/* * 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 #include #include #include #include #include #include #include #include #include #include #include "isl_polynomial_private.h" #include #include struct variable { char *name; int pos; isl_vec *def; /* non-zero if variable represents a min (-1) or a max (1) */ int sign; isl_mat *list; struct variable *next; }; struct vars { struct isl_ctx *ctx; int n; struct variable *v; }; static struct vars *vars_new(struct isl_ctx *ctx) { struct vars *v; v = isl_alloc_type(ctx, struct vars); if (!v) return NULL; v->ctx = ctx; v->n = 0; v->v = NULL; return v; } static void variable_free(struct variable *var) { while (var) { struct variable *next = var->next; isl_mat_free(var->list); isl_vec_free(var->def); free(var->name); free(var); var = next; } } static void vars_free(struct vars *v) { if (!v) return; variable_free(v->v); free(v); } static void vars_drop(struct vars *v, int n) { struct variable *var; if (!v || !v->v) return; v->n -= n; var = v->v; while (--n >= 0) { struct variable *next = var->next; isl_mat_free(var->list); isl_vec_free(var->def); free(var->name); free(var); var = next; } v->v = var; } static struct variable *variable_new(struct vars *v, const char *name, int len, int pos) { struct variable *var; 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: variable_free(v->v); return NULL; } static int vars_pos(struct vars *v, const char *s, int len) { int pos; struct variable *q; if (len == -1) len = strlen(s); for (q = v->v; q; q = q->next) { if (strncmp(q->name, s, len) == 0 && q->name[len] == '\0') break; } if (q) pos = q->pos; else { pos = v->n; v->v = variable_new(v, s, len, v->n); if (!v->v) return -1; v->n++; } return pos; } static int vars_add_anon(struct vars *v) { v->v = variable_new(v, "", 0, v->n); if (!v->v) return -1; v->n++; return 0; } static __isl_give isl_basic_map *set_name(__isl_take isl_basic_map *bmap, enum isl_dim_type type, unsigned pos, char *name) { char *prime; if (!bmap) return NULL; if (!name) return bmap; prime = strchr(name, '\''); if (prime) *prime = '\0'; bmap = isl_basic_map_set_dim_name(bmap, type, pos, name); if (prime) *prime = '\''; return bmap; } /* 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 = next_token(s); if (!tok || tok->type != ISL_TOKEN_VALUE) { isl_stream_error(s, tok, "expecting constant value"); goto error; } isl_int_mul(*f, *f, tok->u.v); isl_token_free(tok); if (isl_stream_eat_if_available(s, '*')) return accept_cst_factor(s, f); return 0; error: isl_token_free(tok); return -1; } /* 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_vec *affine_mod(struct isl_stream *s, struct vars *v, __isl_take isl_vec *aff) { struct isl_token *tok; struct variable *var; isl_vec *mod; tok = next_token(s); if (!tok || tok->type != ISL_TOKEN_VALUE) { isl_stream_error(s, tok, "expecting constant value"); goto error; } if (vars_add_anon(v) < 0) goto error; var = v->v; var->def = isl_vec_alloc(s->ctx, 2 + v->n); if (!var->def) goto error; isl_seq_cpy(var->def->el + 1, aff->el, aff->size); isl_int_set_si(var->def->el[1 + aff->size], 0); isl_int_set(var->def->el[0], tok->u.v); mod = isl_vec_alloc(v->ctx, 1 + v->n); if (!mod) goto error; isl_seq_cpy(mod->el, aff->el, aff->size); isl_int_neg(mod->el[aff->size], tok->u.v); isl_vec_free(aff); isl_token_free(tok); return mod; error: isl_vec_free(aff); isl_token_free(tok); return NULL; } 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); static int read_minmax_definition(struct isl_stream *s, struct vars *v); static __isl_give isl_vec *accept_affine_factor(struct isl_stream *s, struct vars *v) { struct isl_token *tok = NULL; isl_vec *aff = NULL; tok = next_token(s); if (!tok) { isl_stream_error(s, NULL, "unexpected EOF"); goto error; } if (tok->type == ISL_TOKEN_IDENT) { int n = v->n; int pos = vars_pos(v, tok->u.s, -1); if (pos < 0) goto error; if (pos >= n) { isl_stream_error(s, tok, "unknown identifier"); 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 + pos], 1); 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); } 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_token_free(tok); } else if (tok->type == '(') { isl_token_free(tok); tok = NULL; aff = accept_affine(s, v); if (!aff) goto error; if (isl_stream_eat(s, ')')) goto error; } else if (tok->type == '[' || tok->type == ISL_TOKEN_FLOORD || tok->type == ISL_TOKEN_CEILD) { int ceil = tok->type == ISL_TOKEN_CEILD; struct variable *var; if (vars_add_anon(v) < 0) goto error; var = v->v; 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], ceil ? -1 : 1); isl_stream_push_token(s, tok); tok = NULL; if (read_div_definition(s, v) < 0) goto error; if (ceil) isl_seq_neg(var->def->el + 1, var->def->el + 1, var->def->size - 1); aff = isl_vec_zero_extend(aff, 1 + v->n); } else if (tok->type == ISL_TOKEN_MIN || tok->type == ISL_TOKEN_MAX) { 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); isl_stream_push_token(s, tok); tok = NULL; if (read_minmax_definition(s, v) < 0) goto error; aff = isl_vec_zero_extend(aff, 1 + v->n); } else { isl_stream_error(s, tok, "expecting factor"); goto error; } if (isl_stream_eat_if_available(s, '%')) return affine_mod(s, v, aff); 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 error2; } aff = isl_vec_scale(aff, f); isl_int_clear(f); } return aff; error: isl_token_free(tok); error2: isl_vec_free(aff); return NULL; } static struct isl_vec *accept_affine(struct isl_stream *s, struct vars *v) { struct isl_token *tok = NULL; struct isl_vec *aff; int sign = 1; aff = isl_vec_alloc(v->ctx, 1 + v->n); if (!aff) return NULL; isl_seq_clr(aff->el, aff->size); for (;;) { tok = next_token(s); if (!tok) { isl_stream_error(s, NULL, "unexpected EOF"); goto error; } if (tok->type == '-') { sign = -sign; isl_token_free(tok); continue; } if (tok->type == '(' || tok->type == '[' || 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) { isl_vec *aff2; isl_stream_push_token(s, tok); tok = NULL; aff2 = accept_affine_factor(s, 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) goto error; sign = 1; } else if (tok->type == ISL_TOKEN_VALUE) { if (sign < 0) 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) goto error; } else { isl_int_add(aff->el[0], aff->el[0], tok->u.v); } sign = 1; } else { isl_stream_error(s, tok, "unexpected isl_token"); isl_stream_push_token(s, tok); isl_vec_free(aff); return NULL; } isl_token_free(tok); tok = next_token(s); if (tok && tok->type == '-') { sign = -sign; isl_token_free(tok); } else if (tok && tok->type == '+') { /* nothing */ isl_token_free(tok); } else if (tok && tok->type == ISL_TOKEN_VALUE && isl_int_is_neg(tok->u.v)) { isl_stream_push_token(s, tok); } else { if (tok) isl_stream_push_token(s, tok); break; } } return aff; error: isl_token_free(tok); isl_vec_free(aff); 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) { int i; int extra; struct variable *var; extra = v->n - isl_basic_map_total_dim(bmap); if (extra == 0) return bmap; bmap = isl_basic_map_extend_dim(bmap, isl_basic_map_get_dim(bmap), extra, 0, 2 * extra); for (i = 0; i < extra; ++i) if (isl_basic_map_alloc_div(bmap) < 0) goto error; for (i = 0, var = v->v; i < extra; ++i, var = var->next) { int k = bmap->n_div - 1 - i; 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_basic_map_add_div_constraints(bmap, k) < 0) goto error; } return bmap; error: isl_basic_map_free(bmap); 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) { isl_dim *dim; isl_basic_map *def = NULL; struct isl_vec *vec; int k; int n; if (vars_add_anon(v) < 0) goto error; n = v->n; vec = accept_affine(s, v); if (!vec) goto error; 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); } isl_vec_free(vec); if (k < 0) goto error; vars_drop(v, v->n - n); 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; } 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) { int i = 0; struct isl_token *tok; while ((tok = next_token(s)) != NULL) { int new_name = 0; if (tok->type == ISL_TOKEN_IDENT) { int n = v->n; int p = vars_pos(v, tok->u.s, -1); if (p < 0) goto error; new_name = p >= n; } if (new_name) { bmap = isl_basic_map_add(bmap, type, 1); bmap = set_name(bmap, 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 (type == isl_dim_param) { isl_stream_error(s, tok, "expecting unique identifier"); goto error; } 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; tok = isl_stream_next_token(s); if (!tok || tok->type != ',') break; isl_token_free(tok); i++; } if (tok) isl_stream_push_token(s, tok); return bmap; error: isl_token_free(tok); isl_basic_map_free(bmap); return NULL; } static __isl_give isl_mat *accept_affine_list(struct isl_stream *s, struct vars *v) { struct isl_vec *vec; struct isl_mat *mat; struct isl_token *tok = NULL; vec = accept_affine(s, v); mat = isl_mat_from_row_vec(vec); if (!mat) return NULL; for (;;) { 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); break; } 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) return NULL; } return mat; error: isl_mat_free(mat); return NULL; } static int read_minmax_definition(struct isl_stream *s, struct vars *v) { struct isl_token *tok; struct variable *var; var = v->v; tok = isl_stream_next_token(s); if (!tok) return -1; var->sign = tok->type == ISL_TOKEN_MIN ? -1 : 1; isl_token_free(tok); if (isl_stream_eat(s, '(')) return -1; var->list = accept_affine_list(s, v); if (!var->list) return -1; if (isl_stream_eat(s, ')')) return -1; return 0; } 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; int fc = 0; if (isl_stream_eat_if_available(s, ISL_TOKEN_FLOORD) || isl_stream_eat_if_available(s, ISL_TOKEN_CEILD)) { fc = 1; if (isl_stream_eat(s, '(')) return -1; } else { if (isl_stream_eat(s, '[')) return -1; if (isl_stream_eat_if_available(s, '(')) seen_paren = 1; } 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 (fc) { if (isl_stream_eat(s, ',')) return -1; } else { if (seen_paren && isl_stream_eat(s, ')')) return -1; if (isl_stream_eat(s, '/')) return -1; } tok = 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 (fc) { if (isl_stream_eat(s, ')')) return -1; } else { 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 pos) { struct variable *var = v->v; unsigned o_out = isl_basic_map_offset(bmap, isl_dim_out) - 1; if (read_div_definition(s, v) < 0) goto error; if (isl_basic_map_add_div_constraints_var(bmap, o_out + pos, var->def->el) < 0) goto error; return bmap; error: isl_basic_map_free(bmap); return NULL; } static struct isl_basic_map *read_defined_var_list(struct isl_stream *s, struct vars *v, struct isl_basic_map *bmap) { struct isl_token *tok; while ((tok = isl_stream_next_token(s)) != NULL) { int p; int n = v->n; unsigned n_out = isl_basic_map_dim(bmap, isl_dim_out); if (tok->type != ISL_TOKEN_IDENT) break; p = vars_pos(v, tok->u.s, -1); if (p < 0) goto error; if (p < n) { isl_stream_error(s, tok, "expecting unique identifier"); goto error; } bmap = isl_basic_map_cow(bmap); bmap = isl_basic_map_add(bmap, isl_dim_out, 1); bmap = isl_basic_map_extend_dim(bmap, isl_dim_copy(bmap->dim), 0, 0, 2); 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, n_out); tok = isl_stream_next_token(s); } if (!tok || tok->type != ',') break; isl_token_free(tok); } if (tok) isl_stream_push_token(s, tok); return bmap; error: isl_token_free(tok); isl_basic_map_free(bmap); return NULL; } static int next_is_tuple(struct isl_stream *s) { struct isl_token *tok; int is_tuple; tok = isl_stream_next_token(s); if (!tok) return 0; if (tok->type == '[') { isl_stream_push_token(s, tok); return 1; } if (tok->type != ISL_TOKEN_IDENT && !tok->is_keyword) { isl_stream_push_token(s, tok); return 0; } is_tuple = isl_stream_next_token_is(s, '['); isl_stream_push_token(s, tok); 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_basic_map *read_nested_tuple(struct isl_stream *s, __isl_take isl_basic_map *bmap, struct vars *v) { bmap = read_tuple(s, bmap, 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; error: isl_basic_map_free(bmap); 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) { struct isl_token *tok; char *name = NULL; tok = isl_stream_next_token(s); if (tok && (tok->type == ISL_TOKEN_IDENT || tok->is_keyword)) { name = strdup(tok->u.s); if (!name) goto error; isl_token_free(tok); tok = isl_stream_next_token(s); } if (!tok || tok->type != '[') { isl_stream_error(s, tok, "expecting '['"); goto error; } 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; if (type == isl_dim_out) dim = isl_dim_move(dim, isl_dim_param, nparam, isl_dim_in, 0, n_in); nested = isl_basic_map_alloc_dim(dim, 0, 0, 0); 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); } 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); } } else bmap = read_var_list(s, bmap, type, v); tok = isl_stream_next_token(s); if (!tok || tok->type != ']') { isl_stream_error(s, tok, "expecting ']'"); goto error; } isl_token_free(tok); if (name) { bmap = isl_basic_map_set_tuple_name(bmap, type, name); free(name); } return bmap; error: if (tok) isl_token_free(tok); isl_basic_map_free(bmap); 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) { int k; unsigned len; struct isl_ctx *ctx; if (!bmap) return NULL; len = 1 + isl_basic_map_total_dim(bmap); ctx = bmap->ctx; k = isl_basic_map_alloc_inequality(bmap); if (k < 0) 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; } static int is_comparator(struct isl_token *tok) { if (!tok) return 0; 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; } } /* Add any variables in the variable list "v" that are not already in "bmap" * as output variables in "bmap". */ static __isl_give isl_basic_map *add_lifted_divs(__isl_take isl_basic_map *bmap, struct vars *v) { int i; int extra; struct variable *var; extra = v->n - isl_basic_map_total_dim(bmap); if (extra == 0) return bmap; bmap = isl_basic_map_add(bmap, isl_dim_out, extra); bmap = isl_basic_map_extend_dim(bmap, isl_basic_map_get_dim(bmap), 0, 0, 2 * extra); for (i = 0, var = v->v; i < extra; ++i, var = var->next) { if (!var->def) continue; var->def = isl_vec_zero_extend(var->def, 2 + v->n); if (!var->def) goto error; if (isl_basic_map_add_div_constraints_var(bmap, var->pos, var->def->el) < 0) goto error; } return bmap; error: isl_basic_map_free(bmap); return NULL; } static struct isl_basic_map *add_constraint(struct isl_stream *s, struct vars *v, struct isl_basic_map *bmap) { int i, j; struct isl_token *tok = NULL; struct isl_mat *aff1 = NULL, *aff2 = NULL; bmap = isl_basic_map_cow(bmap); aff1 = accept_affine_list(s, v); if (!aff1) 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; 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_lifted_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; tok = isl_stream_next_token(s); if (!is_comparator(tok)) { if (tok) isl_stream_push_token(s, tok); break; } } isl_mat_free(aff1); return bmap; error: if (tok) isl_token_free(tok); isl_mat_free(aff1); isl_mat_free(aff2); isl_basic_map_free(bmap); return NULL; } /* Return first variable, starting at n, representing a min or max, * or NULL if there is no such variable. */ static struct variable *first_minmax(struct vars *v, int n) { struct variable *first = NULL; struct variable *var; for (var = v->v; var && var->pos >= n; var = var->next) if (var->list) first = var; return first; } /* Check whether the variable at the given position only occurs in * inequalities and only with the given sign. */ static int all_coefficients_of_sign(__isl_keep isl_map *map, int pos, int sign) { int i, j; if (!map) return -1; for (i = 0; i < map->n; ++i) { isl_basic_map *bmap = map->p[i]; for (j = 0; j < bmap->n_eq; ++j) if (!isl_int_is_zero(bmap->eq[j][1 + pos])) return 0; for (j = 0; j < bmap->n_ineq; ++j) { int s = isl_int_sgn(bmap->ineq[j][1 + pos]); if (s == 0) continue; if (s != sign) return 0; } } return 1; } /* Given a variable m which represents a min or a max of n expressions * b_i, add the constraints * * m <= b_i * * in case of a min (var->sign < 0) and m >= b_i in case of a max. */ static __isl_give isl_map *bound_minmax(__isl_take isl_map *map, struct variable *var) { int i, k; isl_basic_map *bound; int total; total = isl_map_dim(map, isl_dim_all); bound = isl_basic_map_alloc_dim(isl_map_get_dim(map), 0, 0, var->list->n_row); for (i = 0; i < var->list->n_row; ++i) { k = isl_basic_map_alloc_inequality(bound); if (k < 0) goto error; if (var->sign < 0) isl_seq_cpy(bound->ineq[k], var->list->row[i], var->list->n_col); else isl_seq_neg(bound->ineq[k], var->list->row[i], var->list->n_col); isl_int_set_si(bound->ineq[k][1 + var->pos], var->sign); isl_seq_clr(bound->ineq[k] + var->list->n_col, 1 + total - var->list->n_col); } map = isl_map_intersect(map, isl_map_from_basic_map(bound)); return map; error: isl_basic_map_free(bound); isl_map_free(map); return NULL; } /* Given a variable m which represents a min (or max) of n expressions * b_i, add constraints that assigns the minimal upper bound to m, i.e., * divide the space into cells where one * of the upper bounds is smaller than all the others and assign * this upper bound to m. * * In particular, if there are n bounds b_i, then the input map * is split into n pieces, each with the extra constraints * * m = b_i * b_i <= b_j for j > i * b_i < b_j for j < i * * in case of a min (var->sign < 0) and similarly in case of a max. * * Note: this function is very similar to set_minimum in isl_tab_pip.c * Perhaps we should try to merge the two. */ static __isl_give isl_map *set_minmax(__isl_take isl_map *map, struct variable *var) { int i, j, k; isl_basic_map *bmap = NULL; isl_ctx *ctx; isl_map *split = NULL; int total; ctx = isl_map_get_ctx(map); total = isl_map_dim(map, isl_dim_all); split = isl_map_alloc_dim(isl_map_get_dim(map), var->list->n_row, ISL_SET_DISJOINT); for (i = 0; i < var->list->n_row; ++i) { bmap = isl_basic_map_alloc_dim(isl_map_get_dim(map), 0, 1, var->list->n_row - 1); k = isl_basic_map_alloc_equality(bmap); if (k < 0) goto error; isl_seq_cpy(bmap->eq[k], var->list->row[i], var->list->n_col); isl_int_set_si(bmap->eq[k][1 + var->pos], -1); for (j = 0; j < var->list->n_row; ++j) { if (j == i) continue; k = isl_basic_map_alloc_inequality(bmap); if (k < 0) goto error; if (var->sign < 0) isl_seq_combine(bmap->ineq[k], ctx->one, var->list->row[j], ctx->negone, var->list->row[i], var->list->n_col); else isl_seq_combine(bmap->ineq[k], ctx->negone, var->list->row[j], ctx->one, var->list->row[i], var->list->n_col); isl_seq_clr(bmap->ineq[k] + var->list->n_col, 1 + total - var->list->n_col); if (j < i) isl_int_sub_ui(bmap->ineq[k][0], bmap->ineq[k][0], 1); } bmap = isl_basic_map_finalize(bmap); split = isl_map_add_basic_map(split, bmap); } map = isl_map_intersect(map, split); return map; error: isl_basic_map_free(bmap); isl_map_free(split); isl_map_free(map); return NULL; } /* Plug in the definitions of all min and max expressions. * If a min expression only appears in inequalities and only * with a positive coefficient, then we can simply bound * the variable representing the min by its defining terms * and similarly for a max expression. * Otherwise, we have to assign the different terms to the * variable under the condition that the assigned term is smaller * than the other terms. */ static __isl_give isl_map *add_minmax(__isl_take isl_map *map, struct vars *v, int n) { int i; struct variable *var; while (n < v->n) { var = first_minmax(v, n); if (!var) break; if (all_coefficients_of_sign(map, var->pos, -var->sign)) map = bound_minmax(map, var); else map = set_minmax(map, var); n = var->pos + 1; } return map; } static isl_map *read_constraint(struct isl_stream *s, struct vars *v, __isl_take isl_basic_map *bmap) { int n = v->n; isl_map *map; if (!bmap) return NULL; bmap = isl_basic_set_unwrap(isl_basic_set_lift(isl_basic_map_wrap(bmap))); bmap = add_constraint(s, v, bmap); bmap = isl_basic_map_simplify(bmap); bmap = isl_basic_map_finalize(bmap); map = isl_map_from_basic_map(bmap); map = add_minmax(map, v, n); map = isl_set_unwrap(isl_map_domain(map)); vars_drop(v, v->n - n); return map; } static struct isl_map *read_disjuncts(struct isl_stream *s, struct vars *v, __isl_take isl_basic_map *bmap); static __isl_give isl_map *read_exists(struct isl_stream *s, struct vars *v, __isl_take isl_basic_map *bmap) { int n = v->n; int seen_paren = isl_stream_eat_if_available(s, '('); isl_map *map = NULL; bmap = isl_basic_map_from_domain(isl_basic_map_wrap(bmap)); bmap = read_defined_var_list(s, v, bmap); if (isl_stream_eat(s, ':')) goto error; map = read_disjuncts(s, v, bmap); map = isl_set_unwrap(isl_map_domain(map)); bmap = NULL; vars_drop(v, v->n - n); if (seen_paren && isl_stream_eat(s, ')')) goto error; return map; error: isl_basic_map_free(bmap); isl_map_free(map); return NULL; } static __isl_give isl_map *read_conjunct(struct isl_stream *s, struct vars *v, __isl_take isl_basic_map *bmap) { isl_map *map; if (isl_stream_eat_if_available(s, '(')) { map = read_disjuncts(s, v, bmap); if (isl_stream_eat(s, ')')) goto error; return map; } if (isl_stream_eat_if_available(s, ISL_TOKEN_EXISTS)) return read_exists(s, v, bmap); if (isl_stream_eat_if_available(s, ISL_TOKEN_TRUE)) return isl_map_from_basic_map(bmap); if (isl_stream_eat_if_available(s, ISL_TOKEN_FALSE)) { isl_dim *dim = isl_basic_map_get_dim(bmap); isl_basic_map_free(bmap); return isl_map_empty(dim); } return read_constraint(s, v, bmap); error: isl_map_free(map); return NULL; } static __isl_give isl_map *read_conjuncts(struct isl_stream *s, struct vars *v, __isl_take isl_basic_map *bmap) { isl_map *map; int negate; negate = isl_stream_eat_if_available(s, ISL_TOKEN_NOT); map = read_conjunct(s, v, isl_basic_map_copy(bmap)); if (negate) { isl_map *t; t = isl_map_from_basic_map(isl_basic_map_copy(bmap)); map = isl_map_subtract(t, map); } while (isl_stream_eat_if_available(s, ISL_TOKEN_AND)) { isl_map *map_i; negate = isl_stream_eat_if_available(s, ISL_TOKEN_NOT); map_i = read_conjunct(s, v, isl_basic_map_copy(bmap)); if (negate) map = isl_map_subtract(map, map_i); else map = isl_map_intersect(map, map_i); } isl_basic_map_free(bmap); return map; } static struct isl_map *read_disjuncts(struct isl_stream *s, struct vars *v, __isl_take isl_basic_map *bmap) { struct isl_map *map; if (isl_stream_next_token_is(s, '}')) { isl_dim *dim = isl_basic_map_get_dim(bmap); isl_basic_map_free(bmap); return isl_map_universe(dim); } map = read_conjuncts(s, v, isl_basic_map_copy(bmap)); while (isl_stream_eat_if_available(s, ISL_TOKEN_OR)) { isl_map *map_i; map_i = read_conjuncts(s, v, isl_basic_map_copy(bmap)); map = isl_map_union(map, map_i); } isl_basic_map_free(bmap); return map; } static int polylib_pos_to_isl_pos(__isl_keep isl_basic_map *bmap, int pos) { if (pos < isl_basic_map_dim(bmap, isl_dim_out)) return 1 + isl_basic_map_dim(bmap, isl_dim_param) + isl_basic_map_dim(bmap, isl_dim_in) + pos; pos -= isl_basic_map_dim(bmap, isl_dim_out); if (pos < isl_basic_map_dim(bmap, isl_dim_in)) return 1 + isl_basic_map_dim(bmap, isl_dim_param) + pos; pos -= isl_basic_map_dim(bmap, isl_dim_in); if (pos < isl_basic_map_dim(bmap, isl_dim_div)) return 1 + isl_basic_map_dim(bmap, isl_dim_param) + isl_basic_map_dim(bmap, isl_dim_in) + isl_basic_map_dim(bmap, isl_dim_out) + pos; pos -= isl_basic_map_dim(bmap, isl_dim_div); if (pos < isl_basic_map_dim(bmap, isl_dim_param)) return 1 + pos; return 0; } static __isl_give isl_basic_map *basic_map_read_polylib_constraint( struct isl_stream *s, __isl_take isl_basic_map *bmap) { int j; struct isl_token *tok; int type; int k; isl_int *c; unsigned nparam; unsigned dim; if (!bmap) return NULL; nparam = isl_basic_map_dim(bmap, isl_dim_param); dim = isl_basic_map_dim(bmap, isl_dim_out); tok = isl_stream_next_token(s); if (!tok || tok->type != ISL_TOKEN_VALUE) { isl_stream_error(s, tok, "expecting coefficient"); if (tok) isl_stream_push_token(s, tok); goto error; } if (!tok->on_new_line) { isl_stream_error(s, tok, "coefficient should appear on new line"); isl_stream_push_token(s, tok); goto error; } type = isl_int_get_si(tok->u.v); isl_token_free(tok); isl_assert(s->ctx, type == 0 || type == 1, goto error); if (type == 0) { k = isl_basic_map_alloc_equality(bmap); c = bmap->eq[k]; } else { k = isl_basic_map_alloc_inequality(bmap); c = bmap->ineq[k]; } if (k < 0) goto error; for (j = 0; j < 1 + isl_basic_map_total_dim(bmap); ++j) { int pos; tok = isl_stream_next_token(s); if (!tok || tok->type != ISL_TOKEN_VALUE) { isl_stream_error(s, tok, "expecting coefficient"); if (tok) isl_stream_push_token(s, tok); goto error; } if (tok->on_new_line) { isl_stream_error(s, tok, "coefficient should not appear on new line"); isl_stream_push_token(s, tok); goto error; } pos = polylib_pos_to_isl_pos(bmap, j); isl_int_set(c[pos], tok->u.v); isl_token_free(tok); } return bmap; error: isl_basic_map_free(bmap); return NULL; } static __isl_give isl_basic_map *basic_map_read_polylib(struct isl_stream *s, int nparam) { int i; struct isl_token *tok; struct isl_token *tok2; int n_row, n_col; int on_new_line; unsigned in = 0, out, local = 0; struct isl_basic_map *bmap = NULL; if (nparam < 0) nparam = 0; tok = isl_stream_next_token(s); if (!tok) { isl_stream_error(s, NULL, "unexpected EOF"); return NULL; } tok2 = isl_stream_next_token(s); if (!tok2) { isl_token_free(tok); 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; isl_token_free(tok2); isl_token_free(tok); isl_assert(s->ctx, !on_new_line, return NULL); isl_assert(s->ctx, n_row >= 0, return NULL); isl_assert(s->ctx, n_col >= 2 + nparam, return NULL); tok = isl_stream_next_token_on_same_line(s); if (tok) { if (tok->type != ISL_TOKEN_VALUE) { isl_stream_error(s, tok, "expecting number of output dimensions"); isl_stream_push_token(s, tok); goto error; } out = isl_int_get_si(tok->u.v); isl_token_free(tok); tok = isl_stream_next_token_on_same_line(s); if (!tok || tok->type != ISL_TOKEN_VALUE) { isl_stream_error(s, tok, "expecting number of input dimensions"); if (tok) isl_stream_push_token(s, tok); goto error; } in = isl_int_get_si(tok->u.v); isl_token_free(tok); tok = isl_stream_next_token_on_same_line(s); if (!tok || tok->type != ISL_TOKEN_VALUE) { isl_stream_error(s, tok, "expecting number of existentials"); if (tok) isl_stream_push_token(s, tok); goto error; } local = isl_int_get_si(tok->u.v); isl_token_free(tok); tok = isl_stream_next_token_on_same_line(s); if (!tok || tok->type != ISL_TOKEN_VALUE) { isl_stream_error(s, tok, "expecting number of parameters"); if (tok) isl_stream_push_token(s, tok); goto error; } nparam = isl_int_get_si(tok->u.v); isl_token_free(tok); if (n_col != 1 + out + in + local + nparam + 1) { isl_stream_error(s, NULL, "dimensions don't match"); goto error; } } else out = n_col - 2 - nparam; bmap = isl_basic_map_alloc(s->ctx, nparam, in, out, local, n_row, n_row); if (!bmap) return NULL; for (i = 0; i < local; ++i) { int k = isl_basic_map_alloc_div(bmap); if (k < 0) goto error; isl_seq_clr(bmap->div[k], 1 + 1 + nparam + in + out + local); } for (i = 0; i < n_row; ++i) bmap = basic_map_read_polylib_constraint(s, bmap); tok = isl_stream_next_token_on_same_line(s); if (tok) { isl_stream_error(s, tok, "unexpected extra token on line"); isl_stream_push_token(s, tok); goto error; } bmap = isl_basic_map_simplify(bmap); bmap = isl_basic_map_finalize(bmap); return bmap; error: isl_basic_map_free(bmap); return NULL; } static struct isl_map *map_read_polylib(struct isl_stream *s, int nparam) { struct isl_token *tok; struct isl_token *tok2; int i, n; struct isl_map *map; tok = isl_stream_next_token(s); if (!tok) { isl_stream_error(s, NULL, "unexpected EOF"); return NULL; } tok2 = isl_stream_next_token_on_same_line(s); 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); isl_assert(s->ctx, n >= 1, return NULL); map = isl_map_from_basic_map(basic_map_read_polylib(s, nparam)); for (i = 1; map && i < n; ++i) map = isl_map_union(map, isl_map_from_basic_map(basic_map_read_polylib(s, nparam))); return map; } static int optional_power(struct isl_stream *s) { int pow; struct isl_token *tok; tok = isl_stream_next_token(s); if (!tok) return 1; if (tok->type != '^') { isl_stream_push_token(s, tok); return 1; } isl_token_free(tok); tok = isl_stream_next_token(s); if (!tok || tok->type != ISL_TOKEN_VALUE) { isl_stream_error(s, tok, "expecting exponent"); if (tok) isl_stream_push_token(s, tok); return 1; } pow = isl_int_get_si(tok->u.v); isl_token_free(tok); 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_qpolynomial *read_factor(struct isl_stream *s, __isl_keep isl_basic_map *bmap, struct vars *v) { struct isl_qpolynomial *qp; struct isl_token *tok; 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) return NULL; if (isl_stream_eat(s, ')')) goto error; pow = optional_power(s); qp = isl_qpolynomial_pow(qp, pow); } else if (tok->type == ISL_TOKEN_VALUE) { struct isl_token *tok2; tok2 = isl_stream_next_token(s); if (tok2 && tok2->type == '/') { isl_token_free(tok2); 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), 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), tok->u.v); } isl_token_free(tok); } else if (tok->type == ISL_TOKEN_INFTY) { isl_token_free(tok); qp = isl_qpolynomial_infty(isl_basic_map_get_dim(bmap)); } else if (tok->type == ISL_TOKEN_NAN) { isl_token_free(tok); qp = isl_qpolynomial_nan(isl_basic_map_get_dim(bmap)); } else if (tok->type == ISL_TOKEN_IDENT) { int n = v->n; int pos = vars_pos(v, tok->u.s, -1); int pow; 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_var_pow(isl_basic_map_get_dim(bmap), pos, pow); } else if (tok->type == '[') { isl_div *div; int pow; isl_stream_push_token(s, tok); div = read_div(s, isl_basic_map_get_dim(bmap), v); pow = optional_power(s); qp = isl_qpolynomial_div_pow(div, 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); } else { isl_stream_error(s, tok, "unexpected isl_token"); isl_stream_push_token(s, tok); return NULL; } if (isl_stream_eat_if_available(s, '*') || isl_stream_next_token_is(s, ISL_TOKEN_IDENT)) { struct isl_qpolynomial *qp2; qp2 = read_factor(s, bmap, v); qp = isl_qpolynomial_mul(qp, qp2); } return qp; error: isl_qpolynomial_free(qp); return NULL; } static __isl_give isl_qpolynomial *read_term(struct isl_stream *s, __isl_keep isl_basic_map *bmap, struct vars *v) { struct isl_token *tok; struct isl_qpolynomial *qp; qp = read_factor(s, bmap, v); for (;;) { tok = next_token(s); if (!tok) return qp; if (tok->type == '+') { struct isl_qpolynomial *qp2; isl_token_free(tok); qp2 = read_factor(s, bmap, v); qp = isl_qpolynomial_add(qp, qp2); } else if (tok->type == '-') { struct isl_qpolynomial *qp2; isl_token_free(tok); qp2 = read_factor(s, bmap, v); qp = isl_qpolynomial_sub(qp, qp2); } else if (tok->type == ISL_TOKEN_VALUE && isl_int_is_neg(tok->u.v)) { struct isl_qpolynomial *qp2; isl_stream_push_token(s, tok); qp2 = read_factor(s, bmap, v); qp = isl_qpolynomial_add(qp, qp2); } else { isl_stream_push_token(s, tok); break; } } return qp; } static __isl_give isl_map *read_optional_disjuncts(struct isl_stream *s, __isl_take isl_basic_map *bmap, 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 == ':' || (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_copy(bmap))); } else isl_stream_push_token(s, tok); isl_basic_map_free(bmap); return map; error: isl_basic_map_free(bmap); return NULL; } static struct isl_obj obj_read_poly(struct isl_stream *s, __isl_take isl_basic_map *bmap, 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; struct isl_set *set; qp = read_term(s, bmap, v); map = read_optional_disjuncts(s, bmap, v); set = isl_map_range(map); pwqp = isl_pw_qpolynomial_alloc(set, qp); vars_drop(v, v->n - n); obj.v = pwqp; return obj; } static struct isl_obj obj_read_poly_or_fold(struct isl_stream *s, __isl_take isl_basic_map *bmap, 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_set *set; if (!isl_stream_eat_if_available(s, ISL_TOKEN_MAX)) return obj_read_poly(s, bmap, v, n); if (isl_stream_eat(s, '(')) goto error; qp = read_term(s, bmap, v); fold = isl_qpolynomial_fold_alloc(isl_fold_max, qp); 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); } if (isl_stream_eat(s, ')')) goto error; map = read_optional_disjuncts(s, bmap, v); set = isl_map_range(map); pwf = isl_pw_qpolynomial_fold_alloc(isl_fold_max, set, fold); vars_drop(v, v->n - n); obj.v = pwf; return obj; error: isl_basic_map_free(bmap); isl_qpolynomial_fold_free(fold); 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) { 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)) bmap = isl_basic_map_set_rational(bmap); if (!next_is_tuple(s)) return obj_read_poly_or_fold(s, bmap, v, n); bmap = read_tuple(s, bmap, isl_dim_in, v); if (!bmap) 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); } bmap = read_tuple(s, bmap, isl_dim_out, v); if (!bmap) goto error; } else { bmap = isl_basic_map_reverse(bmap); if (tok) isl_stream_push_token(s, tok); } map = read_optional_disjuncts(s, bmap, v); vars_drop(v, v->n - n); obj.v = map; return obj; error: isl_basic_map_free(bmap); obj.type = isl_obj_none; return obj; } static struct isl_obj to_union(isl_ctx *ctx, struct isl_obj obj) { if (obj.type == isl_obj_map) { obj.v = isl_union_map_from_map(obj.v); obj.type = isl_obj_union_map; } else if (obj.type == isl_obj_set) { obj.v = isl_union_set_from_set(obj.v); obj.type = isl_obj_union_set; } else if (obj.type == isl_obj_pw_qpolynomial) { obj.v = isl_union_pw_qpolynomial_from_pw_qpolynomial(obj.v); obj.type = isl_obj_union_pw_qpolynomial; } else if (obj.type == isl_obj_pw_qpolynomial_fold) { obj.v = isl_union_pw_qpolynomial_fold_from_pw_qpolynomial_fold(obj.v); obj.type = isl_obj_union_pw_qpolynomial_fold; } else isl_assert(ctx, 0, goto error); return obj; error: obj.type->free(obj.v); obj.type = isl_obj_none; return obj; } static struct isl_obj obj_add(struct isl_ctx *ctx, struct isl_obj obj1, struct isl_obj obj2) { if (obj1.type == isl_obj_set && obj2.type == isl_obj_union_set) obj1 = to_union(ctx, obj1); if (obj1.type == isl_obj_union_set && obj2.type == isl_obj_set) obj2 = to_union(ctx, obj2); if (obj1.type == isl_obj_map && obj2.type == isl_obj_union_map) obj1 = to_union(ctx, obj1); if (obj1.type == isl_obj_union_map && obj2.type == isl_obj_map) obj2 = to_union(ctx, obj2); if (obj1.type == isl_obj_pw_qpolynomial && obj2.type == isl_obj_union_pw_qpolynomial) obj1 = to_union(ctx, obj1); if (obj1.type == isl_obj_union_pw_qpolynomial && obj2.type == isl_obj_pw_qpolynomial) obj2 = to_union(ctx, obj2); if (obj1.type == isl_obj_pw_qpolynomial_fold && obj2.type == isl_obj_union_pw_qpolynomial_fold) obj1 = to_union(ctx, obj1); if (obj1.type == isl_obj_union_pw_qpolynomial_fold && 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)) { 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)) { 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)) { 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)) { obj1 = to_union(ctx, obj1); obj2 = to_union(ctx, obj2); } obj1.v = obj1.type->add(obj1.v, obj2.v); return obj1; error: obj1.type->free(obj1.v); obj2.type->free(obj2.v); obj1.type = isl_obj_none; obj1.v = NULL; return obj1; } static struct isl_obj obj_read(struct isl_stream *s, int nparam) { isl_basic_map *bmap = NULL; struct isl_token *tok; struct vars *v = NULL; struct isl_obj obj = { isl_obj_set, NULL }; 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) goto error; if (isl_map_dim(map, isl_dim_in) > 0) obj.type = isl_obj_map; obj.v = map; return obj; } v = vars_new(s->ctx); if (!v) { isl_stream_push_token(s, tok); goto error; } bmap = isl_basic_map_alloc(s->ctx, 0, 0, 0, 0, 0, 0); if (tok->type == '[') { isl_stream_push_token(s, tok); bmap = read_tuple(s, bmap, isl_dim_param, v); if (!bmap) goto error; if (nparam >= 0) isl_assert(s->ctx, nparam == v->n, goto error); tok = isl_stream_next_token(s); if (!tok || tok->type != ISL_TOKEN_TO) { isl_stream_error(s, tok, "expecting '->'"); if (tok) isl_stream_push_token(s, tok); goto error; } isl_token_free(tok); tok = isl_stream_next_token(s); } else if (nparam > 0) bmap = isl_basic_map_add(bmap, isl_dim_param, nparam); if (!tok || tok->type != '{') { isl_stream_error(s, tok, "expecting '{'"); if (tok) isl_stream_push_token(s, tok); goto error; } isl_token_free(tok); tok = isl_stream_next_token(s); if (!tok) ; else if (tok->type == ISL_TOKEN_IDENT && !strcmp(tok->u.s, "Sym")) { isl_token_free(tok); if (isl_stream_eat(s, '=')) goto error; bmap = read_tuple(s, bmap, isl_dim_param, v); if (!bmap) 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)); isl_token_free(tok); goto done; } else isl_stream_push_token(s, tok); for (;;) { struct isl_obj o; tok = NULL; o = obj_read_body(s, isl_basic_map_copy(bmap), v); if (o.type == isl_obj_none || !o.v) goto error; if (!obj.v) obj = o; else { obj = obj_add(s->ctx, obj, o); if (obj.type == isl_obj_none || !obj.v) goto error; } tok = isl_stream_next_token(s); 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 == '}') { isl_token_free(tok); } else { isl_stream_error(s, tok, "unexpected isl_token"); if (tok) isl_token_free(tok); goto error; } done: vars_free(v); isl_basic_map_free(bmap); return obj; error: isl_basic_map_free(bmap); obj.type->free(obj.v); if (v) vars_free(v); obj.v = NULL; return obj; } struct isl_obj isl_stream_read_obj(struct isl_stream *s) { return obj_read(s, -1); } __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) isl_assert(s->ctx, obj.type == isl_obj_map || obj.type == isl_obj_set, goto error); return obj.v; error: obj.type->free(obj.v); return NULL; } __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) isl_assert(s->ctx, obj.type == isl_obj_set, goto error); return obj.v; error: obj.type->free(obj.v); return NULL; } __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) { obj.type = isl_obj_union_map; obj.v = isl_union_map_from_map(obj.v); } if (obj.type == isl_obj_set) { obj.type = isl_obj_union_set; obj.v = isl_union_set_from_set(obj.v); } if (obj.v) isl_assert(s->ctx, obj.type == isl_obj_union_map || obj.type == isl_obj_union_set, goto error); return obj.v; error: obj.type->free(obj.v); return NULL; } __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) { obj.type = isl_obj_union_set; obj.v = isl_union_set_from_set(obj.v); } if (obj.v) isl_assert(s->ctx, obj.type == isl_obj_union_set, goto error); return obj.v; error: obj.type->free(obj.v); return NULL; } static struct isl_basic_map *basic_map_read(struct isl_stream *s, int nparam) { struct isl_obj obj; struct isl_map *map; struct isl_basic_map *bmap; obj = obj_read(s, nparam); map = obj.v; if (!map) return NULL; isl_assert(map->ctx, map->n <= 1, goto error); if (map->n == 0) bmap = isl_basic_map_empty_like_map(map); else bmap = isl_basic_map_copy(map->p[0]); isl_map_free(map); return bmap; error: isl_map_free(map); return NULL; } __isl_give isl_basic_map *isl_basic_map_read_from_file(isl_ctx *ctx, FILE *input, int nparam) { struct isl_basic_map *bmap; struct isl_stream *s = isl_stream_new_file(ctx, input); if (!s) return NULL; bmap = basic_map_read(s, nparam); isl_stream_free(s); return bmap; } __isl_give isl_basic_set *isl_basic_set_read_from_file(isl_ctx *ctx, FILE *input, int nparam) { struct isl_basic_map *bmap; bmap = isl_basic_map_read_from_file(ctx, input, nparam); if (!bmap) return NULL; isl_assert(ctx, isl_basic_map_n_in(bmap) == 0, goto error); return (struct isl_basic_set *)bmap; error: isl_basic_map_free(bmap); return NULL; } struct isl_basic_map *isl_basic_map_read_from_str(struct isl_ctx *ctx, const char *str, int nparam) { struct isl_basic_map *bmap; struct isl_stream *s = isl_stream_new_str(ctx, str); if (!s) return NULL; bmap = basic_map_read(s, nparam); isl_stream_free(s); return bmap; } struct isl_basic_set *isl_basic_set_read_from_str(struct isl_ctx *ctx, const char *str, int nparam) { struct isl_basic_map *bmap; bmap = isl_basic_map_read_from_str(ctx, str, nparam); if (!bmap) return NULL; isl_assert(ctx, isl_basic_map_n_in(bmap) == 0, goto error); return (struct isl_basic_set *)bmap; error: isl_basic_map_free(bmap); return NULL; } __isl_give isl_map *isl_map_read_from_file(struct isl_ctx *ctx, FILE *input, int nparam) { struct isl_map *map; struct isl_stream *s = isl_stream_new_file(ctx, input); if (!s) return NULL; map = isl_stream_read_map(s, nparam); isl_stream_free(s); return map; } __isl_give isl_map *isl_map_read_from_str(struct isl_ctx *ctx, const char *str, int nparam) { struct isl_map *map; struct isl_stream *s = isl_stream_new_str(ctx, str); if (!s) return NULL; map = isl_stream_read_map(s, nparam); isl_stream_free(s); return map; } __isl_give isl_set *isl_set_read_from_file(struct isl_ctx *ctx, FILE *input, int nparam) { struct isl_map *map; map = isl_map_read_from_file(ctx, input, nparam); if (!map) return NULL; isl_assert(ctx, isl_map_n_in(map) == 0, goto error); return (struct isl_set *)map; error: isl_map_free(map); return NULL; } struct isl_set *isl_set_read_from_str(struct isl_ctx *ctx, const char *str, int nparam) { struct isl_map *map; map = isl_map_read_from_str(ctx, str, nparam); if (!map) return NULL; isl_assert(ctx, isl_map_n_in(map) == 0, goto error); return (struct isl_set *)map; error: isl_map_free(map); 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) { isl_union_map *umap; struct isl_stream *s = isl_stream_new_str(ctx, str); if (!s) return NULL; umap = isl_stream_read_union_map(s); isl_stream_free(s); return umap; } __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_file(ctx, input); if (!s) return NULL; uset = isl_stream_read_union_set(s); isl_stream_free(s); return uset; } __isl_give isl_union_set *isl_union_set_read_from_str(struct isl_ctx *ctx, const char *str) { 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 __isl_give isl_vec *isl_vec_read_polylib(struct isl_stream *s) { struct isl_vec *vec = NULL; struct isl_token *tok; unsigned size; int j; tok = isl_stream_next_token(s); if (!tok || tok->type != ISL_TOKEN_VALUE) { isl_stream_error(s, tok, "expecting vector length"); goto error; } size = isl_int_get_si(tok->u.v); isl_token_free(tok); vec = isl_vec_alloc(s->ctx, size); for (j = 0; j < size; ++j) { 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; } static __isl_give isl_vec *vec_read(struct isl_stream *s) { 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) isl_assert(s->ctx, obj.type == isl_obj_pw_qpolynomial, goto error); return obj.v; error: obj.type->free(obj.v); return NULL; } __isl_give isl_pw_qpolynomial *isl_pw_qpolynomial_read_from_str(isl_ctx *ctx, const char *str) { isl_pw_qpolynomial *pwqp; struct isl_stream *s = isl_stream_new_str(ctx, str); if (!s) return NULL; pwqp = isl_stream_read_pw_qpolynomial(s); isl_stream_free(s); return pwqp; }