Multiplier Unit Speculative Rounding Division Square Root
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Solution Overview
Problem
Existing integrated circuits face challenges in efficiently performing arithmetic operations like division and square root, as they often require additional circuitry and increased power consumption, leading to larger size and latency issues due to the need for dedicated hardware or software implementation.
Innovation Solution
A multiplier unit is designed with a storage circuit to receive operands, perform iterative multiplication operations, and include a shift/rounding unit to refine results, allowing for efficient approximation and rounding of division or square root operations, thereby minimizing area and power consumption while maintaining fixed latency.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If dedicated hardware is added to implement division or square root operations, then operational capability is improved, but device area and power consumption increase
Solution Approach 1:
The patent implements a universal multiplier unit that can perform multiple arithmetic operations including multiplication, division, and square root operations. The same hardware circuitry is reused across different operations through configurable control logic, eliminating the need for separate dedicated hardware for each operation type. This multi-functional approach allows the device to achieve enhanced operational capability while maintaining a compact area footprint.
2Measurement precision
If iterative multiplication operations are used for division and square root, then precision is improved, but computation time increases
Solution Approach 1:
The patent employs preliminary actions by performing bit-pair selection and partial product generation in advance during the iterative multiplication process. The control logic pre-configures the multiplication stages and prepares intermediate results before final computation, allowing the iterative process to converge faster while maintaining high precision. This preliminary preparation reduces the effective computation time without sacrificing accuracy.
Solution Approach 2:
The iterative multiplication operations continue continuously with each cycle generating more precise results. The patent maintains continuous computation through pipelined stages where intermediate results are immediately fed into the next multiplication cycle, ensuring no idle time between operations. This continuous useful action allows the system to achieve high precision while minimizing total computation time.
3Measurement precision
If additional circuitry is added for rounding operations, then result accuracy is improved, but device complexity increases
Solution Approach 1:
The patent merges the rounding operation circuitry with the existing multiplier unit and control logic. The rounding function is integrated into the same hardware block that performs multiplication, sharing common resources such as adders, multiplexers, and control signals. This consolidation provides accurate rounding capability while avoiding the complexity increase that would result from adding a separate dedicated rounding unit.
Data Source
AI summary
Embodiments of a multiplier unit that may be used for division and square root operations are disclosed. The embodiments may provide a reduced and fixed latency for denormalization and rounding used in the division and square root operations. A storage circuit may be configured to receive first and second source operands. A multiplier circuit may be configured to perform a plurality of multiplication operations dependent upon the first and second source operands. Each result after an initial result of the multiplier may also depend on at least one previous result. Circuitry may be configured to perform a shift operation and a rounding operation on a given result of the plurality of results. An error of the given result may be less than a predetermined threshold value.