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Loop Vectorization

In which cases can loop be vectorized?
DO I = 1, N-1
  A(I) = A(I+1)*B(I)
ENDDO
|
V
A(1:128) = A(2:129)*B(1:128)
A(129:256) = A(130:257)*B(129:256)
....
Vectorization preserves semantics.
Author: Wolfgang Schreiner
Last modification: November 15, 1996