vars(set->p[i],
+ nparam + first, n);
if (!set->p[i])
goto error;
}
- set->dim -= n;
-
return set;
error:
isl_set_free(set);
return NULL;
}
-/*
- * We don't cow, as the div is assumed to be redundant.
- */
-static struct isl_basic_map *isl_basic_map_drop_div(
- struct isl_basic_map *bmap, unsigned div)
+/* Project out n dimensions starting at first using Fourier-Motzkin */
+struct isl_set *isl_set_remove_dims(struct isl_set *set,
+ unsigned first, unsigned n)
{
- int i;
- unsigned pos;
-
- if (!bmap)
- goto error;
-
- pos = 1 + bmap->nparam + bmap->n_in + bmap->n_out + div;
-
- isl_assert(bmap->ctx, div < bmap->n_div, goto error);
-
- for (i = 0; i < bmap->n_eq; ++i)
- constraint_drop_vars(bmap->eq[i]+pos, 1, bmap->extra-div-1);
-
- for (i = 0; i < bmap->n_ineq; ++i) {
- if (!isl_int_is_zero(bmap->ineq[i][pos])) {
- isl_basic_map_drop_inequality(bmap, i);
- --i;
- continue;
- }
- constraint_drop_vars(bmap->ineq[i]+pos, 1, bmap->extra-div-1);
- }
+ set = isl_set_eliminate_dims(set, first, n);
+ set = isl_set_drop_dims(set, first, n);
+ return set;
+}
- for (i = 0; i < bmap->n_div; ++i)
- constraint_drop_vars(bmap->div[i]+1+pos, 1, bmap->extra-div-1);
+struct isl_basic_set *isl_basic_set_remove_divs(struct isl_basic_set *bset)
+{
+ bset = isl_basic_set_eliminate_vars(bset, isl_dim_total(bset->dim),
+ bset->n_div);
+ if (!bset)
+ return NULL;
+ bset->n_div = 0;
+ return bset;
+}
- if (div != bmap->n_div - 1) {
- int j;
- isl_int *t = bmap->div[div];
+struct isl_set *isl_set_remove_divs(struct isl_set *set)
+{
+ int i;
- for (j = div; j < bmap->n_div - 1; ++j)
- bmap->div[j] = bmap->div[j+1];
+ if (!set)
+ return NULL;
+ if (set->n == 0)
+ return set;
- bmap->div[bmap->n_div - 1] = t;
+ set = isl_set_cow(set);
+ if (!set)
+ return NULL;
+
+ for (i = 0; i < set->n; ++i) {
+ set->p[i] = isl_basic_set_remove_divs(set->p[i]);
+ if (!set->p[i])
+ goto error;
}
- isl_basic_map_free_div(bmap, 1);
+ return set;
+error:
+ isl_set_free(set);
+ return NULL;
+}
+struct isl_basic_map *isl_basic_map_remove(struct isl_basic_map *bmap,
+ enum isl_dim_type type, unsigned first, unsigned n)
+{
+ if (!bmap)
+ return NULL;
+ isl_assert(bmap->ctx, first + n <= isl_basic_map_dim(bmap, type),
+ goto error);
+ if (n == 0)
+ return bmap;
+ bmap = isl_basic_map_eliminate_vars(bmap,
+ isl_basic_map_offset(bmap, type) - 1 + first, n);
+ bmap = isl_basic_map_drop(bmap, type, first, n);
return bmap;
error:
isl_basic_map_free(bmap);
return NULL;
}
-static void eliminate_div(struct isl_basic_map *bmap, isl_int *eq, unsigned div)
+struct isl_map *isl_map_remove(struct isl_map *map,
+ enum isl_dim_type type, unsigned first, unsigned n)
{
int i;
- unsigned pos = 1 + bmap->nparam + bmap->n_in + bmap->n_out + div;
- unsigned len;
- len = 1 + bmap->nparam + bmap->n_in + bmap->n_out + bmap->n_div;
+ unsigned nparam;
- for (i = 0; i < bmap->n_eq; ++i)
- if (bmap->eq[i] != eq)
- isl_seq_elim(bmap->eq[i], eq, pos, len, NULL);
-
- for (i = 0; i < bmap->n_ineq; ++i)
- isl_seq_elim(bmap->ineq[i], eq, pos, len, NULL);
-
- /* We need to be careful about circular definitions,
- * so for now we just remove the definitions of other divs that
- * depend on this div and (possibly) recompute them later.
- */
- for (i = 0; i < bmap->n_div; ++i)
- if (!isl_int_is_zero(bmap->div[i][0]) &&
- !isl_int_is_zero(bmap->div[i][1 + pos]))
- isl_seq_clr(bmap->div[i], 1 + len);
-
- isl_basic_map_drop_div(bmap, div);
-}
+ if (n == 0)
+ return map;
-struct isl_basic_map *isl_basic_map_set_to_empty(struct isl_basic_map *bmap)
-{
- int i = 0;
- unsigned total;
- if (!bmap)
- goto error;
- total = bmap->nparam + bmap->n_in + bmap->n_out + bmap->extra;
- isl_basic_map_free_div(bmap, bmap->n_div);
- isl_basic_map_free_inequality(bmap, bmap->n_ineq);
- if (bmap->n_eq > 0)
- isl_basic_map_free_equality(bmap, bmap->n_eq-1);
- else {
- isl_basic_map_alloc_equality(bmap);
- if (i < 0)
+ map = isl_map_cow(map);
+ if (!map)
+ return NULL;
+ isl_assert(map->ctx, first + n <= isl_map_dim(map, type), goto error);
+
+ for (i = 0; i < map->n; ++i) {
+ map->p[i] = isl_basic_map_eliminate_vars(map->p[i],
+ isl_basic_map_offset(map->p[i], type) - 1 + first, n);
+ if (!map->p[i])
goto error;
}
- isl_int_set_si(bmap->eq[i][0], 1);
- isl_seq_clr(bmap->eq[i]+1, total);
- F_SET(bmap, ISL_BASIC_MAP_EMPTY);
- return isl_basic_map_finalize(bmap);
+ map = isl_map_drop(map, type, first, n);
+ return map;
error:
- isl_basic_map_free(bmap);
+ isl_map_free(map);
return NULL;
}
-struct isl_basic_set *isl_basic_set_set_to_empty(struct isl_basic_set *bset)
+/* Project out n inputs starting at first using Fourier-Motzkin */
+struct isl_map *isl_map_remove_inputs(struct isl_map *map,
+ unsigned first, unsigned n)
{
- return (struct isl_basic_set *)
- isl_basic_map_set_to_empty((struct isl_basic_map *)bset);
+ return isl_map_remove(map, isl_dim_in, first, n);
}
-static void swap_equality(struct isl_basic_map *bmap, int a, int b)
+/* Project out n dimensions starting at first using Fourier-Motzkin */
+struct isl_basic_set *isl_basic_set_remove_dims(struct isl_basic_set *bset,
+ unsigned first, unsigned n)
{
- isl_int *t = bmap->eq[a];
- bmap->eq[a] = bmap->eq[b];
- bmap->eq[b] = t;
+ unsigned nparam = isl_basic_set_n_param(bset);
+ bset = isl_basic_set_eliminate_vars(bset, nparam + first, n);
+ bset = isl_basic_set_drop_dims(bset, first, n);
+ return bset;
}
-static void swap_inequality(struct isl_basic_map *bmap, int a, int b)
+static void dump_term(struct isl_basic_map *bmap,
+ isl_int c, int pos, FILE *out)
{
- isl_int *t = bmap->ineq[a];
- bmap->ineq[a] = bmap->ineq[b];
- bmap->ineq[b] = t;
+ const char *name;
+ unsigned in = isl_basic_map_n_in(bmap);
+ unsigned dim = in + isl_basic_map_n_out(bmap);
+ unsigned nparam = isl_basic_map_n_param(bmap);
+ if (!pos)
+ isl_int_print(out, c, 0);
+ else {
+ if (!isl_int_is_one(c))
+ isl_int_print(out, c, 0);
+ if (pos < 1 + nparam) {
+ name = isl_dim_get_name(bmap->dim,
+ isl_dim_param, pos - 1);
+ if (name)
+ fprintf(out, "%s", name);
+ else
+ fprintf(out, "p%d", pos - 1);
+ } else if (pos < 1 + nparam + in)
+ fprintf(out, "i%d", pos - 1 - nparam);
+ else if (pos < 1 + nparam + dim)
+ fprintf(out, "o%d", pos - 1 - nparam - in);
+ else
+ fprintf(out, "e%d", pos - 1 - nparam - dim);
+ }
}
-static void swap_div(struct isl_basic_map *bmap, int a, int b)
+static void dump_constraint_sign(struct isl_basic_map *bmap, isl_int *c,
+ int sign, FILE *out)
{
int i;
- unsigned off = bmap->nparam + bmap->n_in + bmap->n_out;
- isl_int *t = bmap->div[a];
- bmap->div[a] = bmap->div[b];
- bmap->div[b] = t;
-
- for (i = 0; i < bmap->n_eq; ++i)
- isl_int_swap(bmap->eq[i][1+off+a], bmap->eq[i][1+off+b]);
-
- for (i = 0; i < bmap->n_ineq; ++i)
- isl_int_swap(bmap->ineq[i][1+off+a], bmap->ineq[i][1+off+b]);
+ int first;
+ unsigned len = 1 + isl_basic_map_total_dim(bmap);
+ isl_int v;
- for (i = 0; i < bmap->n_div; ++i)
- isl_int_swap(bmap->div[i][1+1+off+a], bmap->div[i][1+1+off+b]);
+ isl_int_init(v);
+ for (i = 0, first = 1; i < len; ++i) {
+ if (isl_int_sgn(c[i]) * sign <= 0)
+ continue;
+ if (!first)
+ fprintf(out, " + ");
+ first = 0;
+ isl_int_abs(v, c[i]);
+ dump_term(bmap, v, i, out);
+ }
+ isl_int_clear(v);
+ if (first)
+ fprintf(out, "0");
}
-struct isl_basic_map *isl_basic_map_gauss(
- struct isl_basic_map *bmap, int *progress)
+static void dump_constraint(struct isl_basic_map *bmap, isl_int *c,
+ const char *op, FILE *out, int indent)
{
- int k;
- int done;
- int last_var;
- unsigned total_var;
- unsigned total;
-
- if (!bmap)
- return NULL;
-
- total_var = bmap->nparam + bmap->n_in + bmap->n_out;
- total = total_var + bmap->n_div;
+ int i;
- last_var = total - 1;
- for (done = 0; done < bmap->n_eq; ++done) {
- for (; last_var >= 0; --last_var) {
- for (k = done; k < bmap->n_eq; ++k)
- if (!isl_int_is_zero(bmap->eq[k][1+last_var]))
- break;
- if (k < bmap->n_eq)
- break;
- }
- if (last_var < 0)
- break;
- if (k != done)
- swap_equality(bmap, k, done);
- if (isl_int_is_neg(bmap->eq[done][1+last_var]))
- isl_seq_neg(bmap->eq[done], bmap->eq[done], 1+total);
-
- for (k = 0; k < bmap->n_eq; ++k) {
- if (k == done)
- continue;
- if (isl_int_is_zero(bmap->eq[k][1+last_var]))
- continue;
- if (progress)
- *progress = 1;
- isl_seq_elim(bmap->eq[k], bmap->eq[done],
- 1+last_var, 1+total, NULL);
- }
+ fprintf(out, "%*s", indent, "");
- for (k = 0; k < bmap->n_ineq; ++k) {
- if (isl_int_is_zero(bmap->ineq[k][1+last_var]))
- continue;
- if (progress)
- *progress = 1;
- isl_seq_elim(bmap->ineq[k], bmap->eq[done],
- 1+last_var, 1+total, NULL);
- }
+ dump_constraint_sign(bmap, c, 1, out);
+ fprintf(out, " %s ", op);
+ dump_constraint_sign(bmap, c, -1, out);
- for (k = 0; k < bmap->n_div; ++k) {
- if (isl_int_is_zero(bmap->div[k][0]))
- continue;
- if (isl_int_is_zero(bmap->div[k][1+1+last_var]))
- continue;
- if (progress)
- *progress = 1;
- isl_seq_elim(bmap->div[k]+1, bmap->eq[done],
- 1+last_var, 1+total, &bmap->div[k][0]);
- }
+ fprintf(out, "\n");
- if (last_var >= total_var &&
- isl_int_is_zero(bmap->div[last_var - total_var][0])) {
- unsigned div = last_var - total_var;
- isl_seq_neg(bmap->div[div]+1, bmap->eq[done], 1+total);
- isl_int_set_si(bmap->div[div][1+1+last_var], 0);
- isl_int_set(bmap->div[div][0],
- bmap->eq[done][1+last_var]);
- }
- }
- if (done == bmap->n_eq)
- return bmap;
- for (k = done; k < bmap->n_eq; ++k) {
- if (isl_int_is_zero(bmap->eq[k][0]))
+ for (i = bmap->n_div; i < bmap->extra; ++i) {
+ if (isl_int_is_zero(c[1+isl_dim_total(bmap->dim)+i]))
continue;
- return isl_basic_map_set_to_empty(bmap);
+ fprintf(out, "%*s", indent, "");
+ fprintf(out, "ERROR: unused div coefficient not zero\n");
+ abort();
}
- isl_basic_map_free_equality(bmap, bmap->n_eq-done);
- return bmap;
}
-struct isl_basic_set *isl_basic_set_gauss(
- struct isl_basic_set *bset, int *progress)
+static void dump_constraints(struct isl_basic_map *bmap,
+ isl_int **c, unsigned n,
+ const char *op, FILE *out, int indent)
{
- return (struct isl_basic_set*)isl_basic_map_gauss(
- (struct isl_basic_map *)bset, progress);
+ int i;
+
+ for (i = 0; i < n; ++i)
+ dump_constraint(bmap, c[i], op, out, indent);
}
-static unsigned int round_up(unsigned int v)
+static void dump_affine(struct isl_basic_map *bmap, isl_int *exp, FILE *out)
{
- int old_v = v;
+ int j;
+ int first = 1;
+ unsigned total = isl_basic_map_total_dim(bmap);
- while (v) {
- old_v = v;
- v ^= v & -v;
+ for (j = 0; j < 1 + total; ++j) {
+ if (isl_int_is_zero(exp[j]))
+ continue;
+ if (!first && isl_int_is_pos(exp[j]))
+ fprintf(out, "+");
+ dump_term(bmap, exp[j], j, out);
+ first = 0;
}
- return old_v << 1;
-}
-
-static int hash_index(int *index, unsigned int size, int bits,
- struct isl_basic_map *bmap, int k)
-{
- int h;
- unsigned total = bmap->nparam + bmap->n_in + bmap->n_out + bmap->n_div;
- u_int32_t hash = isl_seq_hash(bmap->ineq[k]+1, total, bits);
- for (h = hash; index[h]; h = (h+1) % size)
- if (k != index[h]-1 &&
- isl_seq_eq(bmap->ineq[k]+1,
- bmap->ineq[index[h]-1]+1, total))
- break;
- return h;
}
-static struct isl_basic_map *remove_duplicate_constraints(
- struct isl_basic_map *bmap, int *progress)
+static void dump(struct isl_basic_map *bmap, FILE *out, int indent)
{
- unsigned int size;
- int *index;
- int k, l, h;
- int bits;
- unsigned total = bmap->nparam + bmap->n_in + bmap->n_out + bmap->n_div;
- isl_int sum;
-
- if (bmap->n_ineq <= 1)
- return bmap;
+ int i;
- size = round_up(4 * (bmap->n_ineq+1) / 3 - 1);
- bits = ffs(size) - 1;
- index = isl_alloc_array(ctx, int, size);
- memset(index, 0, size * sizeof(int));
- if (!index)
- return bmap;
+ dump_constraints(bmap, bmap->eq, bmap->n_eq, "=", out, indent);
+ dump_constraints(bmap, bmap->ineq, bmap->n_ineq, ">=", out, indent);
- index[isl_seq_hash(bmap->ineq[0]+1, total, bits)] = 1;
- for (k = 1; k < bmap->n_ineq; ++k) {
- h = hash_index(index, size, bits, bmap, k);
- if (!index[h]) {
- index[h] = k+1;
- continue;
- }
- *progress = 1;
- l = index[h] - 1;
- if (isl_int_lt(bmap->ineq[k][0], bmap->ineq[l][0]))
- swap_inequality(bmap, k, l);
- isl_basic_map_drop_inequality(bmap, k);
- --k;
- }
- isl_int_init(sum);
- for (k = 0; k < bmap->n_ineq-1; ++k) {
- isl_seq_neg(bmap->ineq[k]+1, bmap->ineq[k]+1, total);
- h = hash_index(index, size, bits, bmap, k);
- isl_seq_neg(bmap->ineq[k]+1, bmap->ineq[k]+1, total);
- if (!index[h])
- continue;
- l = index[h] - 1;
- isl_int_add(sum, bmap->ineq[k][0], bmap->ineq[l][0]);
- if (isl_int_is_pos(sum))
- continue;
- if (isl_int_is_zero(sum)) {
- /* We need to break out of the loop after these
- * changes since the contents of the hash
- * will no longer be valid.
- * Plus, we probably we want to regauss first.
- */
- isl_basic_map_drop_inequality(bmap, l);
- isl_basic_map_inequality_to_equality(bmap, k);
- } else
- bmap = isl_basic_map_set_to_empty(bmap);
- break;
- }
- isl_int_clear(sum);
-
- free(index);
- return bmap;
+ for (i = 0; i < bmap->n_div; ++i) {
+ fprintf(out, "%*s", indent, "");
+ fprintf(out, "e%d = [(", i);
+ dump_affine(bmap, bmap->div[i]+1, out);
+ fprintf(out, ")/");
+ isl_int_print(out, bmap->div[i][0], 0);
+ fprintf(out, "]\n");
+ }
}
-static struct isl_basic_map *remove_duplicate_divs(
- struct isl_basic_map *bmap, int *progress)
+void isl_basic_set_dump(struct isl_basic_set *bset, FILE *out, int indent)
{
- unsigned int size;
- int *index;
- int k, l, h;
- int bits;
- struct isl_blk eq;
- unsigned total_var = bmap->nparam + bmap->n_in + bmap->n_out;
- unsigned total = total_var + bmap->n_div;
- struct isl_ctx *ctx;
-
- if (bmap->n_div <= 1)
- return bmap;
-
- ctx = bmap->ctx;
- for (k = bmap->n_div - 1; k >= 0; --k)
- if (!isl_int_is_zero(bmap->div[k][0]))
- break;
- if (k <= 0)
- return bmap;
-
- size = round_up(4 * bmap->n_div / 3 - 1);
- bits = ffs(size) - 1;
- index = isl_alloc_array(ctx, int, size);
- memset(index, 0, size * sizeof(int));
- if (!index)
- return bmap;
- eq = isl_blk_alloc(ctx, 1+total);
- if (isl_blk_is_error(eq))
- goto out;
-
- isl_seq_clr(eq.data, 1+total);
- index[isl_seq_hash(bmap->div[k], 2+total, bits)] = k + 1;
- for (--k; k >= 0; --k) {
- u_int32_t hash;
+ if (!bset) {
+ fprintf(out, "null basic set\n");
+ return;
+ }
- if (isl_int_is_zero(bmap->div[k][0]))
- continue;
+ fprintf(out, "%*s", indent, "");
+ fprintf(out, "ref: %d, nparam: %d, dim: %d, extra: %d, flags: %x\n",
+ bset->ref, bset->dim->nparam, bset->dim->n_out,
+ bset->extra, bset->flags);
+ dump((struct isl_basic_map *)bset, out, indent);
+}
- hash = isl_seq_hash(bmap->div[k], 2+total, bits);
- for (h = hash; index[h]; h = (h+1) % size)
- if (isl_seq_eq(bmap->div[k],
- bmap->div[index[h]-1], 2+total))
- break;
- if (index[h]) {
- *progress = 1;
- l = index[h] - 1;
- isl_int_set_si(eq.data[1+total_var+k], -1);
- isl_int_set_si(eq.data[1+total_var+l], 1);
- eliminate_div(bmap, eq.data, l);
- isl_int_set_si(eq.data[1+total_var+k], 0);
- isl_int_set_si(eq.data[1+total_var+l], 0);
- }
- index[h] = k+1;
+void isl_basic_map_dump(struct isl_basic_map *bmap, FILE *out, int indent)
+{
+ if (!bmap) {
+ fprintf(out, "null basic map\n");
+ return;
}
- isl_blk_free(ctx, eq);
-out:
- free(index);
- return bmap;
+ fprintf(out, "%*s", indent, "");
+ fprintf(out, "ref: %d, nparam: %d, in: %d, out: %d, extra: %d, "
+ "flags: %x, n_name: %d\n",
+ bmap->ref,
+ bmap->dim->nparam, bmap->dim->n_in, bmap->dim->n_out,
+ bmap->extra, bmap->flags, bmap->dim->n_name);
+ dump(bmap, out, indent);
}
-/* Elimininate divs based on equalities
- */
-static struct isl_basic_map *eliminate_divs_eq(
- struct isl_basic_map *bmap, int *progress)
+int isl_inequality_negate(struct isl_basic_map *bmap, unsigned pos)
{
- int d;
- int i;
- int modified = 0;
- unsigned off;
-
+ unsigned total;
if (!bmap)
- return NULL;
-
- off = 1 + bmap->nparam + bmap->n_in + bmap->n_out;
-
- for (d = bmap->n_div - 1; d >= 0 ; --d) {
- for (i = 0; i < bmap->n_eq; ++i) {
- if (!isl_int_is_one(bmap->eq[i][off + d]) &&
- !isl_int_is_negone(bmap->eq[i][off + d]))
- continue;
- modified = 1;
- *progress = 1;
- eliminate_div(bmap, bmap->eq[i], d);
- isl_basic_map_drop_equality(bmap, i);
- break;
- }
- }
- if (modified)
- return eliminate_divs_eq(bmap, progress);
- return bmap;
+ return -1;
+ total = isl_basic_map_total_dim(bmap);
+ isl_assert(bmap->ctx, pos < bmap->n_ineq, return -1);
+ isl_seq_neg(bmap->ineq[pos], bmap->ineq[pos], 1 + total);
+ isl_int_sub_ui(bmap->ineq[pos][0], bmap->ineq[pos][0], 1);
+ F_CLR(bmap, ISL_BASIC_MAP_NORMALIZED);
+ return 0;
}
-static struct isl_basic_map *normalize_constraints(struct isl_basic_map *bmap)
+struct isl_set *isl_set_alloc_dim(struct isl_dim *dim, int n, unsigned flags)
{
- int i;
- isl_int gcd;
- unsigned total = bmap->nparam + bmap->n_in + bmap->n_out + bmap->n_div;
+ struct isl_set *set;
- isl_int_init(gcd);
- for (i = bmap->n_eq - 1; i >= 0; --i) {
- isl_seq_gcd(bmap->eq[i]+1, total, &gcd);
- if (isl_int_is_zero(gcd)) {
- if (!isl_int_is_zero(bmap->eq[i][0])) {
- bmap = isl_basic_map_set_to_empty(bmap);
- break;
- }
- isl_basic_map_drop_equality(bmap, i);
- continue;
- }
- if (F_ISSET(bmap, ISL_BASIC_MAP_RATIONAL))
- isl_int_gcd(gcd, gcd, bmap->eq[i][0]);
- if (isl_int_is_one(gcd))
- continue;
- if (!isl_int_is_divisible_by(bmap->eq[i][0], gcd)) {
- bmap = isl_basic_map_set_to_empty(bmap);
- break;
- }
- isl_seq_scale_down(bmap->eq[i], bmap->eq[i], gcd, 1+total);
- }
-
- for (i = bmap->n_ineq - 1; i >= 0; --i) {
- isl_seq_gcd(bmap->ineq[i]+1, total, &gcd);
- if (isl_int_is_zero(gcd)) {
- if (isl_int_is_neg(bmap->ineq[i][0])) {
- bmap = isl_basic_map_set_to_empty(bmap);
- break;
- }
- isl_basic_map_drop_inequality(bmap, i);
- continue;
- }
- if (F_ISSET(bmap, ISL_BASIC_MAP_RATIONAL))
- isl_int_gcd(gcd, gcd, bmap->ineq[i][0]);
- if (isl_int_is_one(gcd))
- continue;
- isl_int_fdiv_q(bmap->ineq[i][0], bmap->ineq[i][0], gcd);
- isl_seq_scale_down(bmap->ineq[i]+1, bmap->ineq[i]+1, gcd, total);
- }
- isl_int_clear(gcd);
-
- return bmap;
-}
-
-
-/* Eliminate the specified variables from the constraints using
- * Fourier-Motzkin. The variables themselves are not removed.
- */
-struct isl_basic_map *isl_basic_map_eliminate_vars(
- struct isl_basic_map *bmap, int pos, unsigned n)
-{
- int d;
- int i, j, k;
- unsigned total;
- unsigned extra;
-
- if (!bmap)
+ if (!dim)
return NULL;
- total = bmap->nparam + bmap->n_in + bmap->n_out + bmap->n_div;
- extra = bmap->extra - bmap->n_div;
+ isl_assert(dim->ctx, dim->n_in == 0, return NULL);
+ isl_assert(dim->ctx, n >= 0, return NULL);
+ set = isl_alloc(dim->ctx, struct isl_set,
+ sizeof(struct isl_set) +
+ n * sizeof(struct isl_basic_set *));
+ if (!set)
+ goto error;
- bmap = isl_basic_map_cow(bmap);
- bmap = isl_basic_map_gauss(bmap, NULL);
- for (d = pos + n - 1; d >= pos; --d) {
- int n_lower, n_upper;
- if (!bmap)
- return NULL;
- for (i = 0; i < bmap->n_eq; ++i) {
- if (isl_int_is_zero(bmap->eq[i][1+d]))
- continue;
- isl_basic_map_drop_equality(bmap, i);
- break;
- }
- if (i < bmap->n_eq)
- continue;
- n_lower = 0;
- n_upper = 0;
- for (i = 0; i < bmap->n_ineq; ++i) {
- if (isl_int_is_pos(bmap->ineq[i][1+d]))
- n_lower++;
- else if (isl_int_is_neg(bmap->ineq[i][1+d]))
- n_upper++;
- }
- bmap = isl_basic_map_extend(bmap,
- bmap->nparam, bmap->n_in, bmap->n_out, 0,
- 0, n_lower * n_upper);
- for (i = bmap->n_ineq - 1; i >= 0; --i) {
- int last;
- if (isl_int_is_zero(bmap->ineq[i][1+d]))
- continue;
- last = -1;
- for (j = 0; j < i; ++j) {
- if (isl_int_is_zero(bmap->ineq[j][1+d]))
- continue;
- last = j;
- if (isl_int_sgn(bmap->ineq[i][1+d]) ==
- isl_int_sgn(bmap->ineq[j][1+d]))
- continue;
- k = isl_basic_map_alloc_inequality(bmap);
- if (k < 0)
- goto error;
- isl_seq_cpy(bmap->ineq[k], bmap->ineq[i],
- 1+total);
- isl_seq_clr(bmap->ineq[k]+1+total, extra);
- isl_seq_elim(bmap->ineq[k], bmap->ineq[j],
- 1+d, 1+total, NULL);
- }
- isl_basic_map_drop_inequality(bmap, i);
- i = last + 1;
- }
- if (n_lower > 0 && n_upper > 0) {
- bmap = normalize_constraints(bmap);
- bmap = isl_basic_map_gauss(bmap, NULL);
- if (F_ISSET(bmap, ISL_BASIC_MAP_EMPTY))
- break;
- }
- }
- return bmap;
+ set->ctx = dim->ctx;
+ isl_ctx_ref(set->ctx);
+ set->ref = 1;
+ set->size = n;
+ set->n = 0;
+ set->dim = dim;
+ set->flags = flags;
+ return set;
error:
- isl_basic_map_free(bmap);
+ isl_dim_free(dim);
return NULL;
}
-struct isl_basic_set *isl_basic_set_eliminate_vars(
- struct isl_basic_set *bset, unsigned pos, unsigned n)
-{
- return (struct isl_basic_set *)isl_basic_map_eliminate_vars(
- (struct isl_basic_map *)bset, pos, n);
-}
-
-/* Elimininate divs based on inequalities
- */
-static struct isl_basic_map *eliminate_divs_ineq(
- struct isl_basic_map *bmap, int *progress)
-{
- int d;
- int i;
- unsigned off;
- struct isl_ctx *ctx;
-
- if (!bmap)
- return NULL;
-
- ctx = bmap->ctx;
- off = 1 + bmap->nparam + bmap->n_in + bmap->n_out;
-
- for (d = bmap->n_div - 1; d >= 0 ; --d) {
- for (i = 0; i < bmap->n_eq; ++i)
- if (!isl_int_is_zero(bmap->eq[i][off + d]))
- break;
- if (i < bmap->n_eq)
- continue;
- for (i = 0; i < bmap->n_ineq; ++i)
- if (isl_int_abs_gt(bmap->ineq[i][off + d], ctx->one))
- break;
- if (i < bmap->n_ineq)
- continue;
- *progress = 1;
- bmap = isl_basic_map_eliminate_vars(bmap, (off-1)+d, 1);
- if (F_ISSET(bmap, ISL_BASIC_MAP_EMPTY))
- break;
- bmap = isl_basic_map_drop_div(bmap, d);
- if (!bmap)
- break;
- }
- return bmap;
-}
-
-struct isl_basic_map *isl_basic_map_simplify(struct isl_basic_map *bmap)
-{
- int progress = 1;
- if (!bmap)
- return NULL;
- while (progress) {
- progress = 0;
- bmap = normalize_constraints(bmap);
- bmap = eliminate_divs_eq(bmap, &progress);
- bmap = eliminate_divs_ineq(bmap, &progress);
- bmap = isl_basic_map_gauss(bmap, &progress);
- bmap = remove_duplicate_divs(bmap, &progress);
- bmap = remove_duplicate_constraints(bmap, &progress);
- }
- return bmap;
-}
-
-struct isl_basic_set *isl_basic_set_simplify(struct isl_basic_set *bset)
-{
- return (struct isl_basic_set *)
- isl_basic_map_simplify((struct isl_basic_map *)bset);
-}
-
-static void dump_term(struct isl_basic_map *bmap,
- isl_int c, int pos, FILE *out)
-{
- unsigned in = bmap->n_in;
- unsigned dim = bmap->n_in + bmap->n_out;
- if (!pos)
- isl_int_print(out, c);
- else {
- if (!isl_int_is_one(c))
- isl_int_print(out, c);
- if (pos < 1 + bmap->nparam)
- fprintf(out, "p%d", pos - 1);
- else if (pos < 1 + bmap->nparam + in)
- fprintf(out, "i%d", pos - 1 - bmap->nparam);
- else if (pos < 1 + bmap->nparam + dim)
- fprintf(out, "o%d", pos - 1 - bmap->nparam - in);
- else
- fprintf(out, "e%d", pos - 1 - bmap->nparam - dim);
- }
-}
-
-static void dump_constraint_sign(struct isl_basic_map *bmap, isl_int *c,
- int sign, FILE *out)
-{
- int i;
- int first;
- unsigned len = 1 + bmap->nparam + bmap->n_in + bmap->n_out + bmap->n_div;
- isl_int v;
-
- isl_int_init(v);
- for (i = 0, first = 1; i < len; ++i) {
- if (isl_int_sgn(c[i]) * sign <= 0)
- continue;
- if (!first)
- fprintf(out, " + ");
- first = 0;
- isl_int_abs(v, c[i]);
- dump_term(bmap, v, i, out);
- }
- isl_int_clear(v);
- if (first)
- fprintf(out, "0");
-}
-
-static void dump_constraint(struct isl_basic_map *bmap, isl_int *c,
- const char *op, FILE *out, int indent)
-{
- int i;
-
- fprintf(out, "%*s", indent, "");
-
- dump_constraint_sign(bmap, c, 1, out);
- fprintf(out, " %s ", op);
- dump_constraint_sign(bmap, c, -1, out);
-
- fprintf(out, "\n");
-
- for (i = bmap->n_div; i < bmap->extra; ++i) {
- if (isl_int_is_zero(c[1+bmap->nparam+bmap->n_in+bmap->n_out+i]))
- continue;
- fprintf(out, "%*s", indent, "");
- fprintf(out, "ERROR: unused div coefficient not zero\n");
- }
-}
-
-static void dump_constraints(struct isl_basic_map *bmap,
- isl_int **c, unsigned n,
- const char *op, FILE *out, int indent)
-{
- int i;
-
- for (i = 0; i < n; ++i)
- dump_constraint(bmap, c[i], op, out, indent);
-}
-
-static void dump_affine(struct isl_basic_map *bmap, isl_int *exp, FILE *out)
-{
- int j;
- int first = 1;
- unsigned total = bmap->nparam + bmap->n_in + bmap->n_out + bmap->n_div;
-
- for (j = 0; j < 1 + total; ++j) {
- if (isl_int_is_zero(exp[j]))
- continue;
- if (!first && isl_int_is_pos(exp[j]))
- fprintf(out, "+");
- dump_term(bmap, exp[j], j, out);
- first = 0;
- }
-}
-
-static void dump(struct isl_basic_map *bmap, FILE *out, int indent)
-{
- int i;
-
- dump_constraints(bmap, bmap->eq, bmap->n_eq, "=", out, indent);
- dump_constraints(bmap, bmap->ineq, bmap->n_ineq, ">=", out, indent);
-
- for (i = 0; i < bmap->n_div; ++i) {
- fprintf(out, "%*s", indent, "");
- fprintf(out, "e%d = [(", i);
- dump_affine(bmap, bmap->div[i]+1, out);
- fprintf(out, ")/");
- isl_int_print(out, bmap->div[i][0]);
- fprintf(out, "]\n");
- }
-}
-
-void isl_basic_set_dump(struct isl_basic_set *bset, FILE *out, int indent)
-{
- if (!bset) {
- fprintf(out, "null basic set\n");
- return;
- }
-
- fprintf(out, "%*s", indent, "");
- fprintf(out, "nparam: %d, dim: %d, extra: %d\n",
- bset->nparam, bset->dim, bset->extra);
- dump((struct isl_basic_map *)bset, out, indent);
-}
-
-void isl_basic_map_dump(struct isl_basic_map *bmap, FILE *out, int indent)
-{
- if (!bmap) {
- fprintf(out, "null basic map\n");
- return;
- }
-
- fprintf(out, "%*s", indent, "");
- fprintf(out, "ref: %d, nparam: %d, in: %d, out: %d, extra: %d, flags: %x\n",
- bmap->ref,
- bmap->nparam, bmap->n_in, bmap->n_out, bmap->extra, bmap->flags);
- dump(bmap, out, indent);
-}
-
-int isl_inequality_negate(struct isl_basic_map *bmap, unsigned pos)
-{
- unsigned total = bmap->nparam + bmap->n_in + bmap->n_out + bmap->n_div;
- if (!bmap)
- return -1;
- isl_assert(bmap->ctx, pos < bmap->n_ineq, return -1);
- isl_seq_neg(bmap->ineq[pos], bmap->ineq[pos], 1 + total);
- isl_int_sub_ui(bmap->ineq[pos][0], bmap->ineq[pos][0], 1);
- return 0;
-}
-
struct isl_set *isl_set_alloc(struct isl_ctx *ctx,
unsigned nparam, unsigned dim, int n, unsigned flags)
{
struct isl_set *set;
+ struct isl_dim *dims;
- isl_assert(ctx, n >= 0, return NULL);
- set = isl_alloc(ctx, struct isl_set,
- sizeof(struct isl_set) +
- n * sizeof(struct isl_basic_set *));
- if (!set)
+ dims = isl_dim_alloc(ctx, nparam, 0, dim);
+ if (!dims)
return NULL;
- set->ctx = ctx;
- isl_ctx_ref(ctx);
- set->ref = 1;
- set->size = n;
- set->n = 0;
- set->nparam = nparam;
- set->zero = 0;
- set->dim = dim;
- set->flags = flags;
+ set = isl_set_alloc_dim(dims, n, flags);
return set;
}
if (!set)
return NULL;
- dup = isl_set_alloc(set->ctx, set->nparam, set->dim, set->n, set->flags);
+ dup = isl_set_alloc_dim(isl_dim_copy(set->dim), set->n, set->flags);
if (!dup)
return NULL;
for (i = 0; i < set->n; ++i)
- dup = isl_set_add(dup,
- isl_basic_set_dup(set->p[i]));
+ dup = isl_set_add(dup, isl_basic_set_copy(set->p[i]));
return dup;
}
if (!bset)
return NULL;
- set = isl_set_alloc(bset->ctx, bset->nparam, bset->dim, 1, ISL_MAP_DISJOINT);
+ set = isl_set_alloc_dim(isl_dim_copy(bset->dim), 1, ISL_MAP_DISJOINT);
if (!set) {
isl_basic_set_free(bset);
return NULL;
if (!bmap)
return NULL;
- map = isl_map_alloc(bmap->ctx, bmap->nparam, bmap->n_in, bmap->n_out, 1,
- ISL_MAP_DISJOINT);
+ map = isl_map_alloc_dim(isl_dim_copy(bmap->dim), 1, ISL_MAP_DISJOINT);
if (!map) {
isl_basic_map_free(bmap);
return NULL;
{
if (!bset || !set)
goto error;
- isl_assert(set->ctx, set->nparam == bset->nparam, goto error);
- isl_assert(set->ctx, set->dim == bset->dim, goto error);
+ isl_assert(set->ctx, isl_dim_equal(set->dim, bset->dim), goto error);
isl_assert(set->ctx, set->n < set->size, goto error);
set->p[set->n] = bset;
set->n++;
isl_ctx_deref(set->ctx);
for (i = 0; i < set->n; ++i)
isl_basic_set_free(set->p[i]);
+ isl_dim_free(set->dim);
free(set);
}
fprintf(out, "%*s", indent, "");
fprintf(out, "ref: %d, n: %d, nparam: %d, dim: %d, flags: %x\n",
- set->ref, set->n, set->nparam, set->dim, set->flags);
+ set->ref, set->n, set->dim->nparam, set->dim->n_out,
+ set->flags);
for (i = 0; i < set->n; ++i) {
fprintf(out, "%*s", indent, "");
fprintf(out, "basic set %d:\n", i);
}
fprintf(out, "%*s", indent, "");
- fprintf(out, "ref: %d, n: %d, nparam: %d, in: %d, out: %d, flags: %x\n",
- map->ref, map->n, map->nparam, map->n_in, map->n_out,
- map->flags);
+ fprintf(out, "ref: %d, n: %d, nparam: %d, in: %d, out: %d, "
+ "flags: %x, n_name: %d\n",
+ map->ref, map->n, map->dim->nparam, map->dim->n_in,
+ map->dim->n_out, map->flags, map->dim->n_name);
for (i = 0; i < map->n; ++i) {
fprintf(out, "%*s", indent, "");
fprintf(out, "basic map %d:\n", i);
struct isl_basic_map *bmap, struct isl_basic_set *bset)
{
struct isl_basic_map *bmap_domain;
+ struct isl_dim *dim;
if (!bmap || !bset)
goto error;
- isl_assert(bset->ctx, bset->dim == bmap->n_in, goto error);
- isl_assert(bset->ctx, bset->nparam == bmap->nparam, goto error);
+ isl_assert(bset->ctx, isl_dim_match(bmap->dim, isl_dim_param,
+ bset->dim, isl_dim_param), goto error);
- bmap = isl_basic_map_extend(bmap,
- bset->nparam, bmap->n_in, bmap->n_out,
+ if (isl_dim_size(bset->dim, isl_dim_set) != 0)
+ isl_assert(bset->ctx,
+ isl_basic_map_compatible_domain(bmap, bset), goto error);
+
+ bmap = isl_basic_map_extend_dim(bmap, isl_dim_copy(bmap->dim),
bset->n_div, bset->n_eq, bset->n_ineq);
if (!bmap)
goto error;
- bmap_domain = isl_basic_map_from_basic_set(bset,
- bset->dim, 0);
+ dim = isl_dim_reverse(isl_dim_copy(bset->dim));
+ bmap_domain = isl_basic_map_from_basic_set(bset, dim);
bmap = add_constraints(bmap, bmap_domain, 0, 0);
bmap = isl_basic_map_simplify(bmap);
if (!bmap || !bset)
goto error;
- isl_assert(bset->ctx, bset->dim == bmap->n_out, goto error);
- isl_assert(bset->ctx, bset->nparam == bmap->nparam, goto error);
+ isl_assert(bset->ctx, isl_dim_match(bmap->dim, isl_dim_param,
+ bset->dim, isl_dim_param), goto error);
+
+ if (isl_dim_size(bset->dim, isl_dim_set) != 0)
+ isl_assert(bset->ctx,
+ isl_basic_map_compatible_range(bmap, bset), goto error);
- bmap = isl_basic_map_extend(bmap,
- bset->nparam, bmap->n_in, bmap->n_out,
+ bmap = isl_basic_map_extend_dim(bmap, isl_dim_copy(bmap->dim),
bset->n_div, bset->n_eq, bset->n_ineq);
if (!bmap)
goto error;
- bmap_range = isl_basic_map_from_basic_set(bset,
- 0, bset->dim);
+ bmap_range = isl_basic_map_from_basic_set(bset, isl_dim_copy(bset->dim));
bmap = add_constraints(bmap, bmap_range, 0, 0);
bmap = isl_basic_map_simplify(bmap);
if (!bmap1 || !bmap2)
goto error;
- isl_assert(bmap1->ctx, bmap1->nparam == bmap2->nparam, goto error);
- isl_assert(bmap1->ctx, bmap1->n_in == bmap2->n_in, goto error);
- isl_assert(bmap1->ctx, bmap1->n_out == bmap2->n_out, goto error);
+ isl_assert(bmap1->ctx, isl_dim_match(bmap1->dim, isl_dim_param,
+ bmap2->dim, isl_dim_param), goto error);
+ if (isl_dim_total(bmap1->dim) ==
+ isl_dim_size(bmap1->dim, isl_dim_param) &&
+ isl_dim_total(bmap2->dim) !=
+ isl_dim_size(bmap2->dim, isl_dim_param))
+ return isl_basic_map_intersect(bmap2, bmap1);
- bmap1 = isl_basic_map_extend(bmap1,
- bmap1->nparam, bmap1->n_in, bmap1->n_out,
+ if (isl_dim_total(bmap2->dim) !=
+ isl_dim_size(bmap2->dim, isl_dim_param))
+ isl_assert(bmap1->ctx,
+ isl_dim_equal(bmap1->dim, bmap2->dim), goto error);
+
+ bmap1 = isl_basic_map_extend_dim(bmap1, isl_dim_copy(bmap1->dim),
bmap2->n_div, bmap2->n_eq, bmap2->n_ineq);
if (!bmap1)
goto error;
if (!map1 || !map2)
goto error;
+ isl_assert(map1->ctx, isl_dim_match(map1->dim, isl_dim_param,
+ map2->dim, isl_dim_param), goto error);
+ if (isl_dim_total(map1->dim) ==
+ isl_dim_size(map1->dim, isl_dim_param) &&
+ isl_dim_total(map2->dim) != isl_dim_size(map2->dim, isl_dim_param))
+ return isl_map_intersect(map2, map1);
+
+ if (isl_dim_total(map2->dim) != isl_dim_size(map2->dim, isl_dim_param))
+ isl_assert(map1->ctx,
+ isl_dim_equal(map1->dim, map2->dim), goto error);
+
if (F_ISSET(map1, ISL_MAP_DISJOINT) &&
F_ISSET(map2, ISL_MAP_DISJOINT))
FL_SET(flags, ISL_MAP_DISJOINT);
- result = isl_map_alloc(map1->ctx, map1->nparam, map1->n_in, map1->n_out,
+ result = isl_map_alloc_dim(isl_dim_copy(map1->dim),
map1->n * map2->n, flags);
if (!result)
goto error;
struct isl_basic_map *isl_basic_map_reverse(struct isl_basic_map *bmap)
{
+ struct isl_dim *dim;
struct isl_basic_set *bset;
unsigned in;
bmap = isl_basic_map_cow(bmap);
if (!bmap)
return NULL;
- in = bmap->n_in;
+ dim = isl_dim_reverse(isl_dim_copy(bmap->dim));
+ in = isl_basic_map_n_in(bmap);
bset = isl_basic_set_from_basic_map(bmap);
bset = isl_basic_set_swap_vars(bset, in);
- return isl_basic_map_from_basic_set(bset, bset->dim-in, in);
+ return isl_basic_map_from_basic_set(bset, dim);
}
/* Turn final n dimensions into existentially quantified variables.
if (!bset)
return NULL;
- isl_assert(bset->ctx, n <= bset->dim, goto error);
+ isl_assert(bset->ctx, n <= isl_basic_set_n_dim(bset), goto error);
if (n == 0)
return bset;
bset = isl_basic_set_cow(bset);
- row_size = 1 + bset->nparam + bset->dim + bset->extra;
+ row_size = 1 + isl_dim_total(bset->dim) + bset->extra;
old = bset->block2.data;
bset->block2 = isl_blk_extend(bset->ctx, bset->block2,
(bset->extra + n) * (1 + row_size));
bset->div = new_div;
bset->n_div += n;
bset->extra += n;
- bset->dim -= n;
+ bset->dim = isl_dim_drop_outputs(bset->dim,
+ isl_basic_set_n_dim(bset) - n, n);
+ if (!bset->dim)
+ goto error;
bset = isl_basic_set_simplify(bset);
return isl_basic_set_finalize(bset);
error:
return NULL;
}
+struct isl_basic_map *add_divs(struct isl_basic_map *bmap, unsigned n)
+{
+ int i, j;
+
+ for (i = 0; i < n; ++i) {
+ j = isl_basic_map_alloc_div(bmap);
+ if (j < 0)
+ goto error;
+ isl_seq_clr(bmap->div[j], 1+1+isl_basic_map_total_dim(bmap));
+ }
+ return bmap;
+error:
+ isl_basic_map_free(bmap);
+ return NULL;
+}
+
struct isl_basic_map *isl_basic_map_apply_range(
struct isl_basic_map *bmap1, struct isl_basic_map *bmap2)
{
- struct isl_basic_set *bset;
- unsigned n_in, n_out;
+ struct isl_dim *dim_result = NULL;
+ struct isl_basic_map *bmap;
+ unsigned n_in, n_out, n, nparam, total, pos;
+ struct isl_dim_map *dim_map1, *dim_map2;
if (!bmap1 || !bmap2)
goto error;
- isl_assert(bmap->ctx, bmap1->n_out == bmap2->n_in, goto error);
- isl_assert(bmap->ctx, bmap1->nparam == bmap2->nparam, goto error);
-
- n_in = bmap1->n_in;
- n_out = bmap2->n_out;
-
- bmap2 = isl_basic_map_reverse(bmap2);
- if (!bmap2)
- goto error;
- bmap1 = isl_basic_map_extend(bmap1, bmap1->nparam,
- bmap1->n_in + bmap2->n_in, bmap1->n_out,
- bmap2->extra, bmap2->n_eq, bmap2->n_ineq);
- if (!bmap1)
- goto error;
- bmap1 = add_constraints(bmap1, bmap2, bmap1->n_in - bmap2->n_in, 0);
- bmap1 = isl_basic_map_simplify(bmap1);
- bset = isl_basic_set_from_basic_map(bmap1);
- bset = isl_basic_set_project_out(bset,
- bset->dim - (n_in + n_out), 0);
- return isl_basic_map_from_basic_set(bset, n_in, n_out);
+ dim_result = isl_dim_join(isl_dim_copy(bmap1->dim),
+ isl_dim_copy(bmap2->dim));
+
+ n_in = isl_basic_map_n_in(bmap1);
+ n_out = isl_basic_map_n_out(bmap2);
+ n = isl_basic_map_n_out(bmap1);
+ nparam = isl_basic_map_n_param(bmap1);
+
+ total = nparam + n_in + n_out + bmap1->n_div + bmap2->n_div + n;
+ dim_map1 = isl_dim_map_alloc(bmap1->ctx, total);
+ dim_map2 = isl_dim_map_alloc(bmap1->ctx, total);
+ isl_dim_map_dim(dim_map1, bmap1->dim, isl_dim_param, pos = 0);
+ isl_dim_map_dim(dim_map2, bmap2->dim, isl_dim_param, pos = 0);
+ isl_dim_map_dim(dim_map1, bmap1->dim, isl_dim_in, pos += nparam);
+ isl_dim_map_dim(dim_map2, bmap2->dim, isl_dim_out, pos += n_in);
+ isl_dim_map_div(dim_map1, bmap1, pos += n_out);
+ isl_dim_map_div(dim_map2, bmap2, pos += bmap1->n_div);
+ isl_dim_map_dim(dim_map1, bmap1->dim, isl_dim_out, pos += bmap2->n_div);
+ isl_dim_map_dim(dim_map2, bmap2->dim, isl_dim_in, pos);
+
+ bmap = isl_basic_map_alloc_dim(dim_result,
+ bmap1->n_div + bmap2->n_div + n,
+ bmap1->n_eq + bmap2->n_eq,
+ bmap1->n_ineq + bmap2->n_ineq);
+ bmap = add_constraints_dim_map(bmap, bmap1, dim_map1);
+ bmap = add_constraints_dim_map(bmap, bmap2, dim_map2);
+ bmap = add_divs(bmap, n);
+ bmap = isl_basic_map_simplify(bmap);
+ return isl_basic_map_finalize(bmap);
error:
isl_basic_map_free(bmap1);
isl_basic_map_free(bmap2);
if (!bset || !bmap)
goto error;
- isl_assert(bset->ctx, bset->dim == bmap->n_in, goto error);
+ isl_assert(set->ctx, isl_basic_map_compatible_domain(bmap, bset),
+ goto error);
return (struct isl_basic_set *)
isl_basic_map_apply_range((struct isl_basic_map *)bset, bmap);
if (!bmap1 || !bmap2)
goto error;
- isl_assert(ctx, bmap1->n_in == bmap2->n_in, goto error);
- isl_assert(ctx, bmap1->nparam == bmap2->nparam, goto error);
+ isl_assert(ctx,
+ isl_basic_map_n_in(bmap1) == isl_basic_map_n_in(bmap2), goto error);
+ isl_assert(ctx,
+ isl_basic_map_n_param(bmap1) == isl_basic_map_n_param(bmap2),
+ goto error);
bmap1 = isl_basic_map_reverse(bmap1);
bmap1 = isl_basic_map_apply_range(bmap1, bmap2);
return NULL;
}
-static struct isl_basic_map *var_equal(struct isl_ctx *ctx,
- struct isl_basic_map *bmap, unsigned pos)
+/* Given two basic maps A -> f(A) and B -> g(B), construct a basic map
+ * A \cap B -> f(A) + f(B)
+ */
+struct isl_basic_map *isl_basic_map_sum(
+ struct isl_basic_map *bmap1, struct isl_basic_map *bmap2)
{
+ unsigned n_in, n_out, nparam, total, pos;
+ struct isl_basic_map *bmap = NULL;
+ struct isl_dim_map *dim_map1, *dim_map2;
int i;
- i = isl_basic_map_alloc_equality(bmap);
- if (i < 0)
- goto error;
- isl_seq_clr(bmap->eq[i],
- 1 + bmap->nparam + bmap->n_in + bmap->n_out + bmap->extra);
- isl_int_set_si(bmap->eq[i][1+bmap->nparam+pos], -1);
- isl_int_set_si(bmap->eq[i][1+bmap->nparam+bmap->n_in+pos], 1);
- return isl_basic_map_finalize(bmap);
-error:
- isl_basic_map_free(bmap);
- return NULL;
-}
-static struct isl_basic_map *var_more(struct isl_ctx *ctx,
- struct isl_basic_map *bmap, unsigned pos)
+ if (!bmap1 || !bmap2)
+ goto error;
+
+ isl_assert(bmap1->ctx, isl_dim_equal(bmap1->dim, bmap2->dim),
+ goto error);
+
+ nparam = isl_basic_map_n_param(bmap1);
+ n_in = isl_basic_map_n_in(bmap1);
+ n_out = isl_basic_map_n_out(bmap1);
+
+ total = nparam + n_in + n_out + bmap1->n_div + bmap2->n_div + 2 * n_out;
+ dim_map1 = isl_dim_map_alloc(bmap1->ctx, total);
+ dim_map2 = isl_dim_map_alloc(bmap2->ctx, total);
+ isl_dim_map_dim(dim_map1, bmap1->dim, isl_dim_param, pos = 0);
+ isl_dim_map_dim(dim_map2, bmap2->dim, isl_dim_param, pos);
+ isl_dim_map_dim(dim_map1, bmap1->dim, isl_dim_in, pos += nparam);
+ isl_dim_map_dim(dim_map2, bmap2->dim, isl_dim_in, pos);
+ isl_dim_map_div(dim_map1, bmap1, pos += n_in + n_out);
+ isl_dim_map_div(dim_map2, bmap2, pos += bmap1->n_div);
+ isl_dim_map_dim(dim_map1, bmap1->dim, isl_dim_out, pos += bmap2->n_div);
+ isl_dim_map_dim(dim_map2, bmap2->dim, isl_dim_out, pos += n_out);
+
+ bmap = isl_basic_map_alloc_dim(isl_dim_copy(bmap1->dim),
+ bmap1->n_div + bmap2->n_div + 2 * n_out,
+ bmap1->n_eq + bmap2->n_eq + n_out,
+ bmap1->n_ineq + bmap2->n_ineq);
+ for (i = 0; i < n_out; ++i) {
+ int j = isl_basic_map_alloc_equality(bmap);
+ if (j < 0)
+ goto error;
+ isl_seq_clr(bmap->eq[j], 1+total);
+ isl_int_set_si(bmap->eq[j][1+nparam+n_in+i], -1);
+ isl_int_set_si(bmap->eq[j][1+pos+i], 1);
+ isl_int_set_si(bmap->eq[j][1+pos-n_out+i], 1);
+ }
+ bmap = add_constraints_dim_map(bmap, bmap1, dim_map1);
+ bmap = add_constraints_dim_map(bmap, bmap2, dim_map2);
+ bmap = add_divs(bmap, 2 * n_out);
+
+ bmap = isl_basic_map_simplify(bmap);
+ return isl_basic_map_finalize(bmap);
+error:
+ isl_basic_map_free(bmap);
+ isl_basic_map_free(bmap1);
+ isl_basic_map_free(bmap2);
+ return NULL;
+}
+
+/* Given a basic map A -> f(A), construct A -> -f(A).
+ */
+struct isl_basic_map *isl_basic_map_neg(struct isl_basic_map *bmap)
+{
+ int i, j;
+ unsigned off, n;
+
+ bmap = isl_basic_map_cow(bmap);
+ if (!bmap)
+ return NULL;
+
+ n = isl_basic_map_dim(bmap, isl_dim_out);
+ off = isl_basic_map_offset(bmap, isl_dim_out);
+ for (i = 0; i < bmap->n_eq; ++i)
+ for (j = 0; j < n; ++j)
+ isl_int_neg(bmap->eq[i][off+j], bmap->eq[i][off+j]);
+ for (i = 0; i < bmap->n_ineq; ++i)
+ for (j = 0; j < n; ++j)
+ isl_int_neg(bmap->ineq[i][off+j], bmap->ineq[i][off+j]);
+ for (i = 0; i < bmap->n_div; ++i)
+ for (j = 0; j < n; ++j)
+ isl_int_neg(bmap->div[i][1+off+j], bmap->div[i][1+off+j]);
+ return isl_basic_map_finalize(bmap);
+}
+
+/* Given a basic map A -> f(A) and an integer d, construct a basic map
+ * A -> floor(f(A)/d).
+ */
+struct isl_basic_map *isl_basic_map_floordiv(struct isl_basic_map *bmap,
+ isl_int d)
+{
+ unsigned n_in, n_out, nparam, total, pos;
+ struct isl_basic_map *result = NULL;
+ struct isl_dim_map *dim_map;
+ int i;
+
+ if (!bmap)
+ return NULL;
+
+ nparam = isl_basic_map_n_param(bmap);
+ n_in = isl_basic_map_n_in(bmap);
+ n_out = isl_basic_map_n_out(bmap);
+
+ total = nparam + n_in + n_out + bmap->n_div + n_out;
+ dim_map = isl_dim_map_alloc(bmap->ctx, total);
+ isl_dim_map_dim(dim_map, bmap->dim, isl_dim_param, pos = 0);
+ isl_dim_map_dim(dim_map, bmap->dim, isl_dim_in, pos += nparam);
+ isl_dim_map_div(dim_map, bmap, pos += n_in + n_out);
+ isl_dim_map_dim(dim_map, bmap->dim, isl_dim_out, pos += bmap->n_div);
+
+ result = isl_basic_map_alloc_dim(isl_dim_copy(bmap->dim),
+ bmap->n_div + n_out,
+ bmap->n_eq, bmap->n_ineq + 2 * n_out);
+ result = add_constraints_dim_map(result, bmap, dim_map);
+ result = add_divs(result, n_out);
+ for (i = 0; i < n_out; ++i) {
+ int j;
+ j = isl_basic_map_alloc_inequality(result);
+ if (j < 0)
+ goto error;
+ isl_seq_clr(result->ineq[j], 1+total);
+ isl_int_neg(result->ineq[j][1+nparam+n_in+i], d);
+ isl_int_set_si(result->ineq[j][1+pos+i], 1);
+ j = isl_basic_map_alloc_inequality(result);
+ if (j < 0)
+ goto error;
+ isl_seq_clr(result->ineq[j], 1+total);
+ isl_int_set(result->ineq[j][1+nparam+n_in+i], d);
+ isl_int_set_si(result->ineq[j][1+pos+i], -1);
+ isl_int_sub_ui(result->ineq[j][0], d, 1);
+ }
+
+ result = isl_basic_map_simplify(result);
+ return isl_basic_map_finalize(result);
+error:
+ isl_basic_map_free(result);
+ return NULL;
+}
+
+static struct isl_basic_map *var_equal(struct isl_basic_map *bmap, unsigned pos)
+{
+ int i;
+ unsigned nparam;
+ unsigned n_in;
+
+ i = isl_basic_map_alloc_equality(bmap);
+ if (i < 0)
+ goto error;
+ nparam = isl_basic_map_n_param(bmap);
+ n_in = isl_basic_map_n_in(bmap);
+ isl_seq_clr(bmap->eq[i], 1 + isl_basic_map_total_dim(bmap));
+ isl_int_set_si(bmap->eq[i][1+nparam+pos], -1);
+ isl_int_set_si(bmap->eq[i][1+nparam+n_in+pos], 1);
+ return isl_basic_map_finalize(bmap);
+error:
+ isl_basic_map_free(bmap);
+ return NULL;
+}
+
+static struct isl_basic_map *var_more(struct isl_basic_map *bmap, unsigned pos)
{
int i;
+ unsigned nparam;
+ unsigned n_in;
+
i = isl_basic_map_alloc_inequality(bmap);
if (i < 0)
goto error;
- isl_seq_clr(bmap->ineq[i],
- 1 + bmap->nparam + bmap->n_in + bmap->n_out + bmap->extra);
+ nparam = isl_basic_map_n_param(bmap);
+ n_in = isl_basic_map_n_in(bmap);
+ isl_seq_clr(bmap->ineq[i], 1 + isl_basic_map_total_dim(bmap));
isl_int_set_si(bmap->ineq[i][0], -1);
- isl_int_set_si(bmap->ineq[i][1+bmap->nparam+pos], -1);
- isl_int_set_si(bmap->ineq[i][1+bmap->nparam+bmap->n_in+pos], 1);
+ isl_int_set_si(bmap->ineq[i][1+nparam+pos], -1);
+ isl_int_set_si(bmap->ineq[i][1+nparam+n_in+pos], 1);
return isl_basic_map_finalize(bmap);
error:
isl_basic_map_free(bmap);
return NULL;
}
-static struct isl_basic_map *var_less(struct isl_ctx *ctx,
- struct isl_basic_map *bmap, unsigned pos)
+static struct isl_basic_map *var_less(struct isl_basic_map *bmap, unsigned pos)
{
int i;
+ unsigned nparam;
+ unsigned n_in;
+
i = isl_basic_map_alloc_inequality(bmap);
if (i < 0)
goto error;
- isl_seq_clr(bmap->ineq[i],
- 1 + bmap->nparam + bmap->n_in + bmap->n_out + bmap->extra);
+ nparam = isl_basic_map_n_param(bmap);
+ n_in = isl_basic_map_n_in(bmap);
+ isl_seq_clr(bmap->ineq[i], 1 + isl_basic_map_total_dim(bmap));
isl_int_set_si(bmap->ineq[i][0], -1);
- isl_int_set_si(bmap->ineq[i][1+bmap->nparam+pos], 1);
- isl_int_set_si(bmap->ineq[i][1+bmap->nparam+bmap->n_in+pos], -1);
+ isl_int_set_si(bmap->ineq[i][1+nparam+pos], 1);
+ isl_int_set_si(bmap->ineq[i][1+nparam+n_in+pos], -1);
return isl_basic_map_finalize(bmap);
error:
isl_basic_map_free(bmap);
return NULL;
}
-struct isl_basic_map *isl_basic_map_equal(struct isl_ctx *ctx,
- unsigned nparam, unsigned in, unsigned out, unsigned n_equal)
+struct isl_basic_map *isl_basic_map_equal(struct isl_dim *dim, unsigned n_equal)
{
int i;
struct isl_basic_map *bmap;
- bmap = isl_basic_map_alloc(ctx, nparam, in, out, 0, n_equal, 0);
+ bmap = isl_basic_map_alloc_dim(dim, 0, n_equal, 0);
if (!bmap)
return NULL;
for (i = 0; i < n_equal && bmap; ++i)
- bmap = var_equal(ctx, bmap, i);
+ bmap = var_equal(bmap, i);
return isl_basic_map_finalize(bmap);
}
-struct isl_basic_map *isl_basic_map_less_at(struct isl_ctx *ctx,
- unsigned nparam, unsigned in, unsigned out, unsigned pos)
+struct isl_basic_map *isl_basic_map_less_at(struct isl_dim *dim, unsigned pos)
{
int i;
struct isl_basic_map *bmap;
- bmap = isl_basic_map_alloc(ctx, nparam, in, out, 0, pos, 1);
+ bmap = isl_basic_map_alloc_dim(dim, 0, pos, 1);
if (!bmap)
return NULL;
for (i = 0; i < pos && bmap; ++i)
- bmap = var_equal(ctx, bmap, i);
+ bmap = var_equal(bmap, i);
if (bmap)
- bmap = var_less(ctx, bmap, pos);
+ bmap = var_less(bmap, pos);
return isl_basic_map_finalize(bmap);
}
-struct isl_basic_map *isl_basic_map_more_at(struct isl_ctx *ctx,
- unsigned nparam, unsigned in, unsigned out, unsigned pos)
+struct isl_basic_map *isl_basic_map_more_at(struct isl_dim *dim, unsigned pos)
{
int i;
struct isl_basic_map *bmap;
- bmap = isl_basic_map_alloc(ctx, nparam, in, out, 0, pos, 1);
+ bmap = isl_basic_map_alloc_dim(dim, 0, pos, 1);
if (!bmap)
return NULL;
for (i = 0; i < pos && bmap; ++i)
- bmap = var_equal(ctx, bmap, i);
+ bmap = var_equal(bmap, i);
if (bmap)
- bmap = var_more(ctx, bmap, pos);
+ bmap = var_more(bmap, pos);
return isl_basic_map_finalize(bmap);
}
struct isl_basic_map *isl_basic_map_from_basic_set(
- struct isl_basic_set *bset, unsigned n_in, unsigned n_out)
+ struct isl_basic_set *bset, struct isl_dim *dim)
{
struct isl_basic_map *bmap;
bset = isl_basic_set_cow(bset);
- if (!bset)
- return NULL;
+ if (!bset || !dim)
+ goto error;
- isl_assert(ctx, bset->dim == n_in + n_out, goto error);
+ isl_assert(bset->ctx, isl_dim_compatible(bset->dim, dim), goto error);
+ isl_dim_free(bset->dim);
bmap = (struct isl_basic_map *) bset;
- bmap->n_in = n_in;
- bmap->n_out = n_out;
+ bmap->dim = dim;
return isl_basic_map_finalize(bmap);
error:
isl_basic_set_free(bset);
+ isl_dim_free(dim);
return NULL;
}
{
if (!bmap)
goto error;
- if (bmap->n_in == 0)
+ if (bmap->dim->n_in == 0)
return (struct isl_basic_set *)bmap;
bmap = isl_basic_map_cow(bmap);
if (!bmap)
goto error;
- bmap->n_out += bmap->n_in;
- bmap->n_in = 0;
+ bmap->dim = isl_dim_cow(bmap->dim);
+ if (!bmap->dim)
+ goto error;
+ bmap->dim->n_out += bmap->dim->n_in;
+ bmap->dim->n_in = 0;
bmap = isl_basic_map_finalize(bmap);
return (struct isl_basic_set *)bmap;
error:
+ isl_basic_map_free(bmap);
return NULL;
}
static int add_div_constraints(struct isl_basic_map *bmap, unsigned div)
{
int i, j;
- unsigned div_pos = 1 + bmap->nparam + bmap->n_in + bmap->n_out + div;
- unsigned total = bmap->nparam + bmap->n_in + bmap->n_out + bmap->extra;
+ unsigned total = isl_basic_map_total_dim(bmap);
+ unsigned div_pos = 1 + total - bmap->n_div + div;
i = isl_basic_map_alloc_inequality(bmap);
if (i < 0)
{
if (!bmap)
goto error;
- if (bmap->nparam == 0 && bmap->n_in == 0 && bmap->n_div == 0)
+ if (bmap->dim->nparam == 0 && bmap->dim->n_in == 0 && bmap->n_div == 0)
return (struct isl_basic_set *)bmap;
bmap = isl_basic_map_cow(bmap);
if (!bmap)
goto error;
- bmap->n_out += bmap->nparam + bmap->n_in + bmap->n_div;
- bmap->nparam = 0;
- bmap->n_in = 0;
+ bmap->dim = isl_dim_underlying(bmap->dim, bmap->n_div);
+ if (!bmap->dim)
+ goto error;
bmap->extra -= bmap->n_div;
bmap->n_div = 0;
bmap = isl_basic_map_finalize(bmap);
struct isl_basic_map *bmap;
struct isl_ctx *ctx;
unsigned total;
- int i, k;
+ int i;
if (!bset || !like)
goto error;
ctx = bset->ctx;
- isl_assert(ctx, bset->dim ==
- like->nparam + like->n_in + like->n_out + like->n_div,
+ isl_assert(ctx, bset->n_div == 0, goto error);
+ isl_assert(ctx, isl_basic_set_n_param(bset) == 0, goto error);
+ isl_assert(ctx, bset->dim->n_out == isl_basic_map_total_dim(like),
goto error);
- if (like->nparam == 0 && like->n_in == 0 && like->n_div == 0) {
+ if (isl_dim_equal(bset->dim, like->dim) && like->n_div == 0) {
isl_basic_map_free(like);
return (struct isl_basic_map *)bset;
}
bset = isl_basic_set_cow(bset);
if (!bset)
goto error;
- total = bset->dim + bset->extra;
+ total = bset->dim->n_out + bset->extra;
bmap = (struct isl_basic_map *)bset;
- bmap->nparam = like->nparam;
- bmap->n_in = like->n_in;
- bmap->n_out = like->n_out;
+ isl_dim_free(bmap->dim);
+ bmap->dim = isl_dim_copy(like->dim);
+ if (!bmap->dim)
+ goto error;
+ bmap->n_div = like->n_div;
bmap->extra += like->n_div;
if (bmap->extra) {
unsigned ltotal;
bmap->extra);
if (!bmap->div)
goto error;
- bmap = isl_basic_map_extend(bmap, bmap->nparam,
- bmap->n_in, bmap->n_out, 0, 0, 2 * like->n_div);
+ for (i = 0; i < bmap->extra; ++i)
+ bmap->div[i] = bmap->block2.data + i * (1 + 1 + total);
for (i = 0; i < like->n_div; ++i) {
- k = isl_basic_map_alloc_div(bmap);
- if (k < 0)
- goto error;
- isl_seq_cpy(bmap->div[k], like->div[i], 1 + 1 + ltotal);
- isl_seq_clr(bmap->div[k]+1+1+ltotal, total - ltotal);
- if (add_div_constraints(bmap, k) < 0)
+ isl_seq_cpy(bmap->div[i], like->div[i], 1 + 1 + ltotal);
+ isl_seq_clr(bmap->div[i]+1+1+ltotal, total - ltotal);
+ }
+ bmap = isl_basic_map_extend_constraints(bmap,
+ 0, 2 * like->n_div);
+ for (i = 0; i < like->n_div; ++i) {
+ if (isl_int_is_zero(bmap->div[i][0]))
+ continue;
+ if (add_div_constraints(bmap, i) < 0)
goto error;
}
}
isl_basic_map_free(like);
+ bmap = isl_basic_map_simplify(bmap);
bmap = isl_basic_map_finalize(bmap);
return bmap;
error:
if (!set || !like)
goto error;
- isl_assert(set->ctx, set->dim == like->nparam + like->dim + like->n_div,
+ isl_assert(set->ctx, set->dim->n_out == isl_basic_set_total_dim(like),
goto error);
- if (like->nparam == 0 && like->n_div == 0) {
+ if (isl_dim_equal(set->dim, like->dim) && like->n_div == 0) {
isl_basic_set_free(like);
return set;
}
if (!set->p[i])
goto error;
}
- set->nparam = like->nparam;
- set->dim = like->dim;
+ isl_dim_free(set->dim);
+ set->dim = isl_dim_copy(like->dim);
+ if (!set->dim)
+ goto error;
isl_basic_set_free(like);
return set;
error:
{
int i;
- map = isl_map_align_divs(map);
map = isl_map_cow(map);
if (!map)
return NULL;
+ map->dim = isl_dim_cow(map->dim);
+ if (!map->dim)
+ goto error;
+ for (i = 1; i < map->n; ++i)
+ isl_assert(map->ctx, map->p[0]->n_div == map->p[i]->n_div,
+ goto error);
for (i = 0; i < map->n; ++i) {
map->p[i] = (struct isl_basic_map *)
isl_basic_map_underlying_set(map->p[i]);
goto error;
}
if (map->n == 0)
- map->n_out += map->nparam + map->n_in;
- else
- map->n_out = map->p[0]->n_out;
- map->nparam = 0;
- map->n_in = 0;
+ map->dim = isl_dim_underlying(map->dim, 0);
+ else {
+ isl_dim_free(map->dim);
+ map->dim = isl_dim_copy(map->p[0]->dim);
+ }
+ if (!map->dim)
+ goto error;
return (struct isl_set *)map;
error:
isl_map_free(map);
unsigned n_out;
if (!bmap)
return NULL;
- n_out = bmap->n_out;
+ n_out = isl_basic_map_n_out(bmap);
domain = isl_basic_set_from_basic_map(bmap);
return isl_basic_set_project_out(domain, n_out, 0);
}
goto error;
set = (struct isl_set *) map;
- set->zero = 0;
+ if (set->dim->n_in != 0) {
+ set->dim = isl_dim_drop_inputs(set->dim, 0, set->dim->n_in);
+ if (!set->dim)
+ goto error;
+ }
for (i = 0; i < map->n; ++i) {
set->p[i] = isl_basic_map_range(map->p[i]);
if (!set->p[i])
goto error;
}
F_CLR(set, ISL_MAP_DISJOINT);
+ F_CLR(set, ISL_SET_NORMALIZED);
return set;
error:
isl_map_free(map);
return NULL;
}
-struct isl_map *isl_map_from_set(struct isl_set *set,
- unsigned n_in, unsigned n_out)
+struct isl_map *isl_map_from_set(struct isl_set *set, struct isl_dim *dim)
{
int i;
struct isl_map *map = NULL;
- if (!set)
- return NULL;
- isl_assert(set->ctx, set->dim == n_in + n_out, goto error);
set = isl_set_cow(set);
- if (!set)
- return NULL;
+ if (!set || !dim)
+ goto error;
+ isl_assert(set->ctx, isl_dim_compatible(set->dim, dim), goto error);
map = (struct isl_map *)set;
for (i = 0; i < set->n; ++i) {
map->p[i] = isl_basic_map_from_basic_set(
- set->p[i], n_in, n_out);
+ set->p[i], isl_dim_copy(dim));
if (!map->p[i])
goto error;
}
- map->n_in = n_in;
- map->n_out = n_out;
+ isl_dim_free(map->dim);
+ map->dim = dim;
return map;
error:
+ isl_dim_free(dim);
isl_set_free(set);
return NULL;
}
+struct isl_map *isl_map_from_range(struct isl_set *set)
+{
+ return (struct isl_map *)set;
+}
+
struct isl_set *isl_set_from_map(struct isl_map *map)
{
int i;
map = isl_map_cow(map);
if (!map)
return NULL;
- map->n_out += map->n_in;
- map->n_in = 0;
+ map->dim = isl_dim_cow(map->dim);
+ if (!map->dim)
+ goto error;
+ map->dim->n_out += map->dim->n_in;
+ map->dim->n_in = 0;
set = (struct isl_set *)map;
for (i = 0; i < map->n; ++i) {
set->p[i] = isl_basic_set_from_basic_map(map->p[i]);
return NULL;
}
-struct isl_map *isl_map_alloc(struct isl_ctx *ctx,
- unsigned nparam, unsigned in, unsigned out, int n,
- unsigned flags)
+struct isl_map *isl_map_alloc_dim(struct isl_dim *dim, int n, unsigned flags)
{
struct isl_map *map;
- map = isl_alloc(ctx, struct isl_map,
+ if (!dim)
+ return NULL;
+ isl_assert(dim->ctx, n >= 0, return NULL);
+ map = isl_alloc(dim->ctx, struct isl_map,
sizeof(struct isl_map) +
n * sizeof(struct isl_basic_map *));
if (!map)
- return NULL;
+ goto error;
- map->ctx = ctx;
- isl_ctx_ref(ctx);
+ map->ctx = dim->ctx;
+ isl_ctx_ref(map->ctx);
map->ref = 1;
map->size = n;
map->n = 0;
- map->nparam = nparam;
- map->n_in = in;
- map->n_out = out;
+ map->dim = dim;
map->flags = flags;
return map;
+error:
+ isl_dim_free(dim);
+ return NULL;
+}
+
+struct isl_map *isl_map_alloc(struct isl_ctx *ctx,
+ unsigned nparam, unsigned in, unsigned out, int n,
+ unsigned flags)
+{
+ struct isl_map *map;
+ struct isl_dim *dims;
+
+ dims = isl_dim_alloc(ctx, nparam, in, out);
+ if (!dims)
+ return NULL;
+
+ map = isl_map_alloc_dim(dims, n, flags);
+ return map;
}
struct isl_basic_map *isl_basic_map_empty(struct isl_ctx *ctx,
return bmap;
}
-struct isl_basic_set *isl_basic_set_empty(struct isl_ctx *ctx,
- unsigned nparam, unsigned dim)
+struct isl_basic_set *isl_basic_set_empty(struct isl_dim *dim)
{
struct isl_basic_set *bset;
- bset = isl_basic_set_alloc(ctx, nparam, dim, 0, 1, 0);
+ bset = isl_basic_set_alloc_dim(dim, 0, 1, 0);
bset = isl_basic_set_set_to_empty(bset);
return bset;
}
-struct isl_basic_map *isl_basic_map_universe(struct isl_ctx *ctx,
- unsigned nparam, unsigned in, unsigned out)
+struct isl_basic_map *isl_basic_map_empty_like(struct isl_basic_map *model)
{
struct isl_basic_map *bmap;
- bmap = isl_basic_map_alloc(ctx, nparam, in, out, 0, 0, 0);
+ if (!model)
+ return NULL;
+ bmap = isl_basic_map_alloc_dim(isl_dim_copy(model->dim), 0, 1, 0);
+ bmap = isl_basic_map_set_to_empty(bmap);
return bmap;
}
-struct isl_basic_set *isl_basic_set_universe(struct isl_ctx *ctx,
- unsigned nparam, unsigned dim)
+struct isl_basic_map *isl_basic_map_empty_like_map(struct isl_map *model)
+{
+ struct isl_basic_map *bmap;
+ if (!model)
+ return NULL;
+ bmap = isl_basic_map_alloc_dim(isl_dim_copy(model->dim), 0, 1, 0);
+ bmap = isl_basic_map_set_to_empty(bmap);
+ return bmap;
+}
+
+struct isl_basic_set *isl_basic_set_empty_like(struct isl_basic_set *model)
{
struct isl_basic_set *bset;
- bset = isl_basic_set_alloc(ctx, nparam, dim, 0, 0, 0);
+ if (!model)
+ return NULL;
+ bset = isl_basic_set_alloc_dim(isl_dim_copy(model->dim), 0, 1, 0);
+ bset = isl_basic_set_set_to_empty(bset);
return bset;
}
-struct isl_map *isl_map_empty(struct isl_ctx *ctx,
- unsigned nparam, unsigned in, unsigned out)
+struct isl_basic_map *isl_basic_map_universe(struct isl_dim *dim)
{
- return isl_map_alloc(ctx, nparam, in, out, 0, ISL_MAP_DISJOINT);
+ struct isl_basic_map *bmap;
+ bmap = isl_basic_map_alloc_dim(dim, 0, 0, 0);
+ return bmap;
}
-struct isl_set *isl_set_empty(struct isl_ctx *ctx,
- unsigned nparam, unsigned dim)
+struct isl_basic_set *isl_basic_set_universe(struct isl_dim *dim)
+{
+ struct isl_basic_set *bset;
+ bset = isl_basic_set_alloc_dim(dim, 0, 0, 0);
+ return bset;
+}
+
+struct isl_basic_set *isl_basic_set_universe_like(struct isl_basic_set *model)
+{
+ if (!model)
+ return NULL;
+ return isl_basic_set_alloc_dim(isl_dim_copy(model->dim), 0, 0, 0);
+}
+
+struct isl_map *isl_map_empty(struct isl_dim *dim)
+{
+ return isl_map_alloc_dim(dim, 0, ISL_MAP_DISJOINT);
+}
+
+struct isl_map *isl_map_empty_like(struct isl_map *model)
+{
+ if (!model)
+ return NULL;
+ return isl_map_alloc_dim(isl_dim_copy(model->dim), 0, ISL_MAP_DISJOINT);
+}
+
+struct isl_map *isl_map_empty_like_basic_map(struct isl_basic_map *model)
+{
+ if (!model)
+ return NULL;
+ return isl_map_alloc_dim(isl_dim_copy(model->dim), 0, ISL_MAP_DISJOINT);
+}
+
+struct isl_set *isl_set_empty(struct isl_dim *dim)
+{
+ return isl_set_alloc_dim(dim, 0, ISL_MAP_DISJOINT);
+}
+
+struct isl_set *isl_set_empty_like(struct isl_set *model)
+{
+ if (!model)
+ return NULL;
+ return isl_set_empty(isl_dim_copy(model->dim));
+}
+
+struct isl_set *isl_set_universe(struct isl_dim *dim)
{
- return isl_set_alloc(ctx, nparam, dim, 0, ISL_MAP_DISJOINT);
+ struct isl_set *set;
+ if (!dim)
+ return NULL;
+ set = isl_set_alloc_dim(isl_dim_copy(dim), 1, ISL_MAP_DISJOINT);
+ set = isl_set_add(set, isl_basic_set_universe(dim));
+ return set;
}
struct isl_map *isl_map_dup(struct isl_map *map)
if (!map)
return NULL;
- dup = isl_map_alloc(map->ctx, map->nparam, map->n_in, map->n_out, map->n,
- map->flags);
+ dup = isl_map_alloc_dim(isl_dim_copy(map->dim), map->n, map->flags);
for (i = 0; i < map->n; ++i)
- dup = isl_map_add(dup,
- isl_basic_map_dup(map->p[i]));
+ dup = isl_map_add(dup, isl_basic_map_copy(map->p[i]));
return dup;
}
{
if (!bmap || !map)
goto error;
- isl_assert(map->ctx, map->nparam == bmap->nparam, goto error);
- isl_assert(map->ctx, map->n_in == bmap->n_in, goto error);
- isl_assert(map->ctx, map->n_out == bmap->n_out, goto error);
+ isl_assert(map->ctx, isl_dim_equal(map->dim, bmap->dim), goto error);
isl_assert(map->ctx, map->n < map->size, goto error);
map->p[map->n] = bmap;
map->n++;
+ F_CLR(map, ISL_MAP_NORMALIZED);
return map;
error:
if (map)
isl_ctx_deref(map->ctx);
for (i = 0; i < map->n; ++i)
isl_basic_map_free(map->p[i]);
+ isl_dim_free(map->dim);
free(map);
}
if (!base)
return NULL;
- isl_assert(base->ctx, base->nparam <= nparam, goto error);
- isl_assert(base->ctx, base->n_in <= n_in, goto error);
- isl_assert(base->ctx, base->n_out <= n_out, goto error);
- base->nparam = nparam;
- base->n_in = n_in;
- base->n_out = n_out;
+ base->dim = isl_dim_extend(base->dim, nparam, n_in, n_out);
+ if (!base->dim)
+ goto error;
for (i = 0; i < base->n; ++i) {
- base->p[i] = isl_basic_map_extend(base->p[i],
- nparam, n_in, n_out, 0, 0, 0);
+ base->p[i] = isl_basic_map_extend_dim(base->p[i],
+ isl_dim_copy(base->dim), 0, 0, 0);
if (!base->p[i])
goto error;
}
nparam, 0, dim);
}
-static struct isl_basic_map *isl_basic_map_fix_var(struct isl_basic_map *bmap,
- unsigned var, int value)
+static struct isl_basic_map *isl_basic_map_fix_pos(struct isl_basic_map *bmap,
+ unsigned pos, int value)
{
int j;
bmap = isl_basic_map_cow(bmap);
- bmap = isl_basic_map_extend(bmap,
- bmap->nparam, bmap->n_in, bmap->n_out, 0, 1, 0);
+ bmap = isl_basic_map_extend_constraints(bmap, 1, 0);
j = isl_basic_map_alloc_equality(bmap);
if (j < 0)
goto error;
- isl_seq_clr(bmap->eq[j],
- 1 + bmap->nparam + bmap->n_in + bmap->n_out + bmap->extra);
- isl_int_set_si(bmap->eq[j][1 + var], -1);
+ isl_seq_clr(bmap->eq[j], 1 + isl_basic_map_total_dim(bmap));
+ isl_int_set_si(bmap->eq[j][pos], -1);
isl_int_set_si(bmap->eq[j][0], value);
bmap = isl_basic_map_simplify(bmap);
return isl_basic_map_finalize(bmap);
return NULL;
}
-struct isl_basic_map *isl_basic_map_fix_input_si(struct isl_basic_map *bmap,
- unsigned input, int value)
+struct isl_basic_map *isl_basic_map_fix_si(struct isl_basic_map *bmap,
+ enum isl_dim_type type, unsigned pos, int value)
{
if (!bmap)
return NULL;
- isl_assert(bmap->ctx, input < bmap->n_in, goto error);
- return isl_basic_map_fix_var(bmap, bmap->nparam + input, value);
+ isl_assert(bmap->ctx, pos < isl_basic_map_dim(bmap, type), goto error);
+ return isl_basic_map_fix_pos(bmap, isl_basic_map_offset(bmap, type) + pos,
+ value);
error:
isl_basic_map_free(bmap);
return NULL;
}
+struct isl_basic_set *isl_basic_set_fix_si(struct isl_basic_set *bset,
+ enum isl_dim_type type, unsigned pos, int value)
+{
+ return (struct isl_basic_set *)
+ isl_basic_map_fix_si((struct isl_basic_map *)bset,
+ type, pos, value);
+}
+
+struct isl_basic_map *isl_basic_map_fix_input_si(struct isl_basic_map *bmap,
+ unsigned input, int value)
+{
+ return isl_basic_map_fix_si(bmap, isl_dim_in, input, value);
+}
+
struct isl_basic_set *isl_basic_set_fix_dim_si(struct isl_basic_set *bset,
unsigned dim, int value)
{
- if (!bset)
- return NULL;
- isl_assert(bset->ctx, dim < bset->dim, goto error);
return (struct isl_basic_set *)
- isl_basic_map_fix_var((struct isl_basic_map *)bset,
- bset->nparam + dim, value);
-error:
- isl_basic_set_free(bset);
- return NULL;
+ isl_basic_map_fix_si((struct isl_basic_map *)bset,
+ isl_dim_set, dim, value);
}
-struct isl_map *isl_map_fix_input_si(struct isl_map *map,
- unsigned input, int value)
+struct isl_map *isl_map_fix_si(struct isl_map *map,
+ enum isl_dim_type type, unsigned pos, int value)
{
int i;
if (!map)
return NULL;
- isl_assert(ctx, input < map->n_in, goto error);
+ isl_assert(ctx, pos < isl_map_dim(map, type), goto error);
for (i = 0; i < map->n; ++i) {
- map->p[i] = isl_basic_map_fix_input_si(map->p[i], input, value);
+ map->p[i] = isl_basic_map_fix_si(map->p[i], type, pos, value);
if (!map->p[i])
goto error;
}
+ F_CLR(map, ISL_MAP_NORMALIZED);
return map;
error:
isl_map_free(map);
return NULL;
}
+struct isl_map *isl_map_fix_input_si(struct isl_map *map,
+ unsigned input, int value)
+{
+ return isl_map_fix_si(map, isl_dim_in, input, value);
+}
+
struct isl_set *isl_set_fix_dim_si(struct isl_set *set, unsigned dim, int value)
{
+ return (struct isl_set *)
+ isl_map_fix_si((struct isl_map *)set, isl_dim_set, dim, value);
+}
+
+struct isl_basic_set *isl_basic_set_lower_bound_dim(struct isl_basic_set *bset,
+ unsigned dim, isl_int value)
+{
+ int j;
+ unsigned nparam;
+
+ bset = isl_basic_set_cow(bset);
+ bset = isl_basic_set_extend_constraints(bset, 0, 1);
+ j = isl_basic_set_alloc_inequality(bset);
+ if (j < 0)
+ goto error;
+ isl_seq_clr(bset->ineq[j], 1 + isl_basic_set_total_dim(bset));
+ isl_int_set_si(bset->ineq[j][1 + isl_basic_set_n_param(bset) + dim], 1);
+ isl_int_neg(bset->ineq[j][0], value);
+ bset = isl_basic_set_simplify(bset);
+ return isl_basic_set_finalize(bset);
+error:
+ isl_basic_set_free(bset);
+ return NULL;
+}
+
+struct isl_set *isl_set_lower_bound_dim(struct isl_set *set, unsigned dim,
+ isl_int value)
+{
int i;
set = isl_set_cow(set);
if (!set)
return NULL;
- isl_assert(set->ctx, dim < set->dim, goto error);
+ isl_assert(set->ctx, dim < isl_set_n_dim(set), goto error);
for (i = 0; i < set->n; ++i) {
- set->p[i] = isl_basic_set_fix_dim_si(set->p[i], dim, value);
+ set->p[i] = isl_basic_set_lower_bound_dim(set->p[i], dim, value);
if (!set->p[i])
goto error;
}
if (!map)
return NULL;
- t = map->n_in;
- map->n_in = map->n_out;
- map->n_out = t;
+ map->dim = isl_dim_reverse(map->dim);
+ if (!map->dim)
+ goto error;
for (i = 0; i < map->n; ++i) {
map->p[i] = isl_basic_map_reverse(map->p[i]);
if (!map->p[i])
goto error;
}
+ F_CLR(map, ISL_MAP_NORMALIZED);
return map;
error:
isl_map_free(map);
struct isl_basic_map *bmap = NULL;
struct isl_basic_set *dom = NULL;
struct isl_map *min;
+ struct isl_dim *param_dim;
if (!bset)
goto error;
- bmap = isl_basic_map_from_basic_set(bset, 0, bset->dim);
+ bmap = isl_basic_map_from_basic_set(bset, isl_dim_copy(bset->dim));
if (!bmap)
goto error;
- dom = isl_basic_set_alloc(bmap->ctx, bmap->nparam, 0, 0, 0, 0);
+ param_dim = isl_dim_domain(isl_dim_copy(bmap->dim));
+ dom = isl_basic_set_universe(param_dim);
if (!dom)
goto error;
min = isl_basic_map_lexmin(bmap, dom, NULL);
struct isl_map *isl_basic_map_compute_divs(struct isl_basic_map *bmap)
{
+ int i;
+ unsigned off;
+
if (!bmap)
return NULL;
- if (bmap->n_div == 0)
- return isl_map_from_basic_map(bmap);
- return isl_pip_basic_map_compute_divs(bmap);
+ off = isl_dim_total(bmap->dim);
+ for (i = 0; i < bmap->n_div; ++i) {
+ if (isl_int_is_zero(bmap->div[i][0]))
+ return isl_pip_basic_map_compute_divs(bmap);
+ isl_assert(bmap->ctx, isl_int_is_zero(bmap->div[i][1+1+off+i]),
+ goto error);
+ }
+ return isl_map_from_basic_map(bmap);
+error:
+ isl_basic_map_free(bmap);
+ return NULL;
}
struct isl_map *isl_map_compute_divs(struct isl_map *map)
return NULL;
set = (struct isl_set *)map;
- set->dim = map->n_in;
- set->zero = 0;
+ set->dim = isl_dim_domain(set->dim);
+ if (!set->dim)
+ goto error;
for (i = 0; i < map->n; ++i) {
set->p[i] = isl_basic_map_domain(map->p[i]);
if (!set->p[i])
goto error;
}
F_CLR(set, ISL_MAP_DISJOINT);
+ F_CLR(set, ISL_SET_NORMALIZED);
return set;
error:
isl_map_free(map);
return map1;
}
- isl_assert(map1->ctx, map1->nparam == map2->nparam, goto error);
- isl_assert(map1->ctx, map1->n_in == map2->n_in, goto error);
- isl_assert(map1->ctx, map1->n_out == map2->n_out, goto error);
+ isl_assert(map1->ctx, isl_dim_equal(map1->dim, map2->dim), goto error);
if (F_ISSET(map1, ISL_MAP_DISJOINT) &&
F_ISSET(map2, ISL_MAP_DISJOINT))
FL_SET(flags, ISL_MAP_DISJOINT);
- map = isl_map_alloc(map1->ctx, map1->nparam, map1->n_in, map1->n_out,
+ map = isl_map_alloc_dim(isl_dim_copy(map1->dim),
map1->n + map2->n, flags);
if (!map)
goto error;
F_ISSET(set, ISL_MAP_DISJOINT))
FL_SET(flags, ISL_MAP_DISJOINT);
- result = isl_map_alloc(map->ctx, map->nparam, map->n_in, map->n_out,
- map->n * set->n, flags);
+ result = isl_map_alloc_dim(isl_dim_copy(map->dim),
+ map->n * set->n, flags);
if (!result)
goto error;
for (i = 0; i < map->n; ++i)
struct isl_map *isl_map_apply_range(
struct isl_map *map1, struct isl_map *map2)
{
+ struct isl_dim *dim_result;
struct isl_map *result;
int i, j;
+ unsigned nparam;
+ unsigned n_in;
+ unsigned n_out;
if (!map1 || !map2)
goto error;
- isl_assert(map1->ctx, map1->nparam == map2->nparam, goto error);
- isl_assert(map1->ctx, map1->n_out == map2->n_in, goto error);
+ dim_result = isl_dim_join(isl_dim_copy(map1->dim),
+ isl_dim_copy(map2->dim));
- result = isl_map_alloc(map1->ctx, map1->nparam, map1->n_in, map2->n_out,
- map1->n * map2->n, 0);
+ result = isl_map_alloc_dim(dim_result, map1->n * map2->n, 0);
if (!result)
goto error;
for (i = 0; i < map1->n; ++i)
{
struct isl_basic_set *bset;
unsigned dim;
+ unsigned nparam;
int i;
if (!bmap)
goto error;
- isl_assert(bmap->ctx, bmap->n_in == bmap->n_out, goto error);
- dim = bmap->n_in;
+ dim = isl_basic_map_n_in(bmap);
+ nparam = isl_basic_map_n_param(bmap);
+ isl_assert(bmap->ctx, dim == isl_basic_map_n_out(bmap), goto error);
bset = isl_basic_set_from_basic_map(bmap);
- bset = isl_basic_set_extend(bset, bset->nparam, 3*dim, 0,
- dim, 0);
+ bset = isl_basic_set_extend(bset, nparam, 3*dim, 0, dim, 0);
bset = isl_basic_set_swap_vars(bset, 2*dim);
for (i = 0; i < dim; ++i) {
int j = isl_basic_map_alloc_equality(
(struct isl_basic_map *)bset);
if (j < 0)
goto error;
- isl_seq_clr(bset->eq[j],
- 1 + bset->nparam + bset->dim + bset->extra);
- isl_int_set_si(bset->eq[j][1+bset->nparam+i], 1);
- isl_int_set_si(bset->eq[j][1+bset->nparam+dim+i], 1);
- isl_int_set_si(bset->eq[j][1+bset->nparam+2*dim+i], -1);
+ isl_seq_clr(bset->eq[j], 1 + isl_basic_set_total_dim(bset));
+ isl_int_set_si(bset->eq[j][1+nparam+i], 1);
+ isl_int_set_si(bset->eq[j][1+nparam+dim+i], 1);
+ isl_int_set_si(bset->eq[j][1+nparam+2*dim+i], -1);
}
return isl_basic_set_project_out(bset, 2*dim, 0);
error:
return NULL;
}
-/* If the only constraints a div d=floor(f/m)
- * appears in are its two defining constraints
- *
- * f - m d >=0
- * -(f - (m - 1)) + m d >= 0
- *
- * then it can safely be removed.
+/*
+ * returns range - domain
*/
-static int div_is_redundant(struct isl_basic_map *bmap, int div)
+struct isl_set *isl_map_deltas(struct isl_map *map)
{
int i;
- unsigned pos = 1 + bmap->nparam + bmap->n_in + bmap->n_out + div;
-
- for (i = 0; i < bmap->n_eq; ++i)
- if (!isl_int_is_zero(bmap->eq[i][pos]))
- return 0;
+ struct isl_set *result;
- for (i = 0; i < bmap->n_ineq; ++i) {
- if (isl_int_is_zero(bmap->ineq[i][pos]))
- continue;
- if (isl_int_eq(bmap->ineq[i][pos], bmap->div[div][0])) {
- int neg;
- isl_int_sub(bmap->div[div][1],
- bmap->div[div][1], bmap->div[div][0]);
- isl_int_add_ui(bmap->div[div][1], bmap->div[div][1], 1);
- neg = isl_seq_is_neg(bmap->ineq[i], bmap->div[div]+1, pos);
- isl_int_sub_ui(bmap->div[div][1], bmap->div[div][1], 1);
- isl_int_add(bmap->div[div][1],
- bmap->div[div][1], bmap->div[div][0]);
- if (!neg)
- return 0;
- if (isl_seq_first_non_zero(bmap->ineq[i]+pos+1,
- bmap->n_div-div-1) != -1)
- return 0;
- } else if (isl_int_abs_eq(bmap->ineq[i][pos], bmap->div[div][0])) {
- if (!isl_seq_eq(bmap->ineq[i], bmap->div[div]+1, pos))
- return 0;
- if (isl_seq_first_non_zero(bmap->ineq[i]+pos+1,
- bmap->n_div-div-1) != -1)
- return 0;
- } else
- return 0;
- }
-
- for (i = 0; i < bmap->n_div; ++i)
- if (!isl_int_is_zero(bmap->div[i][1+pos]))
- return 0;
+ if (!map)
+ return NULL;
- return 1;
+ isl_assert(map->ctx, isl_map_n_in(map) == isl_map_n_out(map), goto error);
+ result = isl_set_alloc(map->ctx, isl_map_n_param(map),
+ isl_map_n_in(map), map->n, map->flags);
+ if (!result)
+ goto error;
+ for (i = 0; i < map->n; ++i)
+ result = isl_set_add(result,
+ isl_basic_map_deltas(isl_basic_map_copy(map->p[i])));
+ isl_map_free(map);
+ return result;
+error:
+ isl_map_free(map);
+ return NULL;
}
-/*
- * Remove divs that don't occur in any of the constraints or other divs.
- * These can arise when dropping some of the variables in a quast
- * returned by piplib.
- */
-static struct isl_basic_map *remove_redundant_divs(struct isl_basic_map *bmap)
+static struct isl_basic_map *basic_map_identity(struct isl_dim *dims)
{
+ struct isl_basic_map *bmap;
+ unsigned nparam;
+ unsigned dim;
int i;
- if (!bmap)
+ if (!dims)
return NULL;
- for (i = bmap->n_div-1; i >= 0; --i) {
- if (!div_is_redundant(bmap, i))
- continue;
- bmap = isl_basic_map_drop_div(bmap, i);
- }
- return bmap;
-}
-
-struct isl_basic_map *isl_basic_map_finalize(struct isl_basic_map *bmap)
-{
- bmap = remove_redundant_divs(bmap);
+ nparam = dims->nparam;
+ dim = dims->n_out;
+ bmap = isl_basic_map_alloc_dim(dims, 0, dim, 0);
if (!bmap)
- return NULL;
- F_SET(bmap, ISL_BASIC_SET_FINAL);
- return bmap;
-}
-
-struct isl_basic_set *isl_basic_set_finalize(struct isl_basic_set *bset)
-{
- return (struct isl_basic_set *)
- isl_basic_map_finalize((struct isl_basic_map *)bset);
-}
-
-struct isl_set *isl_set_finalize(struct isl_set *set)
-{
- int i;
+ goto error;
- if (!set)
- return NULL;
- for (i = 0; i < set->n; ++i) {
- set->p[i] = isl_basic_set_finalize(set->p[i]);
- if (!set->p[i])
+ for (i = 0; i < dim; ++i) {
+ int j = isl_basic_map_alloc_equality(bmap);
+ if (j < 0)
goto error;
+ isl_seq_clr(bmap->eq[j], 1 + isl_basic_map_total_dim(bmap));
+ isl_int_set_si(bmap->eq[j][1+nparam+i], 1);
+ isl_int_set_si(bmap->eq[j][1+nparam+dim+i], -1);
}
- return set;
+ return isl_basic_map_finalize(bmap);
error:
- isl_set_free(set);
+ isl_basic_map_free(bmap);
return NULL;
}
-struct isl_map *isl_map_finalize(struct isl_map *map)
+struct isl_basic_map *isl_basic_map_identity(struct isl_dim *set_dim)
{
- int i;
-
- if (!map)
+ struct isl_dim *dim = isl_dim_map(set_dim);
+ if (!dim)
return NULL;
- for (i = 0; i < map->n; ++i) {
- map->p[i] = isl_basic_map_finalize(map->p[i]);
- if (!map->p[i])
- goto error;
- }
- return map;
-error:
- isl_map_free(map);
- return NULL;
+ return basic_map_identity(dim);
}
-struct isl_basic_map *isl_basic_map_identity(struct isl_ctx *ctx,
- unsigned nparam, unsigned dim)
+struct isl_basic_map *isl_basic_map_identity_like(struct isl_basic_map *model)
{
- struct isl_basic_map *bmap;
- int i;
+ if (!model || !model->dim)
+ return NULL;
+ isl_assert(model->ctx,
+ model->dim->n_in == model->dim->n_out, return NULL);
+ return basic_map_identity(isl_dim_copy(model->dim));
+}
- bmap = isl_basic_map_alloc(ctx, nparam, dim, dim, 0, dim, 0);
- if (!bmap)
- goto error;
+static struct isl_map *map_identity(struct isl_dim *dim)
+{
+ struct isl_map *map = isl_map_alloc_dim(dim, 1, ISL_MAP_DISJOINT);
+ return isl_map_add(map, basic_map_identity(isl_dim_copy(dim)));
+}
- for (i = 0; i < dim; ++i) {
- int j = isl_basic_map_alloc_equality(bmap);
- if (j < 0)
- goto error;
- isl_seq_clr(bmap->eq[j],
- 1 + bmap->nparam + bmap->n_in + bmap->n_out + bmap->extra);
- isl_int_set_si(bmap->eq[j][1+nparam+i], 1);
- isl_int_set_si(bmap->eq[j][1+nparam+dim+i], -1);
- }
- return isl_basic_map_finalize(bmap);
-error:
- isl_basic_map_free(bmap);
- return NULL;
+struct isl_map *isl_map_identity(struct isl_dim *set_dim)
+{
+ struct isl_dim *dim = isl_dim_map(set_dim);
+ if (!dim)
+ return NULL;
+ return map_identity(dim);
}
-struct isl_map *isl_map_identity(struct isl_ctx *ctx,
- unsigned nparam, unsigned dim)
+struct isl_map *isl_map_identity_like(struct isl_basic_map *model)
{
- struct isl_map *map = isl_map_alloc(ctx, nparam, dim, dim, 1,
- ISL_MAP_DISJOINT);
- if (!map)
- goto error;
- map = isl_map_add(map,
- isl_basic_map_identity(ctx, nparam, dim));
- return map;
-error:
- isl_map_free(map);
- return NULL;
+ if (!model || !model->dim)
+ return NULL;
+ isl_assert(model->ctx,
+ model->dim->n_in == model->dim->n_out, return NULL);
+ return map_identity(isl_dim_copy(model->dim));
}
int isl_set_is_equal(struct isl_set *set1, struct isl_set *set2)
return 1;
}
+int isl_map_fast_is_empty(struct isl_map *map)
+{
+ return map->n == 0;
+}
+
int isl_set_is_empty(struct isl_set *set)
{
return isl_map_is_empty((struct isl_map *)set);
unsigned total;
isl_int s;
- total = 1 + bmap->nparam + bmap->n_in + bmap->n_out + bmap->n_div;
+ total = 1 + isl_basic_map_total_dim(bmap);
if (total != vec->size)
return -1;
if (F_ISSET(bmap, ISL_BASIC_MAP_EMPTY))
return 1;
- total = 1 + bmap->nparam + bmap->n_in + bmap->n_out + bmap->n_div;
+ if (F_ISSET(bmap, ISL_BASIC_MAP_RATIONAL)) {
+ struct isl_basic_map *copy = isl_basic_map_copy(bmap);
+ copy = isl_basic_map_convex_hull(copy);
+ empty = F_ISSET(copy, ISL_BASIC_MAP_EMPTY);
+ isl_basic_map_free(copy);
+ return empty;
+ }
+
+ total = 1 + isl_basic_map_total_dim(bmap);
if (bmap->sample && bmap->sample->size == total) {
int contains = basic_map_contains(bmap, bmap->sample);
if (contains < 0)
return empty;
}
+int isl_basic_set_is_empty(struct isl_basic_set *bset)
+{
+ return isl_basic_map_is_empty((struct isl_basic_map *)bset);
+}
+
struct isl_map *isl_basic_map_union(
struct isl_basic_map *bmap1, struct isl_basic_map *bmap2)
{
if (!bmap1 || !bmap2)
return NULL;
- isl_assert(bmap1->ctx, bmap1->nparam == bmap2->nparam, goto error);
- isl_assert(bmap1->ctx, bmap1->n_in == bmap2->n_in, goto error);
- isl_assert(bmap1->ctx, bmap1->n_out == bmap2->n_out, goto error);
+ isl_assert(map1->ctx, isl_dim_equal(bmap1->dim, bmap2->dim), goto error);
- map = isl_map_alloc(bmap1->ctx, bmap1->nparam,
- bmap1->n_in, bmap1->n_out, 2, 0);
+ map = isl_map_alloc_dim(isl_dim_copy(bmap1->dim), 2, 0);
if (!map)
goto error;
map = isl_map_add(map, bmap1);
static struct isl_basic_map *order_divs(struct isl_basic_map *bmap)
{
int i;
- unsigned off = bmap->nparam + bmap->n_in + bmap->n_out;
+ unsigned off = isl_dim_total(bmap->dim);
for (i = 0; i < bmap->n_div; ++i) {
int pos;
return bmap;
}
+/* Look for a div in dst that corresponds to the div "div" in src.
+ * The divs before "div" in src and dst are assumed to be the same.
+ *
+ * Returns -1 if no corresponding div was found and the position
+ * of the corresponding div in dst otherwise.
+ */
static int find_div(struct isl_basic_map *dst,
struct isl_basic_map *src, unsigned div)
{
int i;
- unsigned total = src->nparam + src->n_in + src->n_out + src->n_div;
+ unsigned total = isl_dim_total(src->dim);
- for (i = 0; i < dst->n_div; ++i)
- if (isl_seq_eq(dst->div[i], src->div[div], 1+1+total) &&
- isl_seq_first_non_zero(dst->div[i]+1+1+total,
- dst->n_div - src->n_div) == -1)
+ isl_assert(dst->ctx, div <= dst->n_div, return -1);
+ for (i = div; i < dst->n_div; ++i)
+ if (isl_seq_eq(dst->div[i], src->div[div], 1+1+total+div) &&
+ isl_seq_first_non_zero(dst->div[i]+1+1+total+div,
+ dst->n_div - div) == -1)
return i;
return -1;
}
struct isl_basic_map *dst, struct isl_basic_map *src)
{
int i;
- unsigned total = src->nparam + src->n_in + src->n_out + src->n_div;
+ unsigned total = isl_dim_total(src->dim);
+
+ if (!dst || !src)
+ goto error;
if (src->n_div == 0)
return dst;
+ for (i = 0; i < src->n_div; ++i)
+ isl_assert(src->ctx, !isl_int_is_zero(src->div[i][0]), goto error);
+
src = order_divs(src);
- dst = isl_basic_map_extend(dst, dst->nparam, dst->n_in,
- dst->n_out, src->n_div, 0, 2 * src->n_div);
+ dst = isl_basic_map_extend_dim(dst, isl_dim_copy(dst->dim),
+ src->n_div, 0, 2 * src->n_div);
if (!dst)
return NULL;
for (i = 0; i < src->n_div; ++i) {
j = isl_basic_map_alloc_div(dst);
if (j < 0)
goto error;
- isl_seq_cpy(dst->div[j], src->div[i], 1+1+total);
- isl_seq_clr(dst->div[j]+1+1+total,
- dst->extra - src->n_div);
+ isl_seq_cpy(dst->div[j], src->div[i], 1+1+total+i);
+ isl_seq_clr(dst->div[j]+1+1+total+i, dst->n_div - i);
if (add_div_constraints(dst, j) < 0)
goto error;
}
return NULL;
}
+struct isl_basic_set *isl_basic_set_align_divs(
+ struct isl_basic_set *dst, struct isl_basic_set *src)
+{
+ return (struct isl_basic_set *)isl_basic_map_align_divs(
+ (struct isl_basic_map *)dst, (struct isl_basic_map *)src);
+}
+
struct isl_map *isl_map_align_divs(struct isl_map *map)
{
int i;
for (i = 1; i < map->n; ++i)
map->p[i] = isl_basic_map_align_divs(map->p[i], map->p[0]);
+ F_CLR(map, ISL_MAP_NORMALIZED);
return map;
}
copy = isl_basic_map_cow(copy);
if (!copy)
goto error;
- copy = isl_basic_map_extend(copy,
- copy->nparam, copy->n_in, copy->n_out, 0, 0, 1);
+ copy = isl_basic_map_extend_constraints(copy, 0, 1);
k = isl_basic_map_alloc_inequality(copy);
if (k < 0)
goto error;
isl_seq_neg(copy->ineq[k], c, len);
else
isl_seq_cpy(copy->ineq[k], c, len);
- total = 1 + copy->nparam + copy->n_in + copy->n_out + copy->extra;
+ total = 1 + isl_basic_map_total_dim(copy);
isl_seq_clr(copy->ineq[k]+len, total - len);
isl_inequality_negate(copy, k);
copy = isl_basic_map_simplify(copy);
unsigned flags = 0;
struct isl_map *rest = NULL;
unsigned max;
- unsigned total = bmap->nparam + bmap->n_in + bmap->n_out + bmap->n_div;
+ unsigned total = isl_basic_map_total_dim(bmap);
assert(bmap);
FL_SET(flags, ISL_MAP_DISJOINT);
max = map->n * (2 * bmap->n_eq + bmap->n_ineq);
- rest = isl_map_alloc(map->ctx, map->nparam, map->n_in, map->n_out,
- max, flags);
+ rest = isl_map_alloc_dim(isl_dim_copy(map->dim), max, flags);
if (!rest)
goto error;
if (!rest)
goto error;
- map->p[j] = isl_basic_map_extend(map->p[j],
- map->p[j]->nparam, map->p[j]->n_in,
- map->p[j]->n_out, 0, 1, 0);
+ map->p[j] = isl_basic_map_extend_constraints(map->p[j],
+ 1, 0);
if (!map->p[j])
goto error;
k = isl_basic_map_alloc_equality(map->p[j]);
goto error;
isl_seq_cpy(map->p[j]->eq[k], bmap->eq[i], 1+total);
isl_seq_clr(map->p[j]->eq[k]+1+total,
- map->p[j]->extra - bmap->n_div);
+ map->p[j]->n_div - bmap->n_div);
}
}
if (!rest)
goto error;
- map->p[j] = isl_basic_map_extend(map->p[j],
- map->p[j]->nparam, map->p[j]->n_in,
- map->p[j]->n_out, 0, 0, 1);
+ map->p[j] = isl_basic_map_extend_constraints(map->p[j],
+ 0, 1);
if (!map->p[j])
goto error;
k = isl_basic_map_alloc_inequality(map->p[j]);
goto error;
isl_seq_cpy(map->p[j]->ineq[k], bmap->ineq[i], 1+total);
isl_seq_clr(map->p[j]->ineq[k]+1+total,
- map->p[j]->extra - bmap->n_div);
+ map->p[j]->n_div - bmap->n_div);
}
}
if (!map1 || !map2)
goto error;
- isl_assert(map1->ctx, map1->nparam == map2->nparam, goto error);
- isl_assert(map1->ctx, map1->n_in == map2->n_in, goto error);
- isl_assert(map1->ctx, map1->n_out == map2->n_out, goto error);
+ isl_assert(map1->ctx, isl_dim_equal(map1->dim, map2->dim), goto error);
if (isl_map_is_empty(map2)) {
isl_map_free(map2);
{
if (!set || !map)
goto error;
- isl_assert(set->ctx, set->dim == map->n_in, goto error);
+ isl_assert(set->ctx, isl_map_compatible_domain(map, set), goto error);
map = isl_map_intersect_domain(map, set);
set = isl_map_range(map);
return set;
if (!F_ISSET(map->p[i], ISL_BASIC_MAP_EMPTY))
continue;
isl_basic_map_free(map->p[i]);
- if (i != map->n-1)
+ if (i != map->n-1) {
+ F_CLR(map, ISL_MAP_NORMALIZED);
map->p[i] = map->p[map->n-1];
+ }
map->n--;
}
return (struct isl_set *)
isl_map_remove_empty_parts((struct isl_map *)set);
}
+
+struct isl_basic_map *isl_map_copy_basic_map(struct isl_map *map)
+{
+ struct isl_basic_map *bmap;
+ if (!map || map->n == 0)
+ return NULL;
+ bmap = map->p[map->n-1];
+ isl_assert(map->ctx, F_ISSET(bmap, ISL_BASIC_SET_FINAL), return NULL);
+ return isl_basic_map_copy(bmap);
+}
+
+struct isl_basic_set *isl_set_copy_basic_set(struct isl_set *set)
+{
+ (struct isl_basic_set *)isl_map_copy_basic_map((struct isl_map *)set);
+}
+
+struct isl_map *isl_map_drop_basic_map(struct isl_map *map,
+ struct isl_basic_map *bmap)
+{
+ int i;
+
+ if (!map || !bmap)
+ goto error;
+ for (i = map->n-1; i >= 0; --i) {
+ if (map->p[i] != bmap)
+ continue;
+ map = isl_map_cow(map);
+ if (!map)
+ goto error;
+ isl_basic_map_free(map->p[i]);
+ if (i != map->n-1) {
+ F_CLR(map, ISL_SET_NORMALIZED);
+ map->p[i] = map->p[map->n-1];
+ }
+ map->n--;
+ return map;
+ }
+ isl_basic_map_free(bmap);
+ return map;
+error:
+ isl_map_free(map);
+ isl_basic_map_free(bmap);
+ return NULL;
+}
+
+struct isl_set *isl_set_drop_basic_set(struct isl_set *set,
+ struct isl_basic_set *bset)
+{
+ (struct isl_set *)isl_map_drop_basic_map((struct isl_map *)set,
+ (struct isl_basic_map *)bset);
+}
+
+/* Given two _disjoint_ basic sets bset1 and bset2, check whether
+ * for any common value of the parameters and dimensions preceding dim
+ * in both basic sets, the values of dimension pos in bset1 are
+ * smaller or larger than those in bset2.
+ *
+ * Returns
+ * 1 if bset1 follows bset2
+ * -1 if bset1 precedes bset2
+ * 0 if bset1 and bset2 are incomparable
+ * -2 if some error occurred.
+ */
+int isl_basic_set_compare_at(struct isl_basic_set *bset1,
+ struct isl_basic_set *bset2, int pos)
+{
+ struct isl_dim *dims;
+ struct isl_basic_map *bmap1 = NULL;
+ struct isl_basic_map *bmap2 = NULL;
+ struct isl_ctx *ctx;
+ struct isl_vec *obj;
+ unsigned total;
+ unsigned nparam;
+ unsigned dim1, dim2;
+ isl_int num, den;
+ enum isl_lp_result res;
+ int cmp;
+
+ if (!bset1 || !bset2)
+ return -2;
+
+ nparam = isl_basic_set_n_param(bset1);
+ dim1 = isl_basic_set_n_dim(bset1);
+ dim2 = isl_basic_set_n_dim(bset2);
+ dims = isl_dim_alloc(bset1->ctx, nparam, pos, dim1 - pos);
+ bmap1 = isl_basic_map_from_basic_set(isl_basic_set_copy(bset1), dims);
+ dims = isl_dim_alloc(bset2->ctx, nparam, pos, dim2 - pos);
+ bmap2 = isl_basic_map_from_basic_set(isl_basic_set_copy(bset2), dims);
+ if (!bmap1 || !bmap2)
+ goto error;
+ bmap1 = isl_basic_map_extend(bmap1, nparam,
+ pos, (dim1 - pos) + (dim2 - pos),
+ bmap2->n_div, bmap2->n_eq, bmap2->n_ineq);
+ bmap1 = add_constraints(bmap1, bmap2, 0, dim1 - pos);
+ if (!bmap1)
+ goto error;
+ total = isl_basic_map_total_dim(bmap1);
+ ctx = bmap1->ctx;
+ obj = isl_vec_alloc(ctx, total);
+ isl_seq_clr(obj->block.data, total);
+ isl_int_set_si(obj->block.data[nparam+pos], 1);
+ isl_int_set_si(obj->block.data[nparam+pos+(dim1-pos)], -1);
+ if (!obj)
+ goto error;
+ isl_int_init(num);
+ isl_int_init(den);
+ res = isl_solve_lp(bmap1, 0, obj->block.data, ctx->one, &num, &den);
+ if (res == isl_lp_empty)
+ cmp = 0;
+ else if (res == isl_lp_ok && isl_int_is_pos(num))
+ cmp = 1;
+ else if ((res == isl_lp_ok && isl_int_is_neg(num)) ||
+ res == isl_lp_unbounded)
+ cmp = -1;
+ else
+ cmp = -2;
+ isl_int_clear(num);
+ isl_int_clear(den);
+ isl_basic_map_free(bmap1);
+ isl_vec_free(ctx, obj);
+ return cmp;
+error:
+ isl_basic_map_free(bmap1);
+ isl_basic_map_free(bmap2);
+ return -2;
+}
+
+static int isl_basic_map_fast_has_fixed_var(struct isl_basic_map *bmap,
+ unsigned pos, isl_int *val)
+{
+ int i;
+ int d;
+ unsigned total;
+
+ if (!bmap)
+ return -1;
+ total = isl_basic_map_total_dim(bmap);
+ for (i = 0, d = total-1; i < bmap->n_eq && d+1 > pos; ++i) {
+ for (; d+1 > pos; --d)
+ if (!isl_int_is_zero(bmap->eq[i][1+d]))
+ break;
+ if (d != pos)
+ continue;
+ if (isl_seq_first_non_zero(bmap->eq[i]+1, d) != -1)
+ return 0;
+ if (isl_seq_first_non_zero(bmap->eq[i]+1+d+1, total-d-1) != -1)
+ return 0;
+ if (!isl_int_is_one(bmap->eq[i][1+d]))
+ return 0;
+ if (val)
+ isl_int_neg(*val, bmap->eq[i][0]);
+ return 1;
+ }
+ return 0;
+}
+
+static int isl_map_fast_has_fixed_var(struct isl_map *map,
+ unsigned pos, isl_int *val)
+{
+ int i;
+ isl_int v;
+ isl_int tmp;
+ int fixed;
+
+ if (!map)
+ return -1;
+ if (map->n == 0)
+ return 0;
+ if (map->n == 1)
+ return isl_basic_map_fast_has_fixed_var(map->p[0], pos, val);
+ isl_int_init(v);
+ isl_int_init(tmp);
+ fixed = isl_basic_map_fast_has_fixed_var(map->p[0], pos, &v);
+ for (i = 1; fixed == 1 && i < map->n; ++i) {
+ fixed = isl_basic_map_fast_has_fixed_var(map->p[i], pos, &tmp);
+ if (fixed == 1 && isl_int_ne(tmp, v))
+ fixed = 0;
+ }
+ if (val)
+ isl_int_set(*val, v);
+ isl_int_clear(tmp);
+ isl_int_clear(v);
+ return fixed;
+}
+
+static int isl_set_fast_has_fixed_var(struct isl_set *set, unsigned pos,
+ isl_int *val)
+{
+ return isl_map_fast_has_fixed_var((struct isl_map *)set, pos, val);
+}
+
+int isl_basic_map_fast_is_fixed(struct isl_basic_map *bmap,
+ enum isl_dim_type type, unsigned pos, isl_int *val)
+{
+ if (pos >= isl_basic_map_dim(bmap, type))
+ return -1;
+ return isl_basic_map_fast_has_fixed_var(bmap,
+ isl_basic_map_offset(bmap, type) - 1 + pos, val);
+}
+
+/* Check if dimension dim has fixed value and if so and if val is not NULL,
+ * then return this fixed value in *val.
+ */
+int isl_set_fast_dim_is_fixed(struct isl_set *set, unsigned dim, isl_int *val)
+{
+ return isl_set_fast_has_fixed_var(set, isl_set_n_param(set) + dim, val);
+}
+
+/* Check if input variable in has fixed value and if so and if val is not NULL,
+ * then return this fixed value in *val.
+ */
+int isl_map_fast_input_is_fixed(struct isl_map *map, unsigned in, isl_int *val)
+{
+ return isl_map_fast_has_fixed_var(map, isl_map_n_param(map) + in, val);
+}
+
+/* Check if dimension dim has an (obvious) fixed lower bound and if so
+ * and if val is not NULL, then return this lower bound in *val.
+ */
+int isl_basic_set_fast_dim_has_fixed_lower_bound(struct isl_basic_set *bset,
+ unsigned dim, isl_int *val)
+{
+ int i, i_eq = -1, i_ineq = -1;
+ isl_int *c;
+ unsigned total;
+ unsigned nparam;
+
+ if (!bset)
+ return -1;
+ total = isl_basic_set_total_dim(bset);
+ nparam = isl_basic_set_n_param(bset);
+ for (i = 0; i < bset->n_eq; ++i) {
+ if (isl_int_is_zero(bset->eq[i][1+nparam+dim]))
+ continue;
+ if (i_eq != -1)
+ return 0;
+ i_eq = i;
+ }
+ for (i = 0; i < bset->n_ineq; ++i) {
+ if (!isl_int_is_pos(bset->ineq[i][1+nparam+dim]))
+ continue;
+ if (i_eq != -1 || i_ineq != -1)
+ return 0;
+ i_ineq = i;
+ }
+ if (i_eq == -1 && i_ineq == -1)
+ return 0;
+ c = i_eq != -1 ? bset->eq[i_eq] : bset->ineq[i_ineq];
+ /* The coefficient should always be one due to normalization. */
+ if (!isl_int_is_one(c[1+nparam+dim]))
+ return 0;
+ if (isl_seq_first_non_zero(c+1, nparam+dim) != -1)
+ return 0;
+ if (isl_seq_first_non_zero(c+1+nparam+dim+1,
+ total - nparam - dim - 1) != -1)
+ return 0;
+ if (val)
+ isl_int_neg(*val, c[0]);
+ return 1;
+}
+
+int isl_set_fast_dim_has_fixed_lower_bound(struct isl_set *set,
+ unsigned dim, isl_int *val)
+{
+ int i;
+ isl_int v;
+ isl_int tmp;
+ int fixed;
+
+ if (!set)
+ return -1;
+ if (set->n == 0)
+ return 0;
+ if (set->n == 1)
+ return isl_basic_set_fast_dim_has_fixed_lower_bound(set->p[0],
+ dim, val);
+ isl_int_init(v);
+ isl_int_init(tmp);
+ fixed = isl_basic_set_fast_dim_has_fixed_lower_bound(set->p[0],
+ dim, &v);
+ for (i = 1; fixed == 1 && i < set->n; ++i) {
+ fixed = isl_basic_set_fast_dim_has_fixed_lower_bound(set->p[i],
+ dim, &tmp);
+ if (fixed == 1 && isl_int_ne(tmp, v))
+ fixed = 0;
+ }
+ if (val)
+ isl_int_set(*val, v);
+ isl_int_clear(tmp);
+ isl_int_clear(v);
+ return fixed;
+}
+
+struct constraint {
+ unsigned size;
+ isl_int *c;
+};
+
+static int qsort_constraint_cmp(const void *p1, const void *p2)
+{
+ const struct constraint *c1 = (const struct constraint *)p1;
+ const struct constraint *c2 = (const struct constraint *)p2;
+ unsigned size = isl_min(c1->size, c2->size);
+ return isl_seq_cmp(c1->c, c2->c, size);
+}
+
+static struct isl_basic_map *isl_basic_map_sort_constraints(
+ struct isl_basic_map *bmap)
+{
+ int i;
+ struct constraint *c;
+ unsigned total;
+
+ if (!bmap)
+ return NULL;
+ total = isl_basic_map_total_dim(bmap);
+ c = isl_alloc_array(bmap->ctx, struct constraint, bmap->n_ineq);
+ if (!c)
+ goto error;
+ for (i = 0; i < bmap->n_ineq; ++i) {
+ c[i].size = total;
+ c[i].c = bmap->ineq[i];
+ }
+ qsort(c, bmap->n_ineq, sizeof(struct constraint), qsort_constraint_cmp);
+ for (i = 0; i < bmap->n_ineq; ++i)
+ bmap->ineq[i] = c[i].c;
+ free(c);
+ return bmap;
+error:
+ isl_basic_map_free(bmap);
+ return NULL;
+}
+
+struct isl_basic_map *isl_basic_map_normalize(struct isl_basic_map *bmap)
+{
+ if (!bmap)
+ return NULL;
+ if (F_ISSET(bmap, ISL_BASIC_MAP_NORMALIZED))
+ return bmap;
+ bmap = isl_basic_map_convex_hull(bmap);
+ bmap = isl_basic_map_sort_constraints(bmap);
+ F_SET(bmap, ISL_BASIC_MAP_NORMALIZED);
+ return bmap;
+}
+
+struct isl_basic_set *isl_basic_set_normalize(struct isl_basic_set *bset)
+{
+ return (struct isl_basic_set *)isl_basic_map_normalize(
+ (struct isl_basic_map *)bset);
+}
+
+static int isl_basic_map_fast_cmp(const struct isl_basic_map *bmap1,
+ const struct isl_basic_map *bmap2)
+{
+ int i, cmp;
+ unsigned total;
+
+ if (bmap1 == bmap2)
+ return 0;
+ if (isl_basic_map_n_param(bmap1) != isl_basic_map_n_param(bmap2))
+ return isl_basic_map_n_param(bmap1) - isl_basic_map_n_param(bmap2);
+ if (isl_basic_map_n_in(bmap1) != isl_basic_map_n_in(bmap2))
+ return isl_basic_map_n_out(bmap1) - isl_basic_map_n_out(bmap2);
+ if (isl_basic_map_n_out(bmap1) != isl_basic_map_n_out(bmap2))
+ return isl_basic_map_n_out(bmap1) - isl_basic_map_n_out(bmap2);
+ if (F_ISSET(bmap1, ISL_BASIC_MAP_EMPTY) &&
+ F_ISSET(bmap2, ISL_BASIC_MAP_EMPTY))
+ return 0;
+ if (F_ISSET(bmap1, ISL_BASIC_MAP_EMPTY))
+ return 1;
+ if (F_ISSET(bmap2, ISL_BASIC_MAP_EMPTY))
+ return -1;
+ if (bmap1->n_eq != bmap2->n_eq)
+ return bmap1->n_eq - bmap2->n_eq;
+ if (bmap1->n_ineq != bmap2->n_ineq)
+ return bmap1->n_ineq - bmap2->n_ineq;
+ if (bmap1->n_div != bmap2->n_div)
+ return bmap1->n_div - bmap2->n_div;
+ total = isl_basic_map_total_dim(bmap1);
+ for (i = 0; i < bmap1->n_eq; ++i) {
+ cmp = isl_seq_cmp(bmap1->eq[i], bmap2->eq[i], 1+total);
+ if (cmp)
+ return cmp;
+ }
+ for (i = 0; i < bmap1->n_ineq; ++i) {
+ cmp = isl_seq_cmp(bmap1->ineq[i], bmap2->ineq[i], 1+total);
+ if (cmp)
+ return cmp;
+ }
+ for (i = 0; i < bmap1->n_div; ++i) {
+ cmp = isl_seq_cmp(bmap1->div[i], bmap2->div[i], 1+1+total);
+ if (cmp)
+ return cmp;
+ }
+ return 0;
+}
+
+static int isl_basic_map_fast_is_equal(struct isl_basic_map *bmap1,
+ struct isl_basic_map *bmap2)
+{
+ return isl_basic_map_fast_cmp(bmap1, bmap2) == 0;
+}
+
+static int qsort_bmap_cmp(const void *p1, const void *p2)
+{
+ const struct isl_basic_map *bmap1 = *(const struct isl_basic_map **)p1;
+ const struct isl_basic_map *bmap2 = *(const struct isl_basic_map **)p2;
+
+ return isl_basic_map_fast_cmp(bmap1, bmap2);
+}
+
+/* We normalize in place, but if anything goes wrong we need
+ * to return NULL, so we need to make sure we don't change the
+ * meaning of any possible other copies of map.
+ */
+struct isl_map *isl_map_normalize(struct isl_map *map)
+{
+ int i, j;
+ struct isl_basic_map *bmap;
+
+ if (!map)
+ return NULL;
+ if (F_ISSET(map, ISL_MAP_NORMALIZED))
+ return map;
+ for (i = 0; i < map->n; ++i) {
+ bmap = isl_basic_map_normalize(isl_basic_map_copy(map->p[i]));
+ if (!bmap)
+ goto error;
+ isl_basic_map_free(map->p[i]);
+ map->p[i] = bmap;
+ }
+ qsort(map->p, map->n, sizeof(struct isl_basic_map *), qsort_bmap_cmp);
+ F_SET(map, ISL_MAP_NORMALIZED);
+ map = isl_map_remove_empty_parts(map);
+ if (!map)
+ return NULL;
+ for (i = map->n - 1; i >= 1; --i) {
+ if (!isl_basic_map_fast_is_equal(map->p[i-1], map->p[i]))
+ continue;
+ isl_basic_map_free(map->p[i-1]);
+ for (j = i; j < map->n; ++j)
+ map->p[j-1] = map->p[j];
+ map->n--;
+ }
+ return map;
+error:
+ isl_map_free(map);
+ return NULL;
+
+}
+
+struct isl_set *isl_set_normalize(struct isl_set *set)
+{
+ return (struct isl_set *)isl_map_normalize((struct isl_map *)set);
+}
+
+int isl_map_fast_is_equal(struct isl_map *map1, struct isl_map *map2)
+{
+ int i;
+ int equal;
+
+ if (!map1 || !map2)
+ return -1;
+
+ if (map1 == map2)
+ return 1;
+ if (!isl_dim_equal(map1->dim, map2->dim))
+ return 0;
+
+ map1 = isl_map_copy(map1);
+ map2 = isl_map_copy(map2);
+ map1 = isl_map_normalize(map1);
+ map2 = isl_map_normalize(map2);
+ if (!map1 || !map2)
+ goto error;
+ equal = map1->n == map2->n;
+ for (i = 0; equal && i < map1->n; ++i) {
+ equal = isl_basic_map_fast_is_equal(map1->p[i], map2->p[i]);
+ if (equal < 0)
+ goto error;
+ }
+ isl_map_free(map1);
+ isl_map_free(map2);
+ return equal;
+error:
+ isl_map_free(map1);
+ isl_map_free(map2);
+ return -1;
+}
+
+int isl_set_fast_is_equal(struct isl_set *set1, struct isl_set *set2)
+{
+ return isl_map_fast_is_equal((struct isl_map *)set1,
+ (struct isl_map *)set2);
+}
+
+/* Return an interval that ranges from min to max (inclusive)
+ */
+struct isl_basic_set *isl_basic_set_interval(struct isl_ctx *ctx,
+ isl_int min, isl_int max)
+{
+ int k;
+ struct isl_basic_set *bset = NULL;
+
+ bset = isl_basic_set_alloc(ctx, 0, 1, 0, 0, 2);
+ if (!bset)
+ goto error;
+
+ k = isl_basic_set_alloc_inequality(bset);
+ if (k < 0)
+ goto error;
+ isl_int_set_si(bset->ineq[k][1], 1);
+ isl_int_neg(bset->ineq[k][0], min);
+
+ k = isl_basic_set_alloc_inequality(bset);
+ if (k < 0)
+ goto error;
+ isl_int_set_si(bset->ineq[k][1], -1);
+ isl_int_set(bset->ineq[k][0], max);
+
+ return bset;
+error:
+ isl_basic_set_free(bset);
+ return NULL;
+}
+
+/* Return the Cartesian product of the basic sets in list (in the given order).
+ */
+struct isl_basic_set *isl_basic_set_product(struct isl_basic_set_list *list)
+{
+ int i;
+ unsigned dim;
+ unsigned nparam;
+ unsigned extra;
+ unsigned n_eq;
+ unsigned n_ineq;
+ struct isl_basic_set *product = NULL;
+
+ if (!list)
+ goto error;
+ isl_assert(list->ctx, list->n > 0, goto error);
+ isl_assert(list->ctx, list->p[0], goto error);
+ nparam = isl_basic_set_n_param(list->p[0]);
+ dim = isl_basic_set_n_dim(list->p[0]);
+ extra = list->p[0]->n_div;
+ n_eq = list->p[0]->n_eq;
+ n_ineq = list->p[0]->n_ineq;
+ for (i = 1; i < list->n; ++i) {
+ isl_assert(list->ctx, list->p[i], goto error);
+ isl_assert(list->ctx,
+ nparam == isl_basic_set_n_param(list->p[i]), goto error);
+ dim += isl_basic_set_n_dim(list->p[i]);
+ extra += list->p[i]->n_div;
+ n_eq += list->p[i]->n_eq;
+ n_ineq += list->p[i]->n_ineq;
+ }
+ product = isl_basic_set_alloc(list->ctx, nparam, dim, extra,
+ n_eq, n_ineq);
+ if (!product)
+ goto error;
+ dim = 0;
+ for (i = 0; i < list->n; ++i) {
+ isl_basic_set_add_constraints(product,
+ isl_basic_set_copy(list->p[i]), dim);
+ dim += isl_basic_set_n_dim(list->p[i]);
+ }
+ isl_basic_set_list_free(list);
+ return product;
+error:
+ isl_basic_set_free(product);
+ isl_basic_set_list_free(list);
+ return NULL;
+}
+
+struct isl_basic_map *isl_basic_map_product(
+ struct isl_basic_map *bmap1, struct isl_basic_map *bmap2)
+{
+ struct isl_dim *dim_result = NULL;
+ struct isl_basic_map *bmap;
+ unsigned in1, in2, out1, out2, nparam, total, pos;
+ struct isl_dim_map *dim_map1, *dim_map2;
+
+ if (!bmap1 || !bmap2)
+ goto error;
+
+ isl_assert(map1->ctx, isl_dim_match(bmap1->dim, isl_dim_param,
+ bmap2->dim, isl_dim_param), goto error);
+ dim_result = isl_dim_product(isl_dim_copy(bmap1->dim),
+ isl_dim_copy(bmap2->dim));
+
+ in1 = isl_basic_map_n_in(bmap1);
+ in2 = isl_basic_map_n_in(bmap2);
+ out1 = isl_basic_map_n_out(bmap1);
+ out2 = isl_basic_map_n_out(bmap2);
+ nparam = isl_basic_map_n_param(bmap1);
+
+ total = nparam + in1 + in2 + out1 + out2 + bmap1->n_div + bmap2->n_div;
+ dim_map1 = isl_dim_map_alloc(bmap1->ctx, total);
+ dim_map2 = isl_dim_map_alloc(bmap1->ctx, total);
+ isl_dim_map_dim(dim_map1, bmap1->dim, isl_dim_param, pos = 0);
+ isl_dim_map_dim(dim_map2, bmap2->dim, isl_dim_param, pos = 0);
+ isl_dim_map_dim(dim_map1, bmap1->dim, isl_dim_in, pos += nparam);
+ isl_dim_map_dim(dim_map2, bmap2->dim, isl_dim_in, pos += in1);
+ isl_dim_map_dim(dim_map1, bmap1->dim, isl_dim_out, pos += in2);
+ isl_dim_map_dim(dim_map2, bmap2->dim, isl_dim_out, pos += out1);
+ isl_dim_map_div(dim_map1, bmap1, pos += out2);
+ isl_dim_map_div(dim_map2, bmap2, pos += bmap1->n_div);
+
+ bmap = isl_basic_map_alloc_dim(dim_result,
+ bmap1->n_div + bmap2->n_div,
+ bmap1->n_eq + bmap2->n_eq,
+ bmap1->n_ineq + bmap2->n_ineq);
+ bmap = add_constraints_dim_map(bmap, bmap1, dim_map1);
+ bmap = add_constraints_dim_map(bmap, bmap2, dim_map2);
+ bmap = isl_basic_map_simplify(bmap);
+ return isl_basic_map_finalize(bmap);
+error:
+ isl_basic_map_free(bmap1);
+ isl_basic_map_free(bmap2);
+ return NULL;
+}
+
+/* Given two maps A -> B and C -> D, construct a map (A, C) -> (B, D)
+ */
+struct isl_map *isl_map_product(struct isl_map *map1, struct isl_map *map2)
+{
+ unsigned flags = 0;
+ struct isl_map *result;
+ int i, j;
+
+ if (!map1 || !map2)
+ goto error;
+
+ isl_assert(map1->ctx, isl_dim_match(map1->dim, isl_dim_param,
+ map2->dim, isl_dim_param), goto error);
+
+ if (F_ISSET(map1, ISL_MAP_DISJOINT) &&
+ F_ISSET(map2, ISL_MAP_DISJOINT))
+ FL_SET(flags, ISL_MAP_DISJOINT);
+
+ result = isl_map_alloc_dim(isl_dim_product(isl_dim_copy(map1->dim),
+ isl_dim_copy(map2->dim)),
+ map1->n * map2->n, flags);
+ if (!result)
+ goto error;
+ for (i = 0; i < map1->n; ++i)
+ for (j = 0; j < map2->n; ++j) {
+ struct isl_basic_map *part;
+ part = isl_basic_map_product(
+ isl_basic_map_copy(map1->p[i]),
+ isl_basic_map_copy(map2->p[j]));
+ if (isl_basic_map_is_empty(part))
+ isl_basic_map_free(part);
+ else
+ result = isl_map_add(result, part);
+ if (!result)
+ goto error;
+ }
+ isl_map_free(map1);
+ isl_map_free(map2);
+ return result;
+error:
+ isl_map_free(map1);
+ isl_map_free(map2);
+ return NULL;
+}
+
+uint32_t isl_basic_set_get_hash(struct isl_basic_set *bset)
+{
+ int i;
+ uint32_t hash;
+ unsigned total;
+
+ if (!bset)
+ return 0;
+ bset = isl_basic_set_copy(bset);
+ bset = isl_basic_set_normalize(bset);
+ if (!bset)
+ return 0;
+ total = isl_basic_set_total_dim(bset);
+ isl_hash_byte(hash, bset->n_eq & 0xFF);
+ for (i = 0; i < bset->n_eq; ++i) {
+ uint32_t c_hash;
+ c_hash = isl_seq_get_hash(bset->eq[i], 1 + total);
+ isl_hash_hash(hash, c_hash);
+ }
+ isl_hash_byte(hash, bset->n_ineq & 0xFF);
+ for (i = 0; i < bset->n_ineq; ++i) {
+ uint32_t c_hash;
+ c_hash = isl_seq_get_hash(bset->ineq[i], 1 + total);
+ isl_hash_hash(hash, c_hash);
+ }
+ isl_hash_byte(hash, bset->n_div & 0xFF);
+ for (i = 0; i < bset->n_div; ++i) {
+ uint32_t c_hash;
+ if (isl_int_is_zero(bset->div[i][0]))
+ continue;
+ isl_hash_byte(hash, i & 0xFF);
+ c_hash = isl_seq_get_hash(bset->div[i], 1 + 1 + total);
+ isl_hash_hash(hash, c_hash);
+ }
+ isl_basic_set_free(bset);
+ return hash;
+}
+
+uint32_t isl_set_get_hash(struct isl_set *set)
+{
+ int i;
+ uint32_t hash;
+
+ if (!set)
+ return 0;
+ set = isl_set_copy(set);
+ set = isl_set_normalize(set);
+ if (!set)
+ return 0;
+
+ hash = isl_hash_init();
+ for (i = 0; i < set->n; ++i) {
+ uint32_t bset_hash;
+ bset_hash = isl_basic_set_get_hash(set->p[i]);
+ isl_hash_hash(hash, bset_hash);
+ }
+
+ isl_set_free(set);
+
+ return hash;
+}
+
+/* Check if the value for dimension dim is completely determined
+ * by the values of the other parameters and variables.
+ * That is, check if dimension dim is involved in an equality.
+ */
+int isl_basic_set_dim_is_unique(struct isl_basic_set *bset, unsigned dim)
+{
+ int i;
+ unsigned nparam;
+
+ if (!bset)
+ return -1;
+ nparam = isl_basic_set_n_param(bset);
+ for (i = 0; i < bset->n_eq; ++i)
+ if (!isl_int_is_zero(bset->eq[i][1 + nparam + dim]))
+ return 1;
+ return 0;
+}
+
+/* Check if the value for dimension dim is completely determined
+ * by the values of the other parameters and variables.
+ * That is, check if dimension dim is involved in an equality
+ * for each of the subsets.
+ */
+int isl_set_dim_is_unique(struct isl_set *set, unsigned dim)
+{
+ int i;
+
+ if (!set)
+ return -1;
+ for (i = 0; i < set->n; ++i) {
+ int unique;
+ unique = isl_basic_set_dim_is_unique(set->p[i], dim);
+ if (unique != 1)
+ return unique;
+ }
+ return 1;
+}