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PERFORMANCE EVALUATION OF PRELOADING MODEL IN DYNAMICALLY

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					       PERFORMANCE EVALUATION OF A PRELOADING MODEL IN DYNAMICALLY
                       RECONFIGURABLE PROCESSORS

                                     Kyprianos Papademetriou ∗                   Apostolos Dollas †

                                     Department of Electronic and Computer Engineering
                                               Technical University of Crete
                                             GR73100 Chania, Crete, Greece
                                           email: {kpapadim, dollas}@mhl.tuc.gr


                           ABSTRACT                                           2. CONFIGURATION IN MODERN DEVICES
Dynamic reconfiguration allows for the reuse of the same
hardware by different tasks of an application at different                 Dynamic reconfiguration is applied on reconfigurable pro-
stages of its execution. However, reconfiguring the hard-                   cessors combining a fixed processing unit (FPU) with a re-
ware at run-time incurs a configuration delay causing per-                  configurable processing unit (RPU) on a single chip. In a
formance degradation of the application. This paper eval-                  realistic scenario FPU initiates RPU configuration and con-
uates a preloading model that hides the configuration over-                 tinues undisturbed its execution, i.e., FPU execution is not
head. An existing preloading model is augmented according                  stalled waiting for the configuration data to be loaded. The
to the physical constraints of the system. A reduction of 6%               instruction inserted into FPU’s code resembles any other in-
up to 86% in execution time has been obtained with the new                 struction, consuming a single slot in the pipeline.
model.                                                                         The configuration memory of Xilinx Virtex-II is arranged
                                                                           in 1-bit width vertical frames. They are the smallest address-
                                                                           able segments of the device configuration memory space and
                     1. INTRODUCTION                                       they configure a narrow vertical slice of many physical re-
                                                                           sources. A pad frame is added at the end of the configuration
In our first work [1] it was shown that it is well worth in-
                                                                           data which flushes out the reconfiguration pipeline [4].
vestigating whether a preloading model leverages the per-
                                                                               Although Virtex-II devices have heterogeneous physical
formance of an application designed on a partially reconfig-
                                                                           resources this work assumes a homogeneous device model
urable hardware. The contributions of the present work vs.
                                                                           wherein application tasks are placed on CLB columns only.
[1] include a new experimental framework that better mod-
                                                                           Furthermore, for sake of simplicity we consider that a task’s
els a reconfigurable processor, examination of the impact of
                                                                           circuit is placed in multiples of one CLB column and not in
the proposed model to the overall execution length, and dis-
                                                                           multiples of one frame. As a consequence, reconfiguration
cussion of the problems incurred by the proposed model.
                                                                           is performed in CLB column level only.
    A variety of preloading models exist that attempt to re-
duce reconfiguration overhead [2]. Most of them do not take
into account resource constraints. Banerjee et al [3] con-                      3. PROBLEM DESCRIPTION - PROPOSED
sider reconfiguration overhead and configuration prefetch-                                    APPROACH
ing, while selecting a suitable task granularity. Then, simul-
taneous scheduling and columnar placement are performed,                   This section describes the problem that this work deals with
where the scheduling integrates prefetch to reduce recon-                  as well as the proposed model by presenting the modifica-
figuration overhead. Our work augments the results in [2]                   tions that have been made to the original prefetching model
which describes the static prefetching algorithm. It is also               [2]. Figure 1 shows an example application that comprises
related to [3] that schedules tasks according to the physical              of five tasks running on a reconfigurable processor. Figure 2
resource constraints. The difference is that present work ex-              represents the reconfigurable processor with the parts occu-
amines specific places in the code, i.e., branches, to select               pied by the FPU and the RPU along with the partitioning of
the task to be transformed according to the resource con-                  tasks. Tasks t0, t1 and t3 run on the FPU and t2, t4 run on
straints.                                                                  the RPU. In task t0, among other instructions, a decision is
   ∗ Funded with a Ph.D fellowship by the Greek Ministry of National Ed-   made regarding which one of tasks t1, t3 should be followed.
ucation and Religious Affairs under the program Heraklitus, EPEAEK II      Then, the corresponding RPUOP (RPU operation) is called.
   † Also at ITRI, Wright State University, Ohio                           Given that the available hardware allows for both RPUOPs
                               …                                                               (b)               (c)
                           Preload t4
                               ...                                                              t0,               t0,
                                                                                                      t4                t2

                                                                   (a)
                                                                                                t1,
                                                                                                t3           X    t1,
                                                                                                                  t3
                                t0

                                                                    t0,
                                     Preload t2                     t1,
                                                                               t4     t2
                                                                    t3
                                                                                               (d)               (e)
                           t3        t1
                                                                     FPU +          RPU         t0,               t0,
                                                                                                      t2a   t4          t2a   t2b
                                                                   interface                    t1,               t1,
                                                                                                t3                t3
                           t4        t2                                                    +
                  mlbe RPUOP         llbe RPUOP


Fig. 1. Insertion of preload instructions according to the         Fig. 2. (a) shows that not all tasks fit into the platform. (b)
original model.                                                    and (c) correspond to the original model, (d) and (e) corre-
                                                                   spond to the augmented model.
to be simultaneously placed onto the RPU, no reconfigura-
tion delay is incurred during transition of execution from t0
                                                                   to the physical constraints. Then one portion is placed on
to the selected RPUOP.
                                                                   the RPU and in case the llbe RPUOP is called, the remain-
    On the contrary, if a resource-constrained RPU is em-          ing portion is loaded by displacing the mlbe RPUOP that
ployed that can at most hold one of the t2, t4 a delay might       was not finally executed. The cost of disconnecting the dis-
be incurred. In Figure 2(a) we assume that t4 corresponds          placed RPUOP when loading the remaining portion of the
to the most likely to be executed (mlbe) RPUOP, whereas t2         split RPUOP is not examined. In addition, as illustrated in
corresponds to the least likely to be executed (llbe) RPUOP.       Figure 2(d) the proposed model fully utilizes the available
One more CLB column would be required to place both                area. An issue arisen at this point is the limitation to the
RPUOPs. In Figure 2(b), as t4 has been preloaded onto the          placement options of the RPUOPs compared to the original
RPU according to the prefetching algorithm [2], in case the        model. To effectively exploit the augmented model, the first
outcome of branch in t0 requires t2 after the intervening task     subtask should be placed on an appropriate location where
t1 the execution might be stalled. The second preload in-          the second subtask would be adjacently placed by replacing
struction of Figure 1, reconfigures the RPU with t2 which           the mlbe RPUOP as shown in Figure 2(e). The original mo-
illustrated in Figure 2(c). If the system supports concurrent      del does not deal with such restrictions, i.e., llbe RPUOP is
FPU execution and RPU reconfiguration, t1 execution will            loaded only when the mlbe RPUOP is not executed. The
hide part or even all of the reconfiguration time. The amount       trade-offs between the two models regarding this issue is an
of time that can be hidden depends on the execution length         interesting study but present work does not deal with this.
of t1 and the configuration latency of t2.
    The static prefetching algorithm of [2] considers that
since the total size of the reachable RPUOPs for a certain                             4. EXPERIMENTAL SETUP
node could exceed the capacity of the chip, only highly prob-
able prefetches under the size restriction of the chip are gen-    The experimental setup consists of an application scenario
erated. The rest of the reachable RPUOPs are ignored. In           and the attributes that represent the physical resources of a
our model given an area constraint, transformations to the         reconfigurable processor as well as the time and area re-
task graph are performed to employ a more aggressive preload       quired to carry out the tasks of the application. The ap-
that utilizes all the physical resources. This is illustrated in   plication is represented by a task graph where each node
Figure 2(d) and (e). If t4 is the mlbe RPUOP, it is selected       corresponds to a task. This graph can be extracted from a
for preloading. RPUOP t2 is then transformed; it is split into     functional specification in a high-level language like Ver-
two subtasks in that t2a fits on the remaining portion of the       ilog, VHDL, C etc. In order to generate different problem
hardware. Task t2a is preloaded before t0. Therefore, in Fig-      instances the TGFF tool [5] was used. It generates pseudo-
ure 1 if the outcome of the branch requires t2, only subtask       random task-graphs while users have parametric control over
t2b is required to be loaded after t0.                             a number of attributes for tasks, processors, and commu-
    In this work it is assumed that the RPUOPs selected for        nication resources. Correlations between attributes may be
split are divisible and recombinable. The idea is along with       parametrically controlled.
the placement of the mlbe RPUOP to automatically break                 In Figure 2, on the left part of the device an FPU is
down the llbe RPUOP into non-functional tasks according            placed, e.g., Microblaze, along with the interface with the
                                                    Prefetch t0_4
                                                                                Prefetch t0_2                    Table 1. Configuration attributes for XC2V500.
                                             Prefetch t0_4a
Prefetch t0_4              Prefetch t0_2                                                                    Data from Xilinx’s data-sheet:




                                                                    B
                                                                                         Prefetch t0_2a




                                                                                A
                                                                                                                                   Device    XC2V500




                                                                A
           B               A




                                                                                   B
                                                                                                               Number of CLB Col./chip       24
      A




                               B


                t0_0 (0)                                                t0_0 (0)
                                           Prefetch t0_4b                                 Prefetch t0_2b           Number of frames/chip     928
                                                        A
                                                                                                                          Conf. time/chip    4.85ms




                                                                                          B
                                                                                                             Number of frames/CLB col.       22
    t0_3 (3)                t0_1 (1)                        t0_3 (3)                   t0_1 (1)


                                                                                                               Simple computations give:
    t0_4 (4)                t0_2 (2)                        t0_4 (4)                   t0_2 (2)                         Conf. time/frame     4.85ms ÷ 928 = 5.22µs
                  (a)                                                     (b)
                                                                                                                     Conf. time/CLB col.     22 ∗ 5.22µs = 115µs
                                                                                                              Conf. time/CLB col. w. pad     115µs + 5.22µs = 120.22µs
Fig. 3. (a) and (b) have the preloads according to the orig-
inal and the augmented model respectively. Two different
scenarios regarding the insertion and sequence of preload
                                                                                                           average execution of 300±250µs. The RPU is implemented
instructions are denoted by the labels A and B at the thin
                                                                                                           with the remaining 18 CLBs columns. The average number
arrows.
                                                                                                           of CLB columns required by a task is chosen to 10 ± 8. The
                                                                                                           tasks on the RPU are assumed to be executed in an aver-
RPU, e.g., ICAP. The rest of the device implements the RPU.                                                age of 200 ± 180µs. The only correlated attributes used in
Figure 3 has the examined task graph as generated by TGFF.                                                 the experiments are the CLBs needed for each RPUOP and
Notice that regarding the task names a number on the left of                                               their execution time. Configuration time is also needed for
the low dash exists indicating the graph’s ID. This ID is used                                             the experiments. A similar to ICAP interface is considered
if more that one graphs are generated and as we examine one                                                with 8-bit of data running at 66 MHz. This is used for the
graph only we eliminate it, e.g., t0 2 will be referred as t2.                                             computations of Table 1. Configuration time is proportional
     The left graph of Figure 3 is carried out with the original                                           to the number of frames to be loaded. This is used to extract
model and the right graph is carried out with the augmented                                                the configuration time of the CLB columns to be loaded.
model. In Figure 3(a), when the total size of t2 and t4 is                                                     This setup considers column-based reconfiguration and
larger than the available hardware only the mlbe RPUOP                                                     compared to [1] which examines reconfiguration per CLB
is preloaded. For example, in scenario B it is the t4 that                                                 unit it is more realistic. Except of the configuration latency
is preloaded before t0. If the decision matches the preload                                                and overhead that were examined in the first work as well,
instruction no new preload is executed (the demanded con-                                                  present work examines more parameters such as how does
figuration data are already loaded or are being loaded to the                                               the utilization of remaining CLBs after preloading the mlbe
RPU). On the contrary, if t2 is the outcome of the branch, the                                             RPUOP affect the application execution length.
corresponding preload instruction located after t0 should be
executed, incurring a greater configuration overhead to the                                                  5. EXPERIMENTAL RESULTS AND DISCUSSION
process (the demanded configuration data are not contained
onto RPU when execution reaches t2). It is this case we ex-                                                In this section the experimental results showing the perfor-
amine. In Figure 3(b) in scenario B, task t4 is preloaded and                                              mance gained by the augmented model are discussed. Fig-
then a preload instruction of a portion of the task t2 is in-                                              ure 4 has the execution length of the overall process for
serted. The latter was split into two subtasks, t2a and t2b,                                               the two models for different values of remaining CLB col-
by statically transform the given task graph. The split was                                                umns after preloading the mlbe RPUOP. A set of 50 ex-
performed in that the total size of t4 and t2a equals to the                                               periments were conducted for the same task graph and the
available hardware. In case the branch’s outcome requires                                                  average for each CLB column was used to construct the
t2 the preload instruction for t2b is executed.                                                            chart graph. In some cases the RPUOPs were completely
     A testbench is constructed consisting of 50 systems ex-                                               preloaded, i.e., their total size was smaller than the avail-
ecuting the same task graph. Each task node is unique. This                                                able hardware. These cases are not included. The results
is denoted by the values in the parentheses of Figure 3. The                                               concern llbe RPUOP execution. It is observed that as the
platform contains 24 CLB columns of 32 CLBs each which                                                     volume of CLB columns that can be utilized for preloading
resembles the Virtex-II XC2V500 device. The FPU with the                                                   the llbe RPUOP increases the execution length of the aug-
interface occupies 6 CLB columns which is roughly realis-                                                  mented model decreases compared to the original model.
tic compared to the area required for Microblaze and ICAP.                                                     To evaluate the improvement in execution length, the
It is assumed that each task carried out by the FPU takes an                                               equation 100 × (ELorig − ELaugm ) ÷ ELaugm was used
                          2500
                                                                                                Table 2. Performance gain of the augmented algorithm.
                                                                                                Worst cases regarding CLAM time are shown. All times
                          2000
                                                                                                are in µs.
  Execution length (us)




                                                                                                      FPU task   CLOM    CLAM    CLB col   ROOM     ROAM
                          1500
                                                                                                        167      1890     1775      1       -1722   -1607
                          1000                                                                          335      1752     1522      2       -1417   -1187
                                                                                                        335      1616     1271      3       -1281    -936
                           500                                                                          125      1195      735      4       -1070    -610
                                                                                                        525      1285      710      5        -759    -184
                             0                                                                          227      815       125      6        -698    -8.4
                                 1     2        3       4        5        6        7        8           236      923       118      7        -686    118
                                     Available CLB columns after preloading the MLBE task               333      1116      196      8        -783    136



Fig. 4. Execution lengths for the original and augmented                                        umns after preloading the mlbe RPUOP, the designer can de-
model for different values of remaining CLB columns after                                       cide whether it is worthwhile trying to hide the llbe RPUOP’s
preloading the mlbe RPUOP. The llbe RPUOP is chosen for                                         configuration latency by applying an appropriate split oper-
execution.                                                                                      ation.

                                                                                                                    6. CONCLUSIONS
where, ELorig and ELaugm are the execution lengths for
the original and the augmented model respectively. For 1                                        The experimental results showed significant improvements
available CLB column the decrease was 6.16%, whereas for                                        in reconfiguration overhead over the original prefetching mo-
7 available CLB columns the biggest improvement was ob-                                         del. The main advantage of the proposed model is the in-
tained, equal to 86.55%.                                                                        crease in the utilization of the available hardware achieved
    Table 2 shows the reconfiguration overhead for the aug-                                      by splitting the least likely to be executed task. A problem
mented model in contrast to the original model. It consol-                                      arisen is the limitation to the placement options due to the
idates the worst cases with respect to the length of con-                                       restriction of the area where the task can be placed. This
figuration latency for the augmented model, i.e., it corre-                                      might cause degradation in task’s execution speed. More-
sponds to the cases in which for a specific number of re-                                        over, unless the less likely to be executed task is called, an
maining CLB columns after preloading the mlbe RPUOP,                                            overhead is paid for the configuration data of the first por-
the second portion of the llbe RPUOP to be loaded is the                                        tion of the less likely to be executed task. The trade-offs
largest. FPU task column has the execution time of the                                          between these limitations and keeping the system in an ac-
task (t1 or t3) before which the preload instruction is in-                                     ceptable performance level is a matter of further research.
serted. CLOM (Configuration Latency for the Original Mo-
del) refers to the original model and is the time needed to                                                             7. REFERENCES
load the whole llbe RPUOP. CLAM (Configuration Latency
for the Augmented Model) refers to the augmented model                                          [1] K. Papademetriou and A. Dollas, “A Task Graph Approach
and is the time needed to load the second portion of the                                            for Efficient Exploitation of Reconfiguration in Dynamically
                                                                                                    Reconfigurable Systems,” in Proc. of the IEEE Symposium
llbe RPUOP. CLB col is the number of remaining CLB col-
                                                                                                    on Field Programmable Custom Computing Machines, April
umns after preloading the mlbe RPUOP. Reconfiguration                                                2006.
overhead corresponds to the amount of time that can(if posi-
                                                                                                [2] Z. Li, “Configuration Management Techniques for Recon-
tive)/can not(if negative) be hidden by overlapping reconfig-
                                                                                                    figurable Computing,” Ph.D thesis, Northwestern University,
uration with processor execution. ROOM (Reconfiguration                                              June 2002.
Overhead for the Original Model) is the overhead caused
                                                                                                [3] S. Banerjee, E. Bozorgzadeh, and N. Dutt, “Physically-aware
by loading llbe RPUOP before FPU task (after the branch).
                                                                                                    HW-SW Partitioning for Reconfigurable Architectures with
ROAM (Reconfiguration Overhead for the Augmented Mo-                                                 Partial Dynamic Reconfiguration,” in Design Automation Con-
del) is the overhead caused by loading the second portion of                                        ference, June 2005, pp. 335–340.
llbe RPUOP before FPU task (after the branch).                                                  [4] B. Blodget, P. James-Roxby, E. Keller, S. McMillan, and
    The above results illustrate the relation between configu-                                       P. Sundararajan, “A Self-reconfiguring Platform,” in Proc. of
ration latency and reconfiguration overhead and whether re-                                          the International Conference on Field Programmable Logic
configuration can be hidden by the processor’s execution. In                                         and Applications, September 2003, pp. 565–574.
a system where the FPU task executes concurrently with the                                      [5] R. Dick, D. Rhodes, and W. Wolf, “TGFF: Task Graphs
RPU reconfiguration, depending on the FPU’s and RPU’s                                                For Free,” in Proc. of the International Workshop on Hard-
tasks execution time and the number of remaining CLB col-                                           ware/Software Codesign, April 1998, pp. 97–101.

				
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