Abstract: Methods, apparatus, and articles of manufacture for performing calculations using reduced-width data are disclosed. In particular, an example method determines reduced-width data values associated with generating and evaluating functions. Some of the reduced-width data values are stored within instructions in an instruction memory during a compile phase and retrieved from instruction memory during a runtime phase.

Abstract: Methods, apparatus, and articles of manufacture for performing mathematical operations using scaled integers are disclosed. In particular, an example method identifies a scaled-integer value and determines a multiplier value and a scale value based on the scaled-integer value. The multiplier value is determined by extracting information from a first portion of a bitfield based on the scaled-integer value. The scale value is determined by extracting information from a second portion of the bitfield based on the scaled-integer value. The first and second portions of the bitfield are configurable to include signed integer values. The example method then performs an arithmetic operation based on the multiplier value and the scale value.

Abstract: Methods, apparatus, and articles of manufacture for performing calculations using reduced-width data are disclosed. In particular, an example method determines reduced-width data values associated with generating and evaluating functions. Some of the reduced-width data values are stored within instructions in an instruction memory during a compile phase and retrieved from instruction memory during a runtime phase.

Abstract: Methods and apparatus for determining approximating polynomials using instruction-embedded coefficients are disclosed. In particular, the methods and apparatus use a plurality of coefficient values stored in a plurality of instructions. The coefficient values are associated with a runtime approximating polynomial of a K-th root family function. The coefficient values and the instructions stored in an instruction memory enable the processor system to determine a K-th root family function approximation value based on the runtime approximating polynomial.