CSC/ECE 506 Spring 2010/ch 3 yl
Supplement to Chapter 3: Support for parallel-programming models. Discuss how DOACROSS, DOPIPE, DOALL, etc. are implemented in packages such as Posix threads, Intel Thread Building Blocks, OpenMP 2.0 and 3.0.
Parallel-programming models
Loop-independent vs. loop-carried dependences
Before performing the three kinds of parallelism analysis, we need to discuss about loop-dependence analysis first.
Statement dependences
To discuss code analysis, let's define the framework as follows. Let S denote a statement in the source code. Let [] denote loop iteration space. Let S1 -> S2 denote statement S1 executes before S2. Then, we further define three statement dependences:
- S1 ->T S2 denotes true dependence: S1 -> S2, and S1 writes to a location that is read by S2. S1 is the producer of data that is read by the consumer (S2).
Loop-independent
Loop-carried dependences
DOALL
for i:=2:N-1 do A(i):=[A(i-1) + A(i) + A(i+1)]/3; next i; forall i:=2:N-1 do A(i):=[A(i-1) + A(i) + A(i+1)]/3;
for (i=2; i<=n; i+=2) s: a[i] = a[i-2]; for (i=3; i<=n; i+=2) s: a[i] = a[i-2];
DOACROSS
for (i=1; i<=N; i++) {
S: a[i] = a[i-1] + b[i] * c[i];}
for (i=1; i<=N; i++) {
S1: temp[i] = b[i] * c[i];}
for (i=1; i<=N; i++) {
S2: a[i] = a[i-1] + temp[i];}
post(0);
for (i=1; i<=N; i++) {
S1: temp[i] = b[i] * c[i];}
wait(i-1);
S2: a[i] = a[i-1] + temp[i];
post(i);}
