— Function: float number

This returns number converted to floating point. If number is already a floating point number, float returns it unchanged.

— Function: truncate number

This returns number, converted to an integer by rounding towards zero.

          (truncate 1.2)
               => 1
          (truncate 1.7)
               => 1
          (truncate -1.2)
               => -1
          (truncate -1.7)
               => -1
     

— Function: floor number &optional divisor

This returns number, converted to an integer by rounding downward (towards negative infinity).

If divisor is specified, floor divides number by divisor and then converts to an integer; this uses the kind of division operation that corresponds to mod, rounding downward. An arith-error results if divisor is 0.

          (floor 1.2)
               => 1
          (floor 1.7)
               => 1
          (floor -1.2)
               => -2
          (floor -1.7)
               => -2
          (floor 5.99 3)
               => 1
     

— Function: ceiling number

This returns number, converted to an integer by rounding upward (towards positive infinity).

          (ceiling 1.2)
               => 2
          (ceiling 1.7)
               => 2
          (ceiling -1.2)
               => -1
          (ceiling -1.7)
               => -1
     

— Function: round number

This returns number, converted to an integer by rounding towards the nearest integer. Rounding a value equidistant between two integers may choose the integer closer to zero, or it may prefer an even integer, depending on your machine.

          (round 1.2)
               => 1
          (round 1.7)
               => 2
          (round -1.2)
               => -1
          (round -1.7)
               => -2