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Unit Conversion Table

SQLEngineering

SQLEngineering
Looking to calculate the most suitable unit of measurement for a list of substances where the substances are given in differing (but compatible) unit volumes. Unit Conversion Table The unit

Looking to calculate the most suitable unit of measurement for a list of substances where the substances are given in differing (but compatible) unit volumes.

Unit Conversion Table

The unit conversion table stores various units and how those units relate:

Sorting by the coefficient shows that the parent_id links a child unit to its numeric superior.

This table can be created in PostgreSQL using:

There should be a foreign key from parent_id to id .

Substance Table

The Substance Table lists specific quantities of substances. For example:

The table might resemble:

Problem

How would you create a query that finds a measurement to represent the sum of the substances using the fewest digits that has a whole number (and optionally real component)?

For example, how would you return:

Because 112 has fewer real digits than 1.12 and 112 is smaller than 1120. Yet in certain situations using real digits is shorter -- such as 1.1 litres vs 110 centilitres.

Mostly, I'm having troubles picking the correct unit based on the recursive relation.

Source Code

So far I have (obviously non-working):

Ideas

Does this require using log₁₀ to determine the number of digits?

Constraints

1. Modify unit_conversion table

Or, if you cannot modify the table, just add the column exp10 for "exponent base 10", which coincides with number of digits to shift in the decimal system:

2. Write function

to calculate the number of positions to shift left or right:

3. Query

• JOIN substance and unit tables.
• Calculate ideal number of positions to shift with function f_shift_comma() from above.
• LEFT JOIN to the unit table a second time to find units close to the optimum.
• Pick the closest unit with DISTINCT ON () and ORDER BY .
• If no better unit is found, fall back to what we had with COALESCE() .
• This should cover all corner cases and be pretty fast .

http://dba.stackexchange.com/questions/45246/convert-units-of-measu...
SQLEngineering