Algorithm 4. The quadrature-based method to compute the square root value of $x$.

Inputs: $x,s_0$ Output $: s$$// \mathrm{square} \mathrm{root} \mathrm{of} x$. Initialization: $BC\leftarrow s_0$ $CD\leftarrow x/BC$ $M\leftarrow 0.5\times (BC+CD)$ $CM\leftarrow \mathrm{B}\mathrm{C}-\mathrm{M}$ $\sin \theta \leftarrow CM/M$ $\cos \theta \leftarrow$$\mathrm{retrieved} \mathrm{from} \mathrm{a} \mathrm{lookup} \mathrm{table} \mathrm{utilizing} \sin \theta .$ $s\leftarrow \cos \theta \times M$