JugglePAC: A Pipelined Accumulation Circuit

Summing a set of numbers, namely, "Accumulation," is a subtask within many computational tasks. If the numbers to sum arrive non-stop in back-to-back clock cycles at high clock frequencies, summing them without allowing them to pile up can be quite a challenge, that is, when the latency of addition (i.e., summing two numbers) is longer than one clock cycle, which is always the case for floating-point numbers. This could also be the case for integer summations with high clock frequencies. In the case of floating-point numbers, this is handled by pipelining the adder, but that does not solve all problems. The challenges include optimization of speed, area, and latency. As well as the adaptability of the design to different application requirements, such as the ability to handle variable-size subsequent data sets with no time gap in between and with results produced in the input-order. All these factors make designing an efficient floating-point accumulator a non-trivial problem. Integer accumulation is a relatively simpler problem, where high frequencies can be achieved by using carry-save tree adders. This can then be further improved by efficient resource-sharing. In this paper, we present two fast and area-efficient accumulation circuits, JugglePAC and INTAC. JugglePAC is tailored for floating-point reduction operations (such as accumulation) and offers significant advantages with respect to the literature in terms of speed, area, and adaptability to various application requirements. INTAC is designed for fast integer accumulation. Using carry-save adders and resource-sharing, it can achieve very high clock frequencies while maintaining a low area complexity.