/**
* Author: Daniel Grund
- * Date: 17.05.2005
+ * Date: 28.02.2006
* Copyright: (c) Universitaet Karlsruhe
* Licence: This file protected by GPL - GNU GENERAL PUBLIC LICENSE.
+ *
+ * Common stuff used by all ILP fomulations.
+ *
*/
-#ifdef HAVE_CONFIG_H
-#include "config.h"
-#endif
-#ifdef HAVE_ALLOCA_H
-#include <alloca.h>
-#endif
-#ifdef HAVE_MALLOC_H
-#include <malloc.h>
-#endif
-
-#include "irprog.h"
-
-#include "lpp.h"
-#include "lpp_local.h"
-#include "lpp_remote.h"
-#include "xmalloc.h"
-#include "becopyopt.h"
-#include "becopystat.h"
-
-#undef DUMP_MPS
-#define DEBUG_LVL SET_LEVEL_1
-static firm_dbg_module_t *dbg = NULL;
-
-#define EPSILON 0.00001
-#define SLOTS_LIVING 32
-
-/**
- * Represents the _costs_ if node n and m have different colors.
- * Must be >=0.
- **/
-#define get_weight(n,m) 1
-
-typedef struct _simpl_t {
- struct list_head chain;
- if_node_t *ifn;
-} simpl_t;
-
-typedef struct _problem_instance_t {
- const copy_opt_t *co; /** the copy_opt problem */
- /* problem size reduction removing simple nodes */
- struct list_head simplicials; /**< holds all simpl_t's in right order to color*/
- pset *removed; /**< holds all removed simplicial irns */
- /* lp problem */
- lpp_t *dilp; /**< problem formulation directly as milp */
- /* overhead stuff */
- lpp_t *curr_lp; /**< points to the problem currently used */
- int cst_counter, last_x_var;
- char buf[32];
- int all_simplicial;
-} problem_instance_t;
-
-#define is_removed(irn) pset_find_ptr(pi->removed, irn)
-
-#define is_color_possible(irn,color) arch_reg_is_allocatable(pi->co->chordal_env->arch_env, irn, arch_pos_make_out(0), arch_register_for_index(pi->co->chordal_env->cls, color))
-
-/*
- * Some stuff for variable name handling.
- */
-#define mangle_cst(buf, prefix, nr) \
- snprintf((buf), sizeof(buf), "%c%d", (prefix), (nr))
-
-#define mangle_var(buf, prefix, node_nr, color) \
- snprintf((buf), sizeof(buf), "%c%d_%d", (prefix), (node_nr), (color))
-
-#define mangle_var_irn(buf, prefix, irn, color) \
- mangle_var((buf), (prefix), get_irn_graph_nr(irn), (color))
-
-#define split_var(var, nnr, col) \
- sscanf(var, "x%d_%d", (nnr), (col))
-
-
-/**
- * Checks if a node is simplicial in the graph
- * heeding the already removed nodes.
- */
-static INLINE int pi_is_simplicial(problem_instance_t *pi, const if_node_t *ifn) {
- int i, o, size = 0;
- if_node_t **all, *curr;
- all = alloca(ifn_get_degree(ifn) * sizeof(*all));
-
- /* get all non-removed neighbors */
- foreach_neighb(ifn, curr)
- if (!is_removed(curr))
- all[size++] = curr;
-
- /* check if these form a clique */
- for (i=0; i<size; ++i)
- for (o=i+1; o<size; ++o)
- if (!ifg_has_edge(pi->co->chordal_env, all[i], all[o]))
- return 0;
-
- /* all edges exist so this is a clique */
- return 1;
-}
-
-/**
- * Iterative finds and 'removes' from the graph all nodes which are
- * simplicial AND not member of a equal-color-wish
- */
-static void pi_find_simplicials(problem_instance_t *pi) {
- set *if_nodes;
- if_node_t *ifn;
- int redo = 1;
-
- DBG((dbg, LEVEL_2, "Find simlicials...\n"));
-
- if_nodes = be_ra_get_ifg_nodes(pi->co->chordal_env);
- while (redo) {
- redo = 0;
- for (ifn = set_first(if_nodes); ifn; ifn = set_next(if_nodes)) {
- ir_node *irn = get_irn_for_graph_nr(pi->co->chordal_env->irg, ifn->nnr);
- if (!is_removed(irn) && !is_optimizable(pi->co->chordal_env->arch_env, irn) &&
- !is_optimizable_arg(pi->co, irn) && pi_is_simplicial(pi, ifn)) {
- simpl_t *s = xmalloc(sizeof(*s));
- s->ifn = ifn;
- list_add(&s->chain, &pi->simplicials);
- pset_insert_ptr(pi->removed, irn);
- redo = 1;
- DBG((dbg, LEVEL_2, " Removed %n %d\n", irn, get_irn_graph_nr(irn)));
- }
- }
- }
- if (set_count(be_ra_get_ifg_nodes(pi->co->chordal_env)) == pset_count(pi->removed))
- pi->all_simplicial = 1;
-}
-
-/**
- * Add coloring-force conditions
- * Matrix A: knapsack constraint for each node
- */
-static void pi_add_constr_A(problem_instance_t *pi) {
- pmap_entry *pme;
-
- DBG((dbg, LEVEL_2, "Add A constraints...\n"));
- /* iterate over all blocks */
- pmap_foreach(pi->co->chordal_env->border_heads, pme) {
- struct list_head *head = pme->value;
- border_t *curr;
- bitset_t *pos_regs = bitset_alloca(pi->co->chordal_env->cls->n_regs);
-
- list_for_each_entry_reverse(border_t, curr, head, list)
- if (curr->is_def && curr->is_real && !is_removed(curr->irn)) {
- int cst_idx, nnr, col;
-
- nnr = get_irn_graph_nr(curr->irn);
- mangle_cst(pi->buf, 'A', nnr);
- cst_idx = lpp_add_cst(pi->curr_lp, pi->buf, equal, 1);
-
- // iterate over all possible colors in order
- bitset_clear_all(pos_regs);
- arch_get_allocatable_regs(pi->co->chordal_env->arch_env, curr->irn, arch_pos_make_out(0), pi->co->chordal_env->cls, pos_regs);
- bitset_foreach(pos_regs, col) {
- int var_idx;
- mangle_var(pi->buf, 'x', nnr, col);
- var_idx = lpp_add_var(pi->curr_lp, pi->buf, binary, 0);
- pi->last_x_var = var_idx;
- lpp_set_factor_fast(pi->curr_lp, cst_idx, var_idx, 1);
- }
- }
- }
-}
-
-/**
- * Checks if all nodes in @p living are live in in block @p block.
- * @return 1 if all are live in
- * 0 else
- */
-static INLINE int all_live_in(ir_node *block, pset *living) {
- ir_node *n;
- for (n = pset_first(living); n; n = pset_next(living))
- if (!is_live_in(block, n)) {
- pset_break(living);
- return 0;
- }
- return 1;
-}
-
-/**
- * Finds cliques in the interference graph, considering only nodes
- * for which the color @p color is possible. Finds only 'maximal-cliques',
- * viz cliques which are not contained in another one.
- * Matrix B: interference constraints using cliques
- */
-static void pi_add_constr_B(problem_instance_t *pi, int color) {
- enum phase_t {growing, shrinking} phase = growing;
- border_t *b;
- pmap_entry *pme;
- pset *living = pset_new_ptr(SLOTS_LIVING);
-
- DBG((dbg, LEVEL_2, "Add B constraints (col = %d)...\n", color));
- /* iterate over all blocks */
- pmap_foreach(pi->co->chordal_env->border_heads, pme) {
- ir_node *block = pme->key;
- struct list_head *head = pme->value;
-
- list_for_each_entry_reverse(border_t, b, head, list) {
- const ir_node *irn = b->irn;
- if (is_removed(irn) || !is_color_possible(irn, color))
- continue;
-
- if (b->is_def) {
- DBG((dbg, LEVEL_2, "Def %n\n", irn));
- pset_insert_ptr(living, irn);
- phase = growing;
- } else { /* is_use */
- DBG((dbg, LEVEL_2, "Use %n\n", irn));
-
- /* before shrinking the set, store the current 'maximum' clique;
- * do NOT if clique is a single node
- * do NOT if all values are live_in (in this case they were contained in a live-out clique elsewhere) */
- if (phase == growing && pset_count(living) >= 2 && !all_live_in(block, living)) {
- int cst_idx;
- ir_node *n;
- mangle_cst(pi->buf, 'B', pi->cst_counter);
- cst_idx = lpp_add_cst(pi->curr_lp, pi->buf, less, 1);
- for (n = pset_first(living); n; n = pset_next(living)) {
- int var_idx;
- mangle_var_irn(pi->buf, 'x', n, color);
- var_idx = lpp_get_var_idx(pi->curr_lp, pi->buf);
- lpp_set_factor_fast(pi->curr_lp, cst_idx, var_idx, 1);
- }
- pi->cst_counter++;
- }
- pset_remove_ptr(living, irn);
- phase = shrinking;
- }
- }
- }
- assert(0 == pset_count(living));
- del_pset(living);
-}
-
-/**
- * Generates constraints which interrelate x with y variables.
- * y=1 ==> x1 and x2 must have the same color.
- * <== is achieved automatically by minimization.
- */
-static void pi_add_constr_E(problem_instance_t *pi) {
- unit_t *curr;
- bitset_t *root_regs, *arg_regs;
- int cst_counter = 0;
- unsigned nregs = pi->co->chordal_env->cls->n_regs;
- root_regs = bitset_alloca(nregs);
- arg_regs = bitset_alloca(nregs);
-
- DBG((dbg, LEVEL_2, "Add E constraints...\n"));
- /* for all roots of optimization units */
- list_for_each_entry(unit_t, curr, &pi->co->units, units) {
- const ir_node *root, *arg;
- int rootnr, argnr, color;
- int y_idx, i;
- char buf[32];
-
- root = curr->nodes[0];
- rootnr = get_irn_graph_nr(root);
- bitset_clear_all(root_regs);
- arch_get_allocatable_regs(pi->co->chordal_env->arch_env, root, arch_pos_make_out(0), pi->co->chordal_env->cls, root_regs);
-
- /* for all arguments of root */
- for (i = 1; i < curr->node_count; ++i) {
- arg = curr->nodes[i];
- argnr = get_irn_graph_nr(arg);
- bitset_clear_all(arg_regs);
- arch_get_allocatable_regs(pi->co->chordal_env->arch_env, arg, arch_pos_make_out(0), pi->co->chordal_env->cls, arg_regs);
-
- /* Introduce new variable and set factor in objective function */
- mangle_var(buf, 'y', rootnr, argnr);
- y_idx = lpp_add_var(pi->curr_lp, buf, continous, get_weight(root, arg));
- /* set starting value */
- //lpp_set_start_value(pi->curr_lp, y_idx, (get_irn_col(pi->co, root) != get_irn_col(pi->co, arg)));
-
- /* For all colors root and arg have in common, add 2 constraints to E */
- bitset_and(arg_regs, root_regs);
- bitset_foreach(arg_regs, color) {
- int root_idx, arg_idx, cst_idx;
- mangle_var(buf, 'x', rootnr, color);
- root_idx = lpp_get_var_idx(pi->curr_lp, buf);
- mangle_var(buf, 'x', argnr, color);
- arg_idx = lpp_get_var_idx(pi->curr_lp, buf);
-
- /* add root-arg-y <= 0 */
- mangle_cst(buf, 'E', cst_counter++);
- cst_idx = lpp_add_cst(pi->curr_lp, buf, less, 0);
- lpp_set_factor_fast(pi->curr_lp, cst_idx, root_idx, 1);
- lpp_set_factor_fast(pi->curr_lp, cst_idx, arg_idx, -1);
- lpp_set_factor_fast(pi->curr_lp, cst_idx, y_idx, -1);
-
- /* add arg-root-y <= 0 */
- mangle_cst(buf, 'E', cst_counter++);
- cst_idx = lpp_add_cst(pi->curr_lp, buf, less, 0);
- lpp_set_factor_fast(pi->curr_lp, cst_idx, root_idx, -1);
- lpp_set_factor_fast(pi->curr_lp, cst_idx, arg_idx, 1);
- lpp_set_factor_fast(pi->curr_lp, cst_idx, y_idx, -1);
- }
- }
- }
-}
-
-/**
- * Matrix M: maximum independent set constraints
- * Generates lower bound-cuts for optimization units with inner interferences.
- * Sum(y_{root, arg}, arg \in Args) <= max_indep_set_size - 1
- */
-static void pi_add_constr_M(problem_instance_t *pi) {
- unit_t *curr;
- int cst_counter = 0;
- DBG((dbg, LEVEL_2, "Add M constraints...\n"));
-
- /* for all optimization units */
- list_for_each_entry(unit_t, curr, &pi->co->units, units) {
- const ir_node *root, *arg;
- int rootnr, argnr;
- int cst_idx, y_idx, i;
- char buf[32];
-
- if (curr->ifg_mis_size == curr->node_count)
- continue;
-
- root = curr->nodes[0];
- rootnr = get_irn_graph_nr(root);
- mangle_cst(buf, 'M', cst_counter++);
- cst_idx = lpp_add_cst(pi->curr_lp, buf, greater, curr->node_count - curr->ifg_mis_size);
-
- /* for all arguments */
- for (i = 1; i < curr->node_count; ++i) {
- arg = curr->nodes[i];
- argnr = get_irn_graph_nr(arg);
- mangle_var(buf, 'y', rootnr, argnr);
- y_idx = lpp_get_var_idx(pi->curr_lp, buf);
- lpp_set_factor_fast(pi->curr_lp, cst_idx, y_idx, 1);
- }
- }
-}
-
-/**
- * Generate the initial problem matrices and vectors.
- */
-static problem_instance_t *new_pi(const copy_opt_t *co) {
- problem_instance_t *pi;
- int col;
-
- DBG((dbg, LEVEL_2, "Generating new instance...\n"));
- pi = xcalloc(1, sizeof(*pi));
- pi->co = co;
- pi->removed = pset_new_ptr_default();
- INIT_LIST_HEAD(&pi->simplicials);
- pi->dilp = new_lpp(co->name, minimize);
- pi->last_x_var = -1;
-
- /* problem size reduction */
- pi_find_simplicials(pi);
- //TODO dump_ifg_w/o_removed
- if (pi->all_simplicial)
- return pi;
-
- /* built objective abd constraints */
- pi->curr_lp = pi->dilp;
- pi_add_constr_A(pi);
- for (col = 0; col < pi->co->chordal_env->cls->n_regs; ++col)
- pi_add_constr_B(pi, col);
- pi_add_constr_E(pi);
- pi_add_constr_M(pi);
-
- return pi;
-}
-
-/**
- * Clean the problem instance
- */
-static void free_pi(problem_instance_t *pi) {
- simpl_t *simpl, *tmp;
-
- DBG((dbg, LEVEL_2, "Free instance...\n"));
- free_lpp(pi->dilp);
- list_for_each_entry_safe(simpl_t, simpl, tmp, &pi->simplicials, chain)
- free(simpl);
- del_pset(pi->removed);
- free(pi);
-}
-
-/**
- * Set starting values for the mip problem according
- * to the current coloring of the graph.
- */
-static void pi_set_start_sol(problem_instance_t *pi) {
- int i;
- char var_name[64];
- DBG((dbg, LEVEL_2, "Set start solution...\n"));
- for (i=1; i<=pi->last_x_var; ++i) {
- int nnr, col;
- double val;
- /* get variable name */
- lpp_get_var_name(pi->curr_lp, i, var_name, sizeof(var_name));
- /* split into components */
- if (split_var(var_name, &nnr, &col) == 2) {
- assert(get_irn_col(pi->co, get_irn_for_graph_nr(pi->co->chordal_env->irg, nnr)) != -1);
- val = (get_irn_col(pi->co, get_irn_for_graph_nr(pi->co->chordal_env->irg, nnr)) == col) ? 1 : 0;
- lpp_set_start_value(pi->curr_lp, i, val);
- } else {
- fprintf(stderr, "Variable name is: %s\n", var_name);
- assert(0 && "x vars always look like this 'x123_45'");
- }
- }
-}
-
-/**
- * Invoke a solver
- */
-static void pi_solve_ilp(problem_instance_t *pi, void (*lpp_solve)(lpp_t *)) {
- pi_set_start_sol(pi);
- lpp_solve(pi->curr_lp);
-}
-
-/**
- * Set the color of all simplicial nodes removed form
- * the graph before transforming it to an ilp.
- */
-static void pi_set_simplicials(problem_instance_t *pi) {
- simpl_t *simpl, *tmp;
- bitset_t *used_cols = bitset_alloca(arch_register_class_n_regs(pi->co->chordal_env->cls));
-
- DBG((dbg, LEVEL_2, "Set simplicials...\n"));
- /* color the simplicial nodes in right order */
- list_for_each_entry_safe(simpl_t, simpl, tmp, &pi->simplicials, chain) {
- int free_col;
- ir_node *other_irn, *irn;
- if_node_t *other, *ifn;
-
- /* get free color by inspecting all neighbors */
- ifn = simpl->ifn;
- irn = get_irn_for_graph_nr(pi->co->chordal_env->irg, ifn->nnr);
- bitset_clear_all(used_cols);
- foreach_neighb(ifn, other) {
- other_irn = get_irn_for_graph_nr(pi->co->chordal_env->irg, other->nnr);
- if (!is_removed(other_irn)) /* only inspect nodes which are in graph right now */
- bitset_set(used_cols, get_irn_col(pi->co, other_irn));
- }
-
- /* now all bits not set are possible colors */
- free_col = bitset_next_clear(used_cols, 0);
- assert(free_col != -1 && "No free color found. This can not be.");
- set_irn_col(pi->co, irn, free_col);
- pset_remove_ptr(pi->removed, irn); /* irn is back in graph again */
- }
-}
-
-/**
- * Sets the colors of irns according to the values of variables
- * provided by the solution of the solver.
- */
-static void pi_apply_solution(problem_instance_t *pi) {
- int i;
- double *sol;
- sol_state_t state;
- DBG((dbg, LEVEL_2, "Applying solution...\n"));
-
-#ifdef DO_STAT
- curr_vals[I_ILP_ITER] += lpp_get_iter_cnt(pi->curr_lp);
- curr_vals[I_ILP_TIME] += lpp_get_sol_time(pi->curr_lp);
-#endif
-
- sol = xmalloc((pi->last_x_var+1) * sizeof(*sol));
- state = lpp_get_solution(pi->curr_lp, sol, 1, pi->last_x_var);
- if (state != optimal) {
- printf("Solution state is not 'optimal': %d\n", state);
- assert(state >= feasible && "The solution should at least be feasible!");
- }
- for (i=0; i<pi->last_x_var; ++i) {
- int nnr, col;
- char var_name[64];
-
- if (sol[i] > 1-EPSILON) { /* split varibale name into components */
- lpp_get_var_name(pi->curr_lp, 1+i, var_name, sizeof(var_name));
- if (split_var(var_name, &nnr, &col) == 2) {
- DBG((dbg, LEVEL_2, "Irn %n Idx %d Var %s Val %f\n", get_irn_for_graph_nr(pi->co->chordal_env->irg, nnr), i, var_name, sol[i]));
- DBG((dbg, LEVEL_2, "x%d = %d\n", nnr, col));
- set_irn_col(pi->co, get_irn_for_graph_nr(pi->co->chordal_env->irg, nnr), col);
- } else
- assert(0 && "This should be a x-var");
- }
- }
-}
-
-void co_ilp_opt(copy_opt_t *co) {
- problem_instance_t *pi;
-
- dbg = firm_dbg_register("ir.be.copyoptilp");
- if (!strcmp(co->name, DEBUG_IRG))
- firm_dbg_set_mask(dbg, DEBUG_LVL_ILP);
- else
- firm_dbg_set_mask(dbg, DEBUG_LVL);
-
- pi = new_pi(co);
- if (!pi->all_simplicial) {
-#ifdef DUMP_MPS
- char buf[512];
- snprintf(buf, sizeof(buf), "%s.mps", co->name);
- lpp_dump(pi->curr_lp, buf);
-#endif
- pi_solve_ilp(pi, lpp_solve_local);
- pi_apply_solution(pi);
- pi_set_simplicials(pi);
- }
- free_pi(pi);
-}
+#include "becopyilp_t.h"
\ No newline at end of file