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• Sv::vl-expr.lisp

Vl-datatype-index-shift-amount

Signature

(vl-datatype-index-shift-amount x idx) → (mv err shift)

Arguments

x — Guard (vl-datatype-p x).

idx — Guard (sv::svex-p idx).

Returns

err — Type (iff (vl-msg-p err) err).

shift — Type (implies (not err) (sv::svex-p shift)).

Definitions and Theorems

Function: vl-datatype-index-shift-amount

(defun vl-datatype-index-shift-amount (x idx)
  (declare (xargs :guard (and (vl-datatype-p x)
                              (sv::svex-p idx))))
  (declare (xargs :guard (vl-datatype-resolved-p x)))
  (let ((__function__ 'vl-datatype-index-shift-amount))
    (declare (ignorable __function__))
    (b* (((mv err size msb lsb)
          (vl-datatype-slot-width/range x))
         ((when err) (mv err nil)))
      (mv nil
          (vl-index-shift-amount size msb lsb idx)))))

Theorem: return-type-of-vl-datatype-index-shift-amount.err

(defthm return-type-of-vl-datatype-index-shift-amount.err
  (b* (((mv ?err ?shift)
        (vl-datatype-index-shift-amount x idx)))
    (iff (vl-msg-p err) err))
  :rule-classes :rewrite)

Theorem: return-type-of-vl-datatype-index-shift-amount.shift

(defthm return-type-of-vl-datatype-index-shift-amount.shift
  (b* (((mv ?err ?shift)
        (vl-datatype-index-shift-amount x idx)))
    (implies (not err) (sv::svex-p shift)))
  :rule-classes :rewrite)

Theorem: vars-of-vl-datatype-index-shift-amount

(defthm vars-of-vl-datatype-index-shift-amount
  (b* (((mv ?err ?shift)
        (vl-datatype-index-shift-amount x idx)))
    (implies (and (not err)
                  (not (member v (sv::svex-vars idx))))
             (not (member v (sv::svex-vars shift))))))

Theorem: vl-datatype-index-shift-amount-of-vl-datatype-fix-x

(defthm vl-datatype-index-shift-amount-of-vl-datatype-fix-x
  (equal (vl-datatype-index-shift-amount (vl-datatype-fix x)
                                         idx)
         (vl-datatype-index-shift-amount x idx)))

Theorem: vl-datatype-index-shift-amount-vl-datatype-equiv-congruence-on-x

(defthm
   vl-datatype-index-shift-amount-vl-datatype-equiv-congruence-on-x
  (implies (vl-datatype-equiv x x-equiv)
           (equal (vl-datatype-index-shift-amount x idx)
                  (vl-datatype-index-shift-amount x-equiv idx)))
  :rule-classes :congruence)

Theorem: vl-datatype-index-shift-amount-of-svex-fix-idx

(defthm vl-datatype-index-shift-amount-of-svex-fix-idx
  (equal (vl-datatype-index-shift-amount x (sv::svex-fix idx))
         (vl-datatype-index-shift-amount x idx)))

Theorem: vl-datatype-index-shift-amount-svex-equiv-congruence-on-idx

(defthm vl-datatype-index-shift-amount-svex-equiv-congruence-on-idx
  (implies (sv::svex-equiv idx idx-equiv)
           (equal (vl-datatype-index-shift-amount x idx)
                  (vl-datatype-index-shift-amount x idx-equiv)))
  :rule-classes :congruence)