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Linux/Documentation/scheduler/sched-deadline.rst

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Differences between /Documentation/scheduler/sched-deadline.rst (Architecture i386) and /Documentation/scheduler/sched-deadline.rst (Architecture m68k)


  1 ========================                            1 ========================
  2 Deadline Task Scheduling                            2 Deadline Task Scheduling
  3 ========================                            3 ========================
  4                                                     4 
  5 .. CONTENTS                                         5 .. CONTENTS
  6                                                     6 
  7     0. WARNING                                      7     0. WARNING
  8     1. Overview                                     8     1. Overview
  9     2. Scheduling algorithm                         9     2. Scheduling algorithm
 10       2.1 Main algorithm                           10       2.1 Main algorithm
 11       2.2 Bandwidth reclaiming                     11       2.2 Bandwidth reclaiming
 12     3. Scheduling Real-Time Tasks                  12     3. Scheduling Real-Time Tasks
 13       3.1 Definitions                              13       3.1 Definitions
 14       3.2 Schedulability Analysis for Uniproce     14       3.2 Schedulability Analysis for Uniprocessor Systems
 15       3.3 Schedulability Analysis for Multipro     15       3.3 Schedulability Analysis for Multiprocessor Systems
 16       3.4 Relationship with SCHED_DEADLINE Par     16       3.4 Relationship with SCHED_DEADLINE Parameters
 17     4. Bandwidth management                        17     4. Bandwidth management
 18       4.1 System-wide settings                     18       4.1 System-wide settings
 19       4.2 Task interface                           19       4.2 Task interface
 20       4.3 Default behavior                         20       4.3 Default behavior
 21       4.4 Behavior of sched_yield()                21       4.4 Behavior of sched_yield()
 22     5. Tasks CPU affinity                          22     5. Tasks CPU affinity
 23       5.1 SCHED_DEADLINE and cpusets HOWTO         23       5.1 SCHED_DEADLINE and cpusets HOWTO
 24     6. Future plans                                24     6. Future plans
 25     A. Test suite                                  25     A. Test suite
 26     B. Minimal main()                              26     B. Minimal main()
 27                                                    27 
 28                                                    28 
 29 0. WARNING                                         29 0. WARNING
 30 ==========                                         30 ==========
 31                                                    31 
 32  Fiddling with these settings can result in an     32  Fiddling with these settings can result in an unpredictable or even unstable
 33  system behavior. As for -rt (group) schedulin     33  system behavior. As for -rt (group) scheduling, it is assumed that root users
 34  know what they're doing.                          34  know what they're doing.
 35                                                    35 
 36                                                    36 
 37 1. Overview                                        37 1. Overview
 38 ===========                                        38 ===========
 39                                                    39 
 40  The SCHED_DEADLINE policy contained inside th     40  The SCHED_DEADLINE policy contained inside the sched_dl scheduling class is
 41  basically an implementation of the Earliest D     41  basically an implementation of the Earliest Deadline First (EDF) scheduling
 42  algorithm, augmented with a mechanism (called     42  algorithm, augmented with a mechanism (called Constant Bandwidth Server, CBS)
 43  that makes it possible to isolate the behavio     43  that makes it possible to isolate the behavior of tasks between each other.
 44                                                    44 
 45                                                    45 
 46 2. Scheduling algorithm                            46 2. Scheduling algorithm
 47 =======================                            47 =======================
 48                                                    48 
 49 2.1 Main algorithm                                 49 2.1 Main algorithm
 50 ------------------                                 50 ------------------
 51                                                    51 
 52  SCHED_DEADLINE [18] uses three parameters, na     52  SCHED_DEADLINE [18] uses three parameters, named "runtime", "period", and
 53  "deadline", to schedule tasks. A SCHED_DEADLI     53  "deadline", to schedule tasks. A SCHED_DEADLINE task should receive
 54  "runtime" microseconds of execution time ever     54  "runtime" microseconds of execution time every "period" microseconds, and
 55  these "runtime" microseconds are available wi     55  these "runtime" microseconds are available within "deadline" microseconds
 56  from the beginning of the period.  In order t     56  from the beginning of the period.  In order to implement this behavior,
 57  every time the task wakes up, the scheduler c     57  every time the task wakes up, the scheduler computes a "scheduling deadline"
 58  consistent with the guarantee (using the CBS[     58  consistent with the guarantee (using the CBS[2,3] algorithm). Tasks are then
 59  scheduled using EDF[1] on these scheduling de     59  scheduled using EDF[1] on these scheduling deadlines (the task with the
 60  earliest scheduling deadline is selected for      60  earliest scheduling deadline is selected for execution). Notice that the
 61  task actually receives "runtime" time units w     61  task actually receives "runtime" time units within "deadline" if a proper
 62  "admission control" strategy (see Section "4.     62  "admission control" strategy (see Section "4. Bandwidth management") is used
 63  (clearly, if the system is overloaded this gu     63  (clearly, if the system is overloaded this guarantee cannot be respected).
 64                                                    64 
 65  Summing up, the CBS[2,3] algorithm assigns sc     65  Summing up, the CBS[2,3] algorithm assigns scheduling deadlines to tasks so
 66  that each task runs for at most its runtime e     66  that each task runs for at most its runtime every period, avoiding any
 67  interference between different tasks (bandwid     67  interference between different tasks (bandwidth isolation), while the EDF[1]
 68  algorithm selects the task with the earliest      68  algorithm selects the task with the earliest scheduling deadline as the one
 69  to be executed next. Thanks to this feature,      69  to be executed next. Thanks to this feature, tasks that do not strictly comply
 70  with the "traditional" real-time task model (     70  with the "traditional" real-time task model (see Section 3) can effectively
 71  use the new policy.                               71  use the new policy.
 72                                                    72 
 73  In more details, the CBS algorithm assigns sc     73  In more details, the CBS algorithm assigns scheduling deadlines to
 74  tasks in the following way:                       74  tasks in the following way:
 75                                                    75 
 76   - Each SCHED_DEADLINE task is characterized      76   - Each SCHED_DEADLINE task is characterized by the "runtime",
 77     "deadline", and "period" parameters;           77     "deadline", and "period" parameters;
 78                                                    78 
 79   - The state of the task is described by a "s     79   - The state of the task is described by a "scheduling deadline", and
 80     a "remaining runtime". These two parameter     80     a "remaining runtime". These two parameters are initially set to 0;
 81                                                    81 
 82   - When a SCHED_DEADLINE task wakes up (becom     82   - When a SCHED_DEADLINE task wakes up (becomes ready for execution),
 83     the scheduler checks if::                      83     the scheduler checks if::
 84                                                    84 
 85                  remaining runtime                 85                  remaining runtime                  runtime
 86         ----------------------------------         86         ----------------------------------    >    ---------
 87         scheduling deadline - current time         87         scheduling deadline - current time           period
 88                                                    88 
 89     then, if the scheduling deadline is smalle     89     then, if the scheduling deadline is smaller than the current time, or
 90     this condition is verified, the scheduling     90     this condition is verified, the scheduling deadline and the
 91     remaining runtime are re-initialized as        91     remaining runtime are re-initialized as
 92                                                    92 
 93          scheduling deadline = current time +      93          scheduling deadline = current time + deadline
 94          remaining runtime = runtime               94          remaining runtime = runtime
 95                                                    95 
 96     otherwise, the scheduling deadline and the     96     otherwise, the scheduling deadline and the remaining runtime are
 97     left unchanged;                                97     left unchanged;
 98                                                    98 
 99   - When a SCHED_DEADLINE task executes for an     99   - When a SCHED_DEADLINE task executes for an amount of time t, its
100     remaining runtime is decreased as::           100     remaining runtime is decreased as::
101                                                   101 
102          remaining runtime = remaining runtime    102          remaining runtime = remaining runtime - t
103                                                   103 
104     (technically, the runtime is decreased at     104     (technically, the runtime is decreased at every tick, or when the
105     task is descheduled / preempted);             105     task is descheduled / preempted);
106                                                   106 
107   - When the remaining runtime becomes less or    107   - When the remaining runtime becomes less or equal than 0, the task is
108     said to be "throttled" (also known as "dep    108     said to be "throttled" (also known as "depleted" in real-time literature)
109     and cannot be scheduled until its scheduli    109     and cannot be scheduled until its scheduling deadline. The "replenishment
110     time" for this task (see next item) is set    110     time" for this task (see next item) is set to be equal to the current
111     value of the scheduling deadline;             111     value of the scheduling deadline;
112                                                   112 
113   - When the current time is equal to the repl    113   - When the current time is equal to the replenishment time of a
114     throttled task, the scheduling deadline an    114     throttled task, the scheduling deadline and the remaining runtime are
115     updated as::                                  115     updated as::
116                                                   116 
117          scheduling deadline = scheduling dead    117          scheduling deadline = scheduling deadline + period
118          remaining runtime = remaining runtime    118          remaining runtime = remaining runtime + runtime
119                                                   119 
120  The SCHED_FLAG_DL_OVERRUN flag in sched_attr'    120  The SCHED_FLAG_DL_OVERRUN flag in sched_attr's sched_flags field allows a task
121  to get informed about runtime overruns throug    121  to get informed about runtime overruns through the delivery of SIGXCPU
122  signals.                                         122  signals.
123                                                   123 
124                                                   124 
125 2.2 Bandwidth reclaiming                          125 2.2 Bandwidth reclaiming
126 ------------------------                          126 ------------------------
127                                                   127 
128  Bandwidth reclaiming for deadline tasks is ba    128  Bandwidth reclaiming for deadline tasks is based on the GRUB (Greedy
129  Reclamation of Unused Bandwidth) algorithm [1    129  Reclamation of Unused Bandwidth) algorithm [15, 16, 17] and it is enabled
130  when flag SCHED_FLAG_RECLAIM is set.             130  when flag SCHED_FLAG_RECLAIM is set.
131                                                   131 
132  The following diagram illustrates the state n    132  The following diagram illustrates the state names for tasks handled by GRUB::
133                                                   133 
134                              ------------         134                              ------------
135                  (d)        |   Active   |        135                  (d)        |   Active   |
136               ------------->|            |        136               ------------->|            |
137               |             | Contending |        137               |             | Contending |
138               |              ------------         138               |              ------------
139               |                A      |           139               |                A      |
140           ----------           |      |           140           ----------           |      |
141          |          |          |      |           141          |          |          |      |
142          | Inactive |          |(b)   | (a)       142          | Inactive |          |(b)   | (a)
143          |          |          |      |           143          |          |          |      |
144           ----------           |      |           144           ----------           |      |
145               A                |      V           145               A                |      V
146               |              ------------         146               |              ------------
147               |             |   Active   |        147               |             |   Active   |
148               --------------|     Non    |        148               --------------|     Non    |
149                  (c)        | Contending |        149                  (c)        | Contending |
150                              ------------         150                              ------------
151                                                   151 
152  A task can be in one of the following states:    152  A task can be in one of the following states:
153                                                   153 
154   - ActiveContending: if it is ready for execu    154   - ActiveContending: if it is ready for execution (or executing);
155                                                   155 
156   - ActiveNonContending: if it just blocked an    156   - ActiveNonContending: if it just blocked and has not yet surpassed the 0-lag
157     time;                                         157     time;
158                                                   158 
159   - Inactive: if it is blocked and has surpass    159   - Inactive: if it is blocked and has surpassed the 0-lag time.
160                                                   160 
161  State transitions:                               161  State transitions:
162                                                   162 
163   (a) When a task blocks, it does not become i    163   (a) When a task blocks, it does not become immediately inactive since its
164       bandwidth cannot be immediately reclaime    164       bandwidth cannot be immediately reclaimed without breaking the
165       real-time guarantees. It therefore enter    165       real-time guarantees. It therefore enters a transitional state called
166       ActiveNonContending. The scheduler arms     166       ActiveNonContending. The scheduler arms the "inactive timer" to fire at
167       the 0-lag time, when the task's bandwidt    167       the 0-lag time, when the task's bandwidth can be reclaimed without
168       breaking the real-time guarantees.          168       breaking the real-time guarantees.
169                                                   169 
170       The 0-lag time for a task entering the A    170       The 0-lag time for a task entering the ActiveNonContending state is
171       computed as::                               171       computed as::
172                                                   172 
173                         (runtime * dl_period)     173                         (runtime * dl_period)
174              deadline - ---------------------     174              deadline - ---------------------
175                              dl_runtime           175                              dl_runtime
176                                                   176 
177       where runtime is the remaining runtime,     177       where runtime is the remaining runtime, while dl_runtime and dl_period
178       are the reservation parameters.             178       are the reservation parameters.
179                                                   179 
180   (b) If the task wakes up before the inactive    180   (b) If the task wakes up before the inactive timer fires, the task re-enters
181       the ActiveContending state and the "inac    181       the ActiveContending state and the "inactive timer" is canceled.
182       In addition, if the task wakes up on a d    182       In addition, if the task wakes up on a different runqueue, then
183       the task's utilization must be removed f    183       the task's utilization must be removed from the previous runqueue's active
184       utilization and must be added to the new    184       utilization and must be added to the new runqueue's active utilization.
185       In order to avoid races between a task w    185       In order to avoid races between a task waking up on a runqueue while the
186       "inactive timer" is running on a differe    186       "inactive timer" is running on a different CPU, the "dl_non_contending"
187       flag is used to indicate that a task is     187       flag is used to indicate that a task is not on a runqueue but is active
188       (so, the flag is set when the task block    188       (so, the flag is set when the task blocks and is cleared when the
189       "inactive timer" fires or when the task     189       "inactive timer" fires or when the task  wakes up).
190                                                   190 
191   (c) When the "inactive timer" fires, the tas    191   (c) When the "inactive timer" fires, the task enters the Inactive state and
192       its utilization is removed from the runq    192       its utilization is removed from the runqueue's active utilization.
193                                                   193 
194   (d) When an inactive task wakes up, it enter    194   (d) When an inactive task wakes up, it enters the ActiveContending state and
195       its utilization is added to the active u    195       its utilization is added to the active utilization of the runqueue where
196       it has been enqueued.                       196       it has been enqueued.
197                                                   197 
198  For each runqueue, the algorithm GRUB keeps t    198  For each runqueue, the algorithm GRUB keeps track of two different bandwidths:
199                                                   199 
200   - Active bandwidth (running_bw): this is the    200   - Active bandwidth (running_bw): this is the sum of the bandwidths of all
201     tasks in active state (i.e., ActiveContend    201     tasks in active state (i.e., ActiveContending or ActiveNonContending);
202                                                   202 
203   - Total bandwidth (this_bw): this is the sum    203   - Total bandwidth (this_bw): this is the sum of all tasks "belonging" to the
204     runqueue, including the tasks in Inactive     204     runqueue, including the tasks in Inactive state.
205                                                   205 
206   - Maximum usable bandwidth (max_bw): This is    206   - Maximum usable bandwidth (max_bw): This is the maximum bandwidth usable by
207     deadline tasks and is currently set to the    207     deadline tasks and is currently set to the RT capacity.
208                                                   208 
209                                                   209 
210  The algorithm reclaims the bandwidth of the t    210  The algorithm reclaims the bandwidth of the tasks in Inactive state.
211  It does so by decrementing the runtime of the    211  It does so by decrementing the runtime of the executing task Ti at a pace equal
212  to                                               212  to
213                                                   213 
214            dq = -(max{ Ui, (Umax - Uinact - Ue    214            dq = -(max{ Ui, (Umax - Uinact - Uextra) } / Umax) dt
215                                                   215 
216  where:                                           216  where:
217                                                   217 
218   - Ui is the bandwidth of task Ti;               218   - Ui is the bandwidth of task Ti;
219   - Umax is the maximum reclaimable utilizatio    219   - Umax is the maximum reclaimable utilization (subjected to RT throttling
220     limits);                                      220     limits);
221   - Uinact is the (per runqueue) inactive util    221   - Uinact is the (per runqueue) inactive utilization, computed as
222     (this_bq - running_bw);                       222     (this_bq - running_bw);
223   - Uextra is the (per runqueue) extra reclaim    223   - Uextra is the (per runqueue) extra reclaimable utilization
224     (subjected to RT throttling limits).          224     (subjected to RT throttling limits).
225                                                   225 
226                                                   226 
227  Let's now see a trivial example of two deadli    227  Let's now see a trivial example of two deadline tasks with runtime equal
228  to 4 and period equal to 8 (i.e., bandwidth e    228  to 4 and period equal to 8 (i.e., bandwidth equal to 0.5)::
229                                                   229 
230          A            Task T1                     230          A            Task T1
231          |                                        231          |
232          |                               |        232          |                               |
233          |                               |        233          |                               |
234          |--------                       |----    234          |--------                       |----
235          |       |                       V        235          |       |                       V
236          |---|---|---|---|---|---|---|---|----    236          |---|---|---|---|---|---|---|---|--------->t
237          0   1   2   3   4   5   6   7   8        237          0   1   2   3   4   5   6   7   8
238                                                   238 
239                                                   239 
240          A            Task T2                     240          A            Task T2
241          |                                        241          |
242          |                               |        242          |                               |
243          |                               |        243          |                               |
244          |       ------------------------|        244          |       ------------------------|
245          |       |                       V        245          |       |                       V
246          |---|---|---|---|---|---|---|---|----    246          |---|---|---|---|---|---|---|---|--------->t
247          0   1   2   3   4   5   6   7   8        247          0   1   2   3   4   5   6   7   8
248                                                   248 
249                                                   249 
250          A            running_bw                  250          A            running_bw
251          |                                        251          |
252        1 -----------------               -----    252        1 -----------------               ------
253          |               |               |        253          |               |               |
254       0.5-               -----------------        254       0.5-               -----------------
255          |                               |        255          |                               |
256          |---|---|---|---|---|---|---|---|----    256          |---|---|---|---|---|---|---|---|--------->t
257          0   1   2   3   4   5   6   7   8        257          0   1   2   3   4   5   6   7   8
258                                                   258 
259                                                   259 
260   - Time t = 0:                                   260   - Time t = 0:
261                                                   261 
262     Both tasks are ready for execution and the    262     Both tasks are ready for execution and therefore in ActiveContending state.
263     Suppose Task T1 is the first task to start    263     Suppose Task T1 is the first task to start execution.
264     Since there are no inactive tasks, its run    264     Since there are no inactive tasks, its runtime is decreased as dq = -1 dt.
265                                                   265 
266   - Time t = 2:                                   266   - Time t = 2:
267                                                   267 
268     Suppose that task T1 blocks                   268     Suppose that task T1 blocks
269     Task T1 therefore enters the ActiveNonCont    269     Task T1 therefore enters the ActiveNonContending state. Since its remaining
270     runtime is equal to 2, its 0-lag time is e    270     runtime is equal to 2, its 0-lag time is equal to t = 4.
271     Task T2 start execution, with runtime stil    271     Task T2 start execution, with runtime still decreased as dq = -1 dt since
272     there are no inactive tasks.                  272     there are no inactive tasks.
273                                                   273 
274   - Time t = 4:                                   274   - Time t = 4:
275                                                   275 
276     This is the 0-lag time for Task T1. Since     276     This is the 0-lag time for Task T1. Since it didn't woken up in the
277     meantime, it enters the Inactive state. It    277     meantime, it enters the Inactive state. Its bandwidth is removed from
278     running_bw.                                   278     running_bw.
279     Task T2 continues its execution. However,     279     Task T2 continues its execution. However, its runtime is now decreased as
280     dq = - 0.5 dt because Uinact = 0.5.           280     dq = - 0.5 dt because Uinact = 0.5.
281     Task T2 therefore reclaims the bandwidth u    281     Task T2 therefore reclaims the bandwidth unused by Task T1.
282                                                   282 
283   - Time t = 8:                                   283   - Time t = 8:
284                                                   284 
285     Task T1 wakes up. It enters the ActiveCont    285     Task T1 wakes up. It enters the ActiveContending state again, and the
286     running_bw is incremented.                    286     running_bw is incremented.
287                                                   287 
288                                                   288 
289 2.3 Energy-aware scheduling                       289 2.3 Energy-aware scheduling
290 ---------------------------                       290 ---------------------------
291                                                   291 
292  When cpufreq's schedutil governor is selected    292  When cpufreq's schedutil governor is selected, SCHED_DEADLINE implements the
293  GRUB-PA [19] algorithm, reducing the CPU oper    293  GRUB-PA [19] algorithm, reducing the CPU operating frequency to the minimum
294  value that still allows to meet the deadlines    294  value that still allows to meet the deadlines. This behavior is currently
295  implemented only for ARM architectures.          295  implemented only for ARM architectures.
296                                                   296 
297  A particular care must be taken in case the t    297  A particular care must be taken in case the time needed for changing frequency
298  is of the same order of magnitude of the rese    298  is of the same order of magnitude of the reservation period. In such cases,
299  setting a fixed CPU frequency results in a lo    299  setting a fixed CPU frequency results in a lower amount of deadline misses.
300                                                   300 
301                                                   301 
302 3. Scheduling Real-Time Tasks                     302 3. Scheduling Real-Time Tasks
303 =============================                     303 =============================
304                                                   304 
305                                                   305 
306                                                   306 
307  ..  BIG FAT WARNING *************************    307  ..  BIG FAT WARNING ******************************************************
308                                                   308 
309  .. warning::                                     309  .. warning::
310                                                   310 
311    This section contains a (not-thorough) summ    311    This section contains a (not-thorough) summary on classical deadline
312    scheduling theory, and how it applies to SC    312    scheduling theory, and how it applies to SCHED_DEADLINE.
313    The reader can "safely" skip to Section 4 i    313    The reader can "safely" skip to Section 4 if only interested in seeing
314    how the scheduling policy can be used. Anyw    314    how the scheduling policy can be used. Anyway, we strongly recommend
315    to come back here and continue reading (onc    315    to come back here and continue reading (once the urge for testing is
316    satisfied :P) to be sure of fully understan    316    satisfied :P) to be sure of fully understanding all technical details.
317                                                   317 
318  .. ******************************************    318  .. ************************************************************************
319                                                   319 
320  There are no limitations on what kind of task    320  There are no limitations on what kind of task can exploit this new
321  scheduling discipline, even if it must be sai    321  scheduling discipline, even if it must be said that it is particularly
322  suited for periodic or sporadic real-time tas    322  suited for periodic or sporadic real-time tasks that need guarantees on their
323  timing behavior, e.g., multimedia, streaming,    323  timing behavior, e.g., multimedia, streaming, control applications, etc.
324                                                   324 
325 3.1 Definitions                                   325 3.1 Definitions
326 ------------------------                          326 ------------------------
327                                                   327 
328  A typical real-time task is composed of a rep    328  A typical real-time task is composed of a repetition of computation phases
329  (task instances, or jobs) which are activated    329  (task instances, or jobs) which are activated on a periodic or sporadic
330  fashion.                                         330  fashion.
331  Each job J_j (where J_j is the j^th job of th    331  Each job J_j (where J_j is the j^th job of the task) is characterized by an
332  arrival time r_j (the time when the job start    332  arrival time r_j (the time when the job starts), an amount of computation
333  time c_j needed to finish the job, and a job     333  time c_j needed to finish the job, and a job absolute deadline d_j, which
334  is the time within which the job should be fi    334  is the time within which the job should be finished. The maximum execution
335  time max{c_j} is called "Worst Case Execution    335  time max{c_j} is called "Worst Case Execution Time" (WCET) for the task.
336  A real-time task can be periodic with period     336  A real-time task can be periodic with period P if r_{j+1} = r_j + P, or
337  sporadic with minimum inter-arrival time P is    337  sporadic with minimum inter-arrival time P is r_{j+1} >= r_j + P. Finally,
338  d_j = r_j + D, where D is the task's relative    338  d_j = r_j + D, where D is the task's relative deadline.
339  Summing up, a real-time task can be described    339  Summing up, a real-time task can be described as
340                                                   340 
341         Task = (WCET, D, P)                       341         Task = (WCET, D, P)
342                                                   342 
343  The utilization of a real-time task is define    343  The utilization of a real-time task is defined as the ratio between its
344  WCET and its period (or minimum inter-arrival    344  WCET and its period (or minimum inter-arrival time), and represents
345  the fraction of CPU time needed to execute th    345  the fraction of CPU time needed to execute the task.
346                                                   346 
347  If the total utilization U=sum(WCET_i/P_i) is    347  If the total utilization U=sum(WCET_i/P_i) is larger than M (with M equal
348  to the number of CPUs), then the scheduler is    348  to the number of CPUs), then the scheduler is unable to respect all the
349  deadlines.                                       349  deadlines.
350  Note that total utilization is defined as the    350  Note that total utilization is defined as the sum of the utilizations
351  WCET_i/P_i over all the real-time tasks in th    351  WCET_i/P_i over all the real-time tasks in the system. When considering
352  multiple real-time tasks, the parameters of t    352  multiple real-time tasks, the parameters of the i-th task are indicated
353  with the "_i" suffix.                            353  with the "_i" suffix.
354  Moreover, if the total utilization is larger     354  Moreover, if the total utilization is larger than M, then we risk starving
355  non- real-time tasks by real-time tasks.         355  non- real-time tasks by real-time tasks.
356  If, instead, the total utilization is smaller    356  If, instead, the total utilization is smaller than M, then non real-time
357  tasks will not be starved and the system migh    357  tasks will not be starved and the system might be able to respect all the
358  deadlines.                                       358  deadlines.
359  As a matter of fact, in this case it is possi    359  As a matter of fact, in this case it is possible to provide an upper bound
360  for tardiness (defined as the maximum between    360  for tardiness (defined as the maximum between 0 and the difference
361  between the finishing time of a job and its a    361  between the finishing time of a job and its absolute deadline).
362  More precisely, it can be proven that using a    362  More precisely, it can be proven that using a global EDF scheduler the
363  maximum tardiness of each task is smaller or     363  maximum tardiness of each task is smaller or equal than
364                                                   364 
365         ((M − 1) · WCET_max − WCET_min)/(    365         ((M − 1) · WCET_max − WCET_min)/(M − (M − 2) · U_max) + WCET_max
366                                                   366 
367  where WCET_max = max{WCET_i} is the maximum W    367  where WCET_max = max{WCET_i} is the maximum WCET, WCET_min=min{WCET_i}
368  is the minimum WCET, and U_max = max{WCET_i/P    368  is the minimum WCET, and U_max = max{WCET_i/P_i} is the maximum
369  utilization[12].                                 369  utilization[12].
370                                                   370 
371 3.2 Schedulability Analysis for Uniprocessor S    371 3.2 Schedulability Analysis for Uniprocessor Systems
372 ----------------------------------------------    372 ----------------------------------------------------
373                                                   373 
374  If M=1 (uniprocessor system), or in case of p    374  If M=1 (uniprocessor system), or in case of partitioned scheduling (each
375  real-time task is statically assigned to one     375  real-time task is statically assigned to one and only one CPU), it is
376  possible to formally check if all the deadlin    376  possible to formally check if all the deadlines are respected.
377  If D_i = P_i for all tasks, then EDF is able     377  If D_i = P_i for all tasks, then EDF is able to respect all the deadlines
378  of all the tasks executing on a CPU if and on    378  of all the tasks executing on a CPU if and only if the total utilization
379  of the tasks running on such a CPU is smaller    379  of the tasks running on such a CPU is smaller or equal than 1.
380  If D_i != P_i for some task, then it is possi    380  If D_i != P_i for some task, then it is possible to define the density of
381  a task as WCET_i/min{D_i,P_i}, and EDF is abl    381  a task as WCET_i/min{D_i,P_i}, and EDF is able to respect all the deadlines
382  of all the tasks running on a CPU if the sum     382  of all the tasks running on a CPU if the sum of the densities of the tasks
383  running on such a CPU is smaller or equal tha    383  running on such a CPU is smaller or equal than 1:
384                                                   384 
385         sum(WCET_i / min{D_i, P_i}) <= 1          385         sum(WCET_i / min{D_i, P_i}) <= 1
386                                                   386 
387  It is important to notice that this condition    387  It is important to notice that this condition is only sufficient, and not
388  necessary: there are task sets that are sched    388  necessary: there are task sets that are schedulable, but do not respect the
389  condition. For example, consider the task set    389  condition. For example, consider the task set {Task_1,Task_2} composed by
390  Task_1=(50ms,50ms,100ms) and Task_2=(10ms,100    390  Task_1=(50ms,50ms,100ms) and Task_2=(10ms,100ms,100ms).
391  EDF is clearly able to schedule the two tasks    391  EDF is clearly able to schedule the two tasks without missing any deadline
392  (Task_1 is scheduled as soon as it is release    392  (Task_1 is scheduled as soon as it is released, and finishes just in time
393  to respect its deadline; Task_2 is scheduled     393  to respect its deadline; Task_2 is scheduled immediately after Task_1, hence
394  its response time cannot be larger than 50ms     394  its response time cannot be larger than 50ms + 10ms = 60ms) even if
395                                                   395 
396         50 / min{50,100} + 10 / min{100, 100}     396         50 / min{50,100} + 10 / min{100, 100} = 50 / 50 + 10 / 100 = 1.1
397                                                   397 
398  Of course it is possible to test the exact sc    398  Of course it is possible to test the exact schedulability of tasks with
399  D_i != P_i (checking a condition that is both    399  D_i != P_i (checking a condition that is both sufficient and necessary),
400  but this cannot be done by comparing the tota    400  but this cannot be done by comparing the total utilization or density with
401  a constant. Instead, the so called "processor    401  a constant. Instead, the so called "processor demand" approach can be used,
402  computing the total amount of CPU time h(t) n    402  computing the total amount of CPU time h(t) needed by all the tasks to
403  respect all of their deadlines in a time inte    403  respect all of their deadlines in a time interval of size t, and comparing
404  such a time with the interval size t. If h(t)    404  such a time with the interval size t. If h(t) is smaller than t (that is,
405  the amount of time needed by the tasks in a t    405  the amount of time needed by the tasks in a time interval of size t is
406  smaller than the size of the interval) for al    406  smaller than the size of the interval) for all the possible values of t, then
407  EDF is able to schedule the tasks respecting     407  EDF is able to schedule the tasks respecting all of their deadlines. Since
408  performing this check for all possible values    408  performing this check for all possible values of t is impossible, it has been
409  proven[4,5,6] that it is sufficient to perfor    409  proven[4,5,6] that it is sufficient to perform the test for values of t
410  between 0 and a maximum value L. The cited pa    410  between 0 and a maximum value L. The cited papers contain all of the
411  mathematical details and explain how to compu    411  mathematical details and explain how to compute h(t) and L.
412  In any case, this kind of analysis is too com    412  In any case, this kind of analysis is too complex as well as too
413  time-consuming to be performed on-line. Hence    413  time-consuming to be performed on-line. Hence, as explained in Section
414  4 Linux uses an admission test based on the t    414  4 Linux uses an admission test based on the tasks' utilizations.
415                                                   415 
416 3.3 Schedulability Analysis for Multiprocessor    416 3.3 Schedulability Analysis for Multiprocessor Systems
417 ----------------------------------------------    417 ------------------------------------------------------
418                                                   418 
419  On multiprocessor systems with global EDF sch    419  On multiprocessor systems with global EDF scheduling (non partitioned
420  systems), a sufficient test for schedulabilit    420  systems), a sufficient test for schedulability can not be based on the
421  utilizations or densities: it can be shown th    421  utilizations or densities: it can be shown that even if D_i = P_i task
422  sets with utilizations slightly larger than 1    422  sets with utilizations slightly larger than 1 can miss deadlines regardless
423  of the number of CPUs.                           423  of the number of CPUs.
424                                                   424 
425  Consider a set {Task_1,...Task_{M+1}} of M+1     425  Consider a set {Task_1,...Task_{M+1}} of M+1 tasks on a system with M
426  CPUs, with the first task Task_1=(P,P,P) havi    426  CPUs, with the first task Task_1=(P,P,P) having period, relative deadline
427  and WCET equal to P. The remaining M tasks Ta    427  and WCET equal to P. The remaining M tasks Task_i=(e,P-1,P-1) have an
428  arbitrarily small worst case execution time (    428  arbitrarily small worst case execution time (indicated as "e" here) and a
429  period smaller than the one of the first task    429  period smaller than the one of the first task. Hence, if all the tasks
430  activate at the same time t, global EDF sched    430  activate at the same time t, global EDF schedules these M tasks first
431  (because their absolute deadlines are equal t    431  (because their absolute deadlines are equal to t + P - 1, hence they are
432  smaller than the absolute deadline of Task_1,    432  smaller than the absolute deadline of Task_1, which is t + P). As a
433  result, Task_1 can be scheduled only at time     433  result, Task_1 can be scheduled only at time t + e, and will finish at
434  time t + e + P, after its absolute deadline.     434  time t + e + P, after its absolute deadline. The total utilization of the
435  task set is U = M · e / (P - 1) + P / P = M     435  task set is U = M · e / (P - 1) + P / P = M · e / (P - 1) + 1, and for small
436  values of e this can become very close to 1.     436  values of e this can become very close to 1. This is known as "Dhall's
437  effect"[7]. Note: the example in the original    437  effect"[7]. Note: the example in the original paper by Dhall has been
438  slightly simplified here (for example, Dhall     438  slightly simplified here (for example, Dhall more correctly computed
439  lim_{e->0}U).                                    439  lim_{e->0}U).
440                                                   440 
441  More complex schedulability tests for global     441  More complex schedulability tests for global EDF have been developed in
442  real-time literature[8,9], but they are not b    442  real-time literature[8,9], but they are not based on a simple comparison
443  between total utilization (or density) and a     443  between total utilization (or density) and a fixed constant. If all tasks
444  have D_i = P_i, a sufficient schedulability c    444  have D_i = P_i, a sufficient schedulability condition can be expressed in
445  a simple way:                                    445  a simple way:
446                                                   446 
447         sum(WCET_i / P_i) <= M - (M - 1) · U_    447         sum(WCET_i / P_i) <= M - (M - 1) · U_max
448                                                   448 
449  where U_max = max{WCET_i / P_i}[10]. Notice t    449  where U_max = max{WCET_i / P_i}[10]. Notice that for U_max = 1,
450  M - (M - 1) · U_max becomes M - M + 1 = 1 an    450  M - (M - 1) · U_max becomes M - M + 1 = 1 and this schedulability condition
451  just confirms the Dhall's effect. A more comp    451  just confirms the Dhall's effect. A more complete survey of the literature
452  about schedulability tests for multi-processo    452  about schedulability tests for multi-processor real-time scheduling can be
453  found in [11].                                   453  found in [11].
454                                                   454 
455  As seen, enforcing that the total utilization    455  As seen, enforcing that the total utilization is smaller than M does not
456  guarantee that global EDF schedules the tasks    456  guarantee that global EDF schedules the tasks without missing any deadline
457  (in other words, global EDF is not an optimal    457  (in other words, global EDF is not an optimal scheduling algorithm). However,
458  a total utilization smaller than M is enough     458  a total utilization smaller than M is enough to guarantee that non real-time
459  tasks are not starved and that the tardiness     459  tasks are not starved and that the tardiness of real-time tasks has an upper
460  bound[12] (as previously noted). Different bo    460  bound[12] (as previously noted). Different bounds on the maximum tardiness
461  experienced by real-time tasks have been deve    461  experienced by real-time tasks have been developed in various papers[13,14],
462  but the theoretical result that is important     462  but the theoretical result that is important for SCHED_DEADLINE is that if
463  the total utilization is smaller or equal tha    463  the total utilization is smaller or equal than M then the response times of
464  the tasks are limited.                           464  the tasks are limited.
465                                                   465 
466 3.4 Relationship with SCHED_DEADLINE Parameter    466 3.4 Relationship with SCHED_DEADLINE Parameters
467 ----------------------------------------------    467 -----------------------------------------------
468                                                   468 
469  Finally, it is important to understand the re    469  Finally, it is important to understand the relationship between the
470  SCHED_DEADLINE scheduling parameters describe    470  SCHED_DEADLINE scheduling parameters described in Section 2 (runtime,
471  deadline and period) and the real-time task p    471  deadline and period) and the real-time task parameters (WCET, D, P)
472  described in this section. Note that the task    472  described in this section. Note that the tasks' temporal constraints are
473  represented by its absolute deadlines d_j = r    473  represented by its absolute deadlines d_j = r_j + D described above, while
474  SCHED_DEADLINE schedules the tasks according     474  SCHED_DEADLINE schedules the tasks according to scheduling deadlines (see
475  Section 2).                                      475  Section 2).
476  If an admission test is used to guarantee tha    476  If an admission test is used to guarantee that the scheduling deadlines
477  are respected, then SCHED_DEADLINE can be use    477  are respected, then SCHED_DEADLINE can be used to schedule real-time tasks
478  guaranteeing that all the jobs' deadlines of     478  guaranteeing that all the jobs' deadlines of a task are respected.
479  In order to do this, a task must be scheduled    479  In order to do this, a task must be scheduled by setting:
480                                                   480 
481   - runtime >= WCET                               481   - runtime >= WCET
482   - deadline = D                                  482   - deadline = D
483   - period <= P                                   483   - period <= P
484                                                   484 
485  IOW, if runtime >= WCET and if period is <= P    485  IOW, if runtime >= WCET and if period is <= P, then the scheduling deadlines
486  and the absolute deadlines (d_j) coincide, so    486  and the absolute deadlines (d_j) coincide, so a proper admission control
487  allows to respect the jobs' absolute deadline    487  allows to respect the jobs' absolute deadlines for this task (this is what is
488  called "hard schedulability property" and is     488  called "hard schedulability property" and is an extension of Lemma 1 of [2]).
489  Notice that if runtime > deadline the admissi    489  Notice that if runtime > deadline the admission control will surely reject
490  this task, as it is not possible to respect i    490  this task, as it is not possible to respect its temporal constraints.
491                                                   491 
492  References:                                      492  References:
493                                                   493 
494   1 - C. L. Liu and J. W. Layland. Scheduling     494   1 - C. L. Liu and J. W. Layland. Scheduling algorithms for multiprogram-
495       ming in a hard-real-time environment. Jo    495       ming in a hard-real-time environment. Journal of the Association for
496       Computing Machinery, 20(1), 1973.           496       Computing Machinery, 20(1), 1973.
497   2 - L. Abeni , G. Buttazzo. Integrating Mult    497   2 - L. Abeni , G. Buttazzo. Integrating Multimedia Applications in Hard
498       Real-Time Systems. Proceedings of the 19    498       Real-Time Systems. Proceedings of the 19th IEEE Real-time Systems
499       Symposium, 1998. http://retis.sssup.it/~    499       Symposium, 1998. http://retis.sssup.it/~giorgio/paps/1998/rtss98-cbs.pdf
500   3 - L. Abeni. Server Mechanisms for Multimed    500   3 - L. Abeni. Server Mechanisms for Multimedia Applications. ReTiS Lab
501       Technical Report. http://disi.unitn.it/~    501       Technical Report. http://disi.unitn.it/~abeni/tr-98-01.pdf
502   4 - J. Y. Leung and M.L. Merril. A Note on P    502   4 - J. Y. Leung and M.L. Merril. A Note on Preemptive Scheduling of
503       Periodic, Real-Time Tasks. Information P    503       Periodic, Real-Time Tasks. Information Processing Letters, vol. 11,
504       no. 3, pp. 115-118, 1980.                   504       no. 3, pp. 115-118, 1980.
505   5 - S. K. Baruah, A. K. Mok and L. E. Rosier    505   5 - S. K. Baruah, A. K. Mok and L. E. Rosier. Preemptively Scheduling
506       Hard-Real-Time Sporadic Tasks on One Pro    506       Hard-Real-Time Sporadic Tasks on One Processor. Proceedings of the
507       11th IEEE Real-time Systems Symposium, 1    507       11th IEEE Real-time Systems Symposium, 1990.
508   6 - S. K. Baruah, L. E. Rosier and R. R. How    508   6 - S. K. Baruah, L. E. Rosier and R. R. Howell. Algorithms and Complexity
509       Concerning the Preemptive Scheduling of     509       Concerning the Preemptive Scheduling of Periodic Real-Time tasks on
510       One Processor. Real-Time Systems Journal    510       One Processor. Real-Time Systems Journal, vol. 4, no. 2, pp 301-324,
511       1990.                                       511       1990.
512   7 - S. J. Dhall and C. L. Liu. On a real-tim    512   7 - S. J. Dhall and C. L. Liu. On a real-time scheduling problem. Operations
513       research, vol. 26, no. 1, pp 127-140, 19    513       research, vol. 26, no. 1, pp 127-140, 1978.
514   8 - T. Baker. Multiprocessor EDF and Deadlin    514   8 - T. Baker. Multiprocessor EDF and Deadline Monotonic Schedulability
515       Analysis. Proceedings of the 24th IEEE R    515       Analysis. Proceedings of the 24th IEEE Real-Time Systems Symposium, 2003.
516   9 - T. Baker. An Analysis of EDF Schedulabil    516   9 - T. Baker. An Analysis of EDF Schedulability on a Multiprocessor.
517       IEEE Transactions on Parallel and Distri    517       IEEE Transactions on Parallel and Distributed Systems, vol. 16, no. 8,
518       pp 760-768, 2005.                           518       pp 760-768, 2005.
519   10 - J. Goossens, S. Funk and S. Baruah, Pri    519   10 - J. Goossens, S. Funk and S. Baruah, Priority-Driven Scheduling of
520        Periodic Task Systems on Multiprocessor    520        Periodic Task Systems on Multiprocessors. Real-Time Systems Journal,
521        vol. 25, no. 2–3, pp. 187–205, 2003    521        vol. 25, no. 2–3, pp. 187–205, 2003.
522   11 - R. Davis and A. Burns. A Survey of Hard    522   11 - R. Davis and A. Burns. A Survey of Hard Real-Time Scheduling for
523        Multiprocessor Systems. ACM Computing S    523        Multiprocessor Systems. ACM Computing Surveys, vol. 43, no. 4, 2011.
524        http://www-users.cs.york.ac.uk/~robdavi    524        http://www-users.cs.york.ac.uk/~robdavis/papers/MPSurveyv5.0.pdf
525   12 - U. C. Devi and J. H. Anderson. Tardines    525   12 - U. C. Devi and J. H. Anderson. Tardiness Bounds under Global EDF
526        Scheduling on a Multiprocessor. Real-Ti    526        Scheduling on a Multiprocessor. Real-Time Systems Journal, vol. 32,
527        no. 2, pp 133-189, 2008.                   527        no. 2, pp 133-189, 2008.
528   13 - P. Valente and G. Lipari. An Upper Boun    528   13 - P. Valente and G. Lipari. An Upper Bound to the Lateness of Soft
529        Real-Time Tasks Scheduled by EDF on Mul    529        Real-Time Tasks Scheduled by EDF on Multiprocessors. Proceedings of
530        the 26th IEEE Real-Time Systems Symposi    530        the 26th IEEE Real-Time Systems Symposium, 2005.
531   14 - J. Erickson, U. Devi and S. Baruah. Imp    531   14 - J. Erickson, U. Devi and S. Baruah. Improved tardiness bounds for
532        Global EDF. Proceedings of the 22nd Eur    532        Global EDF. Proceedings of the 22nd Euromicro Conference on
533        Real-Time Systems, 2010.                   533        Real-Time Systems, 2010.
534   15 - G. Lipari, S. Baruah, Greedy reclamatio    534   15 - G. Lipari, S. Baruah, Greedy reclamation of unused bandwidth in
535        constant-bandwidth servers, 12th IEEE E    535        constant-bandwidth servers, 12th IEEE Euromicro Conference on Real-Time
536        Systems, 2000.                             536        Systems, 2000.
537   16 - L. Abeni, J. Lelli, C. Scordino, L. Pal    537   16 - L. Abeni, J. Lelli, C. Scordino, L. Palopoli, Greedy CPU reclaiming for
538        SCHED DEADLINE. In Proceedings of the R    538        SCHED DEADLINE. In Proceedings of the Real-Time Linux Workshop (RTLWS),
539        Dusseldorf, Germany, 2014.                 539        Dusseldorf, Germany, 2014.
540   17 - L. Abeni, G. Lipari, A. Parri, Y. Sun,     540   17 - L. Abeni, G. Lipari, A. Parri, Y. Sun, Multicore CPU reclaiming: parallel
541        or sequential?. In Proceedings of the 3    541        or sequential?. In Proceedings of the 31st Annual ACM Symposium on Applied
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543   18 - J. Lelli, C. Scordino, L. Abeni, D. Fag    543   18 - J. Lelli, C. Scordino, L. Abeni, D. Faggioli, Deadline scheduling in the
544        Linux kernel, Software: Practice and Ex    544        Linux kernel, Software: Practice and Experience, 46(6): 821-839, June
545        2016.                                      545        2016.
546   19 - C. Scordino, L. Abeni, J. Lelli, Energy    546   19 - C. Scordino, L. Abeni, J. Lelli, Energy-Aware Real-Time Scheduling in
547        the Linux Kernel, 33rd ACM/SIGAPP Sympo    547        the Linux Kernel, 33rd ACM/SIGAPP Symposium On Applied Computing (SAC
548        2018), Pau, France, April 2018.            548        2018), Pau, France, April 2018.
549                                                   549 
550                                                   550 
551 4. Bandwidth management                           551 4. Bandwidth management
552 =======================                           552 =======================
553                                                   553 
554  As previously mentioned, in order for -deadli    554  As previously mentioned, in order for -deadline scheduling to be
555  effective and useful (that is, to be able to     555  effective and useful (that is, to be able to provide "runtime" time units
556  within "deadline"), it is important to have s    556  within "deadline"), it is important to have some method to keep the allocation
557  of the available fractions of CPU time to the    557  of the available fractions of CPU time to the various tasks under control.
558  This is usually called "admission control" an    558  This is usually called "admission control" and if it is not performed, then
559  no guarantee can be given on the actual sched    559  no guarantee can be given on the actual scheduling of the -deadline tasks.
560                                                   560 
561  As already stated in Section 3, a necessary c    561  As already stated in Section 3, a necessary condition to be respected to
562  correctly schedule a set of real-time tasks i    562  correctly schedule a set of real-time tasks is that the total utilization
563  is smaller than M. When talking about -deadli    563  is smaller than M. When talking about -deadline tasks, this requires that
564  the sum of the ratio between runtime and peri    564  the sum of the ratio between runtime and period for all tasks is smaller
565  than M. Notice that the ratio runtime/period     565  than M. Notice that the ratio runtime/period is equivalent to the utilization
566  of a "traditional" real-time task, and is als    566  of a "traditional" real-time task, and is also often referred to as
567  "bandwidth".                                     567  "bandwidth".
568  The interface used to control the CPU bandwid    568  The interface used to control the CPU bandwidth that can be allocated
569  to -deadline tasks is similar to the one alre    569  to -deadline tasks is similar to the one already used for -rt
570  tasks with real-time group scheduling (a.k.a.    570  tasks with real-time group scheduling (a.k.a. RT-throttling - see
571  Documentation/scheduler/sched-rt-group.rst),     571  Documentation/scheduler/sched-rt-group.rst), and is based on readable/
572  writable control files located in procfs (for    572  writable control files located in procfs (for system wide settings).
573  Notice that per-group settings (controlled th    573  Notice that per-group settings (controlled through cgroupfs) are still not
574  defined for -deadline tasks, because more dis    574  defined for -deadline tasks, because more discussion is needed in order to
575  figure out how we want to manage SCHED_DEADLI    575  figure out how we want to manage SCHED_DEADLINE bandwidth at the task group
576  level.                                           576  level.
577                                                   577 
578  A main difference between deadline bandwidth     578  A main difference between deadline bandwidth management and RT-throttling
579  is that -deadline tasks have bandwidth on the    579  is that -deadline tasks have bandwidth on their own (while -rt ones don't!),
580  and thus we don't need a higher level throttl    580  and thus we don't need a higher level throttling mechanism to enforce the
581  desired bandwidth. In other words, this means    581  desired bandwidth. In other words, this means that interface parameters are
582  only used at admission control time (i.e., wh    582  only used at admission control time (i.e., when the user calls
583  sched_setattr()). Scheduling is then performe    583  sched_setattr()). Scheduling is then performed considering actual tasks'
584  parameters, so that CPU bandwidth is allocate    584  parameters, so that CPU bandwidth is allocated to SCHED_DEADLINE tasks
585  respecting their needs in terms of granularit    585  respecting their needs in terms of granularity. Therefore, using this simple
586  interface we can put a cap on total utilizati    586  interface we can put a cap on total utilization of -deadline tasks (i.e.,
587  \Sum (runtime_i / period_i) < global_dl_utili    587  \Sum (runtime_i / period_i) < global_dl_utilization_cap).
588                                                   588 
589 4.1 System wide settings                          589 4.1 System wide settings
590 ------------------------                          590 ------------------------
591                                                   591 
592  The system wide settings are configured under    592  The system wide settings are configured under the /proc virtual file system.
593                                                   593 
594  For now the -rt knobs are used for -deadline     594  For now the -rt knobs are used for -deadline admission control and the
595  -deadline runtime is accounted against the -r    595  -deadline runtime is accounted against the -rt runtime. We realize that this
596  isn't entirely desirable; however, it is bett    596  isn't entirely desirable; however, it is better to have a small interface for
597  now, and be able to change it easily later. T    597  now, and be able to change it easily later. The ideal situation (see 5.) is to
598  run -rt tasks from a -deadline server; in whi    598  run -rt tasks from a -deadline server; in which case the -rt bandwidth is a
599  direct subset of dl_bw.                          599  direct subset of dl_bw.
600                                                   600 
601  This means that, for a root_domain comprising    601  This means that, for a root_domain comprising M CPUs, -deadline tasks
602  can be created while the sum of their bandwid    602  can be created while the sum of their bandwidths stays below:
603                                                   603 
604    M * (sched_rt_runtime_us / sched_rt_period_    604    M * (sched_rt_runtime_us / sched_rt_period_us)
605                                                   605 
606  It is also possible to disable this bandwidth    606  It is also possible to disable this bandwidth management logic, and
607  be thus free of oversubscribing the system up    607  be thus free of oversubscribing the system up to any arbitrary level.
608  This is done by writing -1 in /proc/sys/kerne    608  This is done by writing -1 in /proc/sys/kernel/sched_rt_runtime_us.
609                                                   609 
610                                                   610 
611 4.2 Task interface                                611 4.2 Task interface
612 ------------------                                612 ------------------
613                                                   613 
614  Specifying a periodic/sporadic task that exec    614  Specifying a periodic/sporadic task that executes for a given amount of
615  runtime at each instance, and that is schedul    615  runtime at each instance, and that is scheduled according to the urgency of
616  its own timing constraints needs, in general,    616  its own timing constraints needs, in general, a way of declaring:
617                                                   617 
618   - a (maximum/typical) instance execution tim    618   - a (maximum/typical) instance execution time,
619   - a minimum interval between consecutive ins    619   - a minimum interval between consecutive instances,
620   - a time constraint by which each instance m    620   - a time constraint by which each instance must be completed.
621                                                   621 
622  Therefore:                                       622  Therefore:
623                                                   623 
624   * a new struct sched_attr, containing all th    624   * a new struct sched_attr, containing all the necessary fields is
625     provided;                                     625     provided;
626   * the new scheduling related syscalls that m    626   * the new scheduling related syscalls that manipulate it, i.e.,
627     sched_setattr() and sched_getattr() are im    627     sched_setattr() and sched_getattr() are implemented.
628                                                   628 
629  For debugging purposes, the leftover runtime     629  For debugging purposes, the leftover runtime and absolute deadline of a
630  SCHED_DEADLINE task can be retrieved through     630  SCHED_DEADLINE task can be retrieved through /proc/<pid>/sched (entries
631  dl.runtime and dl.deadline, both values in ns    631  dl.runtime and dl.deadline, both values in ns). A programmatic way to
632  retrieve these values from production code is    632  retrieve these values from production code is under discussion.
633                                                   633 
634                                                   634 
635 4.3 Default behavior                              635 4.3 Default behavior
636 ---------------------                             636 ---------------------
637                                                   637 
638  The default value for SCHED_DEADLINE bandwidt    638  The default value for SCHED_DEADLINE bandwidth is to have rt_runtime equal to
639  950000. With rt_period equal to 1000000, by d    639  950000. With rt_period equal to 1000000, by default, it means that -deadline
640  tasks can use at most 95%, multiplied by the     640  tasks can use at most 95%, multiplied by the number of CPUs that compose the
641  root_domain, for each root_domain.               641  root_domain, for each root_domain.
642  This means that non -deadline tasks will rece    642  This means that non -deadline tasks will receive at least 5% of the CPU time,
643  and that -deadline tasks will receive their r    643  and that -deadline tasks will receive their runtime with a guaranteed
644  worst-case delay respect to the "deadline" pa    644  worst-case delay respect to the "deadline" parameter. If "deadline" = "period"
645  and the cpuset mechanism is used to implement    645  and the cpuset mechanism is used to implement partitioned scheduling (see
646  Section 5), then this simple setting of the b    646  Section 5), then this simple setting of the bandwidth management is able to
647  deterministically guarantee that -deadline ta    647  deterministically guarantee that -deadline tasks will receive their runtime
648  in a period.                                     648  in a period.
649                                                   649 
650  Finally, notice that in order not to jeopardi    650  Finally, notice that in order not to jeopardize the admission control a
651  -deadline task cannot fork.                      651  -deadline task cannot fork.
652                                                   652 
653                                                   653 
654 4.4 Behavior of sched_yield()                     654 4.4 Behavior of sched_yield()
655 -----------------------------                     655 -----------------------------
656                                                   656 
657  When a SCHED_DEADLINE task calls sched_yield(    657  When a SCHED_DEADLINE task calls sched_yield(), it gives up its
658  remaining runtime and is immediately throttle    658  remaining runtime and is immediately throttled, until the next
659  period, when its runtime will be replenished     659  period, when its runtime will be replenished (a special flag
660  dl_yielded is set and used to handle correctl    660  dl_yielded is set and used to handle correctly throttling and runtime
661  replenishment after a call to sched_yield()).    661  replenishment after a call to sched_yield()).
662                                                   662 
663  This behavior of sched_yield() allows the tas    663  This behavior of sched_yield() allows the task to wake-up exactly at
664  the beginning of the next period. Also, this     664  the beginning of the next period. Also, this may be useful in the
665  future with bandwidth reclaiming mechanisms,     665  future with bandwidth reclaiming mechanisms, where sched_yield() will
666  make the leftoever runtime available for recl    666  make the leftoever runtime available for reclamation by other
667  SCHED_DEADLINE tasks.                            667  SCHED_DEADLINE tasks.
668                                                   668 
669                                                   669 
670 5. Tasks CPU affinity                             670 5. Tasks CPU affinity
671 =====================                             671 =====================
672                                                   672 
673  -deadline tasks cannot have an affinity mask     673  -deadline tasks cannot have an affinity mask smaller that the entire
674  root_domain they are created on. However, aff    674  root_domain they are created on. However, affinities can be specified
675  through the cpuset facility (Documentation/ad    675  through the cpuset facility (Documentation/admin-guide/cgroup-v1/cpusets.rst).
676                                                   676 
677 5.1 SCHED_DEADLINE and cpusets HOWTO              677 5.1 SCHED_DEADLINE and cpusets HOWTO
678 ------------------------------------              678 ------------------------------------
679                                                   679 
680  An example of a simple configuration (pin a -    680  An example of a simple configuration (pin a -deadline task to CPU0)
681  follows (rt-app is used to create a -deadline    681  follows (rt-app is used to create a -deadline task)::
682                                                   682 
683    mkdir /dev/cpuset                              683    mkdir /dev/cpuset
684    mount -t cgroup -o cpuset cpuset /dev/cpuse    684    mount -t cgroup -o cpuset cpuset /dev/cpuset
685    cd /dev/cpuset                                 685    cd /dev/cpuset
686    mkdir cpu0                                     686    mkdir cpu0
687    echo 0 > cpu0/cpuset.cpus                      687    echo 0 > cpu0/cpuset.cpus
688    echo 0 > cpu0/cpuset.mems                      688    echo 0 > cpu0/cpuset.mems
689    echo 1 > cpuset.cpu_exclusive                  689    echo 1 > cpuset.cpu_exclusive
690    echo 0 > cpuset.sched_load_balance             690    echo 0 > cpuset.sched_load_balance
691    echo 1 > cpu0/cpuset.cpu_exclusive             691    echo 1 > cpu0/cpuset.cpu_exclusive
692    echo 1 > cpu0/cpuset.mem_exclusive             692    echo 1 > cpu0/cpuset.mem_exclusive
693    echo $$ > cpu0/tasks                           693    echo $$ > cpu0/tasks
694    rt-app -t 100000:10000:d:0 -D5 # it is now     694    rt-app -t 100000:10000:d:0 -D5 # it is now actually superfluous to specify
695                                   # task affin    695                                   # task affinity
696                                                   696 
697 6. Future plans                                   697 6. Future plans
698 ===============                                   698 ===============
699                                                   699 
700  Still missing:                                   700  Still missing:
701                                                   701 
702   - programmatic way to retrieve current runti    702   - programmatic way to retrieve current runtime and absolute deadline
703   - refinements to deadline inheritance, espec    703   - refinements to deadline inheritance, especially regarding the possibility
704     of retaining bandwidth isolation among non    704     of retaining bandwidth isolation among non-interacting tasks. This is
705     being studied from both theoretical and pr    705     being studied from both theoretical and practical points of view, and
706     hopefully we should be able to produce som    706     hopefully we should be able to produce some demonstrative code soon;
707   - (c)group based bandwidth management, and m    707   - (c)group based bandwidth management, and maybe scheduling;
708   - access control for non-root users (and rel    708   - access control for non-root users (and related security concerns to
709     address), which is the best way to allow u    709     address), which is the best way to allow unprivileged use of the mechanisms
710     and how to prevent non-root users "cheat"     710     and how to prevent non-root users "cheat" the system?
711                                                   711 
712  As already discussed, we are planning also to    712  As already discussed, we are planning also to merge this work with the EDF
713  throttling patches [https://lore.kernel.org/r    713  throttling patches [https://lore.kernel.org/r/cover.1266931410.git.fabio@helm.retis] but we still are in
714  the preliminary phases of the merge and we re    714  the preliminary phases of the merge and we really seek feedback that would
715  help us decide on the direction it should tak    715  help us decide on the direction it should take.
716                                                   716 
717 Appendix A. Test suite                            717 Appendix A. Test suite
718 ======================                            718 ======================
719                                                   719 
720  The SCHED_DEADLINE policy can be easily teste    720  The SCHED_DEADLINE policy can be easily tested using two applications that
721  are part of a wider Linux Scheduler validatio    721  are part of a wider Linux Scheduler validation suite. The suite is
722  available as a GitHub repository: https://git    722  available as a GitHub repository: https://github.com/scheduler-tools.
723                                                   723 
724  The first testing application is called rt-ap    724  The first testing application is called rt-app and can be used to
725  start multiple threads with specific paramete    725  start multiple threads with specific parameters. rt-app supports
726  SCHED_{OTHER,FIFO,RR,DEADLINE} scheduling pol    726  SCHED_{OTHER,FIFO,RR,DEADLINE} scheduling policies and their related
727  parameters (e.g., niceness, priority, runtime    727  parameters (e.g., niceness, priority, runtime/deadline/period). rt-app
728  is a valuable tool, as it can be used to synt    728  is a valuable tool, as it can be used to synthetically recreate certain
729  workloads (maybe mimicking real use-cases) an    729  workloads (maybe mimicking real use-cases) and evaluate how the scheduler
730  behaves under such workloads. In this way, re    730  behaves under such workloads. In this way, results are easily reproducible.
731  rt-app is available at: https://github.com/sc    731  rt-app is available at: https://github.com/scheduler-tools/rt-app.
732                                                   732 
733  Thread parameters can be specified from the c    733  Thread parameters can be specified from the command line, with something like
734  this::                                           734  this::
735                                                   735 
736   # rt-app -t 100000:10000:d -t 150000:20000:f    736   # rt-app -t 100000:10000:d -t 150000:20000:f:10 -D5
737                                                   737 
738  The above creates 2 threads. The first one, s    738  The above creates 2 threads. The first one, scheduled by SCHED_DEADLINE,
739  executes for 10ms every 100ms. The second one    739  executes for 10ms every 100ms. The second one, scheduled at SCHED_FIFO
740  priority 10, executes for 20ms every 150ms. T    740  priority 10, executes for 20ms every 150ms. The test will run for a total
741  of 5 seconds.                                    741  of 5 seconds.
742                                                   742 
743  More interestingly, configurations can be des    743  More interestingly, configurations can be described with a json file that
744  can be passed as input to rt-app with somethi    744  can be passed as input to rt-app with something like this::
745                                                   745 
746   # rt-app my_config.json                         746   # rt-app my_config.json
747                                                   747 
748  The parameters that can be specified with the    748  The parameters that can be specified with the second method are a superset
749  of the command line options. Please refer to     749  of the command line options. Please refer to rt-app documentation for more
750  details (`<rt-app-sources>/doc/*.json`).         750  details (`<rt-app-sources>/doc/*.json`).
751                                                   751 
752  The second testing application is a modificat    752  The second testing application is a modification of schedtool, called
753  schedtool-dl, which can be used to setup SCHE    753  schedtool-dl, which can be used to setup SCHED_DEADLINE parameters for a
754  certain pid/application. schedtool-dl is avai    754  certain pid/application. schedtool-dl is available at:
755  https://github.com/scheduler-tools/schedtool-    755  https://github.com/scheduler-tools/schedtool-dl.git.
756                                                   756 
757  The usage is straightforward::                   757  The usage is straightforward::
758                                                   758 
759   # schedtool -E -t 10000000:100000000 -e ./my    759   # schedtool -E -t 10000000:100000000 -e ./my_cpuhog_app
760                                                   760 
761  With this, my_cpuhog_app is put to run inside    761  With this, my_cpuhog_app is put to run inside a SCHED_DEADLINE reservation
762  of 10ms every 100ms (note that parameters are    762  of 10ms every 100ms (note that parameters are expressed in microseconds).
763  You can also use schedtool to create a reserv    763  You can also use schedtool to create a reservation for an already running
764  application, given that you know its pid::       764  application, given that you know its pid::
765                                                   765 
766   # schedtool -E -t 10000000:100000000 my_app_    766   # schedtool -E -t 10000000:100000000 my_app_pid
767                                                   767 
768 Appendix B. Minimal main()                        768 Appendix B. Minimal main()
769 ==========================                        769 ==========================
770                                                   770 
771  We provide in what follows a simple (ugly) se    771  We provide in what follows a simple (ugly) self-contained code snippet
772  showing how SCHED_DEADLINE reservations can b    772  showing how SCHED_DEADLINE reservations can be created by a real-time
773  application developer::                          773  application developer::
774                                                   774 
775    #define _GNU_SOURCE                            775    #define _GNU_SOURCE
776    #include <unistd.h>                            776    #include <unistd.h>
777    #include <stdio.h>                             777    #include <stdio.h>
778    #include <stdlib.h>                            778    #include <stdlib.h>
779    #include <string.h>                            779    #include <string.h>
780    #include <time.h>                              780    #include <time.h>
781    #include <linux/unistd.h>                      781    #include <linux/unistd.h>
782    #include <linux/kernel.h>                      782    #include <linux/kernel.h>
783    #include <linux/types.h>                       783    #include <linux/types.h>
784    #include <sys/syscall.h>                       784    #include <sys/syscall.h>
785    #include <pthread.h>                           785    #include <pthread.h>
786                                                   786 
787    #define gettid() syscall(__NR_gettid)          787    #define gettid() syscall(__NR_gettid)
788                                                   788 
789    #define SCHED_DEADLINE       6                 789    #define SCHED_DEADLINE       6
790                                                   790 
791    /* XXX use the proper syscall numbers */       791    /* XXX use the proper syscall numbers */
792    #ifdef __x86_64__                              792    #ifdef __x86_64__
793    #define __NR_sched_setattr           314       793    #define __NR_sched_setattr           314
794    #define __NR_sched_getattr           315       794    #define __NR_sched_getattr           315
795    #endif                                         795    #endif
796                                                   796 
797    #ifdef __i386__                                797    #ifdef __i386__
798    #define __NR_sched_setattr           351       798    #define __NR_sched_setattr           351
799    #define __NR_sched_getattr           352       799    #define __NR_sched_getattr           352
800    #endif                                         800    #endif
801                                                   801 
802    #ifdef __arm__                                 802    #ifdef __arm__
803    #define __NR_sched_setattr           380       803    #define __NR_sched_setattr           380
804    #define __NR_sched_getattr           381       804    #define __NR_sched_getattr           381
805    #endif                                         805    #endif
806                                                   806 
807    static volatile int done;                      807    static volatile int done;
808                                                   808 
809    struct sched_attr {                            809    struct sched_attr {
810         __u32 size;                               810         __u32 size;
811                                                   811 
812         __u32 sched_policy;                       812         __u32 sched_policy;
813         __u64 sched_flags;                        813         __u64 sched_flags;
814                                                   814 
815         /* SCHED_NORMAL, SCHED_BATCH */           815         /* SCHED_NORMAL, SCHED_BATCH */
816         __s32 sched_nice;                         816         __s32 sched_nice;
817                                                   817 
818         /* SCHED_FIFO, SCHED_RR */                818         /* SCHED_FIFO, SCHED_RR */
819         __u32 sched_priority;                     819         __u32 sched_priority;
820                                                   820 
821         /* SCHED_DEADLINE (nsec) */               821         /* SCHED_DEADLINE (nsec) */
822         __u64 sched_runtime;                      822         __u64 sched_runtime;
823         __u64 sched_deadline;                     823         __u64 sched_deadline;
824         __u64 sched_period;                       824         __u64 sched_period;
825    };                                             825    };
826                                                   826 
827    int sched_setattr(pid_t pid,                   827    int sched_setattr(pid_t pid,
828                   const struct sched_attr *att    828                   const struct sched_attr *attr,
829                   unsigned int flags)             829                   unsigned int flags)
830    {                                              830    {
831         return syscall(__NR_sched_setattr, pid    831         return syscall(__NR_sched_setattr, pid, attr, flags);
832    }                                              832    }
833                                                   833 
834    int sched_getattr(pid_t pid,                   834    int sched_getattr(pid_t pid,
835                   struct sched_attr *attr,        835                   struct sched_attr *attr,
836                   unsigned int size,              836                   unsigned int size,
837                   unsigned int flags)             837                   unsigned int flags)
838    {                                              838    {
839         return syscall(__NR_sched_getattr, pid    839         return syscall(__NR_sched_getattr, pid, attr, size, flags);
840    }                                              840    }
841                                                   841 
842    void *run_deadline(void *data)                 842    void *run_deadline(void *data)
843    {                                              843    {
844         struct sched_attr attr;                   844         struct sched_attr attr;
845         int x = 0;                                845         int x = 0;
846         int ret;                                  846         int ret;
847         unsigned int flags = 0;                   847         unsigned int flags = 0;
848                                                   848 
849         printf("deadline thread started [%ld]\    849         printf("deadline thread started [%ld]\n", gettid());
850                                                   850 
851         attr.size = sizeof(attr);                 851         attr.size = sizeof(attr);
852         attr.sched_flags = 0;                     852         attr.sched_flags = 0;
853         attr.sched_nice = 0;                      853         attr.sched_nice = 0;
854         attr.sched_priority = 0;                  854         attr.sched_priority = 0;
855                                                   855 
856         /* This creates a 10ms/30ms reservatio    856         /* This creates a 10ms/30ms reservation */
857         attr.sched_policy = SCHED_DEADLINE;       857         attr.sched_policy = SCHED_DEADLINE;
858         attr.sched_runtime = 10 * 1000 * 1000;    858         attr.sched_runtime = 10 * 1000 * 1000;
859         attr.sched_period = attr.sched_deadlin    859         attr.sched_period = attr.sched_deadline = 30 * 1000 * 1000;
860                                                   860 
861         ret = sched_setattr(0, &attr, flags);     861         ret = sched_setattr(0, &attr, flags);
862         if (ret < 0) {                            862         if (ret < 0) {
863                 done = 0;                         863                 done = 0;
864                 perror("sched_setattr");          864                 perror("sched_setattr");
865                 exit(-1);                         865                 exit(-1);
866         }                                         866         }
867                                                   867 
868         while (!done) {                           868         while (!done) {
869                 x++;                              869                 x++;
870         }                                         870         }
871                                                   871 
872         printf("deadline thread dies [%ld]\n",    872         printf("deadline thread dies [%ld]\n", gettid());
873         return NULL;                              873         return NULL;
874    }                                              874    }
875                                                   875 
876    int main (int argc, char **argv)               876    int main (int argc, char **argv)
877    {                                              877    {
878         pthread_t thread;                         878         pthread_t thread;
879                                                   879 
880         printf("main thread [%ld]\n", gettid()    880         printf("main thread [%ld]\n", gettid());
881                                                   881 
882         pthread_create(&thread, NULL, run_dead    882         pthread_create(&thread, NULL, run_deadline, NULL);
883                                                   883 
884         sleep(10);                                884         sleep(10);
885                                                   885 
886         done = 1;                                 886         done = 1;
887         pthread_join(thread, NULL);               887         pthread_join(thread, NULL);
888                                                   888 
889         printf("main dies [%ld]\n", gettid());    889         printf("main dies [%ld]\n", gettid());
890         return 0;                                 890         return 0;
891    }                                              891    }
                                                      

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