Abstract: A processing device comprises a register configured to store a count value indicating a number of times overflow events have resulted from arithmetic operations performed by the processing device. An execution unit of the device, in response to performing an arithmetic operation having a result which extends beyond one of the predefined limit values for the floating-point format, stores a result value that is within the predefined limit values, and cause the count value to be incremented. The count value provides a performant way of determining the number of overflow events that have occurred during the arithmetic processing performed by the execution unit. The count value provides a metric that provides a measure of the inaccuracy imparted into the results of the application processing by overflow events.

Abstract: A processing device comprising: a control register configured to store a scaling factor; at least one execution unit configured to execute instructions to perform arithmetic operations on input floating-point numbers provided according to a first floating-point format, wherein each of the input floating-point numbers provided according to the first floating-point format comprises a predetermined number of bits, wherein the at least one execution unit is configured to, in response to execution of an instance of a first of the instructions: perform processing of a first set of the input floating-point numbers to generate a result value, the result value provided in a further format and comprising more the predetermined number of bits, enabling representation of a greater range of values than is representable in the first floating-point format; and apply the scaling factor specified in the control register to increase or decrease an exponent of the result value.