*/
#include <stdlib.h>
+#include <isl_ctx_private.h>
+#include <isl_map_private.h>
#include <isl_factorization.h>
#include <isl/lp.h>
#include <isl/seq.h>
#include <isl_polynomial_private.h>
#include <isl_point_private.h>
#include <isl_dim_private.h>
-#include <isl_map_private.h>
+#include <isl_div_private.h>
#include <isl_mat_private.h>
#include <isl_range.h>
+#include <isl_local_space_private.h>
+#include <isl_aff_private.h>
+#include <isl_config.h>
static unsigned pos(__isl_keep isl_dim *dim, enum isl_dim_type type)
{
isl_assert(ctx, size >= 0, return NULL);
rec = isl_calloc(ctx, struct isl_upoly_rec,
sizeof(struct isl_upoly_rec) +
- (size - 1) * sizeof(struct isl_upoly *));
+ size * sizeof(struct isl_upoly *));
if (!rec)
return NULL;
__isl_give struct isl_upoly *isl_upoly_dup(__isl_keep struct isl_upoly *up)
{
- struct isl_upoly *dup;
-
if (!up)
return NULL;
return NULL;
}
-__isl_give struct isl_upoly *isl_upoly_neg_cst(__isl_take struct isl_upoly *up)
+__isl_give struct isl_upoly *isl_upoly_cst_add_isl_int(
+ __isl_take struct isl_upoly *up, isl_int v)
+{
+ struct isl_upoly_cst *cst;
+
+ up = isl_upoly_cow(up);
+ if (!up)
+ return NULL;
+
+ cst = isl_upoly_as_cst(up);
+
+ isl_int_addmul(cst->n, cst->d, v);
+
+ return up;
+}
+
+__isl_give struct isl_upoly *isl_upoly_add_isl_int(
+ __isl_take struct isl_upoly *up, isl_int v)
+{
+ struct isl_upoly_rec *rec;
+
+ if (!up)
+ return NULL;
+
+ if (isl_upoly_is_cst(up))
+ return isl_upoly_cst_add_isl_int(up, v);
+
+ up = isl_upoly_cow(up);
+ rec = isl_upoly_as_rec(up);
+ if (!rec)
+ goto error;
+
+ rec->p[0] = isl_upoly_add_isl_int(rec->p[0], v);
+ if (!rec->p[0])
+ goto error;
+
+ return up;
+error:
+ isl_upoly_free(up);
+ return NULL;
+}
+
+__isl_give struct isl_upoly *isl_upoly_cst_mul_isl_int(
+ __isl_take struct isl_upoly *up, isl_int v)
{
struct isl_upoly_cst *cst;
cst = isl_upoly_as_cst(up);
- isl_int_neg(cst->n, cst->n);
+ isl_int_mul(cst->n, cst->n, v);
return up;
}
-__isl_give struct isl_upoly *isl_upoly_neg(__isl_take struct isl_upoly *up)
+__isl_give struct isl_upoly *isl_upoly_mul_isl_int(
+ __isl_take struct isl_upoly *up, isl_int v)
{
int i;
struct isl_upoly_rec *rec;
return NULL;
if (isl_upoly_is_cst(up))
- return isl_upoly_neg_cst(up);
+ return isl_upoly_cst_mul_isl_int(up, v);
up = isl_upoly_cow(up);
rec = isl_upoly_as_rec(up);
goto error;
for (i = 0; i < rec->n; ++i) {
- rec->p[i] = isl_upoly_neg(rec->p[i]);
+ rec->p[i] = isl_upoly_mul_isl_int(rec->p[i], v);
if (!rec->p[i])
goto error;
}
{
struct isl_upoly_rec *rec1;
struct isl_upoly_rec *rec2;
- struct isl_upoly_rec *res;
+ struct isl_upoly_rec *res = NULL;
int i, j;
int size;
__isl_give struct isl_upoly *isl_upoly_var_pow(isl_ctx *ctx, int pos, int power)
{
int i;
- struct isl_upoly *up;
struct isl_upoly_rec *rec;
struct isl_upoly_cst *cst;
return equal;
}
-static void expand_row(__isl_keep isl_mat *dst, int d,
- __isl_keep isl_mat *src, int s, int *exp)
-{
- int i;
- unsigned c = src->n_col - src->n_row;
-
- isl_seq_cpy(dst->row[d], src->row[s], c);
- isl_seq_clr(dst->row[d] + c, dst->n_col - c);
-
- for (i = 0; i < s; ++i)
- isl_int_set(dst->row[d][c + exp[i]], src->row[s][c + i]);
-}
-
static int cmp_row(__isl_keep isl_mat *div, int i, int j)
{
int li, lj;
return NULL;
}
-static __isl_give isl_mat *merge_divs(__isl_keep isl_mat *div1,
- __isl_keep isl_mat *div2, int *exp1, int *exp2)
-{
- int i, j, k;
- isl_mat *div = NULL;
- unsigned d = div1->n_col - div1->n_row;
-
- div = isl_mat_alloc(div1->ctx, 1 + div1->n_row + div2->n_row,
- d + div1->n_row + div2->n_row);
- if (!div)
- return NULL;
-
- for (i = 0, j = 0, k = 0; i < div1->n_row && j < div2->n_row; ++k) {
- int cmp;
-
- expand_row(div, k, div1, i, exp1);
- expand_row(div, k + 1, div2, j, exp2);
-
- cmp = cmp_row(div, k, k + 1);
- if (cmp == 0) {
- exp1[i++] = k;
- exp2[j++] = k;
- } else if (cmp < 0) {
- exp1[i++] = k;
- } else {
- exp2[j++] = k;
- isl_seq_cpy(div->row[k], div->row[k + 1], div->n_col);
- }
- }
- for (; i < div1->n_row; ++i, ++k) {
- expand_row(div, k, div1, i, exp1);
- exp1[i] = k;
- }
- for (; j < div2->n_row; ++j, ++k) {
- expand_row(div, k, div2, j, exp2);
- exp2[j] = k;
- }
-
- div->n_row = k;
- div->n_col = d + k;
-
- return div;
-}
-
static __isl_give struct isl_upoly *expand(__isl_take struct isl_upoly *up,
int *exp, int first)
{
if (!exp1 || !exp2)
goto error;
- div = merge_divs(qp1->div, qp2->div, exp1, exp2);
+ div = isl_merge_divs(qp1->div, qp2->div, exp1, exp2);
if (!div)
goto error;
__isl_take isl_qpolynomial *qp1,
__isl_take isl_qpolynomial *qp2)
{
- return isl_qpolynomial_add(qp1, qp2);
+ qp1 = isl_qpolynomial_add(qp1, qp2);
+ qp1 = isl_qpolynomial_gist(qp1, isl_set_copy(dom));
+ return qp1;
}
__isl_give isl_qpolynomial *isl_qpolynomial_sub(__isl_take isl_qpolynomial *qp1,
return isl_qpolynomial_add(qp1, isl_qpolynomial_neg(qp2));
}
-__isl_give isl_qpolynomial *isl_qpolynomial_neg(__isl_take isl_qpolynomial *qp)
+__isl_give isl_qpolynomial *isl_qpolynomial_add_isl_int(
+ __isl_take isl_qpolynomial *qp, isl_int v)
{
+ if (isl_int_is_zero(v))
+ return qp;
+
qp = isl_qpolynomial_cow(qp);
+ if (!qp)
+ return NULL;
+
+ qp->upoly = isl_upoly_add_isl_int(qp->upoly, v);
+ if (!qp->upoly)
+ goto error;
+ return qp;
+error:
+ isl_qpolynomial_free(qp);
+ return NULL;
+
+}
+
+__isl_give isl_qpolynomial *isl_qpolynomial_neg(__isl_take isl_qpolynomial *qp)
+{
+ if (!qp)
+ return NULL;
+
+ return isl_qpolynomial_mul_isl_int(qp, qp->dim->ctx->negone);
+}
+
+__isl_give isl_qpolynomial *isl_qpolynomial_mul_isl_int(
+ __isl_take isl_qpolynomial *qp, isl_int v)
+{
+ if (isl_int_is_one(v))
+ return qp;
+
+ if (qp && isl_int_is_zero(v)) {
+ isl_qpolynomial *zero;
+ zero = isl_qpolynomial_zero(isl_dim_copy(qp->dim));
+ isl_qpolynomial_free(qp);
+ return zero;
+ }
+
+ qp = isl_qpolynomial_cow(qp);
if (!qp)
return NULL;
- qp->upoly = isl_upoly_neg(qp->upoly);
+ qp->upoly = isl_upoly_mul_isl_int(qp->upoly, v);
if (!qp->upoly)
goto error;
__isl_give isl_qpolynomial *isl_qpolynomial_zero(__isl_take isl_dim *dim)
{
+ if (!dim)
+ return NULL;
return isl_qpolynomial_alloc(dim, 0, isl_upoly_zero(dim->ctx));
}
__isl_give isl_qpolynomial *isl_qpolynomial_one(__isl_take isl_dim *dim)
{
+ if (!dim)
+ return NULL;
return isl_qpolynomial_alloc(dim, 0, isl_upoly_one(dim->ctx));
}
__isl_give isl_qpolynomial *isl_qpolynomial_infty(__isl_take isl_dim *dim)
{
+ if (!dim)
+ return NULL;
return isl_qpolynomial_alloc(dim, 0, isl_upoly_infty(dim->ctx));
}
__isl_give isl_qpolynomial *isl_qpolynomial_neginfty(__isl_take isl_dim *dim)
{
+ if (!dim)
+ return NULL;
return isl_qpolynomial_alloc(dim, 0, isl_upoly_neginfty(dim->ctx));
}
__isl_give isl_qpolynomial *isl_qpolynomial_nan(__isl_take isl_dim *dim)
{
+ if (!dim)
+ return NULL;
return isl_qpolynomial_alloc(dim, 0, isl_upoly_nan(dim->ctx));
}
struct isl_qpolynomial *qp;
struct isl_upoly_cst *cst;
+ if (!dim)
+ return NULL;
+
qp = isl_qpolynomial_alloc(dim, 0, isl_upoly_zero(dim->ctx));
if (!qp)
return NULL;
if (!qp)
return NULL;
- isl_assert(qp->div->ctx, qp->div->n_row == 0, return NULL);
d = isl_dim_total(qp->dim);
- aff = isl_vec_alloc(qp->div->ctx, 2 + d);
+ aff = isl_vec_alloc(qp->div->ctx, 2 + d + qp->div->n_row);
if (!aff)
return NULL;
- isl_seq_clr(aff->el + 1, 1 + d);
+ isl_seq_clr(aff->el + 1, 1 + d + qp->div->n_row);
isl_int_set_si(aff->el[0], 1);
if (isl_upoly_update_affine(qp->upoly, aff) < 0)
return NULL;
}
+__isl_give struct isl_upoly *isl_upoly_subs(__isl_take struct isl_upoly *up,
+ unsigned first, unsigned n, __isl_keep struct isl_upoly **subs)
+{
+ int i;
+ struct isl_upoly_rec *rec;
+ struct isl_upoly *base, *res;
+
+ if (!up)
+ return NULL;
+
+ if (isl_upoly_is_cst(up))
+ return up;
+
+ if (up->var < first)
+ return up;
+
+ rec = isl_upoly_as_rec(up);
+ if (!rec)
+ goto error;
+
+ isl_assert(up->ctx, rec->n >= 1, goto error);
+
+ if (up->var >= first + n)
+ base = isl_upoly_var_pow(up->ctx, up->var, 1);
+ else
+ base = isl_upoly_copy(subs[up->var - first]);
+
+ res = isl_upoly_subs(isl_upoly_copy(rec->p[rec->n - 1]), first, n, subs);
+ for (i = rec->n - 2; i >= 0; --i) {
+ struct isl_upoly *t;
+ t = isl_upoly_subs(isl_upoly_copy(rec->p[i]), first, n, subs);
+ res = isl_upoly_mul(res, isl_upoly_copy(base));
+ res = isl_upoly_sum(res, t);
+ }
+
+ isl_upoly_free(base);
+ isl_upoly_free(up);
+
+ return res;
+error:
+ isl_upoly_free(up);
+ return NULL;
+}
+
+__isl_give struct isl_upoly *isl_upoly_from_affine(isl_ctx *ctx, isl_int *f,
+ isl_int denom, unsigned len)
+{
+ int i;
+ struct isl_upoly *up;
+
+ isl_assert(ctx, len >= 1, return NULL);
+
+ up = isl_upoly_rat_cst(ctx, f[0], denom);
+ for (i = 0; i < len - 1; ++i) {
+ struct isl_upoly *t;
+ struct isl_upoly *c;
+
+ if (isl_int_is_zero(f[1 + i]))
+ continue;
+
+ c = isl_upoly_rat_cst(ctx, f[1 + i], denom);
+ t = isl_upoly_var_pow(ctx, i, 1);
+ t = isl_upoly_mul(c, t);
+ up = isl_upoly_sum(up, t);
+ }
+
+ return up;
+}
+
/* Remove common factor of non-constant terms and denominator.
*/
static void normalize_div(__isl_keep isl_qpolynomial *qp, int div)
ctx->normalize_gcd);
}
+/* Replace the integer division identified by "div" by the polynomial "s".
+ * The integer division is assumed not to appear in the definition
+ * of any other integer divisions.
+ */
+static __isl_give isl_qpolynomial *substitute_div(
+ __isl_take isl_qpolynomial *qp,
+ int div, __isl_take struct isl_upoly *s)
+{
+ int i;
+ int total;
+ int *reordering;
+
+ if (!qp || !s)
+ goto error;
+
+ qp = isl_qpolynomial_cow(qp);
+ if (!qp)
+ goto error;
+
+ total = isl_dim_total(qp->dim);
+ qp->upoly = isl_upoly_subs(qp->upoly, total + div, 1, &s);
+ if (!qp->upoly)
+ goto error;
+
+ reordering = isl_alloc_array(qp->dim->ctx, int, total + qp->div->n_row);
+ if (!reordering)
+ goto error;
+ for (i = 0; i < total + div; ++i)
+ reordering[i] = i;
+ for (i = total + div + 1; i < total + qp->div->n_row; ++i)
+ reordering[i] = i - 1;
+ qp->div = isl_mat_drop_rows(qp->div, div, 1);
+ qp->div = isl_mat_drop_cols(qp->div, 2 + total + div, 1);
+ qp->upoly = reorder(qp->upoly, reordering);
+ free(reordering);
+
+ if (!qp->upoly || !qp->div)
+ goto error;
+
+ isl_upoly_free(s);
+ return qp;
+error:
+ isl_qpolynomial_free(qp);
+ isl_upoly_free(s);
+ return NULL;
+}
+
+/* Replace all integer divisions [e/d] that turn out to not actually be integer
+ * divisions because d is equal to 1 by their definition, i.e., e.
+ */
+static __isl_give isl_qpolynomial *substitute_non_divs(
+ __isl_take isl_qpolynomial *qp)
+{
+ int i, j;
+ int total;
+ struct isl_upoly *s;
+
+ if (!qp)
+ return NULL;
+
+ total = isl_dim_total(qp->dim);
+ for (i = 0; qp && i < qp->div->n_row; ++i) {
+ if (!isl_int_is_one(qp->div->row[i][0]))
+ continue;
+ for (j = i + 1; j < qp->div->n_row; ++j) {
+ if (isl_int_is_zero(qp->div->row[j][2 + total + i]))
+ continue;
+ isl_seq_combine(qp->div->row[j] + 1,
+ qp->div->ctx->one, qp->div->row[j] + 1,
+ qp->div->row[j][2 + total + i],
+ qp->div->row[i] + 1, 1 + total + i);
+ isl_int_set_si(qp->div->row[j][2 + total + i], 0);
+ normalize_div(qp, j);
+ }
+ s = isl_upoly_from_affine(qp->dim->ctx, qp->div->row[i] + 1,
+ qp->div->row[i][0], qp->div->n_col - 1);
+ qp = substitute_div(qp, i, s);
+ --i;
+ }
+
+ return qp;
+}
+
+/* Reduce the coefficients of div "div" to lie in the interval [0, d-1],
+ * with d the denominator. When replacing the coefficient e of x by
+ * d * frac(e/d) = e - d * floor(e/d), we are subtracting d * floor(e/d) * x
+ * inside the division, so we need to add floor(e/d) * x outside.
+ * That is, we replace q by q' + floor(e/d) * x and we therefore need
+ * to adjust the coefficient of x in each later div that depends on the
+ * current div "div" and also in the affine expression "aff"
+ * (if it too depends on "div").
+ */
+static void reduce_div(__isl_keep isl_qpolynomial *qp, int div,
+ __isl_keep isl_vec *aff)
+{
+ int i, j;
+ isl_int v;
+ unsigned total = qp->div->n_col - qp->div->n_row - 2;
+
+ isl_int_init(v);
+ for (i = 0; i < 1 + total + div; ++i) {
+ if (isl_int_is_nonneg(qp->div->row[div][1 + i]) &&
+ isl_int_lt(qp->div->row[div][1 + i], qp->div->row[div][0]))
+ continue;
+ isl_int_fdiv_q(v, qp->div->row[div][1 + i], qp->div->row[div][0]);
+ isl_int_fdiv_r(qp->div->row[div][1 + i],
+ qp->div->row[div][1 + i], qp->div->row[div][0]);
+ if (!isl_int_is_zero(aff->el[1 + total + div]))
+ isl_int_addmul(aff->el[i], v, aff->el[1 + total + div]);
+ for (j = div + 1; j < qp->div->n_row; ++j) {
+ if (isl_int_is_zero(qp->div->row[j][2 + total + div]))
+ continue;
+ isl_int_addmul(qp->div->row[j][1 + i],
+ v, qp->div->row[j][2 + total + div]);
+ }
+ }
+ isl_int_clear(v);
+}
+
+/* Check if the last non-zero coefficient is bigger that half of the
+ * denominator. If so, we will invert the div to further reduce the number
+ * of distinct divs that may appear.
+ * If the last non-zero coefficient is exactly half the denominator,
+ * then we continue looking for earlier coefficients that are bigger
+ * than half the denominator.
+ */
+static int needs_invert(__isl_keep isl_mat *div, int row)
+{
+ int i;
+ int cmp;
+
+ for (i = div->n_col - 1; i >= 1; --i) {
+ if (isl_int_is_zero(div->row[row][i]))
+ continue;
+ isl_int_mul_ui(div->row[row][i], div->row[row][i], 2);
+ cmp = isl_int_cmp(div->row[row][i], div->row[row][0]);
+ isl_int_divexact_ui(div->row[row][i], div->row[row][i], 2);
+ if (cmp)
+ return cmp > 0;
+ if (i == 1)
+ return 1;
+ }
+
+ return 0;
+}
+
+/* Replace div "div" q = [e/d] by -[(-e+(d-1))/d].
+ * We only invert the coefficients of e (and the coefficient of q in
+ * later divs and in "aff"). After calling this function, the
+ * coefficients of e should be reduced again.
+ */
+static void invert_div(__isl_keep isl_qpolynomial *qp, int div,
+ __isl_keep isl_vec *aff)
+{
+ unsigned total = qp->div->n_col - qp->div->n_row - 2;
+
+ isl_seq_neg(qp->div->row[div] + 1,
+ qp->div->row[div] + 1, qp->div->n_col - 1);
+ isl_int_sub_ui(qp->div->row[div][1], qp->div->row[div][1], 1);
+ isl_int_add(qp->div->row[div][1],
+ qp->div->row[div][1], qp->div->row[div][0]);
+ if (!isl_int_is_zero(aff->el[1 + total + div]))
+ isl_int_neg(aff->el[1 + total + div], aff->el[1 + total + div]);
+ isl_mat_col_mul(qp->div, 2 + total + div,
+ qp->div->ctx->negone, 2 + total + div);
+}
+
+/* Assuming "qp" is a monomial, reduce all its divs to have coefficients
+ * in the interval [0, d-1], with d the denominator and such that the
+ * last non-zero coefficient that is not equal to d/2 is smaller than d/2.
+ *
+ * After the reduction, some divs may have become redundant or identical,
+ * so we call substitute_non_divs and sort_divs. If these functions
+ * eliminate divs or merge two or more divs into one, the coefficients
+ * of the enclosing divs may have to be reduced again, so we call
+ * ourselves recursively if the number of divs decreases.
+ */
+static __isl_give isl_qpolynomial *reduce_divs(__isl_take isl_qpolynomial *qp)
+{
+ int i;
+ isl_vec *aff = NULL;
+ struct isl_upoly *s;
+ unsigned n_div;
+
+ if (!qp)
+ return NULL;
+
+ aff = isl_vec_alloc(qp->div->ctx, qp->div->n_col - 1);
+ aff = isl_vec_clr(aff);
+ if (!aff)
+ goto error;
+
+ isl_int_set_si(aff->el[1 + qp->upoly->var], 1);
+
+ for (i = 0; i < qp->div->n_row; ++i) {
+ normalize_div(qp, i);
+ reduce_div(qp, i, aff);
+ if (needs_invert(qp->div, i)) {
+ invert_div(qp, i, aff);
+ reduce_div(qp, i, aff);
+ }
+ }
+
+ s = isl_upoly_from_affine(qp->div->ctx, aff->el,
+ qp->div->ctx->one, aff->size);
+ qp->upoly = isl_upoly_subs(qp->upoly, qp->upoly->var, 1, &s);
+ isl_upoly_free(s);
+ if (!qp->upoly)
+ goto error;
+
+ isl_vec_free(aff);
+
+ n_div = qp->div->n_row;
+ qp = substitute_non_divs(qp);
+ qp = sort_divs(qp);
+ if (qp && qp->div->n_row < n_div)
+ return reduce_divs(qp);
+
+ return qp;
+error:
+ isl_qpolynomial_free(qp);
+ isl_vec_free(aff);
+ return NULL;
+}
+
+/* Assumes each div only depends on earlier divs.
+ */
__isl_give isl_qpolynomial *isl_qpolynomial_div_pow(__isl_take isl_div *div,
int power)
{
if (!qp)
goto error;
- for (i = 0; i < div->bmap->n_div; ++i) {
+ for (i = 0; i < div->bmap->n_div; ++i)
isl_seq_cpy(qp->div->row[i], div->bmap->div[i], qp->div->n_col);
- normalize_div(qp, i);
- }
for (i = 0; i < 1 + power; ++i) {
rec->p[i] = isl_upoly_zero(div->ctx);
isl_div_free(div);
- qp = sort_divs(qp);
+ qp = reduce_divs(qp);
return qp;
error:
isl_assert(qp->dim->ctx, type == isl_dim_param ||
type == isl_dim_set, return -1);
- active = isl_calloc_array(set->ctx, int, isl_dim_total(qp->dim));
- if (set_active(qp, active) < 0)
+ active = isl_calloc_array(qp->dim->ctx, int, isl_dim_total(qp->dim));
+ if (set_active(qp, active) < 0)
+ goto error;
+
+ if (type == isl_dim_set)
+ first += isl_dim_size(qp->dim, isl_dim_param);
+ for (i = 0; i < n; ++i)
+ if (active[first + i]) {
+ involves = 1;
+ break;
+ }
+
+ free(active);
+
+ return involves;
+error:
+ free(active);
+ return -1;
+}
+
+/* Remove divs that do not appear in the quasi-polynomial, nor in any
+ * of the divs that do appear in the quasi-polynomial.
+ */
+static __isl_give isl_qpolynomial *remove_redundant_divs(
+ __isl_take isl_qpolynomial *qp)
+{
+ int i, j;
+ int d;
+ int len;
+ int skip;
+ int *active = NULL;
+ int *reordering = NULL;
+ int redundant = 0;
+ int n_div;
+ isl_ctx *ctx;
+
+ if (!qp)
+ return NULL;
+ if (qp->div->n_row == 0)
+ return qp;
+
+ d = isl_dim_total(qp->dim);
+ len = qp->div->n_col - 2;
+ ctx = isl_qpolynomial_get_ctx(qp);
+ active = isl_calloc_array(ctx, int, len);
+ if (!active)
+ goto error;
+
+ if (up_set_active(qp->upoly, active, len) < 0)
goto error;
- if (type == isl_dim_set)
- first += isl_dim_size(qp->dim, isl_dim_param);
- for (i = 0; i < n; ++i)
- if (active[first + i]) {
- involves = 1;
+ for (i = qp->div->n_row - 1; i >= 0; --i) {
+ if (!active[d + i]) {
+ redundant = 1;
+ continue;
+ }
+ for (j = 0; j < i; ++j) {
+ if (isl_int_is_zero(qp->div->row[i][2 + d + j]))
+ continue;
+ active[d + j] = 1;
break;
}
+ }
+
+ if (!redundant) {
+ free(active);
+ return qp;
+ }
+
+ reordering = isl_alloc_array(qp->div->ctx, int, len);
+ if (!reordering)
+ goto error;
+
+ for (i = 0; i < d; ++i)
+ reordering[i] = i;
+
+ skip = 0;
+ n_div = qp->div->n_row;
+ for (i = 0; i < n_div; ++i) {
+ if (!active[d + i]) {
+ qp->div = isl_mat_drop_rows(qp->div, i - skip, 1);
+ qp->div = isl_mat_drop_cols(qp->div,
+ 2 + d + i - skip, 1);
+ skip++;
+ }
+ reordering[d + i] = d + i - skip;
+ }
+
+ qp->upoly = reorder(qp->upoly, reordering);
+
+ if (!qp->upoly || !qp->div)
+ goto error;
free(active);
+ free(reordering);
- return involves;
+ return qp;
error:
free(active);
- return -1;
+ free(reordering);
+ isl_qpolynomial_free(qp);
+ return NULL;
}
__isl_give struct isl_upoly *isl_upoly_drop(__isl_take struct isl_upoly *up,
return NULL;
}
-__isl_give struct isl_upoly *isl_upoly_subs(__isl_take struct isl_upoly *up,
- unsigned first, unsigned n, __isl_keep struct isl_upoly **subs)
-{
- int i;
- struct isl_upoly_rec *rec;
- struct isl_upoly *base, *res;
-
- if (!up)
- return NULL;
-
- if (isl_upoly_is_cst(up))
- return up;
-
- if (up->var < first)
- return up;
-
- rec = isl_upoly_as_rec(up);
- if (!rec)
- goto error;
-
- isl_assert(up->ctx, rec->n >= 1, goto error);
-
- if (up->var >= first + n)
- base = isl_upoly_var_pow(up->ctx, up->var, 1);
- else
- base = isl_upoly_copy(subs[up->var - first]);
-
- res = isl_upoly_subs(isl_upoly_copy(rec->p[rec->n - 1]), first, n, subs);
- for (i = rec->n - 2; i >= 0; --i) {
- struct isl_upoly *t;
- t = isl_upoly_subs(isl_upoly_copy(rec->p[i]), first, n, subs);
- res = isl_upoly_mul(res, isl_upoly_copy(base));
- res = isl_upoly_sum(res, t);
- }
-
- isl_upoly_free(base);
- isl_upoly_free(up);
-
- return res;
-error:
- isl_upoly_free(up);
- return NULL;
-}
-
-__isl_give struct isl_upoly *isl_upoly_from_affine(isl_ctx *ctx, isl_int *f,
- isl_int denom, unsigned len)
-{
- int i;
- struct isl_upoly *up;
-
- isl_assert(ctx, len >= 1, return NULL);
-
- up = isl_upoly_rat_cst(ctx, f[0], denom);
- for (i = 0; i < len - 1; ++i) {
- struct isl_upoly *t;
- struct isl_upoly *c;
-
- if (isl_int_is_zero(f[1 + i]))
- continue;
-
- c = isl_upoly_rat_cst(ctx, f[1 + i], denom);
- t = isl_upoly_var_pow(ctx, i, 1);
- t = isl_upoly_mul(c, t);
- up = isl_upoly_sum(up, t);
- }
-
- return up;
-}
-
-/* Replace the integer division identified by "div" by the polynomial "s".
- * The integer division is assumed not to appear in the definition
- * of any other integer divisions.
- */
-static __isl_give isl_qpolynomial *substitute_div(
- __isl_take isl_qpolynomial *qp,
- int div, __isl_take struct isl_upoly *s)
-{
- int i;
- int total;
- int *reordering;
-
- if (!qp || !s)
- goto error;
-
- qp = isl_qpolynomial_cow(qp);
- if (!qp)
- goto error;
-
- total = isl_dim_total(qp->dim);
- qp->upoly = isl_upoly_subs(qp->upoly, total + div, 1, &s);
- if (!qp->upoly)
- goto error;
-
- reordering = isl_alloc_array(qp->dim->ctx, int, total + qp->div->n_row);
- if (!reordering)
- goto error;
- for (i = 0; i < total + div; ++i)
- reordering[i] = i;
- for (i = total + div + 1; i < total + qp->div->n_row; ++i)
- reordering[i] = i - 1;
- qp->div = isl_mat_drop_rows(qp->div, div, 1);
- qp->div = isl_mat_drop_cols(qp->div, 2 + total + div, 1);
- qp->upoly = reorder(qp->upoly, reordering);
- free(reordering);
-
- if (!qp->upoly || !qp->div)
- goto error;
-
- isl_upoly_free(s);
- return qp;
-error:
- isl_qpolynomial_free(qp);
- isl_upoly_free(s);
- return NULL;
-}
-
-/* Replace all integer divisions [e/d] that turn out to not actually be integer
- * divisions because d is equal to 1 by their definition, i.e., e.
- */
-static __isl_give isl_qpolynomial *substitute_non_divs(
- __isl_take isl_qpolynomial *qp)
-{
- int i, j;
- int total;
- struct isl_upoly *s;
-
- if (!qp)
- return NULL;
-
- total = isl_dim_total(qp->dim);
- for (i = 0; qp && i < qp->div->n_row; ++i) {
- if (!isl_int_is_one(qp->div->row[i][0]))
- continue;
- for (j = i + 1; j < qp->div->n_row; ++j) {
- if (isl_int_is_zero(qp->div->row[j][2 + total + i]))
- continue;
- isl_seq_combine(qp->div->row[j] + 1,
- qp->div->ctx->one, qp->div->row[j] + 1,
- qp->div->row[j][2 + total + i],
- qp->div->row[i] + 1, 1 + total + i);
- isl_int_set_si(qp->div->row[j][2 + total + i], 0);
- normalize_div(qp, j);
- }
- s = isl_upoly_from_affine(qp->dim->ctx, qp->div->row[i] + 1,
- qp->div->row[i][0], qp->div->n_col - 1);
- qp = substitute_div(qp, i, s);
- --i;
- }
-
- return qp;
-}
-
__isl_give isl_qpolynomial *isl_qpolynomial_substitute_equalities(
__isl_take isl_qpolynomial *qp, __isl_take isl_basic_set *eq)
{
if (pwqp->n != -1)
return 0;
- if (!isl_set_fast_is_universe(pwqp->p[0].set))
+ if (!isl_set_plain_is_universe(pwqp->p[0].set))
return 0;
return isl_qpolynomial_is_one(pwqp->p[0].qp);
{
int i, j, n;
struct isl_pw_qpolynomial *res;
- isl_set *set;
if (!pwqp1 || !pwqp2)
goto error;
struct isl_qpolynomial *prod;
common = isl_set_intersect(isl_set_copy(pwqp1->p[i].set),
isl_set_copy(pwqp2->p[j].set));
- if (isl_set_fast_is_empty(common)) {
+ if (isl_set_plain_is_empty(common)) {
isl_set_free(common);
continue;
}
return isl_qpolynomial_alloc(dim, 0, up);
}
+__isl_give isl_qpolynomial *isl_qpolynomial_from_aff(__isl_take isl_aff *aff)
+{
+ isl_ctx *ctx;
+ struct isl_upoly *up;
+ isl_qpolynomial *qp;
+
+ if (!aff)
+ return NULL;
+
+ ctx = isl_aff_get_ctx(aff);
+ up = isl_upoly_from_affine(ctx, aff->v->el + 1, aff->v->el[0],
+ aff->v->size - 1);
+
+ qp = isl_qpolynomial_alloc(isl_aff_get_dim(aff),
+ aff->ls->div->n_row, up);
+ if (!qp)
+ goto error;
+
+ isl_mat_free(qp->div);
+ qp->div = isl_mat_copy(aff->ls->div);
+ qp->div = isl_mat_cow(qp->div);
+ if (!qp->div)
+ goto error;
+
+ isl_aff_free(aff);
+ qp = reduce_divs(qp);
+ qp = remove_redundant_divs(qp);
+ return qp;
+error:
+ isl_aff_free(aff);
+ return NULL;
+}
+
__isl_give isl_qpolynomial *isl_qpolynomial_from_constraint(
__isl_take isl_constraint *c, enum isl_dim_type type, unsigned pos)
{
int i;
int n_sub;
isl_ctx *ctx;
- struct isl_upoly *up;
- unsigned n_div;
struct isl_upoly **subs;
isl_mat *mat;
return NULL;
}
+__isl_give isl_qpolynomial *isl_qpolynomial_align_params(
+ __isl_take isl_qpolynomial *qp, __isl_take isl_dim *model)
+{
+ if (!qp || !model)
+ goto error;
+
+ if (!isl_dim_match(qp->dim, isl_dim_param, model, isl_dim_param)) {
+ isl_reordering *exp;
+
+ model = isl_dim_drop(model, isl_dim_in,
+ 0, isl_dim_size(model, isl_dim_in));
+ model = isl_dim_drop(model, isl_dim_out,
+ 0, isl_dim_size(model, isl_dim_out));
+ exp = isl_parameter_alignment_reordering(qp->dim, model);
+ exp = isl_reordering_extend_dim(exp,
+ isl_qpolynomial_get_dim(qp));
+ qp = isl_qpolynomial_realign(qp, exp);
+ }
+
+ isl_dim_free(model);
+ return qp;
+error:
+ isl_dim_free(model);
+ isl_qpolynomial_free(qp);
+ return NULL;
+}
+
struct isl_split_periods_data {
int max_periods;
isl_pw_qpolynomial *res;
if (!bset)
return NULL;
- if (isl_basic_set_fast_is_empty(bset))
+ if (isl_basic_set_plain_is_empty(bset))
return constant_on_domain(bset, 0);
orig_nvar = isl_basic_set_dim(bset, isl_dim_set);
isl_union_pw_qpolynomial_free(upwqp);
return NULL;
}
+
+__isl_give isl_basic_map *isl_basic_map_from_qpolynomial(
+ __isl_take isl_qpolynomial *qp)
+{
+ int i, k;
+ isl_dim *dim;
+ isl_vec *aff = NULL;
+ isl_basic_map *bmap = NULL;
+ unsigned pos;
+ unsigned n_div;
+
+ if (!qp)
+ return NULL;
+ if (!isl_upoly_is_affine(qp->upoly))
+ isl_die(qp->dim->ctx, isl_error_invalid,
+ "input quasi-polynomial not affine", goto error);
+ aff = isl_qpolynomial_extract_affine(qp);
+ if (!aff)
+ goto error;
+ dim = isl_qpolynomial_get_dim(qp);
+ dim = isl_dim_from_domain(dim);
+ pos = 1 + isl_dim_offset(dim, isl_dim_out);
+ dim = isl_dim_add(dim, isl_dim_out, 1);
+ n_div = qp->div->n_row;
+ bmap = isl_basic_map_alloc_dim(dim, n_div, 1, 2 * n_div);
+
+ for (i = 0; i < n_div; ++i) {
+ k = isl_basic_map_alloc_div(bmap);
+ if (k < 0)
+ goto error;
+ isl_seq_cpy(bmap->div[k], qp->div->row[i], qp->div->n_col);
+ isl_int_set_si(bmap->div[k][qp->div->n_col], 0);
+ if (isl_basic_map_add_div_constraints(bmap, k) < 0)
+ goto error;
+ }
+ k = isl_basic_map_alloc_equality(bmap);
+ if (k < 0)
+ goto error;
+ isl_int_neg(bmap->eq[k][pos], aff->el[0]);
+ isl_seq_cpy(bmap->eq[k], aff->el + 1, pos);
+ isl_seq_cpy(bmap->eq[k] + pos + 1, aff->el + 1 + pos, n_div);
+
+ isl_vec_free(aff);
+ isl_qpolynomial_free(qp);
+ bmap = isl_basic_map_finalize(bmap);
+ return bmap;
+error:
+ isl_vec_free(aff);
+ isl_qpolynomial_free(qp);
+ isl_basic_map_free(bmap);
+ return NULL;
+}
projects / platform / upstream / isl.git / blobdiff