FPGA Carry Chain Packing for Logic Utilization
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Solution Overview
Problem
Current electronic design automation (EDA) tools face challenges in efficiently packing adders on field programmable gate arrays (FPGAs) for low precision multipliers, leading to low logic utilization and prolonged design compilation times.
Innovation Solution
The method involves using continuous carry chains to map multiple logical adders onto a single logical adder, optimizing the placement and routing of arithmetic functions by selecting a carry chain length supported by the target device's resources and designating bit positions to prevent overflow, thereby increasing logic utilization and reducing compilation time.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If multiple logical adders are mapped onto a single logical adder using continuous carry chains, then logic utilization is improved, but device complexity increases
Solution Approach 1:
Multiple logical adders are merged onto a single logical adder resource by utilizing continuous carry chains. The patent maps several adder operations to share a common carry chain infrastructure, allowing multiple logical adders to be implemented using fewer physical adder resources, thereby improving logic utilization on the FPGA device.
Solution Approach 2:
The continuous carry chain is designed to serve multiple functions by supporting various adder configurations and operations. The same carry chain infrastructure can be used for different adder widths and arrangements, making the resource universal and adaptable to different multiplier designs while maintaining high utilization.
2Productivity
If adders are efficiently packed using continuous carry chains, then logic utilization is improved, but compilation time increases
Solution Approach 1:
The EDA tool performs preliminary analysis and identification of continuous carry chain opportunities during the synthesis stage. By detecting potential carry chain configurations early in the design process and preparing the mapping in advance, the tool optimizes adder packing before placement, reducing the computational burden during later compilation stages.
Solution Approach 2:
The synthesis tool automatically identifies and exploits continuous carry chain opportunities without requiring manual intervention or complex iterative optimization during placement. The tool self-services by detecting patterns in the netlist that can utilize carry chains and automatically mapping adders accordingly, streamlining the compilation process.
Data Source
AI summary
A method for designing a system on a target device includes identifying a length for a carry chain that is supported by predefined quanta of a resource on the target device. A plurality of logical adders is mapped onto a single logical adder implemented on the carry chain subject to the identified length to increase logic utilization in a design for the system.


