Home > Article > Backend Development > How can double-precision arithmetic be emulated using single-precision floats in embedded hardware systems with limited precision?
Question:
An embedded hardware system with limited floating-point precision requires the emulation of double-precision arithmetic using single-precision floats. Specifically, a 64-bit double-precision addition and comparison are needed.
Addition:
The addition process raises complexities in determining the base and carry detection mechanism. What approach should be used, and how can the carry be handled?
Comparison:
The comparison operation can be implemented using lexicographic ordering.
Background:
The objective is to obtain additional significant digits rather than extending the exponent range.
Answer:
Double-Float Emulation
Double-float or float-float is a technique that utilizes pairs of single-precision numbers to simulate double-precision precision. While this provides enhanced precision, it comes at the expense of reduced exponent range.
Recommended Resources
For further guidance on double-float emulation, refer to these technical papers:
These papers provide insights into adapting float-float techniques to various platforms, including embedded systems.
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