Sum

A sum() method is a reduction operation for adding together all elements of a distributed array. It has two prototypes

and

where the variable $t$ runs over all primitive types other than boolean, and the notation $t$ # means a multiarray of arbitrary rank, with elements of type $t$. The second form takes an extra boolean array aligned with the source array and ignores all elements of source for which the corresponding element of mask is false. The sum method is implemented by a schedule object with HPspmd class Sum$t$. Each primitive types other than boolean has its own schedule class. This class has two constructors with arguments identical to the method above, and has one public method with no arguments called execute(), which executes the schedule. The effective public interface of the Sum$t$ class is

$$\begin{minipage}[t]{\linewidth}\small\verb$ public class Sum$$t$\... ...$$t$\verb$ execute () { ... }$\\ \verb$ . . .$\\ \verb$ }$ \end{minipage}$$

The source array is source. It will have elements of type $t$. The mask array is mask.