+ isl_int_set_si(*d, 1);
+ if (!qp)
+ return;
+ upoly_update_den(qp->upoly, d);
+}
+
+__isl_give isl_qpolynomial *isl_qpolynomial_var_pow_on_domain(
+ __isl_take isl_space *dim, int pos, int power)
+{
+ struct isl_ctx *ctx;
+
+ if (!dim)
+ return NULL;
+
+ ctx = dim->ctx;
+
+ return isl_qpolynomial_alloc(dim, 0, isl_upoly_var_pow(ctx, pos, power));
+}
+
+__isl_give isl_qpolynomial *isl_qpolynomial_var_on_domain(__isl_take isl_space *dim,
+ enum isl_dim_type type, unsigned pos)
+{
+ if (!dim)
+ return NULL;
+
+ isl_assert(dim->ctx, isl_space_dim(dim, isl_dim_in) == 0, goto error);
+ isl_assert(dim->ctx, pos < isl_space_dim(dim, type), goto error);
+
+ if (type == isl_dim_set)
+ pos += isl_space_dim(dim, isl_dim_param);
+
+ return isl_qpolynomial_var_pow_on_domain(dim, pos, 1);
+error:
+ isl_space_free(dim);
+ 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)
+{
+ isl_ctx *ctx = qp->div->ctx;
+ unsigned total = qp->div->n_col - 2;
+
+ isl_seq_gcd(qp->div->row[div] + 2, total, &ctx->normalize_gcd);
+ isl_int_gcd(ctx->normalize_gcd,
+ ctx->normalize_gcd, qp->div->row[div][0]);
+ if (isl_int_is_one(ctx->normalize_gcd))
+ return;
+
+ isl_seq_scale_down(qp->div->row[div] + 2, qp->div->row[div] + 2,
+ ctx->normalize_gcd, total);
+ isl_int_divexact(qp->div->row[div][0], qp->div->row[div][0],
+ ctx->normalize_gcd);
+ isl_int_fdiv_q(qp->div->row[div][1], qp->div->row[div][1],
+ 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_space_dim(qp->dim, isl_dim_all);
+ 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_space_dim(qp->dim, isl_dim_all);
+ 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;
+}
+
+__isl_give isl_qpolynomial *isl_qpolynomial_rat_cst_on_domain(
+ __isl_take isl_space *dim, const isl_int n, const isl_int d)
+{
+ 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;
+
+ cst = isl_upoly_as_cst(qp->upoly);
+ isl_int_set(cst->n, n);
+ isl_int_set(cst->d, d);
+
+ return qp;
+}
+
+static int up_set_active(__isl_keep struct isl_upoly *up, int *active, int d)
+{
+ struct isl_upoly_rec *rec;
+ int i;
+
+ if (!up)
+ return -1;
+
+ if (isl_upoly_is_cst(up))
+ return 0;
+
+ if (up->var < d)
+ active[up->var] = 1;
+
+ rec = isl_upoly_as_rec(up);
+ for (i = 0; i < rec->n; ++i)
+ if (up_set_active(rec->p[i], active, d) < 0)
+ return -1;
+
+ return 0;
+}
+
+static int set_active(__isl_keep isl_qpolynomial *qp, int *active)
+{
+ int i, j;
+ int d = isl_space_dim(qp->dim, isl_dim_all);
+
+ if (!qp || !active)
+ return -1;
+
+ for (i = 0; i < d; ++i)
+ for (j = 0; j < qp->div->n_row; ++j) {
+ if (isl_int_is_zero(qp->div->row[j][2 + i]))
+ continue;
+ active[i] = 1;
+ break;
+ }
+
+ return up_set_active(qp->upoly, active, d);
+}
+
+int isl_qpolynomial_involves_dims(__isl_keep isl_qpolynomial *qp,
+ enum isl_dim_type type, unsigned first, unsigned n)
+{
+ int i;
+ int *active = NULL;
+ int involves = 0;
+
+ if (!qp)
+ return -1;
+ if (n == 0)
+ return 0;
+
+ isl_assert(qp->dim->ctx,
+ first + n <= isl_qpolynomial_dim(qp, type), return -1);
+ isl_assert(qp->dim->ctx, type == isl_dim_param ||
+ type == isl_dim_in, return -1);
+
+ active = isl_calloc_array(qp->dim->ctx, int,
+ isl_space_dim(qp->dim, isl_dim_all));
+ if (set_active(qp, active) < 0)
+ goto error;
+
+ if (type == isl_dim_in)
+ first += isl_space_dim(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_space_dim(qp->dim, isl_dim_all);
+ 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;
+
+ 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 qp;
+error:
+ free(active);
+ free(reordering);
+ isl_qpolynomial_free(qp);
+ return NULL;
+}
+
+__isl_give struct isl_upoly *isl_upoly_drop(__isl_take struct isl_upoly *up,
+ unsigned first, unsigned n)
+{
+ int i;
+ struct isl_upoly_rec *rec;
+
+ if (!up)
+ return NULL;
+ if (n == 0 || up->var < 0 || up->var < first)
+ return up;
+ if (up->var < first + n) {
+ up = replace_by_constant_term(up);
+ return isl_upoly_drop(up, first, n);
+ }
+ up = isl_upoly_cow(up);
+ if (!up)
+ return NULL;
+ up->var -= n;
+ rec = isl_upoly_as_rec(up);
+ if (!rec)
+ goto error;
+
+ for (i = 0; i < rec->n; ++i) {
+ rec->p[i] = isl_upoly_drop(rec->p[i], first, n);
+ if (!rec->p[i])
+ goto error;
+ }
+
+ return up;
+error:
+ isl_upoly_free(up);
+ return NULL;
+}
+
+__isl_give isl_qpolynomial *isl_qpolynomial_set_dim_name(
+ __isl_take isl_qpolynomial *qp,
+ enum isl_dim_type type, unsigned pos, const char *s)
+{
+ qp = isl_qpolynomial_cow(qp);
+ if (!qp)
+ return NULL;
+ qp->dim = isl_space_set_dim_name(qp->dim, type, pos, s);
+ if (!qp->dim)
+ goto error;
+ return qp;
+error:
+ isl_qpolynomial_free(qp);
+ return NULL;
+}
+
+__isl_give isl_qpolynomial *isl_qpolynomial_drop_dims(
+ __isl_take isl_qpolynomial *qp,
+ enum isl_dim_type type, unsigned first, unsigned n)
+{
+ if (!qp)
+ return NULL;
+ if (type == isl_dim_out)
+ isl_die(qp->dim->ctx, isl_error_invalid,
+ "cannot drop output/set dimension",
+ goto error);
+ if (type == isl_dim_in)
+ type = isl_dim_set;
+ if (n == 0 && !isl_space_is_named_or_nested(qp->dim, type))
+ return qp;
+
+ qp = isl_qpolynomial_cow(qp);
+ if (!qp)
+ return NULL;
+
+ isl_assert(qp->dim->ctx, first + n <= isl_space_dim(qp->dim, type),
+ goto error);
+ isl_assert(qp->dim->ctx, type == isl_dim_param ||
+ type == isl_dim_set, goto error);
+
+ qp->dim = isl_space_drop_dims(qp->dim, type, first, n);
+ if (!qp->dim)
+ goto error;
+
+ if (type == isl_dim_set)
+ first += isl_space_dim(qp->dim, isl_dim_param);
+
+ qp->div = isl_mat_drop_cols(qp->div, 2 + first, n);
+ if (!qp->div)
+ goto error;
+
+ qp->upoly = isl_upoly_drop(qp->upoly, first, n);
+ if (!qp->upoly)
+ goto error;
+
+ return qp;
+error:
+ isl_qpolynomial_free(qp);
+ return NULL;
+}
+
+/* Project the domain of the quasi-polynomial onto its parameter space.
+ * The quasi-polynomial may not involve any of the domain dimensions.
+ */
+__isl_give isl_qpolynomial *isl_qpolynomial_project_domain_on_params(
+ __isl_take isl_qpolynomial *qp)
+{
+ isl_space *space;
+ unsigned n;
+ int involves;
+
+ n = isl_qpolynomial_dim(qp, isl_dim_in);
+ involves = isl_qpolynomial_involves_dims(qp, isl_dim_in, 0, n);
+ if (involves < 0)
+ return isl_qpolynomial_free(qp);
+ if (involves)
+ isl_die(isl_qpolynomial_get_ctx(qp), isl_error_invalid,
+ "polynomial involves some of the domain dimensions",
+ return isl_qpolynomial_free(qp));
+ qp = isl_qpolynomial_drop_dims(qp, isl_dim_in, 0, n);
+ space = isl_qpolynomial_get_domain_space(qp);
+ space = isl_space_params(space);
+ qp = isl_qpolynomial_reset_domain_space(qp, space);
+ return qp;
+}
+
+static __isl_give isl_qpolynomial *isl_qpolynomial_substitute_equalities_lifted(
+ __isl_take isl_qpolynomial *qp, __isl_take isl_basic_set *eq)
+{
+ int i, j, k;
+ isl_int denom;
+ unsigned total;
+ unsigned n_div;
+ struct isl_upoly *up;
+
+ if (!eq)
+ goto error;
+ if (eq->n_eq == 0) {
+ isl_basic_set_free(eq);
+ return qp;
+ }
+
+ qp = isl_qpolynomial_cow(qp);
+ if (!qp)
+ goto error;
+ qp->div = isl_mat_cow(qp->div);
+ if (!qp->div)
+ goto error;
+
+ total = 1 + isl_space_dim(eq->dim, isl_dim_all);
+ n_div = eq->n_div;
+ isl_int_init(denom);
+ for (i = 0; i < eq->n_eq; ++i) {
+ j = isl_seq_last_non_zero(eq->eq[i], total + n_div);
+ if (j < 0 || j == 0 || j >= total)
+ continue;
+
+ for (k = 0; k < qp->div->n_row; ++k) {
+ if (isl_int_is_zero(qp->div->row[k][1 + j]))
+ continue;
+ isl_seq_elim(qp->div->row[k] + 1, eq->eq[i], j, total,
+ &qp->div->row[k][0]);
+ normalize_div(qp, k);
+ }
+
+ if (isl_int_is_pos(eq->eq[i][j]))
+ isl_seq_neg(eq->eq[i], eq->eq[i], total);
+ isl_int_abs(denom, eq->eq[i][j]);
+ isl_int_set_si(eq->eq[i][j], 0);
+
+ up = isl_upoly_from_affine(qp->dim->ctx,
+ eq->eq[i], denom, total);
+ qp->upoly = isl_upoly_subs(qp->upoly, j - 1, 1, &up);
+ isl_upoly_free(up);
+ }
+ isl_int_clear(denom);
+
+ if (!qp->upoly)
+ goto error;
+
+ isl_basic_set_free(eq);
+
+ qp = substitute_non_divs(qp);
+ qp = sort_divs(qp);
+
+ return qp;
+error:
+ isl_basic_set_free(eq);
+ isl_qpolynomial_free(qp);
+ return NULL;
+}
+
+/* Exploit the equalities in "eq" to simplify the quasi-polynomial.
+ */
+__isl_give isl_qpolynomial *isl_qpolynomial_substitute_equalities(
+ __isl_take isl_qpolynomial *qp, __isl_take isl_basic_set *eq)
+{
+ if (!qp || !eq)
+ goto error;
+ if (qp->div->n_row > 0)
+ eq = isl_basic_set_add_dims(eq, isl_dim_set, qp->div->n_row);
+ return isl_qpolynomial_substitute_equalities_lifted(qp, eq);
+error:
+ isl_basic_set_free(eq);
+ isl_qpolynomial_free(qp);
+ return NULL;
+}
+
+static __isl_give isl_basic_set *add_div_constraints(
+ __isl_take isl_basic_set *bset, __isl_take isl_mat *div)
+{
+ int i;
+ unsigned total;
+
+ if (!bset || !div)
+ goto error;
+
+ bset = isl_basic_set_extend_constraints(bset, 0, 2 * div->n_row);
+ if (!bset)
+ goto error;
+ total = isl_basic_set_total_dim(bset);
+ for (i = 0; i < div->n_row; ++i)
+ if (isl_basic_set_add_div_constraints_var(bset,
+ total - div->n_row + i, div->row[i]) < 0)
+ goto error;
+
+ isl_mat_free(div);
+ return bset;
+error:
+ isl_mat_free(div);
+ isl_basic_set_free(bset);
+ return NULL;
+}
+
+/* Look for equalities among the variables shared by context and qp
+ * and the integer divisions of qp, if any.
+ * The equalities are then used to eliminate variables and/or integer
+ * divisions from qp.
+ */
+__isl_give isl_qpolynomial *isl_qpolynomial_gist(
+ __isl_take isl_qpolynomial *qp, __isl_take isl_set *context)
+{
+ isl_basic_set *aff;
+
+ if (!qp)
+ goto error;
+ if (qp->div->n_row > 0) {
+ isl_basic_set *bset;
+ context = isl_set_add_dims(context, isl_dim_set,
+ qp->div->n_row);
+ bset = isl_basic_set_universe(isl_set_get_space(context));
+ bset = add_div_constraints(bset, isl_mat_copy(qp->div));
+ context = isl_set_intersect(context,
+ isl_set_from_basic_set(bset));
+ }
+
+ aff = isl_set_affine_hull(context);
+ return isl_qpolynomial_substitute_equalities_lifted(qp, aff);
+error:
+ isl_qpolynomial_free(qp);
+ isl_set_free(context);
+ return NULL;
+}
+
+__isl_give isl_qpolynomial *isl_qpolynomial_gist_params(
+ __isl_take isl_qpolynomial *qp, __isl_take isl_set *context)
+{
+ isl_space *space = isl_qpolynomial_get_domain_space(qp);
+ isl_set *dom_context = isl_set_universe(space);
+ dom_context = isl_set_intersect_params(dom_context, context);
+ return isl_qpolynomial_gist(qp, dom_context);
+}
+
+__isl_give isl_pw_qpolynomial *isl_pw_qpolynomial_from_qpolynomial(
+ __isl_take isl_qpolynomial *qp)
+{
+ isl_set *dom;
+
+ if (!qp)
+ return NULL;
+ if (isl_qpolynomial_is_zero(qp)) {
+ isl_space *dim = isl_qpolynomial_get_space(qp);
+ isl_qpolynomial_free(qp);
+ return isl_pw_qpolynomial_zero(dim);
+ }
+
+ dom = isl_set_universe(isl_qpolynomial_get_domain_space(qp));
+ return isl_pw_qpolynomial_alloc(dom, qp);
+}
+
+#undef PW
+#define PW isl_pw_qpolynomial
+#undef EL
+#define EL isl_qpolynomial
+#undef EL_IS_ZERO
+#define EL_IS_ZERO is_zero
+#undef ZERO
+#define ZERO zero
+#undef IS_ZERO
+#define IS_ZERO is_zero
+#undef FIELD
+#define FIELD qp
+#undef DEFAULT_IS_ZERO
+#define DEFAULT_IS_ZERO 1
+
+#define NO_PULLBACK
+
+#include <isl_pw_templ.c>
+
+#undef UNION
+#define UNION isl_union_pw_qpolynomial
+#undef PART
+#define PART isl_pw_qpolynomial
+#undef PARTS
+#define PARTS pw_qpolynomial
+#define ALIGN_DOMAIN
+
+#include <isl_union_templ.c>
+
+int isl_pw_qpolynomial_is_one(__isl_keep isl_pw_qpolynomial *pwqp)
+{
+ if (!pwqp)
+ return -1;
+
+ if (pwqp->n != -1)
+ return 0;
+
+ if (!isl_set_plain_is_universe(pwqp->p[0].set))
+ return 0;
+
+ return isl_qpolynomial_is_one(pwqp->p[0].qp);
+}
+
+__isl_give isl_pw_qpolynomial *isl_pw_qpolynomial_add(
+ __isl_take isl_pw_qpolynomial *pwqp1,
+ __isl_take isl_pw_qpolynomial *pwqp2)
+{
+ return isl_pw_qpolynomial_union_add_(pwqp1, pwqp2);
+}
+
+__isl_give isl_pw_qpolynomial *isl_pw_qpolynomial_mul(
+ __isl_take isl_pw_qpolynomial *pwqp1,
+ __isl_take isl_pw_qpolynomial *pwqp2)
+{
+ int i, j, n;
+ struct isl_pw_qpolynomial *res;
+