Translation of element access in multiarrays

Figure 4.14 represents a general schema for translating element access. Here we only need to consider the case where the array reference is a multiarray. The macro OFFSET is defined as

$$\begin{minipage}[t]{\linewidth}\small\begin{tabbing}$$OFFSET$$\left(a, e_0, \ldots, e_{R-1}\right) \equiv$\ \\ \\ \verb$ $$... ...({\bf T}_{R-1}\left[{a}\right], e_{R-1}\right)$ \end{tabbing} \end{minipage}$$

There are three cases for the macro OFFSET_DIM depending on whether the subscript argument is a distributed index, a shifted index, or an integer subscripts (in a sequential dimension). We will only illustrate the case where $e_r$ is a distributed index $i$. Then

$$\begin{minipage}[t]{\linewidth}\small\begin{tabbing} $\mbo... ...erb$.stride * $$\mbox{\it sub}$ \end{tabbing} \end{minipage}$$

where sub is the local subscript variable for this index (see the last section).

Figure 4.15: Translation of array section with no scalar subscripts.

SOURCE:

$$\begin{minipage}[t]{\linewidth}\small\begin{tabbing} $v$\verb$ = $$a$\verb$ [[$$subs$$_0 \verb$, $ \ldots \verb$,$$subs$$_{R-1}$\verb$]] ;$ \end{tabbing} \end{minipage}$$

TRANSLATION:

$$\begin{minipage}[t]{\linewidth}\small\begin{tabbing} \verb$int $... ...eft[{a}\right]$\verb$.group, $$b$\verb$) ;$ \\ \end{tabbing} \end{minipage}$$

where: