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Implementation-environments

Ienv->slong-max

The ACL2 integer value of LONG_MAX [C17:5.2.4.2.1].

Signature
(ienv->slong-max ienv) → max
Arguments: ienv — Guard (ienvp ienv).
Returns: max — Type (posp max).

Definitions and Theorems

Function: ienv->slong-max

(defun ienv->slong-max (ienv)
  (declare (xargs :guard (ienvp ienv)))
  (1- (expt 2 (1- (* 8 (ienv->long-bytes ienv))))))

Theorem: posp-of-ienv->slong-max

(defthm posp-of-ienv->slong-max
  (b* ((max (ienv->slong-max ienv)))
    (posp max))
  :rule-classes :rewrite)

Theorem: ienv->slong-max-type-prescription

(defthm ienv->slong-max-type-prescription
  (b* ((common-lisp::?max (ienv->slong-max ienv)))
    (and (posp max) (> max 1)))
  :rule-classes :type-prescription)

Theorem: ienv->slong-max-correct

(defthm ienv->slong-max-correct
  (equal (ienv->slong-max ienv)
         (c::ienv->slong-max (ldm-ienv ienv))))

Theorem: ienv->slong-max-of-ienv-fix-ienv

(defthm ienv->slong-max-of-ienv-fix-ienv
  (equal (ienv->slong-max (ienv-fix ienv))
         (ienv->slong-max ienv)))

Theorem: ienv->slong-max-ienv-equiv-congruence-on-ienv

(defthm ienv->slong-max-ienv-equiv-congruence-on-ienv
  (implies (ienv-equiv ienv ienv-equiv)
           (equal (ienv->slong-max ienv)
                  (ienv->slong-max ienv-equiv)))
  :rule-classes :congruence)