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• Vl-expr-wildelim

Vl-wildeq-decompose-rhs

Compute the care mask and zapped right-hand side for an ==? or !=? operator.

Signature

(vl-wildeq-decompose-rhs rhs) → (mv okp care-mask zapped)

Arguments

rhs — Guard (vl-expr-p rhs).

Returns

okp — Type (booleanp okp).

care-mask — Type (equal (vl-expr-p care-mask) (if okp t nil)).

zapped — Type (equal (vl-expr-p zapped) (if okp t nil)).

Definitions and Theorems

Function: vl-wildeq-decompose-rhs

(defun vl-wildeq-decompose-rhs (rhs)
  (declare (xargs :guard (vl-expr-p rhs)))
  (declare (xargs :guard (vl-expr-welltyped-p rhs)))
  (let ((__function__ 'vl-wildeq-decompose-rhs))
    (declare (ignorable __function__))
    (b* (((mv okp msb-bits)
          (vl-intliteral-msb-bits rhs))
         ((unless okp) (mv nil nil nil))
         (finalwidth (vl-expr->finalwidth rhs))
         (finaltype (vl-expr->finaltype rhs))
         ((unless (posp finalwidth))
          (mv nil nil nil))
         ((unless finaltype) (mv nil nil nil))
         (cm-value (vl-msb-bits-to-zx-care-mask msb-bits 0))
         (cm-guts (make-vl-constint :value cm-value
                                    :origwidth finalwidth
                                    :origtype finaltype))
         (cm-expr (make-vl-atom :guts cm-guts
                                :finalwidth finalwidth
                                :finaltype finaltype))
         (zap-bits (vl-msb-bits-zap-dontcares-zx msb-bits))
         (zap-expr (vl-msb-bits-to-intliteral zap-bits finaltype)))
      (mv t cm-expr zap-expr))))

Theorem: booleanp-of-vl-wildeq-decompose-rhs.okp

(defthm booleanp-of-vl-wildeq-decompose-rhs.okp
  (b* (((mv ?okp ?care-mask ?zapped)
        (vl-wildeq-decompose-rhs rhs)))
    (booleanp okp))
  :rule-classes :type-prescription)

Theorem: return-type-of-vl-wildeq-decompose-rhs.care-mask

(defthm return-type-of-vl-wildeq-decompose-rhs.care-mask
  (b* (((mv ?okp ?care-mask ?zapped)
        (vl-wildeq-decompose-rhs rhs)))
    (equal (vl-expr-p care-mask)
           (if okp t nil)))
  :rule-classes :rewrite)

Theorem: return-type-of-vl-wildeq-decompose-rhs.zapped

(defthm return-type-of-vl-wildeq-decompose-rhs.zapped
  (b* (((mv ?okp ?care-mask ?zapped)
        (vl-wildeq-decompose-rhs rhs)))
    (equal (vl-expr-p zapped)
           (if okp t nil)))
  :rule-classes :rewrite)

Theorem: vl-expr-welltyped-p-of-vl-wildeq-decompose-rhs.care-mask

(defthm vl-expr-welltyped-p-of-vl-wildeq-decompose-rhs.care-mask
  (implies (vl-expr-welltyped-p rhs)
           (b* (((mv ?okp ?care-mask ?zapped)
                 (vl-wildeq-decompose-rhs rhs)))
             (implies okp
                      (and (vl-expr-welltyped-p care-mask)
                           (equal (vl-expr->finalwidth care-mask)
                                  (vl-expr->finalwidth rhs))
                           (equal (vl-expr->finaltype care-mask)
                                  (vl-expr->finaltype rhs))))))
  :rule-classes :rewrite)

Theorem: vl-expr-welltyped-p-of-vl-wildeq-decompose-rhs.zapped

(defthm vl-expr-welltyped-p-of-vl-wildeq-decompose-rhs.zapped
  (implies (vl-expr-welltyped-p rhs)
           (b* (((mv ?okp ?care-mask ?zapped)
                 (vl-wildeq-decompose-rhs rhs)))
             (implies okp
                      (and (vl-expr-welltyped-p zapped)
                           (equal (vl-expr->finalwidth zapped)
                                  (vl-expr->finalwidth rhs))
                           (equal (vl-expr->finaltype zapped)
                                  (vl-expr->finaltype rhs))))))
  :rule-classes :rewrite)

Theorem: vl-wildeq-decompose-rhs-of-vl-expr-fix-rhs

(defthm vl-wildeq-decompose-rhs-of-vl-expr-fix-rhs
  (equal (vl-wildeq-decompose-rhs (vl-expr-fix rhs))
         (vl-wildeq-decompose-rhs rhs)))

Theorem: vl-wildeq-decompose-rhs-vl-expr-equiv-congruence-on-rhs

(defthm vl-wildeq-decompose-rhs-vl-expr-equiv-congruence-on-rhs
  (implies (vl-expr-equiv rhs rhs-equiv)
           (equal (vl-wildeq-decompose-rhs rhs)
                  (vl-wildeq-decompose-rhs rhs-equiv)))
  :rule-classes :congruence)