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predicates produce incorrect cardinalities because the numeric and character versions of the information have huge gaps in them. Oracle is aware that 1 April 2003 is one day after 31 March 2003, but cannot possibly apply the same logic when comparing 20030401 to 20030331, or '20030401' to '20030331'. As we saw in 6, a query with a predicate of where n1 between 20021230 and 20030105 produced a cardinality of 396 in Oracle 9i, although we know that the query is supposed to report 7 days, and the equivalent query against the genuine date column produced a cardinality of 8. When we built a histogram of 120 buckets, the query against the numeric column got a lot closer, with an estimated cardinality of 15 rows. We are now going to see why. In the Getting Started section of this chapter, I showed an SQL statement you could run against the user_tab_histograms table to show the widths and heights of the bars that the histogram data represented. The version of date_oddity.sql that goes with this chapter does the same for the 120-bucket histogram against the numeric data, and a critical section of the results look like this: BUCKET LOW_VAL HIGH_VAL WIDTH HEIGHT ---------- ---------- ---------- ---------- ---------68 20021028 20021112 84 .1813 69 20021112 20021127 15 1.015 70 20021127 20021212 85 .1791 71 20021212 20021227 15 1.015 72 20021227 20030111 8884 .0017 73 20030111 20030126 15 1.015 74 20030126 20030210 84 .1813 75 20030210 20030225 15 1.015 76 20030225 20030312 87 .175 77 20030312 20030327 15 1.015 As you can see, the histogram manages to give Oracle a better picture of the data. There is clearly a very big gap with some very thinly spread data between the numbers 20021227 and 20030111. This is the thing that people would expect because they know about the end-ofyear gap, but that is a piece of human-oriented information that is not available to the computer without the assistance of the histogram. Taking the large-scale view, which loses the detail about the months, the histogram gives Oracle a graph of the data (part 3 of Figure 7-2) that allows it to come close to the right answer. Similarly, the histogram shows that from the end of each month to the beginning (actually, with our bucket size, the middle) of each month, the data is a little thin, but there is approximately one row per day for the rest of the month. Of course, looking at the first line in the preceding list, we know that 20021112 is meant to be just 14 days after 20021028, but Oracle thinks there are 84 days (numbers) that need to share the 14 rows from our original table. The arithmetic for our query falls completely into bucket 72, so the optimizer uses the standard formula for selectivity, but using the endpoint values from the bucket. We have a between clause, which means we have to allow for a correction factor at both ends of the range.
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