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Excel lets you create a chart either on its own chart sheet or as a chart object on a worksheet Using a separate chart sheet is often the better choice, as it gives you more space for creating and editing the chart, but placing a chart object on a worksheet can be useful when you need to see the chart together with its source data The first step in creating a chart from AppleScript is to either choose data and then add a chart sheet to the workbook, or identify a chart object to a worksheet and then tell it which source data to use You can then set the chart type, format the axes, and add other items such as a chart title and a legend

SELECT MIN(seqval) AS start_range, MAX(seqval) AS end_range FROM (SELECT seqval, seqval - ROW_NUMBER() OVER(ORDER BY seqval) AS grp FROM dbo.NumSeq) AS D GROUP BY grp;

S&P 500 Index (Weekly Bar)

The easiest way to create a new chart sheet and add a chart to it is to select the source data for the chart first Just as when you re working interactively, Excel then grabs that data and uses it for the chart, automatically linking the two (If you prefer, you can build the chart by adding data series, as described later in this chapter) To create a new chart sheet, use a make new command to create a new object of the chart sheet class As when creating a worksheet, use either at or in and the name or identity of the workbook in which you want to create the chart For example, the following statement adds a chart sheet to the active workbook:

This solution is similar to solution 2 in the sense that it also calculates a group identifier that uniquely identifies the island; however this solution is dramatically simpler and more efficient The group identifier is calculated as the difference between the sequence value and a row number that represents the position of the sequence value Within an island, both the sequence values and the row numbers keep incrementing by the fixed interval of 1 Therefore, the difference between the two is constant When moving on to the next island, the sequence value increases by more than 1, while the row number increases by 1 Therefore, the difference becomes higher than the previous island Each island will have a higher difference than the previous island.

Note that the last two characteristics that I described of this difference (constant within an island, and different for different islands) are the exact requirements we had for the group identifier Hence, you can use this difference as the group identifier As in solution 2, after the group identifier is calculated, you group the data by this identifier, and for each group, return the minimum and maximum values For performance, this solution is efficient because it required a single ordered scan of the index to calculate the row numbers, and an aggregate operator for the grouping activity It ran for 10 seconds against the BigNumSeq table on my system and incurred 16,123 logical reads To apply this solution to a temporal sequence, subtract from the sequence value as many temporal intervals as the row number representing the position of the sequence value.

By default, Excel places the chart sheet before the current worksheet in the workbook To choose a different position, you can use one of these designations:

1600 1400 1200 1000 800

The logic is similar to the integer sequence, but instead of getting a unique integer per island, you will get a unique time stamp for each island For example, if the interval of the temporal sequence is 4 hours, substitute the expression seqval ROW_NUMBER() OVER(ORDER BY seqval) AS grp in listing 9 with the expression DATEADD(hour, -4 * ROW_NUMBER() OVER(ORDER BY seqval), seqval) AS grp For a numeric sequence with duplicates, the trick is to have the same rank for all duplicate occurrences This can be achieved by using the DENSE_RANK function instead of ROW_NUMBER Simply substitute the expression seqval - ROW_NUMBER() OVER(ORDER BY seqval) AS grp in listing 9 with the expression seqval - DENSE_RANK() OVER(ORDER BY seqval) AS grp..