Abstract: A binary fused multiply-add floating-point unit configured to operate on an addend, a multiplier, and a multiplicand. The unit is configured to receive as the addend an unrounded result of a prior operation executed in the unit via an early result feedback path; to perform an alignment shift of the unrounded addend on an unrounded exponent and an unrounded mantissa; as well as perform a rounding correction for the addend in parallel to the actual alignment shift, responsive to a rounding-up signal.

Abstract: A binary fused multiply-add floating-point unit configured to operate on an addend, a multiplier, and a multiplicand. The unit is configured to receive as the addend an unrounded result of a prior operation executed in the unit via an early result feedback path; to perform an alignment shift of the unrounded addend on an unrounded exponent and an unrounded mantissa; as well as perform a rounding correction for the addend in parallel to the actual alignment shift, responsive to a rounding-up signal.

Abstract: A system and method for detecting decimal floating point data processing exceptions. A processor accepts at least one decimal floating point operand and performs a decimal floating point operation on the at least one decimal floating point operand to produce a decimal floating point result. A determination is made as to whether the decimal floating point result fails to maintain a preferred quantum. The preferred quantum indicates a value represented by a least significant digit of a significand of the decimal floating point result. An output is provided, in response to the determining that the decimal floating point result fails to maintain the preferred quantum, indicating an occurrence of a quantum exception. A maskable exception can be generated that is immediately trapped or later detected to control conditional processing.

Abstract: Checking correctness of computations. An arithmetic logic unit circuit provides a computation result as a first number. The computation result is increased by a constant as a second number by the arithmetic logic unit circuit. A sum of the first number and the constant is compared to the second number, and an error is reported, if the comparing operation does not indicate an equal result.

Abstract: Methods and apparatuses for performing a floating point multiply-add operation with alignment correction. A processor receives a first operand, a second operand and a third operand, wherein the first, second and third operands each represent a floating point number comprising a significand value and a biased exponent value. A processor determines a shift amount based, at least in part, on the one or more biased exponent values of the first, second or third operand. A processor determines a shift amount correction based, at least in part, on the one or more biased exponent values of the first, second or third operand being equal to zero.

Abstract: Methods and apparatuses for generating a condition code for a floating point number operation prior to normalization. A processor receives an intermediate result for an operation, wherein the intermediate result comprises an intermediate significand and an intermediate exponent. A processor determines a mask based on the value of the intermediate exponent. A processor generates a masked significand by applying the mask to the intermediate significand. A processor generates a condition code based on the masked significand having a predetermined value.

Abstract: Methods and apparatuses for generating a condition code for a floating point number operation prior to normalization. A processor receives an intermediate result for an operation, wherein the intermediate result comprises an intermediate significand and an intermediate exponent. A processor determines a mask based on the value of the intermediate exponent. A processor generates a masked significand by applying the mask to the intermediate significand. A processor generates a condition code based on the masked significand having a predetermined value.

Abstract: Methods and apparatuses for performing a floating point multiply-add operation with alignment correction. A processor receives a first operand, a second operand and a third operand, wherein the first, second and third operands each represent a floating point number comprising a significand value and a biased exponent value. A processor determines a shift amount based, at least in part, on the one or more biased exponent values of the first, second or third operand. A processor determines a shift amount correction based, at least in part, on the one or more biased exponent values of the first, second or third operand being equal to zero.

Abstract: Performing an arithmetic operation in a data processing unit, including calculating a number of iterations for performing the arithmetic operation with a given number of bits per iteration. The number of bits per iteration is a positive natural number. A number of consecutive digit positions of a digit in a sequence of bits represented in the data processing unit is counted. The length of the sequence is a multiple of the number of bits per iteration. A quotient of the number of consecutive digit positions divided by the number of bits per iteration is calculated, as well as a remainder of the division.

Abstract: Mechanisms for utilizing a reduced lookup table circuit to perform an operation in a data processing device are provided. A first input value is input for selecting a subset of values from the reduced lookup table circuit. The reduced lookup table circuit stores only boundary cell values from a fully filled lookup table corresponding to the reduced lookup table circuit. The subset of values comprises only a subset of boundary cell values corresponding to the first input value. A second value is input and a comparison, by the reduced lookup table circuit, of the second value to each of the boundary cell values in the subset of boundary cell values is performed. The reduced lookup table circuit outputs an output value based on results of the comparison of the second value to each of the boundary cell values in the subset of boundary cell values.

Abstract: Mechanisms for utilizing a reduced lookup table circuit to perform an operation in a data processing device are provided. A first input value is input for selecting a subset of values from the reduced lookup table circuit. The reduced lookup table circuit stores only boundary cell values from a fully filled lookup table corresponding to the reduced lookup table circuit. The subset of values comprises only a subset of boundary cell values corresponding to the first input value. A second value is input and a comparison, by the reduced lookup table circuit, of the second value to each of the boundary cell values in the subset of boundary cell values is performed. The reduced lookup table circuit outputs an output value based on results of the comparison of the second value to each of the boundary cell values in the subset of boundary cell values.

Abstract: A method for converting a signed fixed point number into a floating point number that includes reading an input number corresponding to a signed fixed point number to be converted, determining whether the input number is less than zero, setting a sign bit based upon whether the input number is less than zero or greater than or equal to zero, computing a first intermediate result by exclusive-ORing the input number with the sign bit, computing leading zeros of the first intermediate result, padding the first intermediate result based upon the sign bit, computing a second intermediate result by shifting the padded first intermediate result to the left by the leading zeros, computing an exponent portion and a fraction portion, conditionally incrementing the fraction portion based on the sign bit, correcting the exponent portion and the fraction portion if the incremented fraction portion overflows, and returning the floating point number.

Abstract: A distributed residue checking apparatus for a floating point unit having a plurality of functional elements performing floating-point operations on a plurality of operands. The distributed residue checking apparatus includes a plurality of residue generators which generate residue values for the operands and the functional elements, and a plurality of residue checking units distributed throughout the floating point unit. Each residue checking unit receives a first residue value and a second residue value from respective residue generators and compares the first residue value to the second residue value to determine whether an error has occurred in a floating-point operation performed by a respective functional element.

Abstract: A decimal multiplication mechanism for fixed and floating point computation in a computer having a coefficient mechanism without resulting leading zero detection (LZD) and process which assumes that the final product will be M+N digits in length and performs all calculations based on this assumption. Least significant digits that would be truncated are no longer stored, but retained as sticky information which is used to finalize the result product. Once the computation of the product is complete, a final check based on the examination of key bits observed during partial product accumulation is used to determine if the final product is truly M+N digits in length, or M+N?1 digits. If the latter is true, then corrective final product shifting is employed to obtain the proper result. This eliminates the need for dedicated leading zero detection hardware used to determine the number of significant digits in the final product.

Abstract: Mechanisms for utilizing a reduced lookup table circuit to perform an operation in a data processing device are provided. A first input value is input for selecting a subset of values from the reduced lookup table circuit. The reduced lookup table circuit stores only boundary cell values from a fully filled lookup table corresponding to the reduced lookup table circuit. The subset of values comprises only a subset of boundary cell values corresponding to the first input value. A second value is input and a comparison, by the reduced lookup table circuit, of the second value to each of the boundary cell values in the subset of boundary cell values is performed. The reduced lookup table circuit outputs an output value based on results of the comparison of the second value to each of the boundary cell values in the subset of boundary cell values.

Abstract: Mechanisms for utilizing a reduced lookup table circuit to perform an operation in a data processing device are provided. A first input value is input for selecting a subset of values from the reduced lookup table circuit. The reduced lookup table circuit stores only boundary cell values from a fully filled lookup table corresponding to the reduced lookup table circuit. The subset of values comprises only a subset of boundary cell values corresponding to the first input value. A second value is input and a comparison, by the reduced lookup table circuit, of the second value to each of the boundary cell values in the subset of boundary cell values is performed. The reduced lookup table circuit outputs an output value based on results of the comparison of the second value to each of the boundary cell values in the subset of boundary cell values.

Abstract: The forcing of the result or output of a rounder portion of a floating point processor occurs only in a fraction non-increment data path within the rounder and not in the fraction increment data path within the rounder. The fraction forcing is active on a corner case such as a disabled overflow exception. A disabled overflow exception may be detected by inspecting the normalized exponent. If a disabled overflow exception is detected, the round mode is selected to execute only in the non-increment data path thereby preventing the fraction increment data path from being selected.

Abstract: A shifter that includes a plurality of shift stages positioned within the shifter, and receiving and shifting input data to generate a shifted result, and a detection circuit coupled at an input of a final shift stage of the plurality of shifters, in a final stage within the shifter. The detection circuit receives a partially shifted vector at the input of the final shift stage along with a predetermined shift amount, and performing an all-one or all-zero detection operation using a portion of the partially shifted vector and the predetermined shift amount, in parallel, to a shifting operation performed by the final shift stage to generate the shifted result.

Abstract: A system and method for detecting decimal floating point data processing exceptions. A processor accepts at least one decimal floating point operand and performs a decimal floating point operation on the at least one decimal floating point operand to produce a decimal floating point result. A determination is made as to whether the decimal floating point result fails to maintain a preferred quantum. The preferred quantum indicates a value represented by a least significant digit of a significand of the decimal floating point result. An output is provided, in response to the determining that the decimal floating point result fails to maintain the preferred quantum, indicating an occurrence of a quantum exception. A maskable exception can be generated that is immediately trapped or later detected to control conditional processing.

Abstract: A method for controlling rounding modes in a single instruction multiple data (SIMD) floating-point unit is disclosed. The SIMD floating-point unit includes a floating-point status-and-control register (FPSCR) having a first rounding mode bit field and a second rounding mode bit field. The SIMD floating-point unit also includes means for generating a first slice and a second slice. During a floating-point operation, the SIMD floating-point unit concurrently performs a first rounding operation on the first slice and a second rounding operation on the second slice according to a bit in the first rounding mode bit field and a bit in the second rounding mode bit field within the FPSCR, respectively.