Table 2 The impact of the step size of \(\sin \theta\) on the size of the lookup table and its utilization, assuming a 16-bit precision of \(\cos \theta\) values.

From: Novel seed generation and quadrature-based square rooting algorithms

Step size of \(\sin \theta\)

Number of samples of \(\sin \theta\)

LUT size

Accessed entries

Utilization (%)

\(1\times 10^{-2}\)

51

128 B

24

37.50

\(1 \times 10^{-3}\)

501

1 KB

100

19.53

\(1 \times 10^{-4}\)

5001

16 KB

635

7.75

\(1 \times 10^{-5}\)

50,001

128 KB

5929

9.05

\(1 \times 10^{-6}\)

500,001

1 MB

58,870

11.23