A memory array arranged in multiple columns and rows. Computation circuits that each calculate a computation value from cell values in a corresponding column. A column multiplexer cycles through multiple data lines that each corresponds to a computation circuit. Cluster cycle management circuitry determines a number of multiplexer cycles based on a number of columns storing data of a compute cluster. A sensing circuit obtains the computation values from the computation circuits via the column multiplexer as the column multiplexer cycles through the data lines. The sensing circuit combines the obtained computation values over the determined number of multiplexer cycles. A first clock may initiate the multiplexer to cycle through its data lines for the determined number of multiplexer cycles, and a second clock may initiate each individual cycle. The multiplexer or additional circuitry may be utilized to modify the order in which data is written to the columns.

A logic circuit comprising: inputs for receiving multiple n-bit numbers, n being greater than one; and an adder capable of receiving m n-bit numbers, m being greater than one, and forming an output representing the sum of those numbers, the adder having a plurality of single-bit stages and being configured to form the sum by subjecting successive bits of each of the numbers to an operation in a respective one of the single-bit stages, the single-bit stages being such that the adder has insufficient capacity to add all possible combinations of bits in a respective bit position of m n-bit numbers; the addition circuit being configured to add the multiple n-bit numbers by: in the adder, adding a first one of the n-bit numbers to a value corresponding to a set of non-consecutive bits of another of the n-bit numbers to form a first intermediate value; adding the first intermediate value to a value corresponding to the bits of the said other of the n-bit numbers other than those in the said set to form a sum; and outputting the sum.

A logic circuit comprising: inputs for receiving multiple n-bit numbers, n being greater than one; and an adder capable of receiving m n-bit numbers, m being greater than one, and forming an output representing the sum of those numbers, the adder having a plurality of single-bit stages and being configured to form the sum by subjecting successive bits of each of the numbers to an operation in a respective one of the single-bit stages, the single-bit stages being such that the adder has insufficient capacity to add all possible combinations of bits in a respective bit position of m n-bit numbers; the addition circuit being configured to add the multiple n-bit numbers by: in the adder, adding a first one of the n-bit numbers to a value corresponding to a set of non-consecutive bits of another of the n-bit numbers to form a first intermediate value; adding the first intermediate value to a value corresponding to the bits of the said other of the n-bit numbers other than those in the said set to form a sum; and outputting the sum.

An apparatus includes a processing circuit and a storage device. The processing circuit is configured to perform one or more processing operations in response to one or more instructions to generate an anchored-data element. The storage device is configured to store the anchored-data element. A format of the anchored-data element includes an identification item, an overlap item, and a data item. The data item is configured to hold a data value of the anchored-data element. The identification item indicates an anchor value for the data value or one or more special values.

An apparatus includes a processing circuit and a storage device. The processing circuit is configured to perform one or more processing operations in response to one or more instructions to generate an anchored-data element. The storage device is configured to store the anchored-data element. A format of the anchored-data element includes an identification item, an overlap item, and a data item. The data item is configured to hold a data value of the anchored-data element. The identification item indicates an anchor value for the data value or one or more special values.

A computer-implemented method includes receiving, by a processing unit, an instruction to perform a masked shift add operation with a set of operands. A logical AND operation is performed on a first pair of operands from the set of operands to obtain a first intermediate result. The first intermediate result is shifted by a first shift amount that is based on a first operand from the first pair of operands. A logical AND operation is performed on a second pair of operands from the set of operands to obtain a second intermediate result. The second intermediate result is shifted by a second shift amount that is based on a first operand from the second pair of operands. The shifted first intermediate result is added with the shifted second intermediate result. The method further includes outputting, as a result of the masked shift add operation, an output of the adding.

A computer-implemented method includes receiving, by a processing unit, an instruction to perform a masked shift add operation with a set of operands. A logical AND operation is performed on a first pair of operands from the set of operands to obtain a first intermediate result. The first intermediate result is shifted by a first shift amount that is based on a first operand from the first pair of operands. A logical AND operation is performed on a second pair of operands from the set of operands to obtain a second intermediate result. The second intermediate result is shifted by a second shift amount that is based on a first operand from the second pair of operands. The shifted first intermediate result is added with the shifted second intermediate result. The method further includes outputting, as a result of the masked shift add operation, an output of the adding.

A memory array arranged in multiple columns and rows. Computation circuits that each calculate a computation value from cell values in a corresponding column. A column multiplexer cycles through multiple data lines that each corresponds to a computation circuit. Cluster cycle management circuitry determines a number of multiplexer cycles based on a number of columns storing data of a compute cluster. A sensing circuit obtains the computation values from the computation circuits via the column multiplexer as the column multiplexer cycles through the data lines. The sensing circuit combines the obtained computation values over the determined number of multiplexer cycles. A first clock may initiate the multiplexer to cycle through its data lines for the determined number of multiplexer cycles, and a second clock may initiate each individual cycle. The multiplexer or additional circuitry may be utilized to modify the order in which data is written to the columns.

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.

Methods and systems relating to computational circuitry are disclosed herein. A disclosed computational circuit includes a math circuit, a first accumulator, and a second accumulator. The first accumulator has a first memory. The second accumulator has a second memory. The first accumulator is communicatively connected to the math circuit and accumulates values from the math circuit in the first memory. The second accumulator is communicatively connected to the first memory and accumulates values from the first memory in the second memory. The first memory is faster and smaller than the second memory.