Abstract: A data processing system supports execution of program instructions having a rounding position input operand so as to generate control signals for controlling processing circuitry to process a floating point input operand with a significand value to generate an output result which depends upon a value from rounding the floating point input operand using a variable rounding point within the significand of the floating point input operand as specified by the rounding position input operand. In this way, processing operations having as inputs floating point operands and anchored number operands may be facilitated.

Abstract: A data processing system 2 includes instruction decoder circuitry 12 responsive to a conversion instruction FCVTJS to convert a double precision floating point number into a 32-bit integer number. Right shifting circuitry 28 performs a right shift upon at least part of the input number and left shifting circuitry 32 performs a left shift of at least part of the input number. Selection circuitry 38 serves to select one of the right shifted number and the left shifted number as a selected shifted number which forms at least part of the output number which is generated.

Abstract: A processing apparatus has combined divide-square root circuitry for performing a radix-N SRT divide algorithm and a radix-N SRT square root algorithm, where N is an integer power-of-2. The combined circuitry has shared remainder updating circuitry which performs remainder updates for a greater number of iterations per cycle for the SRT divide algorithm than for the SRT square root algorithm. This allows reduced circuit area while avoiding the SRT square root algorithm compromising the performance of the SRT divide algorithm.

Abstract: An apparatus comprises processing circuitry to perform a conversion operation to convert a floating-point value to a vector comprising a plurality of data elements representing respective bit significance portions of a binary value corresponding to the floating-point value.

Abstract: An apparatus includes processing circuitry to perform one or more arithmetic operations for generating a result value based on at least one operand. For at least one arithmetic operation, the processing circuitry is responsive to programmable significance data indicative of a target significance for the result value, to generate the result value having the target significance. For example, this allows programmers to set a significance boundary for the arithmetic operation so that it is not necessary for the processing circuitry to calculate bit values having a significance outside the specified boundary, enabling a performance improvement.

Abstract: A data processing system supports vector operands with components representing different bit significance portions of an integer number. Processing circuitry performs a processing operation specified by a program instruction in dependence upon a number of components comprising the vector as specified by metadata for the vector.

Abstract: Processing circuitry performs a plurality of lanes of processing on respective data elements of at least one operand vector to generate corresponding result data elements of a result vector. The processing circuitry identifies lane position information for each lane of processing, the lane position information for a given lane identifying a relative position of the corresponding result data element to be generated by the given lane within a corresponding result data value spanning one or more result data elements of the result vector. The processing circuitry is configured to perform each lane of processing in dependence on the lane position information identified for that lane. This enables generation of results which are wider or narrower than the vector size supported in hardware.

Abstract: A redundant representation is provided where an M-bit value represents a P-bit numeric value using a plurality of N-bit portions, where M>P>N. An anchor value identifies the significance of bits of each N-bit, and within a group of at least two adjacent N-bit portions, two or more overlap bits of a lower N-bit portion of the group have a same significance as two or more least significant bits of at least one upper N-bit portion of the group. A plurality of operation circuit units can perform a plurality of independent N-bit operation in parallel, each N-bit operation comprising computing a function of corresponding N-bit portions of at least two M-bit operand values having the redundant representation to generate a corresponding N-bit portion of an M-bit result value having the redundant representation. This enables fast associative processing of relatively long M-bit values in the time taken for performing an N-bit operation.

Abstract: A data processing apparatus has a processing circuitry for performing a floating-point square root operation on a radicand value R to generate a result value. The processing circuitry has first square root processing circuitry for processing radicand values R which are not an exact power of two and second square root processing circuitry for processing radicand values which are an exact power of 2. Power-of-two detection circuitry detects whether the radicand value is an exact power of two and selects the output of the first or second square root processing circuitry as appropriate. This allows the result to be generated in fewer processing cycles when the radicand is a power of 2.

Abstract: A method is provided for multiplying a first operand comprising at least two X-bit portions and a second operand comprising at least one Y-bit portion. At least two partial products are generated, each partial product comprising a product of a selected X-bit portion of the first operand and a selected Y-bit portion of the second operand. Each partial product is converted to a redundant representation in dependence on significance indicating information indicative of a significance of the partial product. In the redundant representation, the partial product is represented using a number of N-bit portions, and in a group of at least two adjacent N-bit portions, a number of overlap bits of a lower N-bit portion of the group have a same significance as some least significant bits of at least one upper N-bit portion of the group. The partial products are added while represented in the redundant representation.

Abstract: A data processing system performs processing operations upon input operand(s) having a programmable bit significance. Exception generating circuitry generates exception indications representing exceptions such as overflow, underflow and inexact in respect of a result value having the programmable bit significance.

Abstract: A floating point multiply add circuit 24 includes a multiplier 26 and an adder 28. The input operands A, B and C together with the result value all have a normal exponent value range, such as a range consistent with the IEEE Standard 754. The product value which is passed from the multiplier 26 to the adder 28 as an extended exponent value range that extents lower than the normal exponent value range. Shifters 48, 50 within the adder can take account of the extended exponent value range of the product as necessary in order to bring the result value back into the normal exponent value range.

Abstract: A data processing system uses alignment circuitry to align input operands in accordance with a programmable significance parameter to form aligned input operands. The aligned input operands are supplied to arithmetic circuitry, such as an integer adder or an integer multiplier, where a result value is formed. The result value is stored in an output operand storage element, such as a result register. The programmable significance parameter is independent of the result value.

Abstract: An apparatus 8 for performing a selectable one of multi-element comparison and multi-element addition is formed from a carry propagate adders stage 12 supplied with four non-final intermediate operands formed from the input vector, a non-final limit value selecting stage 14, which when performing a multi-element comparison serves to select, in dependence upon at least carry save values generated by the carry propagate adder, limit values that are of a larger or a smaller value of a pair of elements. A final intermediate operand forming stage 16 forms final intermediate operands from two non-final intermediate sum values from the carry propagate adders stage 12 and supplies these to a final output adder stage 18 which forms a sum of these two final intermediate operands to generate an output operand which can be either one or more candidates for limit values that will be a maximum or minimum value, or a sum value, or partial sum values in the case of a multi-element addition.

Abstract: An apparatus comprises processing circuitry for performing an absolute difference operation for generating an absolute difference value in response to the first operand the second operand. The processing circuitry supports variable data element sizes for data elements of the first and second operands and the absolute difference value. Each data element of the absolute difference value represents an absolute difference between corresponding data elements of the first and second operands. The processing circuitry has an adding stage for performing at least one addition to generate at least one intermediate value and an inverting stage for inverting selected bits of each intermediate value. Control circuitry generates control information based on the current data element size and status information generated in the adding stage, to identify the selected bits to be inverted in the inverting stage to convert each intermediate value into a corresponding portion of the absolute difference value.

Abstract: An apparatus comprises processing circuitry to perform a conversion operation to convert a vector comprising a plurality of data elements representing respective bit significance portions of a binary value to a scalar value comprising an alternative representation of said binary value.

Abstract: A data processing apparatus has floating-point add circuitry for performing a floating-point add operation for adding or subtracting two floating-point operands. The apparatus also has reciprocal estimation circuitry for performing a reciprocal estimation operation on a first operand to generate a reciprocal estimate value which represents an estimate of a reciprocal of a first operand or an estimate or a reciprocal of the square root of the first operand. The reciprocal estimation circuitry is physically distinct from the floating-point adder circuitry, which allows both the reciprocal estimate and the add operations to be faster.

Abstract: A method is provided for multiplying a first operand comprising at least two X-bit portions and a second operand comprising at least one Y-bit portion. At least two partial products are generated, each partial product comprising a product of a selected X-bit portion of the first operand and a selected Y-bit portion of the second operand. Each partial product is converted to a redundant representation in dependence on significance indicating information indicative of a significance of the partial product. In the redundant representation, the partial product is represented using a number of N-bit portions, and in a group of at least two adjacent N-bit portions, a number of overlap bits of a lower N-bit portion of the group have a same significance as some least significant bits of at least one upper N-bit portion of the group. The partial products are added while represented in the redundant representation.

Abstract: Processing circuitry is provided to perform an overlap propagating operation on a first data value to generate a second data value, the first and second data values having a redundant representation representing a P-bit numeric value using an M-bit data value comprising a plurality of N-bit portions, where M>P>N. In the redundant representation, each N-bit portion other than a most significant N-bit portion includes a plurality of overlap bits having a same significance as a plurality of least significant bits of a following N-bit portion. Each N-bit portion of the second data value other than a least significant N-bit portion is generated by adding non-overlap bits of a corresponding N-bit portion of the first data value to the overlap bits of a preceding N-bit portion of the first data value. This provides a faster technique for reducing the chance of overflow during addition of the redundantly represented M-bit value.

Abstract: A redundant representation is provided where an M-bit value represents a P-bit numeric value using a plurality of N-bit portions, where M>P>N. An anchor value identifies the significance of bits of each N-bit, and within a group of at least two adjacent N-bit portions, two or more overlap bits of a lower N-bit portion of the group have a same significance as two or more least significant bits of at least one upper N-bit portion of the group. A plurality of operation circuit units can perform a plurality of independent N-bit operation in parallel, each N-bit operation comprising computing a function of corresponding N-bit portions of at least two M-bit operand values having the redundant representation to generate a corresponding N-bit portion of an M-bit result value having the redundant representation. This enables fast associative processing of relatively long M-bit values in the time taken for performing an N-bit operation.