rename isl_dim to isl_space
[platform/upstream/isl.git] / isl_input.c
index b8836d7..dd078e5 100644 (file)
 #include <ctype.h>
 #include <stdio.h>
 #include <string.h>
-#include <strings.h>
+#include <isl_ctx_private.h>
+#include <isl_map_private.h>
 #include <isl/set.h>
 #include <isl/seq.h>
 #include <isl/div.h>
-#include <isl/stream.h>
-#include "isl_map_private.h"
+#include <isl_stream_private.h>
 #include <isl/obj.h>
 #include "isl_polynomial_private.h"
 #include <isl/union_map.h>
 #include <isl_mat_private.h>
+#include <isl_aff_private.h>
+#include <isl/list.h>
 
 struct variable {
        char                    *name;
        int                      pos;
-       isl_vec                 *def;
        struct variable         *next;
 };
 
@@ -53,7 +54,6 @@ static void variable_free(struct variable *var)
 {
        while (var) {
                struct variable *next = var->next;
-               isl_vec_free(var->def);
                free(var->name);
                free(var);
                var = next;
@@ -80,7 +80,6 @@ static void vars_drop(struct vars *v, int n)
        var = v->v;
        while (--n >= 0) {
                struct variable *next = var->next;
-               isl_vec_free(var->def);
                free(var->name);
                free(var);
                var = next;
@@ -92,13 +91,12 @@ static struct variable *variable_new(struct vars *v, const char *name, int len,
                                int pos)
 {
        struct variable *var;
-       var = isl_alloc_type(v->ctx, struct variable);
+       var = isl_calloc_type(v->ctx, struct variable);
        if (!var)
                goto error;
        var->name = strdup(name);
        var->name[len] = '\0';
        var->pos = pos;
-       var->def = NULL;
        var->next = v->v;
        return var;
 error:
@@ -140,31 +138,60 @@ static int vars_add_anon(struct vars *v)
        return 0;
 }
 
-static __isl_give isl_basic_map *set_name(__isl_take isl_basic_map *bmap,
+static __isl_give isl_map *set_name(__isl_take isl_map *map,
        enum isl_dim_type type, unsigned pos, char *name)
 {
        char *prime;
 
-       if (!bmap)
+       if (!map)
                return NULL;
        if (!name)
-               return bmap;
+               return map;
 
        prime = strchr(name, '\'');
        if (prime)
                *prime = '\0';
-       bmap = isl_basic_map_set_dim_name(bmap, type, pos, name);
+       map = isl_map_set_dim_name(map, type, pos, name);
        if (prime)
                *prime = '\'';
 
-       return bmap;
+       return map;
+}
+
+/* Obtain next token, with some preprocessing.
+ * In particular, evaluate expressions of the form x^y,
+ * with x and y values.
+ */
+static struct isl_token *next_token(struct isl_stream *s)
+{
+       struct isl_token *tok, *tok2;
+
+       tok = isl_stream_next_token(s);
+       if (!tok || tok->type != ISL_TOKEN_VALUE)
+               return tok;
+       if (!isl_stream_eat_if_available(s, '^'))
+               return tok;
+       tok2 = isl_stream_next_token(s);
+       if (!tok2 || tok2->type != ISL_TOKEN_VALUE) {
+               isl_stream_error(s, tok2, "expecting constant value");
+               goto error;
+       }
+
+       isl_int_pow_ui(tok->u.v, tok->u.v, isl_int_get_ui(tok2->u.v));
+
+       isl_token_free(tok2);
+       return tok;
+error:
+       isl_token_free(tok);
+       isl_token_free(tok2);
+       return NULL;
 }
 
 static int accept_cst_factor(struct isl_stream *s, isl_int *f)
 {
        struct isl_token *tok;
 
-       tok = isl_stream_next_token(s);
+       tok = next_token(s);
        if (!tok || tok->type != ISL_TOKEN_VALUE) {
                isl_stream_error(s, tok, "expecting constant value");
                goto error;
@@ -183,23 +210,163 @@ error:
        return -1;
 }
 
-static struct isl_vec *accept_affine(struct isl_stream *s, struct vars *v);
-static int read_div_definition(struct isl_stream *s, struct vars *v);
+/* Given an affine expression aff, return an affine expression
+ * for aff % d, with d the next token on the stream, which is
+ * assumed to be a constant.
+ *
+ * We introduce an integer division q = [aff/d] and the result
+ * is set to aff - d q.
+ */
+static __isl_give isl_pw_aff *affine_mod(struct isl_stream *s,
+       struct vars *v, __isl_take isl_pw_aff *aff)
+{
+       struct isl_token *tok;
+       isl_pw_aff *q;
+
+       tok = next_token(s);
+       if (!tok || tok->type != ISL_TOKEN_VALUE) {
+               isl_stream_error(s, tok, "expecting constant value");
+               goto error;
+       }
+
+       q = isl_pw_aff_copy(aff);
+       q = isl_pw_aff_scale_down(q, tok->u.v);
+       q = isl_pw_aff_floor(q);
+       q = isl_pw_aff_scale(q, tok->u.v);
+
+       aff = isl_pw_aff_sub(aff, q);
+
+       isl_token_free(tok);
+       return aff;
+error:
+       isl_pw_aff_free(aff);
+       isl_token_free(tok);
+       return NULL;
+}
+
+static __isl_give isl_pw_aff *accept_affine(struct isl_stream *s,
+       __isl_take isl_space *dim, struct vars *v);
+static __isl_give isl_pw_aff_list *accept_affine_list(struct isl_stream *s,
+       __isl_take isl_space *dim, struct vars *v);
 
-static __isl_give isl_vec *accept_affine_factor(struct isl_stream *s,
-       struct vars *v)
+static __isl_give isl_pw_aff *accept_minmax(struct isl_stream *s,
+       __isl_take isl_space *dim, struct vars *v)
 {
-       struct isl_token *tok = NULL;
-       isl_vec *aff = NULL;
+       struct isl_token *tok;
+       isl_pw_aff_list *list = NULL;
+       int min;
 
        tok = isl_stream_next_token(s);
+       if (!tok)
+               goto error;
+       min = tok->type == ISL_TOKEN_MIN;
+       isl_token_free(tok);
+
+       if (isl_stream_eat(s, '('))
+               goto error;
+
+       list = accept_affine_list(s, isl_space_copy(dim), v);
+       if (!list)
+               goto error;
+
+       if (isl_stream_eat(s, ')'))
+               goto error;
+
+       isl_space_free(dim);
+       return min ? isl_pw_aff_list_min(list) : isl_pw_aff_list_max(list);
+error:
+       isl_space_free(dim);
+       isl_pw_aff_list_free(list);
+       return NULL;
+}
+
+static __isl_give isl_pw_aff *accept_div(struct isl_stream *s,
+       __isl_take isl_space *dim, struct vars *v)
+{
+       struct isl_token *tok;
+       int seen_paren = 0;
+       int f = 0;
+       int c = 0;
+       isl_pw_aff *pwaff = NULL;
+
+       if (isl_stream_eat_if_available(s, ISL_TOKEN_FLOORD))
+               f = 1;
+       else if (isl_stream_eat_if_available(s, ISL_TOKEN_CEILD))
+               c = 1;
+       if (f || c) {
+               if (isl_stream_eat(s, '('))
+                       goto error;
+       } else {
+               if (isl_stream_eat(s, '['))
+                       goto error;
+               if (isl_stream_eat_if_available(s, '('))
+                       seen_paren = 1;
+       }
+
+       pwaff = accept_affine(s, isl_space_copy(dim), v);
+
+       if (f || c) {
+               if (isl_stream_eat(s, ','))
+                       goto error;
+       } else {
+               if (seen_paren && isl_stream_eat(s, ')'))
+                       goto error;
+               if (isl_stream_eat(s, '/'))
+                       goto error;
+       }
+
+       tok = next_token(s);
+       if (!tok)
+               goto error;
+       if (tok->type != ISL_TOKEN_VALUE) {
+               isl_stream_error(s, tok, "expected denominator");
+               isl_stream_push_token(s, tok);
+               goto error;
+       }
+       isl_pw_aff_scale_down(pwaff,  tok->u.v);
+       isl_token_free(tok);
+
+       if (c)
+               pwaff = isl_pw_aff_ceil(pwaff);
+       else
+               pwaff = isl_pw_aff_floor(pwaff);
+
+       if (f || c) {
+               if (isl_stream_eat(s, ')'))
+                       goto error;
+       } else {
+               if (isl_stream_eat(s, ']'))
+                       goto error;
+       }
+
+       isl_space_free(dim);
+       return pwaff;
+error:
+       isl_space_free(dim);
+       isl_pw_aff_free(pwaff);
+       return NULL;
+}
+
+static __isl_give isl_pw_aff *accept_affine_factor(struct isl_stream *s,
+       __isl_take isl_space *dim, struct vars *v)
+{
+       struct isl_token *tok = NULL;
+       isl_pw_aff *res = NULL;
+
+       tok = next_token(s);
        if (!tok) {
                isl_stream_error(s, NULL, "unexpected EOF");
                goto error;
        }
-       if (tok->type == ISL_TOKEN_IDENT) {
+
+       if (tok->type == ISL_TOKEN_AFF) {
+               res = isl_pw_aff_copy(tok->u.pwaff);
+               isl_token_free(tok);
+       } else if (tok->type == ISL_TOKEN_IDENT) {
                int n = v->n;
                int pos = vars_pos(v, tok->u.s, -1);
+               isl_aff *aff;
+
                if (pos < 0)
                        goto error;
                if (pos >= n) {
@@ -207,80 +374,99 @@ static __isl_give isl_vec *accept_affine_factor(struct isl_stream *s,
                        goto error;
                }
 
-               aff = isl_vec_alloc(v->ctx, 1 + v->n);
+               aff = isl_aff_zero(isl_local_space_from_space(isl_space_copy(dim)));
                if (!aff)
                        goto error;
-               isl_seq_clr(aff->el, aff->size);
-               isl_int_set_si(aff->el[1 + pos], 1);
+               isl_int_set_si(aff->v->el[2 + pos], 1);
+               res = isl_pw_aff_from_aff(aff);
                isl_token_free(tok);
        } else if (tok->type == ISL_TOKEN_VALUE) {
                if (isl_stream_eat_if_available(s, '*')) {
-                       aff = accept_affine_factor(s, v);
-                       aff = isl_vec_scale(aff, tok->u.v);
+                       res = accept_affine_factor(s, isl_space_copy(dim), v);
+                       res = isl_pw_aff_scale(res, tok->u.v);
                } else {
-                       aff = isl_vec_alloc(v->ctx, 1 + v->n);
-                       if (!aff)
-                               goto error;
-                       isl_seq_clr(aff->el, aff->size);
-                       isl_int_set(aff->el[0], tok->u.v);
+                       isl_local_space *ls;
+                       isl_aff *aff;
+                       ls = isl_local_space_from_space(isl_space_copy(dim));
+                       aff = isl_aff_zero(ls);
+                       aff = isl_aff_add_constant(aff, tok->u.v);
+                       res = isl_pw_aff_from_aff(aff);
                }
                isl_token_free(tok);
        } else if (tok->type == '(') {
                isl_token_free(tok);
                tok = NULL;
-               aff = accept_affine(s, v);
-               if (!aff)
+               res = accept_affine(s, isl_space_copy(dim), v);
+               if (!res)
                        goto error;
                if (isl_stream_eat(s, ')'))
                        goto error;
-       } else if (tok->type == '[') {
-               if (vars_add_anon(v) < 0)
-                       goto error;
-               aff = isl_vec_alloc(v->ctx, 1 + v->n);
-               if (!aff)
-                       goto error;
-               isl_seq_clr(aff->el, aff->size);
-               isl_int_set_si(aff->el[1 + v->n - 1], 1);
+       } else if (tok->type == '[' ||
+                   tok->type == ISL_TOKEN_FLOORD ||
+                   tok->type == ISL_TOKEN_CEILD) {
                isl_stream_push_token(s, tok);
                tok = NULL;
-               if (read_div_definition(s, v) < 0)
-                       goto error;
+               res = accept_div(s, isl_space_copy(dim), v);
+       } else if (tok->type == ISL_TOKEN_MIN || tok->type == ISL_TOKEN_MAX) {
+               isl_stream_push_token(s, tok);
+               tok = NULL;
+               res = accept_minmax(s, isl_space_copy(dim), v);
        } else {
                isl_stream_error(s, tok, "expecting factor");
                goto error;
        }
+       if (isl_stream_eat_if_available(s, '%') ||
+           isl_stream_eat_if_available(s, ISL_TOKEN_MOD)) {
+               isl_space_free(dim);
+               return affine_mod(s, v, res);
+       }
        if (isl_stream_eat_if_available(s, '*')) {
                isl_int f;
                isl_int_init(f);
                isl_int_set_si(f, 1);
                if (accept_cst_factor(s, &f) < 0) {
                        isl_int_clear(f);
-                       goto error;
+                       goto error2;
                }
-               aff = isl_vec_scale(aff, f);
+               res = isl_pw_aff_scale(res, f);
                isl_int_clear(f);
        }
 
-       return aff;
+       isl_space_free(dim);
+       return res;
 error:
        isl_token_free(tok);
-       isl_vec_free(aff);
+error2:
+       isl_pw_aff_free(res);
+       isl_space_free(dim);
        return NULL;
 }
 
-static struct isl_vec *accept_affine(struct isl_stream *s, struct vars *v)
+static __isl_give isl_pw_aff *add_cst(__isl_take isl_pw_aff *pwaff, isl_int v)
+{
+       isl_aff *aff;
+
+       aff = isl_aff_zero(isl_local_space_from_space(isl_pw_aff_get_space(pwaff)));
+       aff = isl_aff_add_constant(aff, v);
+
+       return isl_pw_aff_add(pwaff, isl_pw_aff_from_aff(aff));
+}
+
+static __isl_give isl_pw_aff *accept_affine(struct isl_stream *s,
+       __isl_take isl_space *dim, struct vars *v)
 {
        struct isl_token *tok = NULL;
-       struct isl_vec *aff;
+       isl_local_space *ls;
+       isl_pw_aff *res;
        int sign = 1;
 
-       aff = isl_vec_alloc(v->ctx, 1 + v->n);
-       if (!aff)
-               return NULL;
-       isl_seq_clr(aff->el, aff->size);
+       ls = isl_local_space_from_space(isl_space_copy(dim));
+       res = isl_pw_aff_from_aff(isl_aff_zero(ls));
+       if (!res)
+               goto error;
 
        for (;;) {
-               tok = isl_stream_next_token(s);
+               tok = next_token(s);
                if (!tok) {
                        isl_stream_error(s, NULL, "unexpected EOF");
                        goto error;
@@ -291,16 +477,20 @@ static struct isl_vec *accept_affine(struct isl_stream *s, struct vars *v)
                        continue;
                }
                if (tok->type == '(' || tok->type == '[' ||
-                   tok->type == ISL_TOKEN_IDENT) {
-                       isl_vec *aff2;
+                   tok->type == ISL_TOKEN_MIN || tok->type == ISL_TOKEN_MAX ||
+                   tok->type == ISL_TOKEN_FLOORD ||
+                   tok->type == ISL_TOKEN_CEILD ||
+                   tok->type == ISL_TOKEN_IDENT ||
+                   tok->type == ISL_TOKEN_AFF) {
+                       isl_pw_aff *term;
                        isl_stream_push_token(s, tok);
                        tok = NULL;
-                       aff2 = accept_affine_factor(s, v);
+                       term = accept_affine_factor(s, isl_space_copy(dim), v);
                        if (sign < 0)
-                               aff2 = isl_vec_scale(aff2, s->ctx->negone);
-                       aff = isl_vec_zero_extend(aff, 1 + v->n);
-                       aff = isl_vec_add(aff, aff2);
-                       if (!aff)
+                               res = isl_pw_aff_sub(res, term);
+                       else
+                               res = isl_pw_aff_add(res, term);
+                       if (!res)
                                goto error;
                        sign = 1;
                } else if (tok->type == ISL_TOKEN_VALUE) {
@@ -308,26 +498,27 @@ static struct isl_vec *accept_affine(struct isl_stream *s, struct vars *v)
                                isl_int_neg(tok->u.v, tok->u.v);
                        if (isl_stream_eat_if_available(s, '*') ||
                            isl_stream_next_token_is(s, ISL_TOKEN_IDENT)) {
-                               isl_vec *aff2;
-                               aff2 = accept_affine_factor(s, v);
-                               aff2 = isl_vec_scale(aff2, tok->u.v);
-                               aff = isl_vec_zero_extend(aff, 1 + v->n);
-                               aff = isl_vec_add(aff, aff2);
-                               if (!aff)
+                               isl_pw_aff *term;
+                               term = accept_affine_factor(s,
+                                                       isl_space_copy(dim), v);
+                               term = isl_pw_aff_scale(term, tok->u.v);
+                               res = isl_pw_aff_add(res, term);
+                               if (!res)
                                        goto error;
                        } else {
-                               isl_int_add(aff->el[0], aff->el[0], tok->u.v);
+                               res = add_cst(res, tok->u.v);
                        }
                        sign = 1;
                } else {
                        isl_stream_error(s, tok, "unexpected isl_token");
                        isl_stream_push_token(s, tok);
-                       isl_vec_free(aff);
+                       isl_pw_aff_free(res);
+                       isl_space_free(dim);
                        return NULL;
                }
                isl_token_free(tok);
 
-               tok = isl_stream_next_token(s);
+               tok = next_token(s);
                if (tok && tok->type == '-') {
                        sign = -sign;
                        isl_token_free(tok);
@@ -344,101 +535,159 @@ static struct isl_vec *accept_affine(struct isl_stream *s, struct vars *v)
                }
        }
 
-       return aff;
+       isl_space_free(dim);
+       return res;
 error:
+       isl_space_free(dim);
        isl_token_free(tok);
-       isl_vec_free(aff);
+       isl_pw_aff_free(res);
        return NULL;
 }
 
-/* Add any variables in the variable list "v" that are not already in "bmap"
- * as existentially quantified variables in "bmap".
- */
-static __isl_give isl_basic_map *add_divs(__isl_take isl_basic_map *bmap,
-       struct vars *v)
+static int is_comparator(struct isl_token *tok)
 {
-       int i;
-       int extra;
-       struct variable *var;
+       if (!tok)
+               return 0;
+
+       switch (tok->type) {
+       case ISL_TOKEN_LT:
+       case ISL_TOKEN_GT:
+       case ISL_TOKEN_LE:
+       case ISL_TOKEN_GE:
+       case ISL_TOKEN_NE:
+       case '=':
+               return 1;
+       default:
+               return 0;
+       }
+}
 
-       extra = v->n - isl_basic_map_total_dim(bmap);
+static struct isl_map *read_disjuncts(struct isl_stream *s,
+       struct vars *v, __isl_take isl_map *map);
+static __isl_give isl_pw_aff *accept_extended_affine(struct isl_stream *s,
+       __isl_take isl_space *dim, struct vars *v);
 
-       if (extra == 0)
-               return bmap;
+/* Accept a ternary operator, given the first argument.
+ */
+static __isl_give isl_pw_aff *accept_ternary(struct isl_stream *s,
+       __isl_take isl_map *cond, struct vars *v)
+{
+       isl_space *dim;
+       isl_pw_aff *pwaff1 = NULL, *pwaff2 = NULL;
 
-       bmap = isl_basic_map_extend_dim(bmap, isl_basic_map_get_dim(bmap),
-                                       extra, 0, 2 * extra);
+       if (!cond)
+               return NULL;
 
-       for (i = 0; i < extra; ++i)
-               if (isl_basic_map_alloc_div(bmap) < 0)
-                       goto error;
+       if (isl_stream_eat(s, '?'))
+               goto error;
 
-       for (i = 0, var = v->v; i < extra; ++i, var = var->next) {
-               int k = bmap->n_div - 1 - i;
+       dim = isl_space_wrap(isl_map_get_space(cond));
+       pwaff1 = accept_extended_affine(s, dim, v);
+       if (!pwaff1)
+               goto error;
 
-               isl_seq_cpy(bmap->div[k], var->def->el, var->def->size);
-               isl_seq_clr(bmap->div[k] + var->def->size,
-                           2 + v->n - var->def->size);
+       if (isl_stream_eat(s, ':'))
+               goto error;
 
-               if (isl_basic_map_add_div_constraints(bmap, k) < 0)
-                       goto error;
-       }
+       pwaff2 = accept_extended_affine(s, isl_pw_aff_get_space(pwaff1), v);
+       if (!pwaff1)
+               goto error;
 
-       return bmap;
+       return isl_pw_aff_cond(isl_map_wrap(cond), pwaff1, pwaff2);
 error:
-       isl_basic_map_free(bmap);
+       isl_map_free(cond);
+       isl_pw_aff_free(pwaff1);
+       isl_pw_aff_free(pwaff2);
        return NULL;
 }
 
-static __isl_give isl_basic_map *read_var_def(struct isl_stream *s,
-       __isl_take isl_basic_map *bmap, enum isl_dim_type type, struct vars *v)
+/* Accept an affine expression that may involve ternary operators.
+ * We first read an affine expression.
+ * If it is not followed by a comparison operator, we simply return it.
+ * Otherwise, we assume the affine epxression is part of the first
+ * argument of a ternary operator and try to parse that.
+ */
+static __isl_give isl_pw_aff *accept_extended_affine(struct isl_stream *s,
+       __isl_take isl_space *dim, struct vars *v)
 {
-       isl_dim *dim;
-       isl_basic_map *def = NULL;
-       struct isl_vec *vec;
-       int k;
-       int n;
+       isl_map *cond;
+       isl_pw_aff *pwaff;
+       struct isl_token *tok;
+       int line = -1, col = -1;
+       int is_comp;
 
-       if (vars_add_anon(v) < 0)
-               goto error;
-       n = v->n;
+       tok = isl_stream_next_token(s);
+       if (tok) {
+               line = tok->line;
+               col = tok->col;
+               isl_stream_push_token(s, tok);
+       }
 
-       vec = accept_affine(s, v);
-       if (!vec)
-               goto error;
+       pwaff = accept_affine(s, dim, v);
+       if (!pwaff)
+               return NULL;
+
+       tok = isl_stream_next_token(s);
+       if (!tok)
+               return isl_pw_aff_free(pwaff);
+
+       is_comp = is_comparator(tok);
+       isl_stream_push_token(s, tok);
+       if (!is_comp)
+               return pwaff;
+
+       tok = isl_token_new(s->ctx, line, col, 0);
+       if (!tok)
+               return isl_pw_aff_free(pwaff);
+       tok->type = ISL_TOKEN_AFF;
+       tok->u.pwaff = pwaff;
+
+       cond = isl_map_universe(isl_space_unwrap(isl_pw_aff_get_space(pwaff)));
+
+       isl_stream_push_token(s, tok);
 
-       dim = isl_basic_map_get_dim(bmap);
-       def = isl_basic_map_universe(dim);
-       def = add_divs(def, v);
-       def = isl_basic_map_extend_constraints(def, 1, 0);
-       k = isl_basic_map_alloc_equality(def);
-       if (k >= 0) {
-               isl_seq_cpy(def->eq[k], vec->el, vec->size);
-               isl_int_set_si(def->eq[k][1 + n - 1], -1);
+       cond = read_disjuncts(s, v, cond);
+
+       return accept_ternary(s, cond, v);
+}
+
+static __isl_give isl_map *read_var_def(struct isl_stream *s,
+       __isl_take isl_map *map, enum isl_dim_type type, struct vars *v)
+{
+       isl_pw_aff *def;
+       int pos;
+       isl_map *def_map;
+
+       if (type == isl_dim_param)
+               pos = isl_map_dim(map, isl_dim_param);
+       else {
+               pos = isl_map_dim(map, isl_dim_in);
+               if (type == isl_dim_out)
+                       pos += isl_map_dim(map, isl_dim_out);
+               type = isl_dim_in;
        }
-       isl_vec_free(vec);
-       if (k < 0)
-               goto error;
+       --pos;
 
-       vars_drop(v, v->n - n);
+       def = accept_extended_affine(s, isl_space_wrap(isl_map_get_space(map)), v);
+       def_map = isl_map_from_pw_aff(def);
+       def_map = isl_map_equate(def_map, type, pos, isl_dim_out, 0);
+       def_map = isl_set_unwrap(isl_map_domain(def_map));
 
-       def = isl_basic_map_simplify(def);
-       def = isl_basic_map_finalize(def);
-       bmap = isl_basic_map_intersect(bmap, def);
-       return bmap;
-error:
-       isl_basic_map_free(bmap);
-       isl_basic_map_free(def);
-       return NULL;
+       map = isl_map_intersect(map, def_map);
+
+       return map;
 }
 
-static __isl_give isl_basic_map *read_var_list(struct isl_stream *s,
-       __isl_take isl_basic_map *bmap, enum isl_dim_type type, struct vars *v)
+static __isl_give isl_map *read_var_list(struct isl_stream *s,
+       __isl_take isl_map *map, enum isl_dim_type type, struct vars *v)
 {
        int i = 0;
        struct isl_token *tok;
 
-       while ((tok = isl_stream_next_token(s)) != NULL) {
+       if (isl_stream_next_token_is(s, ']'))
+               return map;
+
+       while ((tok = next_token(s)) != NULL) {
                int new_name = 0;
 
                if (tok->type == ISL_TOKEN_IDENT) {
@@ -450,13 +699,12 @@ static __isl_give isl_basic_map *read_var_list(struct isl_stream *s,
                }
 
                if (new_name) {
-                       bmap = isl_basic_map_add(bmap, type, 1);
-                       bmap = set_name(bmap, type, i, v->v->name);
+                       map = isl_map_add_dims(map, type, 1);
+                       map = set_name(map, type, i, v->v->name);
                        isl_token_free(tok);
-               } else if (tok->type == ISL_TOKEN_IDENT ||
-                          tok->type == ISL_TOKEN_VALUE ||
-                          tok->type == '-' ||
-                          tok->type == '(') {
+                       if (isl_stream_eat_if_available(s, '='))
+                               map = read_var_def(s, map, type, v);
+               } else {
                        if (type == isl_dim_param) {
                                isl_stream_error(s, tok,
                                                "expecting unique identifier");
@@ -464,13 +712,18 @@ static __isl_give isl_basic_map *read_var_list(struct isl_stream *s,
                        }
                        isl_stream_push_token(s, tok);
                        tok = NULL;
-                       bmap = isl_basic_map_add(bmap, type, 1);
-                       bmap = read_var_def(s, bmap, type, v);
-               } else
-                       break;
+                       if (vars_add_anon(v) < 0)
+                               goto error;
+                       map = isl_map_add_dims(map, type, 1);
+                       map = read_var_def(s, map, type, v);
+               }
 
                tok = isl_stream_next_token(s);
-               if (!tok || tok->type != ',')
+               if (tok && tok->type == ']' &&
+                   isl_stream_next_token_is(s, '[')) {
+                       isl_token_free(tok);
+                       tok = isl_stream_next_token(s);
+               } else if (!tok || tok->type != ',')
                        break;
 
                isl_token_free(tok);
@@ -479,24 +732,24 @@ static __isl_give isl_basic_map *read_var_list(struct isl_stream *s,
        if (tok)
                isl_stream_push_token(s, tok);
 
-       return bmap;
+       return map;
 error:
        isl_token_free(tok);
-       isl_basic_map_free(bmap);
+       isl_map_free(map);
        return NULL;
 }
 
-static __isl_give isl_mat *accept_affine_list(struct isl_stream *s,
-       struct vars *v)
+static __isl_give isl_pw_aff_list *accept_affine_list(struct isl_stream *s,
+       __isl_take isl_space *dim, struct vars *v)
 {
-       struct isl_vec *vec;
-       struct isl_mat *mat;
+       isl_pw_aff *pwaff;
+       isl_pw_aff_list *list;
        struct isl_token *tok = NULL;
 
-       vec = accept_affine(s, v);
-       mat = isl_mat_from_row_vec(vec);
-       if (!mat)
-               return NULL;
+       pwaff = accept_affine(s, isl_space_copy(dim), v);
+       list = isl_pw_aff_list_from_pw_aff(pwaff);
+       if (!list)
+               goto error;
 
        for (;;) {
                tok = isl_stream_next_token(s);
@@ -510,105 +763,29 @@ static __isl_give isl_mat *accept_affine_list(struct isl_stream *s,
                }
                isl_token_free(tok);
 
-               vec = accept_affine(s, v);
-               mat = isl_mat_add_zero_cols(mat, 1 + v->n - isl_mat_cols(mat));
-               mat = isl_mat_vec_concat(mat, vec);
-               if (!mat)
+               pwaff = accept_affine(s, isl_space_copy(dim), v);
+               list = isl_pw_aff_list_concat(list,
+                               isl_pw_aff_list_from_pw_aff(pwaff));
+               if (!list)
                        return NULL;
        }
 
-       return mat;
-error:
-       isl_mat_free(mat);
-       return NULL;
-}
-
-static int read_div_definition(struct isl_stream *s, struct vars *v)
-{
-       struct isl_token *tok;
-       int seen_paren = 0;
-       struct isl_vec *aff;
-       struct variable *var;
-
-       if (isl_stream_eat(s, '['))
-               return -1;
-
-       tok = isl_stream_next_token(s);
-       if (!tok)
-               return -1;
-       if (tok->type == '(') {
-               seen_paren = 1;
-               isl_token_free(tok);
-       } else
-               isl_stream_push_token(s, tok);
-
-       var = v->v;
-
-       aff = accept_affine(s, v);
-       if (!aff)
-               return -1;
-
-       var->def = isl_vec_alloc(s->ctx, 2 + v->n);
-       if (!var->def) {
-               isl_vec_free(aff);
-               return -1;
-       }
-
-       isl_seq_cpy(var->def->el + 1, aff->el, aff->size);
-
-       isl_vec_free(aff);
-
-       if (seen_paren && isl_stream_eat(s, ')'))
-               return -1;
-       if (isl_stream_eat(s, '/'))
-               return -1;
-
-       tok = isl_stream_next_token(s);
-       if (!tok)
-               return -1;
-       if (tok->type != ISL_TOKEN_VALUE) {
-               isl_stream_error(s, tok, "expected denominator");
-               isl_stream_push_token(s, tok);
-               return -1;
-       }
-       isl_int_set(var->def->el[0], tok->u.v);
-       isl_token_free(tok);
-
-       if (isl_stream_eat(s, ']'))
-               return -1;
-
-       return 0;
-}
-
-static struct isl_basic_map *add_div_definition(struct isl_stream *s,
-       struct vars *v, struct isl_basic_map *bmap, int k)
-{
-       struct variable *var = v->v;
-
-       if (read_div_definition(s, v) < 0)
-               goto error;
-
-       isl_seq_cpy(bmap->div[k], var->def->el, 2 + v->n);
-
-       if (isl_basic_map_add_div_constraints(bmap, k) < 0)
-               goto error;
-
-       return bmap;
+       isl_space_free(dim);
+       return list;
 error:
-       isl_basic_map_free(bmap);
+       isl_space_free(dim);
+       isl_pw_aff_list_free(list);
        return NULL;
 }
 
-static struct isl_basic_map *read_defined_var_list(struct isl_stream *s,
-       struct vars *v, struct isl_basic_map *bmap)
+static __isl_give isl_map *read_defined_var_list(struct isl_stream *s,
+       struct vars *v, __isl_take isl_map *map)
 {
        struct isl_token *tok;
 
        while ((tok = isl_stream_next_token(s)) != NULL) {
-               int k;
                int p;
                int n = v->n;
-               unsigned total = isl_basic_map_total_dim(bmap);
 
                if (tok->type != ISL_TOKEN_IDENT)
                        break;
@@ -621,19 +798,13 @@ static struct isl_basic_map *read_defined_var_list(struct isl_stream *s,
                        goto error;
                }
 
-               bmap = isl_basic_map_cow(bmap);
-               bmap = isl_basic_map_extend_dim(bmap, isl_dim_copy(bmap->dim),
-                                               1, 0, 2);
-
-               if ((k = isl_basic_map_alloc_div(bmap)) < 0)
-                       goto error;
-               isl_seq_clr(bmap->div[k], 1 + 1 + total);
+               map = isl_map_add_dims(map, isl_dim_out, 1);
 
                isl_token_free(tok);
                tok = isl_stream_next_token(s);
                if (tok && tok->type == '=') {
                        isl_token_free(tok);
-                       bmap = add_div_definition(s, v, bmap, k);
+                       map = read_var_def(s, map, isl_dim_out, v);
                        tok = isl_stream_next_token(s);
                }
 
@@ -645,10 +816,10 @@ static struct isl_basic_map *read_defined_var_list(struct isl_stream *s,
        if (tok)
                isl_stream_push_token(s, tok);
 
-       return bmap;
+       return map;
 error:
        isl_token_free(tok);
-       isl_basic_map_free(bmap);
+       isl_map_free(map);
        return NULL;
 }
 
@@ -664,7 +835,7 @@ static int next_is_tuple(struct isl_stream *s)
                isl_stream_push_token(s, tok);
                return 1;
        }
-       if (tok->type != ISL_TOKEN_IDENT) {
+       if (tok->type != ISL_TOKEN_IDENT && !tok->is_keyword) {
                isl_stream_push_token(s, tok);
                return 0;
        }
@@ -676,31 +847,31 @@ static int next_is_tuple(struct isl_stream *s)
        return is_tuple;
 }
 
-static __isl_give isl_basic_map *read_tuple(struct isl_stream *s,
-       __isl_take isl_basic_map *bmap, enum isl_dim_type type, struct vars *v);
+static __isl_give isl_map *read_tuple(struct isl_stream *s,
+       __isl_take isl_map *map, enum isl_dim_type type, struct vars *v);
 
-static __isl_give isl_basic_map *read_nested_tuple(struct isl_stream *s,
-       __isl_take isl_basic_map *bmap, struct vars *v)
+static __isl_give isl_map *read_nested_tuple(struct isl_stream *s,
+       __isl_take isl_map *map, struct vars *v)
 {
-       bmap = read_tuple(s, bmap, isl_dim_in, v);
+       map = read_tuple(s, map, isl_dim_in, v);
        if (isl_stream_eat(s, ISL_TOKEN_TO))
                goto error;
-       bmap = read_tuple(s, bmap, isl_dim_out, v);
-       bmap = isl_basic_map_from_range(isl_basic_map_wrap(bmap));
-       return bmap;
+       map = read_tuple(s, map, isl_dim_out, v);
+       map = isl_map_from_range(isl_map_wrap(map));
+       return map;
 error:
-       isl_basic_map_free(bmap);
+       isl_map_free(map);
        return NULL;
 }
 
-static __isl_give isl_basic_map *read_tuple(struct isl_stream *s,
-       __isl_take isl_basic_map *bmap, enum isl_dim_type type, struct vars *v)
+static __isl_give isl_map *read_tuple(struct isl_stream *s,
+       __isl_take isl_map *map, enum isl_dim_type type, struct vars *v)
 {
        struct isl_token *tok;
        char *name = NULL;
 
        tok = isl_stream_next_token(s);
-       if (tok && tok->type == ISL_TOKEN_IDENT) {
+       if (tok && (tok->type == ISL_TOKEN_IDENT || tok->is_keyword)) {
                name = strdup(tok->u.s);
                if (!name)
                        goto error;
@@ -713,29 +884,29 @@ static __isl_give isl_basic_map *read_tuple(struct isl_stream *s,
        }
        isl_token_free(tok);
        if (type != isl_dim_param && next_is_tuple(s)) {
-               isl_dim *dim = isl_basic_map_get_dim(bmap);
-               int nparam = isl_dim_size(dim, isl_dim_param);
-               int n_in = isl_dim_size(dim, isl_dim_in);
-               isl_basic_map *nested;
+               isl_space *dim = isl_map_get_space(map);
+               int nparam = isl_space_dim(dim, isl_dim_param);
+               int n_in = isl_space_dim(dim, isl_dim_in);
+               isl_map *nested;
                if (type == isl_dim_out)
-                       dim = isl_dim_move(dim, isl_dim_param, nparam,
+                       dim = isl_space_move_dims(dim, isl_dim_param, nparam,
                                                isl_dim_in, 0, n_in);
-               nested = isl_basic_map_alloc_dim(dim, 0, 0, 0);
+               nested = isl_map_universe(dim);
                nested = read_nested_tuple(s, nested, v);
                if (type == isl_dim_in) {
-                       nested = isl_basic_map_reverse(nested);
-                       bmap = isl_basic_map_intersect(nested, bmap);
+                       nested = isl_map_reverse(nested);
+                       map = isl_map_intersect(nested, map);
                } else {
-                       isl_basic_set *bset;
-                       dim = isl_dim_range(isl_basic_map_get_dim(nested));
-                       dim = isl_dim_drop(dim, isl_dim_param, nparam, n_in);
-                       dim = isl_dim_join(isl_basic_map_get_dim(bmap), dim);
-                       bset = isl_basic_map_domain(bmap);
-                       nested = isl_basic_map_reset_dim(nested, dim);
-                       bmap = isl_basic_map_intersect_domain(nested, bset);
+                       isl_set *set;
+                       dim = isl_space_range(isl_map_get_space(nested));
+                       dim = isl_space_drop_dims(dim, isl_dim_param, nparam, n_in);
+                       dim = isl_space_join(isl_map_get_space(map), dim);
+                       set = isl_map_domain(map);
+                       nested = isl_map_reset_space(nested, dim);
+                       map = isl_map_intersect_domain(nested, set);
                }
        } else
-               bmap = read_var_list(s, bmap, type, v);
+               map = read_var_list(s, map, type, v);
        tok = isl_stream_next_token(s);
        if (!tok || tok->type != ']') {
                isl_stream_error(s, tok, "expecting ']'");
@@ -744,288 +915,283 @@ static __isl_give isl_basic_map *read_tuple(struct isl_stream *s,
        isl_token_free(tok);
 
        if (name) {
-               bmap = isl_basic_map_set_tuple_name(bmap, type, name);
+               map = isl_map_set_tuple_name(map, type, name);
                free(name);
        }
 
-       return bmap;
+       return map;
 error:
        if (tok)
                isl_token_free(tok);
-       isl_basic_map_free(bmap);
+       isl_map_free(map);
        return NULL;
 }
 
-static struct isl_basic_map *add_constraints(struct isl_stream *s,
-       struct vars *v, struct isl_basic_map *bmap);
+static __isl_give isl_set *construct_constraints(
+       __isl_take isl_set *set, enum isl_token_type type,
+       __isl_keep isl_pw_aff_list *left, __isl_keep isl_pw_aff_list *right)
+{
+       isl_set *cond;
 
-static struct isl_basic_map *add_exists(struct isl_stream *s,
-       struct vars *v, struct isl_basic_map *bmap)
+       if (type == ISL_TOKEN_LE)
+               cond = isl_pw_aff_list_le_set(isl_pw_aff_list_copy(left),
+                                             isl_pw_aff_list_copy(right));
+       else if (type == ISL_TOKEN_GE)
+               cond = isl_pw_aff_list_ge_set(isl_pw_aff_list_copy(left),
+                                             isl_pw_aff_list_copy(right));
+       else if (type == ISL_TOKEN_LT)
+               cond = isl_pw_aff_list_lt_set(isl_pw_aff_list_copy(left),
+                                             isl_pw_aff_list_copy(right));
+       else if (type == ISL_TOKEN_GT)
+               cond = isl_pw_aff_list_gt_set(isl_pw_aff_list_copy(left),
+                                             isl_pw_aff_list_copy(right));
+       else if (type == ISL_TOKEN_NE)
+               cond = isl_pw_aff_list_ne_set(isl_pw_aff_list_copy(left),
+                                             isl_pw_aff_list_copy(right));
+       else
+               cond = isl_pw_aff_list_eq_set(isl_pw_aff_list_copy(left),
+                                             isl_pw_aff_list_copy(right));
+
+       return isl_set_intersect(set, cond);
+}
+
+static __isl_give isl_map *add_constraint(struct isl_stream *s,
+       struct vars *v, __isl_take isl_map *map)
 {
-       struct isl_token *tok;
-       int n = v->n;
-       int extra;
-       int seen_paren = 0;
-       int i;
-       unsigned total;
+       struct isl_token *tok = NULL;
+       isl_pw_aff_list *list1 = NULL, *list2 = NULL;
+       isl_set *set;
 
+       set = isl_map_wrap(map);
+       list1 = accept_affine_list(s, isl_set_get_space(set), v);
+       if (!list1)
+               goto error;
        tok = isl_stream_next_token(s);
-       if (!tok)
+       if (!is_comparator(tok)) {
+               isl_stream_error(s, tok, "missing operator");
+               if (tok)
+                       isl_stream_push_token(s, tok);
+               tok = NULL;
                goto error;
-       if (tok->type == '(') {
-               seen_paren = 1;
+       }
+       for (;;) {
+               list2 = accept_affine_list(s, isl_set_get_space(set), v);
+               if (!list2)
+                       goto error;
+
+               set = construct_constraints(set, tok->type, list1, list2);
                isl_token_free(tok);
-       } else
-               isl_stream_push_token(s, tok);
+               isl_pw_aff_list_free(list1);
+               list1 = list2;
 
-       bmap = read_defined_var_list(s, v, bmap);
-       if (!bmap)
-               goto error;
+               tok = isl_stream_next_token(s);
+               if (!is_comparator(tok)) {
+                       if (tok)
+                               isl_stream_push_token(s, tok);
+                       break;
+               }
+       }
+       isl_pw_aff_list_free(list1);
 
-       if (isl_stream_eat(s, ':'))
-               goto error;
-       bmap = add_constraints(s, v, bmap);
-       if (seen_paren && isl_stream_eat(s, ')'))
-               goto error;
-       return bmap;
+       return isl_set_unwrap(set);
 error:
-       isl_basic_map_free(bmap);
+       if (tok)
+               isl_token_free(tok);
+       isl_pw_aff_list_free(list1);
+       isl_pw_aff_list_free(list2);
+       isl_set_free(set);
        return NULL;
 }
 
-static __isl_give isl_basic_map *construct_constraint(
-       __isl_take isl_basic_map *bmap, enum isl_token_type type,
-       isl_int *left, isl_int *right)
+static __isl_give isl_map *read_exists(struct isl_stream *s,
+       struct vars *v, __isl_take isl_map *map)
 {
-       int k;
-       unsigned len;
-       struct isl_ctx *ctx;
+       int n = v->n;
+       int seen_paren = isl_stream_eat_if_available(s, '(');
 
-       if (!bmap)
-               return NULL;
-       len = 1 + isl_basic_map_total_dim(bmap);
-       ctx = bmap->ctx;
+       map = isl_map_from_domain(isl_map_wrap(map));
+       map = read_defined_var_list(s, v, map);
 
-       k = isl_basic_map_alloc_inequality(bmap);
-       if (k < 0)
+       if (isl_stream_eat(s, ':'))
                goto error;
-       if (type == ISL_TOKEN_LE)
-               isl_seq_combine(bmap->ineq[k], ctx->negone, left,
-                                              ctx->one, right,
-                                              len);
-       else if (type == ISL_TOKEN_GE)
-               isl_seq_combine(bmap->ineq[k], ctx->one, left,
-                                              ctx->negone, right,
-                                              len);
-       else if (type == ISL_TOKEN_LT) {
-               isl_seq_combine(bmap->ineq[k], ctx->negone, left,
-                                              ctx->one, right,
-                                              len);
-               isl_int_sub_ui(bmap->ineq[k][0], bmap->ineq[k][0], 1);
-       } else if (type == ISL_TOKEN_GT) {
-               isl_seq_combine(bmap->ineq[k], ctx->one, left,
-                                              ctx->negone, right,
-                                              len);
-               isl_int_sub_ui(bmap->ineq[k][0], bmap->ineq[k][0], 1);
-       } else {
-               isl_seq_combine(bmap->ineq[k], ctx->one, left,
-                                              ctx->negone, right,
-                                              len);
-               isl_basic_map_inequality_to_equality(bmap, k);
-       }
 
-       return bmap;
-error:
-       isl_basic_map_free(bmap);
-       return NULL;
-}
+       map = read_disjuncts(s, v, map);
+       map = isl_set_unwrap(isl_map_domain(map));
 
-static int is_comparator(struct isl_token *tok)
-{
-       if (!tok)
-               return 0;
+       vars_drop(v, v->n - n);
+       if (seen_paren && isl_stream_eat(s, ')'))
+               goto error;
 
-       switch (tok->type) {
-       case ISL_TOKEN_LT:
-       case ISL_TOKEN_GT:
-       case ISL_TOKEN_LE:
-       case ISL_TOKEN_GE:
-       case '=':
-               return 1;
-       default:
-               return 0;
-       }
+       return map;
+error:
+       isl_map_free(map);
+       return NULL;
 }
 
-static struct isl_basic_map *add_constraint(struct isl_stream *s,
-       struct vars *v, struct isl_basic_map *bmap)
+/* Parse an expression between parentheses and push the result
+ * back on the stream.
+ *
+ * The parsed expression may be either an affine expression
+ * or a condition.  The first type is pushed onto the stream
+ * as an isl_pw_aff, while the second is pushed as an isl_map.
+ *
+ * If the initial token indicates the start of a condition,
+ * we parse it as such.
+ * Otherwise, we first parse an affine expression and push
+ * that onto the stream.  If the affine expression covers the
+ * entire expression between parentheses, we return.
+ * Otherwise, we assume that the affine expression is the
+ * start of a condition and continue parsing.
+ */
+static int resolve_paren_expr(struct isl_stream *s,
+       struct vars *v, __isl_take isl_map *map)
 {
-       int i, j;
-       struct isl_token *tok = NULL;
-       struct isl_mat *aff1 = NULL, *aff2 = NULL;
+       struct isl_token *tok, *tok2;
+       int line, col;
+       isl_pw_aff *pwaff;
 
        tok = isl_stream_next_token(s);
-       if (!tok)
+       if (!tok || tok->type != '(')
                goto error;
-       if (tok->type == ISL_TOKEN_EXISTS) {
-               isl_token_free(tok);
-               return add_exists(s, v, bmap);
-       }
-       isl_stream_push_token(s, tok);
-       tok = NULL;
 
-       bmap = isl_basic_map_cow(bmap);
+       if (isl_stream_next_token_is(s, ISL_TOKEN_EXISTS) ||
+           isl_stream_next_token_is(s, ISL_TOKEN_TRUE) ||
+           isl_stream_next_token_is(s, ISL_TOKEN_FALSE)) {
+               map = read_disjuncts(s, v, map);
+               if (isl_stream_eat(s, ')'))
+                       goto error;
+               tok->type = ISL_TOKEN_MAP;
+               tok->u.map = map;
+               isl_stream_push_token(s, tok);
+               return 0;
+       }
 
-       aff1 = accept_affine_list(s, v);
-       if (!aff1)
+       tok2 = isl_stream_next_token(s);
+       if (!tok2)
                goto error;
-       tok = isl_stream_next_token(s);
-       if (!is_comparator(tok)) {
-               isl_stream_error(s, tok, "missing operator");
-               if (tok)
-                       isl_stream_push_token(s, tok);
-               tok = NULL;
+       line = tok2->line;
+       col = tok2->col;
+       isl_stream_push_token(s, tok2);
+
+       pwaff = accept_affine(s, isl_space_wrap(isl_map_get_space(map)), v);
+       if (!pwaff)
                goto error;
-       }
-       for (;;) {
-               aff2 = accept_affine_list(s, v);
-               if (!aff2)
-                       goto error;
 
-               aff1 = isl_mat_add_zero_cols(aff1, aff2->n_col - aff1->n_col);
-               if (!aff1)
-                       goto error;
-               bmap = add_divs(bmap, v);
-               bmap = isl_basic_map_extend_constraints(bmap, 0,
-                                               aff1->n_row * aff2->n_row);
-               for (i = 0; i < aff1->n_row; ++i)
-                       for (j = 0; j < aff2->n_row; ++j)
-                               bmap = construct_constraint(bmap, tok->type,
-                                                   aff1->row[i], aff2->row[j]);
-               isl_token_free(tok);
-               isl_mat_free(aff1);
-               aff1 = aff2;
+       tok2 = isl_token_new(s->ctx, line, col, 0);
+       if (!tok2)
+               goto error2;
+       tok2->type = ISL_TOKEN_AFF;
+       tok2->u.pwaff = pwaff;
 
-               tok = isl_stream_next_token(s);
-               if (!is_comparator(tok)) {
-                       if (tok)
-                               isl_stream_push_token(s, tok);
-                       break;
-               }
+       if (isl_stream_eat_if_available(s, ')')) {
+               isl_stream_push_token(s, tok2);
+               isl_token_free(tok);
+               isl_map_free(map);
+               return 0;
        }
-       isl_mat_free(aff1);
 
-       return bmap;
+       isl_stream_push_token(s, tok2);
+
+       map = read_disjuncts(s, v, map);
+       if (isl_stream_eat(s, ')'))
+               goto error;
+
+       tok->type = ISL_TOKEN_MAP;
+       tok->u.map = map;
+       isl_stream_push_token(s, tok);
+
+       return 0;
+error2:
+       isl_pw_aff_free(pwaff);
 error:
-       if (tok)
-               isl_token_free(tok);
-       isl_mat_free(aff1);
-       isl_mat_free(aff2);
-       isl_basic_map_free(bmap);
-       return NULL;
+       isl_token_free(tok);
+       isl_map_free(map);
+       return -1;
 }
 
-static struct isl_basic_map *add_constraints(struct isl_stream *s,
-       struct vars *v, struct isl_basic_map *bmap)
+static __isl_give isl_map *read_conjunct(struct isl_stream *s,
+       struct vars *v, __isl_take isl_map *map)
 {
-       struct isl_token *tok;
+       if (isl_stream_next_token_is(s, '('))
+               if (resolve_paren_expr(s, v, isl_map_copy(map)))
+                       goto error;
 
-       for (;;) {
-               bmap = add_constraint(s, v, bmap);
-               if (!bmap)
-                       return NULL;
+       if (isl_stream_next_token_is(s, ISL_TOKEN_MAP)) {
+               struct isl_token *tok;
                tok = isl_stream_next_token(s);
-               if (!tok) {
-                       isl_stream_error(s, NULL, "unexpected EOF");
+               if (!tok)
                        goto error;
-               }
-               if (tok->type != ISL_TOKEN_AND)
-                       break;
+               isl_map_free(map);
+               map = isl_map_copy(tok->u.map);
                isl_token_free(tok);
+               return map;
        }
-       isl_stream_push_token(s, tok);
 
-       return bmap;
+       if (isl_stream_eat_if_available(s, ISL_TOKEN_EXISTS))
+               return read_exists(s, v, map);
+
+       if (isl_stream_eat_if_available(s, ISL_TOKEN_TRUE))
+               return map;
+
+       if (isl_stream_eat_if_available(s, ISL_TOKEN_FALSE)) {
+               isl_space *dim = isl_map_get_space(map);
+               isl_map_free(map);
+               return isl_map_empty(dim);
+       }
+               
+       return add_constraint(s, v, map);
 error:
-       if (tok)
-               isl_token_free(tok);
-       isl_basic_map_free(bmap);
+       isl_map_free(map);
        return NULL;
 }
 
-static struct isl_basic_map *read_disjunct(struct isl_stream *s,
-       struct vars *v, __isl_take isl_dim *dim)
+static __isl_give isl_map *read_conjuncts(struct isl_stream *s,
+       struct vars *v, __isl_take isl_map *map)
 {
-       int seen_paren = 0;
-       struct isl_token *tok;
-       struct isl_basic_map *bmap;
-
-       bmap = isl_basic_map_alloc_dim(dim, 0, 0, 0);
-       if (!bmap)
-               return NULL;
+       isl_map *res;
+       int negate;
 
-       tok = isl_stream_next_token(s);
-       if (!tok)
-               goto error;
-       if (tok->type == '(') {
-               seen_paren = 1;
-               isl_token_free(tok);
-       } else
-               isl_stream_push_token(s, tok);
+       negate = isl_stream_eat_if_available(s, ISL_TOKEN_NOT);
+       res = read_conjunct(s, v, isl_map_copy(map));
+       if (negate)
+               res = isl_map_subtract(isl_map_copy(map), res);
 
-       bmap = add_constraints(s, v, bmap);
-       bmap = isl_basic_map_simplify(bmap);
-       bmap = isl_basic_map_finalize(bmap);
+       while (isl_stream_eat_if_available(s, ISL_TOKEN_AND)) {
+               isl_map *res_i;
 
-       if (seen_paren && isl_stream_eat(s, ')'))
-               goto error;
+               negate = isl_stream_eat_if_available(s, ISL_TOKEN_NOT);
+               res_i = read_conjunct(s, v, isl_map_copy(map));
+               if (negate)
+                       res = isl_map_subtract(res, res_i);
+               else
+                       res = isl_map_intersect(res, res_i);
+       }
 
-       return bmap;
-error:
-       isl_basic_map_free(bmap);
-       return NULL;
+       isl_map_free(map);
+       return res;
 }
 
 static struct isl_map *read_disjuncts(struct isl_stream *s,
-       struct vars *v, __isl_take isl_dim *dim)
+       struct vars *v, __isl_take isl_map *map)
 {
-       struct isl_token *tok;
-       struct isl_map *map;
+       isl_map *res;
 
-       tok = isl_stream_next_token(s);
-       if (!tok) {
-               isl_stream_error(s, NULL, "unexpected EOF");
-               goto error;
-       }
-       if (tok->type == '}') {
-               isl_stream_push_token(s, tok);
+       if (isl_stream_next_token_is(s, '}')) {
+               isl_space *dim = isl_map_get_space(map);
+               isl_map_free(map);
                return isl_map_universe(dim);
        }
-       isl_stream_push_token(s, tok);
-
-       map = isl_map_empty(isl_dim_copy(dim));
-       for (;;) {
-               struct isl_basic_map *bmap;
-               int n = v->n;
 
-               bmap = read_disjunct(s, v, isl_dim_copy(dim));
-               map = isl_map_union(map, isl_map_from_basic_map(bmap));
+       res = read_conjuncts(s, v, isl_map_copy(map));
+       while (isl_stream_eat_if_available(s, ISL_TOKEN_OR)) {
+               isl_map *res_i;
 
-               vars_drop(v, v->n - n);
-
-               tok = isl_stream_next_token(s);
-               if (!tok || tok->type != ISL_TOKEN_OR)
-                       break;
-               isl_token_free(tok);
+               res_i = read_conjuncts(s, v, isl_map_copy(map));
+               res = isl_map_union(res, res_i);
        }
-       if (tok)
-               isl_stream_push_token(s, tok);
 
-       isl_dim_free(dim);
-       return map;
-error:
-       isl_dim_free(dim);
-       return NULL;
+       isl_map_free(map);
+       return res;
 }
 
 static int polylib_pos_to_isl_pos(__isl_keep isl_basic_map *bmap, int pos)
@@ -1146,6 +1312,13 @@ static __isl_give isl_basic_map *basic_map_read_polylib(struct isl_stream *s,
                isl_stream_error(s, NULL, "unexpected EOF");
                return NULL;
        }
+       if (tok->type != ISL_TOKEN_VALUE || tok2->type != ISL_TOKEN_VALUE) {
+               isl_stream_push_token(s, tok2);
+               isl_stream_push_token(s, tok);
+               isl_stream_error(s, NULL,
+                                "expecting constraint matrix dimensions");
+               return NULL;
+       }
        n_row = isl_int_get_si(tok->u.v);
        n_col = isl_int_get_si(tok2->u.v);
        on_new_line = tok2->on_new_line;
@@ -1246,11 +1419,17 @@ static struct isl_map *map_read_polylib(struct isl_stream *s, int nparam)
                return NULL;
        }
        tok2 = isl_stream_next_token_on_same_line(s);
-       if (tok2) {
+       if (tok2 && tok2->type == ISL_TOKEN_VALUE) {
                isl_stream_push_token(s, tok2);
                isl_stream_push_token(s, tok);
                return isl_map_from_basic_map(basic_map_read_polylib(s, nparam));
        }
+       if (tok2) {
+               isl_stream_error(s, tok2, "unexpected token");
+               isl_stream_push_token(s, tok2);
+               isl_stream_push_token(s, tok);
+               return NULL;
+       }
        n = isl_int_get_si(tok->u.v);
        isl_token_free(tok);
 
@@ -1258,7 +1437,7 @@ static struct isl_map *map_read_polylib(struct isl_stream *s, int nparam)
 
        map = isl_map_from_basic_map(basic_map_read_polylib(s, nparam));
 
-       for (i = 1; i < n; ++i)
+       for (i = 1; map && i < n; ++i)
                map = isl_map_union(map,
                        isl_map_from_basic_map(basic_map_read_polylib(s, nparam)));
 
@@ -1290,111 +1469,96 @@ static int optional_power(struct isl_stream *s)
        return pow;
 }
 
-static __isl_give isl_div *read_div(struct isl_stream *s,
-       __isl_take isl_dim *dim, struct vars *v)
-{
-       int n;
-       isl_basic_map *bmap;
-
-       n = v->n;
-       bmap = isl_basic_map_universe(dim);
-
-       if (vars_add_anon(v) < 0)
-               goto error;
-       if (read_div_definition(s, v) < 0)
-               goto error;
-       bmap = add_divs(bmap, v);
-       bmap = isl_basic_map_order_divs(bmap);
-       if (!bmap)
-               goto error;
-       vars_drop(v, v->n - n);
-
-       return isl_basic_map_div(bmap, bmap->n_div - 1);
-error:
-       isl_basic_map_free(bmap);
-       return NULL;
-}
-
-static __isl_give isl_qpolynomial *read_term(struct isl_stream *s,
-       __isl_keep isl_basic_map *bmap, struct vars *v);
+static __isl_give isl_pw_qpolynomial *read_term(struct isl_stream *s,
+       __isl_keep isl_map *map, struct vars *v);
 
-static __isl_give isl_qpolynomial *read_factor(struct isl_stream *s,
-       __isl_keep isl_basic_map *bmap, struct vars *v)
+static __isl_give isl_pw_qpolynomial *read_factor(struct isl_stream *s,
+       __isl_keep isl_map *map, struct vars *v)
 {
-       struct isl_qpolynomial *qp;
+       isl_pw_qpolynomial *pwqp;
        struct isl_token *tok;
 
-       tok = isl_stream_next_token(s);
+       tok = next_token(s);
        if (!tok) {
                isl_stream_error(s, NULL, "unexpected EOF");
                return NULL;
        }
        if (tok->type == '(') {
+               int pow;
+
                isl_token_free(tok);
-               qp = read_term(s, bmap, v);
-               if (!qp)
+               pwqp = read_term(s, map, v);
+               if (!pwqp)
                        return NULL;
                if (isl_stream_eat(s, ')'))
                        goto error;
+               pow = optional_power(s);
+               pwqp = isl_pw_qpolynomial_pow(pwqp, pow);
        } else if (tok->type == ISL_TOKEN_VALUE) {
                struct isl_token *tok2;
                tok2 = isl_stream_next_token(s);
+               isl_qpolynomial *qp;
                if (tok2 && tok2->type == '/') {
                        isl_token_free(tok2);
-                       tok2 = isl_stream_next_token(s);
+                       tok2 = next_token(s);
                        if (!tok2 || tok2->type != ISL_TOKEN_VALUE) {
                                isl_stream_error(s, tok2, "expected denominator");
                                isl_token_free(tok);
                                isl_token_free(tok2);
                                return NULL;
                        }
-                       qp = isl_qpolynomial_rat_cst(isl_basic_map_get_dim(bmap),
+                       qp = isl_qpolynomial_rat_cst(isl_map_get_space(map),
                                                    tok->u.v, tok2->u.v);
                        isl_token_free(tok2);
                } else {
                        isl_stream_push_token(s, tok2);
-                       qp = isl_qpolynomial_cst(isl_basic_map_get_dim(bmap),
+                       qp = isl_qpolynomial_cst(isl_map_get_space(map),
                                                tok->u.v);
                }
                isl_token_free(tok);
+               pwqp = isl_pw_qpolynomial_from_qpolynomial(qp);
        } else if (tok->type == ISL_TOKEN_INFTY) {
+               isl_qpolynomial *qp;
                isl_token_free(tok);
-               qp = isl_qpolynomial_infty(isl_basic_map_get_dim(bmap));
+               qp = isl_qpolynomial_infty(isl_map_get_space(map));
+               pwqp = isl_pw_qpolynomial_from_qpolynomial(qp);
        } else if (tok->type == ISL_TOKEN_NAN) {
+               isl_qpolynomial *qp;
                isl_token_free(tok);
-               qp = isl_qpolynomial_nan(isl_basic_map_get_dim(bmap));
+               qp = isl_qpolynomial_nan(isl_map_get_space(map));
+               pwqp = isl_pw_qpolynomial_from_qpolynomial(qp);
        } else if (tok->type == ISL_TOKEN_IDENT) {
                int n = v->n;
                int pos = vars_pos(v, tok->u.s, -1);
                int pow;
+               isl_qpolynomial *qp;
                if (pos < 0) {
                        isl_token_free(tok);
                        return NULL;
                }
                if (pos >= n) {
+                       vars_drop(v, v->n - n);
                        isl_stream_error(s, tok, "unknown identifier");
                        isl_token_free(tok);
                        return NULL;
                }
                isl_token_free(tok);
                pow = optional_power(s);
-               qp = isl_qpolynomial_pow(isl_basic_map_get_dim(bmap), pos, pow);
+               qp = isl_qpolynomial_var_pow(isl_map_get_space(map), pos, pow);
+               pwqp = isl_pw_qpolynomial_from_qpolynomial(qp);
        } else if (tok->type == '[') {
-               isl_div *div;
+               isl_pw_aff *pwaff;
                int pow;
 
                isl_stream_push_token(s, tok);
-               div = read_div(s, isl_basic_map_get_dim(bmap), v);
+               pwaff = accept_affine(s, isl_map_get_space(map), v);
                pow = optional_power(s);
-               qp = isl_qpolynomial_div_pow(div, pow);
+               pwqp = isl_pw_qpolynomial_from_pw_aff(pwaff);
+               pwqp = isl_pw_qpolynomial_pow(pwqp, pow);
        } else if (tok->type == '-') {
-               struct isl_qpolynomial *qp2;
-
                isl_token_free(tok);
-               qp = isl_qpolynomial_cst(isl_basic_map_get_dim(bmap),
-                                           s->ctx->negone);
-               qp2 = read_factor(s, bmap, v);
-               qp = isl_qpolynomial_mul(qp, qp2);
+               pwqp = read_factor(s, map, v);
+               pwqp = isl_pw_qpolynomial_neg(pwqp);
        } else {
                isl_stream_error(s, tok, "unexpected isl_token");
                isl_stream_push_token(s, tok);
@@ -1403,100 +1567,94 @@ static __isl_give isl_qpolynomial *read_factor(struct isl_stream *s,
 
        if (isl_stream_eat_if_available(s, '*') ||
            isl_stream_next_token_is(s, ISL_TOKEN_IDENT)) {
-               struct isl_qpolynomial *qp2;
+               isl_pw_qpolynomial *pwqp2;
 
-               qp2 = read_factor(s, bmap, v);
-               qp = isl_qpolynomial_mul(qp, qp2);
+               pwqp2 = read_factor(s, map, v);
+               pwqp = isl_pw_qpolynomial_mul(pwqp, pwqp2);
        }
 
-       return qp;
+       return pwqp;
 error:
-       isl_qpolynomial_free(qp);
+       isl_pw_qpolynomial_free(pwqp);
        return NULL;
 }
 
-static __isl_give isl_qpolynomial *read_term(struct isl_stream *s,
-       __isl_keep isl_basic_map *bmap, struct vars *v)
+static __isl_give isl_pw_qpolynomial *read_term(struct isl_stream *s,
+       __isl_keep isl_map *map, struct vars *v)
 {
        struct isl_token *tok;
-       struct isl_qpolynomial *qp;
+       isl_pw_qpolynomial *pwqp;
 
-       qp = read_factor(s, bmap, v);
+       pwqp = read_factor(s, map, v);
 
        for (;;) {
-               tok = isl_stream_next_token(s);
+               tok = next_token(s);
                if (!tok)
-                       return qp;
+                       return pwqp;
 
                if (tok->type == '+') {
-                       struct isl_qpolynomial *qp2;
+                       isl_pw_qpolynomial *pwqp2;
 
                        isl_token_free(tok);
-                       qp2 = read_factor(s, bmap, v);
-                       qp = isl_qpolynomial_add(qp, qp2);
+                       pwqp2 = read_factor(s, map, v);
+                       pwqp = isl_pw_qpolynomial_add(pwqp, pwqp2);
                } else if (tok->type == '-') {
-                       struct isl_qpolynomial *qp2;
+                       isl_pw_qpolynomial *pwqp2;
 
                        isl_token_free(tok);
-                       qp2 = read_factor(s, bmap, v);
-                       qp = isl_qpolynomial_sub(qp, qp2);
+                       pwqp2 = read_factor(s, map, v);
+                       pwqp = isl_pw_qpolynomial_sub(pwqp, pwqp2);
                } else if (tok->type == ISL_TOKEN_VALUE &&
                            isl_int_is_neg(tok->u.v)) {
-                       struct isl_qpolynomial *qp2;
+                       isl_pw_qpolynomial *pwqp2;
 
                        isl_stream_push_token(s, tok);
-                       qp2 = read_factor(s, bmap, v);
-                       qp = isl_qpolynomial_add(qp, qp2);
+                       pwqp2 = read_factor(s, map, v);
+                       pwqp = isl_pw_qpolynomial_add(pwqp, pwqp2);
                } else {
                        isl_stream_push_token(s, tok);
                        break;
                }
        }
 
-       return qp;
+       return pwqp;
 }
 
 static __isl_give isl_map *read_optional_disjuncts(struct isl_stream *s,
-       __isl_take isl_basic_map *bmap, struct vars *v)
+       __isl_take isl_map *map, struct vars *v)
 {
        struct isl_token *tok;
-       struct isl_map *map;
 
        tok = isl_stream_next_token(s);
        if (!tok) {
                isl_stream_error(s, NULL, "unexpected EOF");
                goto error;
        }
-       map = isl_map_from_basic_map(isl_basic_map_copy(bmap));
-       if (tok->type == ':') {
+       if (tok->type == ':' ||
+           (tok->type == ISL_TOKEN_OR && !strcmp(tok->u.s, "|"))) {
                isl_token_free(tok);
-               map = isl_map_intersect(map,
-                           read_disjuncts(s, v, isl_basic_map_get_dim(bmap)));
+               map = read_disjuncts(s, v, map);
        } else
                isl_stream_push_token(s, tok);
 
-       isl_basic_map_free(bmap);
-
        return map;
 error:
-       isl_basic_map_free(bmap);
+       isl_map_free(map);
        return NULL;
 }
 
 static struct isl_obj obj_read_poly(struct isl_stream *s,
-       __isl_take isl_basic_map *bmap, struct vars *v, int n)
+       __isl_take isl_map *map, struct vars *v, int n)
 {
        struct isl_obj obj = { isl_obj_pw_qpolynomial, NULL };
-       struct isl_pw_qpolynomial *pwqp;
-       struct isl_qpolynomial *qp;
-       struct isl_map *map;
+       isl_pw_qpolynomial *pwqp;
        struct isl_set *set;
 
-       qp = read_term(s, bmap, v);
-       map = read_optional_disjuncts(s, bmap, v);
+       pwqp = read_term(s, map, v);
+       map = read_optional_disjuncts(s, map, v);
        set = isl_map_range(map);
 
-       pwqp = isl_pw_qpolynomial_alloc(set, qp);
+       pwqp = isl_pw_qpolynomial_intersect_domain(pwqp, set);
 
        vars_drop(v, v->n - n);
 
@@ -1505,89 +1663,107 @@ static struct isl_obj obj_read_poly(struct isl_stream *s,
 }
 
 static struct isl_obj obj_read_poly_or_fold(struct isl_stream *s,
-       __isl_take isl_basic_map *bmap, struct vars *v, int n)
+       __isl_take isl_map *map, struct vars *v, int n)
 {
        struct isl_obj obj = { isl_obj_pw_qpolynomial_fold, NULL };
-       struct isl_obj obj_p;
-       isl_qpolynomial *qp;
-       isl_qpolynomial_fold *fold = NULL;
-       isl_pw_qpolynomial_fold *pwf;
-       isl_map *map;
+       isl_pw_qpolynomial *pwqp;
+       isl_pw_qpolynomial_fold *pwf = NULL;
        isl_set *set;
 
        if (!isl_stream_eat_if_available(s, ISL_TOKEN_MAX))
-               return obj_read_poly(s, bmap, v, n);
+               return obj_read_poly(s, map, v, n);
 
        if (isl_stream_eat(s, '('))
                goto error;
 
-       qp = read_term(s, bmap, v);
-       fold = isl_qpolynomial_fold_alloc(isl_fold_max, qp);
+       pwqp = read_term(s, map, v);
+       pwf = isl_pw_qpolynomial_fold_from_pw_qpolynomial(isl_fold_max, pwqp);
 
        while (isl_stream_eat_if_available(s, ',')) {
-               isl_qpolynomial_fold *fold_i;
-               qp = read_term(s, bmap, v);
-               fold_i = isl_qpolynomial_fold_alloc(isl_fold_max, qp);
-               fold = isl_qpolynomial_fold_fold(fold, fold_i);
+               isl_pw_qpolynomial_fold *pwf_i;
+               pwqp = read_term(s, map, v);
+               pwf_i = isl_pw_qpolynomial_fold_from_pw_qpolynomial(isl_fold_max,
+                                                                       pwqp);
+               pwf = isl_pw_qpolynomial_fold_fold(pwf, pwf_i);
        }
 
        if (isl_stream_eat(s, ')'))
                goto error;
 
-       map = read_optional_disjuncts(s, bmap, v);
+       map = read_optional_disjuncts(s, map, v);
        set = isl_map_range(map);
-       pwf = isl_pw_qpolynomial_fold_alloc(isl_fold_max, set, fold);
+       pwf = isl_pw_qpolynomial_fold_intersect_domain(pwf, set);
 
        vars_drop(v, v->n - n);
 
        obj.v = pwf;
        return obj;
 error:
-       isl_basic_map_free(bmap);
-       isl_qpolynomial_fold_free(fold);
+       isl_map_free(map);
+       isl_pw_qpolynomial_fold_free(pwf);
        obj.type = isl_obj_none;
        return obj;
 }
 
+static int is_rational(struct isl_stream *s)
+{
+       struct isl_token *tok;
+
+       tok = isl_stream_next_token(s);
+       if (!tok)
+               return 0;
+       if (tok->type == ISL_TOKEN_RAT && isl_stream_next_token_is(s, ':')) {
+               isl_token_free(tok);
+               isl_stream_eat(s, ':');
+               return 1;
+       }
+
+       isl_stream_push_token(s, tok);
+
+       return 0;
+}
+
 static struct isl_obj obj_read_body(struct isl_stream *s,
-       __isl_take isl_basic_map *bmap, struct vars *v)
+       __isl_take isl_map *map, struct vars *v)
 {
-       struct isl_map *map = NULL;
        struct isl_token *tok;
        struct isl_obj obj = { isl_obj_set, NULL };
        int n = v->n;
 
+       if (is_rational(s))
+               map = isl_map_set_rational(map);
+
        if (!next_is_tuple(s))
-               return obj_read_poly_or_fold(s, bmap, v, n);
+               return obj_read_poly_or_fold(s, map, v, n);
 
-       bmap = read_tuple(s, bmap, isl_dim_in, v);
-       if (!bmap)
+       map = read_tuple(s, map, isl_dim_in, v);
+       if (!map)
                goto error;
        tok = isl_stream_next_token(s);
        if (tok && tok->type == ISL_TOKEN_TO) {
                obj.type = isl_obj_map;
                isl_token_free(tok);
                if (!next_is_tuple(s)) {
-                       bmap = isl_basic_map_reverse(bmap);
-                       return obj_read_poly_or_fold(s, bmap, v, n);
+                       map = isl_map_reverse(map);
+                       return obj_read_poly_or_fold(s, map, v, n);
                }
-               bmap = read_tuple(s, bmap, isl_dim_out, v);
-               if (!bmap)
+               map = read_tuple(s, map, isl_dim_out, v);
+               if (!map)
                        goto error;
        } else {
-               bmap = isl_basic_map_reverse(bmap);
+               map = isl_map_reverse(map);
                if (tok)
                        isl_stream_push_token(s, tok);
        }
 
-       map = read_optional_disjuncts(s, bmap, v);
+       map = read_optional_disjuncts(s, map, v);
 
        vars_drop(v, v->n - n);
 
        obj.v = map;
        return obj;
 error:
-       isl_basic_map_free(bmap);
+       isl_map_free(map);
        obj.type = isl_obj_none;
        return obj;
 }
@@ -1639,21 +1815,21 @@ static struct isl_obj obj_add(struct isl_ctx *ctx,
            obj2.type == isl_obj_pw_qpolynomial_fold)
                obj2 = to_union(ctx, obj2);
        isl_assert(ctx, obj1.type == obj2.type, goto error);
-       if (obj1.type == isl_obj_map && !isl_map_has_equal_dim(obj1.v, obj2.v)) {
+       if (obj1.type == isl_obj_map && !isl_map_has_equal_space(obj1.v, obj2.v)) {
                obj1 = to_union(ctx, obj1);
                obj2 = to_union(ctx, obj2);
        }
-       if (obj1.type == isl_obj_set && !isl_set_has_equal_dim(obj1.v, obj2.v)) {
+       if (obj1.type == isl_obj_set && !isl_set_has_equal_space(obj1.v, obj2.v)) {
                obj1 = to_union(ctx, obj1);
                obj2 = to_union(ctx, obj2);
        }
        if (obj1.type == isl_obj_pw_qpolynomial &&
-           !isl_pw_qpolynomial_has_equal_dim(obj1.v, obj2.v)) {
+           !isl_pw_qpolynomial_has_equal_space(obj1.v, obj2.v)) {
                obj1 = to_union(ctx, obj1);
                obj2 = to_union(ctx, obj2);
        }
        if (obj1.type == isl_obj_pw_qpolynomial_fold &&
-           !isl_pw_qpolynomial_fold_has_equal_dim(obj1.v, obj2.v)) {
+           !isl_pw_qpolynomial_fold_has_equal_space(obj1.v, obj2.v)) {
                obj1 = to_union(ctx, obj1);
                obj2 = to_union(ctx, obj2);
        }
@@ -1669,18 +1845,31 @@ error:
 
 static struct isl_obj obj_read(struct isl_stream *s, int nparam)
 {
-       isl_basic_map *bmap = NULL;
+       isl_map *map = NULL;
        struct isl_token *tok;
        struct vars *v = NULL;
        struct isl_obj obj = { isl_obj_set, NULL };
 
-       tok = isl_stream_next_token(s);
+       tok = next_token(s);
        if (!tok) {
                isl_stream_error(s, NULL, "unexpected EOF");
                goto error;
        }
        if (tok->type == ISL_TOKEN_VALUE) {
+               struct isl_token *tok2;
                struct isl_map *map;
+
+               tok2 = isl_stream_next_token(s);
+               if (!tok2 || tok2->type != ISL_TOKEN_VALUE ||
+                   isl_int_is_neg(tok2->u.v)) {
+                       if (tok2)
+                               isl_stream_push_token(s, tok2);
+                       obj.type = isl_obj_int;
+                       obj.v = isl_int_obj_alloc(s->ctx, tok->u.v);
+                       isl_token_free(tok);
+                       return obj;
+               }
+               isl_stream_push_token(s, tok2);
                isl_stream_push_token(s, tok);
                map = map_read_polylib(s, nparam);
                if (!map)
@@ -1695,11 +1884,11 @@ static struct isl_obj obj_read(struct isl_stream *s, int nparam)
                isl_stream_push_token(s, tok);
                goto error;
        }
-       bmap = isl_basic_map_alloc(s->ctx, 0, 0, 0, 0, 0, 0);
+       map = isl_map_universe(isl_space_alloc(s->ctx, 0, 0, 0));
        if (tok->type == '[') {
                isl_stream_push_token(s, tok);
-               bmap = read_tuple(s, bmap, isl_dim_param, v);
-               if (!bmap)
+               map = read_tuple(s, map, isl_dim_param, v);
+               if (!map)
                        goto error;
                if (nparam >= 0)
                        isl_assert(s->ctx, nparam == v->n, goto error);
@@ -1713,7 +1902,7 @@ static struct isl_obj obj_read(struct isl_stream *s, int nparam)
                isl_token_free(tok);
                tok = isl_stream_next_token(s);
        } else if (nparam > 0)
-               bmap = isl_basic_map_add(bmap, isl_dim_param, nparam);
+               map = isl_map_add_dims(map, isl_dim_param, nparam);
        if (!tok || tok->type != '{') {
                isl_stream_error(s, tok, "expecting '{'");
                if (tok)
@@ -1729,14 +1918,14 @@ static struct isl_obj obj_read(struct isl_stream *s, int nparam)
                isl_token_free(tok);
                if (isl_stream_eat(s, '='))
                        goto error;
-               bmap = read_tuple(s, bmap, isl_dim_param, v);
-               if (!bmap)
+               map = read_tuple(s, map, isl_dim_param, v);
+               if (!map)
                        goto error;
                if (nparam >= 0)
                        isl_assert(s->ctx, nparam == v->n, goto error);
        } else if (tok->type == '}') {
                obj.type = isl_obj_union_set;
-               obj.v = isl_union_set_empty(isl_basic_map_get_dim(bmap));
+               obj.v = isl_union_set_empty(isl_map_get_space(map));
                isl_token_free(tok);
                goto done;
        } else
@@ -1745,7 +1934,7 @@ static struct isl_obj obj_read(struct isl_stream *s, int nparam)
        for (;;) {
                struct isl_obj o;
                tok = NULL;
-               o = obj_read_body(s, isl_basic_map_copy(bmap), v);
+               o = obj_read_body(s, isl_map_copy(map), v);
                if (o.type == isl_obj_none || !o.v)
                        goto error;
                if (!obj.v)
@@ -1759,6 +1948,10 @@ static struct isl_obj obj_read(struct isl_stream *s, int nparam)
                if (!tok || tok->type != ';')
                        break;
                isl_token_free(tok);
+               if (isl_stream_next_token_is(s, '}')) {
+                       tok = isl_stream_next_token(s);
+                       break;
+               }
        }
 
        if (tok && tok->type == '}') {
@@ -1771,11 +1964,11 @@ static struct isl_obj obj_read(struct isl_stream *s, int nparam)
        }
 done:
        vars_free(v);
-       isl_basic_map_free(bmap);
+       isl_map_free(map);
 
        return obj;
 error:
-       isl_basic_map_free(bmap);
+       isl_map_free(map);
        obj.type->free(obj.v);
        if (v)
                vars_free(v);
@@ -1791,7 +1984,6 @@ struct isl_obj isl_stream_read_obj(struct isl_stream *s)
 __isl_give isl_map *isl_stream_read_map(struct isl_stream *s, int nparam)
 {
        struct isl_obj obj;
-       struct isl_map *map;
 
        obj = obj_read(s, nparam);
        if (obj.v)
@@ -1807,7 +1999,6 @@ error:
 __isl_give isl_set *isl_stream_read_set(struct isl_stream *s, int nparam)
 {
        struct isl_obj obj;
-       struct isl_set *set;
 
        obj = obj_read(s, nparam);
        if (obj.v)
@@ -1822,7 +2013,6 @@ error:
 __isl_give isl_union_map *isl_stream_read_union_map(struct isl_stream *s)
 {
        struct isl_obj obj;
-       isl_union_map *umap;
 
        obj = obj_read(s, -1);
        if (obj.type == isl_obj_map) {
@@ -1846,7 +2036,6 @@ error:
 __isl_give isl_union_set *isl_stream_read_union_set(struct isl_stream *s)
 {
        struct isl_obj obj;
-       isl_union_set *uset;
 
        obj = obj_read(s, -1);
        if (obj.type == isl_obj_set) {
@@ -1992,6 +2181,18 @@ error:
        return NULL;
 }
 
+__isl_give isl_union_map *isl_union_map_read_from_file(isl_ctx *ctx,
+       FILE *input)
+{
+       isl_union_map *umap;
+       struct isl_stream *s = isl_stream_new_file(ctx, input);
+       if (!s)
+               return NULL;
+       umap = isl_stream_read_union_map(s);
+       isl_stream_free(s);
+       return umap;
+}
+
 __isl_give isl_union_map *isl_union_map_read_from_str(struct isl_ctx *ctx,
                const char *str)
 {
@@ -2004,11 +2205,11 @@ __isl_give isl_union_map *isl_union_map_read_from_str(struct isl_ctx *ctx,
        return umap;
 }
 
-__isl_give isl_union_set *isl_union_set_read_from_str(struct isl_ctx *ctx,
-               const char *str)
+__isl_give isl_union_set *isl_union_set_read_from_file(isl_ctx *ctx,
+       FILE *input)
 {
        isl_union_set *uset;
-       struct isl_stream *s = isl_stream_new_str(ctx, str);
+       struct isl_stream *s = isl_stream_new_file(ctx, input);
        if (!s)
                return NULL;
        uset = isl_stream_read_union_set(s);
@@ -2016,67 +2217,73 @@ __isl_give isl_union_set *isl_union_set_read_from_str(struct isl_ctx *ctx,
        return uset;
 }
 
-static char *next_line(FILE *input, char *line, unsigned len)
+__isl_give isl_union_set *isl_union_set_read_from_str(struct isl_ctx *ctx,
+               const char *str)
 {
-       char *p;
-
-       do {
-               if (!(p = fgets(line, len, input)))
-                       return NULL;
-               while (isspace(*p) && *p != '\n')
-                       ++p;
-       } while (*p == '#' || *p == '\n');
-
-       return p;
+       isl_union_set *uset;
+       struct isl_stream *s = isl_stream_new_str(ctx, str);
+       if (!s)
+               return NULL;
+       uset = isl_stream_read_union_set(s);
+       isl_stream_free(s);
+       return uset;
 }
 
-static struct isl_vec *isl_vec_read_from_file_polylib(struct isl_ctx *ctx,
-               FILE *input)
+static __isl_give isl_vec *isl_vec_read_polylib(struct isl_stream *s)
 {
        struct isl_vec *vec = NULL;
-       char line[1024];
-       char val[1024];
-       char *p;
+       struct isl_token *tok;
        unsigned size;
        int j;
-       int n;
-       int offset;
 
-       isl_assert(ctx, next_line(input, line, sizeof(line)), return NULL);
-       isl_assert(ctx, sscanf(line, "%u", &size) == 1, return NULL);
+       tok = isl_stream_next_token(s);
+       if (!tok || tok->type != ISL_TOKEN_VALUE) {
+               isl_stream_error(s, tok, "expecting vector length");
+               goto error;
+       }
 
-       vec = isl_vec_alloc(ctx, size);
+       size = isl_int_get_si(tok->u.v);
+       isl_token_free(tok);
 
-       p = next_line(input, line, sizeof(line));
-       isl_assert(ctx, p, goto error);
+       vec = isl_vec_alloc(s->ctx, size);
 
        for (j = 0; j < size; ++j) {
-               n = sscanf(p, "%s%n", val, &offset);
-               isl_assert(ctx, n != 0, goto error);
-               isl_int_read(vec->el[j], val);
-               p += offset;
+               tok = isl_stream_next_token(s);
+               if (!tok || tok->type != ISL_TOKEN_VALUE) {
+                       isl_stream_error(s, tok, "expecting constant value");
+                       goto error;
+               }
+               isl_int_set(vec->el[j], tok->u.v);
+               isl_token_free(tok);
        }
 
        return vec;
 error:
+       isl_token_free(tok);
        isl_vec_free(vec);
        return NULL;
 }
 
-struct isl_vec *isl_vec_read_from_file(struct isl_ctx *ctx,
-               FILE *input, unsigned input_format)
+static __isl_give isl_vec *vec_read(struct isl_stream *s)
 {
-       if (input_format == ISL_FORMAT_POLYLIB)
-               return isl_vec_read_from_file_polylib(ctx, input);
-       else
-               isl_assert(ctx, 0, return NULL);
+       return isl_vec_read_polylib(s);
+}
+
+__isl_give isl_vec *isl_vec_read_from_file(isl_ctx *ctx, FILE *input)
+{
+       isl_vec *v;
+       struct isl_stream *s = isl_stream_new_file(ctx, input);
+       if (!s)
+               return NULL;
+       v = vec_read(s);
+       isl_stream_free(s);
+       return v;
 }
 
 __isl_give isl_pw_qpolynomial *isl_stream_read_pw_qpolynomial(
        struct isl_stream *s)
 {
        struct isl_obj obj;
-       struct isl_pw_qpolynomial *pwqp;
 
        obj = obj_read(s, -1);
        if (obj.v)
@@ -2100,3 +2307,15 @@ __isl_give isl_pw_qpolynomial *isl_pw_qpolynomial_read_from_str(isl_ctx *ctx,
        isl_stream_free(s);
        return pwqp;
 }
+
+__isl_give isl_pw_qpolynomial *isl_pw_qpolynomial_read_from_file(isl_ctx *ctx,
+               FILE *input)
+{
+       isl_pw_qpolynomial *pwqp;
+       struct isl_stream *s = isl_stream_new_file(ctx, input);
+       if (!s)
+               return NULL;
+       pwqp = isl_stream_read_pw_qpolynomial(s);
+       isl_stream_free(s);
+       return pwqp;
+}