A method of executing a sequence of instructions in an execution unit (E×U) node in an array of E×Units, the method comprising:
- receiving a first instruction and a destination instruction having a dependency on the first instruction, wherein the first instruction identifies the destination instruction in a sequence of instructions from a program and specifies that a result generated by execution of the first instruction by a first E×U node is to be forwarded to a destination E×U node that is to execute the destination instruction;
- executing the first instruction on the first E×Ur,c node to generate the result for delivery through an E×U network to the destination E×U node associated with the identified destination instruction, wherein according to a Row by Column (R×C) matrix, an R×C array of E×Urow(r),column(c) nodes are interconnected by the E×U network, the E×U network comprising (K+1) by (K+1) array of E×Ur,c nodes, a first stage (K+1)×(K+1) array of Rr,c nodes for a first direction of communication, a second stage (K+1)×(K+1) array of Sr,c nodes for a second direction of communication, and in each stage having wiring configured according to a 1 to K+1 adjacency of connections between nodes which includes wrapping around data paths at the edges of the (K+1)×(K+1) arrays, K is an odd integer, K>1, R≥(K+1), C≥(K+1), r∈{0,1, . . . , K}, and c∈{0,1, . . . , K}, and wherein connections exist between each E×Ur,c node and Rr,c nodes with the same row number in the first direction of communication, the first E×Ur,c node generates the result for a selectable first data path that connects to an Rr,c+1 node and for a selectable second data path that connects to an Rr,c−1 node for single step adjacency and for a selectable third data path that connects to an Rr,c+2 node for two step adjacency, and for a selectable fourth data path that connects to an Rr,c node in the same r,c position in the R×C matrix as the connecting E×Ur,c node, and wherein connections exist between each Rr,c node and Sr,c nodes with the same column number in the second direction of communication, wherein an Rr,c node, associated with a selected path in the first direction of communication, produces the result for a selectable first data path that connects to an Sr+1,c node and for a second data path that connects to an Sr−1,c node for single step adjacency and for a third data path that connects to an Sr+2,c node for two step adjacency, and for a fourth data path that connects to an Sr,c node in the same r,c position in the R×C matrix as the connecting Rr,c node, wherein an Sr,c node, associated with the selected data path in the second direction of communication, produces the result on a destination data path that connects to the destination E×U node to be received at the destination E×U node;
- and
- executing the destination instruction in the destination E×U node based on the received result to produce a destination result for use by the program.