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Const-float

Const-float->fconst

Get the fconst field from a const-float.

Signature
(const-float->fconst x) → fconst
Arguments: x — Guard (constp x).
Returns: fconst — Type (fconstp fconst).

This is an ordinary field accessor created by fty::defprod.

Definitions and Theorems

Function: const-float->fconst$inline

(defun const-float->fconst$inline (x)
  (declare (xargs :guard (constp x)))
  (declare (xargs :guard (equal (const-kind x) :float)))
  (mbe :logic
       (b* ((x (and (equal (const-kind x) :float) x)))
         (fconst-fix (cdr x)))
       :exec (cdr x)))

Theorem: fconstp-of-const-float->fconst

(defthm fconstp-of-const-float->fconst
  (b* ((fconst (const-float->fconst$inline x)))
    (fconstp fconst))
  :rule-classes :rewrite)

Theorem: const-float->fconst$inline-of-const-fix-x

(defthm const-float->fconst$inline-of-const-fix-x
  (equal (const-float->fconst$inline (const-fix x))
         (const-float->fconst$inline x)))

Theorem: const-float->fconst$inline-const-equiv-congruence-on-x

(defthm const-float->fconst$inline-const-equiv-congruence-on-x
  (implies (const-equiv x x-equiv)
           (equal (const-float->fconst$inline x)
                  (const-float->fconst$inline x-equiv)))
  :rule-classes :congruence)

Theorem: const-float->fconst-when-wrong-kind

(defthm const-float->fconst-when-wrong-kind
  (implies (not (equal (const-kind x) :float))
           (equal (const-float->fconst x)
                  (fconst-fix nil))))