/**
- * Minimizing copies with an exact algorithm using mixed integer programming (MIP).
- * Problem statement as a 'quadratic 0-1 program with linear constraints' with
- * n binary variables. Constraints are knapsack (enforce color for each node) and
- * cliques of ifg (interference constraints).
- * Transformation into a 'mixed integer program' with n binary variables and
- * additional 2n real variables. Constraints are the above the transformed
- * objective function and 'complementary conditions' for two var classes.
- * @author Daniel Grund
- *
- * NOTE: Unfortunately no good solver is available locally (or even for linking)
- * We use CPLEX 9.0 which runs on a machine residing at the Rechenzentrum.
- * @date 12.04.2005
+ * Author: Daniel Grund
+ * Date: 17.05.2005
+ * Copyright: (c) Universitaet Karlsruhe
+ * Licence: This file protected by GPL - GNU GENERAL PUBLIC LICENSE.
+ * CVS-ID: $Id$
*/
+#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 "becopyopt.h"
+#define PATH_CONSTRAINTS_FOR_CLASSES
+#undef PRECOLOR_MAX_CLIQUE
+#undef NO_NULL_COLORS
+#undef NO_NULL_COLORS_EXTRA_CSTS
+#undef NO_NULL_COLORS_WITH_COSTS
+#if (defined(NO_NULL_COLORS_EXTRA_CSTS) || defined(NO_NULL_COLORS_WITH_COSTS)) && !defined(NO_NULL_COLORS)
+#error Chose your weapon!
+#endif
-#define DUMP_MPS /**< dumps the problem in "CPLEX"-MPS format. NOT fixed-column-MPS. */
-#define USE_SOS /**< uses Special Ordered Sets when using MPS */
-#define DO_SOLVE /**< solve the MPS output with CPLEX */
-#define DUMP_MATRICES /**< dumps all matrices completely. only recommended for small problems */
-#define DUMP_LP /**< dumps the problem in LP format. 'human-readable' equations etc... */
-#define DELETE_FILES /**< deletes all dumped files after use */
-#define EXPECT_FILENAME "runme" /** name of the expect-script */
+#include "irprog.h"
+
+#include <lpp/lpp.h>
+#include <lpp/lpp_net.h>
+#include <lpp/lpp_cplex.h>
+#include <lpp/lpp_remote.h>
+#include "xmalloc.h"
+#include "pset.h"
+#include "irdom_t.h"
+#include "iredges_t.h"
+#include "bechordal_t.h"
+#include "becopyopt.h"
+#include "becopystat.h"
+#include "besched_t.h"
+#include "phiclass.h"
-/* CPLEX-account related stuff */
-#define SSH_USER_HOST_PATH "kb61@sp-smp.rz.uni-karlsruhe.de"
-#define SSH_PASSWD "!cplex90"
+#define LPP_HOST "i44pc52"
+#define LPP_SOLVER "cplex"
-#define DEBUG_LVL SET_LEVEL_1
+#undef DUMP_MPS
static firm_dbg_module_t *dbg = NULL;
-#define SLOTS_NUM2POS 256
+#define MAX(a,b) ((a<b)?(b):(a))
+#define MIN(a,b) ((a<b)?(a):(b))
+#define EPSILON 0.00001
#define SLOTS_LIVING 32
-/**
- * A type storing names of the x variables in the form x[NUMBER]_[COLOR]
- */
-typedef struct _x_name_t {
- int n, c;
-} x_name_t;
-
-/**
- * For each node taking part in the opt-problem its position in the
- * x-variable-vector is stored in a set. This set maps the node-nr (given by
- * benumb) to the position in the vector.
- */
-typedef struct _num2pos_t {
- int num, pos;
-} num2pos_t;
+typedef struct _simpl_t {
+ struct list_head chain;
+ ir_node *irn;
+} simpl_t;
-/**
- * A type storing the unmodified '0-1 quadratic program' of the form
- * min f = xQx
- * udN: Ax = e
- * Bx <= e
- * x \in {0, 1}
- *
- * This problem is called the original problem
- */
typedef struct _problem_instance_t {
- ir_graph* irg;
- const char *name;
- int x_dim, A_dim, B_dim; /**< number of: x variables, rows in A, rows in B */
- x_name_t *x; /**< stores the names of the x variables. all possible colors for a node are ordered and occupy consecutive entries. lives in obstack ob. */
- set *num2pos; /**< maps node numbers to positions in x. */
- sp_matrix_t *Q, *A, *B; /**< the (sparse) matrices of this problem */
-
- /* needed only for linearizations */
- int bigM, maxQij, minQij;
-
- /* overhead needed to build this */
- struct obstack ob;
- int curr_color;
- int curr_row;
-} 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 *curr_lp; /**< points to the problem currently used */
+ lpp_t *dilp; /**< problem formulation directly as milp */
+#ifdef NO_NULL_COLORS_EXTRA_CSTS
+ int first_nnc_cst_idx; /**< the first index of a constraint belonging to no-null-colors stuff*/
+#endif
+ int first_nnc_var_idx; /**< the first index of a constraint belonging to no-null-colors stuff*/
-/* Nodes have consecutive numbers so this hash shoud be fine */
-#define HASH_NUM(num) num
+ int cst_counter, first_x_var, last_x_var;
+ char buf[32];
+ int all_simplicial;
+ pset *done;
+} problem_instance_t;
-static int set_cmp_num2pos(const void *x, const void *y, size_t size) {
- return ((num2pos_t *)x)->num != ((num2pos_t *)y)->num;
-}
+#define is_removed(irn) pset_find_ptr(pi->removed, irn)
-/**
- * Sets the first position of node with number num to pos.
- * See x_name_t *x in _problem_instance_t.
- */
-static INLINE void pi_set_first_pos(problem_instance_t *pi, int num, int pos) {
- num2pos_t find;
- find.num = num;
- find.pos = pos;
- set_insert(pi->num2pos, &find, sizeof(find), HASH_NUM(num));
-}
+#define is_color_possible(irn,color) arch_reg_is_allocatable(get_arch_env(pi->co), irn, -1, arch_register_for_index(pi->co->chordal_env->cls, color))
-/**
- * Get position by number. (First possible color)
- * returns -1 if not found.
+/*
+ * Some stuff for variable name handling.
*/
-static INLINE int pi_get_first_pos(problem_instance_t *pi, int num) {
- num2pos_t find, *found;
- find.num = num;
- found = set_find(pi->num2pos, &find, sizeof(find), HASH_NUM(num));
- if (found) {
- assert(pi->x[found->pos].n == num && (found->pos == 0 || pi->x[found->pos-1].n != num) && "pi->num2pos is broken!");
- return found->pos;
- } else
- return -1;
-}
-
-/**
- * Get position by number and color.
- * returns -1 if not found.
- */
-static INLINE int pi_get_pos(problem_instance_t *pi, int num, int col) {
- num2pos_t find, *found;
- find.num = num;
- int pos;
- found = set_find(pi->num2pos, &find, sizeof(find), HASH_NUM(num));
- if (!found)
- return -1;
- pos = found->pos;
- while (pos < pi->x_dim && pi->x[pos].n == num && pi->x[pos].c < col)
- pos++;
-
- if (pi->x[pos].n == num && pi->x[pos].c == col)
- return pos;
- else
- return -1;
-}
+#define mangle_cst(buf, prefix, nr) \
+ snprintf((buf), sizeof(buf), "%c%d", (prefix), (nr))
-static INLINE FILE *ffopen(const char *base, const char *ext, const char *mode) {
- FILE *out;
- char buf[1024];
+#define mangle_var1(buf, prefix, color) \
+ snprintf((buf), sizeof(buf), "%c%d", (prefix), (color))
- snprintf(buf, sizeof(buf), "%s.%s", base, ext);
- if (! (out = fopen(buf, mode))) {
- fprintf(stderr, "Cannot open file %s in mode %s\n", buf, mode);
- assert(0);
- }
- return out;
-}
+#define mangle_var2(buf, prefix, node_nr, color) \
+ snprintf((buf), sizeof(buf), "%c%d_%d", (prefix), (node_nr), (color))
-#ifdef DUMP_MATRICES
-/**
- * Dump the raw matrices of the problem to a file for debugging.
- */
-static void pi_dump_matrices(problem_instance_t *pi) {
- int i;
- FILE *out = ffopen(pi->name, "matrix", "wt");
+#define mangle_var3(buf, prefix, n1, n2, col) \
+ snprintf((buf), sizeof(buf), "%c%d_%d_%d", (prefix), (n1), (n2), (col))
- DBG((dbg, LEVEL_1, "Dumping raw...\n"));
- fprintf(out, "\n\nx-names =\n");
- for (i=0; i<pi->x_dim; ++i)
- fprintf(out, "%5d %2d\n", pi->x[i].n, pi->x[i].c);
+#define mangle_var_irn(buf, prefix, irn, color) \
+ mangle_var2((buf), (prefix), get_irn_graph_nr(irn), (color))
- fprintf(out, "\n\n-Q =\n");
- matrix_dump(pi->Q, out, -1);
+#define split_var(var, nnr, col) \
+ sscanf(var, "x%d_%d", (nnr), (col))
- fprintf(out, "\n\nA =\n");
- matrix_dump(pi->A, out, 1);
- fprintf(out, "\n\nB =\n");
- matrix_dump(pi->B, out, 1);
+/**
+ * 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 ir_node *ifn) {
+ int i, o, size = 0;
+ ir_node **all, *curr;
+ be_ifg_t *ifg = pi->co->chordal_env->ifg;
+ void *iter = be_ifg_neighbours_iter_alloca(ifg);
+
+ all = alloca(be_ifg_degree(ifg, ifn) * sizeof(*all));
+
+ /* get all non-removed neighbors */
+ be_ifg_foreach_neighbour(ifg, iter, 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 (!be_ifg_connected(ifg, all[i], all[o]))
+ return 0;
+
+ /* all edges exist so this is a clique */
+ return 1;
+}
- fclose(out);
+static int irn_cmp(const void *a, const void *b, size_t n)
+{
+ return a != b;
}
-#endif
-#ifdef DUMP_LP
/**
- * Dumps the problem instance as a MILP. The original problem is transformed into:
- * min f = es - Mex
- * udN: Qx -y -s +Me = 0
- * Ax = e
- * Bx <= e
- * y <= 2M(e-x)
- * x \in N y, s >= 0
- *
- * with M >= max sum Q'ij * x_j
- * i j
+ * Iterative finds and 'removes' from the graph all nodes which are
+ * simplicial AND not member of a equal-color-wish
*/
-static void pi_dump_lp(problem_instance_t *pi) {
- int i, max_abs_Qij;
- matrix_elem_t *e;
- FILE *out = ffopen(pi->name, "lpo", "wt");
-
- DBG((dbg, LEVEL_1, "Dumping lp_org...\n"));
- /* calc the big M for Q */
- max_abs_Qij = pi->maxQij;
- if (-pi->minQij > max_abs_Qij)
- max_abs_Qij = -pi->minQij;
- pi->bigM = pi->A_dim * max_abs_Qij;
- DBG((dbg, LEVEL_2, "BigM = %d\n", pi->bigM));
-
- /* generate objective function */
- fprintf(out, "min: ");
- for (i=0; i<pi->x_dim; ++i)
- fprintf(out, "+s%d_%d -%dx%d_%d ", pi->x[i].n, pi->x[i].c, pi->bigM, pi->x[i].n, pi->x[i].c);
- fprintf(out, ";\n\n");
-
- /* constraints for former objective function */
- for (i=0; i<pi->x_dim; ++i) {
- matrix_foreach_in_row(pi->Q, i, e) {
- int Qio = e->val;
- if (Qio == 1)
- fprintf(out, "+x%d_%d ", pi->x[e->col].n, pi->x[e->col].c);
- else if(Qio == -1)
- fprintf(out, "-x%d_%d ", pi->x[e->col].n, pi->x[e->col].c);
- else
- fprintf(out, "%+dx%d_%d ", Qio, pi->x[e->col].n, pi->x[e->col].c);
+static void pi_find_simplicials(problem_instance_t *pi) {
+ ir_node *irn;
+ int redo = 1;
+ int n_nodes = 0;
+ const be_ifg_t *ifg = pi->co->chordal_env->ifg;
+ void *iter = be_ifg_neighbours_iter_alloca(ifg);
+
+ DBG((dbg, LEVEL_2, "Find simlicials...\n"));
+
+ while (redo) {
+ arch_register_req_t req;
+ redo = 0;
+ be_ifg_foreach_node(ifg, iter, irn) {
+ if (!is_removed(irn) && !is_optimizable(get_arch_env(pi->co), irn, &req) && !is_optimizable_arg(pi->co, irn)) {
+ if (pi_is_simplicial(pi, irn)) {
+ simpl_t *s = xmalloc(sizeof(*s));
+ s->irn = irn;
+ list_add(&s->chain, &pi->simplicials);
+ pset_insert_ptr(pi->removed, irn);
+ redo = 1;
+ DBG((dbg, LEVEL_2, " Removed %+F\n", irn));
+ }
+ }
}
- fprintf(out, "-y%d_%d -s%d_%d +%d= 0;\n", pi->x[i].n, pi->x[i].c, pi->x[i].n, pi->x[i].c, pi->bigM);
- }
- fprintf(out, "\n\n");
-
- /* constraints for (special) complementary condition */
- for (i=0; i<pi->x_dim; ++i)
- fprintf(out, "y%d_%d <= %d - %dx%d_%d;\n", pi->x[i].n, pi->x[i].c, 2*pi->bigM, 2*pi->bigM, pi->x[i].n, pi->x[i].c);
- fprintf(out, "\n\n");
-
- /* knapsack constraints */
- for (i=0; i<pi->A_dim; ++i) {
- matrix_foreach_in_row(pi->Q, i, e)
- fprintf(out, "+x%d_%d ", pi->x[e->col].n, pi->x[e->col].c);
- fprintf(out, " = 1;\n");
}
- fprintf(out, "\n\n");
- /* interference graph constraints */
- for (i=0; i<pi->B_dim; ++i) {
- matrix_foreach_in_row(pi->Q, i, e)
- fprintf(out, "+x%d_%d ", pi->x[e->col].n, pi->x[e->col].c);
- fprintf(out, " <= 1;\n");
+ /* TODO: Count inside the last look */
+ be_ifg_foreach_node(ifg, iter, irn) {
+ n_nodes++;
}
- fprintf(out, "\n\n");
- /* integer constraints */
- fprintf(out, "int x%d_%d", pi->x[0].n, pi->x[0].c);
- for (i=1; i<pi->x_dim; ++i)
- fprintf(out, ", x%d_%d", pi->x[i].n, pi->x[i].c);
- fprintf(out, ";\n");
-
- fclose(out);
+ if (n_nodes == pset_count(pi->removed))
+ pi->all_simplicial = 1;
}
-#endif
-#ifdef DUMP_MPS
-/**
- * Dumps an mps file representing the problem. This is NOT the old-style,
- * fixed-column format. Some white spaces are important, in general spaces
- * are separators, MARKER-lines are used in COLUMN section to define binaries.
- */
-//BETTER use last 2 fields in COLUMNS section
-static void pi_dump_mps(problem_instance_t *pi) {
- int i, max_abs_Qij;
- matrix_elem_t *e;
- FILE *out = ffopen(pi->name, "mps", "wt");
-
- DBG((dbg, LEVEL_1, "Dumping mps...\n"));
- max_abs_Qij = pi->maxQij;
- if (-pi->minQij > max_abs_Qij)
- max_abs_Qij = -pi->minQij;
- pi->bigM = pi->A_dim * max_abs_Qij;
- DBG((dbg, LEVEL_2, "BigM = %d\n", pi->bigM));
-
- fprintf(out, "NAME %s\n", pi->name);
-
- fprintf(out, "ROWS\n");
- fprintf(out, " N obj\n");
- for (i=0; i<pi->x_dim; ++i)
- fprintf(out, " E cQ%d\n", i);
- for (i=0; i<pi->A_dim; ++i)
- fprintf(out, " E cA%d\n", i);
- for (i=0; i<pi->B_dim; ++i)
- fprintf(out, " L cB%d\n", i);
- for (i=0; i<pi->x_dim; ++i)
- fprintf(out, " L cy%d\n", i);
-
- fprintf(out, "COLUMNS\n");
- /* the x vars come first */
- /* mark them as binaries */
- fprintf(out, " MARKI0\t'MARKER'\t'INTORG'\n");
-#ifdef USE_SOS
- int sos_cnt = 0;
- fprintf(out, " S1 SOS_%d\t'MARKER'\t'SOSORG'\n", sos_cnt++);
-#endif
- for (i=0; i<pi->x_dim; ++i) {
-#ifdef USE_SOS
- if (i>0 && pi->x[i].n != pi->x[i-1].n) {
- fprintf(out, " SOS_%d\t'MARKER'\t'SOSEND'\n", sos_cnt++);
- fprintf(out, " S1 SOS_%d\t'MARKER'\t'SOSORG'\n", sos_cnt++);
- }
-#endif
- /* participation in objective */
- fprintf(out, " x%d_%d\tobj\t%d\n", pi->x[i].n, pi->x[i].c, -pi->bigM);
- /* in Q */
- matrix_foreach_in_col(pi->Q, i, e)
- fprintf(out, " x%d_%d\tcQ%d\t%d\n", pi->x[i].n, pi->x[i].c, e->row, e->val);
- /* in A */
- matrix_foreach_in_col(pi->A, i, e)
- fprintf(out, " x%d_%d\tcA%d\t%d\n", pi->x[i].n, pi->x[i].c, e->row, e->val);
- /* in B */
- matrix_foreach_in_col(pi->B, i, e)
- fprintf(out, " x%d_%d\tcB%d\t%d\n", pi->x[i].n, pi->x[i].c, e->row, e->val);
- /* in y */
- fprintf(out, " x%d_%d\tcy%d\t%d\n", pi->x[i].n, pi->x[i].c, i, 2*pi->bigM);
- }
-
-#ifdef USE_SOS
- fprintf(out, " SOS_%d\t'MARKER'\t'SOSEND'\n", sos_cnt++);
+#ifdef NO_NULL_COLORS
+static void pi_add_constr_no_null_colors(problem_instance_t *pi) {
+ int cst_counter=0, col, var_idx, cst_idx;
+ int n_colors = pi->co->chordal_env->cls->n_regs;
+ char buf[40];
+
+ for (col = 0; col < n_colors; ++col) {
+ mangle_var1(buf, 'u', col);
+#ifdef NO_NULL_COLORS_WITH_COSTS
+ var_idx = lpp_add_var(pi->curr_lp, buf, lpp_binary, 1.0 / (double) (1 << (col+1)) );
+#else
+ var_idx = lpp_add_var(pi->curr_lp, buf, lpp_binary, 1.0 / (2.0 * n_colors) );
#endif
- fprintf(out, " MARKI1\t'MARKER'\t'INTEND'\n"); /* end of marking */
-
- /* next the s vars */
- for (i=0; i<pi->x_dim; ++i) {
- /* participation in objective */
- fprintf(out, " s%d_%d\tobj\t%d\n", pi->x[i].n, pi->x[i].c, 1);
- /* in Q */
- fprintf(out, " s%d_%d\tcQ%d\t%d\n", pi->x[i].n, pi->x[i].c, i, -1);
+ if (!pi->first_nnc_var_idx)
+ pi->first_nnc_var_idx = var_idx;
}
- /* next the y vars */
- for (i=0; i<pi->x_dim; ++i) {
- /* in Q */
- fprintf(out, " y%d_%d\tcQ%d\t%d\n", pi->x[i].n, pi->x[i].c, i, -1);
- /* in y */
- fprintf(out, " y%d_%d\tcy%d\t%d\n", pi->x[i].n, pi->x[i].c, i, 1);
+#ifdef NO_NULL_COLORS_EXTRA_CSTS
+ for (col = 0; col < n_colors; ++col) {
+ mangle_cst(buf, 'U', cst_counter++);
+ cst_idx = lpp_add_cst(pi->curr_lp, buf, lpp_greater, 0);
+ if (!pi->first_nnc_cst_idx)
+ pi->first_nnc_cst_idx = cst_idx;
+ lpp_set_factor_fast(pi->curr_lp, cst_idx, pi->first_nnc_var_idx+col, -1);
}
-
- fprintf(out, "RHS\n");
- for (i=0; i<pi->x_dim; ++i)
- fprintf(out, " rhs\tcQ%d\t%d\n", i, -pi->bigM);
- for (i=0; i<pi->A_dim; ++i)
- fprintf(out, " rhs\tcA%d\t%d\n", i, 1);
- for (i=0; i<pi->B_dim; ++i)
- fprintf(out, " rhs\tcB%d\t%d\n", i, 1);
- for (i=0; i<pi->x_dim; ++i)
- fprintf(out, " rhs\tcy%d\t%d\n", i, 2*pi->bigM);
-
- fprintf(out, "ENDATA\n");
- fclose(out);
-
- out = ffopen(pi->name, "mst", "wt");
- fprintf(out, "NAME\n");
- for (i=0; i<pi->x_dim; ++i) {
- int val, n, c;
- n = pi->x[i].n;
- c = pi->x[i].c;
- if (get_irn_color(get_irn_for_graph_nr(pi->irg, n)) == c)
- val = 1;
- else
- val = 0;
- fprintf(out, " x%d_%d\t%d\n", n, c, val);
- }
- fprintf(out, "ENDATA\n");
- fclose(out);
-}
#endif
-#ifdef DO_SOLVE
-/**
- * Invoke an external solver
- */
-static void pi_solve_ilp(problem_instance_t *pi) {
- FILE *out;
-
- /* write command file for CPLEX */
- out = ffopen(pi->name, "cmd", "wt");
- fprintf(out, "read %s.mps\n", pi->name);
- fprintf(out, "read %s.mst\n", pi->name);
- fprintf(out, "set mip strategy mipstart 1\n");
- fprintf(out, "optimize\n");
- fprintf(out, "set logfile %s.sol\n", pi->name);
- fprintf(out, "display solution variables 1-%d\n", pi->x_dim);
- fprintf(out, "set logfile cplex.log\n");
- fprintf(out, "quit\n");
- fclose(out);
-
- /* write expect-file for copying problem to RZ */
- out = ffopen(EXPECT_FILENAME, "exp", "wt");
- fprintf(out, "#! /usr/bin/expect\n");
- fprintf(out, "spawn scp %s.mps %s.mst %s.cmd %s:\n", pi->name, pi->name, pi->name, SSH_USER_HOST_PATH);
- fprintf(out, "expect \":\"\n");
- fprintf(out, "send \"%s\\n\"\n", SSH_PASSWD);
- fprintf(out, "interact\n");
-
- fprintf(out, "spawn ssh %s \"./cplex90 < %s.cmd\"\n", SSH_USER_HOST_PATH, pi->name);
- fprintf(out, "expect \":\"\n");
- fprintf(out, "send \"%s\\n\"\n", SSH_PASSWD);
- fprintf(out, "interact\n");
-
- fprintf(out, "spawn scp %s:%s.sol .\n", SSH_USER_HOST_PATH, pi->name);
- fprintf(out, "expect \":\"\n");
- fprintf(out, "send \"%s\\n\"\n", SSH_PASSWD);
- fprintf(out, "interact\n");
- fclose(out);
-
- /* call the expect script */
- chmod(EXPECT_FILENAME ".exp", 0700);
- system(EXPECT_FILENAME ".exp");
-}
-
-/**
- * Sets the colors of irns according to the values of variables found in the
- * output file of the solver.
- */
-static void pi_apply_solution(problem_instance_t *pi) {
- FILE *in = ffopen(pi->name, "sol", "rt");
-
- if (!in)
- return;
- DBG((dbg, LEVEL_1, "Applying solution...\n"));
- while (!feof(in)) {
- char buf[1024];
- int num = -1, col = -1, val = -1;
- if (fscanf(in, "x%d_%d %d.%s\n", &num, &col, &val, buf) != 3) {
- while(fscanf(in, "%1020s\n", buf) != 1);
- continue;
- }
- if (val == 1) {
- DBG((dbg, LEVEL_1, "x%d_%d = %d\n", num, col, val));
- set_irn_color(get_irn_for_graph_nr(pi->irg, num), col);
- }
+#ifndef NO_NULL_COLORS_WITH_COSTS
+ for (col = 0; col < n_colors - 1; ++col) {
+ mangle_cst(buf, 'U', cst_counter++);
+ cst_idx = lpp_add_cst(pi->curr_lp, buf, lpp_greater, 0);
+ lpp_set_factor_fast(pi->curr_lp, cst_idx, pi->first_nnc_var_idx+col , 1);
+ lpp_set_factor_fast(pi->curr_lp, cst_idx, pi->first_nnc_var_idx+col+1, -1);
}
- fclose(in);
-}
-#endif /* DO_SOLVE */
-
-#ifdef DELETE_FILES
-static void pi_delete_files(problem_instance_t *pi) {
- char buf[1024];
- int end = snprintf(buf, sizeof(buf), "%s", pi->name);
-#ifdef DUMP_MATRICES
- snprintf(buf+end, sizeof(buf)-end, ".matrix");
- remove(buf);
-#endif
-#ifdef DUMP_MPS
- snprintf(buf+end, sizeof(buf)-end, ".mps");
- remove(buf);
- snprintf(buf+end, sizeof(buf)-end, ".mst");
- remove(buf);
- snprintf(buf+end, sizeof(buf)-end, ".cmd");
- remove(buf);
- remove(EXPECT_FILENAME ".exp");
-#endif
-#ifdef DUMP_LP
- snprintf(buf+end, sizeof(buf)-end, ".lp");
- remove(buf);
#endif
+
}
#endif
/**
- * Collects all irns in currently processed register class
+ * Add coloring-force conditions
+ * Matrix A: knapsack constraint for each node
*/
-static void pi_collect_x_names(ir_node *block, void *env) {
- problem_instance_t *pi = env;
- struct list_head *head = &get_ra_block_info(block)->border_head;
- border_t *curr;
-
- list_for_each_entry_reverse(border_t, curr, head, list)
- if (curr->is_def && curr->is_real) {
- x_name_t xx;
- pi->A_dim++; /* one knapsack constraint for each node */
-
- xx.n = get_irn_graph_nr(curr->irn);
- pi_set_first_pos(pi, xx.n, pi->x_dim);
- //TODO iterate over all possible colors !!MUST BE IN ORDER!!
- for (xx.c=0; xx.c<MAX_COLORS; ++xx.c) {
- if (!is_possible_color(irn, xx.c))
- continue;
- DBG((dbg, LEVEL_2, "Adding %n %d\n", curr->irn, xx.c));
- obstack_grow(&pi->ob, &xx, sizeof(xx));
- pi->x_dim++; /* one x variable for each node and color */
+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, lpp_equal, 1);
+
+ /* iterate over all possible colors in order */
+ bitset_clear_all(pos_regs);
+ arch_get_allocatable_regs(get_arch_env(pi->co), curr->irn, -1, pi->co->chordal_env->cls, pos_regs);
+ bitset_foreach(pos_regs, col) {
+ int var_idx;
+ mangle_var2(pi->buf, 'x', nnr, col);
+ var_idx = lpp_add_var(pi->curr_lp, pi->buf, lpp_binary, 0);
+ if (!pi->first_x_var)
+ pi->first_x_var = var_idx;
+ pi->last_x_var = var_idx;
+ lpp_set_factor_fast(pi->curr_lp, cst_idx, var_idx, 1);
+#ifdef NO_NULL_COLORS_EXTRA_CSTS
+ lpp_set_factor_fast(pi->curr_lp, pi->first_nnc_cst_idx+col, var_idx, 1);
+#endif
+ }
}
- }
+ }
}
/**
- * Checks if all nodes in living are live_out in block block.
+ * 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_out(ir_node *block, pset *living) {
+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_out(block, n)) {
+ if (!is_live_in(block, n)) {
pset_break(living);
return 0;
}
/**
* Finds cliques in the interference graph, considering only nodes
- * for which the color pi->curr_color is possible. Finds only 'maximal-cliques',
- * viz cliques which are not conatained in another one.
- * This is used for the matrix B.
+ * 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_clique_finder(ir_node *block, void *env) {
- problem_instance_t *pi = env;
+static void pi_add_constr_B(problem_instance_t *pi, int color) {
enum phase_t {growing, shrinking} phase = growing;
- struct list_head *head = &get_ra_block_info(block)->border_head;
border_t *b;
+ pmap_entry *pme;
pset *living = pset_new_ptr(SLOTS_LIVING);
- list_for_each_entry_reverse(border_t, b, head, list) {
- const ir_node *irn = b->irn;
- if (!is_possible_color(n, pi->curr_col))
- continue;
+ 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);
+#ifdef NO_NULL_COLORS
+ cst_idx = lpp_add_cst(pi->curr_lp, pi->buf, lpp_less, 0);
+#else
+ cst_idx = lpp_add_cst(pi->curr_lp, pi->buf, lpp_less, 1);
+#endif
+ 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);
+ }
+#ifdef NO_NULL_COLORS
+ lpp_set_factor_fast(pi->curr_lp, cst_idx, pi->first_nnc_var_idx+color, -1.0);
+#endif
+ pi->cst_counter++;
+ }
+ pset_remove_ptr(living, irn);
+ phase = shrinking;
+ }
+ }
+ }
+ assert(0 == pset_count(living));
+ del_pset(living);
+}
- 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_out */
- if (phase == growing && pset_count(living) >= 2 && !all_live_out(block, living)) {
- ir_node *n;
- for (n = pset_first(living); n; n = pset_next(living)) {
- int pos = pi_get_pos(pi, get_irn_graph_nr(n), pi->curr_color);
- matrix_set(pi->B, pi->curr_row, pos, 1);
- DBG((dbg, LEVEL_2, "B[%d, %d] := %d\n", pi->curr_row, pos, 1));
+/**
+ * Generates constraints which interrelate x with y variables.
+ * x1 and x2 have the different colors ==> y_12 = 1
+ */
+static void pi_add_constr_E(problem_instance_t *pi) {
+ unit_t *curr;
+ bitset_t *root_regs, *arg_regs, *work_regs;
+ int cst_counter = 0;
+ unsigned nregs = pi->co->chordal_env->cls->n_regs;
+ root_regs = bitset_alloca(nregs);
+ arg_regs = bitset_alloca(nregs);
+ work_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) {
+ 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(get_arch_env(pi->co), root, -1, 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(get_arch_env(pi->co), arg, -1, pi->co->chordal_env->cls, arg_regs);
+
+ /* Introduce new variable and set factor in objective function */
+ mangle_var2(buf, 'y', rootnr, argnr);
+ y_idx = lpp_add_var(pi->curr_lp, buf, lpp_binary, curr->costs[i]);
+
+ /* 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_copy(work_regs, root_regs);
+ bitset_and(work_regs, arg_regs);
+ bitset_foreach(work_regs, color) {
+ int root_idx, arg_idx, cst_idx;
+ mangle_var2(buf, 'x', rootnr, color);
+ root_idx = lpp_get_var_idx(pi->curr_lp, buf);
+ mangle_var2(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, lpp_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, lpp_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);
+ }
+ /* For all colors root and arg have "disjunct", add 1 constraints to E.
+ * If root gets a color the arg is not possible to get then they will
+ * definetly get different colors. So y has to be 1.
+ * Vice versa for arg.
+ */
+ bitset_copy(work_regs, root_regs);
+ bitset_xor(work_regs, arg_regs);
+ bitset_foreach(work_regs, color) {
+ int root_idx, arg_idx, cst_idx;
+ mangle_var2(buf, 'x', rootnr, color);
+ root_idx = lpp_get_var_idx(pi->curr_lp, buf);
+ mangle_var2(buf, 'x', argnr, color);
+ arg_idx = lpp_get_var_idx(pi->curr_lp, buf);
+
+ mangle_cst(buf, 'E', cst_counter++);
+ cst_idx = lpp_add_cst(pi->curr_lp, buf, lpp_less, 0);
+ if (bitset_is_set(root_regs, color)) {
+ /* add root-y <= 0 */
+ lpp_set_factor_fast(pi->curr_lp, cst_idx, root_idx, 1);
+ lpp_set_factor_fast(pi->curr_lp, cst_idx, y_idx, -1);
+ } else {
+ assert(bitset_is_set(arg_regs, color) && "bitset_xor is buggy");
+ /* add arg-y <= 0 */
+ lpp_set_factor_fast(pi->curr_lp, cst_idx, arg_idx, 1);
+ lpp_set_factor_fast(pi->curr_lp, cst_idx, y_idx, -1);
}
- pi->curr_row++;
}
- pset_remove_ptr(living, irn);
- phase = shrinking;
}
}
+}
- del_pset(living);
+static INLINE int get_costs(problem_instance_t *pi, ir_node *phi, ir_node *irn) {
+ int i;
+ unit_t *curr;
+ /* search optimization unit for phi */
+ list_for_each_entry(unit_t, curr, &pi->co->units, units)
+ if (curr->nodes[0] == phi) {
+ for (i=1; i<curr->node_count; ++i)
+ if (curr->nodes[i] == irn)
+ return curr->costs[i];
+ assert(0 && "irn must occur in this ou");
+ }
+ assert(0 && "phi must be found in a ou");
+ return 0;
+}
+
+static void clique_path_walker(ir_node *block, void *env) {
+ problem_instance_t *pi = env;
+ int count, arity, row, col, other_row, *costs;
+ ir_node **phis, *phi, *irn, **phi_matrix;
+ pset *done;
+ bitset_t *candidates;
+
+ /* Count all phi nodes of this block */
+ for (count=0, irn = sched_first(block); is_Phi(irn); irn = sched_next(irn))
+ count++;
+
+ /* We at least 2 phi nodes for this class of inequalities */
+ if (count < 2)
+ return;
+
+ /* Build the \Phi-Matrix */
+ arity = get_irn_arity(sched_first(block));
+ phis = alloca(count * sizeof(*phis));
+ costs = alloca(count * sizeof(costs));
+ phi_matrix = alloca(count*arity * sizeof(*phi_matrix));
+ candidates = bitset_alloca(count);
+
+ phi = sched_first(block);
+ for (row=0; row<count; ++row) {
+ phis[row] = phi;
+ for (col=0; col<arity; ++col) {
+ ir_node *arg = get_irn_n(phi, col);
+ /* Sort out all arguments interfering with its phi */
+ if (nodes_interfere(pi->co->chordal_env, phi, arg)) {
+ phi_matrix[row*arity + col] = NULL;
+ } else
+ phi_matrix[row*arity + col] = arg;
+ }
+ phi = sched_next(phi);
+ }
+
+ /* Now find the interesting patterns in the matrix:
+ * All nodes which are used at least twice in a column. */
+ /* columnwise ... */
+ for (col=0; col<arity; ++col) {
+ done = pset_new_ptr_default();
+ for (row=0; row<count; ++row) {
+ irn = phi_matrix[row*arity + col];
+ /*
+ * is this an interfering arg (NULL)
+ * or has the irn already been processed in this col?
+ */
+ if (!irn || pset_find_ptr(done, irn))
+ continue;
+ else
+ pset_insert_ptr(done, irn);
+
+ /* insert irn in candidates */
+ bitset_clear_all(candidates);
+ bitset_set(candidates, row);
+ /* search the irn in the rows below */
+ for (other_row = row+1; other_row<count; ++other_row)
+ if (irn == phi_matrix[other_row*arity + col]) {
+ /* found the irn in the same col in another row */
+ bitset_set(candidates, other_row);
+ }
+
+ /* now we know all occurences of irn in this col */
+ if (bitset_popcnt(candidates) < 2)
+ continue;
+
+ /* generate an unequation finally.
+ * phis are indexed in the bitset,
+ * shared argument is irn
+ * rhs is phi_count - 1 */
+ {
+ char buf[32];
+ ir_node *root;
+ int pos, irnnr, rootnr, cst_idx, y_idx, cst_counter = 0;
+ int minimal_unequal_count = bitset_popcnt(candidates)-1;
+
+ irnnr = get_irn_graph_nr(irn);
+ mangle_cst(buf, 'M', cst_counter++);
+ cst_idx = lpp_add_cst(pi->curr_lp, buf, lpp_greater, minimal_unequal_count);
+
+ /* for all phis */
+ bitset_foreach(candidates, pos) {
+ root = phis[pos];
+ rootnr = get_irn_graph_nr(root);
+ mangle_var2(buf, 'y', rootnr, irnnr);
+ y_idx = lpp_get_var_idx(pi->curr_lp, buf);
+ lpp_set_factor_fast(pi->curr_lp, cst_idx, y_idx, 1);
+ }
+ }
+ }
+ del_pset(done); /* clear set for next row */
+ } /*next col*/
}
/**
- * Generate the initial problem matrices and vectors.
+ * Matrix M: Multi-Arg-Use. Interrelates different \phi-functions
+ * in the same block, iff they use the same arg at the same pos.
+ * Only one of the phis can get the arg.
*/
-static problem_instance_t *new_pi(const copy_opt_t *co) {
- DBG((dbg, LEVEL_1, "Generating new instance...\n"));
- problem_instance_t *pi = calloc(1, sizeof(*pi));
- pi->irg = co->irg;
- pi->name = get_entity_name(get_irg_entity(co->irg));
- pi->num2pos = new_set(set_cmp_num2pos, SLOTS_NUM2POS);
- pi->bigM = 1;
-
- /* Vector x
- * one entry per node and possible color */
- obstack_init(&pi->ob);
- dom_tree_walk_irg(co->irg, pi_collect_x_names, NULL, &pi->ob);
- pi->x = obstack_finish(&pi->ob);
-
- /* Matrix Q
- * weights for the 'same-color-optimization' target */
- {
- unit_t *curr;
- pi->Q = new_matrix(pi->x_dim, pi->x_dim);
-
- list_for_each_entry(unit_t, curr, &co->units, units) {
- const ir_node *root, *arg;
- int rootnr, argnr;
- unsigned rootpos, argpos;
- int i;
-
- root = curr->nodes[0];
- rootnr = get_irn_graph_nr(root);
- rootpos = pi_get_first_pos(pi, rootnr);
- for (i = 1; i < curr->node_count; ++i) {
- int weight = -get_weight(root, arg);
- arg = curr->nodes[i];
- argnr = get_irn_graph_nr(arg);
- argpos = pi_get_first_pos(pi, argnr);
-
- DBG((dbg, LEVEL_2, "Q[%n, %n] := %d\n", root, arg, weight));
- /* for all colors root and arg have in common, set the weight for
- * this pair in the objective function matrix Q */
- while (rootpos < pi->x_dim && argpos < pi->x_dim &&
- pi->x[rootpos].n == rootnr && pi->x[argpos].n == argnr) {
- if (pi->x[rootpos].c < pi->x[argpos].c)
- ++rootpos;
- else if (pi->x[rootpos].c > pi->x[argpos].c)
- ++argpos;
- else {
- matrix_set(pi->Q, rootpos++, argpos++, weight);
-
- if (weight < pi->minQij) {
- DBG((dbg, LEVEL_2, "minQij = %d\n", weight));
- pi->minQij = weight;
- }
- if (weight > pi->maxQij) {
- DBG((dbg, LEVEL_2, "maxQij = %d\n", weight));
- pi->maxQij = weight;
- }
- }
+static void pi_add_clique_path_cstr(problem_instance_t *pi) {
+ DBG((dbg, LEVEL_2, "Adding clique path constraints...\n"));
+ dom_tree_walk_irg(get_irg(pi->co), clique_path_walker, NULL, pi);
+}
+
+#ifndef PATH_CONSTRAINTS_FOR_CLASSES
+/**
+ * Matrix P: Path contraints.
+ * If 2 nodes interfere and there is a path of equal-color-edges
+ * connecting them, then at least one of those equal-color-edges
+ * will break and cause some costs.
+ */
+static void pi_add_path_cstr(problem_instance_t *pi) {
+ unit_t *curr;
+ int cst_counter = 0;
+ DBG((dbg, LEVEL_2, "Adding path constraints...\n"));
+
+ /* for all optimization units (only phis) */
+ list_for_each_entry(unit_t, curr, &pi->co->units, units) {
+ int i, o, rootnr;
+
+ if (curr->min_nodes_costs == 0)
+ continue;
+
+ rootnr = get_irn_graph_nr(curr->nodes[0]);
+ /* check all argument pairs for interference */
+ for (i=1; i<curr->node_count; ++i) {
+ const ir_node *arg1 = curr->nodes[i];
+ int arg1nr = get_irn_graph_nr(arg1);
+ for (o=i+1; o<curr->node_count; ++o) {
+ const ir_node *arg2 = curr->nodes[o];
+ int arg2nr = get_irn_graph_nr(arg2);
+ if (nodes_interfere(pi->co->chordal_env, arg1, arg2)) {
+ int cst_idx, y_idx;
+ char buf[32];
+
+ mangle_cst(buf, 'P', cst_counter++);
+ cst_idx = lpp_add_cst(pi->curr_lp, buf, lpp_greater, 1);
+
+ mangle_var2(buf, 'y', rootnr, arg1nr);
+ y_idx = lpp_get_var_idx(pi->curr_lp, buf);
+ lpp_set_factor_fast(pi->curr_lp, cst_idx, y_idx, 1);
+
+ mangle_var2(buf, 'y', rootnr, arg2nr);
+ y_idx = lpp_get_var_idx(pi->curr_lp, buf);
+ lpp_set_factor_fast(pi->curr_lp, cst_idx, y_idx, 1);
}
}
}
}
+}
+#endif
+
+#ifdef PATH_CONSTRAINTS_FOR_CLASSES
+static INLINE int get_y_var_idx(problem_instance_t *pi, int nnr1, int nnr2) {
+ int res;
+ char buf[30];
+
+ mangle_var2(buf, 'y', nnr1, nnr2);
+ if ((res = lpp_get_var_idx(pi->curr_lp, buf)) != -1)
+ return res;
+
+ mangle_var2(buf, 'y', nnr2, nnr1);
+ if ((res = lpp_get_var_idx(pi->curr_lp, buf)) != -1)
+ return res;
- /* Matrix A
- * knapsack constraint for each node */
- {
- int row = 0, col = 0;
- pi->A = new_matrix(pi->A_dim, pi->x_dim);
- while (col < pi->x_dim) {
- int curr_n = pi->x[col].n;
- while (col < pi->x_dim && pi->x[col].n == curr_n) {
- DBG((dbg, LEVEL_2, "A[%d, %d] := %d\n", row, col, 1));
- matrix_set(pi->A, row, col++, 1);
+ assert(0 && "One of them must work");
+ return -1;
+}
+
+static void check_ecc_and_add_cut(problem_instance_t *pi, ir_node **path, int length, pset *remain, ir_node *tgt) {
+ if (path[length-1] == tgt) { /* we found a path */
+ int cst_idx, var_idx, i, nnr1, nnr2;
+ char buf[30];
+
+ /* add cut to ilp */
+ mangle_cst(buf, 'Q', pi->cst_counter++);
+ cst_idx = lpp_add_cst(pi->curr_lp, buf, lpp_greater, 1);
+
+ /* add all vars along the path */
+ nnr2 = get_irn_graph_nr(path[0]);
+ for (i=1; i<length; ++i) {
+ nnr1 = nnr2;
+ nnr2 = get_irn_graph_nr(path[i]);
+ var_idx = get_y_var_idx(pi, nnr1, nnr2);
+ lpp_set_factor_fast(pi->curr_lp, cst_idx, var_idx, 1);
+ }
+ } else { /* try to extend the path */
+ be_chordal_env_t *cenv = pi->co->chordal_env;
+ const ir_edge_t *edge;
+ ir_node *end = path[length-1];
+ ir_node **next = alloca(pset_count(remain) * sizeof(*next));
+ int i, o, max, next_pos = 0;
+ pset *done = pset_new_ptr_default();
+
+ /* find all potential next nodes on path */
+ /* args of phis */
+ if (is_Phi(end))
+ for(i=0, max=get_irn_arity(end); i<max; ++i) {
+ ir_node *arg = get_irn_n(end, i);
+ if (!pset_find_ptr(done, arg) && pset_find_ptr(remain, arg)) {
+ next[next_pos++] = arg;
+ pset_insert_ptr(done, arg);
+ }
}
- ++row;
+ /* outs of phis and other nodes */
+ foreach_out_edge(end, edge) {
+ ir_node *user = edge->src;
+ if (is_Phi(user) && !pset_find_ptr(done, user) && pset_find_ptr(remain, user)) {
+ next[next_pos++] = user;
+ pset_insert_ptr(done, user);
+ }
+ }
+ del_pset(done);
+
+
+ /* delete all potential nodes with interferences to other nodes in the path */
+ for (i=0; i<next_pos; ++i) {
+ ir_node *nn = next[i];
+
+ /* if next is the tgt, it may interfere with path[0],
+ * so skip the first check */
+ o = (nn == tgt && length > 1) ? 1 : 0;
+
+ for(; o<length; ++o)
+ if (nodes_interfere(cenv, nn, path[o])) {
+ next[i] = NULL;
+ break;
+ }
+ }
+ /* now we have all possible nodes in next; impossibles are NULL */
+
+ /* try to finish path with all possible nodes */
+ for (i=0; i<next_pos; ++i) {
+ if (!next[i]) /* this was an impossible node */
+ continue;
+
+ path[length] = next[i];
+ pset_remove_ptr(remain, next[i]);
+ check_ecc_and_add_cut(pi, path, length+1, remain, tgt);
+ pset_insert_ptr(remain, next[i]);
}
- assert(row == pi->A_dim);
}
+}
+
+static void path_cstr_for_classes_walker(ir_node *irn, void *env) {
+ problem_instance_t *pi = env;
+ be_chordal_env_t *cenv;
+ int i, o, max;
+ ir_node *m, **cls;
+ pset *class = get_phi_class(irn);
+ if (!class || pset_find_ptr(pi->done, class))
+ return;
+
+ pset_insert_ptr(pi->done, class);
+
+ /* pset to array */
+ max = pset_count(class);
+ cls = alloca(max * sizeof(*cls));
+ for(i=0, m = pset_first(class); m; i++, m = pset_next(class)) {
+ DBG((dbg, LEVEL_1, " class member: %+F\n", m));
+ cls[i] = m;
+ }
+
+ cenv = pi->co->chordal_env;
+ for(i=0; i<max; ++i) {
+ ir_node **path = alloca(max * sizeof(*path));
+ pset *remain = pset_new_ptr(8);
+ pset_insert_pset_ptr(remain, class);
+
+ /* add cls[i] to path and remove it from remainder */
+ path[0] = cls[i];
+ pset_remove_ptr(remain, cls[i]);
+
+ for(o=i+1; o<max; ++o)
+ if (nodes_interfere(cenv, cls[i], cls[o]))
+ check_ecc_and_add_cut(pi, path, 1, remain, cls[o]);
+
+ /* insert back into remainder */
+ pset_insert_ptr(remain, cls[i]);
+ }
+}
+
+
+/**
+ * Matrix P: Path contraints.
+ * If 2 nodes interfere and there is a path of equal-color-edges
+ * connecting them, then at least one of those equal-color-edges
+ * will break and cause some costs.
+ */
+static void pi_add_path_cstr_for_classes(problem_instance_t *pi) {
+ DBG((dbg, LEVEL_2, "Adding path constraints for phi classes...\n"));
+ pi->cst_counter = 0;
+ pi->done = pset_new_ptr_default();
+ irg_walk_graph(get_irg(pi->co), path_cstr_for_classes_walker, NULL, pi);
+ del_pset(pi->done);
+}
+#endif
+
+#ifdef PRECOLOR_MAX_CLIQUE
+struct pre_col {
+ problem_instance_t *pi;
+ pset **clique;
+};
+
+#define has_reg_class(pi,irn) \
+ (arch_get_irn_reg_class(pi->co->chordal_env->session_env->main_env->arch_env, \
+ irn, -1) == pi->co->chordal_env->cls)
+
+static void preColoringWalker(ir_node *bl, void *env) {
+ struct pre_col *e = env;
+ pset **clique = e->clique;
+ pset *max_clique = clique ? *clique : NULL;
+ int max = max_clique ? pset_count(max_clique) : 0;
+ problem_instance_t *pi = e->pi;
+
+ int i, n;
+ pset *live = pset_new_ptr_default();
+ ir_node *irn;
+ irn_live_t *li;
+
+ /* as always, bring the live end nodes to life here */
+ live_foreach(bl, li) {
+ if(live_is_end(li) && has_reg_class(pi, li->irn)) {
+ pset_insert_ptr(live, irn);
+ }
+ }
+
+ sched_foreach_reverse(bl, irn) {
+ int pres = pset_count(live);
+
+ if(pres > max) {
+ max = pres;
+ if(max_clique)
+ del_pset(max_clique);
+
+ max_clique = pset_new_ptr_default();
+ pset_insert_pset_ptr(max_clique, live);
+ }
+
- /* Matrix B
- * interference constraints using exactly those cliques not contained in others. */
- {
- int color, expected_clipques = pi->A_dim/3 * MAX_COLORS;
- pi->B = new_matrix(expected_clipques, pi->x_dim);
- for (color = 0; color < MAX_COLORS; ++color) {
- pi->curr_color = color;
- dom_tree_walk_irg(pi->irg, pi_clique_finder, NULL, pi);
+
+ if(has_reg_class(pi, irn))
+ pset_remove_ptr(live, irn);
+
+ for(i = 0, n = get_irn_arity(irn); i < n; ++i) {
+ ir_node *op = get_irn_n(irn, i);
+ if(has_reg_class(pi, op) && !is_Phi(irn))
+ pset_insert_ptr(live, op);
}
- pi->B_dim = matrix_get_rowcount(pi->B);
}
+ del_pset(live);
+ *clique = max_clique;
+}
+
+static void pi_add_constr_preColoring(problem_instance_t *pi) {
+ ir_node *irn;
+ int cst_counter, color;
+ struct pre_col pre_col;
+
+ pre_col.clique = NULL;
+ pre_col.pi = pi;
+
+ dom_tree_walk_irg(get_irg(pi->co), preColoringWalker, NULL, &pre_col);
+
+ color = 0;
+ for (irn = pset_first(*pre_col.clique); irn; irn = pset_next(*pre_col.clique)) {
+ int cst_idx, var_idx, nnr = get_irn_graph_nr(irn);
+ char buf[100];
+
+ mangle_cst(buf, 'K', cst_counter++);
+ cst_idx = lpp_add_cst(pi->curr_lp, buf, lpp_equal, 1);
+
+ mangle_var2(buf, 'x', nnr, color++);
+ var_idx = lpp_get_var_idx(pi->curr_lp, buf);
+ lpp_set_factor_fast(pi->curr_lp, cst_idx, var_idx, 1);
+ }
+}
+#endif
+
+/**
+ * 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, lpp_minimize);
+
+ /* problem size reduction */
+ pi_find_simplicials(pi);
+ if (pi->all_simplicial)
+ return pi;
+
+ /* built objective and constraints */
+ pi->curr_lp = pi->dilp;
+#ifdef NO_NULL_COLORS
+ pi_add_constr_no_null_colors(pi);
+#endif
+ 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);
+
+#ifdef PATH_CONSTRAINTS_FOR_CLASSES
+ pi_add_path_cstr_for_classes(pi);
+#else
+ pi_add_path_cstr(pi);
+#endif
+ pi_add_clique_path_cstr(pi);
+#ifdef PRECOLOR_MAX_CLIQUE
+ pi_add_constr_preColoring(pi);
+#endif
+
return pi;
}
/**
- * clean the problem instance
+ * Clean the problem instance
*/
static void free_pi(problem_instance_t *pi) {
- del_matrix(pi->Q);
- del_matrix(pi->A);
- del_matrix(pi->B);
- del_set(pi->num2pos);
- obstack_free(&pi->ob, NULL);
+ 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);
}
-void co_ilp_opt(copy_opt_t *co) {
- dbg = firm_dbg_register("ir.be.copyoptilp");
- firm_dbg_set_mask(dbg, DEBUG_LVL);
+/**
+ * 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=pi->first_x_var; 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(get_irg(pi->co), nnr)) != -1);
+ val = (get_irn_col(pi->co, get_irn_for_graph_nr(get_irg(pi->co), 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'");
+ }
+ }
+}
- problem_instance_t *pi = new_pi(co);
+/**
+ * Invoke a solver
+ */
+static void pi_solve_ilp(problem_instance_t *pi) {
+ double lower_bound;
+
+ pi_set_start_sol(pi);
+ lower_bound = co_get_lower_bound(pi->co) - co_get_inevit_copy_costs(pi->co);
+ lpp_set_bound(pi->curr_lp, lower_bound);
+ lpp_solve_net(pi->curr_lp, LPP_HOST, LPP_SOLVER);
+// lpp_solve_cplex(pi->curr_lp);
+ DBG((dbg, LEVEL_1, "Solution time: %.2f\n", pi->curr_lp->sol_time));
+}
-#ifdef DUMP_MATRICES
- pi_dump_matrices(pi);
-#endif
+/**
+ * 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;
+ be_ifg_t *ifg = pi->co->chordal_env->ifg;
+ bitset_t *used_cols = bitset_alloca(arch_register_class_n_regs(pi->co->chordal_env->cls));
+ void *iter = be_ifg_neighbours_iter_alloca(ifg);
+
+ 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;
+
+ /* get free color by inspecting all neighbors */
+ irn = simpl->irn;
+ bitset_clear_all(used_cols);
+
+ be_ifg_foreach_neighbour(ifg, iter, irn, other) {
+ if (!is_removed(other)) /* only inspect nodes which are in graph right now */
+ bitset_set(used_cols, get_irn_col(pi->co, other));
+ }
-#ifdef DUMP_LP
- pi_dump_lp(pi);
-#endif
+ /* 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 */
+ }
+}
-#ifdef DUMP_MPS
- pi_dump_mps(pi);
+/**
+ * Sets the colors of irns according to the values of variables
+ * provided by the solution of the solver.
+ */
+static int pi_apply_solution(problem_instance_t *pi) {
+ int res = 1, i;
+ double *sol;
+ lpp_sol_state_t state;
+ DBG((dbg, LEVEL_2, "Applying solution...\n"));
+
+#ifdef DO_STAT
+ copystat_add_ilp_time((int)(1000.0*lpp_get_sol_time(pi->curr_lp))); //now we have ms
+ copystat_add_ilp_vars(lpp_get_var_count(pi->curr_lp));
+ copystat_add_ilp_csts(lpp_get_cst_count(pi->curr_lp));
+ copystat_add_ilp_iter(lpp_get_iter_cnt(pi->curr_lp));
#endif
-#ifdef DO_SOLVE
- pi_solve_ilp(pi);
- pi_apply_solution(pi);
-#endif
+ sol = xmalloc((pi->last_x_var - pi->first_x_var + 1) * sizeof(*sol));
+ state = lpp_get_solution(pi->curr_lp, sol, pi->first_x_var, pi->last_x_var);
+ if (state != lpp_optimal) {
+ printf("WARNING %s: Solution state is not 'optimal': %d\n", pi->co->name, state);
+ assert(state >= lpp_feasible && "The solution should at least be feasible!");
+ res = 0;
+ }
+ for (i=0; i<pi->last_x_var - pi->first_x_var + 1; ++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, pi->first_x_var+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(get_irg(pi->co), 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(get_irg(pi->co), nnr), col);
+ } else
+ assert(0 && "This should be a x-var");
+ }
+ }
+ return res;
+}
-#ifdef DELETE_FILES
- pi_delete_files(pi);
-#endif
+int co_ilp_opt(copy_opt_t *co, double time_limit) {
+ int res = 1;
+ problem_instance_t *pi;
+
+ dbg = firm_dbg_register("ir.be.copyoptilp");
+ 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
+ lpp_set_time_limit(pi->curr_lp, time_limit);
+ pi_solve_ilp(pi);
+ res = pi_apply_solution(pi);
+ pi_set_simplicials(pi);
+ }
free_pi(pi);
+ return res;
}
projects / libfirm / blobdiff