doc: add some implementation details on parametric integer programming

[isl.git] / isl_output.c

/*
 * Copyright 2008-2009 Katholieke Universiteit Leuven
 * Copyright 2010      INRIA Saclay
 *
 * Use of this software is governed by the GNU LGPLv2.1 license
 *
 * Written by Sven Verdoolaege, K.U.Leuven, Departement
 * Computerwetenschappen, Celestijnenlaan 200A, B-3001 Leuven, Belgium
 * and INRIA Saclay - Ile-de-France, Parc Club Orsay Universite,
 * ZAC des vignes, 4 rue Jacques Monod, 91893 Orsay, France 
 */

#include <stdlib.h>
#include <string.h>
#include <isl_ctx_private.h>
#include <isl_map_private.h>
#include <isl/set.h>
#include <isl/seq.h>
#include <isl_polynomial_private.h>
#include <isl_printer_private.h>
#include <isl_dim_private.h>
#include <isl_mat_private.h>
#include <isl/union_map.h>

static const char *s_to[2] = { " -> ", " \\to " };
static const char *s_and[2] = { " and ", " \\wedge " };
static const char *s_or[2] = { " or ", " \\vee " };
static const char *s_le[2] = { "<=", "\\le" };
static const char *s_ge[2] = { ">=", "\\ge" };
static const char *s_open_set[2] = { "{ ", "\\{\\, " };
static const char *s_close_set[2] = { " }", " \\,\\}" };
static const char *s_open_list[2] = { "[", "(" };
static const char *s_close_list[2] = { "]", ")" };
static const char *s_such_that[2] = { " : ", " \\mid " };
static const char *s_open_exists[2] = { "exists (", "\\exists \\, " };
static const char *s_close_exists[2] = { ")", "" };
static const char *s_div_prefix[2] = { "e", "\\alpha_" };
static const char *s_param_prefix[2] = { "p", "p_" };
static const char *s_input_prefix[2] = { "i", "i_" };
static const char *s_output_prefix[2] = { "o", "o_" };

static __isl_give isl_printer *print_constraint_polylib(
        struct isl_basic_map *bmap, int ineq, int n, __isl_take isl_printer *p)
{
        int i;
        unsigned n_in = isl_basic_map_dim(bmap, isl_dim_in);
        unsigned n_out = isl_basic_map_dim(bmap, isl_dim_out);
        unsigned nparam = isl_basic_map_dim(bmap, isl_dim_param);
        isl_int *c = ineq ? bmap->ineq[n] : bmap->eq[n];

        p = isl_printer_start_line(p);
        p = isl_printer_print_int(p, ineq);
        for (i = 0; i < n_out; ++i) {
                p = isl_printer_print_str(p, " ");
                p = isl_printer_print_isl_int(p, c[1+nparam+n_in+i]);
        }
        for (i = 0; i < n_in; ++i) {
                p = isl_printer_print_str(p, " ");
                p = isl_printer_print_isl_int(p, c[1+nparam+i]);
        }
        for (i = 0; i < bmap->n_div; ++i) {
                p = isl_printer_print_str(p, " ");
                p = isl_printer_print_isl_int(p, c[1+nparam+n_in+n_out+i]);
        }
        for (i = 0; i < nparam; ++i) {
                p = isl_printer_print_str(p, " ");
                p = isl_printer_print_isl_int(p, c[1+i]);
        }
        p = isl_printer_print_str(p, " ");
        p = isl_printer_print_isl_int(p, c[0]);
        p = isl_printer_end_line(p);
        return p;
}

static __isl_give isl_printer *print_constraints_polylib(
        struct isl_basic_map *bmap, __isl_take isl_printer *p)
{
        int i;

        p = isl_printer_set_isl_int_width(p, 5);

        for (i = 0; i < bmap->n_eq; ++i)
                p = print_constraint_polylib(bmap, 0, i, p);
        for (i = 0; i < bmap->n_ineq; ++i)
                p = print_constraint_polylib(bmap, 1, i, p);

        return p;
}

static __isl_give isl_printer *bset_print_constraints_polylib(
        struct isl_basic_set *bset, __isl_take isl_printer *p)
{
        return print_constraints_polylib((struct isl_basic_map *)bset, p);
}

static __isl_give isl_printer *isl_basic_map_print_polylib(
        __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p, int ext)
{
        unsigned total = isl_basic_map_total_dim(bmap);
        p = isl_printer_start_line(p);
        p = isl_printer_print_int(p, bmap->n_eq + bmap->n_ineq);
        p = isl_printer_print_str(p, " ");
        p = isl_printer_print_int(p, 1 + total + 1);
        if (ext) {
                p = isl_printer_print_str(p, " ");
                p = isl_printer_print_int(p,
                                    isl_basic_map_dim(bmap, isl_dim_out));
                p = isl_printer_print_str(p, " ");
                p = isl_printer_print_int(p,
                                    isl_basic_map_dim(bmap, isl_dim_in));
                p = isl_printer_print_str(p, " ");
                p = isl_printer_print_int(p,
                                    isl_basic_map_dim(bmap, isl_dim_div));
                p = isl_printer_print_str(p, " ");
                p = isl_printer_print_int(p,
                                    isl_basic_map_dim(bmap, isl_dim_param));
        }
        p = isl_printer_end_line(p);
        return print_constraints_polylib(bmap, p);
}

static __isl_give isl_printer *isl_basic_set_print_polylib(
        __isl_keep isl_basic_set *bset, __isl_take isl_printer *p, int ext)
{
        return isl_basic_map_print_polylib((struct isl_basic_map *)bset, p, ext);
}

static __isl_give isl_printer *isl_map_print_polylib(__isl_keep isl_map *map,
        __isl_take isl_printer *p, int ext)
{
        int i;

        p = isl_printer_start_line(p);
        p = isl_printer_print_int(p, map->n);
        p = isl_printer_end_line(p);
        for (i = 0; i < map->n; ++i) {
                p = isl_printer_start_line(p);
                p = isl_printer_end_line(p);
                p = isl_basic_map_print_polylib(map->p[i], p, ext);
        }
        return p;
}

static __isl_give isl_printer *isl_set_print_polylib(__isl_keep isl_set *set,
        __isl_take isl_printer *p, int ext)
{
        return isl_map_print_polylib((struct isl_map *)set, p, ext);
}

static int count_same_name(__isl_keep isl_dim *dim,
        enum isl_dim_type type, unsigned pos, const char *name)
{
        enum isl_dim_type t;
        unsigned p, s;
        int count = 0;

        for (t = isl_dim_param; t <= type && t <= isl_dim_out; ++t) {
                s = t == type ? pos : isl_dim_size(dim, t);
                for (p = 0; p < s; ++p) {
                        const char *n = isl_dim_get_name(dim, t, p);
                        if (n && !strcmp(n, name))
                                count++;
                }
        }
        return count;
}

static __isl_give isl_printer *print_name(__isl_keep isl_dim *dim,
        __isl_take isl_printer *p, enum isl_dim_type type, unsigned pos,
        int set, int latex)
{
        const char *name;
        char buffer[20];
        int primes;

        name = type == isl_dim_div ? NULL : isl_dim_get_name(dim, type, pos);

        if (!name) {
                const char *prefix;
                if (type == isl_dim_param)
                        prefix = s_param_prefix[latex];
                else if (type == isl_dim_div)
                        prefix = s_div_prefix[latex];
                else if (set || type == isl_dim_in)
                        prefix = s_input_prefix[latex];
                else
                        prefix = s_output_prefix[latex];
                snprintf(buffer, sizeof(buffer), "%s%d", prefix, pos);
                name = buffer;
        }
        primes = count_same_name(dim, name == buffer ? isl_dim_div : type,
                                 pos, name);
        p = isl_printer_print_str(p, name);
        while (primes-- > 0)
                p = isl_printer_print_str(p, "'");
        return p;
}

static enum isl_dim_type pos2type(__isl_keep isl_dim *dim, unsigned *pos)
{
        enum isl_dim_type type;
        unsigned n_in = isl_dim_size(dim, isl_dim_in);
        unsigned n_out = isl_dim_size(dim, isl_dim_out);
        unsigned nparam = isl_dim_size(dim, isl_dim_param);

        if (*pos < 1 + nparam) {
                type = isl_dim_param;
                *pos -= 1;
        } else if (*pos < 1 + nparam + n_in) {
                type = isl_dim_in;
                *pos -= 1 + nparam;
        } else if (*pos < 1 + nparam + n_in + n_out) {
                type = isl_dim_out;
                *pos -= 1 + nparam + n_in;
        } else {
                type = isl_dim_div;
                *pos -= 1 + nparam + n_in + n_out;
        }

        return type;
}

static __isl_give isl_printer *print_div(__isl_keep isl_dim *dim,
        __isl_keep isl_mat *div, int pos, __isl_take isl_printer *p);

static __isl_give isl_printer *print_term(__isl_keep isl_dim *dim,
        __isl_keep isl_mat *div,
        isl_int c, unsigned pos, __isl_take isl_printer *p, int set, int latex)
{
        enum isl_dim_type type;
        int print_div_def;

        if (pos == 0)
                return isl_printer_print_isl_int(p, c);

        type = pos2type(dim, &pos);
        print_div_def = type == isl_dim_div && div &&
                        !isl_int_is_zero(div->row[pos][0]);

        if (isl_int_is_one(c))
                ;
        else if (isl_int_is_negone(c))
                p = isl_printer_print_str(p, "-");
        else {
                p = isl_printer_print_isl_int(p, c);
                if (p->output_format == ISL_FORMAT_C || print_div_def)
                        p = isl_printer_print_str(p, "*");
        }
        if (print_div_def)
                p = print_div(dim, div, pos, p);
        else
                p = print_name(dim, p, type, pos, set, latex);
        return p;
}

static __isl_give isl_printer *print_affine_of_len(__isl_keep isl_dim *dim,
        __isl_keep isl_mat *div,
        __isl_take isl_printer *p, isl_int *c, int len, int set)
{
        int i;
        int first;

        for (i = 0, first = 1; i < len; ++i) {
                int flip = 0;
                if (isl_int_is_zero(c[i]))
                        continue;
                if (!first) {
                        if (isl_int_is_neg(c[i])) {
                                flip = 1;
                                isl_int_neg(c[i], c[i]);
                                p = isl_printer_print_str(p, " - ");
                        } else 
                                p = isl_printer_print_str(p, " + ");
                }
                first = 0;
                p = print_term(dim, div, c[i], i, p, set, 0);
                if (flip)
                        isl_int_neg(c[i], c[i]);
        }
        if (first)
                p = isl_printer_print_str(p, "0");
        return p;
}

static __isl_give isl_printer *print_affine(__isl_keep isl_basic_map *bmap,
        __isl_keep isl_dim *dim, __isl_take isl_printer *p, isl_int *c, int set)
{
        unsigned len = 1 + isl_basic_map_total_dim(bmap);
        return print_affine_of_len(dim, NULL, p, c, len, set);
}

static int defining_equality(__isl_keep isl_basic_map *eq,
        __isl_keep isl_dim *dim, enum isl_dim_type type, int pos)
{
        int i;
        unsigned total;

        if (!eq)
                return -1;

        pos += isl_dim_offset(dim, type);
        total = isl_basic_map_total_dim(eq);

        for (i = 0; i < eq->n_eq; ++i) {
                if (isl_seq_last_non_zero(eq->eq[i] + 1, total) != pos)
                        continue;
                if (isl_int_is_one(eq->eq[i][1 + pos]))
                        isl_seq_neg(eq->eq[i], eq->eq[i], 1 + total);
                return i;
        }

        return -1;
}

/* offset is the offset of local_dim inside global_type of global_dim.
 */
static __isl_give isl_printer *print_nested_var_list(__isl_take isl_printer *p,
        __isl_keep isl_dim *global_dim, enum isl_dim_type global_type,
        __isl_keep isl_dim *local_dim, enum isl_dim_type local_type,
        int set, int latex, __isl_keep isl_basic_map *eq, int offset)
{
        int i, j;

        if (global_dim != local_dim && local_type == isl_dim_out)
                offset += local_dim->n_in;

        for (i = 0; i < isl_dim_size(local_dim, local_type); ++i) {
                if (i)
                        p = isl_printer_print_str(p, ", ");
                j = defining_equality(eq, global_dim, global_type, offset + i);
                if (j >= 0) {
                        int pos = 1 + isl_dim_offset(global_dim, global_type)
                                    + offset + i;
                        p = print_affine_of_len(eq->dim, NULL,
                                                p, eq->eq[j], pos, set);
                } else {
                        p = print_name(global_dim, p, global_type, offset + i,
                                        set, latex);
                }
        }
        return p;
}

static __isl_give isl_printer *print_var_list(__isl_keep isl_dim *dim,
        __isl_take isl_printer *p, enum isl_dim_type type,
        int set, int latex, __isl_keep isl_basic_map *eq)
{
        return print_nested_var_list(p, dim, type, dim, type, set, latex, eq, 0);
}

static __isl_give isl_printer *print_nested_map_dim(__isl_take isl_printer *p,
        __isl_keep isl_dim *global_dim, enum isl_dim_type global_type,
        __isl_keep isl_dim *local_dim,
         int set, int latex, __isl_keep isl_basic_map *eq, int offset);

static __isl_give isl_printer *print_nested_tuple(__isl_take isl_printer *p,
        __isl_keep isl_dim *global_dim, enum isl_dim_type global_type,
        __isl_keep isl_dim *local_dim, enum isl_dim_type local_type,
        int set, int latex, __isl_keep isl_basic_map *eq, int offset)
{
        const char *name = NULL;
        unsigned n = isl_dim_size(local_dim, local_type);
        if ((local_type == isl_dim_in || local_type == isl_dim_out)) {
                name = isl_dim_get_tuple_name(local_dim, local_type);
                if (name) {
                        if (latex)
                                p = isl_printer_print_str(p, "\\mathrm{");
                        p = isl_printer_print_str(p, name);
                        if (latex)
                                p = isl_printer_print_str(p, "}");
                }
        }
        if (!latex || n != 1 || name)
                p = isl_printer_print_str(p, s_open_list[latex]);
        if ((local_type == isl_dim_in || local_type == isl_dim_out) &&
            local_dim->nested[local_type - isl_dim_in]) {
                if (global_dim != local_dim && local_type == isl_dim_out)
                        offset += local_dim->n_in;
                p = print_nested_map_dim(p, global_dim, global_type,
                                local_dim->nested[local_type - isl_dim_in],
                                set, latex, eq, offset);
        } else
                p = print_nested_var_list(p, global_dim, global_type,
                                 local_dim, local_type, set, latex, eq, offset);
        if (!latex || n != 1 || name)
                p = isl_printer_print_str(p, s_close_list[latex]);
        return p;
}

static __isl_give isl_printer *print_tuple(__isl_keep isl_dim *dim,
        __isl_take isl_printer *p, enum isl_dim_type type,
        int set, int latex, __isl_keep isl_basic_map *eq)
{
        return print_nested_tuple(p, dim, type, dim, type, set, latex, eq, 0);
}

static __isl_give isl_printer *print_nested_map_dim(__isl_take isl_printer *p,
        __isl_keep isl_dim *global_dim, enum isl_dim_type global_type,
        __isl_keep isl_dim *local_dim,
         int set, int latex, __isl_keep isl_basic_map *eq, int offset)
{
        p = print_nested_tuple(p, global_dim, global_type,
                        local_dim, isl_dim_in, set, latex, eq, offset);
        p = isl_printer_print_str(p, s_to[latex]);
        p = print_nested_tuple(p, global_dim, global_type,
                        local_dim, isl_dim_out, set, latex, eq, offset);

        return p;
}

static __isl_give isl_printer *print_dim(__isl_keep isl_dim *dim,
        __isl_take isl_printer *p, int set, int latex, int rational,
        __isl_keep isl_basic_map *eq)
{
        if (rational && !latex)
                p = isl_printer_print_str(p, "rat: ");
        if (set)
                p = print_tuple(dim, p, isl_dim_set, 1, latex, eq);
        else {
                p = print_tuple(dim, p, isl_dim_in, 0, latex, eq);
                p = isl_printer_print_str(p, s_to[latex]);
                p = print_tuple(dim, p, isl_dim_out, 0, latex, eq);
        }

        return p;
}

static __isl_give isl_printer *print_omega_parameters(__isl_keep isl_dim *dim,
        __isl_take isl_printer *p)
{
        if (isl_dim_size(dim, isl_dim_param) == 0)
                return p;

        p = isl_printer_start_line(p);
        p = isl_printer_print_str(p, "symbolic ");
        p = print_var_list(dim, p, isl_dim_param, 0, 0, NULL);
        p = isl_printer_print_str(p, ";");
        p = isl_printer_end_line(p);
        return p;
}

static __isl_give isl_printer *print_constraint(struct isl_basic_map *bmap,
        __isl_keep isl_dim *dim, __isl_take isl_printer *p,
        isl_int *c, int last, const char *op, int first_constraint, int set,
        int latex)
{
        if (!first_constraint)
                p = isl_printer_print_str(p, s_and[latex]);

        isl_int_abs(c[last], c[last]);

        p = print_term(dim, NULL, c[last], last, p, set, latex);

        p = isl_printer_print_str(p, " ");
        p = isl_printer_print_str(p, op);
        p = isl_printer_print_str(p, " ");

        isl_int_set_si(c[last], 0);
        p = print_affine(bmap, dim, p, c, set);

        return p;
}

static __isl_give isl_printer *print_constraints(__isl_keep isl_basic_map *bmap,
        __isl_keep isl_dim *dim, __isl_take isl_printer *p, int set, int latex)
{
        int i;
        struct isl_vec *c;
        unsigned total = isl_basic_map_total_dim(bmap);

        c = isl_vec_alloc(bmap->ctx, 1 + total);
        if (!c)
                goto error;

        for (i = bmap->n_eq - 1; i >= 0; --i) {
                int l = isl_seq_last_non_zero(bmap->eq[i], 1 + total);
                isl_assert(bmap->ctx, l >= 0, goto error);
                if (isl_int_is_neg(bmap->eq[i][l]))
                        isl_seq_cpy(c->el, bmap->eq[i], 1 + total);
                else
                        isl_seq_neg(c->el, bmap->eq[i], 1 + total);
                p = print_constraint(bmap, dim, p, c->el, l,
                                    "=", i == bmap->n_eq - 1, set, latex);
        }
        for (i = 0; i < bmap->n_ineq; ++i) {
                int l = isl_seq_last_non_zero(bmap->ineq[i], 1 + total);
                int s;
                const char *op;
                if (l < 0)
                        continue;
                s = isl_int_sgn(bmap->ineq[i][l]);
                if (s < 0)
                        isl_seq_cpy(c->el, bmap->ineq[i], 1 + total);
                else
                        isl_seq_neg(c->el, bmap->ineq[i], 1 + total);
                op = s < 0 ? s_le[latex] : s_ge[latex];
                p = print_constraint(bmap, dim, p, c->el, l,
                                        op, !bmap->n_eq && !i, set, latex);
        }

        isl_vec_free(c);

        return p;
error:
        isl_vec_free(c);
        isl_printer_free(p);
        return NULL;
}

static __isl_give isl_printer *print_omega_constraints(
        __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p, int set)
{
        if (bmap->n_eq + bmap->n_ineq == 0)
                return p;

        p = isl_printer_print_str(p, ": ");
        if (bmap->n_div > 0) {
                int i;
                p = isl_printer_print_str(p, "exists (");
                for (i = 0; i < bmap->n_div; ++i) {
                        if (i)
                                p = isl_printer_print_str(p, ", ");
                        p = print_name(bmap->dim, p, isl_dim_div, i, 0, 0);
                }
                p = isl_printer_print_str(p, ": ");
        }
        p = print_constraints(bmap, bmap->dim, p, set, 0);
        if (bmap->n_div > 0)
                p = isl_printer_print_str(p, ")");
        return p;
}

static __isl_give isl_printer *basic_map_print_omega(
        __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p)
{
        p = isl_printer_print_str(p, "{ [");
        p = print_var_list(bmap->dim, p, isl_dim_in, 0, 0, NULL);
        p = isl_printer_print_str(p, "] -> [");
        p = print_var_list(bmap->dim, p, isl_dim_out, 0, 0, NULL);
        p = isl_printer_print_str(p, "] ");
        p = print_omega_constraints(bmap, p, 0);
        p = isl_printer_print_str(p, " }");
        return p;
}

static __isl_give isl_printer *isl_basic_map_print_omega(
        __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p)
{
        p = print_omega_parameters(bmap->dim, p);

        p = isl_printer_start_line(p);
        p = basic_map_print_omega(bmap, p);
        p = isl_printer_end_line(p);
        return p;
}

static __isl_give isl_printer *basic_set_print_omega(
        __isl_keep isl_basic_set *bset, __isl_take isl_printer *p)
{
        p = isl_printer_print_str(p, "{ [");
        p = print_var_list(bset->dim, p, isl_dim_set, 1, 0, NULL);
        p = isl_printer_print_str(p, "] ");
        p = print_omega_constraints((isl_basic_map *)bset, p, 1);
        p = isl_printer_print_str(p, " }");
        return p;
}

static __isl_give isl_printer *isl_basic_set_print_omega(
        __isl_keep isl_basic_set *bset, __isl_take isl_printer *p)
{
        p = print_omega_parameters(bset->dim, p);

        p = isl_printer_start_line(p);
        p = basic_set_print_omega(bset, p);
        p = isl_printer_end_line(p);
        return p;
}

static __isl_give isl_printer *isl_map_print_omega(__isl_keep isl_map *map,
        __isl_take isl_printer *p)
{
        int i;

        p = print_omega_parameters(map->dim, p);

        p = isl_printer_start_line(p);
        for (i = 0; i < map->n; ++i) {
                if (i)
                        p = isl_printer_print_str(p, " union ");
                p = basic_map_print_omega(map->p[i], p);
        }
        p = isl_printer_end_line(p);
        return p;
}

static __isl_give isl_printer *isl_set_print_omega(__isl_keep isl_set *set,
        __isl_take isl_printer *p)
{
        int i;

        p = print_omega_parameters(set->dim, p);

        p = isl_printer_start_line(p);
        for (i = 0; i < set->n; ++i) {
                if (i)
                        p = isl_printer_print_str(p, " union ");
                p = basic_set_print_omega(set->p[i], p);
        }
        p = isl_printer_end_line(p);
        return p;
}

static __isl_give isl_printer *print_disjunct(__isl_keep isl_basic_map *bmap,
        __isl_keep isl_dim *dim, __isl_take isl_printer *p, int set, int latex)
{
        if (bmap->n_div > 0) {
                int i;
                p = isl_printer_print_str(p, s_open_exists[latex]);
                for (i = 0; i < bmap->n_div; ++i) {
                        if (i)
                                p = isl_printer_print_str(p, ", ");
                        p = print_name(dim, p, isl_dim_div, i, 0, latex);
                        if (latex || isl_int_is_zero(bmap->div[i][0]))
                                continue;
                        p = isl_printer_print_str(p, " = [(");
                        p = print_affine(bmap, dim, p, bmap->div[i] + 1, set);
                        p = isl_printer_print_str(p, ")/");
                        p = isl_printer_print_isl_int(p, bmap->div[i][0]);
                        p = isl_printer_print_str(p, "]");
                }
                p = isl_printer_print_str(p, ": ");
        }

        p = print_constraints(bmap, dim, p, set, latex);

        if (bmap->n_div > 0)
                p = isl_printer_print_str(p, s_close_exists[latex]);
        return p;
}

static __isl_give isl_printer *isl_basic_map_print_isl(
        __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p,
        int set, int latex)
{
        int rational = ISL_F_ISSET(bmap, ISL_BASIC_MAP_RATIONAL);
        if (isl_basic_map_dim(bmap, isl_dim_param) > 0) {
                p = print_tuple(bmap->dim, p, isl_dim_param, 0, latex, NULL);
                p = isl_printer_print_str(p, " -> ");
        }
        p = isl_printer_print_str(p, "{ ");
        p = print_dim(bmap->dim, p, set, latex, rational, NULL);
        p = isl_printer_print_str(p, " : ");
        p = print_disjunct(bmap, bmap->dim, p, set, latex);
        p = isl_printer_print_str(p, " }");
        return p;
}

static __isl_give isl_printer *print_disjuncts(__isl_keep isl_map *map,
        __isl_take isl_printer *p, int set, int latex)
{
        int i;

        if (isl_map_fast_is_universe(map))
                return p;

        p = isl_printer_print_str(p, s_such_that[latex]);
        if (map->n == 0)
                p = isl_printer_print_str(p, "1 = 0");
        for (i = 0; i < map->n; ++i) {
                if (i)
                        p = isl_printer_print_str(p, s_or[latex]);
                if (map->n > 1 && map->p[i]->n_eq + map->p[i]->n_ineq > 1)
                        p = isl_printer_print_str(p, "(");
                p = print_disjunct(map->p[i], map->dim, p, set, latex);
                if (map->n > 1 && map->p[i]->n_eq + map->p[i]->n_ineq > 1)
                        p = isl_printer_print_str(p, ")");
        }
        return p;
}

struct isl_aff_split {
        isl_basic_map *aff;
        isl_map *map;
};

static void free_split(__isl_take struct isl_aff_split *split, int n)
{
        int i;

        if (!split)
                return;

        for (i = 0; i < n; ++i) {
                isl_basic_map_free(split[i].aff);
                isl_map_free(split[i].map);
        }

        free(split);
}

static __isl_give isl_basic_map *get_aff(__isl_take isl_basic_map *bmap)
{
        int i, j;
        unsigned nparam, n_in, n_out, total;

        bmap = isl_basic_map_cow(bmap);
        if (!bmap)
                return NULL;
        if (isl_basic_map_free_inequality(bmap, bmap->n_ineq) < 0)
                goto error;

        nparam = isl_basic_map_dim(bmap, isl_dim_param);
        n_in = isl_basic_map_dim(bmap, isl_dim_in);
        n_out = isl_basic_map_dim(bmap, isl_dim_out);
        total = isl_basic_map_dim(bmap, isl_dim_all);
        for (i = bmap->n_eq - 1; i >= 0; --i) {
                j = isl_seq_last_non_zero(bmap->eq[i] + 1, total);
                if (j >= nparam && j < nparam + n_in + n_out &&
                    (isl_int_is_one(bmap->eq[i][1 + j]) ||
                     isl_int_is_negone(bmap->eq[i][1 + j])))
                        continue;
                if (isl_basic_map_drop_equality(bmap, i) < 0)
                        goto error;
        }

        bmap = isl_basic_map_finalize(bmap);

        return bmap;
error:
        isl_basic_map_free(bmap);
        return NULL;
}

static int aff_split_cmp(const void *p1, const void *p2)
{
        const struct isl_aff_split *s1, *s2;
        s1 = (const struct isl_aff_split *) p1;
        s2 = (const struct isl_aff_split *) p2;

        return isl_basic_map_fast_cmp(s1->aff, s2->aff);
}

static __isl_give isl_basic_map *drop_aff(__isl_take isl_basic_map *bmap,
        __isl_keep isl_basic_map *aff)
{
        int i, j;
        unsigned total;

        if (!bmap || !aff)
                goto error;

        total = isl_dim_total(bmap->dim);

        for (i = bmap->n_eq - 1; i >= 0; --i) {
                if (isl_seq_first_non_zero(bmap->eq[i] + 1 + total,
                                            bmap->n_div) != -1)
                        continue;
                for (j = 0; j < aff->n_eq; ++j) {
                        if (!isl_seq_eq(bmap->eq[i], aff->eq[j], 1 + total) &&
                            !isl_seq_is_neg(bmap->eq[i], aff->eq[j], 1 + total))
                                continue;
                        if (isl_basic_map_drop_equality(bmap, i) < 0)
                                goto error;
                        break;
                }
        }

        return bmap;
error:
        isl_basic_map_free(bmap);
        return NULL;
}

static __isl_give struct isl_aff_split *split_aff(__isl_keep isl_map *map)
{
        int i, n;
        struct isl_aff_split *split;

        split = isl_calloc_array(map->isl, struct isl_aff_split, map->n);
        if (!split)
                return NULL;
        
        for (i = 0; i < map->n; ++i) {
                isl_basic_map *bmap;
                split[i].aff = get_aff(isl_basic_map_copy(map->p[i]));
                bmap = isl_basic_map_copy(map->p[i]);
                bmap = isl_basic_map_cow(bmap);
                bmap = drop_aff(bmap, split[i].aff);
                split[i].map = isl_map_from_basic_map(bmap);
                if (!split[i].aff || !split[i].map)
                        goto error;
        }

        qsort(split, map->n, sizeof(struct isl_aff_split), &aff_split_cmp);

        n = map->n;
        for (i = n - 1; i >= 1; --i) {
                if (!isl_basic_map_fast_is_equal(split[i - 1].aff,
                                                 split[i].aff))
                        continue;
                isl_basic_map_free(split[i].aff);
                split[i - 1].map = isl_map_union(split[i - 1].map,
                                                 split[i].map);
                if (i != n - 1)
                        split[i] = split[n - 1];
                split[n - 1].aff = NULL;
                split[n - 1].map = NULL;
                --n;
        }

        return split;
error:
        free_split(split, map->n);
        return NULL;
}

static __isl_give isl_printer *print_split_map(__isl_take isl_printer *p,
        struct isl_aff_split *split, int n, int set)
{
        int i;
        int rational;

        for (i = 0; i < n; ++i) {
                isl_dim *dim;

                if (!split[i].map)
                        break;
                dim = split[i].map->dim;
                rational = split[i].map->n > 0 &&
                    ISL_F_ISSET(split[i].map->p[0], ISL_BASIC_MAP_RATIONAL);
                if (i)
                        p = isl_printer_print_str(p, "; ");
                p = print_dim(dim, p, set, 0, rational, split[i].aff);
                p = print_disjuncts(split[i].map, p, set, 0);
        }

        return p;
}

static __isl_give isl_printer *isl_map_print_isl_body(__isl_keep isl_map *map,
        __isl_take isl_printer *p, int set)
{
        struct isl_aff_split *split = NULL;
        int rational;

        if (map->n > 0)
                split = split_aff(map);
        if (split) {
                p = print_split_map(p, split, map->n, set);
        } else {
                rational = map->n > 0 &&
                    ISL_F_ISSET(map->p[0], ISL_BASIC_MAP_RATIONAL);
                p = print_dim(map->dim, p, set, 0, rational, NULL);
                p = print_disjuncts(map, p, set, 0);
        }
        free_split(split, map->n);
        return p;
}

static __isl_give isl_printer *isl_map_print_isl(__isl_keep isl_map *map,
        __isl_take isl_printer *p, int set)
{
        if (isl_map_dim(map, isl_dim_param) > 0) {
                p = print_tuple(map->dim, p, isl_dim_param, set, 0, NULL);
                p = isl_printer_print_str(p, s_to[0]);
        }
        p = isl_printer_print_str(p, s_open_set[0]);
        p = isl_map_print_isl_body(map, p, set);
        p = isl_printer_print_str(p, s_close_set[0]);
        return p;
}

static __isl_give isl_printer *print_latex_map(__isl_keep isl_map *map,
        __isl_take isl_printer *p, __isl_keep isl_basic_map *aff, int set)
{
        if (isl_map_dim(map, isl_dim_param) > 0) {
                p = print_tuple(map->dim, p, isl_dim_param, set, 1, NULL);
                p = isl_printer_print_str(p, s_to[1]);
        }
        p = isl_printer_print_str(p, s_open_set[1]);
        p = print_dim(map->dim, p, set, 1, 0, aff);
        p = print_disjuncts(map, p, set, 1);
        p = isl_printer_print_str(p, s_close_set[1]);

        return p;
}

static __isl_give isl_printer *isl_map_print_latex(__isl_keep isl_map *map,
        __isl_take isl_printer *p, int set)
{
        int i;
        struct isl_aff_split *split = NULL;

        if (map->n > 0)
                split = split_aff(map);

        if (!split)
                return print_latex_map(map, p, NULL, set);

        for (i = 0; i < map->n; ++i) {
                if (!split[i].map)
                        break;
                if (i)
                        p = isl_printer_print_str(p, " \\cup ");
                p = print_latex_map(split[i].map, p, split[i].aff, set);
        }

        free_split(split, map->n);
        return p;
}

__isl_give isl_printer *isl_printer_print_basic_map(__isl_take isl_printer *p,
        __isl_keep isl_basic_map *bmap)
{
        if (!p || !bmap)
                goto error;
        if (p->output_format == ISL_FORMAT_ISL)
                return isl_basic_map_print_isl(bmap, p, 0, 0);
        else if (p->output_format == ISL_FORMAT_OMEGA)
                return isl_basic_map_print_omega(bmap, p);
        isl_assert(bmap->ctx, 0, goto error);
error:
        isl_printer_free(p);
        return NULL;
}

void isl_basic_map_print(__isl_keep isl_basic_map *bmap, FILE *out, int indent,
        const char *prefix, const char *suffix, unsigned output_format)
{
        isl_printer *printer;

        if (!bmap)
                return;

        printer = isl_printer_to_file(bmap->ctx, out);
        printer = isl_printer_set_indent(printer, indent);
        printer = isl_printer_set_prefix(printer, prefix);
        printer = isl_printer_set_suffix(printer, suffix);
        printer = isl_printer_set_output_format(printer, output_format);
        isl_printer_print_basic_map(printer, bmap);

        isl_printer_free(printer);
}

__isl_give isl_printer *isl_printer_print_basic_set(__isl_take isl_printer *p,
        __isl_keep isl_basic_set *bset)
{
        if (!p || !bset)
                goto error;

        if (p->output_format == ISL_FORMAT_ISL)
                return isl_basic_map_print_isl(bset, p, 1, 0);
        else if (p->output_format == ISL_FORMAT_POLYLIB)
                return isl_basic_set_print_polylib(bset, p, 0);
        else if (p->output_format == ISL_FORMAT_EXT_POLYLIB)
                return isl_basic_set_print_polylib(bset, p, 1);
        else if (p->output_format == ISL_FORMAT_POLYLIB_CONSTRAINTS)
                return bset_print_constraints_polylib(bset, p);
        else if (p->output_format == ISL_FORMAT_OMEGA)
                return isl_basic_set_print_omega(bset, p);
        isl_assert(p->ctx, 0, goto error);
error:
        isl_printer_free(p);
        return NULL;
}

void isl_basic_set_print(struct isl_basic_set *bset, FILE *out, int indent,
        const char *prefix, const char *suffix, unsigned output_format)
{
        isl_printer *printer;

        if (!bset)
                return;

        printer = isl_printer_to_file(bset->ctx, out);
        printer = isl_printer_set_indent(printer, indent);
        printer = isl_printer_set_prefix(printer, prefix);
        printer = isl_printer_set_suffix(printer, suffix);
        printer = isl_printer_set_output_format(printer, output_format);
        isl_printer_print_basic_set(printer, bset);

        isl_printer_free(printer);
}

__isl_give isl_printer *isl_printer_print_set(__isl_take isl_printer *p,
        __isl_keep isl_set *set)
{
        if (!p || !set)
                goto error;
        if (p->output_format == ISL_FORMAT_ISL)
                return isl_map_print_isl((isl_map *)set, p, 1);
        else if (p->output_format == ISL_FORMAT_POLYLIB)
                return isl_set_print_polylib(set, p, 0);
        else if (p->output_format == ISL_FORMAT_EXT_POLYLIB)
                return isl_set_print_polylib(set, p, 1);
        else if (p->output_format == ISL_FORMAT_OMEGA)
                return isl_set_print_omega(set, p);
        else if (p->output_format == ISL_FORMAT_LATEX)
                return isl_map_print_latex((isl_map *)set, p, 1);
        isl_assert(set->ctx, 0, goto error);
error:
        isl_printer_free(p);
        return NULL;
}

void isl_set_print(struct isl_set *set, FILE *out, int indent,
        unsigned output_format)
{
        isl_printer *printer;

        if (!set)
                return;

        printer = isl_printer_to_file(set->ctx, out);
        printer = isl_printer_set_indent(printer, indent);
        printer = isl_printer_set_output_format(printer, output_format);
        printer = isl_printer_print_set(printer, set);

        isl_printer_free(printer);
}

__isl_give isl_printer *isl_printer_print_map(__isl_take isl_printer *p,
        __isl_keep isl_map *map)
{
        if (!p || !map)
                goto error;

        if (p->output_format == ISL_FORMAT_ISL)
                return isl_map_print_isl(map, p, 0);
        else if (p->output_format == ISL_FORMAT_POLYLIB)
                return isl_map_print_polylib(map, p, 0);
        else if (p->output_format == ISL_FORMAT_EXT_POLYLIB)
                return isl_map_print_polylib(map, p, 1);
        else if (p->output_format == ISL_FORMAT_OMEGA)
                return isl_map_print_omega(map, p);
        else if (p->output_format == ISL_FORMAT_LATEX)
                return isl_map_print_latex(map, p, 0);
        isl_assert(map->ctx, 0, goto error);
error:
        isl_printer_free(p);
        return NULL;
}

struct isl_union_print_data {
        isl_printer *p;
        int set;
        int first;
};

static int print_map_body(__isl_take isl_map *map, void *user)
{
        struct isl_union_print_data *data;
        data = (struct isl_union_print_data *)user;

        if (!data->first)
                data->p = isl_printer_print_str(data->p, "; ");
        data->first = 0;

        data->p = isl_map_print_isl_body(map, data->p, data->set);
        isl_map_free(map);

        return 0;
}

static __isl_give isl_printer *isl_union_map_print_isl(
        __isl_keep isl_union_map *umap, __isl_take isl_printer *p, int set)
{
        struct isl_union_print_data data = { p, set, 1 };
        isl_dim *dim;
        dim = isl_union_map_get_dim(umap);
        if (isl_dim_size(dim, isl_dim_param) > 0) {
                p = print_tuple(dim, p, isl_dim_param, set, 0, NULL);
                p = isl_printer_print_str(p, s_to[0]);
        }
        isl_dim_free(dim);
        p = isl_printer_print_str(p, s_open_set[0]);
        isl_union_map_foreach_map(umap, &print_map_body, &data);
        p = data.p;
        p = isl_printer_print_str(p, s_close_set[0]);
        return p;
}

static int print_latex_map_body(__isl_take isl_map *map, void *user)
{
        struct isl_union_print_data *data;
        data = (struct isl_union_print_data *)user;

        if (!data->first)
                data->p = isl_printer_print_str(data->p, " \\cup ");
        data->first = 0;

        data->p = isl_map_print_latex(map, data->p, data->set);
        isl_map_free(map);

        return 0;
}

static __isl_give isl_printer *isl_union_map_print_latex(
        __isl_keep isl_union_map *umap, __isl_take isl_printer *p, int set)
{
        struct isl_union_print_data data = { p, set, 1 };
        isl_union_map_foreach_map(umap, &print_latex_map_body, &data);
        p = data.p;
        return p;
}

__isl_give isl_printer *isl_printer_print_union_map(__isl_take isl_printer *p,
        __isl_keep isl_union_map *umap)
{
        if (!p || !umap)
                goto error;

        if (p->output_format == ISL_FORMAT_ISL)
                return isl_union_map_print_isl(umap, p, 0);
        if (p->output_format == ISL_FORMAT_LATEX)
                return isl_union_map_print_latex(umap, p, 0);

        isl_die(p->ctx, isl_error_invalid,
                "invalid output format for isl_union_map", goto error);
error:
        isl_printer_free(p);
        return NULL;
}

__isl_give isl_printer *isl_printer_print_union_set(__isl_take isl_printer *p,
        __isl_keep isl_union_set *uset)
{
        if (!p || !uset)
                goto error;

        if (p->output_format == ISL_FORMAT_ISL)
                return isl_union_map_print_isl((isl_union_map *)uset, p, 1);
        if (p->output_format == ISL_FORMAT_LATEX)
                return isl_union_map_print_latex((isl_union_map *)uset, p, 1);

        isl_die(p->ctx, isl_error_invalid,
                "invalid output format for isl_union_set", goto error);
error:
        isl_printer_free(p);
        return NULL;
}

void isl_map_print(__isl_keep isl_map *map, FILE *out, int indent,
        unsigned output_format)
{
        isl_printer *printer;

        if (!map)
                return;

        printer = isl_printer_to_file(map->ctx, out);
        printer = isl_printer_set_indent(printer, indent);
        printer = isl_printer_set_output_format(printer, output_format);
        printer = isl_printer_print_map(printer, map);

        isl_printer_free(printer);
}

void isl_basic_map_dump(__isl_keep isl_basic_map *bmap)
{
        isl_printer *printer;

        if (!bmap)
                return;

        printer = isl_printer_to_file(isl_basic_map_get_ctx(bmap), stderr);
        printer = isl_printer_print_basic_map(printer, bmap);
        printer = isl_printer_end_line(printer);

        isl_printer_free(printer);
}

void isl_basic_set_dump(__isl_keep isl_basic_set *bset)
{
        isl_printer *printer;

        if (!bset)
                return;

        printer = isl_printer_to_file(isl_basic_set_get_ctx(bset), stderr);
        printer = isl_printer_print_basic_set(printer, bset);
        printer = isl_printer_end_line(printer);

        isl_printer_free(printer);
}

void isl_map_dump(__isl_keep isl_map *map)
{
        isl_printer *printer;

        if (!map)
                return;

        printer = isl_printer_to_file(isl_map_get_ctx(map), stderr);
        printer = isl_printer_print_map(printer, map);
        printer = isl_printer_end_line(printer);

        isl_printer_free(printer);
}

void isl_set_dump(__isl_keep isl_set *set)
{
        isl_printer *printer;

        if (!set)
                return;

        printer = isl_printer_to_file(isl_set_get_ctx(set), stderr);
        printer = isl_printer_print_set(printer, set);
        printer = isl_printer_end_line(printer);

        isl_printer_free(printer);
}

void isl_union_map_dump(__isl_keep isl_union_map *umap)
{
        isl_printer *printer;

        if (!umap)
                return;

        printer = isl_printer_to_file(isl_union_map_get_ctx(umap), stderr);
        printer = isl_printer_print_union_map(printer, umap);
        printer = isl_printer_end_line(printer);

        isl_printer_free(printer);
}

void isl_union_set_dump(__isl_keep isl_union_set *uset)
{
        isl_printer *printer;

        if (!uset)
                return;

        printer = isl_printer_to_file(isl_union_set_get_ctx(uset), stderr);
        printer = isl_printer_print_union_set(printer, uset);
        printer = isl_printer_end_line(printer);

        isl_printer_free(printer);
}

void isl_union_pw_qpolynomial_dump(__isl_keep isl_union_pw_qpolynomial *upwqp)
{
        isl_printer *printer;

        if (!upwqp)
                return;

        printer = isl_printer_to_file(isl_union_pw_qpolynomial_get_ctx(upwqp),
                                        stderr);
        printer = isl_printer_print_union_pw_qpolynomial(printer, upwqp);
        printer = isl_printer_end_line(printer);

        isl_printer_free(printer);
}

void isl_qpolynomial_dump(__isl_keep isl_qpolynomial *qp)
{
        isl_printer *printer;

        if (!qp)
                return;

        printer = isl_printer_to_file(isl_qpolynomial_get_ctx(qp), stderr);
        printer = isl_printer_print_qpolynomial(printer, qp);
        printer = isl_printer_end_line(printer);

        isl_printer_free(printer);
}

void isl_qpolynomial_fold_dump(__isl_keep isl_qpolynomial_fold *fold)
{
        isl_printer *printer;

        if (!fold)
                return;

        printer = isl_printer_to_file(isl_qpolynomial_fold_get_ctx(fold),
                                        stderr);
        printer = isl_printer_print_qpolynomial_fold(printer, fold);
        printer = isl_printer_end_line(printer);

        isl_printer_free(printer);
}

void isl_pw_qpolynomial_dump(__isl_keep isl_pw_qpolynomial *pwqp)
{
        isl_printer *printer;

        if (!pwqp)
                return;

        printer = isl_printer_to_file(isl_pw_qpolynomial_get_ctx(pwqp), stderr);
        printer = isl_printer_print_pw_qpolynomial(printer, pwqp);
        printer = isl_printer_end_line(printer);

        isl_printer_free(printer);
}

void isl_pw_qpolynomial_fold_dump(__isl_keep isl_pw_qpolynomial_fold *pwf)
{
        isl_printer *printer;

        if (!pwf)
                return;

        printer = isl_printer_to_file(
                        isl_pw_qpolynomial_fold_get_ctx(pwf), stderr);
        printer = isl_printer_print_pw_qpolynomial_fold(printer, pwf);
        printer = isl_printer_end_line(printer);

        isl_printer_free(printer);
}

void isl_union_pw_qpolynomial_fold_dump(
        __isl_keep isl_union_pw_qpolynomial_fold *upwf)
{
        isl_printer *printer;

        if (!upwf)
                return;

        printer = isl_printer_to_file(
                        isl_union_pw_qpolynomial_fold_get_ctx(upwf), stderr);
        printer = isl_printer_print_union_pw_qpolynomial_fold(printer, upwf);
        printer = isl_printer_end_line(printer);

        isl_printer_free(printer);
}

static int upoly_rec_n_non_zero(__isl_keep struct isl_upoly_rec *rec)
{
        int i;
        int n;

        for (i = 0, n = 0; i < rec->n; ++i)
                if (!isl_upoly_is_zero(rec->p[i]))
                        ++n;

        return n;
}

static __isl_give isl_printer *print_div(__isl_keep isl_dim *dim,
        __isl_keep isl_mat *div, int pos, __isl_take isl_printer *p)
{
        int c = p->output_format == ISL_FORMAT_C;
        p = isl_printer_print_str(p, c ? "floord(" : "[(");
        p = print_affine_of_len(dim, div, p,
                                div->row[pos] + 1, div->n_col - 1, 1);
        p = isl_printer_print_str(p, c ? ", " : ")/");
        p = isl_printer_print_isl_int(p, div->row[pos][0]);
        p = isl_printer_print_str(p, c ? ")" : "]");
        return p;
}

static __isl_give isl_printer *upoly_print_cst(__isl_keep struct isl_upoly *up,
        __isl_take isl_printer *p, int first)
{
        struct isl_upoly_cst *cst;
        int neg;

        cst = isl_upoly_as_cst(up);
        if (!cst)
                goto error;
        neg = !first && isl_int_is_neg(cst->n);
        if (!first)
                p = isl_printer_print_str(p, neg ? " - " :  " + ");
        if (neg)
                isl_int_neg(cst->n, cst->n);
        if (isl_int_is_zero(cst->d)) {
                int sgn = isl_int_sgn(cst->n);
                p = isl_printer_print_str(p, sgn < 0 ? "-infty" :
                                            sgn == 0 ? "NaN" : "infty");
        } else
                p = isl_printer_print_isl_int(p, cst->n);
        if (neg)
                isl_int_neg(cst->n, cst->n);
        if (!isl_int_is_zero(cst->d) && !isl_int_is_one(cst->d)) {
                p = isl_printer_print_str(p, "/");
                p = isl_printer_print_isl_int(p, cst->d);
        }
        return p;
error:
        isl_printer_free(p);
        return NULL;
}

static __isl_give isl_printer *print_base(__isl_take isl_printer *p,
        __isl_keep isl_dim *dim, __isl_keep isl_mat *div, int var)
{
        unsigned total;

        total = isl_dim_total(dim);
        if (var < total)
                p = print_term(dim, NULL, dim->ctx->one, 1 + var, p, 1, 0);
        else
                p = print_div(dim, div, var - total, p);
        return p;
}

static __isl_give isl_printer *print_pow(__isl_take isl_printer *p,
        __isl_keep isl_dim *dim, __isl_keep isl_mat *div, int var, int exp)
{
        p = print_base(p, dim, div, var);
        if (exp == 1)
                return p;
        if (p->output_format == ISL_FORMAT_C) {
                int i;
                for (i = 1; i < exp; ++i) {
                        p = isl_printer_print_str(p, "*");
                        p = print_base(p, dim, div, var);
                }
        } else {
                p = isl_printer_print_str(p, "^");
                p = isl_printer_print_int(p, exp);
        }
        return p;
}

static __isl_give isl_printer *upoly_print(__isl_keep struct isl_upoly *up,
        __isl_keep isl_dim *dim, __isl_keep isl_mat *div,
        __isl_take isl_printer *p, int outer)
{
        int i, n, first, print_parens;
        struct isl_upoly_rec *rec;

        if (!p || !up || !dim || !div)
                goto error;

        if (isl_upoly_is_cst(up))
                return upoly_print_cst(up, p, 1);

        rec = isl_upoly_as_rec(up);
        if (!rec)
                goto error;
        n = upoly_rec_n_non_zero(rec);
        print_parens = n > 1 || (outer && rec->up.var >= isl_dim_total(dim));
        if (print_parens)
                p = isl_printer_print_str(p, "(");
        for (i = 0, first = 1; i < rec->n; ++i) {
                if (isl_upoly_is_zero(rec->p[i]))
                        continue;
                if (isl_upoly_is_negone(rec->p[i])) {
                        if (!i)
                                p = isl_printer_print_str(p, "-1");
                        else if (first)
                                p = isl_printer_print_str(p, "-");
                        else
                                p = isl_printer_print_str(p, " - ");
                } else if (isl_upoly_is_cst(rec->p[i]) &&
                                !isl_upoly_is_one(rec->p[i]))
                        p = upoly_print_cst(rec->p[i], p, first);
                else {
                        if (!first)
                                p = isl_printer_print_str(p, " + ");
                        if (i == 0 || !isl_upoly_is_one(rec->p[i]))
                                p = upoly_print(rec->p[i], dim, div, p, 0);
                }
                first = 0;
                if (i == 0)
                        continue;
                if (!isl_upoly_is_one(rec->p[i]) &&
                    !isl_upoly_is_negone(rec->p[i]))
                        p = isl_printer_print_str(p, " * ");
                p = print_pow(p, dim, div, rec->up.var, i);
        }
        if (print_parens)
                p = isl_printer_print_str(p, ")");
        return p;
error:
        isl_printer_free(p);
        return NULL;
}

__isl_give isl_printer *isl_printer_print_qpolynomial(__isl_take isl_printer *p,
        __isl_keep isl_qpolynomial *qp)
{
        if (!p || !qp)
                goto error;
        p = upoly_print(qp->upoly, qp->dim, qp->div, p, 1);
        return p;
error:
        isl_printer_free(p);
        return NULL;
}

void isl_qpolynomial_print(__isl_keep isl_qpolynomial *qp, FILE *out,
        unsigned output_format)
{
        isl_printer *p;

        if  (!qp)
                return;

        isl_assert(qp->dim->ctx, output_format == ISL_FORMAT_ISL, return);
        p = isl_printer_to_file(qp->dim->ctx, out);
        p = isl_printer_print_qpolynomial(p, qp);
        isl_printer_free(p);
}

static __isl_give isl_printer *qpolynomial_fold_print(
        __isl_keep isl_qpolynomial_fold *fold, __isl_take isl_printer *p)
{
        int i;

        if (fold->type == isl_fold_min)
                p = isl_printer_print_str(p, "min");
        else if (fold->type == isl_fold_max)
                p = isl_printer_print_str(p, "max");
        p = isl_printer_print_str(p, "(");
        for (i = 0; i < fold->n; ++i) {
                if (i)
                        p = isl_printer_print_str(p, ", ");
                p = isl_printer_print_qpolynomial(p, fold->qp[i]);
        }
        p = isl_printer_print_str(p, ")");
        return p;
}

void isl_qpolynomial_fold_print(__isl_keep isl_qpolynomial_fold *fold,
        FILE *out, unsigned output_format)
{
        isl_printer *p;

        if (!fold)
                return;

        isl_assert(fold->dim->ctx, output_format == ISL_FORMAT_ISL, return);

        p = isl_printer_to_file(fold->dim->ctx, out);
        p = isl_printer_print_qpolynomial_fold(p, fold);

        isl_printer_free(p);
}

static __isl_give isl_printer *isl_pwqp_print_isl_body(
        __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp)
{
        int i = 0;

        for (i = 0; i < pwqp->n; ++i) {
                if (i)
                        p = isl_printer_print_str(p, "; ");
                if (isl_dim_size(pwqp->dim, isl_dim_set) > 0 ||
                    isl_dim_is_named_or_nested(pwqp->dim, isl_dim_set)) {
                        p = print_dim(pwqp->p[i].set->dim, p, 1, 0, 0, NULL);
                        p = isl_printer_print_str(p, " -> ");
                }
                p = isl_printer_print_qpolynomial(p, pwqp->p[i].qp);
                p = print_disjuncts((isl_map *)pwqp->p[i].set, p, 1, 0);
        }

        return p;
}

static __isl_give isl_printer *print_pw_qpolynomial_isl(
        __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp)
{
        if (!p || !pwqp)
                goto error;

        if (isl_dim_size(pwqp->dim, isl_dim_param) > 0) {
                p = print_tuple(pwqp->dim, p, isl_dim_param, 0, 0, NULL);
                p = isl_printer_print_str(p, " -> ");
        }
        p = isl_printer_print_str(p, "{ ");
        if (pwqp->n == 0) {
                if (isl_dim_size(pwqp->dim, isl_dim_set) > 0 ||
                    isl_dim_is_named_or_nested(pwqp->dim, isl_dim_set)) {
                        p = print_dim(pwqp->dim, p, 1, 0, 0, NULL);
                        p = isl_printer_print_str(p, " -> ");
                }
                p = isl_printer_print_str(p, "0");
        }
        p = isl_pwqp_print_isl_body(p, pwqp);
        p = isl_printer_print_str(p, " }");
        return p;
error:
        isl_printer_free(p);
        return NULL;
}

void isl_pw_qpolynomial_print(__isl_keep isl_pw_qpolynomial *pwqp, FILE *out,
        unsigned output_format)
{
        isl_printer *p;

        if (!pwqp)
                return;

        p = isl_printer_to_file(pwqp->dim->ctx, out);
        p = isl_printer_set_output_format(p, output_format);
        p = isl_printer_print_pw_qpolynomial(p, pwqp);

        isl_printer_free(p);
}

static __isl_give isl_printer *isl_pwf_print_isl_body(
        __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
{
        int i = 0;

        for (i = 0; i < pwf->n; ++i) {
                if (i)
                        p = isl_printer_print_str(p, "; ");
                if (isl_dim_size(pwf->dim, isl_dim_set) > 0 ||
                    isl_dim_is_named_or_nested(pwf->dim, isl_dim_set)) {
                        p = print_dim(pwf->p[i].set->dim, p, 1, 0, 0, NULL);
                        p = isl_printer_print_str(p, " -> ");
                }
                p = qpolynomial_fold_print(pwf->p[i].fold, p);
                p = print_disjuncts((isl_map *)pwf->p[i].set, p, 1, 0);
        }

        return p;
}

static __isl_give isl_printer *print_pw_qpolynomial_fold_isl(
        __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
{
        if (isl_dim_size(pwf->dim, isl_dim_param) > 0) {
                p = print_tuple(pwf->dim, p, isl_dim_param, 0, 0, NULL);
                p = isl_printer_print_str(p, " -> ");
        }
        p = isl_printer_print_str(p, "{ ");
        if (pwf->n == 0) {
                if (isl_dim_size(pwf->dim, isl_dim_set) > 0 ||
                    isl_dim_is_named_or_nested(pwf->dim, isl_dim_set)) {
                        p = print_dim(pwf->dim, p, 1, 0, 0, NULL);
                        p = isl_printer_print_str(p, " -> ");
                }
                p = isl_printer_print_str(p, "0");
        }
        p = isl_pwf_print_isl_body(p, pwf);
        p = isl_printer_print_str(p, " }");
        return p;
}

static __isl_give isl_printer *print_affine_c(__isl_take isl_printer *p,
        __isl_keep isl_dim *dim, __isl_keep isl_basic_set *bset, isl_int *c);

static __isl_give isl_printer *print_name_c(__isl_take isl_printer *p,
        __isl_keep isl_dim *dim,
        __isl_keep isl_basic_set *bset, enum isl_dim_type type, unsigned pos)
{
        if (type == isl_dim_div) {
                p = isl_printer_print_str(p, "floord(");
                p = print_affine_c(p, dim, bset, bset->div[pos] + 1);
                p = isl_printer_print_str(p, ", ");
                p = isl_printer_print_isl_int(p, bset->div[pos][0]);
                p = isl_printer_print_str(p, ")");
        } else {
                const char *name;

                name = isl_dim_get_name(dim, type, pos);
                if (!name)
                        name = "UNNAMED";
                p = isl_printer_print_str(p, name);
        }
        return p;
}

static __isl_give isl_printer *print_term_c(__isl_take isl_printer *p,
        __isl_keep isl_dim *dim,
        __isl_keep isl_basic_set *bset, isl_int c, unsigned pos)
{
        enum isl_dim_type type;
        unsigned nparam = isl_basic_set_dim(bset, isl_dim_param);

        if (pos == 0)
                return isl_printer_print_isl_int(p, c);

        if (isl_int_is_one(c))
                ;
        else if (isl_int_is_negone(c))
                p = isl_printer_print_str(p, "-");
        else {
                p = isl_printer_print_isl_int(p, c);
                p = isl_printer_print_str(p, "*");
        }
        type = pos2type(dim, &pos);
        p = print_name_c(p, dim, bset, type, pos);
        return p;
}

static __isl_give isl_printer *print_partial_affine_c(__isl_take isl_printer *p,
        __isl_keep isl_dim *dim,
        __isl_keep isl_basic_set *bset, isl_int *c, unsigned len)
{
        int i;
        int first;

        for (i = 0, first = 1; i < len; ++i) {
                int flip = 0;
                if (isl_int_is_zero(c[i]))
                        continue;
                if (!first) {
                        if (isl_int_is_neg(c[i])) {
                                flip = 1;
                                isl_int_neg(c[i], c[i]);
                                p = isl_printer_print_str(p, " - ");
                        } else 
                                p = isl_printer_print_str(p, " + ");
                }
                first = 0;
                p = print_term_c(p, dim, bset, c[i], i);
                if (flip)
                        isl_int_neg(c[i], c[i]);
        }
        if (first)
                p = isl_printer_print_str(p, "0");
        return p;
}

static __isl_give isl_printer *print_affine_c(__isl_take isl_printer *p,
        __isl_keep isl_dim *dim, __isl_keep isl_basic_set *bset, isl_int *c)
{
        unsigned len = 1 + isl_basic_set_total_dim(bset);
        return print_partial_affine_c(p, dim, bset, c, len);
}

static __isl_give isl_printer *print_constraint_c(__isl_take isl_printer *p,
        __isl_keep isl_dim *dim,
        __isl_keep isl_basic_set *bset, isl_int *c, const char *op, int first)
{
        if (!first)
                p = isl_printer_print_str(p, " && ");

        p = print_affine_c(p, dim, bset, c);
        p = isl_printer_print_str(p, " ");
        p = isl_printer_print_str(p, op);
        p = isl_printer_print_str(p, " 0");
        return p;
}

static __isl_give isl_printer *print_basic_set_c(__isl_take isl_printer *p,
        __isl_keep isl_dim *dim, __isl_keep isl_basic_set *bset)
{
        int i, j;
        unsigned n_div = isl_basic_set_dim(bset, isl_dim_div);
        unsigned total = isl_basic_set_total_dim(bset) - n_div;

        for (i = 0; i < bset->n_eq; ++i) {
                j = isl_seq_last_non_zero(bset->eq[i] + 1 + total, n_div);
                if (j < 0)
                        p = print_constraint_c(p, dim, bset,
                                                bset->eq[i], "==", !i);
                else {
                        if (i)
                                p = isl_printer_print_str(p, " && ");
                        p = isl_printer_print_str(p, "(");
                        p = print_partial_affine_c(p, dim, bset, bset->eq[i],
                                                   1 + total + j);
                        p = isl_printer_print_str(p, ") % ");
                        p = isl_printer_print_isl_int(p,
                                                bset->eq[i][1 + total + j]);
                        p = isl_printer_print_str(p, " == 0");
                }
        }
        for (i = 0; i < bset->n_ineq; ++i)
                p = print_constraint_c(p, dim, bset, bset->ineq[i], ">=",
                                        !bset->n_eq && !i);
        return p;
}

static __isl_give isl_printer *print_set_c(__isl_take isl_printer *p,
        __isl_keep isl_dim *dim, __isl_keep isl_set *set)
{
        int i;

        if (set->n == 0)
                p = isl_printer_print_str(p, "0");

        for (i = 0; i < set->n; ++i) {
                if (i)
                        p = isl_printer_print_str(p, " || ");
                if (set->n > 1)
                        p = isl_printer_print_str(p, "(");
                p = print_basic_set_c(p, dim, set->p[i]);
                if (set->n > 1)
                        p = isl_printer_print_str(p, ")");
        }
        return p;
}

static __isl_give isl_printer *print_qpolynomial_c(__isl_take isl_printer *p,
        __isl_keep isl_dim *dim, __isl_keep isl_qpolynomial *qp)
{
        isl_int den;

        isl_int_init(den);
        isl_qpolynomial_get_den(qp, &den);
        if (!isl_int_is_one(den)) {
                isl_qpolynomial *f;
                p = isl_printer_print_str(p, "(");
                qp = isl_qpolynomial_copy(qp);
                f = isl_qpolynomial_rat_cst(isl_dim_copy(qp->dim),
                                                den, qp->dim->ctx->one);
                qp = isl_qpolynomial_mul(qp, f);
        }
        if (qp)
                p = upoly_print(qp->upoly, dim, qp->div, p, 0);
        if (!isl_int_is_one(den)) {
                p = isl_printer_print_str(p, ")/");
                p = isl_printer_print_isl_int(p, den);
                isl_qpolynomial_free(qp);
        }
        isl_int_clear(den);
        return p;
}

static __isl_give isl_printer *print_pw_qpolynomial_c(
        __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp)
{
        int i;

        if (pwqp->n == 1 && isl_set_fast_is_universe(pwqp->p[0].set))
                return print_qpolynomial_c(p, pwqp->dim, pwqp->p[0].qp);

        for (i = 0; i < pwqp->n; ++i) {
                p = isl_printer_print_str(p, "(");
                p = print_set_c(p, pwqp->dim, pwqp->p[i].set);
                p = isl_printer_print_str(p, ") ? (");
                p = print_qpolynomial_c(p, pwqp->dim, pwqp->p[i].qp);
                p = isl_printer_print_str(p, ") : ");
        }

        p = isl_printer_print_str(p, "0");
        return p;
}

__isl_give isl_printer *isl_printer_print_pw_qpolynomial(
        __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp)
{
        if (!p || !pwqp)
                goto error;

        if (p->output_format == ISL_FORMAT_ISL)
                return print_pw_qpolynomial_isl(p, pwqp);
        else if (p->output_format == ISL_FORMAT_C)
                return print_pw_qpolynomial_c(p, pwqp);
        isl_assert(p->ctx, 0, goto error);
error:
        isl_printer_free(p);
        return NULL;
}

static int print_pwqp_body(__isl_take isl_pw_qpolynomial *pwqp, void *user)
{
        struct isl_union_print_data *data;
        data = (struct isl_union_print_data *)user;

        if (!data->first)
                data->p = isl_printer_print_str(data->p, "; ");
        data->first = 0;

        data->p = isl_pwqp_print_isl_body(data->p, pwqp);
        isl_pw_qpolynomial_free(pwqp);

        return 0;
}

static __isl_give isl_printer *print_union_pw_qpolynomial_isl(
        __isl_take isl_printer *p, __isl_keep isl_union_pw_qpolynomial *upwqp)
{
        struct isl_union_print_data data = { p, 1, 1 };
        isl_dim *dim;
        dim = isl_union_pw_qpolynomial_get_dim(upwqp);
        if (isl_dim_size(dim, isl_dim_param) > 0) {
                p = print_tuple(dim, p, isl_dim_param, 1, 0, NULL);
                p = isl_printer_print_str(p, " -> ");
        }
        isl_dim_free(dim);
        p = isl_printer_print_str(p, "{ ");
        isl_union_pw_qpolynomial_foreach_pw_qpolynomial(upwqp, &print_pwqp_body,
                                                        &data);
        p = data.p;
        p = isl_printer_print_str(p, " }");
        return p;
}

__isl_give isl_printer *isl_printer_print_union_pw_qpolynomial(
        __isl_take isl_printer *p, __isl_keep isl_union_pw_qpolynomial *upwqp)
{
        if (!p || !upwqp)
                goto error;

        if (p->output_format == ISL_FORMAT_ISL)
                return print_union_pw_qpolynomial_isl(p, upwqp);
        isl_die(p->ctx, isl_error_invalid,
                "invalid output format for isl_union_pw_qpolynomial",
                goto error);
error:
        isl_printer_free(p);
        return NULL;
}

static __isl_give isl_printer *print_qpolynomial_fold_c(
        __isl_take isl_printer *p, __isl_keep isl_dim *dim,
        __isl_keep isl_qpolynomial_fold *fold)
{
        int i;

        for (i = 0; i < fold->n - 1; ++i)
                if (fold->type == isl_fold_min)
                        p = isl_printer_print_str(p, "min(");
                else if (fold->type == isl_fold_max)
                        p = isl_printer_print_str(p, "max(");

        for (i = 0; i < fold->n; ++i) {
                if (i)
                        p = isl_printer_print_str(p, ", ");
                p = print_qpolynomial_c(p, dim, fold->qp[i]);
                if (i)
                        p = isl_printer_print_str(p, ")");
        }
        return p;
}

__isl_give isl_printer *isl_printer_print_qpolynomial_fold(
        __isl_take isl_printer *p, __isl_keep isl_qpolynomial_fold *fold)
{
        if  (!p || !fold)
                goto error;
        if (p->output_format == ISL_FORMAT_ISL)
                return qpolynomial_fold_print(fold, p);
        else if (p->output_format == ISL_FORMAT_C)
                return print_qpolynomial_fold_c(p, fold->dim, fold);
        isl_die(p->ctx, isl_error_unsupported, "unsupported output format",
                goto error);
error:
        isl_printer_free(p);
        return NULL;
}

static __isl_give isl_printer *print_pw_qpolynomial_fold_c(
        __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
{
        int i;

        if (pwf->n == 1 && isl_set_fast_is_universe(pwf->p[0].set))
                return print_qpolynomial_fold_c(p, pwf->dim, pwf->p[0].fold);

        for (i = 0; i < pwf->n; ++i) {
                p = isl_printer_print_str(p, "(");
                p = print_set_c(p, pwf->dim, pwf->p[i].set);
                p = isl_printer_print_str(p, ") ? (");
                p = print_qpolynomial_fold_c(p, pwf->dim, pwf->p[i].fold);
                p = isl_printer_print_str(p, ") : ");
        }

        p = isl_printer_print_str(p, "0");
        return p;
}

__isl_give isl_printer *isl_printer_print_pw_qpolynomial_fold(
        __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
{
        if (!p || !pwf)
                goto error;

        if (p->output_format == ISL_FORMAT_ISL)
                return print_pw_qpolynomial_fold_isl(p, pwf);
        else if (p->output_format == ISL_FORMAT_C)
                return print_pw_qpolynomial_fold_c(p, pwf);
        isl_assert(p->ctx, 0, goto error);
error:
        isl_printer_free(p);
        return NULL;
}

void isl_pw_qpolynomial_fold_print(__isl_keep isl_pw_qpolynomial_fold *pwf,
        FILE *out, unsigned output_format)
{
        isl_printer *p;

        if (!pwf)
                return;

        p = isl_printer_to_file(pwf->dim->ctx, out);
        p = isl_printer_set_output_format(p, output_format);
        p = isl_printer_print_pw_qpolynomial_fold(p, pwf);

        isl_printer_free(p);
}

static int print_pwf_body(__isl_take isl_pw_qpolynomial_fold *pwf, void *user)
{
        struct isl_union_print_data *data;
        data = (struct isl_union_print_data *)user;

        if (!data->first)
                data->p = isl_printer_print_str(data->p, "; ");
        data->first = 0;

        data->p = isl_pwf_print_isl_body(data->p, pwf);
        isl_pw_qpolynomial_fold_free(pwf);

        return 0;
}

static __isl_give isl_printer *print_union_pw_qpolynomial_fold_isl(
        __isl_take isl_printer *p,
        __isl_keep isl_union_pw_qpolynomial_fold *upwf)
{
        struct isl_union_print_data data = { p, 1, 1 };
        isl_dim *dim;
        dim = isl_union_pw_qpolynomial_fold_get_dim(upwf);
        if (isl_dim_size(dim, isl_dim_param) > 0) {
                p = print_tuple(dim, p, isl_dim_param, 1, 0, NULL);
                p = isl_printer_print_str(p, " -> ");
        }
        isl_dim_free(dim);
        p = isl_printer_print_str(p, "{ ");
        isl_union_pw_qpolynomial_fold_foreach_pw_qpolynomial_fold(upwf,
                                                        &print_pwf_body, &data);
        p = data.p;
        p = isl_printer_print_str(p, " }");
        return p;
}

__isl_give isl_printer *isl_printer_print_union_pw_qpolynomial_fold(
        __isl_take isl_printer *p,
        __isl_keep isl_union_pw_qpolynomial_fold *upwf)
{
        if (!p || !upwf)
                goto error;

        if (p->output_format == ISL_FORMAT_ISL)
                return print_union_pw_qpolynomial_fold_isl(p, upwf);
        isl_die(p->ctx, isl_error_invalid,
                "invalid output format for isl_union_pw_qpolynomial_fold",
                goto error);
error:
        isl_printer_free(p);
        return NULL;
}