Anchor-Based Significand Shifting for Floating-Point Alignment
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Solution Overview
Problem
Existing data processing apparatuses face significant overhead in area, latency, and power consumption due to the complexity of aligning multiple floating point values for operations like fused multiply-add or multiply-accumulate, requiring multiple exponent comparisons and additional circuitry.
Innovation Solution
The apparatus determines a shift value for each floating point value by subtracting its exponent from a predetermined constant anchor value based on the maximum calculable product exponent, aligning significands to simplify the alignment process and reduce combinatorial complexity.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If multiple exponent comparisons are performed to align floating point values, then alignment accuracy is improved, but device complexity and processing time increase
Solution Approach 1:
The patent pre-calculates and stores the maximum exponent value from the input floating point values before the alignment process. This preliminary determination of the reference exponent eliminates the need for multiple comparisons during runtime, reducing both device complexity and processing time while maintaining alignment accuracy
Solution Approach 2:
The alignment process is segmented into distinct stages: first determining the maximum exponent, then using it as a fixed reference for all significand alignments. This segmentation separates the complex multi-way comparison problem into a simpler two-step process, reducing overall system complexity
2Measurement precision
If multiple exponent comparisons are performed to align floating point values, then alignment accuracy is improved, but processing latency increases
Solution Approach 1:
The maximum exponent is determined and fixed before the alignment operation proceeds, allowing all significands to be aligned simultaneously against this pre-established reference. This eliminates iterative comparison loops and reduces processing latency while preserving alignment precision
Solution Approach 2:
Instead of comparing each exponent against every other exponent to find the maximum, the patent inverts the approach by using a predetermined or pre-calculated reference exponent and comparing all other exponents against it, significantly reducing the number of comparisons required
3Productivity
If additional circuitry is added to handle multiple floating point values, then processing capability is improved, but area consumption increases
Solution Approach 1:
The patent implements a universal alignment mechanism that uses a single reference exponent value to align multiple floating point significands. This multi-functional approach allows the same circuitry to handle any number of input values without requiring additional comparison logic for each pair, improving processing capability while controlling area consumption
Solution Approach 2:
The patent uses a copied or replicated reference exponent value across all alignment operations. Instead of creating new comparison circuitry for each floating point value, the same reference exponent is reused and copied to multiple alignment units, reducing the overall circuit area while maintaining the ability to process multiple values in parallel
4Productivity
If additional circuitry is added to handle multiple floating point values, then processing capability is improved, but power consumption increases
Solution Approach 1:
A single power-efficient reference exponent determination circuit serves all alignment operations for multiple floating point values. This universal circuit avoids the need for multiple active comparison units that would consume more power, thereby improving processing capability while controlling power consumption
Solution Approach 2:
The reference exponent value is copied and distributed to multiple alignment units without requiring active regeneration or re-comparison in each unit. This copying approach reduces the dynamic power consumption associated with repeated exponent comparisons while enabling parallel processing of multiple floating point values
Data Source
AI summary
Apparatuses, methods, computer readable media, and systems are disclosed in which a floating point processing instruction is decoded to generate control signals to trigger a floating point processing operation. In response to the control signals, the floating point processing operation is performed, comprising: performing processing that yields more than two floating point values; and performing, for each of the more than two floating point values: a determination of a shift value for a significand of that floating point value by subtracting an exponent value for that floating point value from a predetermined constant anchor value determined based on a maximum calculable product exponent for a product of the more than two floating point operands, and a shift of the significand by the shift value determined for that floating point value.