Sweep3D Validations - Conclusions and Future Work

Chapter 8 Conclusions and Future Work

B.2 Sweep3D Validations

Table B.6:Sweep3D Model Validation on Jaguar (Cray XT4) -10003_{total problem size,}

Htile= 2,mmi= 6

NPE n m Nx

n Ny

m Wg,nf Wg,f Pred Exec Error Compute Comm

(Sec) (Sec) (Sec) (Sec) (%) (Sec) (Sec)

1K 32 32 32 32 3.16E−7 3.69E−7 36.01 38.56 -6.62 34.99 1.03 2K 64 32 16 32 3.71E−7 ₄_.₂₆_E−7 _21.78 _24.98 _-12.81 _20.78 _1.00

4K 64 64 16 16 3.71E−7 4.26E−7 11.78 13.36 -11.83 10.79 0.99

8K 128 64 8 16 4.14E−7 ₅_.₀₀_E−7 _7.34 _8.43 _-12.87 _6.42 _0.92

Table B.7:Sweep3D Model Validation on Jaguar (Cray XT4) -20×106total problem size, Htile= 2,mmi= 6

NPE n m Nx

n Ny

m Wg,nf Wg,f Pred Exec Error Compute Comm

(Sec) (Sec) (Sec) (Sec) (%) (Sec) (Sec)

1K 32 32 9 9 3.58E−7 ₃_.₈₉_E−7 _1.23 _1.38 _-10.68 _0.99 _0.24

2K 64 32 5 9 4.33E−7 4.78E−7 0.97 1.11 -13.05 0.72 0.25

4K 64 64 5 5 4.40E−7 ₅_.₀₀_E−7 _0.73 _0.94 _-22.41 _0.47 _0.26

8K 128 64 3 5 6.00E−7 6.33E−7 0.68 0.90 -23.85 0.41 0.27

Table B.8:Sweep3D Model Validation on Jaguar (Cray XT4) -5×5×400per processor problem size,Htile = 5,mmi= 6

NPE n m Nx

n Ny

m Wg,nf Wg,f Pred Exec Error Compute Comm

(Sec) (Sec) (Sec) (Sec) (%) (Sec) (Sec)

4 2 2 5 5 4.64E−7 5.19E−7 0.62 0.59 4.81 0.47 0.15 8 4 2 5 5 4.64E−7 ₅_.₁₉_E−7 _0.62 _0.62 _0.06 _0.48 _0.15 16 4 4 5 5 4.64E−7 5.19E−7 0.63 0.67 -6.1 0.48 0.15 32 8 4 5 5 4.64E−7 ₅_.₁₉_E−7 _0.64 _0.67 _-4.79 _0.49 _0.15 64 8 8 5 5 4.64E−7 ₅_.₁₉_E−7 _0.65 _0.7 _-6.16 _0.5 _0.16 128 16 8 5 5 4.64E−7 ₅_.₁₉_E−7 _0.67 _0.71 _-6.47 _0.51 _0.16 256 16 16 5 5 4.64E−7 ₅_.₁₉_E−7 _0.7 _0.77 _-9.17 _0.53 _0.16 1K 32 32 5 5 4.64E−7 ₅_.₁₉_E−7 _0.78 _0.84 _-7.35 _0.6 _0.18 2K 64 32 5 5 4.64E−7 ₅_.₁₉_E−7 _0.84 _0.95 _-11.49 _0.65 _0.19 4K 64 64 5 5 4.64E−7 5.19E−7 0.96 1.07 -10.95 0.74 0.21

Table B.9:Sweep3D Model Validation on Jaguar (Cray XT4) -14×14×255per processor problem size,Htile= 2.5,mmi= 6

NPE n m Nx

n Ny

m Wg,nf Wg,f Pred Exec Error Compute Comm

(Sec) (Sec) (Sec) (Sec) (%) (Sec) (Sec)

4 2 2 14 14 3.61E−7 ₃_.₆₉_E−7 _1.99 _1.97 _1.17 _1.8 _0.19

16 4 4 14 14 3.61E−7 ₃_.₆₉_E−7 _2.02 _2.07 _-2.54 _1.83 _0.2

64 8 8 14 14 3.61E−7 ₃_.₆₉_E−7 _2.08 _2.19 _-5.31 _1.88 _0.2

256 16 16 14 14 3.61E−7 ₃_.₆₉_E−7 _2.19 _2.31 _-5.27 _1.98 _0.21

1K 32 32 14 14 3.61E−7 ₃_.₆₉_E−7 _2.41 _2.68 _-10.22 _2.19 _0.22

Table B.10:Sweep3D Model Validation on Jaguar (Cray XT4) -20×20×1000per processor problem size,Htile = 5,mmi= 6

NPE n m Nx

n Ny

m Wg,nf Wg,f Pred Exec Error Compute Comm

(Sec) (Sec) (Sec) (Sec) (%) (Sec) (Sec)

4 2 2 20 20 3.91E−7 ₄_.₃₅_E−7 _16.29 _16.55 _-1.58 _15.87 _0.43

16 4 4 20 20 3.91E−7 4.35E−7 16.41 16.75 -2.01 15.98 0.43 64 8 8 20 20 3.91E−7 ₄_.₃₅_E−7 _16.65 _16.96 _-1.85 _16.22 _0.43

256 16 16 20 20 3.91E−7 4.35E−7 17.13 17.87 -4.14 16.69 0.44 1K 32 32 20 20 3.91E−7 ₄_.₃₅_E−7 _18.09 _19.52 _-7.33 _17.63 _0.46

Table B.11:Sweep3D Model Validation on Jaguar (Cray XT4) -45×45×1000per processor problem size,Htile = 5,mmi= 6

NPE n m Nx

n Ny

m Wg,nf Wg,f Pred Exec Error Compute Comm

(Sec) (Sec) (Sec) (Sec) (%) (Sec) (Sec)

32 8 4 45 45 3.32E−7 3.63E−7 68.77 69.28 -0.73 68.25 0.52 256 16 16 45 45 3.32E−7 ₃_.₆₃_E−7 _71.47 _74.23 _-3.72 _70.93 _0.54

512 32 16 45 45 3.32E−7 3.63E−7 72.82 75.08 -3.01 72.27 0.54 1K 32 32 45 45 3.32E−7 ₃_.₆₃_E−7 _75.51 _78.33 _-3.6 _74.96 _0.55

C

cflow

work

_from

sweep.x

Listing C.1:sweep.x (∗ ∗ CHIP3S ∗ A p p l i c a t i o n C h a r a c t e r i s a t i o n Tool ∗ Source : sweep . c ∗ RUV Type : c l c ∗) . . . . . . . .

proc cflow work { (∗ Defined a t sweep . c : 6 9 7 ∗) [ 6 9 7 ] compute ;

[ 7 4 1 ] c a s e () { do dsa :

[ 7 4 3 ] compute ; [ 7 4 5 ] loop (, mmi) {

[ 7 4 5 ] compute ; [ 7 4 9 ] loop (, nk ) {

[ 7 4 9 ] compute ; [ 7 5 1 ] compute ; [ 7 5 1 ] c a l l cflow s i g n ;

[ 7 5 1 ] compute ; [ 7 5 3 ] loop (, i t ) {

[ 7 5 3 ] compute ;

}

[ 7 4 9 ] compute ; }

[ 7 4 5 ] compute ; }

}

[ 7 6 5 ] compute ; [ 7 6 5 ] loop (, mmi) {

[ 7 6 5 ] compute ; }

[ 7 6 8 ] compute ;

[ 7 6 8 ] loop (, j t +nk−1+mmi−1) {

[ 7 6 8 ] compute ; [ 7 7 2 ] loop (, mmi−1) {

[ 7 7 2 ] compute ; }

[ 7 7 7 ] compute ; [ 7 7 7 ] c a l l cflow min ;

[ 7 7 7 ] c a l l cflow min ; [ 7 7 7 ] c a l l cflow min ; [ 7 7 7 ] c a l l cflow max ;

[ 7 7 7 ] compute ; [ 8 0 0 ] loop (, ndiag ) {

[ 8 0 4 ] loop (, mmi−1) {

[ 8 0 4 ] compute ; }

[ 8 1 1 ] compute ; [ 8 1 3 ] c a l l cflow min ;

[ 8 1 3 ] compute ; [ 8 1 3 ] c a l l cflow s i g n ;

[ 8 1 3 ] compute ; [ 8 1 4 ] c a l l cflow max ;

[ 8 1 4 ] compute ; [ 8 1 4 ] c a l l cflow s i g n ;

[ 8 1 4 ] compute ;

[ 8 4 0 ] loop (, i t ) {

[ 8 4 0 ] compute ; }

[ 8 4 2 ] compute ; [ 8 4 2 ] loop (, nm−1) { [ 8 4 2 ] compute ; [ 8 4 4 ] loop (, i t ) {

[ 8 4 4 ] compute ;

}

[ 8 4 2 ] compute ; }

[ 8 4 8 ] c a s e () { (−i f i x u p s )/(−e p s i ) :

[ 8 5 5 ] compute ; [ 8 5 5 ] loop (, i t ) {

[ 8 5 5 ] compute ; }

1−((−i f i x u p s )/(−e p s i ) ) : [ 8 8 1 ] compute ; [ 8 8 1 ] loop (, i t ) {

[ 8 8 1 ] compute ; [ 9 0 2 ] c a s e () {

0 . 5 :

[ 9 0 4 ] compute ;

[ 9 1 0 ] c a s e () { 0 . 5 :

[ 9 1 0 ] compute <i s c l c , ARD1, MFDL, ARD3, AFDL

, TFDL>; }

[ 9 1 2 ] compute ; [ 9 1 2 ] c a s e () {

0 . 5 :

[ 9 1 2 ] compute <i s c l c , ARD1, MFDL, ARD3, AFDL

, TFDL>; }

[ 9 1 3 ] compute ; }

[ 9 1 6 ] compute ; [ 9 1 6 ] c a s e () {

0 . 5 :

[ 9 1 8 ] compute ;

0 . 5 :

[ 9 2 4 ] compute <i s c l c , ARD1, MFDL, ARD3, AFDL

, TFDL>; }

[ 9 2 6 ] compute ; [ 9 2 6 ] c a s e () {

0 . 5 :

[ 9 2 6 ] compute ; }

[ 9 2 7 ] compute ; }

[ 9 3 1 ] compute ; [ 9 3 1 ] c a s e () {

0 . 5 :

[ 9 3 3 ] compute ;

[ 9 3 9 ] c a s e () { 0 . 5 :

[ 9 3 9 ] compute ; }

[ 9 4 1 ] compute ; [ 9 4 1 ] c a s e () {

0 . 5 :

[ 9 4 1 ] compute <i s c l c , ARD1, MFDL, ARD3, AFDL

, TFDL>; }

[ 9 4 2 ] compute ; }

[ 9 4 5 ] compute ;

} }

[ 9 5 6 ] compute ; [ 9 5 6 ] loop (, i t ) {

[ 9 5 6 ] compute ;

}

[ 9 5 9 ] compute ; [ 9 5 9 ] loop (, nm−1) { [ 9 5 9 ] compute ; [ 9 6 1 ] loop (, i t ) {

[ 9 6 1 ] compute ;

}

[ 9 5 9 ] compute ; }

[ 9 6 7 ] c a s e () { do dsa :

[ 9 7 0 ] compute ; [ 9 7 0 ] loop (, i t ) {

[ 9 7 0 ] compute ;

} }

[ 9 8 1 ] compute ;

[ 9 8 7 ] compute ; }

}

} (∗ End o f work ∗) . . . .

D

Wavefront Model and Extensions

D.1 Model Parameters

Table4.1Plug-and-Play Reusable Model Application Parameters

Parameter LU Sweep3D Chimaera

Nx, Ny, Nz Inputsize Inputsize Inputsize

Wg measured measured measured

Wg,pre measured 0 0

Htile(cells) 1 mk×mmi/mmo 1

nsweeps 2 8 8

nf ull 2 2 4

ndiag 0 2 2

Tnonwavef ront Tstencil+δh 2Tallreduce+δh Tallreduce+δh

M essageSizeEW 40Ny/m 8Htile×#angles 8Htile×#angles

(Bytes) ×Ny/m ×Ny/m

M essageSizeN S 40Nx/m 8Htile×#angles 8Htile×#angles

(Bytes) ×Nx/m ×Nx/m

In document Predictive analysis and optimisation of pipelined wavefront applications using reusable analytic models (Page 169-174)