An apparatus integrates arithmetic with logic operations. The apparatus includes a calculation device that calculates source data to generate and output first destination data. The apparatus further includes a normalization unit, coupled to the calculation device, that normalizes the first destination data to generate second destination data of a first type when receiving a signal indicating an output of first-type data, and normalizing the first destination data to generate the second destination data of a second type when receiving the signal indicating an output of second-type data.

High speed scrubbing of airspace radar returns is provided. A system can include a central processing unit (CPU) and a graphical processing unit (GPU). The CPU loads time-ordered airspace radar return data that includes radar returns each encoded as an object with location information, time information, and property information. The GPU generates arrays including the location information, the time information, and the property information reorganized into a location array, a time array, and a property-based array. The GPU receives an indication to scrub a display of at least a portion of the airspace radar return data to a time window prior to a current display time or subsequent to the current display time. The GPU retrieves, from the arrays, a location entry and a property-based entry that satisfy the time window. The GPU renders frames with pixels corresponding to the location entry, the time entry, and the property-based entry.

The present embodiments relate to integrated circuits with floating-point arithmetic circuitry that handles normalized and denormalized floating-point numbers. The floating-point arithmetic circuitry may include a normalization circuit and a rounding circuit, and the floating-point arithmetic circuitry may generate a first result in form of a normalized, unrounded floating-point number and a second result in form of a normalized, rounded floating-point number. If desired, the floating-point arithmetic circuitry may be implemented in specialized processing blocks.

An apparatus for integrating arithmetic with logic operations contains at least a calculation device and a post-logic unit. The calculation device calculates source data to generate and output first destination data. The post-logic unit, coupled to the calculation device, performs a comparison operation for comparing the first destination data with 0 and outputs a comparison result.

A computing accelerator using a lookup table. The accelerator may accelerate floating point multiplications by retrieving the fraction portion of the product of two floating-point operands from a lookup table, or by retrieving the product of two floating-point operands of two floating-point operands from a lookup table, or it may retrieve dot products of floating point vectors from a lookup table. The accelerator may be implemented in a three-dimensional memory assembly. It may use approximation, the symmetry of a multiplication lookup table, and zero-skipping to improve performance.

Providing efficient floating-point operations using matrix processors in processor-based systems is disclosed. In this regard, a matrix-processor-based device provides a matrix processor comprising a positive partial sum accumulator and a negative partial sum accumulator. As the matrix processor processes pairs of floating-point operands, the matrix processor calculates an intermediate product based on a first floating-point operand and a second floating-point operand and determines a sign of the intermediate product. Based on the sign, the matrix processor normalizes the intermediate product with a partial sum fraction of the positive partial sum accumulator or the negative partial sum accumulator, then adds the intermediate product to the positive sum accumulator or the negative sum accumulator. After processing all pairs of floating-point operands, the matrix processor subtracts the negative partial sum accumulator from the positive partial sum accumulator to generate a final sum, then renormalizes the final sum a single time.

An apparatus for integrating arithmetic with logic operations contains at least a calculation device and a post-logic unit. The calculation device calculates source data to generate and output first destination data. The post-logic unit, coupled to the calculation device, performs a comparison operation for comparing the first destination data with 0 and outputs a comparison result.

Systems and methods are provided to perform multiply-accumulate operations of at least one normalized number in a systolic array. The systolic array can obtain a first input and detect that the first input is denormal. Based on determining the first input is denormal, the systolic array can generate a first normalized number by normalizing the first input. Processing elements of the systolic array can include a multiplier and an adder. The multiplier can multiply the first normalized number by a second normal or normalized number to generate a multiplier product and the adder can add an input partial sum to the multiplier product to generate an addition result.

A Transcendental Calculation Unit includes a Configuration Table storing a set of constants and provide a selected one of the constants, a Power Series Multiplier that iteratively develops a power series, a Coefficient Series Multiplier and Accumulator that develops an accumulated product of the power series and the constant, and a Round and Normalize Stage that rounds the accumulated product and normalizes rounded product.

An arithmetic unit includes a multiplier multiplying first and second inputs to output a multiplication result, an adder adding the third input to the multiplication result to output a multiplication addition result, a normalization shift circuit shifting the multiplication addition result left with a left shift amount, and a left shift amount prediction circuit. The adder includes a carry-save adder adding a first addition value and a first carry value to the third input and a full adder outputting the multiplication addition result. The left shift amount prediction circuit includes a leading zero count circuit generating a leading zero count, a leading one count circuit generating a leading one count, and a correction circuit correcting the leading one count to zero when NOR of respective least significant bits of the M upper order bits of the second addition value and the second carry value of the full adder is true.