Major Section: PROGRAMMING
Example Forms: ACL2 !>(ceiling 14 3) 5 ACL2 !>(ceiling -14 3) -4 ACL2 !>(ceiling 14 -3) -4 ACL2 !>(ceiling -14 -3) 5 ACL2 !>(ceiling -15 -3) 5
(Ceiling i j)
is the result of taking the quotient of i
and
j
and returning the smallest integer that is at least as great as
that quotient. For example, the quotient of -14
by 3
is -4 2/3
, and
the smallest integer at least that great is -4
.
The guard for (ceiling i j)
requires that i
and j
are
rational (real, in ACL2(r)) numbers and j
is non-zero.
Ceiling
is a Common Lisp function. See any Common Lisp documentation for
more information. However, note that unlike Common Lisp, the ACL2
ceiling
function returns only a single value,