Data from tests confirmed that the original active load balancing
logic didn't scale neither in the number of CPU nor in the number of
tasks (as sched_rt does).

Here we provide a global data structure to keep track of deadlines
of the running tasks in the system. The structure is composed by
a bitmask showing the free CPUs and a max-heap, needed when the system
is heavily loaded.

The implementation and concurrent access scheme are kept simple by
design. However, our measurements show that we can compete with sched_rt
on large multi-CPUs machines [1].

Only the push path is addressed, the extension to use this structure
also for pull decisions is straightforward. However, we are currently
evaluating different (in order to decrease/avoid contention) data
structures to solve possibly both problems. We are also going to re-run
tests considering recent changes inside cpupri [2].

[1] http://retis.sssup.it/~jlelli/papers/Ospert11Lelli.pdf
[2] http://www.spinics.net/lists/linux-rt-users/msg06778.html

Signed-off-by: Juri Lelli <juri.le...@gmail.com>
---
 kernel/sched/Makefile      |    2 +-
 kernel/sched/core.c        |    3 +
 kernel/sched/cpudeadline.c |  216 ++++++++++++++++++++++++++++++++++++++++++++
 kernel/sched/cpudeadline.h |   33 +++++++
 kernel/sched/deadline.c    |   53 +++--------
 kernel/sched/sched.h       |    2 +
 6 files changed, 269 insertions(+), 40 deletions(-)
 create mode 100644 kernel/sched/cpudeadline.c
 create mode 100644 kernel/sched/cpudeadline.h

diff --git a/kernel/sched/Makefile b/kernel/sched/Makefile
index d77282f..ba43447 100644
--- a/kernel/sched/Makefile
+++ b/kernel/sched/Makefile
@@ -12,7 +12,7 @@ CFLAGS_core.o := $(PROFILING) -fno-omit-frame-pointer
 endif
 
 obj-y += core.o proc.o clock.o cputime.o idle_task.o fair.o rt.o deadline.o 
stop_task.o
-obj-$(CONFIG_SMP) += cpupri.o
+obj-$(CONFIG_SMP) += cpupri.o cpudeadline.o
 obj-$(CONFIG_SCHED_AUTOGROUP) += auto_group.o
 obj-$(CONFIG_SCHEDSTATS) += stats.o
 obj-$(CONFIG_SCHED_DEBUG) += debug.o
diff --git a/kernel/sched/core.c b/kernel/sched/core.c
index ddc1f49..49aa0ff 100644
--- a/kernel/sched/core.c
+++ b/kernel/sched/core.c
@@ -5385,6 +5385,7 @@ static void free_rootdomain(struct rcu_head *rcu)
        struct root_domain *rd = container_of(rcu, struct root_domain, rcu);
 
        cpupri_cleanup(&rd->cpupri);
+       cpudl_cleanup(&rd->cpudl);
        free_cpumask_var(rd->dlo_mask);
        free_cpumask_var(rd->rto_mask);
        free_cpumask_var(rd->online);
@@ -5443,6 +5444,8 @@ static int init_rootdomain(struct root_domain *rd)
                goto free_dlo_mask;
 
        init_dl_bw(&rd->dl_bw);
+       if (cpudl_init(&rd->cpudl) != 0)
+               goto free_dlo_mask;
 
        if (cpupri_init(&rd->cpupri) != 0)
                goto free_rto_mask;
diff --git a/kernel/sched/cpudeadline.c b/kernel/sched/cpudeadline.c
new file mode 100644
index 0000000..13a31a9
--- /dev/null
+++ b/kernel/sched/cpudeadline.c
@@ -0,0 +1,216 @@
+/*
+ *  kernel/sched/cpudl.c
+ *
+ *  Global CPU deadline management
+ *
+ *  Author: Juri Lelli <j.le...@sssup.it>
+ *
+ *  This program is free software; you can redistribute it and/or
+ *  modify it under the terms of the GNU General Public License
+ *  as published by the Free Software Foundation; version 2
+ *  of the License.
+ */
+
+#include <linux/gfp.h>
+#include <linux/kernel.h>
+#include "cpudeadline.h"
+
+static inline int parent(int i)
+{
+       return (i - 1) >> 1;
+}
+
+static inline int left_child(int i)
+{
+       return (i << 1) + 1;
+}
+
+static inline int right_child(int i)
+{
+       return (i << 1) + 2;
+}
+
+static inline int dl_time_before(u64 a, u64 b)
+{
+       return (s64)(a - b) < 0;
+}
+
+void cpudl_exchange(struct cpudl *cp, int a, int b)
+{
+       int cpu_a = cp->elements[a].cpu, cpu_b = cp->elements[b].cpu;
+
+       swap(cp->elements[a], cp->elements[b]);
+       swap(cp->cpu_to_idx[cpu_a], cp->cpu_to_idx[cpu_b]);
+}
+
+void cpudl_heapify(struct cpudl *cp, int idx)
+{
+       int l, r, largest;
+
+       /* adapted from lib/prio_heap.c */
+       while(1) {
+               l = left_child(idx);
+               r = right_child(idx);
+               largest = idx;
+
+               if ((l < cp->size) && dl_time_before(cp->elements[idx].dl,
+                                                       cp->elements[l].dl))
+                       largest = l;
+               if ((r < cp->size) && dl_time_before(cp->elements[largest].dl,
+                                                       cp->elements[r].dl))
+                       largest = r;
+               if (largest == idx)
+                       break;
+
+               /* Push idx down the heap one level and bump one up */
+               cpudl_exchange(cp, largest, idx);
+               idx = largest;
+       }
+}
+
+void cpudl_change_key(struct cpudl *cp, int idx, u64 new_dl)
+{
+       WARN_ON(idx > num_present_cpus() || idx == IDX_INVALID);
+
+       if (dl_time_before(new_dl, cp->elements[idx].dl)) {
+               cp->elements[idx].dl = new_dl;
+               cpudl_heapify(cp, idx);
+       } else {
+               cp->elements[idx].dl = new_dl;
+               while (idx > 0 && dl_time_before(cp->elements[parent(idx)].dl,
+                                       cp->elements[idx].dl)) {
+                       cpudl_exchange(cp, idx, parent(idx));
+                       idx = parent(idx);
+               }
+       }
+}
+
+static inline int cpudl_maximum(struct cpudl *cp)
+{
+       return cp->elements[0].cpu;
+}
+
+/*
+ * cpudl_find - find the best (later-dl) CPU in the system
+ * @cp: the cpudl max-heap context
+ * @p: the task
+ * @later_mask: a mask to fill in with the selected CPUs (or NULL)
+ *
+ * Returns: int - best CPU (heap maximum if suitable)
+ */
+int cpudl_find(struct cpudl *cp, struct task_struct *p,
+              struct cpumask *later_mask)
+{
+       int best_cpu = -1;
+       const struct sched_dl_entity *dl_se = &p->dl;
+
+       if (later_mask && cpumask_and(later_mask, cp->free_cpus,
+                       &p->cpus_allowed) && cpumask_and(later_mask,
+                       later_mask, cpu_active_mask)) {
+               best_cpu = cpumask_any(later_mask);
+               goto out;
+       } else if (cpumask_test_cpu(cpudl_maximum(cp), &p->cpus_allowed) &&
+                       dl_time_before(dl_se->deadline, cp->elements[0].dl)) {
+               best_cpu = cpudl_maximum(cp);
+               if (later_mask)
+                       cpumask_set_cpu(best_cpu, later_mask);
+       }
+
+out:
+       WARN_ON(best_cpu > num_present_cpus() && best_cpu != -1);
+
+       return best_cpu;
+}
+
+/*
+ * cpudl_set - update the cpudl max-heap
+ * @cp: the cpudl max-heap context
+ * @cpu: the target cpu
+ * @dl: the new earliest deadline for this cpu
+ *
+ * Notes: assumes cpu_rq(cpu)->lock is locked
+ *
+ * Returns: (void)
+ */
+void cpudl_set(struct cpudl *cp, int cpu, u64 dl, int is_valid)
+{
+       int old_idx, new_cpu;
+       unsigned long flags;
+
+       WARN_ON(cpu > num_present_cpus());
+
+       raw_spin_lock_irqsave(&cp->lock, flags);
+       old_idx = cp->cpu_to_idx[cpu];
+       if (!is_valid) {
+               /* remove item */
+               if (old_idx == IDX_INVALID) {
+                       /* 
+                        * Nothing to remove if old_idx was invalid.
+                        * This could happen if a rq_offline_dl is
+                        * called for a CPU without -dl tasks running.
+                        */
+                       goto out;
+               }
+               new_cpu = cp->elements[cp->size - 1].cpu;
+               cp->elements[old_idx].dl = cp->elements[cp->size - 1].dl;
+               cp->elements[old_idx].cpu = new_cpu;
+               cp->size--;
+               cp->cpu_to_idx[new_cpu] = old_idx;
+               cp->cpu_to_idx[cpu] = IDX_INVALID;
+               while (old_idx > 0 && dl_time_before(
+                               cp->elements[parent(old_idx)].dl,
+                               cp->elements[old_idx].dl)) {
+                       cpudl_exchange(cp, old_idx, parent(old_idx));
+                       old_idx = parent(old_idx);
+               }
+               cpumask_set_cpu(cpu, cp->free_cpus);
+                cpudl_heapify(cp, old_idx);
+
+               goto out;
+       }
+
+       if (old_idx == IDX_INVALID) {
+               cp->size++;
+               cp->elements[cp->size - 1].dl = 0;
+               cp->elements[cp->size - 1].cpu = cpu;
+               cp->cpu_to_idx[cpu] = cp->size - 1;
+               cpudl_change_key(cp, cp->size - 1, dl);
+               cpumask_clear_cpu(cpu, cp->free_cpus);
+       } else {
+               cpudl_change_key(cp, old_idx, dl);
+       }
+
+out:
+       raw_spin_unlock_irqrestore(&cp->lock, flags);
+}
+
+/*
+ * cpudl_init - initialize the cpudl structure
+ * @cp: the cpudl max-heap context
+ */
+int cpudl_init(struct cpudl *cp)
+{
+       int i;
+
+       memset(cp, 0, sizeof(*cp));
+       raw_spin_lock_init(&cp->lock);
+       cp->size = 0;
+       for (i = 0; i < NR_CPUS; i++)
+               cp->cpu_to_idx[i] = IDX_INVALID;
+       if (!alloc_cpumask_var(&cp->free_cpus, GFP_KERNEL))
+               return -ENOMEM;
+       cpumask_setall(cp->free_cpus);
+
+       return 0;
+}
+
+/*
+ * cpudl_cleanup - clean up the cpudl structure
+ * @cp: the cpudl max-heap context
+ */
+void cpudl_cleanup(struct cpudl *cp)
+{
+       /*
+        * nothing to do for the moment
+        */
+}
diff --git a/kernel/sched/cpudeadline.h b/kernel/sched/cpudeadline.h
new file mode 100644
index 0000000..a202789
--- /dev/null
+++ b/kernel/sched/cpudeadline.h
@@ -0,0 +1,33 @@
+#ifndef _LINUX_CPUDL_H
+#define _LINUX_CPUDL_H
+
+#include <linux/sched.h>
+
+#define IDX_INVALID     -1
+
+struct array_item {
+       u64 dl;
+       int cpu;
+};
+
+struct cpudl {
+       raw_spinlock_t lock;
+       int size;
+       int cpu_to_idx[NR_CPUS];
+       struct array_item elements[NR_CPUS];
+       cpumask_var_t free_cpus;
+};
+
+
+#ifdef CONFIG_SMP
+int cpudl_find(struct cpudl *cp, struct task_struct *p,
+              struct cpumask *later_mask);
+void cpudl_set(struct cpudl *cp, int cpu, u64 dl, int is_valid);
+int cpudl_init(struct cpudl *cp);
+void cpudl_cleanup(struct cpudl *cp);
+#else
+#define cpudl_set(cp, cpu, dl) do { } while (0)
+#define cpudl_init() do { } while (0)
+#endif /* CONFIG_SMP */
+
+#endif /* _LINUX_CPUDL_H */
diff --git a/kernel/sched/deadline.c b/kernel/sched/deadline.c
index ca20110..1499381 100644
--- a/kernel/sched/deadline.c
+++ b/kernel/sched/deadline.c
@@ -16,6 +16,8 @@
  */
 #include "sched.h"
 
+#include <linux/slab.h>
+
 struct dl_bandwidth def_dl_bandwidth;
 
 static inline struct task_struct *dl_task_of(struct sched_dl_entity *dl_se)
@@ -652,6 +654,7 @@ static void inc_dl_deadline(struct dl_rq *dl_rq, u64 
deadline)
                 */
                dl_rq->earliest_dl.next = dl_rq->earliest_dl.curr;
                dl_rq->earliest_dl.curr = deadline;
+               cpudl_set(&rq->rd->cpudl, rq->cpu, deadline, 1);
        } else if (dl_rq->earliest_dl.next == 0 ||
                   dl_time_before(deadline, dl_rq->earliest_dl.next)) {
                /*
@@ -675,6 +678,7 @@ static void dec_dl_deadline(struct dl_rq *dl_rq, u64 
deadline)
        if (!dl_rq->dl_nr_running) {
                dl_rq->earliest_dl.curr = 0;
                dl_rq->earliest_dl.next = 0;
+               cpudl_set(&rq->rd->cpudl, rq->cpu, 0, 0);
        } else {
                struct rb_node *leftmost = dl_rq->rb_leftmost;
                struct sched_dl_entity *entry;
@@ -682,6 +686,7 @@ static void dec_dl_deadline(struct dl_rq *dl_rq, u64 
deadline)
                entry = rb_entry(leftmost, struct sched_dl_entity, rb_node);
                dl_rq->earliest_dl.curr = entry->deadline;
                dl_rq->earliest_dl.next = next_deadline(rq);
+               cpudl_set(&rq->rd->cpudl, rq->cpu, entry->deadline, 1);
        }
 }
 
@@ -863,9 +868,6 @@ static void yield_task_dl(struct rq *rq)
 #ifdef CONFIG_SMP
 
 static int find_later_rq(struct task_struct *task);
-static int latest_cpu_find(struct cpumask *span,
-                          struct task_struct *task,
-                          struct cpumask *later_mask);
 
 static int
 select_task_rq_dl(struct task_struct *p, int sd_flag, int flags)
@@ -915,7 +917,7 @@ static void check_preempt_equal_dl(struct rq *rq, struct 
task_struct *p)
         * let's hope p can move out.
         */
        if (rq->curr->nr_cpus_allowed == 1 ||
-           latest_cpu_find(rq->rd->span, rq->curr, NULL) == -1)
+           cpudl_find(&rq->rd->cpudl, rq->curr, NULL) == -1)
                return;
 
        /*
@@ -923,7 +925,7 @@ static void check_preempt_equal_dl(struct rq *rq, struct 
task_struct *p)
         * see if it is pushed or pulled somewhere else.
         */
        if (p->nr_cpus_allowed != 1 &&
-           latest_cpu_find(rq->rd->span, p, NULL) != -1)
+           cpudl_find(&rq->rd->cpudl, p, NULL) != -1)
                return;
 
        resched_task(rq->curr);
@@ -1116,39 +1118,6 @@ next_node:
        return NULL;
 }
 
-static int latest_cpu_find(struct cpumask *span,
-                          struct task_struct *task,
-                          struct cpumask *later_mask)
-{
-       const struct sched_dl_entity *dl_se = &task->dl;
-       int cpu, found = -1, best = 0;
-       u64 max_dl = 0;
-
-       for_each_cpu(cpu, span) {
-               struct rq *rq = cpu_rq(cpu);
-               struct dl_rq *dl_rq = &rq->dl;
-
-               if (cpumask_test_cpu(cpu, &task->cpus_allowed) &&
-                   (!dl_rq->dl_nr_running || dl_time_before(dl_se->deadline,
-                    dl_rq->earliest_dl.curr))) {
-                       if (later_mask)
-                               cpumask_set_cpu(cpu, later_mask);
-                       if (!best && !dl_rq->dl_nr_running) {
-                               best = 1;
-                               found = cpu;
-                       } else if (!best &&
-                                  dl_time_before(max_dl,
-                                                 dl_rq->earliest_dl.curr)) {
-                               max_dl = dl_rq->earliest_dl.curr;
-                               found = cpu;
-                       }
-               } else if (later_mask)
-                       cpumask_clear_cpu(cpu, later_mask);
-       }
-
-       return found;
-}
-
 static DEFINE_PER_CPU(cpumask_var_t, local_cpu_mask_dl);
 
 static int find_later_rq(struct task_struct *task)
@@ -1165,7 +1134,8 @@ static int find_later_rq(struct task_struct *task)
        if (task->nr_cpus_allowed == 1)
                return -1;
 
-       best_cpu = latest_cpu_find(task_rq(task)->rd->span, task, later_mask);
+       best_cpu = cpudl_find(&task_rq(task)->rd->cpudl,
+                       task, later_mask);
        if (best_cpu == -1)
                return -1;
 
@@ -1535,6 +1505,9 @@ static void rq_online_dl(struct rq *rq)
 {
        if (rq->dl.overloaded)
                dl_set_overload(rq);
+
+       if (rq->dl.dl_nr_running > 0)
+               cpudl_set(&rq->rd->cpudl, rq->cpu, rq->dl.earliest_dl.curr, 1);
 }
 
 /* Assumes rq->lock is held */
@@ -1542,6 +1515,8 @@ static void rq_offline_dl(struct rq *rq)
 {
        if (rq->dl.overloaded)
                dl_clear_overload(rq);
+
+       cpudl_set(&rq->rd->cpudl, rq->cpu, 0, 0);
 }
 
 void init_sched_dl_class(void)
diff --git a/kernel/sched/sched.h b/kernel/sched/sched.h
index bf4acf8..596e290 100644
--- a/kernel/sched/sched.h
+++ b/kernel/sched/sched.h
@@ -9,6 +9,7 @@
 #include <linux/tick.h>
 
 #include "cpupri.h"
+#include "cpudeadline.h"
 #include "cpuacct.h"
 
 struct rq;
@@ -507,6 +508,7 @@ struct root_domain {
        cpumask_var_t dlo_mask;
        atomic_t dlo_count;
        struct dl_bw dl_bw;
+       struct cpudl cpudl;
 
        /*
         * The "RT overload" flag: it gets set if a CPU has more than
-- 
1.7.9.5

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