Floor function

The floor function rounds the argument to the next lowest integer.

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

For example, if the formula for an expression is FLOOR(5.9) and the unit of length for the expression is millimeters, the software returns 5 mm. If the unit of length for the expression is meters, the software returns 5 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 lowest integer.

For example, if the formula for an expression is FLOOR(5.0096[m]) and the unit of length for the expression is millimeters, the software returns 5009 mm. If the unit of length for the expression is meters, the software returns 5 m. Thus, the result depends on the units for the expression.

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

When you specify FLOOR(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 lowest integer.

4. Multiplies the integer by v2.

For example, if the formula for an expression is FLOOR(5.009[m],BASE,20[mm]) and the unit of length for the expression is millimeters, the software returns 5000 mm. If the unit of length for the expression is meters, the software returns 5 m. Because 5000 mm and 5 m are physically equivalent, the result is independent of the units for the expression.

Floor function, Simcenter 3D 2021.1 Series

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