TRUNCATE.html -- ACL2 Version 6.3

### TRUNCATE

division returning an integer by truncating toward 0

    Major Section:  ACL2-BUILT-INS

    Example Forms:
    ACL2 !>(truncate 14 3)
    4
    ACL2 !>(truncate -14 3)
    -4
    ACL2 !>(truncate 14 -3)
    -4
    ACL2 !>(truncate -14 -3)
    4
    ACL2 !>(truncate -15 -3)
    5
    ACL2 !>(truncate 10/4 3/4)
    3

`(Truncate i j)` is the result of taking the quotient of `i` and `j` and dropping the fraction. For example, the quotient of `-14` by `3` is `-4 2/3`, so dropping the fraction `2/3`, we obtain a result for `(truncate -14 3)` of `-4`.

The guard for `(truncate i j)` requires that `i` and `j` are rational (real, in ACL2(r)) numbers and `j` is non-zero.

`Truncate` is a Common Lisp function. However, note that unlike Common Lisp, the ACL2 `truncate` function returns only a single value, Also see nonnegative-integer-quotient, which is appropriate for integers and may simplify reasoning, unless a suitable arithmetic library is loaded, but be less efficient for evaluation on concrete objects.

To see the ACL2 definition of this function, see pf.