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• Doublex-value-fns

Doublex-value-fix

Fixer of Java double values in the double-extended-exponent value set.

Signature

(doublex-value-fix x) → fixed-x

Arguments

x — Guard (doublex-valuep x).

Returns

fixed-x — Type (doublex-valuep fixed-x), given (doublex-param).

Definitions and Theorems

Function: doublex-value-fix

(defun doublex-value-fix (x)
  (declare (xargs :guard (doublex-valuep x)))
  (let ((__function__ 'doublex-value-fix))
    (declare (ignorable __function__))
    (mbe :logic
         (if (doublex-valuep x)
             x
           (list :doublex (doublex-value-abs-pos-zero)))
         :exec x)))

Theorem: doublex-valuep-of-doublex-value-fix

(defthm doublex-valuep-of-doublex-value-fix
  (implies (doublex-param)
           (b* ((fixed-x (doublex-value-fix x)))
             (doublex-valuep fixed-x)))
  :rule-classes :rewrite)

Theorem: doublex-value-fix-when-doublex-valuep

(defthm doublex-value-fix-when-doublex-valuep
  (implies (doublex-valuep x)
           (equal (doublex-value-fix x) x)))