/* dags.c DAG representation of basic blocks Copyright (C) 2012 Bill Currie Author: Bill Currie Date: 2012/05/08 This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program; if not, write to: Free Software Foundation, Inc. 59 Temple Place - Suite 330 Boston, MA 02111-1307, USA */ #ifdef HAVE_CONFIG_H # include "config.h" #endif #ifdef HAVE_STRING_H # include #endif #ifdef HAVE_STRINGS_H # include #endif #include #include #include "qfalloca.h" #include "QF/alloc.h" #include "QF/dstring.h" #include "QF/mathlib.h" #include "QF/set.h" #include "dags.h" #include "diagnostic.h" #include "flow.h" #include "function.h" #include "qfcc.h" #include "statements.h" #include "strpool.h" #include "symtab.h" #include "type.h" #include "value.h" static daglabel_t *labels_freelist; static dagnode_t *nodes_freelist; static dag_t *dags_freelist; static daglabel_t *daglabel_chain; static void flush_daglabels (void) { while (daglabel_chain) { operand_t *op; if ((op = daglabel_chain->op)) { if (op->op_type == op_def) op->o.def->daglabel = 0; else if (op->op_type == op_temp) op->o.tempop.daglabel = 0; else if (op->op_type == op_value) op->o.value->daglabel = 0; else if (op->op_type == op_label) op->o.label->daglabel = 0; else internal_error (0, "unexpected operand type"); } daglabel_chain = daglabel_chain->daglabel_chain; } } static dag_t * new_dag (void) { dag_t *dag; ALLOC (256, dag_t, dags, dag); return dag; } static daglabel_t * new_label (dag_t *dag) { daglabel_t *label; ALLOC (256, daglabel_t, labels, label); label->daglabel_chain = daglabel_chain; daglabel_chain = label; label->number = dag->num_labels; dag->labels[dag->num_labels++] = label; return label; } static dagnode_t * new_node (dag_t *dag) { dagnode_t *node; ALLOC (256, dagnode_t, nodes, node); node->parents = set_new (); node->edges = set_new (); node->identifiers = set_new (); node->number = dag->num_nodes; set_add (dag->roots, node->number); // nodes start out as root nodes dag->nodes[dag->num_nodes++] = node; return node; } const char * daglabel_string (daglabel_t *label) { static dstring_t *str; if ((label->opcode && label->op) || (!label->opcode && !label->op)) return "bad label"; if (label->opcode) return label->opcode; if (!str) str = dstring_new (); // operand_string might use quote_string, which returns a pointer to // a static variable. dstring_copystr (str, operand_string (label->op)); return quote_string (str->str); } static daglabel_t * opcode_label (dag_t *dag, const char *opcode, expr_t *expr) { daglabel_t *label; label = new_label (dag); label->opcode = opcode; label->expr = expr; return label; } static daglabel_t * operand_label (dag_t *dag, operand_t *op) { def_t *def = 0; ex_value_t *val = 0; daglabel_t *label; if (!op) return 0; if (op->op_type == op_temp) { //while (op->o.tempop.alias) // op = op->o.tempop.alias; if (op->o.tempop.daglabel) return op->o.tempop.daglabel; label = new_label (dag); label->op = op; op->o.tempop.daglabel = label; } else if (op->op_type == op_def) { def = op->o.def; if (def->daglabel) return def->daglabel; label = new_label (dag); label->op = op; def->daglabel = label; } else if (op->op_type == op_value) { val = op->o.value; if (val->daglabel) return val->daglabel; label = new_label (dag); label->op = op; val->daglabel = label; } else if (op->op_type == op_label) { if (op->o.label->daglabel) return op->o.label->daglabel; label = new_label (dag); label->op = op; op->o.label->daglabel = label; } else { internal_error (0, "unexpected operand type: %d", op->op_type); } return label; } static dagnode_t * leaf_node (dag_t *dag, operand_t *op, expr_t *expr) { daglabel_t *label; dagnode_t *node; if (!op) return 0; node = new_node (dag); node->tl = op->type; label = operand_label (dag, op); label->dagnode = node; label->expr = expr; node->label = label; return node; } static __attribute__((pure)) dagnode_t * dag_node (operand_t *op) { def_t *def; dagnode_t *node = 0; if (!op) return 0; if (op->op_type == op_def) { def = op->o.def; if (def->daglabel) node = def->daglabel->dagnode; } else if (op->op_type == op_temp) { while (op->o.tempop.alias) op = op->o.tempop.alias; if (op->o.tempop.daglabel) node = op->o.tempop.daglabel->dagnode; } else if (op->op_type == op_value) { if (op->o.value->daglabel) node = op->o.value->daglabel->dagnode; } else if (op->op_type == op_label) { if (op->o.label->daglabel) node = op->o.label->daglabel->dagnode; } if (node && node->killed) node = 0; return node; } static void dag_make_children (dag_t *dag, statement_t *s, operand_t *operands[4], dagnode_t *children[3]) { int i; flow_analyze_statement (s, 0, 0, 0, operands); for (i = 0; i < 3; i++) { if (!(children[i] = dag_node (operands[i + 1]))) children[i] = leaf_node (dag, operands[i + 1], s->expr); } } static int dagnode_deref_match (const dagnode_t *n, const daglabel_t *op, dagnode_t *children[3]) { int i; for (i = 0; i < 2; i++) { if (n->children[i] != children[i + 1]) return 0; } return 1; } static int dagnode_match (const dagnode_t *n, const daglabel_t *op, dagnode_t *children[3]) { int i; if (n->killed) return 0; if (!strcmp (op->opcode, ".") && n->label->opcode && !strcmp (n->label->opcode, ".=")) return dagnode_deref_match (n, op, children); if (n->label->opcode != op->opcode) return 0; for (i = 0; i < 3; i++) { if (n->children[i] != children[i]) return 0; } return 1; } static dagnode_t * dagnode_search (dag_t *dag, daglabel_t *op, dagnode_t *children[3]) { int i; for (i = 0; i < dag->num_nodes; i++) if (dagnode_match (dag->nodes[i], op, children)) return dag->nodes[i]; return 0; } static void dagnode_add_children (dag_t *dag, dagnode_t *n, operand_t *operands[4], dagnode_t *children[3]) { int i; for (i = 0; i < 3; i++) { dagnode_t *child = children[i]; if ((n->children[i] = child)) { n->types[i] = operands[i + 1]->type; set_remove (dag->roots, child->number); set_add (child->parents, n->number); } } } static int dagnode_tempop_set_edges_visit (tempop_t *tempop, void *_node) { dagnode_t *node = (dagnode_t *) _node; daglabel_t *label; label = tempop->daglabel; if (label && label->dagnode) { set_add (node->edges, label->dagnode->number); label->live = 1; } return 0; } static int dagnode_def_set_edges_visit (def_t *def, void *_node) { dagnode_t *node = (dagnode_t *) _node; daglabel_t *label; label = def->daglabel; if (label && label->dagnode) { set_add (node->edges, label->dagnode->number); label->live = 1; } return 0; } static int dag_find_node (def_t *def, void *_daglabel) { daglabel_t **daglabel = (daglabel_t **) _daglabel; if (def->daglabel && def->daglabel->dagnode) { *daglabel = def->daglabel; return def->daglabel->dagnode->number + 1; // ensure never 0 } return 0; } static void dagnode_set_edges (dag_t *dag, dagnode_t *n) { int i; for (i = 0; i < 3; i++) { dagnode_t *child = n->children[i]; if (child && n != child) set_add (n->edges, child->number); } if (n->type == st_flow) return; for (i = 0; i < 3; i++) { dagnode_t *child = n->children[i]; if (child) { if (child->label->op) { dagnode_t *node = child->label->dagnode; operand_t *op = child->label->op; if (node != child && node != n) { set_add (node->edges, n->number); } if (op->op_type == op_value && op->o.value->lltype == ev_pointer && op->o.value->v.pointer.def) { def_visit_all (op->o.value->v.pointer.def, 1, dagnode_def_set_edges_visit, n); } if (op->op_type == op_def && (op->o.def->alias || op->o.def->alias_defs)) { def_visit_all (op->o.def, 1, dagnode_def_set_edges_visit, n); } if (op->op_type == op_temp) { tempop_visit_all (&op->o.tempop, 1, dagnode_tempop_set_edges_visit, n); } } if (n != child) set_add (n->edges, child->number); } } if (n->type == st_func) { const char *num_params = 0; int first_param = 0; flowvar_t **flowvars = dag->flownode->graph->func->vars; if (!strncmp (n->label->opcode, "label->opcode + 6; first_param = 2; } else if (!strncmp (n->label->opcode, "label->opcode + 5; } else if (!strcmp (n->label->opcode, "")) { daglabel_t *label = n->children[0]->label; if (!label->op) { set_iter_t *lab_i; for (lab_i = set_first (n->children[0]->identifiers); lab_i; lab_i = set_next (lab_i)) { label = dag->labels[lab_i->element]; } } label->live = 1; } if (num_params && isdigit (*num_params)) { for (i = first_param; i < *num_params - '0'; i++) { flowvar_t *var = flowvars[i + 1]; def_t *param_def = var->op->o.def; daglabel_t *daglabel; int param_node; // FIXME hopefully only the one alias :P param_node = def_visit_all (param_def, 0, dag_find_node, &daglabel); if (!param_node) { bug (0, ".param_%d not set for %s", i, n->label->opcode); continue; } daglabel->live = 1; set_add (n->edges, param_node - 1); } } } } static int op_is_identifier (operand_t *op) { if (op->op_type == op_label) return 0; if (op->op_type == op_value) return 0; if (op->op_type == op_temp) return 1; if (op->op_type != op_def) return 0; return 1; } static int dag_tempop_kill_aliases_visit (tempop_t *tempop, void *_l) { daglabel_t *l = (daglabel_t *) _l; dagnode_t *node = l->dagnode;; daglabel_t *label; if (tempop == &l->op->o.tempop) return 0; label = tempop->daglabel; if (label && label->dagnode) { set_add (node->edges, label->dagnode->number); set_remove (node->edges, node->number); label->dagnode->killed = 1; } return 0; } static int dag_def_kill_aliases_visit (def_t *def, void *_l) { daglabel_t *l = (daglabel_t *) _l; dagnode_t *node = l->dagnode;; daglabel_t *label; if (def == l->op->o.def) return 0; label = def->daglabel; if (label && label->dagnode) { set_add (node->edges, label->dagnode->number); set_remove (node->edges, node->number); label->dagnode->killed = 1; } return 0; } static void dag_kill_aliases (daglabel_t *l) { operand_t *op = l->op; if (op->op_type == op_temp) { tempop_visit_all (&op->o.tempop, 1, dag_tempop_kill_aliases_visit, l); } else if (op->op_type == op_def) { if (op->o.def->alias || op->o.def->alias_defs) { def_visit_all (op->o.def, 1, dag_def_kill_aliases_visit, l); } } else { internal_error (0, "rvalue assignment?"); } } static int dag_tempop_live_aliases (tempop_t *tempop, void *_t) { if (tempop != _t && tempop->daglabel) tempop->daglabel->live = 1; return 0; } static int dag_def_live_aliases (def_t *def, void *_d) { if (def != _d && def->daglabel) def->daglabel->live = 1; return 0; } static void dagnode_attach_label (dagnode_t *n, daglabel_t *l) { if (!l->op) internal_error (0, "attempt to attach operator label to dagnode " "identifiers"); if (!op_is_identifier (l->op)) internal_error (0, "attempt to attach non-identifer label to dagnode " "identifiers"); if (l->dagnode) { // if the node is a leaf, then kill its value so no attempt is made // to reuse it. if (l->dagnode->type == st_none) { l->dagnode->killed = 1; } dagnode_t *node = l->dagnode; set_union (n->edges, node->parents); set_remove (n->edges, n->number); set_remove (node->identifiers, l->number); } l->live = 0; // remove live forcing on assignment l->dagnode = n; set_add (n->identifiers, l->number); dag_kill_aliases (l); if (n->label->op) { // FIXME it would be better to propogate the aliasing if (n->label->op->op_type == op_temp) { tempop_visit_all (&n->label->op->o.tempop, 1, dag_tempop_live_aliases, &n->label->op->o.tempop); } if (n->label->op->op_type == op_def && (n->label->op->o.def->alias || n->label->op->o.def->alias_defs)) { def_visit_all (n->label->op->o.def, 1, dag_def_live_aliases, n->label->op->o.def); } } } static int dag_tempop_alias_live (tempop_t *tempop, void *_live_vars) { set_t *live_vars = (set_t *) _live_vars; if (!tempop->flowvar) return 0; return set_is_member (live_vars, tempop->flowvar->number); } static int dag_def_alias_live (def_t *def, void *_live_vars) { set_t *live_vars = (set_t *) _live_vars; if (!def->flowvar) return 0; return set_is_member (live_vars, def->flowvar->number); } static void dag_remove_dead_vars (dag_t *dag, set_t *live_vars) { int i; for (i = 0; i < dag->num_labels; i++) { daglabel_t *l = dag->labels[i]; flowvar_t *var; if (!l->op || !l->dagnode) continue; if (l->live) // label forced live (probably via an alias) continue; var = flow_get_var (l->op); if (!var) continue; if (set_is_member (dag->flownode->global_vars, var->number)) continue; if (l->op->op_type == op_def && def_visit_all (l->op->o.def, 1, dag_def_alias_live, live_vars)) continue; if (l->op->op_type == op_temp && tempop_visit_all (&l->op->o.tempop, 1, dag_tempop_alias_live, live_vars)) continue; if (!set_is_member (live_vars, var->number)) set_remove (l->dagnode->identifiers, l->number); } } static void dag_sort_visit (dag_t *dag, set_t *visited, int node_index, int *topo) { set_iter_t *node_iter; dagnode_t *node; if (set_is_member (visited, node_index)) return; set_add (visited, node_index); node = dag->nodes[node_index]; for (node_iter = set_first (node->edges); node_iter; node_iter = set_next (node_iter)) dag_sort_visit (dag, visited, node_iter->element, topo); node->topo = *topo; dag->topo[(*topo)++] = node_index; } static void dag_sort_nodes (dag_t *dag) { set_iter_t *root_iter; set_t *visited = set_new (); int topo = 0; int *tmp_topo; if (dag->topo) free (dag->topo); dag->topo = alloca (dag->num_nodes * sizeof (int)); for (root_iter = set_first (dag->roots); root_iter; root_iter = set_next (root_iter)) dag_sort_visit (dag, visited, root_iter->element, &topo); set_delete (visited); tmp_topo = malloc (topo * sizeof (int)); memcpy (tmp_topo, dag->topo, topo * sizeof (int)); dag->topo = tmp_topo; dag->num_topo = topo; } static void dag_make_var_live (set_t *live_vars, operand_t *op) { flowvar_t *var = 0; if (op) var = flow_get_var (op); if (var) set_add (live_vars, var->number); } static void dag_kill_nodes (dag_t *dag, dagnode_t *n) { int i; dagnode_t *node; for (i = 0; i < dag->num_nodes; i++) { node = dag->nodes[i]; if (node == n->children[1]) { // assume the pointer does not point to itself. This should be // reasonable because without casting, only a void pointer can // point to itself (the required type is recursive). continue; } if (node->label->op && !op_is_identifier (node->label->op)) { // While constants in the Quake VM can be changed via a pointer, // doing so would cause much more fun than a simple // mis-optimization would, so consider them safe from pointer // operations. continue; } node->killed = 1; } n->killed = 0; } dag_t * dag_create (flownode_t *flownode) { dag_t *dag; sblock_t *block = flownode->sblock; statement_t *s; dagnode_t **nodes; daglabel_t **labels; int num_statements = 0; set_t *live_vars = set_new (); flush_daglabels (); // count the number of statements so the number of nodes and labels can be // guessed for (s = block->statements; s; s = s->next) num_statements++; set_assign (live_vars, flownode->live_vars.out); dag = new_dag (); dag->flownode = flownode; // at most 4 per statement dag->nodes = alloca (num_statements * 4 * sizeof (dagnode_t)); // at most 4 per statement, + return + params dag->labels = alloca (num_statements * (4 + 1 + 8) * sizeof (daglabel_t)); dag->roots = set_new (); for (s = block->statements; s; s = s->next) { operand_t *operands[4]; dagnode_t *n = 0, *children[3] = {0, 0, 0}; daglabel_t *op, *lx; int i; dag_make_children (dag, s, operands, children); if (s->type == st_flow) for (i = 0; i < 3; i++) if (children[i]) dag_make_var_live (live_vars, operands[i]); op = opcode_label (dag, s->opcode, s->expr); n = children[0]; if (s->type != st_assign && !(n = dagnode_search (dag, op, children))) { n = new_node (dag); n->type = s->type; n->label = op; dagnode_add_children (dag, n, operands, children); dagnode_set_edges (dag, n); } lx = operand_label (dag, operands[0]); if (lx && lx->dagnode != n) { lx->expr = s->expr; dagnode_attach_label (n, lx); } if (n->type == st_ptrassign) dag_kill_nodes (dag, n); } nodes = malloc (dag->num_nodes * sizeof (dagnode_t *)); memcpy (nodes, dag->nodes, dag->num_nodes * sizeof (dagnode_t *)); dag->nodes = nodes; labels = malloc (dag->num_labels * sizeof (daglabel_t *)); memcpy (labels, dag->labels, dag->num_labels * sizeof (daglabel_t *)); dag->labels = labels; dag_remove_dead_vars (dag, live_vars); dag_sort_nodes (dag); set_delete (live_vars); return dag; } static statement_t * build_statement (const char *opcode, operand_t **operands, expr_t *expr) { int i; operand_t *op; statement_t *st = new_statement (st_none, opcode, expr); for (i = 0; i < 3; i++) { if ((op = operands[i])) { while (op->op_type == op_alias) op = op->o.alias; if (op->op_type == op_temp) { while (op->o.tempop.alias) op = op->o.tempop.alias; op->o.tempop.users++; } } } st->opa = operands[0]; st->opb = operands[1]; st->opc = operands[2]; return st; } #if 0 static void dag_calc_node_costs (dagnode_t *dagnode) { int i; for (i = 0; i < 3; i++) if (dagnode->children[i]) dag_calc_node_costs (dagnode->children[i]); // if dagnode->a is null, then this is a leaf (as b and c are guaranted to // be null) if (!dagnode->children[0]) { // Because qc vm statements don't mix source and destination operands, // leaves never need temporary variables. dagnode->cost = 0; } else { int different = 0; // a non-leaf is guaranteed to have a valid first child dagnode->cost = dagnode->children[0]->cost; for (i = 1; i < 3; i++) { if (dagnode->children[i] && dagnode->children[i]->cost != dagnode->cost) { dagnode->cost = max (dagnode->cost, dagnode->children[i]->cost); different = 1; } } if (!different) dagnode->cost += 1; } } #endif static operand_t * fix_op_type (operand_t *op, etype_t type) { if (op && op->op_type != op_label && op->type != type) op = alias_operand (type, op); return op; } static operand_t * make_operand (dag_t *dag, sblock_t *block, const dagnode_t *dagnode, int index) { operand_t *op; op = dagnode->children[index]->value; op = fix_op_type (op, dagnode->types[index]); return op; } static operand_t * generate_moves (dag_t *dag, sblock_t *block, dagnode_t *dagnode) { set_iter_t *var_iter; daglabel_t *var; operand_t *operands[3] = {0, 0, 0}; statement_t *st; operand_t *dst; operands[0] = make_operand (dag, block, dagnode, 0); operands[1] = make_operand (dag, block, dagnode, 1); dst = operands[0]; for (var_iter = set_first (dagnode->identifiers); var_iter; var_iter = set_next (var_iter)) { var = dag->labels[var_iter->element]; operands[2] = var->op; dst = operands[2]; st = build_statement ("", operands, var->expr); sblock_add_statement (block, st); } return dst; } static operand_t * generate_moveps (dag_t *dag, sblock_t *block, dagnode_t *dagnode) { set_iter_t *var_iter; daglabel_t *var; operand_t *operands[3] = {0, 0, 0}; statement_t *st; operand_t *dst = 0; type_t *type; operands[0] = make_operand (dag, block, dagnode, 0); operands[1] = make_operand (dag, block, dagnode, 1); for (var_iter = set_first (dagnode->identifiers); var_iter; var_iter = set_next (var_iter)) { var = dag->labels[var_iter->element]; dst = var->op; type = dst->o.def->type; operands[2] = value_operand (new_pointer_val (0, type, dst->o.def)); st = build_statement ("", operands, var->expr); sblock_add_statement (block, st); } return dst; } static operand_t * generate_assignments (dag_t *dag, sblock_t *block, operand_t *src, set_iter_t *var_iter, etype_t type) { statement_t *st; operand_t *dst = 0; operand_t *operands[3] = {0, 0, 0}; daglabel_t *var; operands[0] = fix_op_type (src, type); for ( ; var_iter; var_iter = set_next (var_iter)) { var = dag->labels[var_iter->element]; operands[1] = fix_op_type (var->op, type); if (!dst) dst = operands[1]; st = build_statement ("=", operands, var->expr); sblock_add_statement (block, st); } return dst; } static void dag_gencode (dag_t *dag, sblock_t *block, dagnode_t *dagnode) { operand_t *operands[3] = {0, 0, 0}; operand_t *dst = 0; statement_t *st; set_iter_t *var_iter; int i; etype_t type; switch (dagnode->type) { case st_none: if (!dagnode->label->op) internal_error (0, "non-leaf label in leaf node"); dst = dagnode->label->op; if ((var_iter = set_first (dagnode->identifiers))) { type = dst->type; dst = generate_assignments (dag, block, dst, var_iter, type); } break; case st_expr: operands[0] = make_operand (dag, block, dagnode, 0); if (dagnode->children[1]) operands[1] = make_operand (dag, block, dagnode, 1); type = low_level_type (get_type (dagnode->label->expr)); if (!(var_iter = set_first (dagnode->identifiers))) { operands[2] = temp_operand (get_type (dagnode->label->expr)); } else { daglabel_t *var = dag->labels[var_iter->element]; operands[2] = fix_op_type (var->op, type); var_iter = set_next (var_iter); } dst = operands[2]; st = build_statement (dagnode->label->opcode, operands, dagnode->label->expr); sblock_add_statement (block, st); generate_assignments (dag, block, operands[2], var_iter, type); break; case st_assign: internal_error (0, "unexpected assignment node"); case st_ptrassign: operands[0] = make_operand (dag, block, dagnode, 0); operands[1] = make_operand (dag, block, dagnode, 1); if (dagnode->children[2]) operands[2] = make_operand (dag, block, dagnode, 2); st = build_statement (dagnode->label->opcode, operands, dagnode->label->expr); sblock_add_statement (block, st); // the source location is suitable for use in other nodes dst = operands[0]; break; case st_move: if (!strcmp (dagnode->label->opcode, "")) { dst = generate_moves (dag, block, dagnode); break; } if (!strcmp (dagnode->label->opcode, "") && !dagnode->children[2]) { dst = generate_moveps (dag, block, dagnode); break; } //fall through case st_state: case st_func: for (i = 0; i < 3; i++) if (dagnode->children[i]) operands[i] = make_operand (dag, block, dagnode, i); st = build_statement (dagnode->label->opcode, operands, dagnode->label->expr); sblock_add_statement (block, st); break; case st_flow: operands[0] = make_operand (dag, block, dagnode, 0); if (dagnode->children[1]) operands[1] = make_operand (dag, block, dagnode, 1); st = build_statement (dagnode->label->opcode, operands, dagnode->label->expr); sblock_add_statement (block, st); break; } dagnode->value = dst; } void dag_remove_dead_nodes (dag_t *dag) { int added_root; set_iter_t *root_i, *child_i; dagnode_t *node, *child; do { added_root = 0; for (root_i = set_first (dag->roots); root_i; root_i = set_next (root_i)) { node = dag->nodes[root_i->element]; // only st_none (leaf nodes), st_expr and st_move can become // dead nodes (no live vars attached). if (node->type != st_none && node->type != st_expr && node->type != st_move) continue; if (!set_is_empty (node->identifiers)) continue; // MOVEP with a variable destination pointer is never dead if (node->type == st_move && node->children[2]) continue; set_remove (dag->roots, node->number); for (child_i = set_first (node->edges); child_i; child_i = set_next (child_i)) { child = dag->nodes[child_i->element]; if (!set_is_member (child->parents, node->number)) continue; // not really a child (dependency edge) set_remove (child->parents, node->number); if (set_is_empty (child->parents)) { set_add (dag->roots, child->number); added_root = 1; } } } } while (added_root); dag_sort_nodes (dag); } void dag_generate (dag_t *dag, sblock_t *block) { int i; for (i = 0; i < dag->num_topo; i++) dag_gencode (dag, block, dag->nodes[dag->topo[i]]); }