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2020WP/HPC-02_Daley_Tiling – NEMO

Version 10 (modified by hadcv, 21 months ago) (diff)


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  1. Summary
  2. Preview
  3. Tests
  4. Review


Action Implement 2D tiling (with the LFRA version of NEMO)
PI(S) Daley Calvert, Andrew Coward
Digest Implement 2D tiling to reduce traffic between main memory and L3 cache
Dependencies DO loop macros (2020WP/KERNEL-02_Coward_DoLoopMacros_part1), extended haloes (Italo Epicoco, Seb Masson and Francesca Mele), extension of XIOS to accept 2D tiles of data (Yann Meurdesoif & Seb Masson)
Branch source:/NEMO/branches/{YEAR}/dev_r{REV}_{ACTION_NAME}
Previewer(s) Gurvan Madec
Reviewer(s) Gurvan Madec
Ticket #2365


Implement loop tiling over horizontal dimensions (i and j).


As of 24/09/20, most of the code called by the "active tracers" part of the step subroutine (between trc_stp and tra_atf) has been tiled. Solutions and workarounds for the issues encountered to date are described in this document. A progress summary can be found here.

The tiling implementation has been tested using GYRE in benchmark mode with mono-processor and MPI configurations. The tests comprise 10 day simulations using different tile decompositions (including no tiling) and different science options particular to the tiled modules. A test passes if the tiling does not change results at the bit level (run.stat) or in the diagnostics.

Summary of method

The full processor domain (dimensions jpi x jpj) is split into one or more tiles/subdomains. This is implemented by:

1. Modifying the DO loop macros in do_loop_substitute.h90 to use the tile bounds

The tile domain is defined by a new set of domain indices (ntsi, ntei, ntsj, ntej), which represent the internal part of the domain:

- #define DO_2D(B, T, L, R) DO jj = Njs0-(B), Nje0+(T)   ;   DO ji = Nis0-(L), Nie0+(R)
+ #define DO_2D(B, T, L, R) DO jj = ntsj-(B), ntej+(T)   ;   DO ji = ntsi-(L), ntei+(R)

A new subroutine dom_tile (in domain.F90) sets the values of these indices.

During initialisation, this subroutine calculates and stores the indices in global arrays (ntsi_a, ntei_a, ntsj_a, ntej_a) with lengths equal to the number of tiles (nijtile) plus one. The zero index is used to store the indices for the full domain:

ntsi_a(0) = Nis0
ntsj_a(0) = Njs0
ntei_a(0) = Nie0
ntej_a(0) = Nje0

dom_tile is called whenever the active tile needs to be set or if tiling needs to be disabled:

CALL dom_tile( ntsi, ntsj, ntei, ntej, ktile=3 ) ! Work on tile 3
CALL dom_tile( ntsi, ntsj, ntei, ntej, ktile=0 ) ! Work on the full domain

2. Declaring SUBROUTINE-level arrays using the tile bounds

A new set of substitution macros in do_loop_substitute.h90:

#define ST_1Di(H) ntsi-H:ntei+H
#define ST_1Dj(H) ntsj-H:ntej+H
#define ST_2D(H) ST_1Di(H),ST_1Dj(H)

replaces references to the full domain in explicit shape and allocatable array declarations:

- ALLOCATE(jpi,jpj      ) DIMENSION(jpi,jpj      )
+ ALLOCATE(ST_2D(nn_hls)) DIMENSION(ST_2D(nn_hls))

These arrays then have the same dimensions as the tile if tiling is used, otherwise they will have the same dimensions as the full domain as before. Furthermore, the tile-sized arrays are declared with lower and upper bounds corresponding to the position of the tile in the full domain. Horizontal indices, for example in DO loops, will therefore apply to both tile- and full-sized arrays:

! ntsi = 3, ntsj = 7, ntei = 5, ntej = 9
REAL(wp), DIMENSION(ntsi:ntei,ntsj:ntej) :: z2d
REAL(wp), DIMENSION(jpi,jpj) :: a2d

  z2d(ji,jj) = a2d(ji,jj)

This substitution is made for local working arrays where possible to minimise memory consumption when using tiling. No further changes are generally required, except in specific cases described in this document and other common cases described in steps 5 & 6 below.

3. Looping over tiles at the timestepping level

A loop over tiles has been added to stp. The domain indices for the current tile (ntile /= 0) are set at the start of each iteration. After exiting the loop (and before, during initialisation) the tiling is suppressed (ntile == 0):

! Loop over tile domains
DO jtile = 1, nijtile
   IF( ln_tile ) CALL dom_tile( ntsi, ntsj, ntei, ntej, ktile=jtile )

   CALL tra_ldf( kstp, Nbb, Nnn, ts, Nrhs )  ! lateral mixing

IF( ln_tile ) CALL dom_tile( ntsi, ntsj, ntei, ntej, ktile=0 )        ! Revert to full domain

DO loops within the tiling loop therefore work on the current tile, while those outside the tiling loop work on the full domain.

4. A new namelist (namtile)

   &namtile        !   parameters of the tiling
      ln_tile = .false.     !  Use tiling (T) or not (F)
      nn_ltile_i = 10       !  Length of tiles in i
      nn_ltile_j = 10       !  Length of tiles in j

The number of tiles is calculated from the tile lengths, nn_ltile_i and nn_ltile_j, with respect to the full domain.

5. Replacing : subscripts with a DO loop macro where appropriate

This is only necessary when step 2 would introduce conformance issues:

- REAL(wp), DIMENSION(jpi,jpj,jpk)   :: a3d
- REAL(wp), DIMENSION(jpi,jpj)       :: z2d
- z2d(:,:) = a3d(:,:,1).
+ REAL(wp), DIMENSION(jpi,jpj,jpk)   :: a3d
+ REAL(wp), DIMENSION(ST_2D(nn_hls)) :: z2d
+ DO_2D(1,1,1,1)
+    z2d(ji,jj) = a3d(ji,jj,1)
+ END_2D

6. Suppressing code that should not be called more than once per timestep

Examples include ocean.output write statements and initialisation steps outside of an "_ini" routine.


New subroutines

  • OCE/DOM/domain/dom_tile- Calculate/set tiling variables (domain indices, number of tiles)

Modified modules

  • cfgs/SHARED/namelist_ref- Add namtile namelist
  • OCE/DOM/dom_oce- Declare tiling namelist and other tiling variables
  • OCE/DOM/domain- Read namtile namelist (dom_nam), calculate tiling variables and do control print (dom_tile)
  • OCE/DOM/domutl- is_tile functions
  • OCE/do_loop_substitute- Modify DO loop macro to use domain indices, add CPP macros
  • OCE/par_oce- Declare tiling variables
  • OCE/step- Add tiling loop
  • OCE/step_oce- Add USE statement for dom_tile in step
  • Various others..

New variables (excluding local)

  • Global variables
    • ntsi, ntsj- start index of tile
    • ntei, ntej- end index of tile
    • ntsi_a, ntsj_a- start indices of each tile
    • ntei_a, ntej_a- end indices of each tile
    • ntile- current tile number
    • nijtile- number of tiles
  • Namelist (namtile)
    • ln_tile- logical control on use of tiling
    • nn_ltile_i, nn_ltile_j- tile length
  • Pre-processor macros
    • ST_*D- substitutions for ALLOCATE or DIMENSION arguments
    • ST_*DT- substitutions for ALLOCATE or DIMENSION arguments when the shape of the array is unknown
  • Functions
    • is_tile- Returns 0 if the array has the dimensions of the full domain, else 1

Documentation updates

Error: Failed to load processor box
No macro or processor named 'box' found



Error: Failed to load processor box
No macro or processor named 'box' found



Error: Failed to load processor box
No macro or processor named 'box' found



Error: Failed to load processor box
No macro or processor named 'box' found


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