4 * Copyright: (c) Universitaet Karlsruhe
5 * Licence: This file protected by GPL - GNU GENERAL PUBLIC LICENSE.
18 #define PATH_CONSTRAINTS_FOR_CLASSES
19 #undef PRECOLOR_MAX_CLIQUE
21 #undef NO_NULL_COLORS_EXTRA_CSTS
22 #undef NO_NULL_COLORS_WITH_COSTS
23 #if (defined(NO_NULL_COLORS_EXTRA_CSTS) || defined(NO_NULL_COLORS_WITH_COSTS)) && !defined(NO_NULL_COLORS)
24 #error Chose your weapon!
30 #include <lpp/lpp_net.h>
31 #include <lpp/lpp_cplex.h>
32 #include <lpp/lpp_remote.h>
36 #include "iredges_t.h"
37 #include "bechordal_t.h"
38 #include "becopyopt.h"
39 #include "becopystat.h"
40 #include "besched_t.h"
43 #define LPP_HOST "i44pc52"
44 #define LPP_SOLVER "cplex"
47 static firm_dbg_module_t *dbg = NULL;
49 #define MAX(a,b) ((a<b)?(b):(a))
50 #define MIN(a,b) ((a<b)?(a):(b))
51 #define EPSILON 0.00001
52 #define SLOTS_LIVING 32
54 typedef struct _simpl_t {
55 struct list_head chain;
59 typedef struct _problem_instance_t {
60 const copy_opt_t *co; /** the copy_opt problem */
61 /* problem size reduction removing simple nodes */
62 struct list_head simplicials; /**< holds all simpl_t's in right order to color*/
63 pset *removed; /**< holds all removed simplicial irns */
65 lpp_t *curr_lp; /**< points to the problem currently used */
66 lpp_t *dilp; /**< problem formulation directly as milp */
67 #ifdef NO_NULL_COLORS_EXTRA_CSTS
68 int first_nnc_cst_idx; /**< the first index of a constraint belonging to no-null-colors stuff*/
70 int first_nnc_var_idx; /**< the first index of a constraint belonging to no-null-colors stuff*/
72 int cst_counter, first_x_var, last_x_var;
78 #define is_removed(irn) pset_find_ptr(pi->removed, irn)
80 #define is_color_possible(irn,color) arch_reg_is_allocatable(get_arch_env(pi->co), irn, arch_pos_make_out(0), arch_register_for_index(pi->co->chordal_env->cls, color))
83 * Some stuff for variable name handling.
85 #define mangle_cst(buf, prefix, nr) \
86 snprintf((buf), sizeof(buf), "%c%d", (prefix), (nr))
88 #define mangle_var1(buf, prefix, color) \
89 snprintf((buf), sizeof(buf), "%c%d", (prefix), (color))
91 #define mangle_var2(buf, prefix, node_nr, color) \
92 snprintf((buf), sizeof(buf), "%c%d_%d", (prefix), (node_nr), (color))
94 #define mangle_var3(buf, prefix, n1, n2, col) \
95 snprintf((buf), sizeof(buf), "%c%d_%d_%d", (prefix), (n1), (n2), (col))
97 #define mangle_var_irn(buf, prefix, irn, color) \
98 mangle_var2((buf), (prefix), get_irn_graph_nr(irn), (color))
100 #define split_var(var, nnr, col) \
101 sscanf(var, "x%d_%d", (nnr), (col))
105 * Checks if a node is simplicial in the graph
106 * heeding the already removed nodes.
108 static INLINE int pi_is_simplicial(problem_instance_t *pi, const if_node_t *ifn) {
110 if_node_t **all, *curr;
111 all = alloca(ifn_get_degree(ifn) * sizeof(*all));
113 /* get all non-removed neighbors */
114 foreach_neighb(ifn, curr)
115 if (!is_removed(curr))
118 /* check if these form a clique */
119 for (i=0; i<size; ++i)
120 for (o=i+1; o<size; ++o)
121 if (!ifg_has_edge(pi->co->chordal_env, all[i], all[o]))
124 /* all edges exist so this is a clique */
129 * Iterative finds and 'removes' from the graph all nodes which are
130 * simplicial AND not member of a equal-color-wish
132 static void pi_find_simplicials(problem_instance_t *pi) {
137 DBG((dbg, LEVEL_2, "Find simlicials...\n"));
139 if_nodes = be_ra_get_ifg_nodes(pi->co->chordal_env);
142 for (ifn = set_first(if_nodes); ifn; ifn = set_next(if_nodes)) {
143 ir_node *irn = get_irn_for_graph_nr(get_irg(pi->co), ifn->nnr);
144 if (!is_removed(irn) && !is_optimizable(get_arch_env(pi->co), irn) && !is_optimizable_arg(pi->co, irn)) {
145 if (pi_is_simplicial(pi, ifn)) {
146 simpl_t *s = xmalloc(sizeof(*s));
148 list_add(&s->chain, &pi->simplicials);
149 pset_insert_ptr(pi->removed, irn);
151 DBG((dbg, LEVEL_2, " Removed %n %d\n", irn, get_irn_graph_nr(irn)));
156 if (set_count(be_ra_get_ifg_nodes(pi->co->chordal_env)) == pset_count(pi->removed))
157 pi->all_simplicial = 1;
160 #ifdef NO_NULL_COLORS
161 static void pi_add_constr_no_null_colors(problem_instance_t *pi) {
162 int cst_counter=0, col, var_idx, cst_idx;
163 int n_colors = pi->co->chordal_env->cls->n_regs;
166 for (col = 0; col < n_colors; ++col) {
167 mangle_var1(buf, 'u', col);
168 #ifdef NO_NULL_COLORS_WITH_COSTS
169 var_idx = lpp_add_var(pi->curr_lp, buf, lpp_binary, 1.0 / (double) (1 << (col+1)) );
171 var_idx = lpp_add_var(pi->curr_lp, buf, lpp_binary, 1.0 / (2.0 * n_colors) );
173 if (!pi->first_nnc_var_idx)
174 pi->first_nnc_var_idx = var_idx;
177 #ifdef NO_NULL_COLORS_EXTRA_CSTS
178 for (col = 0; col < n_colors; ++col) {
179 mangle_cst(buf, 'U', cst_counter++);
180 cst_idx = lpp_add_cst(pi->curr_lp, buf, lpp_greater, 0);
181 if (!pi->first_nnc_cst_idx)
182 pi->first_nnc_cst_idx = cst_idx;
183 lpp_set_factor_fast(pi->curr_lp, cst_idx, pi->first_nnc_var_idx+col, -1);
187 #ifndef NO_NULL_COLORS_WITH_COSTS
188 for (col = 0; col < n_colors - 1; ++col) {
189 mangle_cst(buf, 'U', cst_counter++);
190 cst_idx = lpp_add_cst(pi->curr_lp, buf, lpp_greater, 0);
191 lpp_set_factor_fast(pi->curr_lp, cst_idx, pi->first_nnc_var_idx+col , 1);
192 lpp_set_factor_fast(pi->curr_lp, cst_idx, pi->first_nnc_var_idx+col+1, -1);
200 * Add coloring-force conditions
201 * Matrix A: knapsack constraint for each node
203 static void pi_add_constr_A(problem_instance_t *pi) {
206 DBG((dbg, LEVEL_2, "Add A constraints...\n"));
207 /* iterate over all blocks */
208 pmap_foreach(pi->co->chordal_env->border_heads, pme) {
209 struct list_head *head = pme->value;
211 bitset_t *pos_regs = bitset_alloca(pi->co->chordal_env->cls->n_regs);
213 list_for_each_entry_reverse(border_t, curr, head, list)
214 if (curr->is_def && curr->is_real && !is_removed(curr->irn)) {
215 int cst_idx, nnr, col;
217 nnr = get_irn_graph_nr(curr->irn);
218 mangle_cst(pi->buf, 'A', nnr);
219 cst_idx = lpp_add_cst(pi->curr_lp, pi->buf, lpp_equal, 1);
221 /* iterate over all possible colors in order */
222 bitset_clear_all(pos_regs);
223 arch_get_allocatable_regs(get_arch_env(pi->co), curr->irn, arch_pos_make_out(0), pi->co->chordal_env->cls, pos_regs);
224 bitset_foreach(pos_regs, col) {
226 mangle_var2(pi->buf, 'x', nnr, col);
227 var_idx = lpp_add_var(pi->curr_lp, pi->buf, lpp_binary, 0);
228 if (!pi->first_x_var)
229 pi->first_x_var = var_idx;
230 pi->last_x_var = var_idx;
231 lpp_set_factor_fast(pi->curr_lp, cst_idx, var_idx, 1);
232 #ifdef NO_NULL_COLORS_EXTRA_CSTS
233 lpp_set_factor_fast(pi->curr_lp, pi->first_nnc_cst_idx+col, var_idx, 1);
241 * Checks if all nodes in @p living are live in in block @p block.
242 * @return 1 if all are live in
245 static INLINE int all_live_in(ir_node *block, pset *living) {
247 for (n = pset_first(living); n; n = pset_next(living))
248 if (!is_live_in(block, n)) {
256 * Finds cliques in the interference graph, considering only nodes
257 * for which the color @p color is possible. Finds only 'maximal-cliques',
258 * viz cliques which are not contained in another one.
259 * Matrix B: interference constraints using cliques
261 static void pi_add_constr_B(problem_instance_t *pi, int color) {
262 enum phase_t {growing, shrinking} phase = growing;
265 pset *living = pset_new_ptr(SLOTS_LIVING);
267 DBG((dbg, LEVEL_2, "Add B constraints (col = %d)...\n", color));
268 /* iterate over all blocks */
269 pmap_foreach(pi->co->chordal_env->border_heads, pme) {
270 ir_node *block = pme->key;
271 struct list_head *head = pme->value;
273 list_for_each_entry_reverse(border_t, b, head, list) {
274 const ir_node *irn = b->irn;
275 if (is_removed(irn) || !is_color_possible(irn, color))
279 DBG((dbg, LEVEL_2, "Def %n\n", irn));
280 pset_insert_ptr(living, irn);
282 } else { /* is_use */
283 DBG((dbg, LEVEL_2, "Use %n\n", irn));
285 /* before shrinking the set, store the current 'maximum' clique;
286 * do NOT if clique is a single node
287 * do NOT if all values are live_in (in this case they were contained in a live-out clique elsewhere) */
288 if (phase == growing && pset_count(living) >= 2 && !all_live_in(block, living)) {
291 mangle_cst(pi->buf, 'B', pi->cst_counter);
292 #ifdef NO_NULL_COLORS
293 cst_idx = lpp_add_cst(pi->curr_lp, pi->buf, lpp_less, 0);
295 cst_idx = lpp_add_cst(pi->curr_lp, pi->buf, lpp_less, 1);
297 for (n = pset_first(living); n; n = pset_next(living)) {
299 mangle_var_irn(pi->buf, 'x', n, color);
300 var_idx = lpp_get_var_idx(pi->curr_lp, pi->buf);
301 lpp_set_factor_fast(pi->curr_lp, cst_idx, var_idx, 1);
303 #ifdef NO_NULL_COLORS
304 lpp_set_factor_fast(pi->curr_lp, cst_idx, pi->first_nnc_var_idx+color, -1.0);
308 pset_remove_ptr(living, irn);
313 assert(0 == pset_count(living));
318 * Generates constraints which interrelate x with y variables.
319 * x1 and x2 have the different colors ==> y_12 = 1
321 static void pi_add_constr_E(problem_instance_t *pi) {
323 bitset_t *root_regs, *arg_regs, *work_regs;
325 unsigned nregs = pi->co->chordal_env->cls->n_regs;
326 root_regs = bitset_alloca(nregs);
327 arg_regs = bitset_alloca(nregs);
328 work_regs = bitset_alloca(nregs);
330 DBG((dbg, LEVEL_2, "Add E constraints...\n"));
331 /* for all roots of optimization units */
332 list_for_each_entry(unit_t, curr, &pi->co->units, units) {
334 int rootnr, argnr, color;
338 root = curr->nodes[0];
339 rootnr = get_irn_graph_nr(root);
340 bitset_clear_all(root_regs);
341 arch_get_allocatable_regs(get_arch_env(pi->co), root, arch_pos_make_out(0), pi->co->chordal_env->cls, root_regs);
343 /* for all arguments of root */
344 for (i = 1; i < curr->node_count; ++i) {
345 arg = curr->nodes[i];
346 argnr = get_irn_graph_nr(arg);
347 bitset_clear_all(arg_regs);
348 arch_get_allocatable_regs(get_arch_env(pi->co), arg, arch_pos_make_out(0), pi->co->chordal_env->cls, arg_regs);
350 /* Introduce new variable and set factor in objective function */
351 mangle_var2(buf, 'y', rootnr, argnr);
352 y_idx = lpp_add_var(pi->curr_lp, buf, lpp_binary, curr->costs[i]);
354 /* set starting value */
355 lpp_set_start_value(pi->curr_lp, y_idx, (get_irn_col(pi->co, root) != get_irn_col(pi->co, arg)));
357 /* For all colors root and arg have in common, add 2 constraints to E */
358 bitset_copy(work_regs, root_regs);
359 bitset_and(work_regs, arg_regs);
360 bitset_foreach(work_regs, color) {
361 int root_idx, arg_idx, cst_idx;
362 mangle_var2(buf, 'x', rootnr, color);
363 root_idx = lpp_get_var_idx(pi->curr_lp, buf);
364 mangle_var2(buf, 'x', argnr, color);
365 arg_idx = lpp_get_var_idx(pi->curr_lp, buf);
367 /* add root-arg-y <= 0 */
368 mangle_cst(buf, 'E', cst_counter++);
369 cst_idx = lpp_add_cst(pi->curr_lp, buf, lpp_less, 0);
370 lpp_set_factor_fast(pi->curr_lp, cst_idx, root_idx, 1);
371 lpp_set_factor_fast(pi->curr_lp, cst_idx, arg_idx, -1);
372 lpp_set_factor_fast(pi->curr_lp, cst_idx, y_idx, -1);
374 /* add arg-root-y <= 0 */
375 mangle_cst(buf, 'E', cst_counter++);
376 cst_idx = lpp_add_cst(pi->curr_lp, buf, lpp_less, 0);
377 lpp_set_factor_fast(pi->curr_lp, cst_idx, root_idx, -1);
378 lpp_set_factor_fast(pi->curr_lp, cst_idx, arg_idx, 1);
379 lpp_set_factor_fast(pi->curr_lp, cst_idx, y_idx, -1);
381 /* For all colors root and arg have "disjunct", add 1 constraints to E.
382 * If root gets a color the arg is not possible to get then they will
383 * definetly get different colors. So y has to be 1.
384 * Vice versa for arg.
386 bitset_copy(work_regs, root_regs);
387 bitset_xor(work_regs, arg_regs);
388 bitset_foreach(work_regs, color) {
389 int root_idx, arg_idx, cst_idx;
390 mangle_var2(buf, 'x', rootnr, color);
391 root_idx = lpp_get_var_idx(pi->curr_lp, buf);
392 mangle_var2(buf, 'x', argnr, color);
393 arg_idx = lpp_get_var_idx(pi->curr_lp, buf);
395 mangle_cst(buf, 'E', cst_counter++);
396 cst_idx = lpp_add_cst(pi->curr_lp, buf, lpp_less, 0);
397 if (bitset_is_set(root_regs, color)) {
398 /* add root-y <= 0 */
399 lpp_set_factor_fast(pi->curr_lp, cst_idx, root_idx, 1);
400 lpp_set_factor_fast(pi->curr_lp, cst_idx, y_idx, -1);
402 assert(bitset_is_set(arg_regs, color) && "bitset_xor is buggy");
404 lpp_set_factor_fast(pi->curr_lp, cst_idx, arg_idx, 1);
405 lpp_set_factor_fast(pi->curr_lp, cst_idx, y_idx, -1);
412 static INLINE int get_costs(problem_instance_t *pi, ir_node *phi, ir_node *irn) {
415 /* search optimization unit for phi */
416 list_for_each_entry(unit_t, curr, &pi->co->units, units)
417 if (curr->nodes[0] == phi) {
418 for (i=1; i<curr->node_count; ++i)
419 if (curr->nodes[i] == irn)
420 return curr->costs[i];
421 assert(0 && "irn must occur in this ou");
423 assert(0 && "phi must be found in a ou");
427 static void clique_path_walker(ir_node *block, void *env) {
428 problem_instance_t *pi = env;
429 int count, arity, row, col, other_row, *costs;
430 ir_node **phis, *phi, *irn, **phi_matrix;
432 bitset_t *candidates;
434 /* Count all phi nodes of this block */
435 for (count=0, irn = sched_first(block); is_Phi(irn); irn = sched_next(irn))
438 /* We at least 2 phi nodes for this class of inequalities */
442 /* Build the \Phi-Matrix */
443 arity = get_irn_arity(sched_first(block));
444 phis = alloca(count * sizeof(*phis));
445 costs = alloca(count * sizeof(costs));
446 phi_matrix = alloca(count*arity * sizeof(*phi_matrix));
447 candidates = bitset_alloca(count);
449 phi = sched_first(block);
450 for (row=0; row<count; ++row) {
452 for (col=0; col<arity; ++col) {
453 ir_node *arg = get_irn_n(phi, col);
454 /* Sort out all arguments interfering with its phi */
455 if (nodes_interfere(pi->co->chordal_env, phi, arg)) {
456 phi_matrix[row*arity + col] = NULL;
458 phi_matrix[row*arity + col] = arg;
460 phi = sched_next(phi);
463 /* Now find the interesting patterns in the matrix:
464 * All nodes which are used at least twice in a column. */
466 for (col=0; col<arity; ++col) {
467 done = pset_new_ptr_default();
468 for (row=0; row<count; ++row) {
469 irn = phi_matrix[row*arity + col];
471 * is this an interfering arg (NULL)
472 * or has the irn already been processed in this col?
474 if (!irn || pset_find_ptr(done, irn))
477 pset_insert_ptr(done, irn);
479 /* insert irn in candidates */
480 bitset_clear_all(candidates);
481 bitset_set(candidates, row);
482 /* search the irn in the rows below */
483 for (other_row = row+1; other_row<count; ++other_row)
484 if (irn == phi_matrix[other_row*arity + col]) {
485 /* found the irn in the same col in another row */
486 bitset_set(candidates, other_row);
489 /* now we know all occurences of irn in this col */
490 if (bitset_popcnt(candidates) < 2)
493 /* generate an unequation finally.
494 * phis are indexed in the bitset,
495 * shared argument is irn
496 * rhs is phi_count - 1 */
500 int pos, irnnr, rootnr, cst_idx, y_idx, cst_counter = 0;
501 int minimal_unequal_count = bitset_popcnt(candidates)-1;
503 irnnr = get_irn_graph_nr(irn);
504 mangle_cst(buf, 'M', cst_counter++);
505 cst_idx = lpp_add_cst(pi->curr_lp, buf, lpp_greater, minimal_unequal_count);
508 bitset_foreach(candidates, pos) {
510 rootnr = get_irn_graph_nr(root);
511 mangle_var2(buf, 'y', rootnr, irnnr);
512 y_idx = lpp_get_var_idx(pi->curr_lp, buf);
513 lpp_set_factor_fast(pi->curr_lp, cst_idx, y_idx, 1);
517 del_pset(done); /* clear set for next row */
522 * Matrix M: Multi-Arg-Use. Interrelates different \phi-functions
523 * in the same block, iff they use the same arg at the same pos.
524 * Only one of the phis can get the arg.
526 static void pi_add_clique_path_cstr(problem_instance_t *pi) {
527 DBG((dbg, LEVEL_2, "Adding clique path constraints...\n"));
528 dom_tree_walk_irg(get_irg(pi->co), clique_path_walker, NULL, pi);
531 #ifndef PATH_CONSTRAINTS_FOR_CLASSES
533 * Matrix P: Path contraints.
534 * If 2 nodes interfere and there is a path of equal-color-edges
535 * connecting them, then at least one of those equal-color-edges
536 * will break and cause some costs.
538 static void pi_add_path_cstr(problem_instance_t *pi) {
541 DBG((dbg, LEVEL_2, "Adding path constraints...\n"));
543 /* for all optimization units (only phis) */
544 list_for_each_entry(unit_t, curr, &pi->co->units, units) {
547 if (curr->min_nodes_costs == 0)
550 rootnr = get_irn_graph_nr(curr->nodes[0]);
551 /* check all argument pairs for interference */
552 for (i=1; i<curr->node_count; ++i) {
553 const ir_node *arg1 = curr->nodes[i];
554 int arg1nr = get_irn_graph_nr(arg1);
555 for (o=i+1; o<curr->node_count; ++o) {
556 const ir_node *arg2 = curr->nodes[o];
557 int arg2nr = get_irn_graph_nr(arg2);
558 if (nodes_interfere(pi->co->chordal_env, arg1, arg2)) {
562 mangle_cst(buf, 'P', cst_counter++);
563 cst_idx = lpp_add_cst(pi->curr_lp, buf, lpp_greater, 1);
565 mangle_var2(buf, 'y', rootnr, arg1nr);
566 y_idx = lpp_get_var_idx(pi->curr_lp, buf);
567 lpp_set_factor_fast(pi->curr_lp, cst_idx, y_idx, 1);
569 mangle_var2(buf, 'y', rootnr, arg2nr);
570 y_idx = lpp_get_var_idx(pi->curr_lp, buf);
571 lpp_set_factor_fast(pi->curr_lp, cst_idx, y_idx, 1);
579 #ifdef PATH_CONSTRAINTS_FOR_CLASSES
580 static INLINE int get_y_var_idx(problem_instance_t *pi, int nnr1, int nnr2) {
584 mangle_var2(buf, 'y', nnr1, nnr2);
585 if ((res = lpp_get_var_idx(pi->curr_lp, buf)) != -1)
588 mangle_var2(buf, 'y', nnr2, nnr1);
589 if ((res = lpp_get_var_idx(pi->curr_lp, buf)) != -1)
592 assert(0 && "One of them must work");
596 static void check_ecc_and_add_cut(problem_instance_t *pi, ir_node **path, int length, pset *remain, ir_node *tgt) {
597 if (path[length-1] == tgt) { /* we found a path */
598 int cst_idx, var_idx, i, nnr1, nnr2;
602 mangle_cst(buf, 'Q', pi->cst_counter++);
603 cst_idx = lpp_add_cst(pi->curr_lp, buf, lpp_greater, 1);
605 /* add all vars along the path */
606 nnr2 = get_irn_graph_nr(path[0]);
607 for (i=1; i<length; ++i) {
609 nnr2 = get_irn_graph_nr(path[i]);
610 var_idx = get_y_var_idx(pi, nnr1, nnr2);
611 lpp_set_factor_fast(pi->curr_lp, cst_idx, var_idx, 1);
613 } else { /* try to extend the path */
614 be_chordal_env_t *cenv = pi->co->chordal_env;
615 const ir_edge_t *edge;
616 ir_node *end = path[length-1];
617 ir_node **next = alloca(pset_count(remain) * sizeof(*next));
618 int i, o, max, next_pos = 0;
619 pset *done = pset_new_ptr_default();
621 /* find all potential next nodes on path */
624 for(i=0, max=get_irn_arity(end); i<max; ++i) {
625 ir_node *arg = get_irn_n(end, i);
626 if (!pset_find_ptr(done, arg) && pset_find_ptr(remain, arg)) {
627 next[next_pos++] = arg;
628 pset_insert_ptr(done, arg);
631 /* outs of phis and other nodes */
632 foreach_out_edge(end, edge) {
633 ir_node *user = edge->src;
634 if (is_Phi(user) && !pset_find_ptr(done, user) && pset_find_ptr(remain, user)) {
635 next[next_pos++] = user;
636 pset_insert_ptr(done, user);
642 /* delete all potential nodes with interferences to other nodes in the path */
643 for (i=0; i<next_pos; ++i) {
644 ir_node *nn = next[i];
646 /* if next is the tgt, it may interfere with path[0],
647 * so skip the first check */
648 o = (nn == tgt && length > 1) ? 1 : 0;
651 if (nodes_interfere(cenv, nn, path[o])) {
656 /* now we have all possible nodes in next; impossibles are NULL */
658 /* try to finish path with all possible nodes */
659 for (i=0; i<next_pos; ++i) {
660 if (!next[i]) /* this was an impossible node */
663 path[length] = next[i];
664 pset_remove_ptr(remain, next[i]);
665 check_ecc_and_add_cut(pi, path, length+1, remain, tgt);
666 pset_insert_ptr(remain, next[i]);
671 static void path_cstr_for_classes_walker(ir_node *irn, void *env) {
672 problem_instance_t *pi = env;
673 be_chordal_env_t *cenv;
676 pset *class = get_phi_class(irn);
677 if (!class || pset_find_ptr(pi->done, class))
680 pset_insert_ptr(pi->done, class);
683 max = pset_count(class);
684 cls = alloca(max * sizeof(*cls));
685 for(i=0, m = pset_first(class); m; i++, m = pset_next(class)) {
686 DBG((dbg, LEVEL_1, " class member: %+F\n", m));
690 cenv = pi->co->chordal_env;
691 for(i=0; i<max; ++i) {
692 ir_node **path = alloca(max * sizeof(*path));
693 pset *remain = pset_new_ptr(8);
694 pset_insert_pset_ptr(remain, class);
696 /* add cls[i] to path and remove it from remainder */
698 pset_remove_ptr(remain, cls[i]);
700 for(o=i+1; o<max; ++o)
701 if (nodes_interfere(cenv, cls[i], cls[o]))
702 check_ecc_and_add_cut(pi, path, 1, remain, cls[o]);
704 /* insert back into remainder */
705 pset_insert_ptr(remain, cls[i]);
711 * Matrix P: Path contraints.
712 * If 2 nodes interfere and there is a path of equal-color-edges
713 * connecting them, then at least one of those equal-color-edges
714 * will break and cause some costs.
716 static void pi_add_path_cstr_for_classes(problem_instance_t *pi) {
717 DBG((dbg, LEVEL_2, "Adding path constraints for phi classes...\n"));
719 pi->done = pset_new_ptr_default();
720 irg_walk_graph(get_irg(pi->co), path_cstr_for_classes_walker, NULL, pi);
725 #ifdef PRECOLOR_MAX_CLIQUE
727 problem_instance_t *pi;
731 #define has_reg_class(pi,irn) \
732 (arch_get_irn_reg_class(pi->co->chordal_env->session_env->main_env->arch_env, \
733 irn, arch_pos_make_out(0)) == pi->co->chordal_env->cls)
735 static void preColoringWalker(ir_node *bl, void *env) {
736 struct pre_col *e = env;
737 pset **clique = e->clique;
738 pset *max_clique = clique ? *clique : NULL;
739 int max = max_clique ? pset_count(max_clique) : 0;
740 problem_instance_t *pi = e->pi;
743 pset *live = pset_new_ptr_default();
747 /* as always, bring the live end nodes to life here */
748 live_foreach(bl, li) {
749 if(live_is_end(li) && has_reg_class(pi, li->irn)) {
750 pset_insert_ptr(live, irn);
754 sched_foreach_reverse(bl, irn) {
755 int pres = pset_count(live);
760 del_pset(max_clique);
762 max_clique = pset_new_ptr_default();
763 pset_insert_pset_ptr(max_clique, live);
768 if(has_reg_class(pi, irn))
769 pset_remove_ptr(live, irn);
771 for(i = 0, n = get_irn_arity(irn); i < n; ++i) {
772 ir_node *op = get_irn_n(irn, i);
773 if(has_reg_class(pi, op) && !is_Phi(irn))
774 pset_insert_ptr(live, op);
779 *clique = max_clique;
782 static void pi_add_constr_preColoring(problem_instance_t *pi) {
784 int cst_counter, color;
785 struct pre_col pre_col;
787 pre_col.clique = NULL;
790 dom_tree_walk_irg(get_irg(pi->co), preColoringWalker, NULL, &pre_col);
793 for (irn = pset_first(*pre_col.clique); irn; irn = pset_next(*pre_col.clique)) {
794 int cst_idx, var_idx, nnr = get_irn_graph_nr(irn);
797 mangle_cst(buf, 'K', cst_counter++);
798 cst_idx = lpp_add_cst(pi->curr_lp, buf, lpp_equal, 1);
800 mangle_var2(buf, 'x', nnr, color++);
801 var_idx = lpp_get_var_idx(pi->curr_lp, buf);
802 lpp_set_factor_fast(pi->curr_lp, cst_idx, var_idx, 1);
808 * Generate the initial problem matrices and vectors.
810 static problem_instance_t *new_pi(const copy_opt_t *co) {
811 problem_instance_t *pi;
814 DBG((dbg, LEVEL_2, "Generating new instance...\n"));
815 pi = xcalloc(1, sizeof(*pi));
817 pi->removed = pset_new_ptr_default();
818 INIT_LIST_HEAD(&pi->simplicials);
819 pi->dilp = new_lpp(co->name, lpp_minimize);
821 /* problem size reduction */
822 pi_find_simplicials(pi);
823 if (pi->all_simplicial)
826 /* built objective and constraints */
827 pi->curr_lp = pi->dilp;
828 #ifdef NO_NULL_COLORS
829 pi_add_constr_no_null_colors(pi);
832 for (col = 0; col < pi->co->chordal_env->cls->n_regs; ++col)
833 pi_add_constr_B(pi, col);
836 #ifdef PATH_CONSTRAINTS_FOR_CLASSES
837 pi_add_path_cstr_for_classes(pi);
839 pi_add_path_cstr(pi);
841 pi_add_clique_path_cstr(pi);
842 #ifdef PRECOLOR_MAX_CLIQUE
843 pi_add_constr_preColoring(pi);
850 * Clean the problem instance
852 static void free_pi(problem_instance_t *pi) {
853 simpl_t *simpl, *tmp;
855 DBG((dbg, LEVEL_2, "Free instance...\n"));
857 list_for_each_entry_safe(simpl_t, simpl, tmp, &pi->simplicials, chain)
859 del_pset(pi->removed);
864 * Set starting values for the mip problem according
865 * to the current coloring of the graph.
867 static void pi_set_start_sol(problem_instance_t *pi) {
870 DBG((dbg, LEVEL_2, "Set start solution...\n"));
871 for (i=pi->first_x_var; i<=pi->last_x_var; ++i) {
874 /* get variable name */
875 lpp_get_var_name(pi->curr_lp, i, var_name, sizeof(var_name));
876 /* split into components */
877 if (split_var(var_name, &nnr, &col) == 2) {
878 assert(get_irn_col(pi->co, get_irn_for_graph_nr(get_irg(pi->co), nnr)) != -1);
879 val = (get_irn_col(pi->co, get_irn_for_graph_nr(get_irg(pi->co), nnr)) == col) ? 1 : 0;
880 lpp_set_start_value(pi->curr_lp, i, val);
882 fprintf(stderr, "Variable name is: %s\n", var_name);
883 assert(0 && "x vars always look like this 'x123_45'");
891 static void pi_solve_ilp(problem_instance_t *pi) {
894 pi_set_start_sol(pi);
895 lower_bound = co_get_lower_bound(pi->co) - co_get_inevit_copy_costs(pi->co);
896 lpp_set_bound(pi->curr_lp, lower_bound);
897 lpp_solve_net(pi->curr_lp, LPP_HOST, LPP_SOLVER);
898 // lpp_solve_cplex(pi->curr_lp);
899 DBG((dbg, LEVEL_1, "Solution time: %.2f\n", pi->curr_lp->sol_time));
903 * Set the color of all simplicial nodes removed form
904 * the graph before transforming it to an ilp.
906 static void pi_set_simplicials(problem_instance_t *pi) {
907 simpl_t *simpl, *tmp;
908 bitset_t *used_cols = bitset_alloca(arch_register_class_n_regs(pi->co->chordal_env->cls));
910 DBG((dbg, LEVEL_2, "Set simplicials...\n"));
911 /* color the simplicial nodes in right order */
912 list_for_each_entry_safe(simpl_t, simpl, tmp, &pi->simplicials, chain) {
914 ir_node *other_irn, *irn;
915 if_node_t *other, *ifn;
917 /* get free color by inspecting all neighbors */
919 irn = get_irn_for_graph_nr(get_irg(pi->co), ifn->nnr);
920 bitset_clear_all(used_cols);
921 foreach_neighb(ifn, other) {
922 other_irn = get_irn_for_graph_nr(get_irg(pi->co), other->nnr);
923 if (!is_removed(other_irn)) /* only inspect nodes which are in graph right now */
924 bitset_set(used_cols, get_irn_col(pi->co, other_irn));
927 /* now all bits not set are possible colors */
928 free_col = bitset_next_clear(used_cols, 0);
929 assert(free_col != -1 && "No free color found. This can not be.");
930 set_irn_col(pi->co, irn, free_col);
931 pset_remove_ptr(pi->removed, irn); /* irn is back in graph again */
936 * Sets the colors of irns according to the values of variables
937 * provided by the solution of the solver.
939 static int pi_apply_solution(problem_instance_t *pi) {
942 lpp_sol_state_t state;
943 DBG((dbg, LEVEL_2, "Applying solution...\n"));
946 copystat_add_ilp_time((int)(1000.0*lpp_get_sol_time(pi->curr_lp))); //now we have ms
947 copystat_add_ilp_vars(lpp_get_var_count(pi->curr_lp));
948 copystat_add_ilp_csts(lpp_get_cst_count(pi->curr_lp));
949 copystat_add_ilp_iter(lpp_get_iter_cnt(pi->curr_lp));
952 sol = xmalloc((pi->last_x_var - pi->first_x_var + 1) * sizeof(*sol));
953 state = lpp_get_solution(pi->curr_lp, sol, pi->first_x_var, pi->last_x_var);
954 if (state != lpp_optimal) {
955 printf("WARNING %s: Solution state is not 'optimal': %d\n", pi->co->name, state);
956 assert(state >= lpp_feasible && "The solution should at least be feasible!");
959 for (i=0; i<pi->last_x_var - pi->first_x_var + 1; ++i) {
963 if (sol[i] > 1-EPSILON) { /* split varibale name into components */
964 lpp_get_var_name(pi->curr_lp, pi->first_x_var+i, var_name, sizeof(var_name));
965 if (split_var(var_name, &nnr, &col) == 2) {
966 DBG((dbg, LEVEL_2, "Irn %n Idx %d Var %s Val %f\n", get_irn_for_graph_nr(get_irg(pi->co), nnr), i, var_name, sol[i]));
967 DBG((dbg, LEVEL_2, "x%d = %d\n", nnr, col));
968 set_irn_col(pi->co, get_irn_for_graph_nr(get_irg(pi->co), nnr), col);
970 assert(0 && "This should be a x-var");
976 int co_ilp_opt(copy_opt_t *co, double time_limit) {
978 problem_instance_t *pi;
980 dbg = firm_dbg_register("ir.be.copyoptilp");
981 if (!strcmp(co->name, DEBUG_IRG))
982 firm_dbg_set_mask(dbg, DEBUG_IRG_LVL_ILP);
984 firm_dbg_set_mask(dbg, DEBUG_LVL_ILP);
987 if (!pi->all_simplicial) {
990 snprintf(buf, sizeof(buf), "%s.mps", co->name);
991 lpp_dump(pi->curr_lp, buf);
993 lpp_set_time_limit(pi->curr_lp, time_limit);
995 res = pi_apply_solution(pi);
996 pi_set_simplicials(pi);