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-/** \page rounding-errors How to Avoid Rounding Errors
-
-(Probably, this is a standard algorithm, so if someone knows the name,
-drop me a note.)
-
-If something like
-
-\f[y_i = {x_i a \over b}\f]
-
-is to be calculated, and all numbers are integers, a naive
-implementation would result in something, for which
-
-\f[\sum y_i \ne {(\sum x_i) a \over b}\f]
-
-because of rounding errors, due to the integer division. This can be
-avoided by transforming the formula into
-
-\f[y_i = {(\sum_{j=0}^{j=i} x_j) a \over b} - \sum_{j=0}^{j=i-1} y_j\f]
-
-Of corse, when all \f$y_i\f$ are calculated in a sequence,
-\f$\sum_{j=0}^{j=i} x_j\f$ and \f$\sum_{j=0}^{j=i-1} y_j\f$ can be
-accumulated in the same loop. Regard this as sample:
-
-\code
-int n, x[n], a, b; // Should all be initialized.
-int y[n], cumX = 0, cumY = 0;
-
-for (int i = 0; i < n; i++) {
-   cumX += x[i]
-   y[i] = (cumX * a) / b - cumY;
-   cumY += y[i];
-}
-\endcode
-
-*/