Abstract: A fused multiply-adder is disclosed. The fused multiply-adder includes a Booth encoder, a fraction multiplier, a carry corrector, and an adder. The Booth encoder initially encodes a first operand. The fraction multiplier multiplies the Booth-encoded first operand by a second operand to produce partial products, and then reduces the partial products into a set of redundant sum and carry vectors. The carry corrector then generates a carry correction factor for correcting the carry vectors. The adder adds the redundant sum and carry vectors and the carry correction factor to a third operand to yield a final result.

Abstract: A method and system for reducing power consumption when processing mathematical operations. Power may be reduced in processor hardware devices that receive one or more operands from an execution unit that executes instructions. A circuit detects when at least one operand of multiple operands is a zero operand, prior to the operand being forwarded to an execution component for completing a mathematical operation. When at least one operand is a zero operand or at least one operand is “unordered”, a flag is set that triggers a gating of a clock signal. The gating of the clock signal disables one or more processing stages and/or devices, which perform the mathematical operation. Disabling the stages and/or devices enables computing the correct result of the mathematical operation on a reduced data path. When a device(s) is disabled, the device may be powered off until the device is again required by subsequent operations.

Abstract: Binary code decimal (BCD) arithmetic add/subtract operations on two BCD numbers independent of which BCD number is of a greater magnitude include, responsive to the BCD arithmetic add/subtract operation being a subtract operation, performing a BCD arithmetic subtraction operation on a first BCD number and a second BCD number, the first BCD number having a first magnitude and the second BCD number having a second magnitude. The first magnitude is greater than, equal to, or less than the second magnitude. The performing includes: in parallel to a carry generation, partial sums or partial differences of the first and second BCD numbers are computer such that a final result in signed magnitude form is selectable from the partial sums or differences based on carry information without any post processing steps.

Abstract: Techniques for reducing issue-to-issue latency by reversing processing order in half-pumped single instruction multiple data (SIMD) execution units are described. In one embodiment a processor functional unit is provided comprising a frontend unit, and execution core unit, a backend unit, an execution order control signal unit, a first interconnect coupled between and output and an input of the execution core unit and a second interconnect coupled between an output of the backend unit and an input of the frontend unit. In operation, the execution order control signal unit generates a forwarding order control signal based on the parity of an applied clock signal on reception of a first vector instruction. This control signal is in turn used to selectively forward first and second portions of an execution result of the first vector instruction via the interconnects for use in the execution of a dependent second vector instruction.

Abstract: According to one aspect of the present disclosure, a method and technique for encoding densely packed decimals is disclosed. The method includes: executing a floating point instruction configured to perform a floating point operation on decimal data in a binary coded decimal (BCD) format; determining whether a result of the operation includes a rounded mantissa overflow; and responsive to determining that the result of the operation includes a rounded mantissa overflow, compressing a result of the operation from the BCD-formatted decimal data to decimal data in a densely packed decimal (DPD) format by shifting select bit values of the BCD formatted decimal data by one digit to select bit positions in the DPD format.

Abstract: A floating point processor unit executes a floating point compare instruction with two operands of the same or different precision by comparing the two operands in integer format, which speeds up the execution of the floating point compare instruction significantly. The floating point processor now executes the floating point compare instruction at least twice as fast or faster (e.g., two clock cycles instead of five clock cycles in the prior art) for nearly most operand cases (e.g., 99% of all cases). Only the rare corner cases require additional operations on one of the operands and thus require additional cycles of execution time because the integer compare operation will not work for these corner cases. This is due to the fact that one operand is a single precision subnormal number in an unnormalized representation (i.e., has two representations) and the other operand is in the SP subnormal range such that the integer compare operation will fail.

Abstract: A system and a method for storing numbers in a register file are provided. The system and the method store single precision numbers in double precision format in a register file that is shared between floating point computational units and computational units not supporting floating point numbers.

Abstract: A method and system for reducing power consumption when processing mathematical operations. Power may be reduced in processor hardware devices that receive one or more operands from an execution unit that executes instructions. A circuit detects when at least one operand of multiple operands is a zero operand, prior to the operand being forwarded to an execution component for completing a mathematical operation. When at least one operand is a zero operand or at least one operand is “unordered”, a flag is set that triggers a gating of a clock signal. The gating of the clock signal disables one or more processing stages and/or devices, which perform the mathematical operation. Disabling the stages and/or devices enables computing the correct result of the mathematical operation on a reduced data path. When a device(s) is disabled, the device may be powered off until the device is again required by subsequent operations.

Abstract: In a binary floating point processor, the exponents of each of the various types of operands are recoded into an internal format, by biasing the exponents with the minimum exponent value of the result precision (“Emin”), i.e., the recoded value of the exponent is the represented value of the exponent minus Emin. Emin depends only on the result precision of the instruction that is currently being executed in the binary floating point processor. The exponent computations are then performed in this new format. The underflow check for all result precisions is a check against zero and overflow checks are performed against a positive number that depends on the result precision. The exponent values are in a 2's complement representation, so the underflow check simply becomes a check of the sign bit.

Abstract: A method, system and computer program product for reducing power consumption when processing mathematical operations. Power may be reduced in processor hardware devices that receive one or more operands from an execution unit that executes instructions. A circuit detects when at least one operand of multiple operands is a zero operand, prior to the operand being forwarded to an execution component for completing a mathematical operation. When at least one operand is a zero operand or at least one operand is “unordered”, a flag is set that triggers a gating of a clock signal. The gating of the clock signal disables one or more processing stages and/or devices, which perform the mathematical operation. Disabling the stages and/or devices enables computing the correct result of the mathematical operation on a reduced data path. When a device(s) is disabled, the device may be powered off until the device is again required by subsequent operations.

Abstract: Binary code decimal (BCD) arithmetic add/subtract operations on two BCD numbers independent of which BCD number is of a greater magnitude include, responsive to the BCD arithmetic add/subtract operation being a subtract operation, performing a BCD arithmetic subtraction operation on a first BCD number and a second BCD number, the first BCD number having a first magnitude and the second BCD number having a second magnitude. The first magnitude is greater than, equal to, or less than the second magnitude. The performing includes: in parallel to a carry generation, partial sums or partial differences of the first and second BCD numbers are computer such that a final result in signed magnitude form is selectable from the partial sums or differences based on carry information without any post processing steps.

Abstract: A 3-stack floorplan for a floating point unit includes: an aligner located in the center of the floating point unit; a frontend located directly above the aligner; a multiplier located directly below the frontend and next to the aligner; an adder located directly next to the multiplier and directly below the aligner; a normalizer located directly above the adder; and a rounder located directly above the normalizer.

Abstract: A system and a method for storing numbers in a register file are provided. The system and the method store single precision numbers in double precision format in a register file that is shared between floating point computational units and computational units not supporting floating point numbers.

Abstract: A method for executing multiple computational primitives is provided in accordance with exemplary embodiments. A first computational unit and at least a second computational unit cooperate to execute multiple computational primitives. The first computational unit independently computes other computational primitives. By virtue of arbitration for shared source operand buses or shared result buses, availability of the first and second computational units needed to execute cooperatively the multiple computational primitives is assured by a process of reservation as used for a computational primitive executed on a dedicated computational unit.

Abstract: In a binary floating point processor, the exponents of each of the various types of operands are recoded into an internal format, by biasing the exponents with the minimum exponent value of the result precision (“Emin”), i.e., the recoded value of the exponent is the represented value of the exponent minus Emin. Emin depends only on the result precision of the instruction that is currently being executed in the binary floating point processor. The exponent computations are then performed in this new format. The underflow check for all result precisions is a check against zero and overflow checks are performed against a positive number that depends on the result precision. The exponent values are in a 2's complement representation, so the underflow check simply becomes a check of the sign bit.

Abstract: A 3-stack floorplan for a floating point unit includes: an aligner located in the center of the floating point unit; a frontend located directly above the aligner; a multiplier located directly below the frontend and next to the aligner; an adder located directly next to the multiplier and directly below the aligner; a normalizer located directly above the adder; and a rounder located directly above the normalizer.

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 method, system and computer program product for reducing power consumption when processing mathematical operations. Power may be reduced in processor hardware devices that receive one or more operands from an execution unit that executes instructions. A circuit detects when at least one operand of multiple operands is a zero operand, prior to the operand being forwarded to an execution component for completing a mathematical operation. When at least one operand is a zero operand or at least one operand is “unordered”, a flag is set that triggers a gating of a clock signal. The gating of the clock signal disables one or more processing stages and/or devices, which perform the mathematical operation. Disabling the stages and/or devices enables computing the correct result of the mathematical operation on a reduced data path. When a device(s) is disabled, the device may be powered off until the device is again required by subsequent operations.

Abstract: A method for executing multiple computational primitives is provided in accordance with exemplary embodiments. A first computational unit and at least a second computational unit cooperate to execute multiple computational primitives. The first computational unit independently computes other computational primitives. By virtue of arbitration for shared source operand buses or shared result buses, availability of the first and second computational units needed to execute cooperatively the multiple computational primitives is assured by a process of reservation as used for a computational primitive executed on a dedicated computational unit.

Abstract: A method for implementing sign extension within a multi-precision multiplier is described. The method includes receiving a first input within a multiplier core of the multiplier, receiving a second input within the multiplier core, and creating partial products in the multiplier core using the first and second inputs. The method also includes summing up the partial products in a partial product reduction tree in the multiplier core. The method also includes performing sign extension within the partial product reduction tree of the multiplier core by adding a value to a partial product of the partial product reduction tree. The method further includes computing an output from the partial product reduction tree, the output including a final product of the first and second inputs signed extended to a desired width.