Ceiling function

The ceiling function rounds the argument to the next highest integer.

The format for the ceiling function is CEILING(v), where v is a dimensional or dimensionless argument. If the argument is dimensionless, the software rounds the argument to the next highest integer and assigns the units for the expression to the rounded result.

For example, if the formula for an expression is CEILING(5.9) and the unit of length for the expression is millimeters, the software returns 6 mm. If the unit of length for the expression is meters, the software returns 6 m. Thus, the result depends on the units for the expression.

If the argument is dimensional, the software converts the argument to the units of the expression and then rounds the converted value of the argument to the next highest integer.

For example, if the formula for an expression is CEILING(5.0096[m]) and the unit of length for the expression is millimeters, the software returns 5010 mm. If the unit of length for the expression is meters, the software returns 6 m. Thus, the result depends on the units for the expression.

An alternate form of the ceiling function produces results that are independent of the units for the expression. The format for this function is CEILING(v1,BASE,v2), where v1 and v2 have the same dimensionality, or are both dimensionless.

When you specify CEILING(v1,BASE,v2), the software does the following:

1. Converts v1 and v2 to base units.

2. Computes the ratio of v1'/v2', where v1' and v2' are the values of v1 and v2 converted to base units.

3. Rounds the computed ratio to the next highest integer.

4. Multiplies the integer by v2.

For example, if the formula for an expression is CEILING(5.009[m],BASE,20[mm]) and the unit of length for the expression is millimeters, the software returns 5020 mm. If the unit of length for the expression is meters, the software returns 5.02 m. Because 5020 mm and 5.02 m are physically equivalent, the result is independent of the units for the expression.

Ceiling function, Simcenter 3D 2021.1 Series

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