The flip network in each array module of STARAN scrambles and unscrambles multidimensional access (MDA) memory data. The flip network can permute data on transfers from memory to PE's (processing elements), from PE's to memory, and from PE's to PE's. Among the allowable permutations are barrel shifts, barrel shifts on substrings, and FFT-butterflies. The network can be used for such data manipulations as shifting, mirroring (flipping end-for-end), irregular spreading, or compressing and replicating. These manipulators are useful for sorting, fast Fourier transforms, image warping, and solving partial differential equations on multi-mesh regions.