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• Floatx-value-fns

Floatx-value-fix

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

Signature

(floatx-value-fix x) → fixed-x

Arguments

x — Guard (floatx-valuep x).

Returns

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

Definitions and Theorems

Function: floatx-value-fix

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

Theorem: floatx-valuep-of-floatx-value-fix

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

Theorem: floatx-value-fix-when-floatx-valuep

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