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Representation-of-integers

Schar-fix

Fixer for values of type signed char.

Signature
(schar-fix x) → fixed-x
Arguments: x — Guard (scharp x).
Returns: fixed-x — Type (scharp fixed-x).

Definitions and Theorems

Function: schar-fix

(defun schar-fix (x)
  (declare (xargs :guard (scharp x)))
  (let ((__function__ 'schar-fix))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((get (schar-integer-fix (std::da-nth 0 (cdr x)))))
           (cons :schar (list get)))
         :exec x)))

Theorem: scharp-of-schar-fix

(defthm scharp-of-schar-fix
  (b* ((fixed-x (schar-fix x)))
    (scharp fixed-x))
  :rule-classes :rewrite)

Theorem: schar-fix-when-scharp

(defthm schar-fix-when-scharp
  (implies (scharp x)
           (equal (schar-fix x) x)))