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Floor

Returns the maximal integer less than or equal to a given number.

Syntax:

y := Floor(x);

integer
  y  
real
  x  

See also:  Trunc, Round, Ceil

Description:

Given an x in Z, Q or R the function returns \max{ k\inZ : k <= x}. The computation is done in the current precision of the real (complex) field.


Example:


kash> Floor(3);
3
kash> Floor(-3);
-3
kash> Floor(3.5);
3
kash> Floor(-3.5);
> -4


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