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.

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.

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.

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.

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.

A processor includes a front end to decode an instruction and an allocator to assign the instruction to an execution unit to execute the instruction to compute a floating point result subject to a cancellation effect. The execution unit includes a threshold to control notification the cancellation effect, a logic to compute the maximum exponent from a source value, a logic to compute the floating point exponent, a logic to compute the detected cancellation value, and a logic to compare the detected cancellation value to the threshold.

A multiplier circuit includes a first circuit comprising a first transistor, a second transistor, a first capacitor, and a second capacitor. It further includes a second circuit comprising a third transistor, a fourth transistor, a third capacitor, and a fourth capacitor.

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.

Embodiments of the present disclosure include a tininess prediction and handler engine for handling numeric underflow while streamlining the data path for handling normal range cases, thereby avoiding flushes, and reducing the complexity of a scheduler with respect to how dependent operations are handled. A preemptive tiny detection logic section can detect a potential tiny result for the function or operation that is being performed, and can produce a pessimistic tiny indicator. The tininess prediction and handler engine can further include a subnormal post-processing pipe, which can denormalize and round one or more subnormal operations while in a post-processing mode. A schedule modification logic section can reschedule in-flight operations. The schedule modification logic section can issue dependent operations optimistically assuming that a producing operation will not produce a tiny result, and so will not incur extra latency associated with fixing the tiny result in the post-processing pipe.

Methods, apparatus, instructions and logic are disclosed providing double rounded combined floating-point multiply and add functionality as scalar or vector SIMD instructions or as fused micro-operations. Embodiments include detecting floating-point (FP) multiplication operations and subsequent FP operations specifying as source operands results of the FP multiplications. The FP multiplications and the subsequent FP operations are encoded as combined FP operations including rounding of the results of FP multiplication followed by the subsequent FP operations. The encoding of said combined FP operations may be stored and executed as part of an executable thread portion using fused-multiply-add hardware that includes overflow detection for the product of FP multipliers, first and second FP adders to add third operand addend mantissas and the products of the FP multipliers with different rounding inputs based on overflow, or no overflow, in the products of the FP multiplier. Final results are selected respectively using overflow detection.