Table 5 The impact of the step size of \(\sin \theta\) on the accuracy results of our proposed square root algorithm, assuming a 16-bit precision of \(\cos \theta\) values.
From: Novel seed generation and quadrature-based square rooting algorithms
Step size of \(\sin \theta\) | LUT size | MRE | Accuracy (bits) |
|---|---|---|---|
\(1 \times 10^{-2}\) | 128 B | 0.0017 | 9.2287 |
\(1 \times 10^{-3}\) | 1 KB | \(2.1683 \times 10^{-4}\) | 12.1711 |
\(1 \times 10^{-4}\) | 16 KB | \(5.7269 \times 10^{-5}\) | 14.0919 |
\(1 \times 10^{-5}\) | 128 KB | \(5.0547 \times 10^{-5}\) | 14.2720 |
\(1 \times 10^{-6}\) | 1MB | \(5.0130 \times 10^{-5}\) | 14.2840 |
