Bit String Accumulation in Special Purpose Registers
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Solution Overview
Problem
Computing systems face challenges in performing recursive operations due to memory constraints, leading to inaccuracies from rounding errors and overflow issues when storing large bit strings, especially in operations requiring vast memory resources.
Innovation Solution
The implementation of special purpose registers within hardware circuitry for bit string accumulation, allowing results of recursive operations to be stored accurately without truncation, using universal number or posit formats to enhance precision and accuracy, and converting bit strings to these formats before operations.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If standard memory storage is used for bit strings in recursive operations, then memory capacity is sufficient, but rounding errors and overflow issues occur reducing accuracy
Solution Approach 1:
The patent segments the bit string storage across multiple registers (first register, second register, third register) to distribute the storage burden and prevent overflow in any single register. The recursive operation results are accumulated across these segmented storage locations, maintaining accuracy while avoiding the reliability issues of single-register storage.
Solution Approach 2:
The patent introduces special purpose registers as intermediary storage elements between the standard memory and the processing logic. These intermediary registers are specifically designed to handle the bit string accumulation without the rounding and overflow issues of standard memory, acting as a buffer that maintains precision during recursive operations.
2Measurement precision
If special purpose registers are used for bit string accumulation, then accuracy and precision are maintained, but device complexity increases
Solution Approach 1:
The special purpose registers are designed to perform multiple functions: they store bit strings, accumulate recursive operation results, and prevent overflow conditions. By making these registers multi-functional, the patent reduces the need for separate dedicated components for each function, thereby mitigating the increase in device complexity while maintaining high precision.
Solution Approach 2:
The patent merges the storage and processing functions by integrating the special purpose registers directly into the logic circuitry that performs recursive operations. This consolidation eliminates the need for separate storage and processing components, reducing overall device complexity while maintaining the precision benefits of specialized register storage.
3Reliability
If more memory resources are allocated for bit string storage, then overflow issues are reduced, but memory and processing time increase
Solution Approach 1:
The patent performs preliminary allocation of specific registers for specific purposes before the recursive operations begin. The first, second, and third registers are pre-configured to handle specific aspects of the bit string accumulation, preventing overflow conditions before they occur and avoiding the need for time-consuming error handling and recalibration during operation.
Data Source
AI summary
Methods, Systems, and apparatuses related to performing bit string accumulation within a compute or memory device are described. A logic circuit with processing capability and a register within or near memory, for example, can perform multiple iterations of a recursive operation using several bit strings. Results of the various iterations may be written to the register, and subsequent iterations of the recursive operation using the bit strings may be performed. Results of the iterations of recursive operations may be accumulated within the register. Accumulated results may be written as data to another register or to memory that is external to or separate from the logic circuit.