perf-optimization.texi 24 KB

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  1. @c -*-texinfo-*-
  2. @c This file is part of the StarPU Handbook.
  3. @c Copyright (C) 2009--2011 Universit@'e de Bordeaux 1
  4. @c Copyright (C) 2010, 2011, 2012, 2013 Centre National de la Recherche Scientifique
  5. @c Copyright (C) 2011 Institut National de Recherche en Informatique et Automatique
  6. @c See the file starpu.texi for copying conditions.
  7. TODO: improve!
  8. @menu
  9. * Data management::
  10. * Task granularity::
  11. * Task submission::
  12. * Task priorities::
  13. * Task scheduling policy::
  14. * Performance model calibration::
  15. * Task distribution vs Data transfer::
  16. * Data prefetch::
  17. * Power-based scheduling::
  18. * Static scheduling::
  19. * Profiling::
  20. * CUDA-specific optimizations::
  21. * Performance debugging::
  22. * Simulated performance::
  23. @end menu
  24. Simply encapsulating application kernels into tasks already permits to
  25. seamlessly support CPU and GPUs at the same time. To achieve good performance, a
  26. few additional changes are needed.
  27. @node Data management
  28. @section Data management
  29. When the application allocates data, whenever possible it should use the
  30. @code{starpu_malloc} function, which will ask CUDA or
  31. OpenCL to make the allocation itself and pin the corresponding allocated
  32. memory. This is needed to permit asynchronous data transfer, i.e. permit data
  33. transfer to overlap with computations. Otherwise, the trace will show that the
  34. @code{DriverCopyAsync} state takes a lot of time, this is because CUDA or OpenCL
  35. then reverts to synchronous transfers.
  36. By default, StarPU leaves replicates of data wherever they were used, in case they
  37. will be re-used by other tasks, thus saving the data transfer time. When some
  38. task modifies some data, all the other replicates are invalidated, and only the
  39. processing unit which ran that task will have a valid replicate of the data. If the application knows
  40. that this data will not be re-used by further tasks, it should advise StarPU to
  41. immediately replicate it to a desired list of memory nodes (given through a
  42. bitmask). This can be understood like the write-through mode of CPU caches.
  43. @cartouche
  44. @smallexample
  45. starpu_data_set_wt_mask(img_handle, 1<<0);
  46. @end smallexample
  47. @end cartouche
  48. will for instance request to always automatically transfer a replicate into the
  49. main memory (node 0), as bit 0 of the write-through bitmask is being set.
  50. @cartouche
  51. @smallexample
  52. starpu_data_set_wt_mask(img_handle, ~0U);
  53. @end smallexample
  54. @end cartouche
  55. will request to always automatically broadcast the updated data to all memory
  56. nodes.
  57. Setting the write-through mask to @code{~0U} can also be useful to make sure all
  58. memory nodes always have a copy of the data, so that it is never evicted when
  59. memory gets scarse.
  60. Implicit data dependency computation can become expensive if a lot
  61. of tasks access the same piece of data. If no dependency is required
  62. on some piece of data (e.g. because it is only accessed in read-only
  63. mode, or because write accesses are actually commutative), use the
  64. @code{starpu_data_set_sequential_consistency_flag} function to disable implicit
  65. dependencies on that data.
  66. In the same vein, accumulation of results in the same data can become a
  67. bottleneck. The use of the @code{STARPU_REDUX} mode permits to optimize such
  68. accumulation (@pxref{Data reduction}). To a lesser extent, the use of the
  69. @code{STARPU_COMMUTE} flag keeps the bottleneck, but at least permits the
  70. accumulation to happen in any order.
  71. Applications often need a data just for temporary results. In such a case,
  72. registration can be made without an initial value, for instance this produces a vector data:
  73. @cartouche
  74. @smallexample
  75. starpu_vector_data_register(&handle, -1, 0, n, sizeof(float));
  76. @end smallexample
  77. @end cartouche
  78. StarPU will then allocate the actual buffer only when it is actually needed,
  79. e.g. directly on the GPU without allocating in main memory.
  80. In the same vein, once the temporary results are not useful any more, the
  81. data should be thrown away. If the handle is not to be reused, it can be
  82. unregistered:
  83. @cartouche
  84. @smallexample
  85. starpu_unregister_submit(handle);
  86. @end smallexample
  87. @end cartouche
  88. actual unregistration will be done after all tasks working on the handle
  89. terminate.
  90. If the handle is to be reused, instead of unregistering it, it can simply be invalidated:
  91. @cartouche
  92. @smallexample
  93. starpu_invalidate_submit(handle);
  94. @end smallexample
  95. @end cartouche
  96. the buffers containing the current value will then be freed, and reallocated
  97. only when another task writes some value to the handle.
  98. @node Task granularity
  99. @section Task granularity
  100. Like any other runtime, StarPU has some overhead to manage tasks. Since
  101. it does smart scheduling and data management, that overhead is not always
  102. neglectable. The order of magnitude of the overhead is typically a couple of
  103. microseconds, which is actually quite smaller than the CUDA overhead itself. The
  104. amount of work that a task should do should thus be somewhat
  105. bigger, to make sure that the overhead becomes neglectible. The offline
  106. performance feedback can provide a measure of task length, which should thus be
  107. checked if bad performance are observed. To get a grasp at the scalability
  108. possibility according to task size, one can run
  109. @code{tests/microbenchs/tasks_size_overhead.sh} which draws curves of the
  110. speedup of independent tasks of very small sizes.
  111. The choice of scheduler also has impact over the overhead: for instance, the
  112. @code{dmda} scheduler takes time to make a decision, while @code{eager} does
  113. not. @code{tasks_size_overhead.sh} can again be used to get a grasp at how much
  114. impact that has on the target machine.
  115. @node Task submission
  116. @section Task submission
  117. To let StarPU make online optimizations, tasks should be submitted
  118. asynchronously as much as possible. Ideally, all the tasks should be
  119. submitted, and mere calls to @code{starpu_task_wait_for_all} or
  120. @code{starpu_data_unregister} be done to wait for
  121. termination. StarPU will then be able to rework the whole schedule, overlap
  122. computation with communication, manage accelerator local memory usage, etc.
  123. @node Task priorities
  124. @section Task priorities
  125. By default, StarPU will consider the tasks in the order they are submitted by
  126. the application. If the application programmer knows that some tasks should
  127. be performed in priority (for instance because their output is needed by many
  128. other tasks and may thus be a bottleneck if not executed early enough), the
  129. @code{priority} field of the task structure should be set to transmit the
  130. priority information to StarPU.
  131. @node Task scheduling policy
  132. @section Task scheduling policy
  133. By default, StarPU uses the @code{eager} simple greedy scheduler. This is
  134. because it provides correct load balance even if the application codelets do not
  135. have performance models. If your application codelets have performance models
  136. (@pxref{Performance model example} for examples showing how to do it),
  137. you should change the scheduler thanks to the @code{STARPU_SCHED} environment
  138. variable. For instance @code{export STARPU_SCHED=dmda} . Use @code{help} to get
  139. the list of available schedulers.
  140. The @b{eager} scheduler uses a central task queue, from which workers draw tasks
  141. to work on. This however does not permit to prefetch data since the scheduling
  142. decision is taken late. If a task has a non-0 priority, it is put at the front of the queue.
  143. The @b{prio} scheduler also uses a central task queue, but sorts tasks by
  144. priority (between -5 and 5).
  145. The @b{random} scheduler distributes tasks randomly according to assumed worker
  146. overall performance.
  147. The @b{ws} (work stealing) scheduler schedules tasks on the local worker by
  148. default. When a worker becomes idle, it steals a task from the most loaded
  149. worker.
  150. The @b{dm} (deque model) scheduler uses task execution performance models into account to
  151. perform an HEFT-similar scheduling strategy: it schedules tasks where their
  152. termination time will be minimal.
  153. The @b{dmda} (deque model data aware) scheduler is similar to dm, it also takes
  154. into account data transfer time.
  155. The @b{dmdar} (deque model data aware ready) scheduler is similar to dmda,
  156. it also sorts tasks on per-worker queues by number of already-available data
  157. buffers.
  158. The @b{dmdas} (deque model data aware sorted) scheduler is similar to dmda, it
  159. also supports arbitrary priority values.
  160. The @b{heft} (heterogeneous earliest finish time) scheduler is deprecated. It
  161. is now just an alias for @b{dmda}.
  162. The @b{pheft} (parallel HEFT) scheduler is similar to heft, it also supports
  163. parallel tasks (still experimental).
  164. The @b{peager} (parallel eager) scheduler is similar to eager, it also
  165. supports parallel tasks (still experimental).
  166. @node Performance model calibration
  167. @section Performance model calibration
  168. Most schedulers are based on an estimation of codelet duration on each kind
  169. of processing unit. For this to be possible, the application programmer needs
  170. to configure a performance model for the codelets of the application (see
  171. @ref{Performance model example} for instance). History-based performance models
  172. use on-line calibration. StarPU will automatically calibrate codelets
  173. which have never been calibrated yet, and save the result in
  174. @code{$STARPU_HOME/.starpu/sampling/codelets}.
  175. The models are indexed by machine name. To share the models between machines (e.g. for a homogeneous cluster), use @code{export STARPU_HOSTNAME=some_global_name}. To force continuing calibration, use
  176. @code{export STARPU_CALIBRATE=1} . This may be necessary if your application
  177. has not-so-stable performance. StarPU will force calibration (and thus ignore
  178. the current result) until 10 (_STARPU_CALIBRATION_MINIMUM) measurements have been
  179. made on each architecture, to avoid badly scheduling tasks just because the
  180. first measurements were not so good. Details on the current performance model status
  181. can be obtained from the @code{starpu_perfmodel_display} command: the @code{-l}
  182. option lists the available performance models, and the @code{-s} option permits
  183. to choose the performance model to be displayed. The result looks like:
  184. @example
  185. $ starpu_perfmodel_display -s starpu_dlu_lu_model_22
  186. performance model for cpu
  187. # hash size mean dev n
  188. 880805ba 98304 2.731309e+02 6.010210e+01 1240
  189. b50b6605 393216 1.469926e+03 1.088828e+02 1240
  190. 5c6c3401 1572864 1.125983e+04 3.265296e+03 1240
  191. @end example
  192. Which shows that for the LU 22 kernel with a 1.5MiB matrix, the average
  193. execution time on CPUs was about 11ms, with a 3ms standard deviation, over
  194. 1240 samples. It is a good idea to check this before doing actual performance
  195. measurements.
  196. A graph can be drawn by using the @code{starpu_perfmodel_plot}:
  197. @example
  198. $ starpu_perfmodel_plot -s starpu_dlu_lu_model_22
  199. 98304 393216 1572864
  200. $ gnuplot starpu_starpu_dlu_lu_model_22.gp
  201. $ gv starpu_starpu_dlu_lu_model_22.eps
  202. @end example
  203. If a kernel source code was modified (e.g. performance improvement), the
  204. calibration information is stale and should be dropped, to re-calibrate from
  205. start. This can be done by using @code{export STARPU_CALIBRATE=2}.
  206. Note: due to CUDA limitations, to be able to measure kernel duration,
  207. calibration mode needs to disable asynchronous data transfers. Calibration thus
  208. disables data transfer / computation overlapping, and should thus not be used
  209. for eventual benchmarks. Note 2: history-based performance models get calibrated
  210. only if a performance-model-based scheduler is chosen.
  211. The history-based performance models can also be explicitly filled by the
  212. application without execution, if e.g. the application already has a series of
  213. measurements. This can be done by using @code{starpu_perfmodel_update_history},
  214. for instance:
  215. @cartouche
  216. @smallexample
  217. static struct starpu_perfmodel perf_model = @{
  218. .type = STARPU_HISTORY_BASED,
  219. .symbol = "my_perfmodel",
  220. @};
  221. struct starpu_codelet cl = @{
  222. .where = STARPU_CUDA,
  223. .cuda_funcs = @{ cuda_func1, cuda_func2, NULL @},
  224. .nbuffers = 1,
  225. .modes = @{STARPU_W@},
  226. .model = &perf_model
  227. @};
  228. void feed(void) @{
  229. struct my_measure *measure;
  230. struct starpu_task task;
  231. starpu_task_init(&task);
  232. task.cl = &cl;
  233. for (measure = &measures[0]; measure < measures[last]; measure++) @{
  234. starpu_data_handle_t handle;
  235. starpu_vector_data_register(&handle, -1, 0, measure->size, sizeof(float));
  236. task.handles[0] = handle;
  237. starpu_perfmodel_update_history(&perf_model, &task,
  238. STARPU_CUDA_DEFAULT + measure->cudadev, 0,
  239. measure->implementation, measure->time);
  240. starpu_task_clean(&task);
  241. starpu_data_unregister(handle);
  242. @}
  243. @}
  244. @end smallexample
  245. @end cartouche
  246. Measurement has to be provided in milliseconds for the completion time models,
  247. and in Joules for the energy consumption models.
  248. @node Task distribution vs Data transfer
  249. @section Task distribution vs Data transfer
  250. Distributing tasks to balance the load induces data transfer penalty. StarPU
  251. thus needs to find a balance between both. The target function that the
  252. @code{dmda} scheduler of StarPU
  253. tries to minimize is @code{alpha * T_execution + beta * T_data_transfer}, where
  254. @code{T_execution} is the estimated execution time of the codelet (usually
  255. accurate), and @code{T_data_transfer} is the estimated data transfer time. The
  256. latter is estimated based on bus calibration before execution start,
  257. i.e. with an idle machine, thus without contention. You can force bus re-calibration by running
  258. @code{starpu_calibrate_bus}. The beta parameter defaults to 1, but it can be
  259. worth trying to tweak it by using @code{export STARPU_SCHED_BETA=2} for instance,
  260. since during real application execution, contention makes transfer times bigger.
  261. This is of course imprecise, but in practice, a rough estimation already gives
  262. the good results that a precise estimation would give.
  263. @node Data prefetch
  264. @section Data prefetch
  265. The @code{heft}, @code{dmda} and @code{pheft} scheduling policies perform data prefetch (see @ref{STARPU_PREFETCH}):
  266. as soon as a scheduling decision is taken for a task, requests are issued to
  267. transfer its required data to the target processing unit, if needeed, so that
  268. when the processing unit actually starts the task, its data will hopefully be
  269. already available and it will not have to wait for the transfer to finish.
  270. The application may want to perform some manual prefetching, for several reasons
  271. such as excluding initial data transfers from performance measurements, or
  272. setting up an initial statically-computed data distribution on the machine
  273. before submitting tasks, which will thus guide StarPU toward an initial task
  274. distribution (since StarPU will try to avoid further transfers).
  275. This can be achieved by giving the @code{starpu_data_prefetch_on_node} function
  276. the handle and the desired target memory node.
  277. @node Power-based scheduling
  278. @section Power-based scheduling
  279. If the application can provide some power performance model (through
  280. the @code{power_model} field of the codelet structure), StarPU will
  281. take it into account when distributing tasks. The target function that
  282. the @code{dmda} scheduler minimizes becomes @code{alpha * T_execution +
  283. beta * T_data_transfer + gamma * Consumption} , where @code{Consumption}
  284. is the estimated task consumption in Joules. To tune this parameter, use
  285. @code{export STARPU_SCHED_GAMMA=3000} for instance, to express that each Joule
  286. (i.e kW during 1000us) is worth 3000us execution time penalty. Setting
  287. @code{alpha} and @code{beta} to zero permits to only take into account power consumption.
  288. This is however not sufficient to correctly optimize power: the scheduler would
  289. simply tend to run all computations on the most energy-conservative processing
  290. unit. To account for the consumption of the whole machine (including idle
  291. processing units), the idle power of the machine should be given by setting
  292. @code{export STARPU_IDLE_POWER=200} for 200W, for instance. This value can often
  293. be obtained from the machine power supplier.
  294. The power actually consumed by the total execution can be displayed by setting
  295. @code{export STARPU_PROFILING=1 STARPU_WORKER_STATS=1} .
  296. On-line task consumption measurement is currently only supported through the
  297. @code{CL_PROFILING_POWER_CONSUMED} OpenCL extension, implemented in the MoviSim
  298. simulator. Applications can however provide explicit measurements by using the
  299. @code{starpu_perfmodel_update_history} function (examplified in @ref{Performance
  300. model example} with the @code{power_model} performance model. Fine-grain
  301. measurement is often not feasible with the feedback provided by the hardware, so
  302. the user can for instance run a given task a thousand times, measure the global
  303. consumption for that series of tasks, divide it by a thousand, repeat for
  304. varying kinds of tasks and task sizes, and eventually feed StarPU
  305. with these manual measurements through @code{starpu_perfmodel_update_history}.
  306. @node Static scheduling
  307. @section Static scheduling
  308. In some cases, one may want to force some scheduling, for instance force a given
  309. set of tasks to GPU0, another set to GPU1, etc. while letting some other tasks
  310. be scheduled on any other device. This can indeed be useful to guide StarPU into
  311. some work distribution, while still letting some degree of dynamism. For
  312. instance, to force execution of a task on CUDA0:
  313. @cartouche
  314. @smallexample
  315. task->execute_on_a_specific_worker = 1;
  316. task->worker = starpu_worker_get_by_type(STARPU_CUDA_WORKER, 0);
  317. @end smallexample
  318. @end cartouche
  319. @node Profiling
  320. @section Profiling
  321. A quick view of how many tasks each worker has executed can be obtained by setting
  322. @code{export STARPU_WORKER_STATS=1} This is a convenient way to check that
  323. execution did happen on accelerators without penalizing performance with
  324. the profiling overhead.
  325. A quick view of how much data transfers have been issued can be obtained by setting
  326. @code{export STARPU_BUS_STATS=1} .
  327. More detailed profiling information can be enabled by using @code{export STARPU_PROFILING=1} or by
  328. calling @code{starpu_profiling_status_set} from the source code.
  329. Statistics on the execution can then be obtained by using @code{export
  330. STARPU_BUS_STATS=1} and @code{export STARPU_WORKER_STATS=1} .
  331. More details on performance feedback are provided by the next chapter.
  332. @node CUDA-specific optimizations
  333. @section CUDA-specific optimizations
  334. Due to CUDA limitations, StarPU will have a hard time overlapping its own
  335. communications and the codelet computations if the application does not use a
  336. dedicated CUDA stream for its computations instead of the default stream,
  337. which synchronizes all operations of the GPU. StarPU provides one by the use
  338. of @code{starpu_cuda_get_local_stream()} which can be used by all CUDA codelet
  339. operations to avoid this issue. For instance:
  340. @cartouche
  341. @smallexample
  342. func <<<grid,block,0,starpu_cuda_get_local_stream()>>> (foo, bar);
  343. cudaStreamSynchronize(starpu_cuda_get_local_stream());
  344. @end smallexample
  345. @end cartouche
  346. StarPU already does appropriate calls for the CUBLAS library.
  347. Unfortunately, some CUDA libraries do not have stream variants of
  348. kernels. That will lower the potential for overlapping.
  349. @node Performance debugging
  350. @section Performance debugging
  351. To get an idea of what is happening, a lot of performance feedback is available,
  352. detailed in the next chapter. The various informations should be checked for.
  353. @itemize
  354. @item What does the Gantt diagram look like? (see @ref{Gantt diagram})
  355. @itemize
  356. @item If it's mostly green (tasks running in the initial context) or context specific
  357. color prevailing, then the machine is properly
  358. utilized, and perhaps the codelets are just slow. Check their performance, see
  359. @ref{Codelet performance}.
  360. @item If it's mostly purple (FetchingInput), tasks keep waiting for data
  361. transfers, do you perhaps have far more communication than computation? Did
  362. you properly use CUDA streams to make sure communication can be
  363. overlapped? Did you use data-locality aware schedulers to avoid transfers as
  364. much as possible?
  365. @item If it's mostly red (Blocked), tasks keep waiting for dependencies,
  366. do you have enough parallelism? It might be a good idea to check what the DAG
  367. looks like (see @ref{DAG}).
  368. @item If only some workers are completely red (Blocked), for some reason the
  369. scheduler didn't assign tasks to them. Perhaps the performance model is bogus,
  370. check it (see @ref{Codelet performance}). Do all your codelets have a
  371. performance model? When some of them don't, the schedulers switches to a
  372. greedy algorithm which thus performs badly.
  373. @end itemize
  374. @end itemize
  375. You can also use the Temanejo task debugger (see @ref{Task debugger}) to
  376. visualize the task graph more easily.
  377. @node Simulated performance
  378. @section Simulated performance
  379. StarPU can use Simgrid in order to simulate execution on an arbitrary
  380. platform.
  381. @subsection Calibration
  382. The idea is to first compile StarPU normally, and run the application,
  383. so as to automatically benchmark the bus and the codelets.
  384. @smallexample
  385. $ ./configure && make
  386. $ STARPU_SCHED=dmda ./examples/matvecmult/matvecmult
  387. [starpu][_starpu_load_history_based_model] Warning: model matvecmult
  388. is not calibrated, forcing calibration for this run. Use the
  389. STARPU_CALIBRATE environment variable to control this.
  390. $ ...
  391. $ STARPU_SCHED=dmda ./examples/matvecmult/matvecmult
  392. TEST PASSED
  393. @end smallexample
  394. Note that we force to use the dmda scheduler to generate performance
  395. models for the application. The application may need to be run several
  396. times before the model is calibrated.
  397. @subsection Simulation
  398. Then, recompile StarPU, passing @code{--enable-simgrid} to @code{./configure}, and re-run the
  399. application:
  400. @smallexample
  401. $ ./configure --enable-simgrid && make
  402. $ STARPU_SCHED=dmda ./examples/matvecmult/matvecmult
  403. TEST FAILED !!!
  404. @end smallexample
  405. It is normal that the test fails: since the computation are not actually done
  406. (that is the whole point of simgrid), the result is wrong, of course.
  407. If the performance model is not calibrated enough, the following error
  408. message will be displayed
  409. @smallexample
  410. $ STARPU_SCHED=dmda ./examples/matvecmult/matvecmult
  411. [starpu][_starpu_load_history_based_model] Warning: model matvecmult
  412. is not calibrated, forcing calibration for this run. Use the
  413. STARPU_CALIBRATE environment variable to control this.
  414. [starpu][_starpu_simgrid_execute_job][assert failure] Codelet
  415. matvecmult does not have a perfmodel, or is not calibrated enough
  416. @end smallexample
  417. The number of devices can be chosen as usual with @code{STARPU_NCPU},
  418. @code{STARPU_NCUDA}, and @code{STARPU_NOPENCL}. For now, only the number of
  419. cpus can be arbitrarily chosen. The number of CUDA and OpenCL devices have to be
  420. lower than the real number on the current machine.
  421. The amount of simulated GPU memory is for now unbound by default, but
  422. it can be chosen by hand through the @code{STARPU_LIMIT_CUDA_MEM},
  423. @code{STARPU_LIMIT_CUDA_devid_MEM}, @code{STARPU_LIMIT_OPENCL_MEM}, and
  424. @code{STARPU_LIMIT_OPENCL_devid_MEM} environment variables.
  425. The Simgrid default stack size is small; to increase it use the
  426. parameter @code{--cfg=contexts/stack_size}, for example:
  427. @smallexample
  428. $ ./example --cfg=contexts/stack_size:8192
  429. TEST FAILED !!!
  430. @end smallexample
  431. Note: of course, if the application uses @code{gettimeofday} to make its
  432. performance measurements, the real time will be used, which will be bogus. To
  433. get the simulated time, it has to use @code{starpu_timing_now} which returns the
  434. virtual timestamp in ms.
  435. @subsection Simulation on another machine
  436. The simgrid support even permits to perform simulations on another machine, your
  437. desktop, typically. To achieve this, one still needs to perform the Calibration
  438. step on the actual machine to be simulated, then copy them to your desktop
  439. machine (the @code{$STARPU_HOME/.starpu} directory). One can then perform the
  440. Simulation step on the desktop machine, by setting the @code{STARPU_HOSTNAME}
  441. environment variable to the name of the actual machine, to make StarPU use the
  442. performance models of the simulated machine even on the desktop machine.
  443. If the desktop machine does not have CUDA or OpenCL, StarPU is still able to
  444. use simgrid to simulate execution with CUDA/OpenCL devices, but the application
  445. source code will probably disable the CUDA and OpenCL codelets in that
  446. case. Since during simgrid execution, the functions of the codelet are actually
  447. not called, one can use dummy functions such as the following to still permit
  448. CUDA or OpenCL execution:
  449. @smallexample
  450. static struct starpu_codelet cl11 =
  451. @{
  452. .cpu_funcs = @{chol_cpu_codelet_update_u11, NULL@},
  453. .cpu_funcs_name = @{"chol_cpu_codelet_update_u11", NULL@},
  454. #ifdef STARPU_USE_CUDA
  455. .cuda_funcs = @{chol_cublas_codelet_update_u11, NULL@},
  456. #elif defined(STARPU_SIMGRID)
  457. .cuda_funcs = @{(void*)1, NULL@},
  458. #endif
  459. .nbuffers = 1,
  460. .modes = @{STARPU_RW@},
  461. .model = &chol_model_11
  462. @};
  463. @end smallexample