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    • Vl-expr-expandsizes

    Vl-weirdint-atom-expandsizes

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

    Signature
    (vl-weirdint-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-weirdint-atom-expandsizes

    (defun vl-weirdint-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-weirdint-p (vl-atom->guts x)))))
     (let ((__function__ 'vl-weirdint-atom-expandsizes))
      (declare (ignorable __function__))
      (b*
       ((x (vl-expr-fix x))
        (guts (vl-atom->guts x))
        (finalwidth (lnfix finalwidth))
        (finaltype (vl-exprtype-fix finaltype))
        (ctx (vl-context-fix ctx))
        ((vl-weirdint guts) guts)
        ((when (> guts.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 (or (eq guts.origtype finaltype)
                     (and (eq guts.origtype :vl-signed)
                          (eq finaltype :vl-unsigned))))
         (mv
          nil
          (fatal
           :type :vl-programming-error
           :msg
           "~a0: origtype is ~s1 but finaltype is ~s2 when ~
                             expanding ~a3.  This indicates a serious bug in our ~
                             typing code."
           :args (list ctx guts.origtype finaltype x))
          x))
        ((when (= guts.origwidth finalwidth))
         (b* ((new-guts (if (eq guts.origtype finaltype)
                            guts
                          (change-vl-weirdint guts
                                              :origwidth finalwidth
                                              :origtype finaltype)))
              (new-x (change-vl-atom x
                                     :guts new-guts
                                     :finalwidth finalwidth
                                     :finaltype finaltype)))
           (mv t (ok) new-x)))
        ((when (eq finaltype :vl-unsigned))
         (b* ((new-bits (append (replicate (- finalwidth guts.origwidth)
                                           :vl-0val)
                                (list-fix guts.bits)))
              (new-guts (change-vl-weirdint guts
                                            :bits new-bits
                                            :origwidth finalwidth
                                            :origtype finaltype))
              (new-x (change-vl-atom x
                                     :guts new-guts
                                     :finalwidth finalwidth
                                     :finaltype finaltype)))
           (mv t (ok) new-x)))
        (sign-bit (car guts.bits))
        (new-bits (append (replicate (- finalwidth guts.origwidth)
                                     sign-bit)
                          (list-fix guts.bits)))
        (new-guts (change-vl-weirdint guts
                                      :bits new-bits
                                      :origwidth finalwidth))
        (new-x (change-vl-atom x
                               :guts new-guts
                               :finalwidth finalwidth
                               :finaltype finaltype))
        ((unless guts.wasunsized)
         (mv t (ok) new-x))
        (minorp (eq sign-bit :vl-0val))
        (warnings
         (warn
          :type
          (if minorp :vl-warn-integer-size-minor
            :vl-warn-integer-size)
          :msg
          (if minorp
           "~a0: the unsized integer ~a1 occurs in a context that ~
                            is larger than 32-bits.  In rare cases (particularly ~
                            involving right-shifts), the resulting expression may ~
                            produce different results on Verilog implementations ~
                            with different integer sizes; consider adding an ~
                            explicit size to this number."
           "~a0: the unsized integer ~a1 occurs in a signed context ~
                          that is larger than 32-bits; it is likely that this ~
                          could cause the expression results to differ between ~
                          Verilog implementations that have different integer ~
                          sizes.  Adding an explicit size to this number is ~
                          recommended.")
          :args (list ctx x))))
       (mv t warnings new-x))))

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

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

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

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

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

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

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

    (defthm warning-irrelevance-of-vl-weirdint-atom-expandsizes
     (let
      ((ret1 (vl-weirdint-atom-expandsizes
                  x finalwidth finaltype ctx warnings))
       (ret2
         (vl-weirdint-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-weirdint-atom-expandsizes

    (defthm no-change-loserp-of-vl-weirdint-atom-expandsizes
      (let ((ret (vl-weirdint-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-weirdint-atom-expandsizes

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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