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Vl-dimensionlist-total-size

Given a dimensionlist like [5:0][3:1][0:8], multiplies the dimensions together to get the total number of bits, or returns nil if there are unsized dimensions (e.g., associative dimensions, queue dimensions, or dynamic array dimensions).

Signature

(vl-dimensionlist-total-size x) → size

Arguments

x — Guard (vl-dimensionlist-p x).

Returns

size — Type (maybe-posp size).

Definitions and Theorems

Function: vl-dimensionlist-total-size

(defun vl-dimensionlist-total-size (x)
       (declare (xargs :guard (vl-dimensionlist-p x)))
       (declare (xargs :guard (vl-dimensionlist-resolved-p x)))
       (let ((__function__ 'vl-dimensionlist-total-size))
            (declare (ignorable __function__))
            (b* (((when (atom x)) 1)
                 (rest-size (vl-dimensionlist-total-size (cdr x)))
                 ((unless rest-size) nil)
                 ((mv first-unresolved first-size)
                  (vl-dimension-size (car x)))
                 ((when (or first-unresolved (not first-size)))
                  nil))
                (* first-size rest-size))))

Theorem: maybe-posp-of-vl-dimensionlist-total-size

(defthm maybe-posp-of-vl-dimensionlist-total-size
        (b* ((size (vl-dimensionlist-total-size x)))
            (maybe-posp size))
        :rule-classes :type-prescription)

Theorem: vl-dimensionlist-total-size-of-cdr

(defthm vl-dimensionlist-total-size-of-cdr
        (implies (vl-dimensionlist-total-size x)
                 (vl-dimensionlist-total-size (cdr x)))
        :rule-classes (:rewrite :type-prescription))

Theorem: vl-dimensionlist-total-size-of-append

(defthm vl-dimensionlist-total-size-of-append
        (equal (vl-dimensionlist-total-size (append x y))
               (and (vl-dimensionlist-total-size x)
                    (vl-dimensionlist-total-size y)
                    (* (vl-dimensionlist-total-size x)
                       (vl-dimensionlist-total-size y)))))

Theorem: vl-dimensionlist-total-size-of-vl-dimensionlist-fix-x

(defthm
     vl-dimensionlist-total-size-of-vl-dimensionlist-fix-x
     (equal (vl-dimensionlist-total-size (vl-dimensionlist-fix x))
            (vl-dimensionlist-total-size x)))

Theorem: vl-dimensionlist-total-size-vl-dimensionlist-equiv-congruence-on-x

(defthm
  vl-dimensionlist-total-size-vl-dimensionlist-equiv-congruence-on-x
  (implies (vl-dimensionlist-equiv x x-equiv)
           (equal (vl-dimensionlist-total-size x)
                  (vl-dimensionlist-total-size x-equiv)))
  :rule-classes :congruence)