Propagate the final width and type of an expression into a weird integer atom.
(vl-string-atom-expandsizes x finalwidth finaltype ctx warnings) → (mv successp warnings new-x)
Function:
(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:
(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:
(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:
(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:
(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:
(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:
(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:
(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:
(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:
(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:
(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:
(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:
(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:
(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:
(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:
(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:
(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:
(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:
(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)