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Integer-ranges

Slong-max

Maximum ACL2 integer value of type signed long.

Signature
(slong-max) → slong-max
Returns: slong-max — Type (integerp slong-max).

Definitions and Theorems

Function: slong-max

(defun slong-max nil
  (declare (xargs :guard t))
  (let ((__function__ 'slong-max))
    (declare (ignorable __function__))
    (1- (expt 2 (1- (long-bits))))))

Theorem: integerp-of-slong-max

(defthm integerp-of-slong-max
  (b* ((slong-max (slong-max)))
    (integerp slong-max))
  :rule-classes :type-prescription)

Theorem: slong-max-bound

(defthm slong-max-bound
  (>= (slong-max) 2147483647)
  :rule-classes :linear)

Subtopics

Ushort-max-vs-slong-max: Relation between unsigned char and signed int maxima.
Uint-max-vs-slong-max: Relation between unsigned int and signed long maxima.
Uchar-max-vs-slong-max: Relation between unsigned char and signed int maxima.
Slong-max-<=-sllong-max: General relation between signed long and signed long long maxima.
Slong-max-vs-sllong-max: Relation between signed long and signed long long maxima.
Sint-max-<=-slong-max: General relation between signed int and signed long maxima.
Sint-max-vs-slong-max: Relation between signed int and signed long maxima.