Abstract: Integrated circuit devices, methods, and circuitry for implementing and using an iterative multiplicative modular reduction circuit are provided. Such circuitry may include polynomial multiplication circuitry and modular reduction circuitry that may operate concurrently. The polynomial multiplication circuitry may multiply a first input value to a second input value to compute a product. The modular reduction circuitry may perform modular reduction on a first component of the product while the polynomial multiplication circuitry is still generating other components of the product.

Abstract: Integrated circuits, methods, and circuitry are provided for performing multiplication such as that used in Galois field counter mode (GCM) hash computations. An integrated circuit may include selection circuitry to provide one of several powers of a hash key. A Galois field multiplier may receive the one of the powers of the hash key and a hash sequence and generate one or more values. The Galois field multiplier may include multiple levels of pipeline stages. An adder may receive the one or more values and provide a summation of the one or more values in computing a GCM hash.

Abstract: Systems and methods of the present disclosure provide techniques for reducing power consumption of a large combinational circuit using register insertion. In particular, a large circuit may be analyzed to determine the amount of signal switching at various logical points (e.g., stages in the computation) of the circuit. A clock sequence with many pulses in the period of a clock that runs the large combinatorial circuit may be generated. To balance the amount of signal switching at various logical points in the circuit, registers may be inserted at certain points in the large circuit with the clock pulses of the clock sequence assigned to the registers that may not have a constant frequency or may be phase shifted versions of the main clock.

Abstract: The present disclosure describes techniques for incorporating pipelined DSP blocks or other types of embedded functions into a logic circuit with a slower clock rate without any clock crossing complexities, and at the same time managing the power consumption of the more complex design that results from it. The techniques include generating a faster clock or several faster clocks that may have a faster clock rate than the clock used by the logic circuit and that may be used as clock input to the embedded pipelined DSP blocks. In addition, the present disclosure describes techniques for generating, improving, and using the faster clock to sample the output of a logic circuit using pulses of generated faster clock, which may allow to increase the clock frequency of the circuit to an optimal level, while maintaining functional correctness.

Abstract: Techniques for designing and implementing networks-on-chip (NoCs) are provided. For example, a computer-implemented method for programming a network-on-chip (NoC) onto an integrated circuit includes determining a first portion of a plurality of registers to potentially be included in a NoC design, determining routing information regarding datapaths between registers of the first portion of the plurality of registers, and determining an expected performance associated with the first portion of the plurality of registers. The method also includes determining whether the expected performance is within a threshold range, including the first portion of the plurality of registers and the datapaths in the NoC design after determining that the expected performance is within the threshold range, and generating instructions configured to cause circuitry corresponding to the NoC design to be implemented on the integrated circuit.

Abstract: A computer-implemented method for programming an integrated circuit includes receiving a program design and determining one or more addition operations based on the program design. The method also includes performing geometric synthesis based on the one or more addition operations by determining a plurality of bits associated with the one or more addition operations and defining a plurality of counters that includes the plurality of bits. Furthermore, the method includes generating instructions configured to cause circuitry configured to perform the one or more addition operations to be implemented on the integrated circuit based on the plurality of counters. The circuitry includes first adder circuitry configured to add a portion of the plurality of bits and produce a carry-out value. The circuitry also includes second adder circuitry configured to determine a sum of a second portion of the plurality of bits and the carry-out value.

Abstract: The present disclosure relates generally to techniques for enhancing adders implemented on an integrated circuit. In particular, arithmetic performed by an adder implemented to receive operands having a first precision is restructured so that a set of sub-adders performs the arithmetic on a respective segment of the operands. More specifically, the adder is restructured, and a decoder determines a generate signal and a propagate signal for each of the sub-adders and routes the generate signal and the propagate signal to a prefix network. The prefix network determines respective carry bit(s), which carries into and/or select a sum at a subsequent sub-adder.

Abstract: The present disclosure relates generally to techniques for enhancing packing density of carry-chains implemented on an integrated circuit. In particular, a packed-carry chain may be implemented to redistribute and/or emulate the logic of a first number of arithmetic logic cells of a first and/or second carry-chain using a second number of arithmetic logic cells less than or equal to the first number. By fitting the first and second carry-chain into such a packed carry-chain, the area consumed to perform the arithmetic operations of the first and second carry-chain may be reduced. As a result, the integrated circuit may benefit from increased efficiencies, reduced latency, and reduced resource consumption (e.g., wiring, area, and power).

Abstract: Techniques for designing and implementing networks-on-chip (NoCs) are provided. For example, a computer-implemented method for programming a network-on-chip (NoC) onto an integrated circuit includes determining a first portion of a plurality of registers to potentially be included in a NoC design, determining routing information regarding datapaths between registers of the first portion of the plurality of registers, and determining an expected performance associated with the first portion of the plurality of registers. The method also includes determining whether the expected performance is within a threshold range, including the first portion of the plurality of registers and the datapaths in the NoC design after determining that the expected performance is within the threshold range, and generating instructions configured to cause circuitry corresponding to the NoC design to be implemented on the integrated circuit.

Abstract: Techniques for designing and implementing networks-on-chip (NoCs) are provided. For example, a computer-implemented method for programming a network-on-chip (NoC) onto an integrated circuit includes determining a first portion of a plurality of registers to potentially be included in a NoC design, determining routing information regarding datapaths between registers of the first portion of the plurality of registers, and determining an expected performance associated with the first portion of the plurality of registers. The method also includes determining whether the expected performance is within a threshold range, including the first portion of the plurality of registers and the datapaths in the NoC design after determining that the expected performance is within the threshold range, and generating instructions configured to cause circuitry corresponding to the NoC design to be implemented on the integrated circuit.

Abstract: A computer-implemented method for programming an integrated circuit includes receiving a program design and determining one or more addition operations based on the program design. The method also includes performing geometric synthesis based on the one or more addition operations by determining a plurality of bits associated with the one or more addition operations and defining a plurality of counters that includes the plurality of bits. Furthermore, the method includes generating instructions configured to cause circuitry configured to perform the one or more addition operations to be implemented on the integrated circuit based on the plurality of counters. The circuitry includes first adder circuitry configured to add a portion of the plurality of bits and produce a carry-out value. The circuitry also includes second adder circuitry configured to determine a sum of a second portion of the plurality of bits and the carry-out value.

Abstract: Techniques for designing and implementing networks-on-chip (NoCs) are provided. For example, a computer-implemented method for programming a network-on-chip (NoC) onto an integrated circuit includes determining a first portion of a plurality of registers to potentially be included in a NoC design, determining routing information regarding datapaths between registers of the first portion of the plurality of registers, and determining an expected performance associated with the first portion of the plurality of registers. The method also includes determining whether the expected performance is within a threshold range, including the first portion of the plurality of registers and the datapaths in the NoC design after determining that the expected performance is within the threshold range, and generating instructions configured to cause circuitry corresponding to the NoC design to be implemented on the integrated circuit.

Abstract: The present disclosure relates generally to techniques for enhancing adders implemented on an integrated circuit. In particular, arithmetic performed by an adder implemented to receive operands having a first precision may be restructured so that a set of sub-adders may perform the arithmetic on a respective segment of the operands. More specifically, the adder may be restructured so that a decoder may determine a generate signal and a propagate signal for each of the sub-adders and may route the generate signal and the propagate signal to a prefix network. The prefix network may determine respective carry bit(s), which may carry into and/or select a sum at a subsequent sub-adder. As a result, the integrated circuit may benefit from increased efficiencies, reduced latency, and reduced resource consumption (e.g., area and/or power) involved with implementing addition, which may improve operations such as encryption or machine learning on the integrated circuit.

Abstract: The present disclosure relates generally to techniques for enhancing packing density of carry-chains implemented on an integrated circuit. In particular, a packed-carry chain may be implemented to redistribute and/or emulate the logic of a first number of arithmetic logic cells of a first and/or second carry-chain using a second number of arithmetic logic cells less than or equal to the first number. By fitting the first and second carry-chain into such a packed carry-chain, the area consumed to perform the arithmetic operations of the first and second carry-chain may be reduced. As a result, the integrated circuit may benefit from increased efficiencies, reduced latency, and reduced resource consumption (e.g., wiring, area, and power).