Dimensionality of Expressions

An expression is dimensioned by a union of the dimensions of all the variables, dimensions, relations, formulas, qualified data references, and functions in the expression.

Item	Dimensioned By	Comments
Variable Relation Formula	The dimensions listed in the definition of the object	Example 1: If the price variable is dimensioned by month and product, then the expression price * 1.2 is also dimensioned by month and product. Example 2: If the units variable is dimensioned by month, product, and district, then the expression units * price is dimensioned by month, product, and district (even though the dimensions of the price variable are month and product only).
Qualified data reference	All of the dimensions of the associated object, except for the dimensions being qualified	Qualified data references are described in "Specifying a Single Value for the Dimension of an Expression".
Function	In most cases, the union of the dimensions of its input arguments	Unless otherwise noted in the OLAP DML Reference, when you specify breakout dimensions or relations in an aggregation function, you change the dimensionality of the expression. The first dimension that you specify as a breakout dimension is the slowest varying and the last dimension that you specify is the fastest varying.

Determining the Dimensions of an Expression

You can find out the dimensions of an expression with the PARSE command and the INFO function. PARSE evaluates the text of an expression; the INFO function indicates how the expression is interpreted.

This example illustrates the use of the DIMENSION keyword with the INFO function to retrieve the dimensions of the expression just analyzed by the PARSE command. The following commands produce the output shown below them.

PARSE 'TOTAL(sales region)'

SHOW INFO(PARSE DIMENSION)
REGION

How Dimension Status Affects the Results of Expressions

The number of values an expression yields depends on the dimensions of the expression and the status of those dimensions. An expression yields one data value for each combination of dimension values in the current status. For example, if three dimension values are in status for month, and two for product, then the expression price gt 100 results in six values (3 times 2).

Thus, to get the desired results, you must ensure that the dimensions of an expression are limited to the range of data you want to consider. In addition, you must take into consideration any PERMIT commands that might limit access to the dimensions of the data.