MEMORY MAPPING METHOD AND APPARATUS TO FOLD SPARSELY POPULATED STRUCTURES INTO DENSELY POPULATED MEMORY COLUMNS OR ROWS BY TRANSPOSING X AND Y ADDRESS PORTIONS AND PROGRAMMABLE GATE ARRAY APPLICATIONS THEREOF

A field programmable gate array has a plurality of programmable resources addressable per respective x and y dimensions of an x,y two dimensional array. A memory device provides a plurality of memory units that store configuration data for configuring associated programmable resources of the field programmable gate array. A controller addresses the memory device with an N-bit address for retrieving given configuration data. An address decoder and sequencer divides the N-bit address into first, second, and third portions and employs the first and third portions interchangeably, in accordance with the second portion, for addressing respective x and y dimensions of the plurality of programmable resources for selecting an associated programmable resource to be configured in accordance with the retrieved configuration data.