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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)