Stellarium: Finally at Version 1.0! And Beyond

Affine loop transformations have often been used for program optimization. Usually their focus lies on single loop nests. A few recent approaches also handle global programs with multiple loop nests but they are not really scalable towards realistic applications with dozens of nests. To reduce complexity, we split affine transformations into a linear transformation step and a translation step. ...

Affine loop transformations have often been used for program optimization. Usually their focus lies on single loop nests. A few recent approaches also handle global programs with multiple loop nests but they are not really scalable towards realistic applications with dozens of nests. To reduce complexity, we split affine transformations into a linear transformation step and a translation step. ...

This paper describes a sound technique that combines the precision of theorem proving with the loop-invariant inference of abstract interpretation. The loop-invariant computations are invoked on demand when the need for a stronger loop invariant arises, which allows a gradual increase in the level of precision used by the abstract interpreter. The technique generates loop invariants that are sp...