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Vl-expr-expandsizes

Vl-string-atom-expandsizes

Propagate the final width and type of an expression into a weird integer atom.

Signature
(vl-string-atom-expandsizes x finalwidth finaltype ctx warnings) → (mv successp warnings new-x)
Arguments: x — Guard (vl-expr-p x).; finalwidth — Guard (natp finalwidth).; finaltype — Guard (vl-exprtype-p finaltype).; ctx — Guard (vl-context-p ctx).; warnings — Guard (vl-warninglist-p warnings).
Returns: successp — Type (booleanp successp).; warnings — Type (vl-warninglist-p warnings).; new-x — Type (vl-expr-p new-x).

Definitions and Theorems

Function: vl-string-atom-expandsizes

(defun vl-string-atom-expandsizes
       (x finalwidth finaltype ctx warnings)
 (declare (xargs :guard (and (vl-expr-p x)
                             (natp finalwidth)
                             (vl-exprtype-p finaltype)
                             (vl-context-p ctx)
                             (vl-warninglist-p warnings))))
 (declare (xargs :guard (and (vl-atom-p x)
                             (vl-fast-string-p (vl-atom->guts x)))))
 (let ((__function__ 'vl-string-atom-expandsizes))
  (declare (ignorable __function__))
  (b*
   ((x (vl-expr-fix x))
    (finalwidth (lnfix finalwidth))
    (finaltype (vl-exprtype-fix finaltype))
    (ctx (vl-context-fix ctx))
    (guts (vl-atom->guts x))
    ((vl-string guts) guts)
    (origwidth (* 8 (length guts.value)))
    ((when (> origwidth finalwidth))
     (mv
      nil
      (fatal
       :type :vl-programming-error
       :msg
       "~a0: origwidth > finalwidth when expanding ~a1. This ~
                         indicates a serious bug in our sizing code."
       :args (list ctx x))
      x))
    ((unless (eq finaltype :vl-unsigned))
     (mv
      nil
      (fatal
       :type :vl-programming-error
       :msg
       "~a0: finaltype is ~s1 when expanding ~a2.  This ~
                         indicates a serious bug in our sizing/typing code."
       :args (list ctx finaltype x))
      x))
    (inner (change-vl-atom x
                           :finalwidth origwidth
                           :finaltype :vl-unsigned))
    ((mv successp warnings new-x)
     (vl-expandsizes-zeroextend inner finalwidth ctx warnings))
    ((unless successp) (mv nil warnings x)))
   (mv t warnings new-x))))

Theorem: booleanp-of-vl-string-atom-expandsizes.successp

(defthm booleanp-of-vl-string-atom-expandsizes.successp
  (b* (((mv ?successp ?warnings ?new-x)
        (vl-string-atom-expandsizes
             x finalwidth finaltype ctx warnings)))
    (booleanp successp))
  :rule-classes :type-prescription)

Theorem: vl-warninglist-p-of-vl-string-atom-expandsizes.warnings

(defthm vl-warninglist-p-of-vl-string-atom-expandsizes.warnings
  (b* (((mv ?successp ?warnings ?new-x)
        (vl-string-atom-expandsizes
             x finalwidth finaltype ctx warnings)))
    (vl-warninglist-p warnings))
  :rule-classes :rewrite)

Theorem: vl-expr-p-of-vl-string-atom-expandsizes.new-x

(defthm vl-expr-p-of-vl-string-atom-expandsizes.new-x
  (b* (((mv ?successp ?warnings ?new-x)
        (vl-string-atom-expandsizes
             x finalwidth finaltype ctx warnings)))
    (vl-expr-p new-x))
  :rule-classes :rewrite)

Theorem: warning-irrelevance-of-vl-string-atom-expandsizes

(defthm warning-irrelevance-of-vl-string-atom-expandsizes
 (let
  ((ret1 (vl-string-atom-expandsizes
              x finalwidth finaltype ctx warnings))
   (ret2
       (vl-string-atom-expandsizes x finalwidth finaltype nil nil)))
  (implies (syntaxp (not (and (equal ctx ''nil)
                              (equal warnings ''nil))))
           (and (equal (mv-nth 0 ret1) (mv-nth 0 ret2))
                (equal (mv-nth 2 ret1)
                       (mv-nth 2 ret2))))))

Theorem: no-change-loserp-of-vl-string-atom-expandsizes

(defthm no-change-loserp-of-vl-string-atom-expandsizes
  (let ((ret (vl-string-atom-expandsizes
                  x finalwidth finaltype ctx warnings)))
    (implies (not (mv-nth 0 ret))
             (equal (mv-nth 2 ret)
                    (vl-expr-fix x)))))

Theorem: vl-expr-welltyped-p-of-vl-string-atom-expandsizes

(defthm vl-expr-welltyped-p-of-vl-string-atom-expandsizes
  (let ((ret (vl-string-atom-expandsizes
                  x finalwidth finaltype ctx warnings)))
    (implies (and (mv-nth 0 ret)
                  (force (vl-atom-p x))
                  (force (vl-string-p (vl-atom->guts x))))
             (vl-expr-welltyped-p (mv-nth 2 ret)))))

Theorem: vl-expr->finalwidth-of-vl-string-atom-expandsizes

(defthm vl-expr->finalwidth-of-vl-string-atom-expandsizes
  (let ((ret (vl-string-atom-expandsizes
                  x finalwidth finaltype ctx warnings)))
    (implies (and (mv-nth 0 ret)
                  (force (vl-atom-p x))
                  (force (vl-string-p (vl-atom->guts x))))
             (equal (vl-expr->finalwidth (mv-nth 2 ret))
                    (nfix finalwidth)))))

Theorem: vl-expr->finaltype-of-vl-string-atom-expandsizes

(defthm vl-expr->finaltype-of-vl-string-atom-expandsizes
  (let ((ret (vl-string-atom-expandsizes
                  x finalwidth finaltype ctx warnings)))
    (implies (and (mv-nth 0 ret)
                  (force (vl-atom-p x))
                  (force (vl-string-p (vl-atom->guts x))))
             (equal (vl-expr->finaltype (mv-nth 2 ret))
                    (vl-exprtype-fix finaltype)))))

Theorem: vl-string-atom-expandsizes-of-vl-expr-fix-x

(defthm vl-string-atom-expandsizes-of-vl-expr-fix-x
 (equal
  (vl-string-atom-expandsizes (vl-expr-fix x)
                              finalwidth finaltype ctx warnings)
  (vl-string-atom-expandsizes x finalwidth finaltype ctx warnings)))

Theorem: vl-string-atom-expandsizes-vl-expr-equiv-congruence-on-x

(defthm vl-string-atom-expandsizes-vl-expr-equiv-congruence-on-x
 (implies
  (vl-expr-equiv x x-equiv)
  (equal
    (vl-string-atom-expandsizes x finalwidth finaltype ctx warnings)
    (vl-string-atom-expandsizes x-equiv
                                finalwidth finaltype ctx warnings)))
 :rule-classes :congruence)

Theorem: vl-string-atom-expandsizes-of-nfix-finalwidth

(defthm vl-string-atom-expandsizes-of-nfix-finalwidth
 (equal
  (vl-string-atom-expandsizes x (nfix finalwidth)
                              finaltype ctx warnings)
  (vl-string-atom-expandsizes x finalwidth finaltype ctx warnings)))

Theorem: vl-string-atom-expandsizes-nat-equiv-congruence-on-finalwidth

(defthm
      vl-string-atom-expandsizes-nat-equiv-congruence-on-finalwidth
 (implies
  (acl2::nat-equiv finalwidth finalwidth-equiv)
  (equal
    (vl-string-atom-expandsizes x finalwidth finaltype ctx warnings)
    (vl-string-atom-expandsizes x finalwidth-equiv
                                finaltype ctx warnings)))
 :rule-classes :congruence)

Theorem: vl-string-atom-expandsizes-of-vl-exprtype-fix-finaltype

(defthm vl-string-atom-expandsizes-of-vl-exprtype-fix-finaltype
 (equal
  (vl-string-atom-expandsizes
       x finalwidth (vl-exprtype-fix finaltype)
       ctx warnings)
  (vl-string-atom-expandsizes x finalwidth finaltype ctx warnings)))

Theorem: vl-string-atom-expandsizes-vl-exprtype-equiv-congruence-on-finaltype

(defthm
 vl-string-atom-expandsizes-vl-exprtype-equiv-congruence-on-finaltype
 (implies
  (vl-exprtype-equiv finaltype finaltype-equiv)
  (equal
    (vl-string-atom-expandsizes x finalwidth finaltype ctx warnings)
    (vl-string-atom-expandsizes x finalwidth
                                finaltype-equiv ctx warnings)))
 :rule-classes :congruence)

Theorem: vl-string-atom-expandsizes-of-vl-context-fix-ctx

(defthm vl-string-atom-expandsizes-of-vl-context-fix-ctx
 (equal
  (vl-string-atom-expandsizes x finalwidth
                              finaltype (vl-context-fix ctx)
                              warnings)
  (vl-string-atom-expandsizes x finalwidth finaltype ctx warnings)))

Theorem: vl-string-atom-expandsizes-vl-context-equiv-congruence-on-ctx

(defthm
      vl-string-atom-expandsizes-vl-context-equiv-congruence-on-ctx
 (implies
  (vl-context-equiv ctx ctx-equiv)
  (equal
    (vl-string-atom-expandsizes x finalwidth finaltype ctx warnings)
    (vl-string-atom-expandsizes x finalwidth
                                finaltype ctx-equiv warnings)))
 :rule-classes :congruence)

Theorem: vl-string-atom-expandsizes-of-vl-warninglist-fix-warnings

(defthm vl-string-atom-expandsizes-of-vl-warninglist-fix-warnings
 (equal
  (vl-string-atom-expandsizes x finalwidth finaltype
                              ctx (vl-warninglist-fix warnings))
  (vl-string-atom-expandsizes x finalwidth finaltype ctx warnings)))

Theorem: vl-string-atom-expandsizes-vl-warninglist-equiv-congruence-on-warnings

(defthm
 vl-string-atom-expandsizes-vl-warninglist-equiv-congruence-on-warnings
 (implies
  (vl-warninglist-equiv warnings warnings-equiv)
  (equal
    (vl-string-atom-expandsizes x finalwidth finaltype ctx warnings)
    (vl-string-atom-expandsizes x finalwidth
                                finaltype ctx warnings-equiv)))
 :rule-classes :congruence)