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Vl-value

Vl-value-fix

Fixing function for vl-value structures.

Signature
(vl-value-fix x) → new-x
Arguments: x — Guard (vl-value-p x).
Returns: new-x — Type (vl-value-p new-x).

Definitions and Theorems

Function: vl-value-fix$inline

(defun vl-value-fix$inline (x)
 (declare (xargs :guard (vl-value-p x)))
 (let ((__function__ 'vl-value-fix))
  (declare (ignorable __function__))
  (mbe
   :logic
   (common-lisp::case (vl-value-kind x)
    (:vl-constint
     (b*
      ((origwidth (pos-fix (std::prod-car (std::prod-car (cdr x)))))
       (value (nfix (std::prod-cdr (std::prod-car (cdr x)))))
       (origsign
          (vl-exprsign-fix (std::prod-car (std::prod-cdr (cdr x)))))
       (wasunsized
          (acl2::bool-fix (std::prod-cdr (std::prod-cdr (cdr x))))))
      (let ((value (acl2::loghead (pos-fix origwidth)
                                  value)))
       (hons
           :vl-constint
           (std::prod-hons (std::prod-hons origwidth value)
                           (std::prod-hons origsign wasunsized))))))
    (:vl-weirdint
     (b*
      ((bits (vl-bitlist-fix (std::prod-car (cdr x))))
       (origsign
          (vl-exprsign-fix (std::prod-car (std::prod-cdr (cdr x)))))
       (wasunsized
          (acl2::bool-fix (std::prod-cdr (std::prod-cdr (cdr x))))))
      (let ((bits (vl-bitlist-nonempty-fix bits)))
       (hons
           :vl-weirdint
           (std::prod-hons bits
                           (std::prod-hons origsign wasunsized))))))
    (:vl-extint (b* ((value (vl-bit-fix (cdr x))))
                  (hons :vl-extint value)))
    (:vl-real (b* ((value (str-fix (cdr x))))
                (cons :vl-real value)))
    (:vl-time
         (b* ((quantity (str-fix (std::prod-car (cdr x))))
              (units (vl-timeunit-fix (std::prod-cdr (cdr x)))))
           (hons :vl-time (std::prod-hons quantity units))))
    (:vl-string (b* ((value (str-fix (cdr x))))
                  (cons :vl-string value))))
   :exec x)))

Theorem: vl-value-p-of-vl-value-fix

(defthm vl-value-p-of-vl-value-fix
  (b* ((new-x (vl-value-fix$inline x)))
    (vl-value-p new-x))
  :rule-classes :rewrite)

Theorem: vl-value-fix-when-vl-value-p

(defthm vl-value-fix-when-vl-value-p
  (implies (vl-value-p x)
           (equal (vl-value-fix x) x)))

Function: vl-value-equiv$inline

(defun vl-value-equiv$inline (acl2::x acl2::y)
  (declare (xargs :guard (and (vl-value-p acl2::x)
                              (vl-value-p acl2::y))))
  (equal (vl-value-fix acl2::x)
         (vl-value-fix acl2::y)))

Theorem: vl-value-equiv-is-an-equivalence

(defthm vl-value-equiv-is-an-equivalence
  (and (booleanp (vl-value-equiv x y))
       (vl-value-equiv x x)
       (implies (vl-value-equiv x y)
                (vl-value-equiv y x))
       (implies (and (vl-value-equiv x y)
                     (vl-value-equiv y z))
                (vl-value-equiv x z)))
  :rule-classes (:equivalence))

Theorem: vl-value-equiv-implies-equal-vl-value-fix-1

(defthm vl-value-equiv-implies-equal-vl-value-fix-1
  (implies (vl-value-equiv acl2::x x-equiv)
           (equal (vl-value-fix acl2::x)
                  (vl-value-fix x-equiv)))
  :rule-classes (:congruence))

Theorem: vl-value-fix-under-vl-value-equiv

(defthm vl-value-fix-under-vl-value-equiv
  (vl-value-equiv (vl-value-fix acl2::x)
                  acl2::x)
  :rule-classes (:rewrite :rewrite-quoted-constant))

Theorem: equal-of-vl-value-fix-1-forward-to-vl-value-equiv

(defthm equal-of-vl-value-fix-1-forward-to-vl-value-equiv
  (implies (equal (vl-value-fix acl2::x) acl2::y)
           (vl-value-equiv acl2::x acl2::y))
  :rule-classes :forward-chaining)

Theorem: equal-of-vl-value-fix-2-forward-to-vl-value-equiv

(defthm equal-of-vl-value-fix-2-forward-to-vl-value-equiv
  (implies (equal acl2::x (vl-value-fix acl2::y))
           (vl-value-equiv acl2::x acl2::y))
  :rule-classes :forward-chaining)

Theorem: vl-value-equiv-of-vl-value-fix-1-forward

(defthm vl-value-equiv-of-vl-value-fix-1-forward
  (implies (vl-value-equiv (vl-value-fix acl2::x)
                           acl2::y)
           (vl-value-equiv acl2::x acl2::y))
  :rule-classes :forward-chaining)

Theorem: vl-value-equiv-of-vl-value-fix-2-forward

(defthm vl-value-equiv-of-vl-value-fix-2-forward
  (implies (vl-value-equiv acl2::x (vl-value-fix acl2::y))
           (vl-value-equiv acl2::x acl2::y))
  :rule-classes :forward-chaining)

Theorem: vl-value-kind$inline-of-vl-value-fix-x

(defthm vl-value-kind$inline-of-vl-value-fix-x
  (equal (vl-value-kind$inline (vl-value-fix x))
         (vl-value-kind$inline x)))

Theorem: vl-value-kind$inline-vl-value-equiv-congruence-on-x

(defthm vl-value-kind$inline-vl-value-equiv-congruence-on-x
  (implies (vl-value-equiv x x-equiv)
           (equal (vl-value-kind$inline x)
                  (vl-value-kind$inline x-equiv)))
  :rule-classes :congruence)

Theorem: consp-of-vl-value-fix

(defthm consp-of-vl-value-fix
  (consp (vl-value-fix x))
  :rule-classes :type-prescription)